Finite Group Databasebeta

← #33994581

Subgroups — #33994581

Order 18688.

7220 conjugacy classes of subgroups.

The subgroup lattice has 2638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624038C212yesmaximal, complemented
2#22624019C211yesmaximal, characteristic, complemented
3#22624014C211yesmaximal, characteristic, complemented
4#22624001C212yesmaximal, complemented
5#22623989C214yesmaximal, complemented
6#22623974C212yesmaximal, complemented
7#22623963C211yesmaximal, characteristic, complemented
8#22623951C212yesmaximal, complemented
9#22623945C211yesmaximal, characteristic, complemented
10#22623936C211yesmaximal, characteristic, complemented
11#22623921C212yesmaximal, complemented
12#22623906C212yesmaximal, complemented
13#22623900C211yesmaximal, characteristic, complemented
14#22623893C211yesmaximal, characteristic, complemented
15#22623885C212yesmaximal, complemented
16#22623872C212yesmaximal, complemented
17#22623858C214yesmaximal, complemented
18#22623523C211yesmaximal, characteristic, complemented
19#22623521C212yesmaximal, complemented
20Q8×#11924027C211yesmaximal, characteristic, complemented
21#22623497C212yesmaximal, complemented
22#22623496C212yesmaximal, complemented
23#22623494C211yesmaximal, characteristic, complemented
24#22623486C214yesmaximal, complemented
25#22623418C211yesmaximal, characteristic, complemented
26#22623415C212yesmaximal, complemented
27#22623318C212yesmaximal, complemented
28#22623317C214yesmaximal, complemented
29#22623228C211yesmaximal, characteristic, complemented
30#22623223C212yesmaximal, complemented
31C2×#17989123C212yesmaximal, complemented
32#529×D73C211yesmaximal, characteristic, complemented
33#22623131C212yesmaximal, complemented
34C2×C4×#11924027C211yesmaximal, characteristic, complemented
35C73×#3520C211yesmaximal, characteristic, complemented
36C22×#11924027C2211yescharacteristic
37C2×#41×D73C2212yes—
38#17989322C2211yescharacteristic, complemented
39#17989319C2212yescomplemented
40#17989319C2214yescomplemented
41#17989319C2212yescomplemented
42Q8×Dic146C2211yescharacteristic, complemented
43#17989313C2212yescomplemented
44#17989312C2211yescharacteristic, complemented
45#17989312C2211yescharacteristic, complemented
46#17989312C2212yescomplemented
47#17989311C2211yescharacteristic, complemented
48#17989310C2212yescomplemented
49#17989309C2212yescomplemented
50#17989309C2212yescomplemented
51#17989308C2214yescomplemented
52#17989308C2212yescomplemented
53#17989304C2214yescomplemented
54#17989303C2212yescomplemented
55#17989302C2211yescharacteristic, complemented
56#17989300C2212yescomplemented
57#17989299C2214yescomplemented
58#17989295C2214yescomplemented
59#17989295C2212yescomplemented
60#17989294C2212yescomplemented
61#17989294C2211yescharacteristic, complemented
62#17989294C2211yescharacteristic, complemented
63#17989293C2212yescomplemented
64#17989291C2214yescomplemented
65#17989289C2212yescomplemented
66#17989289C2214yescomplemented
67#17989289C2212yescomplemented
68#17989288C2214yescomplemented
69#17989288C2214yescomplemented
70#17989286C2214yescomplemented
71#17989285C2212yescomplemented
72#17989285C2212yescomplemented
73#17989283C2214yescomplemented
74#17989283C2212yescomplemented
75#17989282C2214yescomplemented
76#17989281C2212yescomplemented
77#17989279C2212yescomplemented
78#17989279C2212yescomplemented
79#17989275C2214yescomplemented
80#17989274C2214yescomplemented
81#17989273C2214yescomplemented
82#17989272C2212yescomplemented
83#17989272C2212yescomplemented
84#17989271C2212yescomplemented
85#17989270C2214yescomplemented
86#17989270C2214yescomplemented
87#17989269C2214yescomplemented
88#17989266C2214yescomplemented
89#17989264C2214yescomplemented
90#17989264C2214yescomplemented
91#17989264C2214yescomplemented
92#17989263C2214yescomplemented
93#17989261C2214yescomplemented
94#17989260C2214yescomplemented
95#17989260C2214yescomplemented
96#17989258C2211yescharacteristic, complemented
97#17989258C2211yescharacteristic, complemented
98#17989256C2212yescomplemented
99#17989255C2212yescomplemented
100#17989252C2211yescharacteristic, complemented
101Q8×C22⋊D73C2212yescomplemented
102#17989250C2212yescomplemented
103#17989248C2212yescomplemented
104#17989247C2212yescomplemented
105#17989247C2212yescomplemented
106#17989246C2212yescomplemented
107#17989245C2212yescomplemented
108#17989241C2212yescomplemented
109#17989239C2212yescomplemented
110#17989238C2212yescomplemented
111#17989236C2212yescomplemented
112#17989235C2214yescomplemented
113#17989235C2214yescomplemented
114#17989233C2212yescomplemented
115#17989232C2212yescomplemented
116#17989232C2214yescomplemented
117#17989229C2214yescomplemented
118#17989228C2212yescomplemented
119#17989227C2214yescomplemented
120#17989227C2214yescomplemented
121#17989226C2214yescomplemented
122#17989225C2212yescomplemented
123#17989225C2212yescomplemented
124#17989224C2214yescomplemented
125D4×D292C2211yescharacteristic, complemented
126#17989221C2212yescomplemented
127D4×C22⋊D73C2212yescomplemented
128#17989219C2214yescomplemented
129#17989211C2212yescomplemented
130#17989208C2212yescomplemented
131#17989207C2214yescomplemented
132#17989207C2214yescomplemented
133#17989206C2212yescomplemented
134#17989203C2214yescomplemented
135#17989203C2214yescomplemented
136#17989197C2212yescomplemented
137#17989196C2214yescomplemented
138#17989196C2214yescomplemented
139#17989195C2212yescomplemented
140#17989190C2212yescomplemented
141#17989189C2214yescomplemented
142#17989189C2214yescomplemented
143#17989188C2212yescomplemented
144#17989184C2214yescomplemented
145#17989183C2214yescomplemented
146#17989181C2214yescomplemented
147#17989181C2214yescomplemented
148#17989178C2214yescomplemented
149#17989177C2214yescomplemented
150#17989174C2214yescomplemented
151#17989173C2214yescomplemented
152#17989171C2214yescomplemented
153#17989170C2214yescomplemented
154#17989170C2214yescomplemented
155#17989142C2211yescharacteristic, complemented
156#17989142C2212yescomplemented
157#17989142C2211yescharacteristic, complemented
158#17989140C2212yescomplemented
159#17989139C2212yescomplemented
160#17989139C2212yescomplemented
161#17989139C2214yescomplemented
162#17989138C2211yescharacteristic, complemented
163#17989138C2211yescharacteristic, complemented
164#17989137C2211yescharacteristic, complemented
165#17989136C2212yescomplemented
166#17989133C2212yescomplemented
167#17989132C2212yescomplemented
168#17989132C2214yescomplemented
169#17989132C2212yescomplemented
170#17989124C2212yescomplemented
171#17989124C2212yescomplemented
172#17989124C2211yescharacteristic, complemented
173#17989123C2212yes—
174#17989123C2211yescharacteristic
175#17989123C2212yescomplemented
176#17989123C2214yescomplemented
177#17989123C2214yescomplemented
178#17989123C2212yescomplemented
179#17989123C2212yescomplemented
180#17989123C2214yescomplemented
181#17989123C2214yescomplemented
182#17989123C2214yescomplemented
183#17989123C2212yescomplemented
184#17989123C2212yescomplemented
185#17989123C2212yescomplemented
186#17989123C2212yescomplemented
187#17989123C2212yescomplemented
188#17989122C2211yescharacteristic, complemented
189#17989122C2214yescomplemented
190#17989122C2212yescomplemented
191#17989122C2212yescomplemented
192#17989121C2211yescharacteristic
193#17989120C2214yescomplemented
194#17989120C2214yescomplemented
195#17989120C2212yescomplemented
196#17989119C2211yescharacteristic, complemented
197#17989118C2212yescomplemented
198#17989118C2211yescharacteristic, complemented
199#17989117C2214yescomplemented
200#17989117C2214yescomplemented
201#17989117C2212yescomplemented
202#17989116C2211yescharacteristic, complemented
203#17989116C2214yescomplemented
204#17989115C2212yescomplemented
205#17989114C2214yescomplemented
206#17989114C2214yescomplemented
207#17989114C2214yescomplemented
208#17989114C2212yescomplemented
209C2×#14556586C2214yescomplemented
210#126×D73C2212yescomplemented
211C2×#14556582C2212yescomplemented
212#125×D73C2211yescharacteristic, complemented
213C2×#14556580C2212yescomplemented
214#124×D73C2211yescharacteristic, complemented
215#17989100C2212yescomplemented
216#17989100C2212yescomplemented
217#17989100C2212yescomplemented
218#17989099C2212yescomplemented
219#17989098C2212yescomplemented
220#17989097C2212yescomplemented
221#17989095C2214yescomplemented
222#17989095C2214yescomplemented
223#17989093C2214yescomplemented
224#17989093C2214yescomplemented
225C2×#14556575C2214yescomplemented
226#123×D73C2212yescomplemented
227C22⋊Q8×D73C2211yescharacteristic, complemented
228C2×#14556565C2212yes—
229#121×D73C2211yescharacteristic
230#17989070C2212yescomplemented
231#17989068C2212yescomplemented
232#17989068C2214yescomplemented
233#17989067C2212yescomplemented
234#17989067C2214yescomplemented
235#17989063C2212yescomplemented
236#17989063C2212yescomplemented
237#17989059C2212yescomplemented
238#17989059C2214yescomplemented
239#17989059C2212yescomplemented
240#17989059C2214yescomplemented
241#41×Dic73C2212yescomplemented
242C4×#11924029C2212yescomplemented
243C4×#11924029C2212yescomplemented
244C4×#11924029C2212yescomplemented
245#17989055C2212yescomplemented
246#17989055C2212yescomplemented
247C4×#11924027C2211yescharacteristic
248C4×#11924027C2212yes—
249C4×#11924027C2211yescharacteristic
250C4×#11924027C2211yescharacteristic, complemented
251C4×#11924027C2211yescharacteristic, complemented
252C4×#11924027C2212yescomplemented
253C4×#11924027C2214yescomplemented
254C4×#11924027C2214yescomplemented
255C4×#11924027C2211yescharacteristic, complemented
256C4×#11924027C2212yescomplemented
257C4×#11924027C2214yescomplemented
258C4×#11924027C2211yescharacteristic, complemented
259C4×#11924027C2212yescomplemented
260C4×#11924027C2211yescharacteristic, complemented
261C4×#11924027C2211yescharacteristic, complemented
262C4×#11924027C2212yescomplemented
263C2×Q8×Dic73C2212yescomplemented
264C2×C4×Dic146C2211yescharacteristic, complemented
265C2×#14556556C2211yescharacteristic, complemented
266C4×Q8×D73C2211yescharacteristic, complemented
267C2×D4×Dic73C2211yescharacteristic, complemented
268C2×#14556553C2212yescomplemented
269C2×C4×C22⋊D73C2212yescomplemented
270C2×#14556551C2212yescomplemented
271C2×#14556551C2214yescomplemented
272C4×D4×D73C2211yescharacteristic, complemented
273C4×D4×D73C2212yescomplemented
274C2×#14556549C2212yescomplemented
275C2×#14556549C2211yescharacteristic, complemented
276C2×#14556549C2214yescomplemented
277C2×#14556547C2212yescomplemented
278#117×D73C2214yescomplemented
279#117×D73C2212yescomplemented
280C22×C4×Dic73C2212yescomplemented
281C2×C42×D73C2211yescharacteristic, complemented
282#556×C73C2211yescharacteristic, complemented
283#554×C73C2212yescomplemented
284#552×C73C2212yescomplemented
285#551×C73C2214yescomplemented
286D4×Q8×C73C2211yescharacteristic, complemented
287#548×C73C2212yescomplemented
288#547×C73C2211yescharacteristic, complemented
289#547×C73C2211yescharacteristic, complemented
290#546×C73C2212yescomplemented
291#542×C73C2212yescomplemented
292#539×C73C2214yescomplemented
293#533×C73C2211yescharacteristic, complemented
294#529×C73C2211yescharacteristic, complemented
295#525×C73C2212yescomplemented
296C2×C22⋊Q8×C73C2212yescomplemented
297#520×C73C2212yescomplemented
298C2×C4×D4×C73C2211yescharacteristic, complemented
299C2×#11924029C2312yes—
300C2×#11924029C2312yes—
301C2×#11924028C2314yes—
302C2×#11924028C2312yes—
303C2×#11924028C2312yes—
304C2×#11924028C2312yes—
305C2×#11924027—28no—
306C2×#11924027C2314yes—
307C2×#11924027C2312yes—
308C2×#11924027C2311yescharacteristic
309C2×#11924027C2312yes—
310C2×#11924027C2311yescharacteristic
311C2×#11924027C2311yescharacteristic
312C2×#11924027C2314yes—
313C2×#11924027C2311yescharacteristic
314#41×D73—216no—
315C22×Dic146C2311yescharacteristic
316C2×Q8×D73C2312yes—
317C2×Q8×D73C2311yescharacteristic
318C22×D292C2312yes—
319C22×C22⋊D73C2312yes—
320C22×C22⋊D73C2314yes—
321C2×D4×D73C2314yes—
322C2×D4×D73C2312yes—
323C2×D4×D73C2312yes—
324C2×D4×D73C2311yescharacteristic
325C23×Dic73C2312yes—
326C23×Dic73C2312yes—
327C22×C4×D73C2312yes—
328C22×C4×D73C2314yes—
329C22×C4×D73C2311yescharacteristic
330C22×C4×D73C2311yescharacteristic
331C22×C4×D73C2311yescharacteristic
332#14556591C2311yescharacteristic
333#14556591C2312yes—
334#14556590C2312yes—
335#14556590C2312yes—
336#14556590C2314yes—
337#14556590C2314yes—
338#14556589C2312yes—
339#14556589C2312yes—
340#14556589C2314yes—
341#14556588C2311yescharacteristic
342#14556587C2312yes—
343#14556587C2314yes—
344#14556587C2312yes—
345#14556586C2314yes—
346#14556586C2314yes—
347#14556586C2314yes—
348#14556586C2314yes—
349#14556586C2312yes—
350#14556586C2312yes—
351#14556586C2314yes—
352#14556586C2314yes—
353#14556586C2314yes—
354#14556586C2314yes—
355#14556586C2314yes—
356#14556586C2314yes—
357#14556586C2314yes—
358#14556586C2314yes—
359#14556586C2314yes—
360#14556586C2312yes—
361#14556586C2314yes—
362#14556585C2312yes—
363#14556585C2314yes—
364#14556585C2314yes—
365#14556584C2314yes—
366#14556584C2314yes—
367#14556584C2314yes—
368#14556584C2314yes—
369#14556584C2312yes—
370#14556584C2312yes—
371#14556584C2312yes—
372#14556583C2311yescharacteristic
373#14556583C2314yes—
374#14556582C2311yescharacteristic
375#14556582C2312yes—
376#14556582C2311yescharacteristic
377#14556582C2312yes—
378#14556582C2314yes—
379#14556582C2312yes—
380#14556582C2314yes—
381#14556582C2312yes—
382#14556582C2314yes—
383#14556582C2312yes—
384#14556582C2312yes—
385#14556581C2312yes—
386#14556581C2314yes—
387#14556581C2314yes—
388#14556581C2314yes—
389#14556581C2314yes—
390#14556581C2314yes—
391#14556581C2314yes—
392#14556581C2314yes—
393#14556581C2312yes—
394#14556580C2311yescharacteristic
395#14556580C2312yes—
396#14556580C2312yes—
397#14556580C2314yes—
398#14556580C2312yes—
399#14556580C2314yes—
400#14556580C2312yes—
401#14556580C2314yes—
402#14556579C2311yescharacteristic
403#14556579C2312yes—
404#14556579C2314yes—
405#14556579C2312yes—
406#14556578C2311yescharacteristic
407#14556577C2314yes—
408#14556577C2312yes—
409#14556577C2314yes—
410#14556577C2314yes—
411#14556577C2314yes—
412#14556577C2314yes—
413#14556577C2314yes—
414#14556577C2314yes—
415#14556577C2312yes—
416#14556576C2312yes—
417#14556576C2314yes—
418#14556576C2314yes—
419#14556576C2314yes—
420#14556576C2314yes—
421#14556576C2314yes—
422#14556576C2314yes—
423#14556576C2312yes—
424#14556576C2314yes—
425#14556575C2312yes—
426#14556575C2314yes—
427#14556575C2314yes—
428#14556575C2314yes—
429#14556575C2314yes—
430#14556575C2314yes—
431#14556575C2314yes—
432#14556575C2314yes—
433#14556575C2314yes—
434#14556575C2314yes—
435#14556575C2314yes—
436#14556574C2312yes—
437#14556574C2314yes—
438#14556574C2314yes—
439#14556574C2314yes—
440#14556574C2314yes—
441#14556573C2312yes—
442#14556573C2314yes—
443#14556573C2314yes—
444#14556573C2314yes—
445#14556573C2314yes—
446#14556573C2314yes—
447#14556573C2312yes—
448#14556572C2314yes—
449#14556572C2312yes—
450#14556571C2312yes—
451#14556571C2312yes—
452#14556571C2314yes—
453#14556571C2311yescharacteristic
454#14556571C2314yes—
455#14556571C2312yes—
456#14556570C2311yescharacteristic
457#14556570C2314yes—
458#14556570C2312yes—
459#14556570C2312yes—
460#14556569C2314yes—
461#14556569C2312yes—
462#14556569C2314yes—
463#14556569C2314yes—
464#14556569C2314yes—
465#14556569C2314yes—
466#14556569C2314yes—
467#14556568C2314yes—
468#14556568C2314yes—
469#14556568C2314yes—
470#14556568C2314yes—
471#14556568C2314yes—
472#14556568C2314yes—
473#14556568C2314yes—
474#14556568C2312yes—
475#14556567C2312yes—
476#14556567C2312yes—
477#14556567C2311yescharacteristic
478#14556567C2314yes—
479#14556567C2314yes—
480#14556567C2312yes—
481#14556566C2311yescharacteristic
482#14556566C2312yes—
483#14556566C2312yes—
484#14556566C2314yes—
485#14556566C2312yes—
486#14556566C2312yes—
487#14556566C2312yes—
488#14556565C2311yescharacteristic
489#14556565C2312yes—
490#14556565C2314yes—
491#14556565C2312yes—
492#14556565C2314yes—
493#14556565C2312yes—
494#14556565C2312yes—
495#14556565C2312yes—
496#14556565C2314yes—
497#14556565C2314yes—
498#14556565C2312yes—
499#14556564C2312yes—
500#14556564C2314yes—
501#14556564C2314yes—
502#14556564C2314yes—
503#14556564C2314yes—
504#14556564C2314yes—
505#14556564C2314yes—
506#14556564C2314yes—
507#14556564C2314yes—
508#14556563C2314yes—
509#14556563C2314yes—
510#14556563C2314yes—
511#14556563C2314yes—
512#14556563C2314yes—
513#14556563C2314yes—
514#14556563C2314yes—
515#14556563C2312yes—
516#14556562C2314yes—
517#14556562C2312yes—
518#14556562C2311yescharacteristic
519#14556561C2314yes—
520#14556561C2314yes—
521#14556561C2314yes—
522#14556561C2314yes—
523#14556560C2314yes—
524#14556559C2314yes—
525#14556559C2314yes—
526#14556559C2314yes—
527Q8×Dic73C2311yescharacteristic
528Q8×Dic73C2312yes—
529Q8×Dic73C2314yes—
530Q8×Dic73C2312yes—
531Q8×Dic73C2312yes—
532Q8×Dic73C2314yes—
533Q8×Dic73C2312yes—
534Q8×Dic73C2312yes—
535Q8×Dic73C2312yes—
536C4×Dic146C2311yescharacteristic
537C4×Dic146C2314yes—
538C4×Dic146C2314yes—
539C4×Dic146C2311yescharacteristic
540C4×Dic146C2312yes—
541C4×Dic146C2312yes—
542C4×Dic146C2311yescharacteristic
543C4×Dic146C2314yes—
544C4×Dic146C2312yes—
545C4×Dic146C2312yes—
546C4×Dic146C2311yescharacteristic
547C4×Dic146C2311yescharacteristic
548#14556556C2312yes—
549#14556556C2314yes—
550#14556556C2312yes—
551#14556556C2311yescharacteristic
552#14556556C2312yes—
553#14556556C2314yes—
554#14556556C2312yes—
555#14556556C2312yes—
556#14556556C2311yescharacteristic
557#14556556C2311yescharacteristic
558#14556556C2312yes—
559#14556556C2312yes—
560#14556556C2311yescharacteristic
561#14556556C2314yes—
562#14556556C2311yescharacteristic
563C4×D292C2311yescharacteristic
564C4×D292C2312yes—
565C4×D292C2312yes—
566C4×D292C2314yes—
567C4×D292C2312yes—
568C4×D292C2314yes—
569C4×D292C2314yes—
570C4×D292C2312yes—
571D4×Dic73C2311yescharacteristic
572D4×Dic73C2312yes—
573D4×Dic73C2314yes—
574D4×Dic73C2312yes—
575D4×Dic73C2314yes—
576D4×Dic73C2311yescharacteristic
577D4×Dic73C2312yes—
578D4×Dic73C2314yes—
579D4×Dic73C2311yescharacteristic
580D4×Dic73C2312yes—
581D4×Dic73C2314yes—
582D4×Dic73C2311yescharacteristic
583D4×Dic73C2312yes—
584D4×Dic73C2311yescharacteristic
585#14556553C2312yes—
586#14556553C2312yes—
587#14556553C2314yes—
588#14556553C2314yes—
589#14556553C2311yescharacteristic
590#14556553C2312yes—
591#14556553C2314yes—
592#14556553C2312yes—
593#14556553C2312yes—
594#14556553C2314yes—
595#14556553C2312yes—
596#14556553C2312yes—
597#14556553C2312yes—
598#14556553C2314yes—
599#14556553C2312yes—
600C4×C22⋊D73C2312yes—
601C4×C22⋊D73C2314yes—
602C4×C22⋊D73C2314yes—
603C4×C22⋊D73C2312yes—
604C4×C22⋊D73C2314yes—
605C4×C22⋊D73C2312yes—
606C4×C22⋊D73C2312yes—
607C4×C22⋊D73C2312yes—
608C4×C22⋊D73C2312yes—
609C4×C22⋊D73C2312yes—
610C4×C22⋊D73C2314yes—
611C4×C22⋊D73C2314yes—
612C4×C22⋊D73C2312yes—
613C4×C22⋊D73C2312yes—
614C4×C22⋊D73C2312yes—
615C4×C22⋊D73C2314yes—
616C4×C22⋊D73C2314yes—
617C4×C22⋊D73C2312yes—
618#14556551C2314yes—
619#14556551C2312yes—
620#14556551C2314yes—
621#14556551C2314yes—
622#14556551C2312yes—
623#14556551C2312yes—
624#14556551C2314yes—
625#14556551C2314yes—
626#14556551C2314yes—
627#14556551C2314yes—
628#14556551C2314yes—
629#14556551C2314yes—
630#14556551C2314yes—
631#14556551C2314yes—
632#14556551C2314yes—
633#14556551C2312yes—
634#14556551C2312yes—
635#14556551C2312yes—
636#14556551C2314yes—
637#14556551C2314yes—
638#14556551C2312yes—
639#14556551C2314yes—
640#14556551C2312yes—
641#14556551C2314yes—
642#14556551C2312yes—
643#14556551C2312yes—
644#14556551C2312yes—
645#14556550C2312yes—
646#14556550C2312yes—
647#14556550C2314yes—
648#14556550C2314yes—
649#14556549C2312yes—
650#14556549C2312yes—
651#14556549C2314yes—
652#14556549C2312yes—
653#14556549C2314yes—
654#14556549C2314yes—
655#14556549C2314yes—
656#14556549C2314yes—
657#14556549C2314yes—
658#14556549C2314yes—
659#14556549C2314yes—
660#14556549C2314yes—
661#14556549C2311yescharacteristic
662#14556549C2312yes—
663#14556549C2312yes—
664#14556549C2314yes—
665#14556549C2312yes—
666#14556549C2312yes—
667#14556549C2311yescharacteristic
668#14556549C2312yes—
669#14556549C2311yescharacteristic
670#14556549C2311yescharacteristic
671#14556548C2312yes—
672#14556548C2314yes—
673#14556548C2312yes—
674#14556548C2314yes—
675#14556548C2314yes—
676#14556548C2314yes—
677#14556547C2312yes—
678#14556547C2312yes—
679#14556547C2312yes—
680#14556547C2314yes—
681#14556547C2312yes—
682#14556547C2314yes—
683#14556547C2312yes—
684#14556547C2314yes—
685#14556547C2312yes—
686#14556547C2312yes—
687#14556547C2312yes—
688#14556547C2312yes—
689#14556547C2312yes—
690C2×C4⋊Dic73C2314yes—
691C2×C4⋊Dic73C2311yescharacteristic
692C2×C4⋊Dic73C2312yes—
693C2×C4⋊Dic73C2312yes—
694C2×C4⋊Dic73C2314yes—
695C2×#11924007C2312yes—
696C2×#11924007C2314yes—
697C2×#11924007C2312yes—
698C4⋊C4×D73C2312yes—
699C4⋊C4×D73C2312yes—
700C4⋊C4×D73C2312yes—
701C4⋊C4×D73C2314yes—
702C4⋊C4×D73C2311yescharacteristic
703C4⋊C4×D73C2314yes—
704C4⋊C4×D73C2311yescharacteristic
705C4⋊C4×D73C2312yes—
706C2×C22⋊Dic73C2312yes—
707C2×#11924005C2314yes—
708C2×#11924005C2314yes—
709C2×#11924005C2314yes—
710C2×#11924005C2314yes—
711C2×#11924005C2314yes—
712C2×#11924005C2312yes—
713C22⋊C4×D73C2312yes—
714C22⋊C4×D73C2312yes—
715C22⋊C4×D73C2314yes—
716C22⋊C4×D73C2312yes—
717C22⋊C4×D73C2312yes—
718C22⋊C4×D73C2314yes—
719C22⋊C4×D73C2312yes—
720C2×C4×Dic73C2311yescharacteristic
721C2×C4×Dic73C2312yes—
722C2×C4×Dic73C2312yes—
723C2×C4×Dic73C2311yescharacteristic
724C2×C4×Dic73C2312yes—
725C2×C4×Dic73C2312yes—
726C2×C4×Dic73C2312yes—
727C2×C4×Dic73C2312yes—
728C2×C4×Dic73C2312yes—
729C2×C4×Dic73C2312yes—
730C2×C4×Dic73C2314yes—
731C2×C4×Dic73C2312yes—
732C2×C4×Dic73C2314yes—
733C2×C4×Dic73C2311yescharacteristic
734C2×C4×Dic73C2312yes—
735C2×C4×Dic73C2312yes—
736C42×D73C2311yescharacteristic
737C42×D73C2314yes—
738C42×D73C2314yes—
739C42×D73C2311yescharacteristic
740C42×D73C2311yescharacteristic
741C42×D73C2311yescharacteristic
742C42×D73C2311yescharacteristic
743C42×D73C2311yescharacteristic
744C42×D73C2312yes—
745C42×D73C2311yescharacteristic
746C42×D73C2311yescharacteristic
747C2×#41×C73C2312yes—
748C2×#41×C73C2312yes—
749C22×Q8×C73C2312yes—
750C22×D4×C73C2311yescharacteristic
751C23×C4×C73C2312yes—
752C4⋊Q8×C73C2311yescharacteristic
753C4⋊Q8×C73C2311yescharacteristic
754C4⋊Q8×C73C2312yes—
755#126×C73C2314yes—
756#126×C73C2312yes—
757#126×C73C2314yes—
758#125×C73C2312yes—
759#125×C73C2314yes—
760#125×C73C2311yescharacteristic
761#124×C73C2312yes—
762#124×C73C2314yes—
763#124×C73C2311yescharacteristic
764#123×C73C2314yes—
765#123×C73C2314yes—
766#123×C73C2314yes—
767#123×C73C2314yes—
768#123×C73C2312yes—
769C22⋊Q8×C73C2311yescharacteristic
770C22⋊Q8×C73C2312yes—
771C22⋊Q8×C73C2314yes—
772C22⋊Q8×C73C2312yes—
773C22⋊Q8×C73C2312yes—
774C22⋊Q8×C73C2314yes—
775C22⋊Q8×C73C2312yes—
776C22⋊Q8×C73C2314yes—
777C22⋊Q8×C73C2312yes—
778C22⋊Q8×C73C2314yes—
779C22⋊Q8×C73C2312yes—
780#121×C73C2311yescharacteristic
781#121×C73C2314yes—
782#121×C73C2312yes—
783#121×C73C2312yes—
784#120×C73C2314yes—
785C4×Q8×C73C2312yes—
786C4×Q8×C73C2311yescharacteristic
787C4×Q8×C73C2312yes—
788C4×Q8×C73C2312yes—
789C4×D4×C73C2312yes—
790C4×D4×C73C2314yes—
791C4×D4×C73C2311yescharacteristic
792C4×D4×C73C2311yescharacteristic
793C4×D4×C73C2312yes—
794C4×D4×C73C2314yes—
795C4×D4×C73C2312yes—
796C4×D4×C73C2312yes—
797C4×D4×C73C2311yescharacteristic
798C4×D4×C73C2311yescharacteristic
799C4×D4×C73C2311yescharacteristic
800C4×D4×C73C2314yes—
801#117×C73C2312yes—
802#117×C73C2312yes—
803#117×C73C2314yes—
804#117×C73C2312yes—
805C2×C4⋊C4×C73C2314yes—
806C2×C4⋊C4×C73C2312yes—
807C2×C4⋊C4×C73C2311yescharacteristic
808C2×C4⋊C4×C73C2312yes—
809C2×C22⋊C4×C73C2312yes—
810C2×C22⋊C4×C73C2314yes—
811C2×C42×C73C2311yescharacteristic
812C23×D73C2411yescharacteristic
813C23×D73C2412yes—
814C23×D73C2414yes—
815#11924029—28no—
816#11924029—44no—
817#11924028—216no—
818#11924028—28no—
819#11924028—44no—
820#11924028—44no—
821#11924027—24no—
822#11924027—28no—
823#11924027—216no—
824#11924027—28no—
825#11924027—24no—
826#11924027—24no—
827#11924027—48no—
828#11924027#4118yescomplemented
829C2×Dic146—24no—
830C2×Dic146C2411yescharacteristic
831C2×Dic146C2414yes—
832C2×Dic146C2412yes—
833C2×Dic146C2411yescharacteristic
834C2×Dic146C2412yes—
835C2×Dic146C2414yes—
836C2×Dic146C2412yes—
837C2×Dic146C2411yescharacteristic
838Q8×D73—28no—
839Q8×D73—42no—
840C2×D292—44no—
841C2×D292C2411yescharacteristic
842C2×D292C2412yes—
843C2×D292C2414yes—
844C2×D292C2412yes—
845C2×D292C2412yes—
846C2×D292C2414yes—
847C2×D292C2412yes—
848C2×D292C2414yes—
849C2×C22⋊D73—28no—
850C2×C22⋊D73—48no—
851C2×C22⋊D73C2414yes—
852C2×C22⋊D73C2412yes—
853C2×C22⋊D73C2412yes—
854C2×C22⋊D73C2414yes—
855C2×C22⋊D73C2412yes—
856C2×C22⋊D73C2414yes—
857C2×C22⋊D73C2412yes—
858C2×C22⋊D73C2414yes—
859C2×C22⋊D73C2414yes—
860C2×C22⋊D73C2414yes—
861C2×C22⋊D73C2412yes—
862C2×C22⋊D73C2414yes—
863C2×C22⋊D73C2412yes—
864C2×C22⋊D73C2412yes—
865D4×D73—28no—
866D4×D73—216no—
867D4×D73—42no—
868D4×D73—44no—
869C22×Dic73—28no—
870C22×Dic73—44no—
871C22×Dic73C2411yescharacteristic
872C22×Dic73C2411yescharacteristic
873C22×Dic73C2412yes—
874C22×Dic73C2412yes—
875C22×Dic73C2412yes—
876C22×Dic73C2412yes—
877C22×Dic73C2412yes—
878C22×Dic73C2412yes—
879C22×Dic73C2412yes—
880C22×Dic73C2412yes—
881C22×Dic73C2411yescharacteristic
882C22×Dic73C2412yes—
883C22×Dic73C2412yes—
884C22×Dic73C2414yes—
885C22×Dic73C2414yes—
886C22×Dic73C2412yes—
887C2×C4×D73—216no—
888C2×C4×D73—28no—
889C2×C4×D73—24no—
890C2×C4×D73—42no—
891C2×C4×D73—42no—
892C2×C4×D73C2411yescharacteristic
893C2×C4×D73C2411yescharacteristic
894C2×C4×D73C2414yes—
895C2×C4×D73C2411yescharacteristic
896C2×C4×D73C2411yescharacteristic
897C2×C4×D73C2411yescharacteristic
898C2×C4×D73C2412yes—
899C2×C4×D73C2414yes—
900C2×C4×D73C2414yes—
901C2×C4×D73C2412yes—
902C2×C4×D73C2412yes—
903C2×C4×D73C2411yescharacteristic
904C2×C4×D73C2411yescharacteristic
905C2×C4×D73C2411yescharacteristic
906C2×C4×D73C2411yescharacteristic
907C2×C4×D73C2411yescharacteristic
908C2×C4×D73C2411yescharacteristic
909C2×C4×D73C2412yes—
910C2×C4×D73C2412yes—
911C2×C4×D73C2414yes—
912C2×C4×D73C2414yes—
913C2×C4×D73C2414yes—
914C2×C4×D73C2414yes—
915C2×C4×D73C2411yescharacteristic
916C4⋊Dic73C2412yes—
917C4⋊Dic73C2414yes—
918C4⋊Dic73C2412yes—
919C4⋊Dic73C2411yescharacteristic
920C4⋊Dic73C2412yes—
921C4⋊Dic73C2412yes—
922C4⋊Dic73C2411yescharacteristic
923C4⋊Dic73C2411yescharacteristic
924C4⋊Dic73C2411yescharacteristic
925C4⋊Dic73C2412yes—
926C4⋊Dic73C2412yes—
927C4⋊Dic73C2414yes—
928C4⋊Dic73C2414yes—
929C4⋊Dic73C2412yes—
930C4⋊Dic73C2414yes—
931C4⋊Dic73C2414yes—
932C4⋊Dic73C2414yes—
933C4⋊Dic73C2414yes—
934C4⋊Dic73C2414yes—
935#11924007C2412yes—
936#11924007C2412yes—
937#11924007C2412yes—
938#11924007C2414yes—
939#11924007C2412yes—
940#11924007C2412yes—
941#11924007C2414yes—
942#11924007C2412yes—
943#11924007C2412yes—
944#11924007C2412yes—
945#11924007C2412yes—
946#11924007C2412yes—
947#11924007C2412yes—
948#11924007C2412yes—
949#11924007C2412yes—
950#11924007C2412yes—
951#11924007C2412yes—
952#11924007C2412yes—
953#11924007C2412yes—
954#11924007C2412yes—
955#11924007C2414yes—
956#11924007C2414yes—
957#11924007C2414yes—
958#11924007C2414yes—
959#11924007C2414yes—
960#11924007C2414yes—
961#11924007C2414yes—
962#11924007C2414yes—
963C22⋊Dic73C2412yes—
964C22⋊Dic73C2412yes—
965C22⋊Dic73C2412yes—
966C22⋊Dic73C2414yes—
967C22⋊Dic73C2412yes—
968C22⋊Dic73C2412yes—
969C22⋊Dic73C2412yes—
970C22⋊Dic73C2412yes—
971C22⋊Dic73C2412yes—
972C22⋊Dic73C2412yes—
973C22⋊Dic73C2414yes—
974C22⋊Dic73C2414yes—
975#11924005C2412yes—
976#11924005C2412yes—
977#11924005C2414yes—
978#11924005C2412yes—
979#11924005C2414yes—
980#11924005C2412yes—
981#11924005C2412yes—
982#11924005C2412yes—
983#11924005C2412yes—
984#11924005C2412yes—
985#11924005C2412yes—
986#11924005C2412yes—
987#11924005C2412yes—
988#11924005C2414yes—
989#11924005C2414yes—
990#11924005C2412yes—
991#11924005C2412yes—
992#11924005C2412yes—
993#11924005C2414yes—
994#11924005C2414yes—
995#11924005C2414yes—
996#11924005C2414yes—
997#11924005C2414yes—
998#11924005C2414yes—
999#11924005C2414yes—
1000#11924005C2414yes—
1001#11924005C2414yes—
1002#11924005C2414yes—
1003#11924005C2414yes—
1004#11924005C2414yes—
1005#11924005C2414yes—
1006#11924005C2414yes—
1007C4×Dic73C2411yescharacteristic
1008C4×Dic73C2412yes—
1009C4×Dic73C2411yescharacteristic
1010C4×Dic73C2412yes—
1011C4×Dic73C2411yescharacteristic
1012C4×Dic73C2411yescharacteristic
1013C4×Dic73C2411yescharacteristic
1014C4×Dic73C2411yescharacteristic
1015C4×Dic73C2411yescharacteristic
1016C4×Dic73C2411yescharacteristic
1017C4×Dic73C2411yescharacteristic
1018C4×Dic73C2411yescharacteristic
1019C4×Dic73C2411yescharacteristic
1020C4×Dic73C2411yescharacteristic
1021C4×Dic73C2412yes—
1022C4×Dic73C2414yes—
1023C4×Dic73C2414yes—
1024C4×Dic73C2414yes—
1025C4×Dic73C2412yes—
1026C4×Dic73C2412yes—
1027C4×Dic73C2412yes—
1028C4×Dic73C2412yes—
1029C4×Dic73C2412yes—
1030C4×Dic73C2412yes—
1031C4×Dic73C2412yes—
1032C4×Dic73C2412yes—
1033C4×Dic73C2412yes—
1034C4×Dic73C2412yes—
1035C4×Dic73C2412yes—
1036C4×Dic73C2412yes—
1037C4×Dic73C2414yes—
1038C4×Dic73C2414yes—
1039C4×Dic73C2414yes—
1040C4×Dic73C2414yes—
1041C24×C73C2412yes—
1042#41×C73—28no—
1043#41×C73—44no—
1044C2×Q8×C73—44no—
1045C2×Q8×C73C2412yes—
1046C2×Q8×C73C2411yescharacteristic
1047C2×Q8×C73C2412yes—
1048C2×Q8×C73C2414yes—
1049C2×D4×C73—24no—
1050C2×D4×C73C2412yes—
1051C2×D4×C73C2414yes—
1052C2×D4×C73C2412yes—
1053C2×D4×C73C2411yescharacteristic
1054C2×D4×C73C2411yescharacteristic
1055C2×D4×C73C2414yes—
1056C2×D4×C73C2411yescharacteristic
1057C22×C4×C73—44no—
1058C22×C4×C73C2411yescharacteristic
1059C22×C4×C73C2411yescharacteristic
1060C22×C4×C73C2411yescharacteristic
1061C22×C4×C73C2414yes—
1062C22×C4×C73C2412yes—
1063C22×C4×C73C2412yes—
1064C22×C4×C73C2412yes—
1065C22×C4×C73C2414yes—
1066C22×C4×C73C2412yes—
1067C22×C4×C73C2412yes—
1068C22×C4×C73C2414yes—
1069C22×C4×C73C2412yes—
1070C4⋊C4×C73C2411yescharacteristic
1071C4⋊C4×C73C2412yes—
1072C4⋊C4×C73C2414yes—
1073C4⋊C4×C73C2411yescharacteristic
1074C4⋊C4×C73C2412yes—
1075C4⋊C4×C73C2412yes—
1076C4⋊C4×C73C2411yescharacteristic
1077C4⋊C4×C73C2412yes—
1078C4⋊C4×C73C2414yes—
1079C4⋊C4×C73C2414yes—
1080C4⋊C4×C73C2414yes—
1081C4⋊C4×C73C2412yes—
1082C4⋊C4×C73C2411yescharacteristic
1083C4⋊C4×C73C2412yes—
1084C4⋊C4×C73C2412yes—
1085C4⋊C4×C73C2414yes—
1086C4⋊C4×C73C2412yes—
1087C4⋊C4×C73C2414yes—
1088C4⋊C4×C73C2412yes—
1089C22⋊C4×C73C2412yes—
1090C22⋊C4×C73C2412yes—
1091C22⋊C4×C73C2414yes—
1092C22⋊C4×C73C2412yes—
1093C22⋊C4×C73C2412yes—
1094C22⋊C4×C73C2412yes—
1095C22⋊C4×C73C2414yes—
1096C22⋊C4×C73C2414yes—
1097C22⋊C4×C73C2414yes—
1098C22⋊C4×C73C2412yes—
1099C22⋊C4×C73C2412yes—
1100C22⋊C4×C73C2414yes—
1101C22⋊C4×C73C2412yes—
1102C22⋊C4×C73C2414yes—
1103C22⋊C4×C73C2412yes—
1104C42×C73C2411yescharacteristic
1105C42×C73C2411yescharacteristic
1106C42×C73C2411yescharacteristic
1107C42×C73C2411yescharacteristic
1108C42×C73C2414yes—
1109C42×C73C2414yes—
1110C42×C73C2412yes—
1111C23×C73—24no—
1112C23×C73—24no—
1113C23×C73—42no—
1114C23×C73C2512yes—
1115C23×C73C2512yes—
1116C23×C73C2512yes—
1117C23×C73C2511yescharacteristic
1118C22×D73—22no—
1119C22×D73—28no—
1120C22×D73—22no—
1121C22×D73—24no—
1122C22×D73—41no—
1123C22×D73—42no—
1124C22×D73—42no—
1125C22×D73—44no—
1126C22×D73—44no—
1127C22×D73C2512yes—
1128C22×D73C2514yes—
1129C22×D73C2511yescharacteristic
1130C22×D73C2511yescharacteristic
1131Q8×C73—24no—
1132Q8×C73—22no—
1133Q8×C73—24no—
1134Q8×C73—44no—
1135D4×C73—24no—
1136D4×C73—28no—
1137D4×C73—24no—
1138D4×C73—22no—
1139D4×C73—22no—
1140D4×C73—44no—
1141D4×C73C2×#4114yes—
1142C2×C4×C73—28no—
1143C2×C4×C73—22no—
1144C2×C4×C73—22no—
1145C2×C4×C73—24no—
1146C2×C4×C73—22no—
1147C2×C4×C73—24no—
1148C2×C4×C73—24no—
1149C2×C4×C73—42no—
1150C2×C4×C73—42no—
1151C2×C4×C73—42no—
1152C2×C4×C73—44no—
1153C2×C4×C73—44no—
1154C2×C4×C73C2511yescharacteristic
1155C2×C4×C73C2512yes—
1156C2×C4×C73C2511yescharacteristic
1157C2×C4×C73C2514yes—
1158C2×C4×C73C2511yescharacteristic
1159C2×C4×C73C2511yescharacteristic
1160C2×C4×C73C2512yes—
1161C2×C4×C73C2512yes—
1162C2×C4×C73C2514yes—
1163C2×C4×C73C2512yes—
1164C2×C4×C73C2512yes—
1165C2×C4×C73C2511yescharacteristic
1166C2×C4×C73C2511yescharacteristic
1167C22⋊D73—28no—
1168C22⋊D73—24no—
1169C22⋊D73—24no—
1170C22⋊D73—28no—
1171C22⋊D73—24no—
1172C22⋊D73—28no—
1173C22⋊D73—24no—
1174C22⋊D73—42no—
1175C22⋊D73—42no—
1176C22⋊D73—44no—
1177C22⋊D73—44no—
1178C22⋊D73—44no—
1179C22⋊D73—44no—
1180C22⋊D73C2×#4118yes—
1181C2×Dic73—24no—
1182C2×Dic73—22no—
1183C2×Dic73—24no—
1184C2×Dic73—22no—
1185C2×Dic73—24no—
1186C2×Dic73—24no—
1187C2×Dic73—24no—
1188C2×Dic73—24no—
1189C2×Dic73—41no—
1190C2×Dic73—42no—
1191C2×Dic73—42no—
1192C2×Dic73—42no—
1193C2×Dic73—42no—
1194C2×Dic73—44no—
1195C2×Dic73—44no—
1196C2×Dic73C2×#4118yes—
1197C2×Dic73C2511yescharacteristic
1198C2×Dic73C2511yescharacteristic
1199C2×Dic73C2512yes—
1200C2×Dic73C2511yescharacteristic
1201C2×Dic73C2511yescharacteristic
1202C2×Dic73C2512yes—
1203C2×Dic73C2512yes—
1204C2×Dic73C2514yes—
1205C2×Dic73C2511yescharacteristic
1206C2×Dic73C2512yes—
1207C2×Dic73C2512yes—
1208C2×Dic73C2512yes—
1209C2×Dic73C2511yescharacteristic
1210C2×Dic73C2512yes—
1211D292—28no—
1212D292—24no—
1213D292—22no—
1214D292—24no—
1215D292—42no—
1216D292—44no—
1217D292—42no—
1218D292—44no—
1219C4×D73—22no—
1220C4×D73—24no—
1221C4×D73—24no—
1222C4×D73—22no—
1223C4×D73—22no—
1224C4×D73—22no—
1225C4×D73—24no—
1226C4×D73—28no—
1227C4×D73—22no—
1228C4×D73—28no—
1229C4×D73—28no—
1230C4×D73—41no—
1231C4×D73—41no—
1232C4×D73—41no—
1233C4×D73—41no—
1234C4×D73—41no—
1235C4×D73—41no—
1236C4×D73—42no—
1237C4×D73—42no—
1238C4×D73—44no—
1239C4×D73—44no—
1240C4×D73—44no—
1241C4×D73—44no—
1242C4×D73C2×#4114yes—
1243Dic146—22no—
1244Dic146—22no—
1245Dic146—28no—
1246Dic146—24no—
1247Dic146—42no—
1248Dic146—44no—
1249Dic146—42no—
1250Dic146C2×#4114yes—
1251C22×C73—21no—
1252C22×C73—22no—
1253C22×C73—21no—
1254C22×C73—22no—
1255C22×C73—22no—
1256C22×C73—22no—
1257C22×C73—22no—
1258C22×C73—22no—
1259C22×C73—22no—
1260C22×C73—22no—
1261C22×C73—48no—
1262C22×C73C22×#4114yes—
1263C22×C73#58512yes—
1264C22×C73C2611yescharacteristic
1265C2×D73—21no—
1266C2×D73—21no—
1267C2×D73—22no—
1268C2×D73—24no—
1269C2×D73—21no—
1270C2×D73—21no—
1271C2×D73—24no—
1272C2×D73—21no—
1273C2×D73—24no—
1274C2×D73—22no—
1275C2×D73—22no—
1276C2×D73—44no—
1277C2×D73—84no—
1278C2×D73—88no—
1279C2×D73C22×#4112yes—
1280C4×C73—21no—
1281C4×C73—24no—
1282C4×C73—22no—
1283C4×C73—22no—
1284C4×C73—21no—
1285C4×C73—22no—
1286C4×C73—21no—
1287C4×C73—21no—
1288C4×C73—22no—
1289C4×C73—24no—
1290C4×C73—22no—
1291C4×C73C22×#4112yes—
1292C4×C73#58512yes—
1293Dic73—22no—
1294Dic73—22no—
1295Dic73—21no—
1296Dic73—22no—
1297Dic73—21no—
1298Dic73—24no—
1299Dic73—22no—
1300Dic73—21no—
1301Dic73—21no—
1302Dic73—21no—
1303Dic73—22no—
1304Dic73—22no—
1305Dic73C22×#4114yes—
1306Dic73C22×#4112yes—
1307#62816—731nomaximal, Sylow
1308C2×C73—22no—
1309C2×C73—24no—
1310C2×C73—42no—
1311C2×C73—42no—
1312C2×C73C23×#4111yescharacteristic
1313C2×C73C2×#58511yescharacteristic
1314C2×C73C2×#58511yescharacteristic
1315D73—22no—
1316D73—41no—
1317D73—44no—
1318D73—42no—
1319#3524—732no—
1320#3523—731no—
1321#3522—731no—
1322#3521—734no—
1323#3521—732no—
1324#3520—732no—
1325#3520D7311yescharacteristic, complemented
1326#3519—732no—
1327#3519—731no—
1328#3518—731no—
1329#3517—731no—
1330#3516—732no—
1331#3515—732no—
1332#3515—731no—
1333#3514—731no—
1334#3514—732no—
1335#3513—734no—
1336#3513—732no—
1337#3480—731no—
1338#3480—732no—
1339Q8×#41—731no—
1340#3475—732no—
1341#3475—732no—
1342#3475—734no—
1343#3475—731no—
1344D4×#41—731no—
1345D4×#41—732no—
1346#3455—732no—
1347#3455—734no—
1348#3444—731no—
1349#3444—732no—
1350C2×#529—731no—
1351C2×#529—732no—
1352#3428—732no—
1353C2×C4×#41—731no—
1354C73#6281611yescharacteristic, complemented, Sylow
1355C22×#41—732no—
1356C22×#41—731no—
1357#559—732no—
1358#559—734no—
1359#559—732no—
1360#559—731no—
1361Q82—731no—
1362#557—732no—
1363#557—731no—
1364#557—731no—
1365#557—732no—
1366#556—731no—
1367#556—734no—
1368#556—734no—
1369#556—732no—
1370#556—732no—
1371#556—732no—
1372#556—732no—
1373#556C2×D7311yescharacteristic, complemented
1374#555—732no—
1375#555—734no—
1376#555—731no—
1377#555—732no—
1378#554—732no—
1379#554—734no—
1380#554—734no—
1381#554—732no—
1382#554—731no—
1383#554—732no—
1384#554—731no—
1385#554C2×D7312yescomplemented
1386#553—734no—
1387#553—734no—
1388#553—734no—
1389#553—732no—
1390#553—734no—
1391#553—732no—
1392#553—734no—
1393#553—734no—
1394#553—732no—
1395#553—732no—
1396#553—732no—
1397#553—732no—
1398#552—734no—
1399#552—734no—
1400#552—734no—
1401#552—734no—
1402#552—732no—
1403#552—732no—
1404#552—732no—
1405#552—734no—
1406#552—734no—
1407#552—732no—
1408#552—732no—
1409#552C2×D7312yescomplemented
1410#551—734no—
1411#551—734no—
1412#551—734no—
1413#551—734no—
1414#551—734no—
1415#551—734no—
1416#551—734no—
1417#551—734no—
1418#551C2×D7314yescomplemented
1419#550—732no—
1420#550—732no—
1421#550—731no—
1422#550—731no—
1423D4×Q8—732no—
1424D4×Q8—731no—
1425D4×Q8—732no—
1426D4×Q8C2×D7311yescharacteristic, complemented
1427#548—732no—
1428#548—732no—
1429#548—732no—
1430#548—732no—
1431#548—732no—
1432#548C2×D7312yescomplemented
1433#547—732no—
1434#547—734no—
1435#547—734no—
1436#547—732no—
1437#547—732no—
1438#547—732no—
1439#547C2×D7311yescharacteristic, complemented
1440#547C2×D7311yescharacteristic, complemented
1441#546—732no—
1442#546—732no—
1443#546—734no—
1444#546—732no—
1445#546—734no—
1446#546—734no—
1447#546—732no—
1448#546—734no—
1449#546—732no—
1450#546—734no—
1451#546—734no—
1452#546C2×D7312yescomplemented
1453D42—732no—
1454D42—732no—
1455D42—734no—
1456D42—731no—
1457#542—732no—
1458#542—734no—
1459#542—734no—
1460#542—732no—
1461#542—734no—
1462#542—734no—
1463#542—732no—
1464#542C2×D7312yescomplemented
1465#541—734no—
1466#541—734no—
1467#541—732no—
1468#541—732no—
1469#540—734no—
1470#540—734no—
1471#540—732no—
1472#540—732no—
1473#539—734no—
1474#539—734no—
1475#539—734no—
1476#539—734no—
1477#539—734no—
1478#539C2×D7314yescomplemented
1479#538—734no—
1480#538—734no—
1481#538—734no—
1482#538—734no—
1483#538—734no—
1484#538—734no—
1485#533—731no—
1486#533—731no—
1487#533—732no—
1488#533—732no—
1489#533—732no—
1490#533—734no—
1491#533—732no—
1492#533C2×D7311yescharacteristic, complemented
1493#532—732no—
1494#532—731no—
1495#532—731no—
1496#532—732no—
1497#532—732no—
1498#532—732no—
1499#532—734no—
1500#532—731no—
1501#529—732no—
1502#529—734no—
1503#529—734no—
1504#529—731no—
1505#529—732no—
1506#529—732no—
1507#529—734no—
1508#529—731no—
1509#529—734no—
1510#529—732no—
1511#529—734no—
1512#529—734no—
1513#529—734no—
1514#529—731no—
1515#529—732no—
1516#529—732no—
1517#529—734no—
1518#529—734no—
1519#529—732no—
1520#529—732no—
1521#529—734no—
1522#529—732no—
1523#529—732no—
1524#529—732no—
1525#529—734no—
1526#529—732no—
1527#529—732no—
1528#529—734no—
1529#529—731no—
1530#529—732no—
1531#529—731no—
1532#529—732no—
1533#529—732no—
1534#529—732no—
1535#529—731no—
1536#529—734no—
1537#529—734no—
1538#529—732no—
1539#529—731no—
1540#529C2×D7311yescharacteristic, complemented
1541C2×#126—732no—
1542C2×#126—734no—
1543C2×#125—731no—
1544C2×#125—732no—
1545C2×#124—732no—
1546C2×#124—731no—
1547#525—732no—
1548#525—734no—
1549#525—734no—
1550#525—732no—
1551#525—732no—
1552#525—732no—
1553#525—732no—
1554#525—734no—
1555#525—734no—
1556#525—732no—
1557#525C2×D7312yescomplemented
1558C2×#123—732no—
1559C2×#123—734no—
1560C2×C22⋊Q8—731no—
1561C2×C22⋊Q8C2×D7312yescomplemented
1562C2×#121—732no—
1563C2×#121—731no—
1564#520—732no—
1565#520—734no—
1566#520—732no—
1567#520—732no—
1568#520—734no—
1569#520C2×D7312yescomplemented
1570#519—732no—
1571#519—732no—
1572#518—732no—
1573#518—734no—
1574#518—732no—
1575#518—734no—
1576C4×#41—732no—
1577C4×#41—732no—
1578C4×#41—732no—
1579C4×#41—732no—
1580C4×#41—731no—
1581C4×#41—732no—
1582C4×#41—731no—
1583C4×#41—731no—
1584C4×#41—732no—
1585C4×#41—731no—
1586C4×#41—731no—
1587C4×#41—732no—
1588C4×#41—731no—
1589C4×#41—731no—
1590C4×#41—732no—
1591C4×#41—731no—
1592C4×#41—734no—
1593C4×#41—732no—
1594C4×#41—734no—
1595C4×#41—734no—
1596C4×#41—732no—
1597C4×#41—732no—
1598C2×C4×Q8—732no—
1599C2×C4×Q8—731no—
1600C2×C4×Q8—731no—
1601C2×C4×Q8—731no—
1602C2×C4×D4—731no—
1603C2×C4×D4—732no—
1604C2×C4×D4—732no—
1605C2×C4×D4—731no—
1606C2×C4×D4—732no—
1607C2×C4×D4—732no—
1608C2×C4×D4—734no—
1609C2×C4×D4C2×D7311yescharacteristic, complemented
1610C2×#117—732no—
1611C2×#117—734no—
1612C2×#117—731no—
1613C2×#117—734no—
1614C2×#117—732no—
1615C2×#117—732no—
1616C22×C42—732no—
1617C22×C42—731no—
1618C2×#41—732no—
1619C2×#41—732no—
1620C2×#41—734no—
1621C2×#41—731no—
1622C2×#41—732no—
1623C2×#41—734no—
1624C2×#41—731no—
1625C2×#41—731no—
1626C2×#41—732no—
1627C2×#41—731no—
1628C2×#41—732no—
1629C2×#41—732no—
1630C2×#41—734no—
1631C2×#41—732no—
1632C2×#41—1468no—
1633C2×#41—14616no—
1634C2×#41C22×D7312yes—
1635C2×#41C22×D7312yes—
1636C22×Q8—731no—
1637C22×Q8—732no—
1638C22×Q8—731no—
1639C22×Q8C22×D7312yes—
1640C22×D4—734no—
1641C22×D4—732no—
1642C22×D4—731no—
1643C22×D4—732no—
1644C22×D4—734no—
1645C22×D4—732no—
1646C22×D4—732no—
1647C22×D4C22×D7311yescharacteristic
1648C23×C4—732no—
1649C23×C4—731no—
1650C23×C4—731no—
1651C23×C4—732no—
1652C23×C4—734no—
1653C23×C4—732no—
1654C23×C4—731no—
1655C23×C4C22×D7312yes—
1656C4⋊Q8—732no—
1657C4⋊Q8—732no—
1658C4⋊Q8—734no—
1659C4⋊Q8—732no—
1660C4⋊Q8—732no—
1661C4⋊Q8—734no—
1662C4⋊Q8—734no—
1663C4⋊Q8—731no—
1664C4⋊Q8—732no—
1665C4⋊Q8C22×D7311yescharacteristic
1666C4⋊Q8C22×D7311yescharacteristic
1667C4⋊Q8C22×D7312yes—
1668#127—732no—
1669#127—732no—
1670#127—734no—
1671#127—731no—
1672#126—732no—
1673#126—734no—
1674#126—734no—
1675#126—734no—
1676#126—732no—
1677#126—734no—
1678#126—732no—
1679#126—734no—
1680#126—734no—
1681#126—734no—
1682#126—734no—
1683#126—734no—
1684#126—734no—
1685#126—734no—
1686#126—734no—
1687#126—734no—
1688#126—734no—
1689#126—732no—
1690#126—732no—
1691#126—732no—
1692#126—734no—
1693#126—734no—
1694#126—734no—
1695#126—734no—
1696#126—732no—
1697#126—734no—
1698#126—734no—
1699#126C22×D7312yes—
1700#126C22×D7314yes—
1701#126C22×D7314yes—
1702#125—731no—
1703#125—731no—
1704#125—732no—
1705#125—732no—
1706#125—734no—
1707#125—732no—
1708#125—734no—
1709#125—732no—
1710#125—732no—
1711#125—734no—
1712#125—734no—
1713#125—732no—
1714#125—734no—
1715#125—734no—
1716#125—734no—
1717#125—734no—
1718#125—734no—
1719#125—734no—
1720#125—732no—
1721#125—732no—
1722#125—731no—
1723#125—734no—
1724#125C22×D7311yescharacteristic
1725#125C22×D7312yes—
1726#125C22×D7314yes—
1727#124—731no—
1728#124—732no—
1729#124—734no—
1730#124—732no—
1731#124—732no—
1732#124—734no—
1733#124—732no—
1734#124—734no—
1735#124—731no—
1736#124—732no—
1737#124—732no—
1738#124—734no—
1739#124—734no—
1740#124—734no—
1741#124—734no—
1742#124—734no—
1743#124—734no—
1744#124—734no—
1745#124—731no—
1746#124—732no—
1747#124—734no—
1748#124—732no—
1749#124C22×D7311yescharacteristic
1750#124C22×D7314yes—
1751#124C22×D7312yes—
1752#123—732no—
1753#123—734no—
1754#123—732no—
1755#123—734no—
1756#123—734no—
1757#123—734no—
1758#123—734no—
1759#123—732no—
1760#123—732no—
1761#123—734no—
1762#123—734no—
1763#123—734no—
1764#123—734no—
1765#123—734no—
1766#123—734no—
1767#123—734no—
1768#123—732no—
1769#123—734no—
1770#123—734no—
1771#123—732no—
1772#123—734no—
1773#123—734no—
1774#123—734no—
1775#123—734no—
1776#123—732no—
1777#123—734no—
1778#123—734no—
1779#123—734no—
1780#123—734no—
1781#123—734no—
1782#123—734no—
1783#123—734no—
1784#123—734no—
1785#123—734no—
1786#123C22×D7312yes—
1787#123C22×D7314yes—
1788#123C22×D7314yes—
1789#123C22×D7314yes—
1790#123C22×D7314yes—
1791C22⋊Q8—731no—
1792C22⋊Q8—732no—
1793C22⋊Q8—732no—
1794C22⋊Q8—732no—
1795C22⋊Q8—734no—
1796C22⋊Q8—734no—
1797C22⋊Q8—731no—
1798C22⋊Q8—732no—
1799C22⋊Q8—732no—
1800C22⋊Q8—734no—
1801C22⋊Q8—732no—
1802C22⋊Q8—731no—
1803C22⋊Q8—732no—
1804C22⋊Q8—732no—
1805C22⋊Q8—734no—
1806C22⋊Q8—734no—
1807C22⋊Q8—732no—
1808C22⋊Q8—734no—
1809C22⋊Q8—734no—
1810C22⋊Q8—734no—
1811C22⋊Q8—734no—
1812C22⋊Q8—734no—
1813C22⋊Q8—734no—
1814C22⋊Q8—732no—
1815C22⋊Q8—734no—
1816C22⋊Q8—734no—
1817C22⋊Q8—734no—
1818C22⋊Q8—734no—
1819C22⋊Q8—734no—
1820C22⋊Q8—734no—
1821C22⋊Q8—734no—
1822C22⋊Q8C22×D7311yescharacteristic
1823C22⋊Q8C22×D7312yes—
1824C22⋊Q8C22×D7314yes—
1825C22⋊Q8C22×D7312yes—
1826C22⋊Q8C22×D7312yes—
1827C22⋊Q8C22×D7314yes—
1828C22⋊Q8C22×D7312yes—
1829C22⋊Q8C22×D7312yes—
1830C22⋊Q8C22×D7312yes—
1831C22⋊Q8C22×D7314yes—
1832C22⋊Q8C22×D7314yes—
1833#121—732no—
1834#121—731no—
1835#121—734no—
1836#121—734no—
1837#121—734no—
1838#121—734no—
1839#121—732no—
1840#121—734no—
1841#121—734no—
1842#121—734no—
1843#121—734no—
1844#121—731no—
1845#121—732no—
1846#121—734no—
1847#121—734no—
1848#121—732no—
1849#121—732no—
1850#121—732no—
1851#121—732no—
1852#121—732no—
1853#121—734no—
1854#121—734no—
1855#121—731no—
1856#121—732no—
1857#121—732no—
1858#121—732no—
1859#121—732no—
1860#121—732no—
1861#121—734no—
1862#121—732no—
1863#121—734no—
1864#121—734no—
1865#121—734no—
1866#121—734no—
1867#121—734no—
1868#121—734no—
1869#121—734no—
1870#121—734no—
1871#121C22×D7311yescharacteristic
1872#121C22×D7312yes—
1873#121C22×D7312yes—
1874#121C22×D7314yes—
1875#120—734no—
1876#120—734no—
1877#120—734no—
1878#120—734no—
1879#120—734no—
1880#120—734no—
1881#120—734no—
1882#120—734no—
1883#120C22×D7314yes—
1884C4×Q8—731no—
1885C4×Q8—732no—
1886C4×Q8—734no—
1887C4×Q8—732no—
1888C4×Q8—732no—
1889C4×Q8—734no—
1890C4×Q8—732no—
1891C4×Q8—732no—
1892C4×Q8—732no—
1893C4×Q8—731no—
1894C4×Q8—731no—
1895C4×Q8—732no—
1896C4×Q8—731no—
1897C4×Q8—731no—
1898C4×Q8—732no—
1899C4×Q8—731no—
1900C4×Q8—732no—
1901C4×Q8—734no—
1902C4×Q8—732no—
1903C4×Q8—734no—
1904C4×Q8—734no—
1905C4×Q8—732no—
1906C4×Q8—732no—
1907C4×Q8—732no—
1908C4×Q8—731no—
1909C4×Q8—732no—
1910C4×Q8—731no—
1911C4×Q8—731no—
1912C4×Q8—731no—
1913C4×Q8—732no—
1914C4×Q8—731no—
1915C4×Q8—732no—
1916C4×Q8—734no—
1917C4×Q8—732no—
1918C4×Q8—734no—
1919C4×Q8—734no—
1920C4×Q8C22×D7311yescharacteristic
1921C4×Q8C22×D7312yes—
1922C4×Q8C22×D7312yes—
1923C4×Q8C22×D7312yes—
1924C4×D4—731no—
1925C4×D4—732no—
1926C4×D4—731no—
1927C4×D4—732no—
1928C4×D4—731no—
1929C4×D4—731no—
1930C4×D4—732no—
1931C4×D4—731no—
1932C4×D4—734no—
1933C4×D4—732no—
1934C4×D4—734no—
1935C4×D4—734no—
1936C4×D4—734no—
1937C4×D4—732no—
1938C4×D4—732no—
1939C4×D4—732no—
1940C4×D4—732no—
1941C4×D4—732no—
1942C4×D4—732no—
1943C4×D4—732no—
1944C4×D4—732no—
1945C4×D4—732no—
1946C4×D4—732no—
1947C4×D4—732no—
1948C4×D4—732no—
1949C4×D4—734no—
1950C4×D4—734no—
1951C4×D4—734no—
1952C4×D4—734no—
1953C4×D4—734no—
1954C4×D4—734no—
1955C4×D4—734no—
1956C4×D4—731no—
1957C4×D4—732no—
1958C4×D4—732no—
1959C4×D4—734no—
1960C4×D4—732no—
1961C4×D4—734no—
1962C4×D4—732no—
1963C4×D4—734no—
1964C4×D4—732no—
1965C4×D4—734no—
1966C4×D4—732no—
1967C4×D4—734no—
1968C4×D4—732no—
1969C4×D4—732no—
1970C4×D4—732no—
1971C4×D4—732no—
1972C4×D4—732no—
1973C4×D4—734no—
1974C4×D4—732no—
1975C4×D4—732no—
1976C4×D4—732no—
1977C4×D4—732no—
1978C4×D4—732no—
1979C4×D4—732no—
1980C4×D4—732no—
1981C4×D4—732no—
1982C4×D4—734no—
1983C4×D4—732no—
1984C4×D4—734no—
1985C4×D4—734no—
1986C4×D4—734no—
1987C4×D4—734no—
1988C4×D4—734no—
1989C4×D4—734no—
1990C4×D4—734no—
1991C4×D4—734no—
1992C4×D4—734no—
1993C4×D4—734no—
1994C4×D4—734no—
1995C4×D4—734no—
1996C4×D4—734no—
1997C4×D4—734no—
1998C4×D4—731no—
1999C4×D4—732no—
2000C4×D4—734no—
2001C4×D4—732no—
2002C4×D4—734no—
2003C4×D4—732no—
2004C4×D4—734no—
2005C4×D4—732no—
2006C4×D4C22×D7312yes—
2007C4×D4C22×D7311yescharacteristic
2008C4×D4C22×D7311yescharacteristic
2009C4×D4C22×D7312yes—
2010C4×D4C22×D7311yescharacteristic
2011C4×D4C22×D7311yescharacteristic
2012C4×D4C22×D7312yes—
2013C4×D4C22×D7311yescharacteristic
2014C4×D4C22×D7314yes—
2015C4×D4C22×D7312yes—
2016C4×D4C22×D7314yes—
2017C4×D4C22×D7314yes—
2018#117—732no—
2019#117—734no—
2020#117—732no—
2021#117—734no—
2022#117—731no—
2023#117—732no—
2024#117—732no—
2025#117—734no—
2026#117—732no—
2027#117—731no—
2028#117—734no—
2029#117—734no—
2030#117—732no—
2031#117—732no—
2032#117—731no—
2033#117—731no—
2034#117—734no—
2035#117—734no—
2036#117—732no—
2037#117—732no—
2038#117—734no—
2039#117—734no—
2040#117—734no—
2041#117—732no—
2042#117—734no—
2043#117—734no—
2044#117—732no—
2045#117—734no—
2046#117—732no—
2047#117—732no—
2048#117—732no—
2049#117—732no—
2050#117—732no—
2051#117—732no—
2052#117—732no—
2053#117—732no—
2054#117—732no—
2055#117—734no—
2056#117—734no—
2057#117—732no—
2058#117—732no—
2059#117—734no—
2060#117—734no—
2061#117—734no—
2062#117—734no—
2063#117C22×D7312yes—
2064#117C22×D7314yes—
2065#117C22×D7312yes—
2066#117C22×D7312yes—
2067C2×C4⋊C4—732no—
2068C2×C4⋊C4—731no—
2069C2×C4⋊C4—732no—
2070C2×C4⋊C4—734no—
2071C2×C4⋊C4—732no—
2072C2×C4⋊C4—734no—
2073C2×C4⋊C4—732no—
2074C2×C4⋊C4—734no—
2075C2×C4⋊C4—732no—
2076C2×C4⋊C4—732no—
2077C2×C4⋊C4—734no—
2078C2×C4⋊C4—734no—
2079C2×C4⋊C4—731no—
2080C2×C4⋊C4—732no—
2081C2×C4⋊C4—731no—
2082C2×C4⋊C4—732no—
2083C2×C4⋊C4C22×D7311yescharacteristic
2084C2×C4⋊C4C22×D7314yes—
2085C2×C4⋊C4C22×D7312yes—
2086C2×C4⋊C4C22×D7312yes—
2087C2×C22⋊C4—732no—
2088C2×C22⋊C4—732no—
2089C2×C22⋊C4—734no—
2090C2×C22⋊C4—734no—
2091C2×C22⋊C4—734no—
2092C2×C22⋊C4—734no—
2093C2×C22⋊C4—734no—
2094C2×C22⋊C4—732no—
2095C2×C22⋊C4—732no—
2096C2×C22⋊C4—734no—
2097C2×C22⋊C4—734no—
2098C2×C22⋊C4—732no—
2099C2×C22⋊C4—732no—
2100C2×C22⋊C4—732no—
2101C2×C22⋊C4C22×D7312yes—
2102C2×C22⋊C4C22×D7314yes—
2103C2×C42—732no—
2104C2×C42—731no—
2105C2×C42—732no—
2106C2×C42—734no—
2107C2×C42—734no—
2108C2×C42—732no—
2109C2×C42—731no—
2110C2×C42—732no—
2111C2×C42—732no—
2112C2×C42—732no—
2113C2×C42—732no—
2114C2×C42—732no—
2115C2×C42—732no—
2116C2×C42—732no—
2117C2×C42—732no—
2118C2×C42—731no—
2119C2×C42—731no—
2120C2×C42—732no—
2121C2×C42—734no—
2122C2×C42—734no—
2123C2×C42—731no—
2124C2×C42—731no—
2125C2×C42—731no—
2126C2×C42—731no—
2127C2×C42—731no—
2128C2×C42—731no—
2129C2×C42—731no—
2130C2×C42C22×D7311yescharacteristic
2131C24—732no—
2132C24—734no—
2133C24—731no—
2134C24C23×D7312yes—
2135#41—28no—
2136#41—44no—
2137#41—2924no—
2138#41—2924no—
2139#41—2928no—
2140#41—2924no—
2141#41—738no—
2142#41—14616no—
2143#41—1468no—
2144#41—1468no—
2145#41—14616no—
2146#41—1464no—
2147#41—1468no—
2148#41—1468no—
2149#41—1464no—
2150#41—1464no—
2151C2×Q8—44no—
2152C2×Q8—2922no—
2153C2×Q8—732no—
2154C2×Q8—732no—
2155C2×Q8—734no—
2156C2×Q8—731no—
2157C2×Q8—732no—
2158C2×Q8—734no—
2159C2×Q8—731no—
2160C2×Q8—731no—
2161C2×Q8—1464no—
2162C2×Q8—1468no—
2163C2×Q8C23×D7311yescharacteristic
2164C2×Q8C23×D7312yes—
2165C2×Q8C23×D7312yes—
2166C2×Q8C23×D7314yes—
2167C2×D4—24no—
2168C2×D4—2924no—
2169C2×D4—2924no—
2170C2×D4—2928no—
2171C2×D4—2922no—
2172C2×D4—732no—
2173C2×D4—734no—
2174C2×D4—734no—
2175C2×D4—734no—
2176C2×D4—732no—
2177C2×D4—734no—
2178C2×D4—732no—
2179C2×D4—732no—
2180C2×D4—734no—
2181C2×D4—732no—
2182C2×D4—734no—
2183C2×D4—732no—
2184C2×D4—734no—
2185C2×D4—732no—
2186C2×D4—734no—
2187C2×D4—732no—
2188C2×D4—734no—
2189C2×D4—732no—
2190C2×D4—734no—
2191C2×D4—731no—
2192C2×D4—732no—
2193C2×D4—732no—
2194C2×D4—14616no—
2195C2×D4—1468no—
2196C2×D4—1468no—
2197C2×D4C23×D7311yescharacteristic
2198C2×D4C23×D7312yes—
2199C2×D4C23×D7314yes—
2200C2×D4C23×D7311yescharacteristic
2201C2×D4C23×D7312yes—
2202C2×D4C23×D7314yes—
2203C2×D4C23×D7311yescharacteristic
2204C22×C4—44no—
2205C22×C4—2922no—
2206C22×C4—2922no—
2207C22×C4—2924no—
2208C22×C4—732no—
2209C22×C4—732no—
2210C22×C4—731no—
2211C22×C4—732no—
2212C22×C4—732no—
2213C22×C4—734no—
2214C22×C4—734no—
2215C22×C4—731no—
2216C22×C4—731no—
2217C22×C4—731no—
2218C22×C4—731no—
2219C22×C4—731no—
2220C22×C4—731no—
2221C22×C4—732no—
2222C22×C4—732no—
2223C22×C4—734no—
2224C22×C4—734no—
2225C22×C4—734no—
2226C22×C4—734no—
2227C22×C4—732no—
2228C22×C4—731no—
2229C22×C4—731no—
2230C22×C4—731no—
2231C22×C4—732no—
2232C22×C4—732no—
2233C22×C4—732no—
2234C22×C4—732no—
2235C22×C4—732no—
2236C22×C4—732no—
2237C22×C4—731no—
2238C22×C4—731no—
2239C22×C4—731no—
2240C22×C4—734no—
2241C22×C4—731no—
2242C22×C4—731no—
2243C22×C4—732no—
2244C22×C4—734no—
2245C22×C4—732no—
2246C22×C4—734no—
2247C22×C4—732no—
2248C22×C4—14616no—
2249C22×C4—1464no—
2250C22×C4—1468no—
2251C22×C4—1468no—
2252C22×C4C23×D7311yescharacteristic
2253C22×C4C23×D7312yes—
2254C22×C4C23×D7312yes—
2255C22×C4C23×D7311yescharacteristic
2256C22×C4C23×D7311yescharacteristic
2257C22×C4C23×D7314yes—
2258C22×C4C23×D7312yes—
2259C22×C4C23×D7312yes—
2260C22×C4C23×D7312yes—
2261C22×C4C23×D7312yes—
2262C22×C4C23×D7314yes—
2263C22×C4C23×D7314yes—
2264C4⋊C4—732no—
2265C4⋊C4—732no—
2266C4⋊C4—732no—
2267C4⋊C4—732no—
2268C4⋊C4—734no—
2269C4⋊C4—732no—
2270C4⋊C4—734no—
2271C4⋊C4—732no—
2272C4⋊C4—732no—
2273C4⋊C4—734no—
2274C4⋊C4—732no—
2275C4⋊C4—732no—
2276C4⋊C4—732no—
2277C4⋊C4—732no—
2278C4⋊C4—732no—
2279C4⋊C4—732no—
2280C4⋊C4—732no—
2281C4⋊C4—732no—
2282C4⋊C4—734no—
2283C4⋊C4—732no—
2284C4⋊C4—734no—
2285C4⋊C4—732no—
2286C4⋊C4—732no—
2287C4⋊C4—734no—
2288C4⋊C4—734no—
2289C4⋊C4—734no—
2290C4⋊C4—734no—
2291C4⋊C4—734no—
2292C4⋊C4—731no—
2293C4⋊C4—732no—
2294C4⋊C4—734no—
2295C4⋊C4—732no—
2296C4⋊C4—731no—
2297C4⋊C4—732no—
2298C4⋊C4—731no—
2299C4⋊C4—732no—
2300C4⋊C4—731no—
2301C4⋊C4—732no—
2302C4⋊C4—734no—
2303C4⋊C4—732no—
2304C4⋊C4—734no—
2305C4⋊C4—732no—
2306C4⋊C4—734no—
2307C4⋊C4—734no—
2308C4⋊C4—734no—
2309C4⋊C4—734no—
2310C4⋊C4—734no—
2311C4⋊C4C23×D7312yes—
2312C4⋊C4C23×D7312yes—
2313C4⋊C4C23×D7314yes—
2314C4⋊C4C23×D7311yescharacteristic
2315C4⋊C4C23×D7311yescharacteristic
2316C4⋊C4C23×D7312yes—
2317C4⋊C4C23×D7312yes—
2318C4⋊C4C23×D7311yescharacteristic
2319C4⋊C4C23×D7312yes—
2320C4⋊C4C23×D7314yes—
2321C4⋊C4C23×D7314yes—
2322C4⋊C4C23×D7311yescharacteristic
2323C4⋊C4C23×D7312yes—
2324C4⋊C4C23×D7312yes—
2325C4⋊C4C23×D7314yes—
2326C4⋊C4C23×D7314yes—
2327C4⋊C4C23×D7314yes—
2328C4⋊C4C23×D7312yes—
2329C4⋊C4C23×D7312yes—
2330C22⋊C4—732no—
2331C22⋊C4—734no—
2332C22⋊C4—732no—
2333C22⋊C4—732no—
2334C22⋊C4—732no—
2335C22⋊C4—732no—
2336C22⋊C4—732no—
2337C22⋊C4—732no—
2338C22⋊C4—732no—
2339C22⋊C4—732no—
2340C22⋊C4—734no—
2341C22⋊C4—734no—
2342C22⋊C4—732no—
2343C22⋊C4—732no—
2344C22⋊C4—734no—
2345C22⋊C4—732no—
2346C22⋊C4—734no—
2347C22⋊C4—732no—
2348C22⋊C4—732no—
2349C22⋊C4—732no—
2350C22⋊C4—732no—
2351C22⋊C4—732no—
2352C22⋊C4—734no—
2353C22⋊C4—734no—
2354C22⋊C4—732no—
2355C22⋊C4—734no—
2356C22⋊C4—734no—
2357C22⋊C4—734no—
2358C22⋊C4—732no—
2359C22⋊C4—734no—
2360C22⋊C4—734no—
2361C22⋊C4—734no—
2362C22⋊C4—732no—
2363C22⋊C4—734no—
2364C22⋊C4—732no—
2365C22⋊C4—732no—
2366C22⋊C4—734no—
2367C22⋊C4—732no—
2368C22⋊C4—734no—
2369C22⋊C4—734no—
2370C22⋊C4—734no—
2371C22⋊C4—734no—
2372C22⋊C4—734no—
2373C22⋊C4—734no—
2374C22⋊C4C23×D7312yes—
2375C22⋊C4C23×D7312yes—
2376C22⋊C4C23×D7314yes—
2377C22⋊C4C23×D7312yes—
2378C22⋊C4C23×D7312yes—
2379C22⋊C4C23×D7312yes—
2380C22⋊C4C23×D7312yes—
2381C22⋊C4C23×D7312yes—
2382C22⋊C4C23×D7312yes—
2383C22⋊C4C23×D7312yes—
2384C22⋊C4C23×D7314yes—
2385C22⋊C4C23×D7314yes—
2386C22⋊C4C23×D7314yes—
2387C22⋊C4C23×D7314yes—
2388C22⋊C4C23×D7314yes—
2389C42—731no—
2390C42—732no—
2391C42—731no—
2392C42—731no—
2393C42—731no—
2394C42—731no—
2395C42—732no—
2396C42—731no—
2397C42—732no—
2398C42—734no—
2399C42—731no—
2400C42—732no—
2401C42—732no—
2402C42—732no—
2403C42—732no—
2404C42—731no—
2405C42—731no—
2406C42—731no—
2407C42—732no—
2408C42—732no—
2409C42—732no—
2410C42—731no—
2411C42—732no—
2412C42—732no—
2413C42—732no—
2414C42—731no—
2415C42—732no—
2416C42—734no—
2417C42—734no—
2418C42—734no—
2419C42—734no—
2420C42—734no—
2421C42—734no—
2422C42—732no—
2423C42C23×D7311yescharacteristic
2424C42C23×D7311yescharacteristic
2425C42C23×D7311yescharacteristic
2426C42C23×D7311yescharacteristic
2427C42C23×D7314yes—
2428C42C23×D7314yes—
2429C42C23×D7312yes—
2430C23—24no—
2431C23—24no—
2432C23—42no—
2433C23—2921no—
2434C23—2924no—
2435C23—2924no—
2436C23—2922no—
2437C23—2922no—
2438C23—731no—
2439C23—732no—
2440C23—734no—
2441C23—731no—
2442C23—1462no—
2443C23—1464no—
2444C23—1462no—
2445C23—1468no—
2446C23C24×D7312yes—
2447C23C24×D7312yes—
2448C23C24×D7312yes—
2449C23C24×D7311yescharacteristic
2450Q8—24no—
2451Q8—22no—
2452Q8—24no—
2453Q8—44no—
2454Q8—2922no—
2455Q8—2922no—
2456Q8—2924no—
2457Q8—734no—
2458Q8—1464no—
2459Q8—1468no—
2460Q8—1462no—
2461Q8—1462no—
2462D4—24no—
2463D4—28no—
2464D4—24no—
2465D4—22no—
2466D4—22no—
2467D4—44no—
2468D4—2924no—
2469D4—2922no—
2470D4—2924no—
2471D4—2922no—
2472D4—2922no—
2473D4—2922no—
2474D4—2924no—
2475D4—2924no—
2476D4—2924no—
2477D4—2924no—
2478D4—738no—
2479D4—1468no—
2480D4—1468no—
2481D4—1464no—
2482D4—1464no—
2483D4—1464no—
2484D4—1468no—
2485D4—1464no—
2486D4—1468no—
2487D4—1464no—
2488D4—1462no—
2489D4—1464no—
2490D4#41×D7314yes—
2491C2×C4—28no—
2492C2×C4—22no—
2493C2×C4—22no—
2494C2×C4—24no—
2495C2×C4—22no—
2496C2×C4—24no—
2497C2×C4—24no—
2498C2×C4—42no—
2499C2×C4—42no—
2500C2×C4—42no—
2501C2×C4—44no—
2502C2×C4—44no—
2503C2×C4—2921no—
2504C2×C4—2921no—
2505C2×C4—2921no—
2506C2×C4—2921no—
2507C2×C4—2921no—
2508C2×C4—2921no—
2509C2×C4—2922no—
2510C2×C4—2922no—
2511C2×C4—2924no—
2512C2×C4—2924no—
2513C2×C4—2924no—
2514C2×C4—2924no—
2515C2×C4—2921no—
2516C2×C4—2922no—
2517C2×C4—2922no—
2518C2×C4—2922no—
2519C2×C4—2922no—
2520C2×C4—2924no—
2521C2×C4—2924no—
2522C2×C4—738no—
2523C2×C4—731no—
2524C2×C4—732no—
2525C2×C4—734no—
2526C2×C4—731no—
2527C2×C4—731no—
2528C2×C4—731no—
2529C2×C4—732no—
2530C2×C4—731no—
2531C2×C4—732no—
2532C2×C4—732no—
2533C2×C4—732no—
2534C2×C4—731no—
2535C2×C4—734no—
2536C2×C4—732no—
2537C2×C4—732no—
2538C2×C4—1464no—
2539C2×C4—1468no—
2540C2×C4—1468no—
2541C2×C4—1462no—
2542C2×C4—1468no—
2543C2×C4—1464no—
2544C2×C4—1462no—
2545C2×C4—1462no—
2546C2×C4—1464no—
2547C2×C4—1464no—
2548C2×C4—1464no—
2549C2×C4—1464no—
2550C2×C4—1464no—
2551C2×C4—1462no—
2552C2×C4—1464no—
2553C2×C4—1464no—
2554C2×C4—1462no—
2555C2×C4—1462no—
2556C2×C4—1462no—
2557C2×C4C24×D7311yescharacteristic
2558C2×C4C24×D7312yes—
2559C2×C4C24×D7312yes—
2560C2×C4C24×D7312yes—
2561C2×C4C24×D7314yes—
2562C2×C4C24×D7311yescharacteristic
2563C2×C4C24×D7311yescharacteristic
2564C2×C4C24×D7314yes—
2565C2×C4C24×D7311yescharacteristic
2566C2×C4C24×D7312yes—
2567C2×C4C24×D7312yes—
2568C2×C4C24×D7311yescharacteristic
2569C2×C4C24×D7311yescharacteristic
2570C22—21no—
2571C22—22no—
2572C22—21no—
2573C22—22no—
2574C22—22no—
2575C22—22no—
2576C22—22no—
2577C22—22no—
2578C22—22no—
2579C22—22no—
2580C22—48no—
2581C22—2924no—
2582C22—5848no—
2583C22—5844no—
2584C22—732no—
2585C22—1462no—
2586C22—1461no—
2587C22—1464no—
2588C22—1464no—
2589C22—1461no—
2590C22—1462no—
2591C22—1461no—
2592C22—1464no—
2593C22—1462no—
2594C22—1461no—
2595C22—1461no—
2596C22C2×#41×D7314yes—
2597C22#1798942412yes—
2598C22C25×D7311yescharacteristic
2599C4—22no—
2600C4—21no—
2601C4—24no—
2602C4—21no—
2603C4—22no—
2604C4—22no—
2605C4—24no—
2606C4—22no—
2607C4—21no—
2608C4—21no—
2609C4—22no—
2610C4—732no—
2611C4—734no—
2612C4—1461no—
2613C4—1462no—
2614C4—1462no—
2615C4—1461no—
2616C4—1462no—
2617C4—1461no—
2618C4—1461no—
2619C4—1461no—
2620C4—1462no—
2621C4—1462no—
2622C4—1464no—
2623C4—1462no—
2624C4C2×#41×D7312yes—
2625C4#1798942212yes—
2626C2—22no—
2627C2—24no—
2628C2—42no—
2629C2—42no—
2630C2—2921no—
2631C2—2922no—
2632C2—2924no—
2633C2—1462no—
2634C2C22×#41×D7311yescharacteristic
2635C2C2×#1798942211yescharacteristic
2636C2C2×#1798942411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3520C2
hypercenter#3520D73
hypocenterC73#62816
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3520

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22624038C2semidirect
2. #22624019C2semidirect
3. #22624014C2semidirect
4. #22624001C2semidirect
5. #22623989C2semidirect
6. #22623974C2semidirect
7. #22623963C2semidirect
8. #22623951C2semidirect
9. #22623945C2semidirect
10. #22623936C2semidirect
11. #22623921C2semidirect
12. #22623906C2semidirect
13. #22623900C2semidirect
14. #22623893C2semidirect
15. #22623885C2semidirect
16. #22623872C2semidirect
17. #22623858C2semidirect
18. #22623523C2semidirect
19. #22623521C2semidirect
20. Q8×#11924027C2semidirect
21. #22623497C2semidirect
22. #22623496C2semidirect
23. #22623494C2semidirect
24. #22623486C2semidirect
25. #22623418C2semidirect
26. #22623415C2semidirect
27. #22623318C2semidirect
28. #22623317C2semidirect
29. #22623228C2semidirect
30. #22623223C2semidirect
31. C2×#17989123C2semidirect
32. #529×D73C2semidirect
33. #22623131C2semidirect
34. C2×C4×#11924027C2semidirect
35. C73×#3520C2semidirect
38. #17989322C22semidirect
39. #17989319C22semidirect
40. #17989319C22semidirect
41. #17989319C22semidirect
42. Q8×Dic146C22semidirect
43. #17989313C22semidirect
44. #17989312C22semidirect
45. #17989312C22semidirect
46. #17989312C22semidirect
47. #17989311C22semidirect
48. #17989310C22semidirect
49. #17989309C22semidirect
50. #17989309C22semidirect
51. #17989308C22semidirect
52. #17989308C22semidirect
53. #17989304C22semidirect
54. #17989303C22semidirect
55. #17989302C22semidirect
56. #17989300C22semidirect
57. #17989299C22semidirect
58. #17989295C22semidirect
59. #17989295C22semidirect
60. #17989294C22semidirect
61. #17989294C22semidirect
62. #17989294C22semidirect
63. #17989293C22semidirect
64. #17989291C22semidirect
65. #17989289C22semidirect
66. #17989289C22semidirect
67. #17989289C22semidirect
68. #17989288C22semidirect
69. #17989288C22semidirect
70. #17989286C22semidirect
71. #17989285C22semidirect
72. #17989285C22semidirect
73. #17989283C22semidirect
74. #17989283C22semidirect
75. #17989282C22semidirect
76. #17989281C22semidirect
77. #17989279C22semidirect
78. #17989279C22semidirect
79. #17989275C22semidirect
80. #17989274C22semidirect
81. #17989273C22semidirect
82. #17989272C22semidirect
83. #17989272C22semidirect
84. #17989271C22semidirect
85. #17989270C22semidirect
86. #17989270C22semidirect
87. #17989269C22semidirect
88. #17989266C22semidirect
89. #17989264C22semidirect
90. #17989264C22semidirect
91. #17989264C22semidirect
92. #17989263C22semidirect
93. #17989261C22semidirect
94. #17989260C22semidirect
95. #17989260C22semidirect
96. #17989258C22semidirect
97. #17989258C22semidirect
98. #17989256C22semidirect
99. #17989255C22semidirect
100. #17989252C22semidirect
101. Q8×C22⋊D73C22semidirect
102. #17989250C22semidirect
103. #17989248C22semidirect
104. #17989247C22semidirect
105. #17989247C22semidirect
106. #17989246C22semidirect
107. #17989245C22semidirect
108. #17989241C22semidirect
109. #17989239C22semidirect
110. #17989238C22semidirect
111. #17989236C22semidirect
112. #17989235C22semidirect
113. #17989235C22semidirect
114. #17989233C22semidirect
115. #17989232C22semidirect
116. #17989232C22semidirect
117. #17989229C22semidirect
118. #17989228C22semidirect
119. #17989227C22semidirect
120. #17989227C22semidirect
121. #17989226C22semidirect
122. #17989225C22semidirect
123. #17989225C22semidirect
124. #17989224C22semidirect
125. D4×D292C22semidirect
126. #17989221C22semidirect
127. D4×C22⋊D73C22semidirect
128. #17989219C22semidirect
129. #17989211C22semidirect
130. #17989208C22semidirect
131. #17989207C22semidirect
132. #17989207C22semidirect
133. #17989206C22semidirect
134. #17989203C22semidirect
135. #17989203C22semidirect
136. #17989197C22semidirect
137. #17989196C22semidirect
138. #17989196C22semidirect
139. #17989195C22semidirect
140. #17989190C22semidirect
141. #17989189C22semidirect
142. #17989189C22semidirect
143. #17989188C22semidirect
144. #17989184C22semidirect
145. #17989183C22semidirect
146. #17989181C22semidirect
147. #17989181C22semidirect
148. #17989178C22semidirect
149. #17989177C22semidirect
150. #17989174C22semidirect
151. #17989173C22semidirect
152. #17989171C22semidirect
153. #17989170C22semidirect
154. #17989170C22semidirect
155. #17989142C22semidirect
156. #17989142C22semidirect
157. #17989142C22semidirect
158. #17989140C22semidirect
159. #17989139C22semidirect
160. #17989139C22semidirect
161. #17989139C22semidirect
162. #17989138C22semidirect
163. #17989138C22semidirect
164. #17989137C22semidirect
165. #17989136C22semidirect
166. #17989133C22semidirect
167. #17989132C22semidirect
168. #17989132C22semidirect
169. #17989132C22semidirect
170. #17989124C22semidirect
171. #17989124C22semidirect
172. #17989124C22semidirect
175. #17989123C22semidirect
176. #17989123C22semidirect
177. #17989123C22semidirect
178. #17989123C22semidirect
179. #17989123C22semidirect
180. #17989123C22semidirect
181. #17989123C22semidirect
182. #17989123C22semidirect
183. #17989123C22semidirect
184. #17989123C22semidirect
185. #17989123C22semidirect
186. #17989123C22semidirect
187. #17989123C22semidirect
188. #17989122C22semidirect
189. #17989122C22semidirect
190. #17989122C22semidirect
191. #17989122C22semidirect
193. #17989120C22semidirect
194. #17989120C22semidirect
195. #17989120C22semidirect
196. #17989119C22semidirect
197. #17989118C22semidirect
198. #17989118C22semidirect
199. #17989117C22semidirect
200. #17989117C22semidirect
201. #17989117C22semidirect
202. #17989116C22semidirect
203. #17989116C22semidirect
204. #17989115C22semidirect
205. #17989114C22semidirect
206. #17989114C22semidirect
207. #17989114C22semidirect
208. #17989114C22semidirect
209. C2×#14556586C22semidirect
210. #126×D73C22semidirect
211. C2×#14556582C22semidirect
212. #125×D73C22semidirect
213. C2×#14556580C22semidirect
214. #124×D73C22semidirect
215. #17989100C22semidirect
216. #17989100C22semidirect
217. #17989100C22semidirect
218. #17989099C22semidirect
219. #17989098C22semidirect
220. #17989097C22semidirect
221. #17989095C22semidirect
222. #17989095C22semidirect
223. #17989093C22semidirect
224. #17989093C22semidirect
225. C2×#14556575C22semidirect
226. #123×D73C22semidirect
227. C22⋊Q8×D73C22semidirect
230. #17989070C22semidirect
231. #17989068C22semidirect
232. #17989068C22semidirect
233. #17989067C22semidirect
234. #17989067C22semidirect
235. #17989063C22semidirect
236. #17989063C22semidirect
237. #17989059C22semidirect
238. #17989059C22semidirect
239. #17989059C22semidirect
240. #17989059C22semidirect
241. #41×Dic73C22semidirect
242. C4×#11924029C22semidirect
243. C4×#11924029C22semidirect
244. C4×#11924029C22semidirect
245. #17989055C22semidirect
246. #17989055C22semidirect
250. C4×#11924027C22semidirect
251. C4×#11924027C22semidirect
252. C4×#11924027C22semidirect
253. C4×#11924027C22semidirect
254. C4×#11924027C22semidirect
255. C4×#11924027C22semidirect
256. C4×#11924027C22semidirect
257. C4×#11924027C22semidirect
258. C4×#11924027C22semidirect
259. C4×#11924027C22semidirect
260. C4×#11924027C22semidirect
261. C4×#11924027C22semidirect
262. C4×#11924027C22semidirect
263. C2×Q8×Dic73C22semidirect
264. C2×C4×Dic146C22semidirect
265. C2×#14556556C22semidirect
266. C4×Q8×D73C22semidirect
267. C2×D4×Dic73C22semidirect
268. C2×#14556553C22semidirect
269. C2×C4×C22⋊D73C22semidirect
270. C2×#14556551C22semidirect
271. C2×#14556551C22semidirect
272. C4×D4×D73C22semidirect
273. C4×D4×D73C22semidirect
274. C2×#14556549C22semidirect
275. C2×#14556549C22semidirect
276. C2×#14556549C22semidirect
277. C2×#14556547C22semidirect
278. #117×D73C22semidirect
279. #117×D73C22semidirect
280. C22×C4×Dic73C22semidirect
281. C2×C42×D73C22semidirect
282. #556×C73C22semidirect
283. #554×C73C22semidirect
284. #552×C73C22semidirect
285. #551×C73C22semidirect
286. D4×Q8×C73C22semidirect
287. #548×C73C22semidirect
288. #547×C73C22semidirect
289. #547×C73C22semidirect
290. #546×C73C22semidirect
291. #542×C73C22semidirect
292. #539×C73C22semidirect
293. #533×C73C22semidirect
294. #529×C73C22semidirect
295. #525×C73C22semidirect
296. C2×C22⋊Q8×C73C22semidirect
297. #520×C73C22semidirect
298. C2×C4×D4×C73C22semidirect
828. #11924027#41semidirect
1325. #3520D73semidirect
1354. C73#62816semidirect
1373. #556C2×D73semidirect
1385. #554C2×D73semidirect
1409. #552C2×D73semidirect
1418. #551C2×D73semidirect
1426. D4×Q8C2×D73semidirect
1432. #548C2×D73semidirect
1439. #547C2×D73semidirect
1440. #547C2×D73semidirect
1452. #546C2×D73semidirect
1464. #542C2×D73semidirect
1478. #539C2×D73semidirect
1492. #533C2×D73semidirect
1540. #529C2×D73semidirect
1557. #525C2×D73semidirect
1561. C2×C22⋊Q8C2×D73semidirect
1569. #520C2×D73semidirect
1609. C2×C4×D4C2×D73semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#226240382
#226240192
#226240142
#226240012
#226239892
#226239742
#226239632
#226239512
#226239452
#226239362
#226239212
#226239062
#226239002
#226238932
#226238852
#226238722
#226238582
#226235232
#226235212
Q8×#119240272
#226234972
#226234962
#226234942
#226234862
#226234182
#226234152
#226233182
#226233172
#226232282
#226232232
C2×#179891232
#529×D732
#226231312
C2×C4×#119240272
C73×#35202
#6281673