Finite Group Databasebeta

← #33993642

Subgroups — #33993642

Order 18688.

7280 conjugacy classes of subgroups.

The subgroup lattice has 2452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624515C212yesmaximal, complemented
2#22624507C212yesmaximal, complemented
3#22624492C212yesmaximal, complemented
4#22624480C212yesmaximal, complemented
5#22624473C212yesmaximal, complemented
6#22624458C212yesmaximal, complemented
7#22624449C212yesmaximal, complemented
8#22624443C212yesmaximal, complemented
9#22624391C212yesmaximal, complemented
10#22624363C212yesmaximal, complemented
11#22624292C212yesmaximal, complemented
12#22624257C212yesmaximal, complemented
13#22624168C212yesmaximal, complemented
14#22624148C212yesmaximal, complemented
15#22624118C212yesmaximal, complemented
16#22624110C212yesmaximal, complemented
17#22624069C214yesmaximal, complemented
18#22623533C214yesmaximal, complemented
19#22623528C212yesmaximal, complemented
20#22623417C212yesmaximal, complemented
21#41×C22⋊D73C212yesmaximal, complemented
22#41×C22⋊D73C212yesmaximal, complemented
23#22623349C214yesmaximal, complemented
24#22623338C214yesmaximal, complemented
25#22623321C211yesmaximal, characteristic, complemented
26#22623320C211yesmaximal, characteristic, complemented
27#22623258C211yesmaximal, characteristic, complemented
28#22623226C211yesmaximal, characteristic, complemented
29#532×D73C211yesmaximal, characteristic, complemented
30C2×#17989115C211yesmaximal, characteristic, complemented
31C73×#3449C211yesmaximal, characteristic, complemented
32C2×#41×D73C2212yescomplemented
33C2×#41×D73C2212yescomplemented
34#17989340C2214yescomplemented
35#17989338C2214yescomplemented
36#17989338C2214yescomplemented
37#17989334C2214yescomplemented
38#17989334C2214yescomplemented
39#17989333C2214yescomplemented
40#17989333C2214yescomplemented
41#17989332C2214yescomplemented
42#17989332C2214yescomplemented
43#17989330C2214yescomplemented
44#17989327C2214yescomplemented
45#17989326C2214yescomplemented
46#17989326C2214yescomplemented
47#17989326C2214yescomplemented
48#17989325C2214yescomplemented
49#17989325C2214yescomplemented
50#17989323C2212yescomplemented
51#17989321C2214yescomplemented
52#17989319C2212yescomplemented
53#17989319C2212yescomplemented
54#17989312C2212yescomplemented
55#17989311C2212yescomplemented
56#17989306C2212yescomplemented
57#17989306C2212yescomplemented
58#17989291C2214yescomplemented
59#17989291C2214yescomplemented
60#17989289C2214yescomplemented
61#17989282C2214yescomplemented
62#17989282C2214yescomplemented
63#17989280C2214yescomplemented
64#17989280C2214yescomplemented
65#17989280C2214yescomplemented
66#17989280C2214yescomplemented
67#17989268C2214yescomplemented
68#17989265C2214yescomplemented
69#17989264C2214yescomplemented
70#17989264C2214yescomplemented
71#17989257C2212yescomplemented
72#17989257C2212yescomplemented
73#17989256C2212yescomplemented
74#17989256C2212yescomplemented
75#17989252C2212yescomplemented
76Q8×C22⋊D73C2212yescomplemented
77Q8×C22⋊D73C2212yescomplemented
78#17989248C2212yescomplemented
79#17989248C2212yescomplemented
80#17989245C2212yescomplemented
81#17989245C2212yescomplemented
82#17989244C2212yescomplemented
83#17989244C2212yescomplemented
84#17989243C2214yescomplemented
85#17989240C2212yescomplemented
86#17989237C2214yescomplemented
87#17989236C2212yescomplemented
88#17989236C2212yescomplemented
89#17989236C2214yescomplemented
90#17989236C2214yescomplemented
91#17989231C2212yescomplemented
92#17989231C2212yescomplemented
93#17989231C2214yescomplemented
94#17989231C2214yescomplemented
95#17989230C2212yescomplemented
96#17989230C2212yescomplemented
97#17989226C2214yescomplemented
98#17989226C2214yescomplemented
99#17989226C2214yescomplemented
100#17989226C2214yescomplemented
101#17989225C2212yescomplemented
102#17989225C2214yescomplemented
103#17989225C2214yescomplemented
104#17989225C2212yescomplemented
105#17989224C2214yescomplemented
106#17989224C2214yescomplemented
107#17989222C2212yescomplemented
108#17989221C2214yescomplemented
109D4×C22⋊D73C2212yescomplemented
110D4×C22⋊D73C2212yescomplemented
111D4×C22⋊D73C2214yescomplemented
112D4×C22⋊D73C2214yescomplemented
113#17989219C2214yescomplemented
114#17989216C2214yescomplemented
115#17989212C2214yescomplemented
116#17989208C2212yescomplemented
117#17989208C2212yescomplemented
118#17989207C2214yescomplemented
119#17989207C2214yescomplemented
120#17989206C2212yescomplemented
121#17989206C2212yescomplemented
122#17989205C2214yescomplemented
123#17989205C2214yescomplemented
124#17989199C2212yescomplemented
125#17989198C2212yescomplemented
126#17989192C2212yescomplemented
127#17989191C2212yescomplemented
128#17989189C2214yescomplemented
129#17989189C2214yescomplemented
130#17989187C2214yescomplemented
131#17989187C2214yescomplemented
132#17989186C2214yescomplemented
133#17989184C2212yescomplemented
134#17989184C2212yescomplemented
135#17989183C2214yescomplemented
136#17989183C2214yescomplemented
137#17989182C2214yescomplemented
138#17989182C2212yescomplemented
139#17989182C2212yescomplemented
140#17989180C2214yescomplemented
141#17989180C2214yescomplemented
142#17989177C2214yescomplemented
143#17989175C2212yescomplemented
144#17989175C2212yescomplemented
145#17989174C2212yescomplemented
146#17989174C2212yescomplemented
147#17989174C2214yescomplemented
148#17989173C2214yescomplemented
149#17989173C2214yescomplemented
150#17989172C2214yescomplemented
151#17989172C2214yescomplemented
152#17989172C2214yescomplemented
153#17989172C2214yescomplemented
154#17989169C2214yescomplemented
155#17989169C2214yescomplemented
156#17989164C2212yescomplemented
157#17989164C2212yescomplemented
158#17989164C2214yescomplemented
159#17989162C2212yescomplemented
160#17989157C2212yescomplemented
161#17989155C2212yescomplemented
162#17989152C2214yescomplemented
163#17989152C2214yescomplemented
164#17989150C2212yescomplemented
165#17989147C2214yescomplemented
166#17989147C2214yescomplemented
167#17989145C2214yescomplemented
168#17989145C2212yescomplemented
169#17989145C2212yescomplemented
170#17989144C2211yescharacteristic, complemented
171#17989142C2211yescharacteristic, complemented
172#17989142C2211yescharacteristic, complemented
173#17989138C2211yescharacteristic, complemented
174#17989137C2211yescharacteristic, complemented
175#17989136C2212yescomplemented
176#17989135C2211yescharacteristic, complemented
177#17989135C2211yescharacteristic, complemented
178#17989135C2211yescharacteristic, complemented
179#17989134C2212yescomplemented
180#17989134C2214yescomplemented
181#17989134C2212yescomplemented
182#17989133C2212yescomplemented
183#17989133C2212yescomplemented
184#17989133C2214yescomplemented
185#17989133C2214yescomplemented
186#17989132C2212yescomplemented
187#17989132C2212yescomplemented
188C4⋊Q8×D73C2211yescharacteristic, complemented
189#127×D73C2211yescharacteristic, complemented
190#17989119C2214yescomplemented
191#17989119C2212yescomplemented
192#17989119C2212yescomplemented
193#17989118C2212yescomplemented
194#17989118C2212yescomplemented
195#17989117C2214yescomplemented
196#17989117C2214yescomplemented
197#17989117C2214yescomplemented
198#17989117C2214yescomplemented
199#17989116C2212yescomplemented
200#17989116C2212yescomplemented
201#17989115C2212yescomplemented
202#17989115C2212yescomplemented
203#17989115C2212yescomplemented
204#17989115C2212yescomplemented
205#17989115C2214yescomplemented
206#17989115C2212yescomplemented
207#17989115C2214yescomplemented
208#17989115C2212yescomplemented
209#17989115C2212yescomplemented
210#17989115C2212yescomplemented
211C2×#14556586C2211yescharacteristic, complemented
212C2×#14556584C2211yescharacteristic, complemented
213C2×#14556581C2211yescharacteristic, complemented
214C2×#14556577C2211yescharacteristic, complemented
215#124×D73C2212yescomplemented
216#17989098C2214yescomplemented
217#17989098C2214yescomplemented
218#17989098C2212yescomplemented
219#17989097C2212yescomplemented
220#17989097C2212yescomplemented
221#17989096C2214yescomplemented
222#17989096C2214yescomplemented
223#17989096C2214yescomplemented
224#17989096C2214yescomplemented
225#17989094C2214yescomplemented
226#17989094C2214yescomplemented
227#17989094C2212yescomplemented
228#17989094C2212yescomplemented
229C2×#14556576C2211yescharacteristic, complemented
230C2×#14556573C2211yescharacteristic, complemented
231C2×#14556569C2211yescharacteristic, complemented
232C2×#14556564C2211yescharacteristic
233#121×D73C2212yescomplemented
234#121×D73C2212yescomplemented
235#41×Dic73C2212yescomplemented
236#41×Dic73C2212yescomplemented
237C4×#11924028C2212yescomplemented
238C4×#11924027C2214yescomplemented
239C4×#11924027C2212yescomplemented
240C4×#11924027C2212yescomplemented
241C2×C4×Dic146C2211yescharacteristic, complemented
242C2×C4×D292C2211yescharacteristic, complemented
243C2×C4×C22⋊D73C2214yescomplemented
244C2×C4×C22⋊D73C2214yescomplemented
245C2×C4×C22⋊D73C2211yescharacteristic, complemented
246C2×C4×C22⋊D73C2211yescharacteristic, complemented
247C4×D4×D73C2212yescomplemented
248C4×D4×D73C2214yescomplemented
249C4×D4×D73C2212yescomplemented
250C2×#14556548C2211yescharacteristic, complemented
251C2×C42×D73C2211yescharacteristic, complemented
252C22×#41×C73C2212yescomplemented
253#537×C73C2212yescomplemented
254#537×C73C2212yescomplemented
255#536×C73C2212yescomplemented
256#536×C73C2212yescomplemented
257#535×C73C2212yescomplemented
258#535×C73C2212yescomplemented
259#534×C73C2212yescomplemented
260#534×C73C2212yescomplemented
261#532×C73C2211yescharacteristic, complemented
262#532×C73C2212yescomplemented
263#532×C73C2211yescharacteristic, complemented
264#525×C73C2214yescomplemented
265#525×C73C2214yescomplemented
266C2×#117×C73C2211yescharacteristic, complemented
267C2×#11924029C2312yes—
268C2×#11924029C2312yes—
269C2×#11924028C2312yes—
270C2×#11924028C2314yes—
271C2×#11924028C2314yes—
272C2×#11924027C2314yes—
273C2×#11924027C2312yes—
274C2×#11924027C2312yes—
275C2×#11924027C2312yes—
276C2×#11924027C2312yes—
277C2×#11924027C2314yes—
278C2×#11924027C2314yes—
279#41×D73—48no—
280#41×D73—48no—
281C22×Dic146C2311yescharacteristic
282C2×Q8×D73C2312yes—
283C2×Q8×D73C2312yes—
284C22×D292C2311yescharacteristic
285C22×C22⋊D73C2314yes—
286C22×C22⋊D73C2314yes—
287C22×C22⋊D73C2311yescharacteristic
288C22×C22⋊D73C2311yescharacteristic
289C2×D4×D73C2312yes—
290C2×D4×D73C2312yes—
291C2×D4×D73C2312yes—
292C2×D4×D73C2314yes—
293C2×D4×D73C2314yes—
294C2×D4×D73C2312yes—
295C2×D4×D73C2314yes—
296C22×C4×D73C2311yescharacteristic
297C22×C4×D73C2311yescharacteristic
298C22×C4×D73C2314yes—
299C22×C4×D73C2314yes—
300C22×C4×D73C2311yescharacteristic
301C22×C4×D73C2311yescharacteristic
302#14556591C2311yescharacteristic
303#14556591C2311yescharacteristic
304#14556591C2311yescharacteristic
305#14556590C2312yes—
306#14556590C2312yes—
307#14556590C2314yes—
308#14556589C2312yes—
309#14556589C2312yes—
310#14556589C2314yes—
311#14556589C2314yes—
312#14556588C2311yescharacteristic
313#14556587C2312yes—
314#14556587C2312yes—
315#14556587C2312yes—
316#14556587C2312yes—
317#14556587C2314yes—
318#14556587C2314yes—
319#14556587C2314yes—
320#14556586C2312yes—
321#14556586C2314yes—
322#14556586C2314yes—
323#14556586C2314yes—
324#14556586C2312yes—
325#14556586C2314yes—
326#14556586C2314yes—
327#14556586C2314yes—
328#14556586C2312yes—
329#14556586C2312yes—
330#14556584C2314yes—
331#14556584C2314yes—
332#14556584C2314yes—
333#14556584C2312yes—
334#14556584C2312yes—
335#14556584C2314yes—
336#14556584C2314yes—
337#14556584C2314yes—
338#14556584C2314yes—
339#14556584C2314yes—
340#14556584C2314yes—
341#14556584C2312yes—
342#14556584C2314yes—
343#14556584C2312yes—
344#14556583C2312yes—
345#14556582C2312yes—
346#14556582C2312yes—
347#14556582C2314yes—
348#14556581C2314yes—
349#14556581C2314yes—
350#14556581C2312yes—
351#14556581C2314yes—
352#14556581C2314yes—
353#14556581C2314yes—
354#14556581C2312yes—
355#14556581C2314yes—
356#14556581C2312yes—
357#14556581C2312yes—
358#14556580C2312yes—
359#14556580C2312yes—
360#14556580C2314yes—
361#14556580C2314yes—
362#14556579C2312yes—
363#14556578C2312yes—
364#14556578C2312yes—
365#14556578C2314yes—
366#14556578C2314yes—
367#14556578C2312yes—
368#14556578C2312yes—
369#14556578C2314yes—
370#14556577C2314yes—
371#14556577C2314yes—
372#14556577C2314yes—
373#14556577C2314yes—
374#14556577C2312yes—
375#14556577C2314yes—
376#14556577C2314yes—
377#14556577C2314yes—
378#14556577C2314yes—
379#14556577C2312yes—
380#14556577C2314yes—
381#14556577C2314yes—
382#14556577C2312yes—
383#14556577C2312yes—
384#14556576C2312yes—
385#14556576C2314yes—
386#14556576C2314yes—
387#14556576C2314yes—
388#14556576C2314yes—
389#14556576C2312yes—
390#14556576C2314yes—
391#14556576C2314yes—
392#14556576C2312yes—
393#14556576C2312yes—
394#14556575C2314yes—
395#14556575C2314yes—
396#14556575C2314yes—
397#14556575C2314yes—
398#14556574C2314yes—
399#14556574C2314yes—
400#14556574C2314yes—
401#14556574C2314yes—
402#14556574C2314yes—
403#14556573C2314yes—
404#14556573C2314yes—
405#14556573C2314yes—
406#14556573C2314yes—
407#14556573C2312yes—
408#14556573C2314yes—
409#14556573C2314yes—
410#14556573C2312yes—
411#14556573C2314yes—
412#14556573C2314yes—
413#14556573C2314yes—
414#14556573C2312yes—
415#14556573C2312yes—
416#14556573C2314yes—
417#14556572C2314yes—
418#14556572C2314yes—
419#14556572C2314yes—
420#14556572C2314yes—
421#14556572C2314yes—
422#14556572C2314yes—
423#14556572C2314yes—
424#14556572C2314yes—
425#14556572C2314yes—
426#14556572C2314yes—
427#14556571C2312yes—
428#14556571C2312yes—
429#14556571C2314yes—
430#14556570C2312yes—
431#14556570C2312yes—
432#14556570C2314yes—
433#14556570C2314yes—
434#14556570C2314yes—
435#14556570C2312yes—
436#14556570C2312yes—
437#14556570C2314yes—
438#14556569C2314yes—
439#14556569C2314yes—
440#14556569C2312yes—
441#14556569C2314yes—
442#14556569C2312yes—
443#14556569C2314yes—
444#14556569C2314yes—
445#14556569C2314yes—
446#14556569C2312yes—
447#14556569C2312yes—
448#14556568C2314yes—
449#14556568C2314yes—
450#14556568C2314yes—
451#14556568C2314yes—
452#14556568C2314yes—
453#14556568C2314yes—
454#14556568C2314yes—
455#14556568C2314yes—
456#14556567C2312yes—
457#14556567C2312yes—
458#14556567C2314yes—
459#14556567C2314yes—
460#14556567C2314yes—
461#14556567C2314yes—
462#14556567C2312yes—
463#14556567C2312yes—
464#14556566C2312yes—
465#14556566C2312yes—
466#14556566C2314yes—
467#14556565C2312yes—
468#14556565C2312yes—
469#14556565C2314yes—
470#14556565C2314yes—
471#14556565C2314yes—
472#14556565C2314yes—
473#14556565C2312yes—
474#14556565C2312yes—
475#14556564C2314yes—
476#14556564C2314yes—
477#14556564C2314yes—
478#14556564C2314yes—
479#14556564C2312yes—
480#14556564C2314yes—
481#14556564C2314yes—
482#14556564C2314yes—
483#14556564C2312yes—
484#14556564C2314yes—
485#14556564C2314yes—
486#14556564C2314yes—
487#14556564C2312yes—
488#14556564C2312yes—
489#14556563C2314yes—
490#14556563C2314yes—
491#14556563C2314yes—
492#14556563C2314yes—
493#14556563C2314yes—
494#14556563C2314yes—
495#14556563C2314yes—
496#14556563C2314yes—
497#14556563C2314yes—
498#14556563C2314yes—
499#14556563C2314yes—
500#14556563C2314yes—
501#14556563C2314yes—
502#14556563C2314yes—
503#14556563C2314yes—
504#14556563C2314yes—
505#14556563C2314yes—
506#14556563C2314yes—
507#14556563C2314yes—
508#14556563C2314yes—
509#14556562C2312yes—
510#14556562C2312yes—
511#14556562C2314yes—
512#14556562C2312yes—
513#14556562C2312yes—
514#14556562C2312yes—
515#14556562C2312yes—
516#14556562C2314yes—
517#14556562C2314yes—
518#14556562C2314yes—
519#14556562C2314yes—
520#14556562C2314yes—
521#14556562C2312yes—
522#14556562C2312yes—
523#14556561C2314yes—
524#14556561C2314yes—
525#14556561C2314yes—
526#14556561C2314yes—
527#14556560C2314yes—
528#14556560C2314yes—
529#14556560C2314yes—
530#14556560C2314yes—
531#14556560C2314yes—
532#14556559C2314yes—
533#14556559C2314yes—
534#14556559C2314yes—
535#14556559C2314yes—
536#14556559C2314yes—
537#14556559C2314yes—
538#14556559C2314yes—
539#14556559C2314yes—
540#14556559C2314yes—
541#14556559C2314yes—
542Q8×Dic73C2312yes—
543Q8×Dic73C2312yes—
544Q8×Dic73C2312yes—
545Q8×Dic73C2312yes—
546C4×Dic146C2312yes—
547C4×Dic146C2312yes—
548C4×Dic146C2312yes—
549C4×Dic146C2312yes—
550C4×Dic146C2312yes—
551C4×Dic146C2312yes—
552C4×Dic146C2312yes—
553C4×Dic146C2312yes—
554#14556556C2312yes—
555#14556556C2312yes—
556#14556556C2314yes—
557C4×D292C2312yes—
558C4×D292C2312yes—
559C4×D292C2312yes—
560C4×D292C2312yes—
561C4×D292C2312yes—
562C4×D292C2312yes—
563C4×D292C2312yes—
564C4×D292C2312yes—
565D4×Dic73C2312yes—
566D4×Dic73C2312yes—
567D4×Dic73C2312yes—
568D4×Dic73C2312yes—
569D4×Dic73C2312yes—
570D4×Dic73C2312yes—
571D4×Dic73C2314yes—
572D4×Dic73C2314yes—
573D4×Dic73C2314yes—
574D4×Dic73C2314yes—
575D4×Dic73C2312yes—
576D4×Dic73C2312yes—
577D4×Dic73C2314yes—
578D4×Dic73C2314yes—
579#14556553C2312yes—
580#14556553C2312yes—
581#14556553C2314yes—
582C4×C22⋊D73C2314yes—
583C4×C22⋊D73C2312yes—
584C4×C22⋊D73C2314yes—
585C4×C22⋊D73C2312yes—
586C4×C22⋊D73C2314yes—
587C4×C22⋊D73C2314yes—
588C4×C22⋊D73C2314yes—
589C4×C22⋊D73C2314yes—
590C4×C22⋊D73C2314yes—
591C4×C22⋊D73C2314yes—
592C4×C22⋊D73C2314yes—
593C4×C22⋊D73C2314yes—
594C4×C22⋊D73C2314yes—
595C4×C22⋊D73C2314yes—
596C4×C22⋊D73C2314yes—
597C4×C22⋊D73C2314yes—
598C4×C22⋊D73C2314yes—
599C4×C22⋊D73C2314yes—
600C4×C22⋊D73C2314yes—
601C4×C22⋊D73C2314yes—
602C4×C22⋊D73C2314yes—
603C4×C22⋊D73C2312yes—
604C4×C22⋊D73C2312yes—
605C4×C22⋊D73C2312yes—
606C4×C22⋊D73C2312yes—
607C4×C22⋊D73C2314yes—
608C4×C22⋊D73C2312yes—
609C4×C22⋊D73C2312yes—
610#14556551C2314yes—
611#14556551C2314yes—
612#14556551C2314yes—
613#14556551C2314yes—
614#14556551C2314yes—
615#14556551C2314yes—
616#14556551C2314yes—
617#14556551C2314yes—
618#14556550C2312yes—
619#14556550C2314yes—
620#14556550C2314yes—
621#14556549C2312yes—
622#14556549C2312yes—
623#14556549C2314yes—
624#14556548C2312yes—
625#14556548C2312yes—
626#14556548C2312yes—
627#14556548C2312yes—
628#14556548C2314yes—
629#14556547C2314yes—
630#14556547C2314yes—
631#14556547C2314yes—
632#14556547C2314yes—
633C2×C4⋊Dic73C2311yescharacteristic
634C2×C4⋊Dic73C2311yescharacteristic
635C2×#11924007C2311yescharacteristic
636C2×#11924007C2311yescharacteristic
637C2×#11924007C2314yes—
638C2×#11924007C2314yes—
639C2×#11924007C2311yescharacteristic
640C2×#11924007C2311yescharacteristic
641C2×#11924007C2311yescharacteristic
642C2×#11924007C2311yescharacteristic
643C4⋊C4×D73C2312yes—
644C4⋊C4×D73C2312yes—
645C4⋊C4×D73C2314yes—
646C2×C22⋊Dic73C2314yes—
647C2×C22⋊Dic73C2314yes—
648C2×C22⋊Dic73C2311yescharacteristic
649C2×C22⋊Dic73C2311yescharacteristic
650C2×#11924005C2311yescharacteristic
651C2×#11924005C2311yescharacteristic
652C2×#11924005C2314yes—
653C2×#11924005C2314yes—
654C2×#11924005C2311yescharacteristic
655C2×#11924005C2311yescharacteristic
656C2×#11924005C2311yescharacteristic
657C2×#11924005C2311yescharacteristic
658C22⋊C4×D73C2314yes—
659C22⋊C4×D73C2314yes—
660C22⋊C4×D73C2314yes—
661C22⋊C4×D73C2314yes—
662C2×C4×Dic73C2311yescharacteristic
663C2×C4×Dic73C2311yescharacteristic
664C2×C4×Dic73C2311yescharacteristic
665C2×C4×Dic73C2311yescharacteristic
666C2×C4×Dic73C2314yes—
667C2×C4×Dic73C2314yes—
668C42×D73C2311yescharacteristic
669C42×D73C2311yescharacteristic
670C42×D73C2311yescharacteristic
671C42×D73C2314yes—
672C42×D73C2311yescharacteristic
673C42×D73C2311yescharacteristic
674C42×D73C2311yescharacteristic
675C42×D73C2311yescharacteristic
676C42×D73C2311yescharacteristic
677C2×#41×C73—48no—
678C2×#41×C73C2312yes—
679C2×#41×C73C2312yes—
680C2×#41×C73C2314yes—
681C2×#41×C73C2314yes—
682C2×#41×C73C2312yes—
683C2×#41×C73C2312yes—
684C22×Q8×C73C2312yes—
685C22×D4×C73C2314yes—
686C22×D4×C73C2312yes—
687C23×C4×C73C2311yescharacteristic
688C23×C4×C73C2314yes—
689C4⋊Q8×C73C2311yescharacteristic
690C4⋊Q8×C73C2311yescharacteristic
691C4⋊Q8×C73C2312yes—
692#127×C73C2311yescharacteristic
693#127×C73C2311yescharacteristic
694#127×C73C2312yes—
695#124×C73C2312yes—
696#124×C73C2312yes—
697#124×C73C2312yes—
698#124×C73C2312yes—
699#123×C73C2314yes—
700#123×C73C2314yes—
701#123×C73C2314yes—
702#123×C73C2314yes—
703C22⋊Q8×C73C2314yes—
704C22⋊Q8×C73C2314yes—
705C22⋊Q8×C73C2314yes—
706C22⋊Q8×C73C2314yes—
707#121×C73C2312yes—
708#121×C73C2312yes—
709#121×C73C2312yes—
710#121×C73C2312yes—
711#121×C73C2314yes—
712#121×C73C2314yes—
713#121×C73C2314yes—
714#121×C73C2314yes—
715#121×C73C2314yes—
716#121×C73C2314yes—
717#120×C73C2314yes—
718#120×C73C2314yes—
719#120×C73C2314yes—
720#120×C73C2314yes—
721C4×D4×C73C2312yes—
722C4×D4×C73C2314yes—
723C4×D4×C73C2312yes—
724C4×D4×C73C2312yes—
725C4×D4×C73C2314yes—
726C4×D4×C73C2312yes—
727#117×C73C2312yes—
728#117×C73C2312yes—
729#117×C73C2312yes—
730#117×C73C2312yes—
731C2×C4⋊C4×C73C2311yescharacteristic
732C2×C4⋊C4×C73C2311yescharacteristic
733C2×C22⋊C4×C73C2311yescharacteristic
734C2×C22⋊C4×C73C2311yescharacteristic
735C2×C42×C73C2311yescharacteristic
736C2×C42×C73C2311yescharacteristic
737C23×D73C2411yescharacteristic
738C23×D73C2414yes—
739C23×D73C2411yescharacteristic
740C23×D73C2414yes—
741#11924029—44no—
742#11924029—44no—
743#11924028—28no—
744#11924028—48no—
745#11924028—48no—
746#11924027—44no—
747#11924027—44no—
748#11924027—48no—
749#11924027—44no—
750#11924027—44no—
751#11924027—48no—
752#11924027—48no—
753C2×Dic146—42no—
754C2×Dic146C2412yes—
755C2×Dic146C2412yes—
756C2×Dic146C2412yes—
757C2×Dic146C2412yes—
758C2×Dic146C2412yes—
759C2×Dic146C2414yes—
760C2×Dic146C2414yes—
761Q8×D73—44no—
762Q8×D73—44no—
763C2×D292—42no—
764C2×D292C2412yes—
765C2×D292C2412yes—
766C2×D292C2412yes—
767C2×D292C2412yes—
768C2×D292C2412yes—
769C2×D292C2414yes—
770C2×D292C2414yes—
771C2×C22⋊D73—42no—
772C2×C22⋊D73—48no—
773C2×C22⋊D73—48no—
774C2×C22⋊D73—42no—
775C2×C22⋊D73C2414yes—
776C2×C22⋊D73C2414yes—
777C2×C22⋊D73C2412yes—
778C2×C22⋊D73C2412yes—
779C2×C22⋊D73C2414yes—
780C2×C22⋊D73C2414yes—
781C2×C22⋊D73C2414yes—
782C2×C22⋊D73C2414yes—
783C2×C22⋊D73C2414yes—
784C2×C22⋊D73C2412yes—
785C2×C22⋊D73C2414yes—
786C2×C22⋊D73C2414yes—
787C2×C22⋊D73C2414yes—
788C2×C22⋊D73C2414yes—
789C2×C22⋊D73C2412yes—
790C2×C22⋊D73C2414yes—
791C2×C22⋊D73C2414yes—
792C2×C22⋊D73C2414yes—
793C2×C22⋊D73C2414yes—
794D4×D73—44no—
795D4×D73—44no—
796D4×D73—44no—
797D4×D73—44no—
798D4×D73—48no—
799D4×D73—48no—
800D4×D73—48no—
801C22×Dic73C2411yescharacteristic
802C22×Dic73C2411yescharacteristic
803C22×Dic73C2414yes—
804C22×Dic73C2411yescharacteristic
805C22×Dic73C2411yescharacteristic
806C22×Dic73C2411yescharacteristic
807C22×Dic73C2414yes—
808C22×Dic73C2414yes—
809C22×Dic73C2411yescharacteristic
810C22×Dic73C2414yes—
811C22×Dic73C2414yes—
812C22×Dic73C2414yes—
813C2×C4×D73—24no—
814C2×C4×D73—24no—
815C2×C4×D73—42no—
816C2×C4×D73—48no—
817C2×C4×D73—48no—
818C2×C4×D73—42no—
819C2×C4×D73C2411yescharacteristic
820C2×C4×D73C2411yescharacteristic
821C2×C4×D73C2411yescharacteristic
822C2×C4×D73C2411yescharacteristic
823C2×C4×D73C2411yescharacteristic
824C2×C4×D73C2411yescharacteristic
825C2×C4×D73C2411yescharacteristic
826C2×C4×D73C2411yescharacteristic
827C2×C4×D73C2414yes—
828C2×C4×D73C2412yes—
829C2×C4×D73C2412yes—
830C2×C4×D73C2411yescharacteristic
831C2×C4×D73C2411yescharacteristic
832C2×C4×D73C2411yescharacteristic
833C2×C4×D73C2411yescharacteristic
834C2×C4×D73C2414yes—
835C2×C4×D73C2414yes—
836C2×C4×D73C2414yes—
837C2×C4×D73C2414yes—
838C2×C4×D73C2414yes—
839C2×C4×D73C2414yes—
840C4⋊Dic73C2412yes—
841C4⋊Dic73C2412yes—
842C4⋊Dic73C2412yes—
843C4⋊Dic73C2412yes—
844C4⋊Dic73C2412yes—
845C4⋊Dic73C2412yes—
846C4⋊Dic73C2412yes—
847C4⋊Dic73C2412yes—
848C4⋊Dic73C2412yes—
849C4⋊Dic73C2412yes—
850C4⋊Dic73C2414yes—
851C4⋊Dic73C2414yes—
852C4⋊Dic73C2414yes—
853C4⋊Dic73C2414yes—
854#11924007C2414yes—
855#11924007C2414yes—
856#11924007C2414yes—
857#11924007C2414yes—
858#11924007C2412yes—
859#11924007C2412yes—
860#11924007C2412yes—
861#11924007C2412yes—
862#11924007C2412yes—
863#11924007C2412yes—
864#11924007C2412yes—
865#11924007C2412yes—
866#11924007C2414yes—
867#11924007C2412yes—
868#11924007C2414yes—
869#11924007C2414yes—
870#11924007C2414yes—
871#11924007C2412yes—
872#11924007C2412yes—
873#11924007C2412yes—
874#11924007C2414yes—
875#11924007C2414yes—
876#11924007C2414yes—
877#11924007C2414yes—
878#11924007C2414yes—
879#11924007C2414yes—
880C22⋊Dic73C2414yes—
881C22⋊Dic73C2414yes—
882C22⋊Dic73C2414yes—
883C22⋊Dic73C2414yes—
884C22⋊Dic73C2412yes—
885C22⋊Dic73C2412yes—
886C22⋊Dic73C2414yes—
887C22⋊Dic73C2414yes—
888C22⋊Dic73C2412yes—
889C22⋊Dic73C2414yes—
890C22⋊Dic73C2414yes—
891C22⋊Dic73C2412yes—
892C22⋊Dic73C2414yes—
893C22⋊Dic73C2414yes—
894C22⋊Dic73C2414yes—
895C22⋊Dic73C2414yes—
896C22⋊Dic73C2414yes—
897C22⋊Dic73C2414yes—
898C22⋊Dic73C2414yes—
899#11924005C2412yes—
900#11924005C2412yes—
901#11924005C2414yes—
902#11924005C2414yes—
903#11924005C2414yes—
904#11924005C2414yes—
905#11924005C2414yes—
906#11924005C2414yes—
907#11924005C2412yes—
908#11924005C2412yes—
909#11924005C2412yes—
910#11924005C2412yes—
911#11924005C2412yes—
912#11924005C2412yes—
913#11924005C2414yes—
914#11924005C2412yes—
915#11924005C2414yes—
916#11924005C2414yes—
917#11924005C2414yes—
918#11924005C2412yes—
919#11924005C2412yes—
920#11924005C2412yes—
921#11924005C2414yes—
922#11924005C2414yes—
923#11924005C2414yes—
924#11924005C2414yes—
925C4×Dic73C2411yescharacteristic
926C4×Dic73C2411yescharacteristic
927C4×Dic73C2411yescharacteristic
928C4×Dic73C2411yescharacteristic
929C4×Dic73C2411yescharacteristic
930C4×Dic73C2411yescharacteristic
931C4×Dic73C2411yescharacteristic
932C4×Dic73C2411yescharacteristic
933C4×Dic73C2411yescharacteristic
934C4×Dic73C2411yescharacteristic
935C4×Dic73C2411yescharacteristic
936C4×Dic73C2411yescharacteristic
937C4×Dic73C2414yes—
938C4×Dic73C2414yes—
939C4×Dic73C2414yes—
940C4×Dic73C2412yes—
941C4×Dic73C2414yes—
942C4×Dic73C2414yes—
943C4×Dic73C2414yes—
944C4×Dic73C2412yes—
945C4×Dic73C2414yes—
946C24×C73C2411yescharacteristic
947C24×C73C2414yes—
948#41×C73—28no—
949#41×C73—28no—
950#41×C73—48no—
951#41×C73—48no—
952#41×C73—44no—
953#41×C73—44no—
954C2×Q8×C73—44no—
955C2×Q8×C73C2412yes—
956C2×Q8×C73C2412yes—
957C2×Q8×C73C2414yes—
958C2×D4×C73—44no—
959C2×D4×C73—48no—
960C2×D4×C73C2414yes—
961C2×D4×C73C2414yes—
962C2×D4×C73C2412yes—
963C2×D4×C73C2412yes—
964C2×D4×C73C2412yes—
965C2×D4×C73C2414yes—
966C2×D4×C73C2412yes—
967C2×D4×C73C2412yes—
968C2×D4×C73C2414yes—
969C2×D4×C73C2412yes—
970C2×D4×C73C2414yes—
971C2×D4×C73C2414yes—
972C2×D4×C73C2414yes—
973C22×C4×C73—24no—
974C22×C4×C73—48no—
975C22×C4×C73C2411yescharacteristic
976C22×C4×C73C2412yes—
977C22×C4×C73C2412yes—
978C22×C4×C73C2414yes—
979C22×C4×C73C2414yes—
980C22×C4×C73C2411yescharacteristic
981C22×C4×C73C2411yescharacteristic
982C22×C4×C73C2411yescharacteristic
983C22×C4×C73C2411yescharacteristic
984C22×C4×C73C2414yes—
985C22×C4×C73C2414yes—
986C22×C4×C73C2414yes—
987C22×C4×C73C2411yescharacteristic
988C4⋊C4×C73C2412yes—
989C4⋊C4×C73C2412yes—
990C4⋊C4×C73C2412yes—
991C4⋊C4×C73C2412yes—
992C4⋊C4×C73C2412yes—
993C4⋊C4×C73C2412yes—
994C4⋊C4×C73C2414yes—
995C4⋊C4×C73C2412yes—
996C4⋊C4×C73C2412yes—
997C4⋊C4×C73C2414yes—
998C22⋊C4×C73C2412yes—
999C22⋊C4×C73C2412yes—
1000C22⋊C4×C73C2412yes—
1001C22⋊C4×C73C2412yes—
1002C22⋊C4×C73C2414yes—
1003C22⋊C4×C73C2414yes—
1004C22⋊C4×C73C2414yes—
1005C22⋊C4×C73C2414yes—
1006C22⋊C4×C73C2414yes—
1007C22⋊C4×C73C2414yes—
1008C22⋊C4×C73C2414yes—
1009C22⋊C4×C73C2414yes—
1010C42×C73C2411yescharacteristic
1011C42×C73C2411yescharacteristic
1012C42×C73C2412yes—
1013C42×C73C2411yescharacteristic
1014C42×C73C2411yescharacteristic
1015C42×C73C2412yes—
1016C23×C73—22no—
1017C23×C73—44no—
1018C23×C73—41no—
1019C23×C73—41no—
1020C23×C73—44no—
1021C23×C73—44no—
1022C23×C73C2512yes—
1023C23×C73C2514yes—
1024C23×C73C2514yes—
1025C23×C73C2511yescharacteristic
1026C22×D73—22no—
1027C22×D73—22no—
1028C22×D73—22no—
1029C22×D73—28no—
1030C22×D73—41no—
1031C22×D73—44no—
1032C22×D73—44no—
1033C22×D73—44no—
1034C22×D73—44no—
1035C22×D73—44no—
1036C22×D73—41no—
1037C22×D73—41no—
1038C22×D73C2512yes—
1039C22×D73C2514yes—
1040C22×D73C2511yescharacteristic
1041C22×D73C2511yescharacteristic
1042Q8×C73—24no—
1043Q8×C73—24no—
1044Q8×C73—44no—
1045D4×C73—28no—
1046D4×C73—28no—
1047D4×C73—24no—
1048D4×C73—24no—
1049D4×C73—44no—
1050D4×C73—44no—
1051D4×C73—44no—
1052D4×C73—42no—
1053D4×C73—42no—
1054D4×C73—44no—
1055D4×C73—44no—
1056D4×C73—42no—
1057D4×C73—42no—
1058C2×C4×C73—22no—
1059C2×C4×C73—24no—
1060C2×C4×C73—24no—
1061C2×C4×C73—28no—
1062C2×C4×C73—28no—
1063C2×C4×C73—44no—
1064C2×C4×C73—44no—
1065C2×C4×C73—44no—
1066C2×C4×C73—41no—
1067C2×C4×C73—41no—
1068C2×C4×C73—41no—
1069C2×C4×C73—41no—
1070C2×C4×C73H(5,𝔽2)14yes—
1071C2×C4×C73C2512yes—
1072C2×C4×C73C2511yescharacteristic
1073C2×C4×C73C2511yescharacteristic
1074C2×C4×C73C2511yescharacteristic
1075C2×C4×C73C2511yescharacteristic
1076C2×C4×C73C2512yes—
1077C2×C4×C73C2514yes—
1078C2×C4×C73C2514yes—
1079C2×C4×C73C2512yes—
1080C2×C4×C73C2511yescharacteristic
1081C2×C4×C73C2511yescharacteristic
1082C22⋊D73—28no—
1083C22⋊D73—28no—
1084C22⋊D73—24no—
1085C22⋊D73—28no—
1086C22⋊D73—24no—
1087C22⋊D73—44no—
1088C22⋊D73—44no—
1089C22⋊D73—44no—
1090C22⋊D73—44no—
1091C22⋊D73—44no—
1092C22⋊D73—44no—
1093C22⋊D73—42no—
1094C22⋊D73—44no—
1095C22⋊D73—44no—
1096C22⋊D73—44no—
1097C22⋊D73—42no—
1098C22⋊D73—44no—
1099C22⋊D73—44no—
1100C22⋊D73—44no—
1101C2×Dic73—22no—
1102C2×Dic73—22no—
1103C2×Dic73—22no—
1104C2×Dic73—28no—
1105C2×Dic73—41no—
1106C2×Dic73—44no—
1107C2×Dic73—44no—
1108C2×Dic73—44no—
1109C2×Dic73—41no—
1110C2×Dic73—41no—
1111C2×Dic73—44no—
1112C2×Dic73—44no—
1113C2×Dic73C2511yescharacteristic
1114C2×Dic73C2512yes—
1115C2×Dic73C2511yescharacteristic
1116C2×Dic73C2514yes—
1117C2×Dic73C2514yes—
1118C2×Dic73C2512yes—
1119C2×Dic73C2511yescharacteristic
1120C2×Dic73C2511yescharacteristic
1121C2×Dic73C2511yescharacteristic
1122C2×Dic73C2514yes—
1123C2×Dic73C2512yes—
1124C2×Dic73C2511yescharacteristic
1125D292—24no—
1126D292—24no—
1127D292—42no—
1128D292—42no—
1129D292—44no—
1130D292—44no—
1131D292—42no—
1132C4×D73—22no—
1133C4×D73—22no—
1134C4×D73—22no—
1135C4×D73—24no—
1136C4×D73—22no—
1137C4×D73—24no—
1138C4×D73—22no—
1139C4×D73—22no—
1140C4×D73—28no—
1141C4×D73—22no—
1142C4×D73—22no—
1143C4×D73—41no—
1144C4×D73—41no—
1145C4×D73—41no—
1146C4×D73—41no—
1147C4×D73—44no—
1148C4×D73—44no—
1149C4×D73—44no—
1150C4×D73—44no—
1151C4×D73—44no—
1152C4×D73—44no—
1153Dic146—24no—
1154Dic146—24no—
1155Dic146—44no—
1156Dic146—44no—
1157Dic146—42no—
1158Dic146—42no—
1159Dic146—42no—
1160C22×C73—21no—
1161C22×C73—21no—
1162C22×C73—24no—
1163C22×C73—24no—
1164C22×C73—22no—
1165C22×C73—24no—
1166C22×C73—24no—
1167C22×C73—24no—
1168C22×C73—24no—
1169C22×C73—22no—
1170C22×C73—22no—
1171C22×C73—82no—
1172C22×C73—88no—
1173C22×C73C2×H(5,𝔽2)12yes—
1174C22×C73C2611yescharacteristic
1175C2×D73—21no—
1176C2×D73—21no—
1177C2×D73—22no—
1178C2×D73—21no—
1179C2×D73—24no—
1180C2×D73—21no—
1181C2×D73—21no—
1182C2×D73—24no—
1183C2×D73—24no—
1184C2×D73—22no—
1185C2×D73—22no—
1186C2×D73—44no—
1187C2×D73—88no—
1188C2×D73—82no—
1189C2×D73—88no—
1190C2×D73#58512yes—
1191C4×C73—24no—
1192C4×C73—24no—
1193C4×C73—22no—
1194C4×C73—22no—
1195C4×C73—21no—
1196C4×C73—21no—
1197C4×C73—21no—
1198C4×C73—21no—
1199C4×C73—22no—
1200C4×C73C2×H(5,𝔽2)12yes—
1201C4×C73C2×H(5,𝔽2)12yes—
1202Dic73—24no—
1203Dic73—21no—
1204Dic73—22no—
1205Dic73—21no—
1206Dic73—22no—
1207Dic73—21no—
1208Dic73—24no—
1209Dic73—24no—
1210Dic73—21no—
1211Dic73—21no—
1212Dic73—22no—
1213Dic73#58512yes—
1214#62748—731nomaximal, Sylow
1215C2×C73—22no—
1216C2×C73—44no—
1217C2×C73—44no—
1218C2×C73—42no—
1219C2×C73C22×H(5,𝔽2)11yescharacteristic
1220C2×C73C2×#58511yescharacteristic
1221C2×C73C2×#58511yescharacteristic
1222D73—22no—
1223D73—41no—
1224D73—44no—
1225D73—42no—
1226#3562—732no—
1227#3562—732no—
1228#3561—732no—
1229#3560—732no—
1230#3560—732no—
1231#3559—732no—
1232#3558—732no—
1233#3558—732no—
1234#3554—732no—
1235#3552—732no—
1236#3546—732no—
1237#3543—732no—
1238#3537—732no—
1239#3536—732no—
1240#3534—732no—
1241#3534—732no—
1242#3529—734no—
1243#3481—734no—
1244#3480—732no—
1245D4×#41—732no—
1246D4×#41—732no—
1247D4×#41—732no—
1248#3460—734no—
1249#3459—734no—
1250#3455—731no—
1251#3455—731no—
1252#3449—731no—
1253#3449D7311yescharacteristic, complemented
1254#3444—731no—
1255C2×#532—731no—
1256C2×#529—731no—
1257C73#6274811yescharacteristic, complemented, Sylow
1258C22×#41—732no—
1259C22×#41—732no—
1260C22×#41C2×D7312yescomplemented
1261#563—734no—
1262#563—734no—
1263#563—734no—
1264#562—734no—
1265#562—734no—
1266#562—734no—
1267#562—734no—
1268#562—734no—
1269#562—734no—
1270H(3,𝔽4)—734no—
1271#560—734no—
1272#560—734no—
1273#560—734no—
1274#560—734no—
1275#560—734no—
1276#560—734no—
1277#559—732no—
1278#559—732no—
1279#559—732no—
1280#559—734no—
1281#557—732no—
1282#556—732no—
1283#556—732no—
1284#556—732no—
1285#554—734no—
1286#554—734no—
1287#553—734no—
1288#553—734no—
1289#553—734no—
1290#553—734no—
1291#553—734no—
1292#553—734no—
1293#553—734no—
1294#551—734no—
1295#551—734no—
1296#551—734no—
1297#551—734no—
1298#550—732no—
1299#550—732no—
1300#550—732no—
1301#550—732no—
1302D4×Q8—732no—
1303D4×Q8—732no—
1304D4×Q8—732no—
1305#548—732no—
1306#548—732no—
1307#548—732no—
1308#548—732no—
1309#548—732no—
1310#548—732no—
1311#548—734no—
1312#547—734no—
1313#547—732no—
1314#547—732no—
1315#547—734no—
1316#547—732no—
1317#547—734no—
1318#546—734no—
1319#546—734no—
1320#546—732no—
1321#546—732no—
1322#546—734no—
1323#546—732no—
1324#546—734no—
1325#546—732no—
1326#546—732no—
1327#546—732no—
1328#546—734no—
1329#546—734no—
1330#546—734no—
1331#546—734no—
1332#546—734no—
1333#546—734no—
1334D42—734no—
1335D42—734no—
1336D42—732no—
1337D42—732no—
1338D42—732no—
1339D42—734no—
1340D42—734no—
1341#544—734no—
1342#543—734no—
1343#542—732no—
1344#542—732no—
1345#542—734no—
1346#542—734no—
1347#542—734no—
1348#542—734no—
1349#542—732no—
1350#542—732no—
1351#541—732no—
1352#541—732no—
1353#540—732no—
1354#540—734no—
1355#540—734no—
1356#540—734no—
1357#540—734no—
1358#540—732no—
1359#539—734no—
1360#539—734no—
1361#539—734no—
1362#539—734no—
1363#539—734no—
1364#539—732no—
1365#539—732no—
1366#539—734no—
1367#539—732no—
1368#539—732no—
1369#538—734no—
1370#538—734no—
1371#538—734no—
1372#538—734no—
1373#538—734no—
1374#538—732no—
1375#538—732no—
1376#538—734no—
1377#538—734no—
1378#538—734no—
1379#538—734no—
1380#538—734no—
1381#538—732no—
1382#538—732no—
1383#537—732no—
1384#537—732no—
1385#537—734no—
1386#537C2×D7312yescomplemented
1387#537C2×D7312yescomplemented
1388#536—732no—
1389#536—732no—
1390#536C2×D7312yescomplemented
1391#536C2×D7312yescomplemented
1392#535—732no—
1393#535—732no—
1394#535—734no—
1395#535—734no—
1396#535C2×D7312yescomplemented
1397#535C2×D7312yescomplemented
1398#534—732no—
1399#534—732no—
1400#534—734no—
1401#534—734no—
1402#534—734no—
1403#534C2×D7312yescomplemented
1404#534C2×D7312yescomplemented
1405#533—731no—
1406#533—731no—
1407#533—731no—
1408#532—732no—
1409#532—732no—
1410#532—734no—
1411#532—734no—
1412#532—731no—
1413#532—731no—
1414#532—731no—
1415#532—731no—
1416#532—732no—
1417#532—732no—
1418#532—732no—
1419#532—732no—
1420#532—732no—
1421#532—734no—
1422#532—731no—
1423#532C2×D7311yescharacteristic, complemented
1424#532C2×D7311yescharacteristic, complemented
1425#532C2×D7312yescomplemented
1426C2×C4⋊Q8—731no—
1427C2×#127—731no—
1428#529—732no—
1429#529—732no—
1430#529—732no—
1431#529—732no—
1432#529—732no—
1433#529—732no—
1434#529—734no—
1435#529—734no—
1436#529—734no—
1437#529—734no—
1438#529—734no—
1439#529—732no—
1440#529—732no—
1441#529—732no—
1442#529—732no—
1443#529—732no—
1444#529—732no—
1445#529—732no—
1446#529—732no—
1447#529—734no—
1448#529—734no—
1449C2×#126—731no—
1450C2×#126—731no—
1451C2×#125—731no—
1452C2×#124—732no—
1453C2×#124—731no—
1454#525—732no—
1455#525—732no—
1456#525—734no—
1457#525—734no—
1458#525—732no—
1459#525—734no—
1460#525—734no—
1461#525—732no—
1462#525—732no—
1463#525—734no—
1464#525—734no—
1465#525—734no—
1466#525—734no—
1467#525C2×D7314yescomplemented
1468#525C2×D7314yescomplemented
1469C2×#123—731no—
1470C2×#123—731no—
1471C2×C22⋊Q8—731no—
1472C2×#121—732no—
1473C2×#121—732no—
1474C2×#121—731no—
1475C4×#41—732no—
1476C4×#41—732no—
1477C4×#41—732no—
1478C4×#41—732no—
1479C4×#41—734no—
1480C4×#41—732no—
1481C2×C4×Q8—731no—
1482C2×C4×D4—731no—
1483C2×C4×D4—731no—
1484C2×C4×D4—734no—
1485C2×C4×D4—734no—
1486C2×C4×D4—732no—
1487C2×C4×D4—732no—
1488C2×C4×D4—734no—
1489C2×C4×D4—731no—
1490C2×#117—731no—
1491C2×#117C2×D7311yescharacteristic, complemented
1492C22×C42—731no—
1493C2×#41—48no—
1494C2×#41—2928no—
1495C2×#41—2928no—
1496C2×#41—732no—
1497C2×#41—732no—
1498C2×#41—732no—
1499C2×#41—732no—
1500C2×#41—734no—
1501C2×#41—734no—
1502C2×#41—732no—
1503C2×#41—732no—
1504C2×#41—734no—
1505C2×#41—734no—
1506C2×#41—734no—
1507C2×#41—732no—
1508C2×#41C22×D7312yes—
1509C2×#41C22×D7312yes—
1510C2×#41C22×D7314yes—
1511C2×#41C22×D7312yes—
1512C2×#41C22×D7312yes—
1513C2×#41C22×D7314yes—
1514C22×Q8—732no—
1515C22×Q8—732no—
1516C22×Q8—731no—
1517C22×Q8C22×D7312yes—
1518C22×D4—731no—
1519C22×D4—731no—
1520C22×D4—734no—
1521C22×D4—734no—
1522C22×D4—732no—
1523C22×D4—732no—
1524C22×D4—734no—
1525C22×D4—734no—
1526C22×D4—732no—
1527C22×D4—734no—
1528C22×D4—732no—
1529C22×D4—731no—
1530C22×D4C22×D7314yes—
1531C22×D4C22×D7312yes—
1532C23×C4—734no—
1533C23×C4—734no—
1534C23×C4—731no—
1535C23×C4—731no—
1536C23×C4—731no—
1537C23×C4—731no—
1538C23×C4C22×D7311yescharacteristic
1539C23×C4C22×D7314yes—
1540C4⋊Q8—732no—
1541C4⋊Q8—732no—
1542C4⋊Q8—734no—
1543C4⋊Q8—734no—
1544C4⋊Q8—732no—
1545C4⋊Q8—732no—
1546C4⋊Q8—734no—
1547C4⋊Q8—731no—
1548C4⋊Q8—731no—
1549C4⋊Q8—731no—
1550C4⋊Q8C22×D7311yescharacteristic
1551C4⋊Q8C22×D7311yescharacteristic
1552C4⋊Q8C22×D7312yes—
1553#127—732no—
1554#127—732no—
1555#127—732no—
1556#127—732no—
1557#127—734no—
1558#127—734no—
1559#127—734no—
1560#127—731no—
1561#127C22×D7311yescharacteristic
1562#127C22×D7311yescharacteristic
1563#127C22×D7312yes—
1564#126—732no—
1565#126—732no—
1566#126—732no—
1567#126—732no—
1568#126—734no—
1569#126—734no—
1570#126—734no—
1571#126—734no—
1572#126—734no—
1573#126—734no—
1574#126—732no—
1575#126—732no—
1576#126—732no—
1577#126—732no—
1578#126—734no—
1579#126—734no—
1580#126—734no—
1581#126—734no—
1582#126—734no—
1583#126—734no—
1584#126—734no—
1585#126—734no—
1586#126—734no—
1587#126—734no—
1588#125—732no—
1589#125—732no—
1590#125—732no—
1591#125—732no—
1592#125—732no—
1593#125—732no—
1594#125—734no—
1595#125—734no—
1596#125—734no—
1597#125—734no—
1598#125—734no—
1599#125—734no—
1600#125—734no—
1601#125—732no—
1602#124—732no—
1603#124—732no—
1604#124—734no—
1605#124—734no—
1606#124—732no—
1607#124—732no—
1608#124—732no—
1609#124—734no—
1610#124—732no—
1611#124—734no—
1612#124—734no—
1613#124—732no—
1614#124—732no—
1615#124—732no—
1616#124—732no—
1617#124—734no—
1618#124—734no—
1619#124—734no—
1620#124—734no—
1621#124—734no—
1622#124—734no—
1623#124—734no—
1624#124—734no—
1625#124—734no—
1626#124—734no—
1627#124—732no—
1628#124C22×D7312yes—
1629#124C22×D7312yes—
1630#124C22×D7312yes—
1631#124C22×D7312yes—
1632#123—734no—
1633#123—734no—
1634#123—734no—
1635#123—734no—
1636#123—734no—
1637#123—734no—
1638#123—734no—
1639#123—734no—
1640#123—734no—
1641#123—734no—
1642#123—734no—
1643#123—734no—
1644#123—734no—
1645#123—734no—
1646#123—734no—
1647#123—732no—
1648#123—732no—
1649#123—732no—
1650#123—732no—
1651#123—734no—
1652#123—734no—
1653#123—734no—
1654#123—734no—
1655#123—734no—
1656#123—734no—
1657#123—732no—
1658#123—732no—
1659#123—732no—
1660#123—732no—
1661#123—734no—
1662#123—734no—
1663#123—734no—
1664#123—734no—
1665#123—734no—
1666#123—734no—
1667#123—734no—
1668#123—734no—
1669#123—734no—
1670#123—734no—
1671#123—734no—
1672#123—734no—
1673#123—734no—
1674#123—734no—
1675#123C22×D7314yes—
1676#123C22×D7314yes—
1677#123C22×D7314yes—
1678#123C22×D7314yes—
1679C22⋊Q8—732no—
1680C22⋊Q8—732no—
1681C22⋊Q8—734no—
1682C22⋊Q8—734no—
1683C22⋊Q8—734no—
1684C22⋊Q8—734no—
1685C22⋊Q8—732no—
1686C22⋊Q8—732no—
1687C22⋊Q8—732no—
1688C22⋊Q8—732no—
1689C22⋊Q8—734no—
1690C22⋊Q8—734no—
1691C22⋊Q8—734no—
1692C22⋊Q8—732no—
1693C22⋊Q8—732no—
1694C22⋊Q8—734no—
1695C22⋊Q8—732no—
1696C22⋊Q8—732no—
1697C22⋊Q8—732no—
1698C22⋊Q8—732no—
1699C22⋊Q8—732no—
1700C22⋊Q8—732no—
1701C22⋊Q8—734no—
1702C22⋊Q8—734no—
1703C22⋊Q8—734no—
1704C22⋊Q8—734no—
1705C22⋊Q8—734no—
1706C22⋊Q8—734no—
1707C22⋊Q8—734no—
1708C22⋊Q8—734no—
1709C22⋊Q8—734no—
1710C22⋊Q8—734no—
1711C22⋊Q8—734no—
1712C22⋊Q8—734no—
1713C22⋊Q8—734no—
1714C22⋊Q8—734no—
1715C22⋊Q8—734no—
1716C22⋊Q8C22×D7314yes—
1717C22⋊Q8C22×D7314yes—
1718C22⋊Q8C22×D7314yes—
1719C22⋊Q8C22×D7314yes—
1720#121—732no—
1721#121—734no—
1722#121—734no—
1723#121—732no—
1724#121—732no—
1725#121—732no—
1726#121—732no—
1727#121—732no—
1728#121—734no—
1729#121—734no—
1730#121—734no—
1731#121—734no—
1732#121—734no—
1733#121—734no—
1734#121—734no—
1735#121—734no—
1736#121—732no—
1737#121—732no—
1738#121—734no—
1739#121—734no—
1740#121—734no—
1741#121—734no—
1742#121—734no—
1743#121—734no—
1744#121—734no—
1745#121—734no—
1746#121—734no—
1747#121—734no—
1748#121—734no—
1749#121—734no—
1750#121—734no—
1751#121—734no—
1752#121—734no—
1753#121—734no—
1754#121—732no—
1755#121—732no—
1756#121—734no—
1757#121—734no—
1758#121—734no—
1759#121—734no—
1760#121—732no—
1761#121—732no—
1762#121—732no—
1763#121—732no—
1764#121—734no—
1765#121—732no—
1766#121—732no—
1767#121—732no—
1768#121—732no—
1769#121—734no—
1770#121—734no—
1771#121—734no—
1772#121—734no—
1773#121—734no—
1774#121—734no—
1775#121—734no—
1776#121—734no—
1777#121—734no—
1778#121—734no—
1779#121C22×D7312yes—
1780#121C22×D7312yes—
1781#121C22×D7312yes—
1782#121C22×D7312yes—
1783#121C22×D7314yes—
1784#121C22×D7314yes—
1785#121C22×D7314yes—
1786#121C22×D7314yes—
1787#121C22×D7314yes—
1788#121C22×D7314yes—
1789#120—734no—
1790#120—734no—
1791#120—734no—
1792#120—734no—
1793#120—734no—
1794#120—734no—
1795#120—734no—
1796#120—734no—
1797#120—734no—
1798#120—734no—
1799#120—734no—
1800#120—734no—
1801#120—734no—
1802#120—734no—
1803#120—734no—
1804#120—734no—
1805#120—734no—
1806#120—734no—
1807#120—734no—
1808#120C22×D7314yes—
1809#120C22×D7314yes—
1810#120C22×D7314yes—
1811#120C22×D7314yes—
1812C4×Q8—732no—
1813C4×Q8—732no—
1814C4×Q8—732no—
1815C4×Q8—732no—
1816C4×Q8—732no—
1817C4×Q8—732no—
1818C4×Q8—734no—
1819C4×Q8—732no—
1820C4×Q8—732no—
1821C4×Q8—732no—
1822C4×Q8—732no—
1823C4×Q8—732no—
1824C4×Q8—732no—
1825C4×Q8—732no—
1826C4×Q8—732no—
1827C4×D4—732no—
1828C4×D4—732no—
1829C4×D4—734no—
1830C4×D4—734no—
1831C4×D4—734no—
1832C4×D4—732no—
1833C4×D4—732no—
1834C4×D4—732no—
1835C4×D4—732no—
1836C4×D4—734no—
1837C4×D4—734no—
1838C4×D4—734no—
1839C4×D4—732no—
1840C4×D4—732no—
1841C4×D4—732no—
1842C4×D4—732no—
1843C4×D4—734no—
1844C4×D4—734no—
1845C4×D4—732no—
1846C4×D4—734no—
1847C4×D4—734no—
1848C4×D4—734no—
1849C4×D4—734no—
1850C4×D4—732no—
1851C4×D4—734no—
1852C4×D4—734no—
1853C4×D4—732no—
1854C4×D4—732no—
1855C4×D4—732no—
1856C4×D4—732no—
1857C4×D4—734no—
1858C4×D4—734no—
1859C4×D4—734no—
1860C4×D4—734no—
1861C4×D4—734no—
1862C4×D4—734no—
1863C4×D4—734no—
1864C4×D4—734no—
1865C4×D4—734no—
1866C4×D4—734no—
1867C4×D4—734no—
1868C4×D4—734no—
1869C4×D4—732no—
1870C4×D4—732no—
1871C4×D4—734no—
1872C4×D4—734no—
1873C4×D4—734no—
1874C4×D4—734no—
1875C4×D4—734no—
1876C4×D4—734no—
1877C4×D4—734no—
1878C4×D4—734no—
1879C4×D4—734no—
1880C4×D4—732no—
1881C4×D4—732no—
1882C4×D4—732no—
1883C4×D4—732no—
1884C4×D4—732no—
1885C4×D4—732no—
1886C4×D4—732no—
1887C4×D4—732no—
1888C4×D4C22×D7312yes—
1889C4×D4C22×D7312yes—
1890C4×D4C22×D7314yes—
1891C4×D4C22×D7312yes—
1892C4×D4C22×D7312yes—
1893C4×D4C22×D7314yes—
1894#117—732no—
1895#117—734no—
1896#117—734no—
1897#117—732no—
1898#117—732no—
1899#117—734no—
1900#117—734no—
1901#117—734no—
1902#117—734no—
1903#117—734no—
1904#117—732no—
1905#117—732no—
1906#117—732no—
1907#117—732no—
1908#117—734no—
1909#117C22×D7312yes—
1910#117C22×D7312yes—
1911#117C22×D7312yes—
1912#117C22×D7312yes—
1913C2×C4⋊C4—731no—
1914C2×C4⋊C4—731no—
1915C2×C4⋊C4—731no—
1916C2×C4⋊C4—731no—
1917C2×C4⋊C4—731no—
1918C2×C4⋊C4—734no—
1919C2×C4⋊C4—734no—
1920C2×C4⋊C4—731no—
1921C2×C4⋊C4—731no—
1922C2×C4⋊C4—731no—
1923C2×C4⋊C4—732no—
1924C2×C4⋊C4—732no—
1925C2×C4⋊C4—734no—
1926C2×C4⋊C4C22×D7311yescharacteristic
1927C2×C4⋊C4C22×D7311yescharacteristic
1928C2×C22⋊C4—731no—
1929C2×C22⋊C4—731no—
1930C2×C22⋊C4—734no—
1931C2×C22⋊C4—734no—
1932C2×C22⋊C4—731no—
1933C2×C22⋊C4—731no—
1934C2×C22⋊C4—731no—
1935C2×C22⋊C4—731no—
1936C2×C22⋊C4—731no—
1937C2×C22⋊C4—731no—
1938C2×C22⋊C4—734no—
1939C2×C22⋊C4—734no—
1940C2×C22⋊C4—734no—
1941C2×C22⋊C4—734no—
1942C2×C22⋊C4—734no—
1943C2×C22⋊C4—734no—
1944C2×C22⋊C4C22×D7311yescharacteristic
1945C2×C22⋊C4C22×D7311yescharacteristic
1946C2×C42—731no—
1947C2×C42—731no—
1948C2×C42—734no—
1949C2×C42—734no—
1950C2×C42—731no—
1951C2×C42—731no—
1952C2×C42—731no—
1953C2×C42—731no—
1954C2×C42—734no—
1955C2×C42—731no—
1956C2×C42—731no—
1957C2×C42—731no—
1958C2×C42—731no—
1959C2×C42—731no—
1960C2×C42—731no—
1961C2×C42C22×D7311yescharacteristic
1962C2×C42C22×D7311yescharacteristic
1963C24—734no—
1964C24—734no—
1965C24—731no—
1966C24—731no—
1967C24C23×D7311yescharacteristic
1968C24C23×D7314yes—
1969#41—28no—
1970#41—28no—
1971#41—48no—
1972#41—48no—
1973#41—44no—
1974#41—44no—
1975#41—2928no—
1976#41—2928no—
1977#41—2924no—
1978#41—2924no—
1979#41—2928no—
1980#41—2928no—
1981#41—2928no—
1982#41—2924no—
1983#41—2924no—
1984#41—2924no—
1985#41—2924no—
1986#41—1468no—
1987C2×Q8—44no—
1988C2×Q8—2922no—
1989C2×Q8—2924no—
1990C2×Q8—2924no—
1991C2×Q8—732no—
1992C2×Q8—732no—
1993C2×Q8—732no—
1994C2×Q8—734no—
1995C2×Q8—734no—
1996C2×Q8—732no—
1997C2×Q8—732no—
1998C2×Q8C23×D7312yes—
1999C2×Q8C23×D7312yes—
2000C2×Q8C23×D7314yes—
2001C2×D4—44no—
2002C2×D4—48no—
2003C2×D4—2922no—
2004C2×D4—2928no—
2005C2×D4—2928no—
2006C2×D4—2928no—
2007C2×D4—2922no—
2008C2×D4—2928no—
2009C2×D4—2924no—
2010C2×D4—2924no—
2011C2×D4—2924no—
2012C2×D4—2924no—
2013C2×D4—2922no—
2014C2×D4—2928no—
2015C2×D4—732no—
2016C2×D4—734no—
2017C2×D4—734no—
2018C2×D4—734no—
2019C2×D4—734no—
2020C2×D4—734no—
2021C2×D4—734no—
2022C2×D4—734no—
2023C2×D4—734no—
2024C2×D4—732no—
2025C2×D4—734no—
2026C2×D4—734no—
2027C2×D4—734no—
2028C2×D4—734no—
2029C2×D4—734no—
2030C2×D4—732no—
2031C2×D4—732no—
2032C2×D4—734no—
2033C2×D4—734no—
2034C2×D4—732no—
2035C2×D4—732no—
2036C2×D4—732no—
2037C2×D4—734no—
2038C2×D4—734no—
2039C2×D4—732no—
2040C2×D4—732no—
2041C2×D4C23×D7314yes—
2042C2×D4C23×D7314yes—
2043C2×D4C23×D7312yes—
2044C2×D4C23×D7312yes—
2045C2×D4C23×D7312yes—
2046C2×D4C23×D7312yes—
2047C2×D4C23×D7314yes—
2048C2×D4C23×D7312yes—
2049C2×D4C23×D7312yes—
2050C2×D4C23×D7314yes—
2051C2×D4C23×D7314yes—
2052C2×D4C23×D7314yes—
2053C2×D4C23×D7314yes—
2054C22×C4—24no—
2055C22×C4—48no—
2056C22×C4—2928no—
2057C22×C4—2928no—
2058C22×C4—2922no—
2059C22×C4—2922no—
2060C22×C4—731no—
2061C22×C4—731no—
2062C22×C4—734no—
2063C22×C4—734no—
2064C22×C4—731no—
2065C22×C4—734no—
2066C22×C4—734no—
2067C22×C4—734no—
2068C22×C4—731no—
2069C22×C4—731no—
2070C22×C4—731no—
2071C22×C4—731no—
2072C22×C4—734no—
2073C22×C4—734no—
2074C22×C4—734no—
2075C22×C4—734no—
2076C22×C4—734no—
2077C22×C4—734no—
2078C22×C4—731no—
2079C22×C4—731no—
2080C22×C4—734no—
2081C22×C4—731no—
2082C22×C4—731no—
2083C22×C4—731no—
2084C22×C4—731no—
2085C22×C4—731no—
2086C22×C4—731no—
2087C22×C4—731no—
2088C22×C4—732no—
2089C22×C4—731no—
2090C22×C4—731no—
2091C22×C4—734no—
2092C22×C4—732no—
2093C22×C4—1464no—
2094C22×C4—1464no—
2095C22×C4C23×D7311yescharacteristic
2096C22×C4C23×D7312yes—
2097C22×C4C23×D7314yes—
2098C22×C4C23×D7314yes—
2099C22×C4C23×D7312yes—
2100C22×C4C23×D7311yescharacteristic
2101C22×C4C23×D7311yescharacteristic
2102C22×C4C23×D7311yescharacteristic
2103C22×C4C23×D7311yescharacteristic
2104C22×C4C23×D7314yes—
2105C22×C4C23×D7314yes—
2106C22×C4C23×D7314yes—
2107C22×C4C23×D7311yescharacteristic
2108C4⋊C4—732no—
2109C4⋊C4—732no—
2110C4⋊C4—734no—
2111C4⋊C4—734no—
2112C4⋊C4—732no—
2113C4⋊C4—732no—
2114C4⋊C4—732no—
2115C4⋊C4—732no—
2116C4⋊C4—732no—
2117C4⋊C4—732no—
2118C4⋊C4—732no—
2119C4⋊C4—734no—
2120C4⋊C4—734no—
2121C4⋊C4—734no—
2122C4⋊C4—734no—
2123C4⋊C4—734no—
2124C4⋊C4—734no—
2125C4⋊C4—732no—
2126C4⋊C4—732no—
2127C4⋊C4—732no—
2128C4⋊C4—734no—
2129C4⋊C4—734no—
2130C4⋊C4—734no—
2131C4⋊C4—734no—
2132C4⋊C4—734no—
2133C4⋊C4—734no—
2134C4⋊C4—732no—
2135C4⋊C4—732no—
2136C4⋊C4—732no—
2137C4⋊C4—732no—
2138C4⋊C4—732no—
2139C4⋊C4—732no—
2140C4⋊C4—732no—
2141C4⋊C4—732no—
2142C4⋊C4—734no—
2143C4⋊C4—734no—
2144C4⋊C4—734no—
2145C4⋊C4—734no—
2146C4⋊C4—732no—
2147C4⋊C4—732no—
2148C4⋊C4C23×D7312yes—
2149C4⋊C4C23×D7312yes—
2150C4⋊C4C23×D7314yes—
2151C4⋊C4C23×D7312yes—
2152C4⋊C4C23×D7312yes—
2153C4⋊C4C23×D7312yes—
2154C4⋊C4C23×D7312yes—
2155C4⋊C4C23×D7312yes—
2156C4⋊C4C23×D7312yes—
2157C4⋊C4C23×D7314yes—
2158C22⋊C4—732no—
2159C22⋊C4—732no—
2160C22⋊C4—734no—
2161C22⋊C4—734no—
2162C22⋊C4—732no—
2163C22⋊C4—734no—
2164C22⋊C4—734no—
2165C22⋊C4—732no—
2166C22⋊C4—734no—
2167C22⋊C4—734no—
2168C22⋊C4—734no—
2169C22⋊C4—734no—
2170C22⋊C4—734no—
2171C22⋊C4—734no—
2172C22⋊C4—734no—
2173C22⋊C4—734no—
2174C22⋊C4—734no—
2175C22⋊C4—734no—
2176C22⋊C4—734no—
2177C22⋊C4—732no—
2178C22⋊C4—732no—
2179C22⋊C4—732no—
2180C22⋊C4—732no—
2181C22⋊C4—734no—
2182C22⋊C4—734no—
2183C22⋊C4—732no—
2184C22⋊C4—732no—
2185C22⋊C4—732no—
2186C22⋊C4—732no—
2187C22⋊C4—732no—
2188C22⋊C4—734no—
2189C22⋊C4—734no—
2190C22⋊C4—732no—
2191C22⋊C4—734no—
2192C22⋊C4—734no—
2193C22⋊C4—734no—
2194C22⋊C4—734no—
2195C22⋊C4—734no—
2196C22⋊C4—734no—
2197C22⋊C4—732no—
2198C22⋊C4—732no—
2199C22⋊C4—734no—
2200C22⋊C4—734no—
2201C22⋊C4—734no—
2202C22⋊C4—734no—
2203C22⋊C4C23×D7314yes—
2204C22⋊C4C23×D7314yes—
2205C22⋊C4C23×D7314yes—
2206C22⋊C4C23×D7314yes—
2207C22⋊C4C23×D7312yes—
2208C22⋊C4C23×D7312yes—
2209C22⋊C4C23×D7312yes—
2210C22⋊C4C23×D7312yes—
2211C22⋊C4C23×D7314yes—
2212C22⋊C4C23×D7314yes—
2213C22⋊C4C23×D7314yes—
2214C22⋊C4C23×D7314yes—
2215C42—731no—
2216C42—731no—
2217C42—731no—
2218C42—731no—
2219C42—731no—
2220C42—731no—
2221C42—731no—
2222C42—731no—
2223C42—731no—
2224C42—731no—
2225C42—734no—
2226C42—734no—
2227C42—732no—
2228C42—734no—
2229C42—734no—
2230C42—734no—
2231C42—734no—
2232C42—731no—
2233C42—731no—
2234C42—732no—
2235C42—734no—
2236C42C23×D7311yescharacteristic
2237C42C23×D7311yescharacteristic
2238C42C23×D7312yes—
2239C42C23×D7311yescharacteristic
2240C42C23×D7311yescharacteristic
2241C42C23×D7312yes—
2242C23—22no—
2243C23—44no—
2244C23—41no—
2245C23—41no—
2246C23—44no—
2247C23—44no—
2248C23—2921no—
2249C23—2924no—
2250C23—2924no—
2251C23—2921no—
2252C23—2921no—
2253C23—2924no—
2254C23—2924no—
2255C23—2924no—
2256C23—731no—
2257C23—732no—
2258C23—734no—
2259C23—731no—
2260C23—1462no—
2261C23—1468no—
2262C23—1462no—
2263C23—1462no—
2264C23C24×D7312yes—
2265C23C24×D7314yes—
2266C23C24×D7314yes—
2267C23C24×D7311yescharacteristic
2268Q8—24no—
2269Q8—24no—
2270Q8—44no—
2271Q8—2924no—
2272Q8—2924no—
2273Q8—2922no—
2274Q8—2922no—
2275Q8—2922no—
2276Q8—1464no—
2277Q8—1464no—
2278D4—28no—
2279D4—28no—
2280D4—24no—
2281D4—24no—
2282D4—44no—
2283D4—44no—
2284D4—44no—
2285D4—44no—
2286D4—42no—
2287D4—42no—
2288D4—44no—
2289D4—42no—
2290D4—42no—
2291D4—2924no—
2292D4—2924no—
2293D4—2922no—
2294D4—2922no—
2295D4—2922no—
2296D4—2924no—
2297D4—2924no—
2298D4—2924no—
2299D4—2924no—
2300D4—2924no—
2301D4—2922no—
2302D4—2924no—
2303D4—2924no—
2304D4—2924no—
2305D4—2924no—
2306D4—2924no—
2307D4—2922no—
2308D4—2924no—
2309D4—2924no—
2310D4—1464no—
2311D4—1464no—
2312D4—1468no—
2313D4—1464no—
2314D4—1468no—
2315D4—1468no—
2316D4—1464no—
2317C2×C4—22no—
2318C2×C4—24no—
2319C2×C4—24no—
2320C2×C4—28no—
2321C2×C4—28no—
2322C2×C4—44no—
2323C2×C4—44no—
2324C2×C4—44no—
2325C2×C4—41no—
2326C2×C4—41no—
2327C2×C4—41no—
2328C2×C4—41no—
2329C2×C4—2924no—
2330C2×C4—2924no—
2331C2×C4—2924no—
2332C2×C4—2924no—
2333C2×C4—2921no—
2334C2×C4—2921no—
2335C2×C4—2921no—
2336C2×C4—2921no—
2337C2×C4—2924no—
2338C2×C4—2924no—
2339C2×C4—2924no—
2340C2×C4—2924no—
2341C2×C4—2921no—
2342C2×C4—2921no—
2343C2×C4—2924no—
2344C2×C4—2921no—
2345C2×C4—2924no—
2346C2×C4—2924no—
2347C2×C4—731no—
2348C2×C4—731no—
2349C2×C4—732no—
2350C2×C4—731no—
2351C2×C4—734no—
2352C2×C4—734no—
2353C2×C4—732no—
2354C2×C4—731no—
2355C2×C4—731no—
2356C2×C4—731no—
2357C2×C4—734no—
2358C2×C4—732no—
2359C2×C4—1462no—
2360C2×C4—1462no—
2361C2×C4—1462no—
2362C2×C4—1462no—
2363C2×C4—1462no—
2364C2×C4—1468no—
2365C2×C4—1462no—
2366C2×C4—1462no—
2367C2×C4—1462no—
2368C2×C4—1464no—
2369C2×C4—1468no—
2370C2×C4—1462no—
2371C2×C4—1464no—
2372C2×C4—1462no—
2373C2×C4—1462no—
2374C2×C4#1455663614yes—
2375C2×C4C24×D7312yes—
2376C2×C4C24×D7311yescharacteristic
2377C2×C4C24×D7311yescharacteristic
2378C2×C4C24×D7312yes—
2379C2×C4C24×D7311yescharacteristic
2380C2×C4C24×D7311yescharacteristic
2381C2×C4C24×D7314yes—
2382C2×C4C24×D7314yes—
2383C2×C4C24×D7312yes—
2384C2×C4C24×D7311yescharacteristic
2385C2×C4C24×D7311yescharacteristic
2386C22—21no—
2387C22—21no—
2388C22—22no—
2389C22—24no—
2390C22—24no—
2391C22—24no—
2392C22—24no—
2393C22—24no—
2394C22—24no—
2395C22—22no—
2396C22—22no—
2397C22—82no—
2398C22—88no—
2399C22—2924no—
2400C22—5842no—
2401C22—5848no—
2402C22—5848no—
2403C22—732no—
2404C22—1462no—
2405C22—1464no—
2406C22—1461no—
2407C22—1461no—
2408C22—1461no—
2409C22—1464no—
2410C22—1464no—
2411C22—1462no—
2412C22—1462no—
2413C22—1461no—
2414C22—1461no—
2415C22C2×#1455663612yes—
2416C22C25×D7311yescharacteristic
2417C4—22no—
2418C4—24no—
2419C4—24no—
2420C4—22no—
2421C4—22no—
2422C4—21no—
2423C4—21no—
2424C4—21no—
2425C4—21no—
2426C4—732no—
2427C4—1461no—
2428C4—1462no—
2429C4—1464no—
2430C4—1461no—
2431C4—1461no—
2432C4—1462no—
2433C4—1464no—
2434C4—1462no—
2435C4—1461no—
2436C4—1464no—
2437C4—1461no—
2438C4C2×#1455663612yes—
2439C4C2×#1455663612yes—
2440C2—22no—
2441C2—42no—
2442C2—44no—
2443C2—44no—
2444C2—2921no—
2445C2—2922no—
2446C2—2924no—
2447C2—1462no—
2448C2C22×#1455663611yescharacteristic
2449C2#585×D7311yescharacteristic
2450C2#585×D7311yescharacteristic
subgroupG/H
centerC2×C4C24×D73
commutator, socle, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC73×#3449C2
hypercenter#3449D73
hypocenterC73#62748
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ #3449

Complements

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

NH ≅ G/Ntype
1. #22624515C2semidirect
2. #22624507C2semidirect
3. #22624492C2semidirect
4. #22624480C2semidirect
5. #22624473C2semidirect
6. #22624458C2semidirect
7. #22624449C2semidirect
8. #22624443C2semidirect
9. #22624391C2semidirect
10. #22624363C2semidirect
11. #22624292C2semidirect
12. #22624257C2semidirect
13. #22624168C2semidirect
14. #22624148C2semidirect
15. #22624118C2semidirect
16. #22624110C2semidirect
17. #22624069C2semidirect
18. #22623533C2semidirect
19. #22623528C2semidirect
20. #22623417C2semidirect
21. #41×C22⋊D73C2semidirect
22. #41×C22⋊D73C2semidirect
23. #22623349C2semidirect
24. #22623338C2semidirect
25. #22623321C2semidirect
26. #22623320C2semidirect
27. #22623258C2semidirect
28. #22623226C2semidirect
29. #532×D73C2semidirect
30. C2×#17989115C2semidirect
31. C73×#3449C2semidirect
32. C2×#41×D73C22semidirect
33. C2×#41×D73C22semidirect
34. #17989340C22semidirect
35. #17989338C22semidirect
36. #17989338C22semidirect
37. #17989334C22semidirect
38. #17989334C22semidirect
39. #17989333C22semidirect
40. #17989333C22semidirect
41. #17989332C22semidirect
42. #17989332C22semidirect
43. #17989330C22semidirect
44. #17989327C22semidirect
45. #17989326C22semidirect
46. #17989326C22semidirect
47. #17989326C22semidirect
48. #17989325C22semidirect
49. #17989325C22semidirect
50. #17989323C22semidirect
51. #17989321C22semidirect
52. #17989319C22semidirect
53. #17989319C22semidirect
54. #17989312C22semidirect
55. #17989311C22semidirect
56. #17989306C22semidirect
57. #17989306C22semidirect
58. #17989291C22semidirect
59. #17989291C22semidirect
60. #17989289C22semidirect
61. #17989282C22semidirect
62. #17989282C22semidirect
63. #17989280C22semidirect
64. #17989280C22semidirect
65. #17989280C22semidirect
66. #17989280C22semidirect
67. #17989268C22semidirect
68. #17989265C22semidirect
69. #17989264C22semidirect
70. #17989264C22semidirect
71. #17989257C22semidirect
72. #17989257C22semidirect
73. #17989256C22semidirect
74. #17989256C22semidirect
75. #17989252C22semidirect
76. Q8×C22⋊D73C22semidirect
77. Q8×C22⋊D73C22semidirect
78. #17989248C22semidirect
79. #17989248C22semidirect
80. #17989245C22semidirect
81. #17989245C22semidirect
82. #17989244C22semidirect
83. #17989244C22semidirect
84. #17989243C22semidirect
85. #17989240C22semidirect
86. #17989237C22semidirect
87. #17989236C22semidirect
88. #17989236C22semidirect
89. #17989236C22semidirect
90. #17989236C22semidirect
91. #17989231C22semidirect
92. #17989231C22semidirect
93. #17989231C22semidirect
94. #17989231C22semidirect
95. #17989230C22semidirect
96. #17989230C22semidirect
97. #17989226C22semidirect
98. #17989226C22semidirect
99. #17989226C22semidirect
100. #17989226C22semidirect
101. #17989225C22semidirect
102. #17989225C22semidirect
103. #17989225C22semidirect
104. #17989225C22semidirect
105. #17989224C22semidirect
106. #17989224C22semidirect
107. #17989222C22semidirect
108. #17989221C22semidirect
109. D4×C22⋊D73C22semidirect
110. D4×C22⋊D73C22semidirect
111. D4×C22⋊D73C22semidirect
112. D4×C22⋊D73C22semidirect
113. #17989219C22semidirect
114. #17989216C22semidirect
115. #17989212C22semidirect
116. #17989208C22semidirect
117. #17989208C22semidirect
118. #17989207C22semidirect
119. #17989207C22semidirect
120. #17989206C22semidirect
121. #17989206C22semidirect
122. #17989205C22semidirect
123. #17989205C22semidirect
124. #17989199C22semidirect
125. #17989198C22semidirect
126. #17989192C22semidirect
127. #17989191C22semidirect
128. #17989189C22semidirect
129. #17989189C22semidirect
130. #17989187C22semidirect
131. #17989187C22semidirect
132. #17989186C22semidirect
133. #17989184C22semidirect
134. #17989184C22semidirect
135. #17989183C22semidirect
136. #17989183C22semidirect
137. #17989182C22semidirect
138. #17989182C22semidirect
139. #17989182C22semidirect
140. #17989180C22semidirect
141. #17989180C22semidirect
142. #17989177C22semidirect
143. #17989175C22semidirect
144. #17989175C22semidirect
145. #17989174C22semidirect
146. #17989174C22semidirect
147. #17989174C22semidirect
148. #17989173C22semidirect
149. #17989173C22semidirect
150. #17989172C22semidirect
151. #17989172C22semidirect
152. #17989172C22semidirect
153. #17989172C22semidirect
154. #17989169C22semidirect
155. #17989169C22semidirect
156. #17989164C22semidirect
157. #17989164C22semidirect
158. #17989164C22semidirect
159. #17989162C22semidirect
160. #17989157C22semidirect
161. #17989155C22semidirect
162. #17989152C22semidirect
163. #17989152C22semidirect
164. #17989150C22semidirect
165. #17989147C22semidirect
166. #17989147C22semidirect
167. #17989145C22semidirect
168. #17989145C22semidirect
169. #17989145C22semidirect
170. #17989144C22semidirect
171. #17989142C22semidirect
172. #17989142C22semidirect
173. #17989138C22semidirect
174. #17989137C22semidirect
175. #17989136C22semidirect
176. #17989135C22semidirect
177. #17989135C22semidirect
178. #17989135C22semidirect
179. #17989134C22semidirect
180. #17989134C22semidirect
181. #17989134C22semidirect
182. #17989133C22semidirect
183. #17989133C22semidirect
184. #17989133C22semidirect
185. #17989133C22semidirect
186. #17989132C22semidirect
187. #17989132C22semidirect
188. C4⋊Q8×D73C22semidirect
189. #127×D73C22semidirect
190. #17989119C22semidirect
191. #17989119C22semidirect
192. #17989119C22semidirect
193. #17989118C22semidirect
194. #17989118C22semidirect
195. #17989117C22semidirect
196. #17989117C22semidirect
197. #17989117C22semidirect
198. #17989117C22semidirect
199. #17989116C22semidirect
200. #17989116C22semidirect
201. #17989115C22semidirect
202. #17989115C22semidirect
203. #17989115C22semidirect
204. #17989115C22semidirect
205. #17989115C22semidirect
206. #17989115C22semidirect
207. #17989115C22semidirect
208. #17989115C22semidirect
209. #17989115C22semidirect
210. #17989115C22semidirect
211. C2×#14556586C22semidirect
212. C2×#14556584C22semidirect
213. C2×#14556581C22semidirect
214. C2×#14556577C22semidirect
215. #124×D73C22semidirect
216. #17989098C22semidirect
217. #17989098C22semidirect
218. #17989098C22semidirect
219. #17989097C22semidirect
220. #17989097C22semidirect
221. #17989096C22semidirect
222. #17989096C22semidirect
223. #17989096C22semidirect
224. #17989096C22semidirect
225. #17989094C22semidirect
226. #17989094C22semidirect
227. #17989094C22semidirect
228. #17989094C22semidirect
229. C2×#14556576C22semidirect
230. C2×#14556573C22semidirect
231. C2×#14556569C22semidirect
233. #121×D73C22semidirect
234. #121×D73C22semidirect
235. #41×Dic73C22semidirect
236. #41×Dic73C22semidirect
237. C4×#11924028C22semidirect
238. C4×#11924027C22semidirect
239. C4×#11924027C22semidirect
240. C4×#11924027C22semidirect
241. C2×C4×Dic146C22semidirect
242. C2×C4×D292C22semidirect
243. C2×C4×C22⋊D73C22semidirect
244. C2×C4×C22⋊D73C22semidirect
245. C2×C4×C22⋊D73C22semidirect
246. C2×C4×C22⋊D73C22semidirect
247. C4×D4×D73C22semidirect
248. C4×D4×D73C22semidirect
249. C4×D4×D73C22semidirect
250. C2×#14556548C22semidirect
251. C2×C42×D73C22semidirect
252. C22×#41×C73C22semidirect
253. #537×C73C22semidirect
254. #537×C73C22semidirect
255. #536×C73C22semidirect
256. #536×C73C22semidirect
257. #535×C73C22semidirect
258. #535×C73C22semidirect
259. #534×C73C22semidirect
260. #534×C73C22semidirect
261. #532×C73C22semidirect
262. #532×C73C22semidirect
263. #532×C73C22semidirect
264. #525×C73C22semidirect
265. #525×C73C22semidirect
266. C2×#117×C73C22semidirect
1253. #3449D73semidirect
1257. C73#62748semidirect
1260. C22×#41C2×D73semidirect
1386. #537C2×D73semidirect
1387. #537C2×D73semidirect
1390. #536C2×D73semidirect
1391. #536C2×D73semidirect
1396. #535C2×D73semidirect
1397. #535C2×D73semidirect
1403. #534C2×D73semidirect
1404. #534C2×D73semidirect
1423. #532C2×D73semidirect
1424. #532C2×D73semidirect
1425. #532C2×D73semidirect
1467. #525C2×D73semidirect
1468. #525C2×D73semidirect
1491. C2×#117C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245152
#226245072
#226244922
#226244802
#226244732
#226244582
#226244492
#226244432
#226243912
#226243632
#226242922
#226242572
#226241682
#226241482
#226241182
#226241102
#226240692
#226235332
#226235282
#226234172
#41×C22⋊D732
#226233492
#226233382
#226233212
#226233202
#226232582
#226232262
#532×D732
C2×#179891152
C73×#34492
#6274873