Finite Group Databasebeta

← #33993806

Subgroups — #33993806

Order 18688.

7270 conjugacy classes of subgroups.

The subgroup lattice has 2514 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624360C211yesmaximal, characteristic, complemented
2#22624355C211yesmaximal, characteristic, complemented
3#22624349C212yesmaximal, complemented
4#22624340C211yesmaximal, characteristic, complemented
5#22624334C211yesmaximal, characteristic, complemented
6#22624326C212yesmaximal, complemented
7#22624318C212yesmaximal, complemented
8#22624310C212yesmaximal, complemented
9#22624301C212yesmaximal, complemented
10#22624293C212yesmaximal, complemented
11#22624285C212yesmaximal, complemented
12#22624280C212yesmaximal, complemented
13#22624269C212yesmaximal, complemented
14#22624258C212yesmaximal, complemented
15#22624242C214yesmaximal, complemented
16#22624234C214yesmaximal, complemented
17#22624069C212yesmaximal, complemented
18#22624067C212yesmaximal, complemented
19#22623555C212yesmaximal, complemented
20#22623533C212yesmaximal, complemented
21#22623491C212yesmaximal, complemented
22#22623485C212yesmaximal, complemented
23#41×C22⋊D73C212yesmaximal, complemented
24#22623414C212yesmaximal, complemented
25#22623349C214yesmaximal, complemented
26#22623345C214yesmaximal, complemented
27#22623261C212yesmaximal, complemented
28#22623260C211yesmaximal, characteristic, complemented
29#22623223C212yesmaximal, complemented
30C2×#17989133C211yesmaximal, characteristic, complemented
31C73×#3449C211yesmaximal, characteristic, complemented
32C22×#11924028C2211yescharacteristic, complemented
33C22×#11924028C2211yescharacteristic, complemented
34C2×#41×D73C2212yescomplemented
35#17989340C2212yescomplemented
36#17989338C2214yescomplemented
37#17989337C2212yescomplemented
38#17989336C2212yescomplemented
39#17989336C2212yescomplemented
40#17989334C2214yescomplemented
41#17989333C2214yescomplemented
42#17989332C2214yescomplemented
43#17989332C2214yescomplemented
44#17989332C2214yescomplemented
45#17989331C2214yescomplemented
46#17989330C2212yescomplemented
47#17989329C2212yescomplemented
48#17989327C2212yescomplemented
49#17989326C2212yescomplemented
50#17989326C2214yescomplemented
51#17989325C2214yescomplemented
52#17989325C2214yescomplemented
53#17989325C2214yescomplemented
54#17989324C2214yescomplemented
55#17989321C2212yescomplemented
56#17989317C2212yescomplemented
57#17989308C2212yescomplemented
58#17989305C2212yescomplemented
59#17989303C2212yescomplemented
60#17989301C2212yescomplemented
61#17989301C2214yescomplemented
62#17989301C2214yescomplemented
63#17989300C2212yescomplemented
64#17989299C2212yescomplemented
65#17989299C2212yescomplemented
66#17989299C2214yescomplemented
67#17989295C2212yescomplemented
68#17989292C2212yescomplemented
69#17989291C2214yescomplemented
70#17989289C2212yescomplemented
71#17989285C2212yescomplemented
72#17989284C2212yescomplemented
73#17989282C2214yescomplemented
74#17989281C2212yescomplemented
75#17989280C2214yescomplemented
76#17989279C2212yescomplemented
77#17989276C2212yescomplemented
78#17989274C2214yescomplemented
79#17989272C2212yescomplemented
80#17989271C2212yescomplemented
81#17989270C2214yescomplemented
82#17989268C2214yescomplemented
83#17989268C2212yescomplemented
84#17989265C2212yescomplemented
85#17989264C2214yescomplemented
86#17989263C2214yescomplemented
87#17989261C2214yescomplemented
88#17989260C2214yescomplemented
89#17989257C2214yescomplemented
90#17989256C2212yescomplemented
91#17989255C2214yescomplemented
92#17989255C2214yescomplemented
93#17989255C2212yescomplemented
94Q8×C22⋊D73C2212yescomplemented
95#17989250C2212yescomplemented
96#17989248C2212yescomplemented
97#17989247C2212yescomplemented
98#17989244C2212yescomplemented
99#17989243C2212yescomplemented
100#17989239C2212yescomplemented
101#17989238C2212yescomplemented
102#17989237C2212yescomplemented
103#17989236C2214yescomplemented
104#17989236C2212yescomplemented
105#17989235C2214yescomplemented
106#17989234C2212yescomplemented
107#17989231C2214yescomplemented
108#17989231C2212yescomplemented
109#17989229C2214yescomplemented
110#17989228C2212yescomplemented
111#17989227C2214yescomplemented
112#17989226C2214yescomplemented
113#17989225C2214yescomplemented
114#17989225C2212yescomplemented
115#17989224C2214yescomplemented
116#17989224C2214yescomplemented
117#17989224C2214yescomplemented
118#17989221C2212yescomplemented
119D4×C22⋊D73C2214yescomplemented
120D4×C22⋊D73C2212yescomplemented
121#17989219C2212yescomplemented
122#17989219C2214yescomplemented
123#17989216C2214yescomplemented
124#17989214C2214yescomplemented
125#17989211C2214yescomplemented
126#17989207C2214yescomplemented
127#17989207C2214yescomplemented
128#17989205C2214yescomplemented
129#17989205C2214yescomplemented
130#17989204C2214yescomplemented
131#17989201C2214yescomplemented
132#17989201C2214yescomplemented
133#17989191C2214yescomplemented
134#17989190C2214yescomplemented
135#17989189C2214yescomplemented
136#17989189C2214yescomplemented
137#17989187C2214yescomplemented
138#17989187C2214yescomplemented
139#17989187C2214yescomplemented
140#17989187C2214yescomplemented
141#17989177C2214yescomplemented
142#17989174C2214yescomplemented
143#17989172C2214yescomplemented
144#17989172C2214yescomplemented
145#17989171C2214yescomplemented
146#17989171C2214yescomplemented
147#17989169C2214yescomplemented
148#17989169C2214yescomplemented
149#17989167C2212yescomplemented
150#17989167C2212yescomplemented
151#17989166C2212yescomplemented
152#17989166C2212yescomplemented
153#17989166C2214yescomplemented
154#17989165C2212yescomplemented
155#17989165C2212yescomplemented
156#17989164C2214yescomplemented
157#17989161C2212yescomplemented
158#17989160C2212yescomplemented
159#17989160C2212yescomplemented
160#17989159C2214yescomplemented
161#17989158C2211yescharacteristic, complemented
162#17989158C2211yescharacteristic, complemented
163#17989154C2212yescomplemented
164#17989153C2214yescomplemented
165#17989153C2212yescomplemented
166#17989153C2212yescomplemented
167#17989152C2214yescomplemented
168#17989152C2214yescomplemented
169#17989152C2214yescomplemented
170#17989151C2211yescharacteristic, complemented
171#17989151C2211yescharacteristic, complemented
172#17989150C2214yescomplemented
173#17989148C2214yescomplemented
174#17989147C2214yescomplemented
175#17989146C2212yescomplemented
176#17989146C2212yescomplemented
177#17989140C2212yescomplemented
178#17989139C2212yescomplemented
179#17989139C2212yescomplemented
180#17989134C2214yescomplemented
181#17989134C2214yescomplemented
182#17989134C2214yescomplemented
183#17989133C2211yescharacteristic
184#17989133C2211yescharacteristic
185#17989133C2212yes—
186#17989133C2212yescomplemented
187#17989133C2212yescomplemented
188#17989133C2212yescomplemented
189#17989133C2212yescomplemented
190#17989133C2211yescharacteristic, complemented
191#17989133C2214yescomplemented
192#17989133C2211yescharacteristic, complemented
193#17989133C2211yescharacteristic, complemented
194#17989133C2211yescharacteristic, complemented
195#17989133C2211yescharacteristic, complemented
196#17989133C2211yescharacteristic, complemented
197#17989133C2212yescomplemented
198#17989133C2212yescomplemented
199#17989132C2212yescomplemented
200#17989132C2212yescomplemented
201C2×#14556589C2211yescharacteristic, complemented
202C2×#14556587C2211yescharacteristic
203#17989123C2212yescomplemented
204#17989123C2212yescomplemented
205#17989121C2214yescomplemented
206#17989119C2214yescomplemented
207#17989118C2212yescomplemented
208#17989118C2212yescomplemented
209#17989117C2214yescomplemented
210#17989117C2214yescomplemented
211#17989117C2214yescomplemented
212#17989117C2214yescomplemented
213#17989115C2214yescomplemented
214#17989115C2214yescomplemented
215#17989114C2214yescomplemented
216#17989114C2214yescomplemented
217C2×#14556580C2211yescharacteristic, complemented
218C2×#14556578C2211yescharacteristic, complemented
219#17989099C2212yescomplemented
220#17989098C2212yescomplemented
221#17989098C2212yescomplemented
222#17989098C2214yescomplemented
223#17989096C2214yescomplemented
224#17989096C2214yescomplemented
225#17989096C2214yescomplemented
226#17989096C2214yescomplemented
227#17989094C2212yescomplemented
228#17989094C2212yescomplemented
229#17989094C2212yescomplemented
230#17989094C2214yescomplemented
231#17989093C2214yescomplemented
232#17989093C2214yescomplemented
233C2×#14556563C2212yescomplemented
234C2×#14556563C2212yescomplemented
235#41×Dic73C2212yescomplemented
236C4×#11924028C2214yescomplemented
237#17989055C2212yescomplemented
238C4×#11924027C2214yescomplemented
239C4×#11924027C2214yescomplemented
240C4×#11924027C2214yescomplemented
241C2×C4×C22⋊D73C2212yescomplemented
242C2×C4×C22⋊D73C2214yescomplemented
243C2×C4×C22⋊D73C2212yescomplemented
244C4×D4×D73C2214yescomplemented
245C2×#14556550C2211yescharacteristic, complemented
246#117×D73C2212yescomplemented
247C22×C4×Dic73C2211yescharacteristic, complemented
248C22×#41×C73C2211yescharacteristic, complemented
249C22×#41×C73C2211yescharacteristic, complemented
250#537×C73C2212yescomplemented
251#537×C73C2212yescomplemented
252#536×C73C2212yescomplemented
253#536×C73C2211yescharacteristic, complemented
254#536×C73C2211yescharacteristic, complemented
255#535×C73C2211yescharacteristic, complemented
256#535×C73C2211yescharacteristic, complemented
257#535×C73C2212yescomplemented
258#534×C73C2212yescomplemented
259#534×C73C2212yescomplemented
260#532×C73C2212yescomplemented
261#532×C73C2212yescomplemented
262#525×C73C2212yescomplemented
263#525×C73C2212yescomplemented
264#525×C73C2212yescomplemented
265#525×C73C2212yescomplemented
266C2×#117×C73C2211yescharacteristic, complemented
267C2×#11924029C2312yes—
268C2×#11924028—44no—
269C2×#11924028—44no—
270C2×#11924028C2312yes—
271C2×#11924028C2311yescharacteristic
272C2×#11924028C2311yescharacteristic
273C2×#11924028C2311yescharacteristic
274C2×#11924028C2312yes—
275C2×#11924028C2312yes—
276C2×#11924028C2312yes—
277C2×#11924028C2311yescharacteristic
278C2×#11924028C2314yes—
279C2×#11924028C2314yes—
280C2×#11924028C2312yes—
281C2×#11924028C2312yes—
282C2×#11924027C2314yes—
283C2×#11924027C2314yes—
284C2×#11924027C2314yes—
285C2×#11924027C2314yes—
286C2×#11924027C2312yes—
287#41×D73—48no—
288C22×Dic146C2311yescharacteristic
289C22×Dic146C2311yescharacteristic
290C2×Q8×D73C2312yes—
291C22×D292C2311yescharacteristic
292C22×D292C2311yescharacteristic
293C22×C22⋊D73C2312yes—
294C22×C22⋊D73C2312yes—
295C22×C22⋊D73C2312yes—
296C22×C22⋊D73C2312yes—
297C22×C22⋊D73C2314yes—
298C2×D4×D73C2314yes—
299C2×D4×D73C2314yes—
300C2×D4×D73C2312yes—
301C23×Dic73C2312yes—
302C22×C4×D73C2312yes—
303C22×C4×D73C2314yes—
304C22×C4×D73C2312yes—
305#14556590C2312yes—
306#14556590C2312yes—
307#14556590C2314yes—
308#14556590C2314yes—
309#14556590C2314yes—
310#14556589C2311yescharacteristic
311#14556589C2311yescharacteristic
312#14556589C2312yes—
313#14556589C2312yes—
314#14556589C2311yescharacteristic
315#14556589C2311yescharacteristic
316#14556589C2312yes—
317#14556589C2312yes—
318#14556589C2312yes—
319#14556589C2314yes—
320#14556587C2311yescharacteristic
321#14556587C2312yes—
322#14556587C2312yes—
323#14556587C2311yescharacteristic
324#14556587C2311yescharacteristic
325#14556587C2311yescharacteristic
326#14556587C2312yes—
327#14556587C2312yes—
328#14556587C2312yes—
329#14556587C2314yes—
330#14556587C2314yes—
331#14556587C2314yes—
332#14556587C2314yes—
333#14556586C2314yes—
334#14556586C2314yes—
335#14556586C2314yes—
336#14556586C2314yes—
337#14556586C2314yes—
338#14556586C2314yes—
339#14556585C2314yes—
340#14556585C2314yes—
341#14556584C2314yes—
342#14556584C2314yes—
343#14556584C2314yes—
344#14556584C2314yes—
345#14556584C2314yes—
346#14556584C2314yes—
347#14556584C2314yes—
348#14556584C2314yes—
349#14556583C2314yes—
350#14556582C2312yes—
351#14556582C2312yes—
352#14556582C2314yes—
353#14556581C2314yes—
354#14556581C2314yes—
355#14556581C2314yes—
356#14556581C2314yes—
357#14556581C2314yes—
358#14556581C2314yes—
359#14556580C2312yes—
360#14556580C2311yescharacteristic
361#14556580C2311yescharacteristic
362#14556580C2312yes—
363#14556580C2312yes—
364#14556580C2311yescharacteristic
365#14556580C2311yescharacteristic
366#14556580C2312yes—
367#14556580C2312yes—
368#14556580C2314yes—
369#14556579C2314yes—
370#14556578C2311yescharacteristic
371#14556578C2311yescharacteristic
372#14556578C2312yes—
373#14556578C2312yes—
374#14556578C2312yes—
375#14556578C2311yescharacteristic
376#14556578C2311yescharacteristic
377#14556578C2312yes—
378#14556578C2312yes—
379#14556578C2314yes—
380#14556578C2314yes—
381#14556577C2314yes—
382#14556577C2314yes—
383#14556577C2314yes—
384#14556577C2314yes—
385#14556577C2314yes—
386#14556577C2314yes—
387#14556577C2314yes—
388#14556577C2314yes—
389#14556577C2314yes—
390#14556577C2314yes—
391#14556577C2314yes—
392#14556577C2314yes—
393#14556576C2314yes—
394#14556576C2314yes—
395#14556576C2314yes—
396#14556576C2314yes—
397#14556576C2314yes—
398#14556576C2314yes—
399#14556575C2314yes—
400#14556575C2314yes—
401#14556575C2314yes—
402#14556575C2314yes—
403#14556575C2314yes—
404#14556574C2314yes—
405#14556574C2314yes—
406#14556574C2314yes—
407#14556574C2314yes—
408#14556574C2314yes—
409#14556574C2314yes—
410#14556573C2314yes—
411#14556573C2314yes—
412#14556573C2314yes—
413#14556573C2314yes—
414#14556573C2314yes—
415#14556573C2314yes—
416#14556573C2314yes—
417#14556573C2314yes—
418#14556572C2312yes—
419#14556572C2312yes—
420#14556572C2312yes—
421#14556572C2312yes—
422#14556572C2314yes—
423#14556572C2314yes—
424#14556572C2314yes—
425#14556572C2314yes—
426#14556572C2314yes—
427#14556572C2314yes—
428#14556572C2314yes—
429#14556571C2312yes—
430#14556571C2312yes—
431#14556571C2314yes—
432#14556570C2314yes—
433#14556570C2312yes—
434#14556570C2312yes—
435#14556570C2312yes—
436#14556570C2312yes—
437#14556570C2314yes—
438#14556570C2314yes—
439#14556569C2314yes—
440#14556569C2314yes—
441#14556569C2314yes—
442#14556569C2314yes—
443#14556569C2314yes—
444#14556569C2314yes—
445#14556568C2314yes—
446#14556568C2314yes—
447#14556568C2314yes—
448#14556568C2314yes—
449#14556568C2314yes—
450#14556568C2314yes—
451#14556568C2314yes—
452#14556568C2314yes—
453#14556568C2314yes—
454#14556568C2314yes—
455#14556567C2312yes—
456#14556567C2312yes—
457#14556567C2314yes—
458#14556567C2314yes—
459#14556567C2314yes—
460#14556567C2314yes—
461#14556566C2314yes—
462#14556566C2314yes—
463#14556566C2314yes—
464#14556566C2312yes—
465#14556566C2312yes—
466#14556565C2314yes—
467#14556565C2312yes—
468#14556565C2312yes—
469#14556565C2312yes—
470#14556565C2312yes—
471#14556565C2314yes—
472#14556565C2314yes—
473#14556564C2314yes—
474#14556564C2314yes—
475#14556564C2314yes—
476#14556564C2314yes—
477#14556564C2314yes—
478#14556564C2314yes—
479#14556564C2314yes—
480#14556564C2314yes—
481#14556564C2314yes—
482#14556564C2314yes—
483#14556564C2314yes—
484#14556564C2314yes—
485#14556563C2314yes—
486#14556563C2314yes—
487#14556563C2312yes—
488#14556563C2312yes—
489#14556563C2312yes—
490#14556563C2312yes—
491#14556563C2314yes—
492#14556563C2314yes—
493#14556563C2312yes—
494#14556563C2312yes—
495#14556563C2312yes—
496#14556563C2312yes—
497#14556563C2312yes—
498#14556563C2312yes—
499#14556563C2312yes—
500#14556563C2312yes—
501#14556563C2312yes—
502#14556563C2312yes—
503#14556563C2312yes—
504#14556563C2312yes—
505#14556563C2314yes—
506#14556563C2314yes—
507#14556563C2314yes—
508#14556563C2314yes—
509#14556563C2314yes—
510#14556563C2314yes—
511#14556563C2314yes—
512#14556563C2314yes—
513#14556563C2314yes—
514#14556563C2314yes—
515#14556563C2314yes—
516#14556563C2314yes—
517#14556563C2314yes—
518#14556563C2314yes—
519#14556562C2314yes—
520#14556562C2314yes—
521#14556562C2314yes—
522#14556562C2312yes—
523#14556562C2312yes—
524#14556562C2314yes—
525#14556562C2314yes—
526#14556562C2314yes—
527#14556562C2314yes—
528#14556562C2314yes—
529#14556561C2314yes—
530#14556561C2314yes—
531#14556561C2314yes—
532#14556561C2314yes—
533#14556561C2314yes—
534#14556560C2314yes—
535#14556560C2314yes—
536#14556560C2314yes—
537#14556560C2314yes—
538#14556559C2312yes—
539#14556559C2312yes—
540#14556559C2312yes—
541#14556559C2312yes—
542#14556559C2314yes—
543#14556559C2314yes—
544#14556559C2314yes—
545#14556559C2314yes—
546#14556559C2314yes—
547#14556559C2314yes—
548#14556559C2314yes—
549Q8×Dic73C2312yes—
550Q8×Dic73C2312yes—
551C4×Dic146C2314yes—
552C4×Dic146C2314yes—
553C4×Dic146C2314yes—
554#14556556C2314yes—
555#14556556C2312yes—
556#14556556C2312yes—
557#14556556C2314yes—
558#14556556C2314yes—
559C4×D292C2314yes—
560C4×D292C2314yes—
561C4×D292C2314yes—
562D4×Dic73C2312yes—
563D4×Dic73C2312yes—
564D4×Dic73C2314yes—
565D4×Dic73C2314yes—
566D4×Dic73C2314yes—
567D4×Dic73C2314yes—
568D4×Dic73C2314yes—
569D4×Dic73C2314yes—
570#14556553C2312yes—
571#14556553C2312yes—
572#14556553C2314yes—
573C4×C22⋊D73C2312yes—
574C4×C22⋊D73C2314yes—
575C4×C22⋊D73C2314yes—
576C4×C22⋊D73C2312yes—
577C4×C22⋊D73C2312yes—
578C4×C22⋊D73C2312yes—
579C4×C22⋊D73C2312yes—
580C4×C22⋊D73C2314yes—
581C4×C22⋊D73C2312yes—
582C4×C22⋊D73C2312yes—
583C4×C22⋊D73C2312yes—
584C4×C22⋊D73C2312yes—
585C4×C22⋊D73C2312yes—
586C4×C22⋊D73C2312yes—
587C4×C22⋊D73C2312yes—
588C4×C22⋊D73C2312yes—
589C4×C22⋊D73C2312yes—
590C4×C22⋊D73C2312yes—
591C4×C22⋊D73C2312yes—
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—
603#14556551C2314yes—
604#14556551C2314yes—
605#14556551C2314yes—
606#14556551C2314yes—
607#14556551C2314yes—
608#14556551C2314yes—
609#14556551C2314yes—
610#14556551C2314yes—
611#14556551C2314yes—
612#14556551C2314yes—
613#14556550C2312yes—
614#14556550C2311yescharacteristic
615#14556550C2311yescharacteristic
616#14556550C2312yes—
617#14556550C2314yes—
618#14556550C2312yes—
619#14556550C2314yes—
620#14556549C2314yes—
621#14556549C2314yes—
622#14556549C2312yes—
623#14556549C2312yes—
624#14556549C2314yes—
625#14556548C2314yes—
626#14556548C2314yes—
627#14556548C2314yes—
628#14556548C2314yes—
629#14556547C2314yes—
630#14556547C2314yes—
631#14556547C2314yes—
632#14556547C2314yes—
633#14556547C2314yes—
634#14556547C2314yes—
635#14556547C2314yes—
636C2×C4⋊Dic73C2312yes—
637C2×#11924007C2312yes—
638C2×#11924007C2312yes—
639C2×#11924007C2314yes—
640C4⋊C4×D73C2312yes—
641C4⋊C4×D73C2312yes—
642C4⋊C4×D73C2314yes—
643C2×C22⋊Dic73C2312yes—
644C2×C22⋊Dic73C2314yes—
645C2×C22⋊Dic73C2312yes—
646C2×C22⋊Dic73C2312yes—
647C2×#11924005C2314yes—
648C2×#11924005C2312yes—
649C2×#11924005C2312yes—
650C22⋊C4×D73C2314yes—
651C22⋊C4×D73C2314yes—
652C22⋊C4×D73C2314yes—
653C2×C4×Dic73C2311yescharacteristic
654C2×C4×Dic73C2312yes—
655C2×C4×Dic73C2311yescharacteristic
656C2×C4×Dic73C2311yescharacteristic
657C2×C4×Dic73C2311yescharacteristic
658C2×C4×Dic73C2312yes—
659C2×C4×Dic73C2312yes—
660C2×C4×Dic73C2311yescharacteristic
661C2×C4×Dic73C2312yes—
662C2×C4×Dic73C2314yes—
663C2×C4×Dic73C2311yescharacteristic
664C42×D73C2314yes—
665C42×D73C2314yes—
666C2×#41×C73—44no—
667C2×#41×C73—44no—
668C2×#41×C73C2312yes—
669C2×#41×C73C2311yescharacteristic
670C2×#41×C73C2311yescharacteristic
671C2×#41×C73C2311yescharacteristic
672C2×#41×C73C2311yescharacteristic
673C2×#41×C73C2311yescharacteristic
674C2×#41×C73C2311yescharacteristic
675C2×#41×C73C2311yescharacteristic
676C2×#41×C73C2311yescharacteristic
677C2×#41×C73C2312yes—
678C2×#41×C73C2312yes—
679C2×#41×C73C2312yes—
680C22×Q8×C73C2311yescharacteristic
681C22×Q8×C73C2311yescharacteristic
682C22×D4×C73C2311yescharacteristic
683C22×D4×C73C2311yescharacteristic
684C22×D4×C73C2311yescharacteristic
685C22×D4×C73C2312yes—
686C22×D4×C73C2311yescharacteristic
687C23×C4×C73C2311yescharacteristic
688C23×C4×C73C2311yescharacteristic
689C23×C4×C73C2311yescharacteristic
690C23×C4×C73C2312yes—
691C4⋊Q8×C73C2312yes—
692C4⋊Q8×C73C2312yes—
693#127×C73C2312yes—
694#127×C73C2312yes—
695#124×C73C2312yes—
696#124×C73C2312yes—
697#124×C73C2312yes—
698#124×C73C2312yes—
699#123×C73C2314yes—
700#123×C73C2312yes—
701#123×C73C2312yes—
702#123×C73C2314yes—
703#123×C73C2312yes—
704#123×C73C2312yes—
705C22⋊Q8×C73C2312yes—
706C22⋊Q8×C73C2312yes—
707C22⋊Q8×C73C2314yes—
708C22⋊Q8×C73C2312yes—
709C22⋊Q8×C73C2312yes—
710C22⋊Q8×C73C2314yes—
711#121×C73C2312yes—
712#121×C73C2312yes—
713#121×C73C2314yes—
714#121×C73C2314yes—
715#121×C73C2314yes—
716#121×C73C2312yes—
717#121×C73C2314yes—
718#121×C73C2312yes—
719#121×C73C2314yes—
720#121×C73C2314yes—
721#120×C73C2314yes—
722#120×C73C2312yes—
723#120×C73C2312yes—
724#120×C73C2314yes—
725#120×C73C2312yes—
726#120×C73C2312yes—
727C4×D4×C73C2314yes—
728C4×D4×C73C2314yes—
729C4×D4×C73C2314yes—
730C4×D4×C73C2314yes—
731#117×C73C2312yes—
732#117×C73C2312yes—
733#117×C73C2312yes—
734#117×C73C2311yescharacteristic
735#117×C73C2311yescharacteristic
736C2×C4⋊C4×C73C2312yes—
737C2×C22⋊C4×C73C2312yes—
738C2×C42×C73C2312yes—
739C23×D73C2412yes—
740C23×D73C2412yes—
741C23×D73C2414yes—
742#11924029—44no—
743#11924028—28no—
744#11924028—48no—
745#11924028—44no—
746#11924028—48no—
747#11924028—42no—
748#11924028—44no—
749#11924028—42no—
750#11924028—44no—
751#11924028—42no—
752#11924028—42no—
753#11924028—44no—
754#11924028—44no—
755#11924027—44no—
756#11924027—48no—
757#11924027—48no—
758#11924027—48no—
759#11924027—48no—
760C2×Dic146—42no—
761C2×Dic146—42no—
762C2×Dic146C2414yes—
763C2×Dic146C2412yes—
764C2×Dic146C2414yes—
765C2×Dic146C2411yescharacteristic
766C2×Dic146C2412yes—
767C2×Dic146C2412yes—
768C2×Dic146C2414yes—
769C2×Dic146C2411yescharacteristic
770Q8×D73—44no—
771C2×D292—42no—
772C2×D292—42no—
773C2×D292C2412yes—
774C2×D292C2414yes—
775C2×D292C2414yes—
776C2×D292C2411yescharacteristic
777C2×D292C2412yes—
778C2×D292C2412yes—
779C2×D292C2414yes—
780C2×D292C2411yescharacteristic
781C2×C22⋊D73—44no—
782C2×C22⋊D73—44no—
783C2×C22⋊D73—48no—
784C2×C22⋊D73—44no—
785C2×C22⋊D73—44no—
786C2×C22⋊D73C2412yes—
787C2×C22⋊D73C2414yes—
788C2×C22⋊D73C2412yes—
789C2×C22⋊D73C2414yes—
790C2×C22⋊D73C2412yes—
791C2×C22⋊D73C2412yes—
792C2×C22⋊D73C2414yes—
793C2×C22⋊D73C2414yes—
794C2×C22⋊D73C2414yes—
795C2×C22⋊D73C2414yes—
796C2×C22⋊D73C2414yes—
797C2×C22⋊D73C2414yes—
798C2×C22⋊D73C2412yes—
799C2×C22⋊D73C2412yes—
800C2×C22⋊D73C2414yes—
801C2×C22⋊D73C2412yes—
802C2×C22⋊D73C2412yes—
803C2×C22⋊D73C2412yes—
804C2×C22⋊D73C2412yes—
805C2×C22⋊D73C2414yes—
806C2×C22⋊D73C2414yes—
807C2×C22⋊D73C2414yes—
808C2×C22⋊D73C2412yes—
809C2×C22⋊D73C2412yes—
810D4×D73—44no—
811D4×D73—48no—
812D4×D73—48no—
813C22×Dic73—44no—
814C22×Dic73C2412yes—
815C22×Dic73C2412yes—
816C22×Dic73C2412yes—
817C22×Dic73C2414yes—
818C22×Dic73C2412yes—
819C22×Dic73C2412yes—
820C22×Dic73C2412yes—
821C22×Dic73C2412yes—
822C22×Dic73C2414yes—
823C22×Dic73C2414yes—
824C22×Dic73C2414yes—
825C22×Dic73C2412yes—
826C2×C4×D73—28no—
827C2×C4×D73—48no—
828C2×C4×D73—44no—
829C2×C4×D73C2412yes—
830C2×C4×D73C2414yes—
831C2×C4×D73C2414yes—
832C2×C4×D73C2412yes—
833C2×C4×D73C2412yes—
834C2×C4×D73C2412yes—
835C2×C4×D73C2414yes—
836C2×C4×D73C2414yes—
837C2×C4×D73C2414yes—
838C2×C4×D73C2414yes—
839C2×C4×D73C2414yes—
840C2×C4×D73C2414yes—
841C4⋊Dic73C2412yes—
842C4⋊Dic73C2412yes—
843C4⋊Dic73C2414yes—
844C4⋊Dic73C2414yes—
845C4⋊Dic73C2414yes—
846C4⋊Dic73C2414yes—
847C4⋊Dic73C2414yes—
848C4⋊Dic73C2414yes—
849C4⋊Dic73C2414yes—
850#11924007C2412yes—
851#11924007C2414yes—
852#11924007C2414yes—
853#11924007C2414yes—
854#11924007C2412yes—
855#11924007C2412yes—
856#11924007C2412yes—
857#11924007C2412yes—
858#11924007C2412yes—
859#11924007C2412yes—
860#11924007C2412yes—
861#11924007C2414yes—
862#11924007C2414yes—
863#11924007C2414yes—
864#11924007C2414yes—
865#11924007C2414yes—
866#11924007C2414yes—
867#11924007C2414yes—
868#11924007C2414yes—
869#11924007C2414yes—
870#11924007C2414yes—
871#11924007C2414yes—
872#11924007C2414yes—
873#11924007C2414yes—
874C22⋊Dic73C2412yes—
875C22⋊Dic73C2414yes—
876C22⋊Dic73C2414yes—
877C22⋊Dic73C2412yes—
878C22⋊Dic73C2412yes—
879C22⋊Dic73C2412yes—
880C22⋊Dic73C2412yes—
881C22⋊Dic73C2412yes—
882C22⋊Dic73C2412yes—
883C22⋊Dic73C2414yes—
884C22⋊Dic73C2414yes—
885C22⋊Dic73C2412yes—
886C22⋊Dic73C2412yes—
887C22⋊Dic73C2412yes—
888C22⋊Dic73C2414yes—
889C22⋊Dic73C2414yes—
890C22⋊Dic73C2414yes—
891C22⋊Dic73C2414yes—
892C22⋊Dic73C2414yes—
893C22⋊Dic73C2414yes—
894C22⋊Dic73C2414yes—
895#11924005C2412yes—
896#11924005C2414yes—
897#11924005C2414yes—
898#11924005C2414yes—
899#11924005C2414yes—
900#11924005C2414yes—
901#11924005C2412yes—
902#11924005C2412yes—
903#11924005C2412yes—
904#11924005C2412yes—
905#11924005C2414yes—
906#11924005C2414yes—
907#11924005C2412yes—
908#11924005C2412yes—
909#11924005C2412yes—
910#11924005C2414yes—
911#11924005C2414yes—
912#11924005C2414yes—
913#11924005C2414yes—
914#11924005C2414yes—
915#11924005C2414yes—
916#11924005C2414yes—
917#11924005C2414yes—
918#11924005C2414yes—
919C4×Dic73C2412yes—
920C4×Dic73C2414yes—
921C4×Dic73C2414yes—
922C4×Dic73C2414yes—
923C4×Dic73C2414yes—
924C4×Dic73C2414yes—
925C4×Dic73C2411yescharacteristic
926C4×Dic73C2412yes—
927C4×Dic73C2412yes—
928C4×Dic73C2411yescharacteristic
929C4×Dic73C2412yes—
930C4×Dic73C2412yes—
931C4×Dic73C2412yes—
932C4×Dic73C2411yescharacteristic
933C4×Dic73C2411yescharacteristic
934C4×Dic73C2412yes—
935C4×Dic73C2414yes—
936C4×Dic73C2414yes—
937C4×Dic73C2412yes—
938C24×C73C2411yescharacteristic
939C24×C73C2411yescharacteristic
940C24×C73C2411yescharacteristic
941C24×C73C2412yes—
942#41×C73—28no—
943#41×C73—42no—
944#41×C73—42no—
945#41×C73—42no—
946#41×C73—42no—
947#41×C73—42no—
948#41×C73—42no—
949#41×C73—42no—
950#41×C73—42no—
951#41×C73—44no—
952#41×C73—44no—
953#41×C73—44no—
954C2×Q8×C73—42no—
955C2×Q8×C73—42no—
956C2×Q8×C73C2412yes—
957C2×Q8×C73C2411yescharacteristic
958C2×Q8×C73C2411yescharacteristic
959C2×Q8×C73C2411yescharacteristic
960C2×Q8×C73C2412yes—
961C2×Q8×C73C2411yescharacteristic
962C2×D4×C73—42no—
963C2×D4×C73—42no—
964C2×D4×C73—42no—
965C2×D4×C73—42no—
966C2×D4×C73—44no—
967C2×D4×C73C2414yes—
968C2×D4×C73C2412yes—
969C2×D4×C73C2414yes—
970C2×D4×C73C2414yes—
971C2×D4×C73C2414yes—
972C2×D4×C73C2414yes—
973C2×D4×C73C2411yescharacteristic
974C2×D4×C73C2411yescharacteristic
975C2×D4×C73C2411yescharacteristic
976C2×D4×C73C2411yescharacteristic
977C2×D4×C73C2411yescharacteristic
978C2×D4×C73C2411yescharacteristic
979C2×D4×C73C2414yes—
980C2×D4×C73C2411yescharacteristic
981C2×D4×C73C2411yescharacteristic
982C2×D4×C73C2411yescharacteristic
983C2×D4×C73C2411yescharacteristic
984C2×D4×C73C2411yescharacteristic
985C2×D4×C73C2412yes—
986C2×D4×C73C2411yescharacteristic
987C22×C4×C73—24no—
988C22×C4×C73—24no—
989C22×C4×C73—24no—
990C22×C4×C73—44no—
991C22×C4×C73C2411yescharacteristic
992C22×C4×C73C2411yescharacteristic
993C22×C4×C73C2411yescharacteristic
994C22×C4×C73C2411yescharacteristic
995C22×C4×C73C2411yescharacteristic
996C22×C4×C73C2411yescharacteristic
997C22×C4×C73C2411yescharacteristic
998C22×C4×C73C2411yescharacteristic
999C22×C4×C73C2414yes—
1000C22×C4×C73C2411yescharacteristic
1001C22×C4×C73C2411yescharacteristic
1002C22×C4×C73C2411yescharacteristic
1003C22×C4×C73C2411yescharacteristic
1004C22×C4×C73C2411yescharacteristic
1005C22×C4×C73C2411yescharacteristic
1006C22×C4×C73C2411yescharacteristic
1007C22×C4×C73C2414yes—
1008C22×C4×C73C2414yes—
1009C22×C4×C73C2412yes—
1010C22×C4×C73C2411yescharacteristic
1011C4⋊C4×C73C2412yes—
1012C4⋊C4×C73C2412yes—
1013C4⋊C4×C73C2414yes—
1014C4⋊C4×C73C2414yes—
1015C4⋊C4×C73C2414yes—
1016C4⋊C4×C73C2414yes—
1017C4⋊C4×C73C2414yes—
1018C22⋊C4×C73C2414yes—
1019C22⋊C4×C73C2412yes—
1020C22⋊C4×C73C2412yes—
1021C22⋊C4×C73C2414yes—
1022C22⋊C4×C73C2414yes—
1023C22⋊C4×C73C2414yes—
1024C22⋊C4×C73C2414yes—
1025C22⋊C4×C73C2414yes—
1026C22⋊C4×C73C2414yes—
1027C22⋊C4×C73C2414yes—
1028C22⋊C4×C73C2414yes—
1029C42×C73C2414yes—
1030C42×C73C2412yes—
1031C42×C73C2412yes—
1032C23×C73—22no—
1033C23×C73—22no—
1034C23×C73—22no—
1035C23×C73—42no—
1036C23×C73—42no—
1037C23×C73—42no—
1038C23×C73—42no—
1039C23×C73—44no—
1040C23×C73C2511yescharacteristic
1041C23×C73C2511yescharacteristic
1042C23×C73C2514yes—
1043C23×C73C2511yescharacteristic
1044C23×C73C2511yescharacteristic
1045C23×C73C2511yescharacteristic
1046C23×C73C2511yescharacteristic
1047C23×C73C2511yescharacteristic
1048C22×D73—24no—
1049C22×D73—44no—
1050C22×D73—42no—
1051C22×D73—44no—
1052C22×D73—44no—
1053C22×D73—42no—
1054C22×D73—42no—
1055C22×D73—44no—
1056C22×D73C2512yes—
1057C22×D73C2514yes—
1058C22×D73C2512yes—
1059Q8×C73—24no—
1060Q8×C73—41no—
1061Q8×C73—41no—
1062Q8×C73—41no—
1063Q8×C73—41no—
1064Q8×C73—42no—
1065D4×C73—28no—
1066D4×C73—24no—
1067D4×C73—41no—
1068D4×C73—41no—
1069D4×C73—41no—
1070D4×C73—41no—
1071D4×C73—41no—
1072D4×C73—41no—
1073D4×C73—44no—
1074D4×C73—41no—
1075D4×C73—41no—
1076D4×C73—41no—
1077D4×C73—41no—
1078D4×C73—41no—
1079D4×C73—42no—
1080D4×C73—41no—
1081D4×C73—44no—
1082D4×C73—44no—
1083D4×C73—44no—
1084D4×C73—44no—
1085C2×C4×C73—22no—
1086C2×C4×C73—22no—
1087C2×C4×C73—22no—
1088C2×C4×C73—22no—
1089C2×C4×C73—22no—
1090C2×C4×C73—22no—
1091C2×C4×C73—22no—
1092C2×C4×C73—22no—
1093C2×C4×C73—22no—
1094C2×C4×C73—22no—
1095C2×C4×C73—22no—
1096C2×C4×C73—22no—
1097C2×C4×C73—22no—
1098C2×C4×C73—22no—
1099C2×C4×C73—22no—
1100C2×C4×C73—28no—
1101C2×C4×C73—42no—
1102C2×C4×C73—44no—
1103C2×C4×C73—44no—
1104C2×C4×C73H(5,𝔽2)14yes—
1105C2×C4×C73C2511yescharacteristic
1106C2×C4×C73C2514yes—
1107C2×C4×C73C2514yes—
1108C2×C4×C73C2511yescharacteristic
1109C2×C4×C73C2511yescharacteristic
1110C2×C4×C73C2511yescharacteristic
1111C2×C4×C73C2514yes—
1112C2×C4×C73C2511yescharacteristic
1113C2×C4×C73C2511yescharacteristic
1114C2×C4×C73C2511yescharacteristic
1115C2×C4×C73C2511yescharacteristic
1116C22⋊D73—28no—
1117C22⋊D73—24no—
1118C22⋊D73—28no—
1119C22⋊D73—24no—
1120C22⋊D73—24no—
1121C22⋊D73—24no—
1122C22⋊D73—44no—
1123C22⋊D73—44no—
1124C22⋊D73—44no—
1125C22⋊D73—44no—
1126C22⋊D73—42no—
1127C22⋊D73—42no—
1128C22⋊D73—42no—
1129C22⋊D73—42no—
1130C22⋊D73—44no—
1131C22⋊D73—42no—
1132C22⋊D73—42no—
1133C22⋊D73—42no—
1134C22⋊D73—42no—
1135C22⋊D73—44no—
1136C22⋊D73—44no—
1137C22⋊D73—44no—
1138C22⋊D73—44no—
1139C22⋊D73—44no—
1140C2×Dic73—24no—
1141C2×Dic73—24no—
1142C2×Dic73—24no—
1143C2×Dic73—24no—
1144C2×Dic73—28no—
1145C2×Dic73—42no—
1146C2×Dic73—44no—
1147C2×Dic73—42no—
1148C2×Dic73—42no—
1149C2×Dic73—42no—
1150C2×Dic73—44no—
1151C2×Dic73—44no—
1152C2×Dic73C2512yes—
1153C2×Dic73C2512yes—
1154C2×Dic73C2514yes—
1155C2×Dic73C2514yes—
1156C2×Dic73C2512yes—
1157C2×Dic73C2512yes—
1158C2×Dic73C2514yes—
1159C2×Dic73C2512yes—
1160C2×Dic73C2512yes—
1161D292—24no—
1162D292—44no—
1163D292—44no—
1164D292—41no—
1165D292—42no—
1166D292—41no—
1167D292—42no—
1168D292—44no—
1169C4×D73—24no—
1170C4×D73—24no—
1171C4×D73—24no—
1172C4×D73—24no—
1173C4×D73—28no—
1174C4×D73—28no—
1175C4×D73—44no—
1176C4×D73—44no—
1177C4×D73—44no—
1178C4×D73—44no—
1179C4×D73—44no—
1180C4×D73—44no—
1181Dic146—24no—
1182Dic146—28no—
1183Dic146—44no—
1184Dic146—42no—
1185Dic146—41no—
1186Dic146—42no—
1187Dic146—41no—
1188Dic146—44no—
1189C22×C73—22no—
1190C22×C73—21no—
1191C22×C73—24no—
1192C22×C73—21no—
1193C22×C73—21no—
1194C22×C73—21no—
1195C22×C73—21no—
1196C22×C73—21no—
1197C22×C73—22no—
1198C22×C73—22no—
1199C22×C73—24no—
1200C22×C73—22no—
1201C22×C73—24no—
1202C22×C73—22no—
1203C22×C73—22no—
1204C22×C73—22no—
1205C22×C73—44no—
1206C22×C73—82no—
1207C22×C73—82no—
1208C22×C73—84no—
1209C22×C73C2×H(5,𝔽2)12yes—
1210C22×C73C2611yescharacteristic
1211C2×D73—22no—
1212C2×D73—22no—
1213C2×D73—24no—
1214C2×D73—24no—
1215C2×D73—22no—
1216C2×D73—22no—
1217C2×D73—24no—
1218C2×D73—22no—
1219C2×D73—22no—
1220C2×D73—84no—
1221C2×D73—84no—
1222C2×D73—88no—
1223C4×C73—21no—
1224C4×C73—21no—
1225C4×C73—21no—
1226C4×C73—24no—
1227C4×C73—21no—
1228C4×C73—21no—
1229C4×C73—21no—
1230C4×C73—24no—
1231C4×C73—24no—
1232C4×C73C2×H(5,𝔽2)12yes—
1233C4×C73C2×H(5,𝔽2)12yes—
1234Dic73—24no—
1235Dic73—22no—
1236Dic73—22no—
1237Dic73—24no—
1238Dic73—22no—
1239Dic73—24no—
1240Dic73—22no—
1241Dic73—22no—
1242Dic73#58514yes—
1243#62759—731nomaximal, Sylow
1244C2×C73—22no—
1245C2×C73—41no—
1246C2×C73—44no—
1247C2×C73—41no—
1248C2×C73—41no—
1249C2×C73—41no—
1250C2×C73—41no—
1251C2×C73—41no—
1252C2×C73C22×H(5,𝔽2)11yescharacteristic
1253C2×C73C2×#58512yes—
1254D73—42no—
1255D73—44no—
1256D73—42no—
1257#3551—732no—
1258#3551—731no—
1259#3551—731no—
1260#3550—731no—
1261#3549—731no—
1262#3548—732no—
1263#3547—732no—
1264#3547—732no—
1265#3546—732no—
1266#3546—732no—
1267#3545—732no—
1268#3545—732no—
1269#3544—732no—
1270#3543—732no—
1271#3542—734no—
1272#3542—734no—
1273#3529—732no—
1274#3529—732no—
1275#3483—732no—
1276#3481—732no—
1277#3475—732no—
1278#3475—732no—
1279D4×#41—732no—
1280D4×#41—732no—
1281#3460—734no—
1282#3460—734no—
1283#3449—731no—
1284#3449—732no—
1285#3449D7311yescharacteristic, complemented
1286#3444—732no—
1287C2×#532—731no—
1288C73#6275911yescharacteristic, complemented, Sylow
1289C22×#41—732no—
1290C22×#41—731no—
1291C22×#41—731no—
1292C22×#41C2×D7311yescharacteristic, complemented
1293C22×#41C2×D7311yescharacteristic, complemented
1294#563—732no—
1295#563—732no—
1296#563—732no—
1297#563—732no—
1298#563—734no—
1299#562—734no—
1300#562—734no—
1301#562—734no—
1302#562—734no—
1303#562—734no—
1304#562—734no—
1305H(3,𝔽4)—732no—
1306H(3,𝔽4)—732no—
1307#560—734no—
1308#560—732no—
1309#560—734no—
1310#560—734no—
1311#560—734no—
1312#560—734no—
1313#560—732no—
1314#559—732no—
1315Q82—732no—
1316#556—732no—
1317#556—732no—
1318#555—732no—
1319#555—734no—
1320#555—732no—
1321#555—732no—
1322#555—732no—
1323#555—734no—
1324#555—734no—
1325#555—732no—
1326#554—732no—
1327#554—734no—
1328#554—732no—
1329#553—734no—
1330#553—732no—
1331#553—732no—
1332#553—734no—
1333#553—732no—
1334#553—732no—
1335#552—734no—
1336#552—732no—
1337#552—732no—
1338#552—734no—
1339#552—732no—
1340#552—732no—
1341#551—734no—
1342#551—732no—
1343#551—734no—
1344#551—734no—
1345#551—732no—
1346#551—734no—
1347#551—734no—
1348#550—732no—
1349#550—734no—
1350#550—732no—
1351#550—734no—
1352#550—734no—
1353D4×Q8—732no—
1354D4×Q8—732no—
1355#548—732no—
1356#548—732no—
1357#548—732no—
1358#548—732no—
1359#547—734no—
1360#547—732no—
1361#547—734no—
1362#547—732no—
1363#547—732no—
1364#547—732no—
1365#546—734no—
1366#546—732no—
1367#546—734no—
1368#546—732no—
1369#546—734no—
1370#546—732no—
1371#546—734no—
1372#546—732no—
1373#546—734no—
1374#546—734no—
1375#546—734no—
1376#546—734no—
1377D42—734no—
1378D42—732no—
1379D42—732no—
1380D42—734no—
1381D42—732no—
1382#544—734no—
1383#544—734no—
1384#542—734no—
1385#542—734no—
1386#542—734no—
1387#542—734no—
1388#542—734no—
1389#542—734no—
1390#542—734no—
1391#542—734no—
1392#540—734no—
1393#540—734no—
1394#540—734no—
1395#540—734no—
1396#540—734no—
1397#540—734no—
1398#540—734no—
1399#540—734no—
1400#538—734no—
1401#538—734no—
1402#538—734no—
1403#538—734no—
1404#538—734no—
1405#538—734no—
1406#538—734no—
1407#538—734no—
1408#537—732no—
1409#537—732no—
1410#537—732no—
1411#537—732no—
1412#537—734no—
1413#537—732no—
1414#537—732no—
1415#537—734no—
1416#537C2×D7312yescomplemented
1417#537C2×D7312yescomplemented
1418#536—731no—
1419#536—731no—
1420#536—732no—
1421#536—734no—
1422#536—732no—
1423#536—732no—
1424#536C2×D7312yescomplemented
1425#536C2×D7311yescharacteristic, complemented
1426#536C2×D7311yescharacteristic, complemented
1427#535—731no—
1428#535—731no—
1429#535—732no—
1430#535—734no—
1431#535—732no—
1432#535—732no—
1433#535—734no—
1434#535—734no—
1435#535—734no—
1436#535—734no—
1437#535C2×D7312yescomplemented
1438#535C2×D7311yescharacteristic, complemented
1439#535C2×D7311yescharacteristic, complemented
1440#534—732no—
1441#534—732no—
1442#534—734no—
1443#534—734no—
1444#534C2×D7312yescomplemented
1445#534C2×D7312yescomplemented
1446#533—732no—
1447#533—732no—
1448#533—732no—
1449#532—731no—
1450#532—731no—
1451#532—732no—
1452#532—732no—
1453#532—732no—
1454#532—731no—
1455#532—731no—
1456#532—731no—
1457#532—732no—
1458#532—732no—
1459#532—731no—
1460#532—731no—
1461#532—731no—
1462#532—732no—
1463#532—732no—
1464#532—734no—
1465#532—732no—
1466#532—732no—
1467#532—734no—
1468#532—734no—
1469#532—734no—
1470#532C2×D7312yescomplemented
1471#532C2×D7312yescomplemented
1472C2×C4⋊Q8—731no—
1473C2×#127—731no—
1474#529—734no—
1475#529—734no—
1476#529—732no—
1477#529—732no—
1478#529—732no—
1479#529—732no—
1480#529—734no—
1481#529—734no—
1482#529—734no—
1483#529—734no—
1484#529—734no—
1485#529—734no—
1486#529—734no—
1487#529—734no—
1488C2×#124—731no—
1489C2×#124—731no—
1490#525—732no—
1491#525—732no—
1492#525—732no—
1493#525—734no—
1494#525—732no—
1495#525—732no—
1496#525—734no—
1497#525—734no—
1498#525—734no—
1499#525—734no—
1500#525—734no—
1501#525—734no—
1502#525—734no—
1503#525—732no—
1504#525C2×D7312yescomplemented
1505#525C2×D7312yescomplemented
1506#525C2×D7312yescomplemented
1507#525C2×D7312yescomplemented
1508C2×#121—732no—
1509C2×#121—732no—
1510C4×#41—732no—
1511C4×#41—734no—
1512C4×#41—734no—
1513C4×#41—734no—
1514C4×#41—732no—
1515C4×#41—734no—
1516C2×C4×D4—732no—
1517C2×C4×D4—732no—
1518C2×C4×D4—734no—
1519C2×C4×D4—734no—
1520C2×#117—731no—
1521C2×#117—732no—
1522C2×#117C2×D7311yescharacteristic, complemented
1523C22×C42—731no—
1524C2×#41—44no—
1525C2×#41—44no—
1526C2×#41—2924no—
1527C2×#41—2924no—
1528C2×#41—2928no—
1529C2×#41—732no—
1530C2×#41—734no—
1531C2×#41—734no—
1532C2×#41—734no—
1533C2×#41—734no—
1534C2×#41—732no—
1535C2×#41—734no—
1536C2×#41—731no—
1537C2×#41—734no—
1538C2×#41—732no—
1539C2×#41—732no—
1540C2×#41—731no—
1541C2×#41—731no—
1542C2×#41—732no—
1543C2×#41—731no—
1544C2×#41—732no—
1545C2×#41—732no—
1546C2×#41—732no—
1547C2×#41C22×D7312yes—
1548C2×#41C22×D7311yescharacteristic
1549C2×#41C22×D7311yescharacteristic
1550C2×#41C22×D7312yes—
1551C2×#41C22×D7311yescharacteristic
1552C2×#41C22×D7311yescharacteristic
1553C2×#41C22×D7311yescharacteristic
1554C2×#41C22×D7311yescharacteristic
1555C2×#41C22×D7311yescharacteristic
1556C2×#41C22×D7311yescharacteristic
1557C2×#41C22×D7312yes—
1558C2×#41C22×D7312yes—
1559C22×Q8—732no—
1560C22×Q8—731no—
1561C22×Q8—731no—
1562C22×Q8C22×D7311yescharacteristic
1563C22×Q8C22×D7311yescharacteristic
1564C22×D4—732no—
1565C22×D4—732no—
1566C22×D4—734no—
1567C22×D4—732no—
1568C22×D4—732no—
1569C22×D4—734no—
1570C22×D4—734no—
1571C22×D4—732no—
1572C22×D4—731no—
1573C22×D4—731no—
1574C22×D4C22×D7311yescharacteristic
1575C22×D4C22×D7311yescharacteristic
1576C22×D4C22×D7311yescharacteristic
1577C22×D4C22×D7312yes—
1578C22×D4C22×D7311yescharacteristic
1579C23×C4—732no—
1580C23×C4—734no—
1581C23×C4—732no—
1582C23×C4—732no—
1583C23×C4C22×D7311yescharacteristic
1584C23×C4C22×D7311yescharacteristic
1585C23×C4C22×D7311yescharacteristic
1586C23×C4C22×D7312yes—
1587C4⋊Q8—732no—
1588C4⋊Q8—732no—
1589C4⋊Q8—731no—
1590C4⋊Q8—731no—
1591C4⋊Q8—731no—
1592C4⋊Q8—731no—
1593C4⋊Q8—732no—
1594C4⋊Q8—732no—
1595C4⋊Q8—732no—
1596C4⋊Q8—734no—
1597C4⋊Q8—732no—
1598C4⋊Q8—732no—
1599C4⋊Q8—734no—
1600C4⋊Q8—734no—
1601C4⋊Q8—734no—
1602C4⋊Q8C22×D7312yes—
1603C4⋊Q8C22×D7312yes—
1604#127—732no—
1605#127—732no—
1606#127—731no—
1607#127—731no—
1608#127—731no—
1609#127—731no—
1610#127—732no—
1611#127—732no—
1612#127—734no—
1613#127—732no—
1614#127—734no—
1615#127—734no—
1616#127—734no—
1617#127C22×D7312yes—
1618#127C22×D7312yes—
1619#126—734no—
1620#126—734no—
1621#126—734no—
1622#126—734no—
1623#126—734no—
1624#126—734no—
1625#126—734no—
1626#126—734no—
1627#126—734no—
1628#126—734no—
1629#126—734no—
1630#126—734no—
1631#126—734no—
1632#126—734no—
1633#126—734no—
1634#126—734no—
1635#125—734no—
1636#125—732no—
1637#125—732no—
1638#125—734no—
1639#125—734no—
1640#125—734no—
1641#125—734no—
1642#125—734no—
1643#125—734no—
1644#125—734no—
1645#124—732no—
1646#124—732no—
1647#124—731no—
1648#124—731no—
1649#124—731no—
1650#124—731no—
1651#124—732no—
1652#124—732no—
1653#124—732no—
1654#124—734no—
1655#124—732no—
1656#124—732no—
1657#124—731no—
1658#124—731no—
1659#124—731no—
1660#124—731no—
1661#124—732no—
1662#124—734no—
1663#124—732no—
1664#124—732no—
1665#124—734no—
1666#124—734no—
1667#124—734no—
1668#124—734no—
1669#124—734no—
1670#124—734no—
1671#124—734no—
1672#124—734no—
1673#124—734no—
1674#124—734no—
1675#124—734no—
1676#124—734no—
1677#124—734no—
1678#124—734no—
1679#124C22×D7312yes—
1680#124C22×D7312yes—
1681#124C22×D7312yes—
1682#124C22×D7312yes—
1683#123—734no—
1684#123—734no—
1685#123—732no—
1686#123—732no—
1687#123—734no—
1688#123—732no—
1689#123—732no—
1690#123—734no—
1691#123—734no—
1692#123—734no—
1693#123—734no—
1694#123—734no—
1695#123—734no—
1696#123—734no—
1697#123—734no—
1698#123—734no—
1699#123—734no—
1700#123—734no—
1701#123—734no—
1702#123—734no—
1703#123—734no—
1704#123—734no—
1705#123—734no—
1706#123—734no—
1707#123—734no—
1708#123—734no—
1709#123—734no—
1710#123—734no—
1711#123—734no—
1712#123—734no—
1713#123—734no—
1714#123—734no—
1715#123—734no—
1716#123—734no—
1717#123—734no—
1718#123—734no—
1719#123C22×D7314yes—
1720#123C22×D7312yes—
1721#123C22×D7312yes—
1722#123C22×D7314yes—
1723#123C22×D7312yes—
1724#123C22×D7312yes—
1725C22⋊Q8—734no—
1726C22⋊Q8—732no—
1727C22⋊Q8—732no—
1728C22⋊Q8—734no—
1729C22⋊Q8—734no—
1730C22⋊Q8—734no—
1731C22⋊Q8—732no—
1732C22⋊Q8—732no—
1733C22⋊Q8—732no—
1734C22⋊Q8—732no—
1735C22⋊Q8—734no—
1736C22⋊Q8—734no—
1737C22⋊Q8—734no—
1738C22⋊Q8—734no—
1739C22⋊Q8—732no—
1740C22⋊Q8—732no—
1741C22⋊Q8—734no—
1742C22⋊Q8—734no—
1743C22⋊Q8—734no—
1744C22⋊Q8—734no—
1745C22⋊Q8—734no—
1746C22⋊Q8—734no—
1747C22⋊Q8—734no—
1748C22⋊Q8—734no—
1749C22⋊Q8—734no—
1750C22⋊Q8—734no—
1751C22⋊Q8—734no—
1752C22⋊Q8—734no—
1753C22⋊Q8—734no—
1754C22⋊Q8—734no—
1755C22⋊Q8—734no—
1756C22⋊Q8—734no—
1757C22⋊Q8C22×D7312yes—
1758C22⋊Q8C22×D7312yes—
1759C22⋊Q8C22×D7314yes—
1760C22⋊Q8C22×D7312yes—
1761C22⋊Q8C22×D7312yes—
1762C22⋊Q8C22×D7314yes—
1763#121—732no—
1764#121—732no—
1765#121—732no—
1766#121—732no—
1767#121—732no—
1768#121—732no—
1769#121—732no—
1770#121—732no—
1771#121—732no—
1772#121—732no—
1773#121—732no—
1774#121—732no—
1775#121—732no—
1776#121—732no—
1777#121—732no—
1778#121—732no—
1779#121—734no—
1780#121—734no—
1781#121—734no—
1782#121—734no—
1783#121—734no—
1784#121—734no—
1785#121—732no—
1786#121—732no—
1787#121—734no—
1788#121—734no—
1789#121—734no—
1790#121—734no—
1791#121—734no—
1792#121—734no—
1793#121—734no—
1794#121—734no—
1795#121—734no—
1796#121—734no—
1797#121—734no—
1798#121—734no—
1799#121—734no—
1800#121—734no—
1801#121—734no—
1802#121—734no—
1803#121—734no—
1804#121—734no—
1805#121—734no—
1806#121—734no—
1807#121—732no—
1808#121—732no—
1809#121—732no—
1810#121—732no—
1811#121—734no—
1812#121—734no—
1813#121—734no—
1814#121—732no—
1815#121—732no—
1816#121—734no—
1817#121—734no—
1818#121—734no—
1819#121—734no—
1820#121—734no—
1821#121—734no—
1822#121—734no—
1823#121—734no—
1824#121—734no—
1825#121—734no—
1826#121—734no—
1827#121—734no—
1828#121—734no—
1829#121—734no—
1830#121—734no—
1831#121C22×D7312yes—
1832#121C22×D7312yes—
1833#121C22×D7314yes—
1834#121C22×D7312yes—
1835#121C22×D7312yes—
1836#121C22×D7314yes—
1837#121C22×D7314yes—
1838#121C22×D7314yes—
1839#121C22×D7314yes—
1840#121C22×D7314yes—
1841#120—734no—
1842#120—734no—
1843#120—734no—
1844#120—734no—
1845#120—732no—
1846#120—732no—
1847#120—734no—
1848#120—734no—
1849#120—732no—
1850#120—732no—
1851#120—734no—
1852#120—734no—
1853#120—734no—
1854#120—734no—
1855#120—734no—
1856#120—734no—
1857#120—734no—
1858#120—734no—
1859#120—734no—
1860#120—734no—
1861#120C22×D7314yes—
1862#120C22×D7312yes—
1863#120C22×D7312yes—
1864#120C22×D7314yes—
1865#120C22×D7312yes—
1866#120C22×D7312yes—
1867C4×Q8—732no—
1868C4×Q8—732no—
1869C4×Q8—734no—
1870C4×Q8—732no—
1871C4×Q8—732no—
1872C4×Q8—734no—
1873C4×Q8—734no—
1874C4×Q8—734no—
1875C4×Q8—734no—
1876C4×Q8—734no—
1877C4×D4—734no—
1878C4×D4—734no—
1879C4×D4—734no—
1880C4×D4—734no—
1881C4×D4—734no—
1882C4×D4—732no—
1883C4×D4—732no—
1884C4×D4—734no—
1885C4×D4—732no—
1886C4×D4—732no—
1887C4×D4—734no—
1888C4×D4—732no—
1889C4×D4—732no—
1890C4×D4—734no—
1891C4×D4—734no—
1892C4×D4—732no—
1893C4×D4—732no—
1894C4×D4—732no—
1895C4×D4—732no—
1896C4×D4—732no—
1897C4×D4—732no—
1898C4×D4—732no—
1899C4×D4—732no—
1900C4×D4—732no—
1901C4×D4—732no—
1902C4×D4—732no—
1903C4×D4—732no—
1904C4×D4—734no—
1905C4×D4—734no—
1906C4×D4—734no—
1907C4×D4—734no—
1908C4×D4—734no—
1909C4×D4—734no—
1910C4×D4—734no—
1911C4×D4—734no—
1912C4×D4—734no—
1913C4×D4—734no—
1914C4×D4—734no—
1915C4×D4—734no—
1916C4×D4—732no—
1917C4×D4—732no—
1918C4×D4—734no—
1919C4×D4—734no—
1920C4×D4—734no—
1921C4×D4—734no—
1922C4×D4—734no—
1923C4×D4—734no—
1924C4×D4—734no—
1925C4×D4—734no—
1926C4×D4—734no—
1927C4×D4—734no—
1928C4×D4—734no—
1929C4×D4—734no—
1930C4×D4—734no—
1931C4×D4C22×D7314yes—
1932C4×D4C22×D7314yes—
1933C4×D4C22×D7314yes—
1934C4×D4C22×D7314yes—
1935#117—732no—
1936#117—732no—
1937#117—732no—
1938#117—731no—
1939#117—731no—
1940#117—734no—
1941#117—734no—
1942#117—732no—
1943#117—732no—
1944#117—734no—
1945#117—734no—
1946#117—734no—
1947#117—734no—
1948#117—734no—
1949#117—734no—
1950#117—734no—
1951#117—734no—
1952#117—734no—
1953#117—734no—
1954#117—734no—
1955#117—734no—
1956#117—734no—
1957#117—734no—
1958#117C22×D7312yes—
1959#117C22×D7312yes—
1960#117C22×D7312yes—
1961#117C22×D7311yescharacteristic
1962#117C22×D7311yescharacteristic
1963C2×C4⋊C4—732no—
1964C2×C4⋊C4—732no—
1965C2×C4⋊C4—732no—
1966C2×C4⋊C4—734no—
1967C2×C4⋊C4—732no—
1968C2×C4⋊C4—732no—
1969C2×C4⋊C4—734no—
1970C2×C4⋊C4C22×D7312yes—
1971C2×C22⋊C4—732no—
1972C2×C22⋊C4—732no—
1973C2×C22⋊C4—732no—
1974C2×C22⋊C4—734no—
1975C2×C22⋊C4—732no—
1976C2×C22⋊C4—732no—
1977C2×C22⋊C4—734no—
1978C2×C22⋊C4—734no—
1979C2×C22⋊C4—734no—
1980C2×C22⋊C4—734no—
1981C2×C22⋊C4C22×D7312yes—
1982C2×C42—732no—
1983C2×C42—732no—
1984C2×C42—734no—
1985C2×C42—731no—
1986C2×C42—732no—
1987C2×C42—731no—
1988C2×C42—731no—
1989C2×C42—731no—
1990C2×C42—731no—
1991C2×C42—732no—
1992C2×C42—731no—
1993C2×C42—734no—
1994C2×C42—734no—
1995C2×C42C22×D7312yes—
1996C24—734no—
1997C24—732no—
1998C24—732no—
1999C24C23×D7311yescharacteristic
2000C24C23×D7311yescharacteristic
2001C24C23×D7311yescharacteristic
2002C24C23×D7312yes—
2003#41—28no—
2004#41—42no—
2005#41—42no—
2006#41—42no—
2007#41—42no—
2008#41—42no—
2009#41—42no—
2010#41—42no—
2011#41—42no—
2012#41—44no—
2013#41—44no—
2014#41—44no—
2015#41—2924no—
2016#41—2924no—
2017#41—2922no—
2018#41—2924no—
2019#41—2924no—
2020#41—2922no—
2021#41—2924no—
2022#41—2922no—
2023#41—2922no—
2024#41—2928no—
2025#41—2928no—
2026#41—2924no—
2027#41—2928no—
2028#41—2928no—
2029#41—2928no—
2030#41—2924no—
2031#41—2928no—
2032#41—1468no—
2033C2×Q8—42no—
2034C2×Q8—42no—
2035C2×Q8—2922no—
2036C2×Q8—2922no—
2037C2×Q8—2924no—
2038C2×Q8—734no—
2039C2×Q8—731no—
2040C2×Q8—734no—
2041C2×Q8—732no—
2042C2×Q8—732no—
2043C2×Q8—731no—
2044C2×Q8—734no—
2045C2×Q8—732no—
2046C2×Q8C23×D7312yes—
2047C2×Q8C23×D7311yescharacteristic
2048C2×Q8C23×D7311yescharacteristic
2049C2×Q8C23×D7312yes—
2050C2×Q8C23×D7311yescharacteristic
2051C2×Q8C23×D7311yescharacteristic
2052C2×D4—42no—
2053C2×D4—42no—
2054C2×D4—42no—
2055C2×D4—42no—
2056C2×D4—44no—
2057C2×D4—2922no—
2058C2×D4—2922no—
2059C2×D4—2928no—
2060C2×D4—2924no—
2061C2×D4—2924no—
2062C2×D4—2928no—
2063C2×D4—2924no—
2064C2×D4—2924no—
2065C2×D4—2924no—
2066C2×D4—2928no—
2067C2×D4—734no—
2068C2×D4—734no—
2069C2×D4—734no—
2070C2×D4—734no—
2071C2×D4—734no—
2072C2×D4—734no—
2073C2×D4—734no—
2074C2×D4—732no—
2075C2×D4—732no—
2076C2×D4—732no—
2077C2×D4—732no—
2078C2×D4—732no—
2079C2×D4—732no—
2080C2×D4—734no—
2081C2×D4—734no—
2082C2×D4—734no—
2083C2×D4—732no—
2084C2×D4—732no—
2085C2×D4—732no—
2086C2×D4—732no—
2087C2×D4—734no—
2088C2×D4—732no—
2089C2×D4—732no—
2090C2×D4—734no—
2091C2×D4—734no—
2092C2×D4—734no—
2093C2×D4—731no—
2094C2×D4—732no—
2095C2×D4—732no—
2096C2×D4—734no—
2097C2×D4—731no—
2098C2×D4—732no—
2099C2×D4C23×D7314yes—
2100C2×D4C23×D7312yes—
2101C2×D4C23×D7314yes—
2102C2×D4C23×D7314yes—
2103C2×D4C23×D7314yes—
2104C2×D4C23×D7314yes—
2105C2×D4C23×D7311yescharacteristic
2106C2×D4C23×D7311yescharacteristic
2107C2×D4C23×D7311yescharacteristic
2108C2×D4C23×D7312yes—
2109C2×D4C23×D7311yescharacteristic
2110C2×D4C23×D7314yes—
2111C2×D4C23×D7311yescharacteristic
2112C2×D4C23×D7311yescharacteristic
2113C2×D4C23×D7311yescharacteristic
2114C2×D4C23×D7311yescharacteristic
2115C2×D4C23×D7311yescharacteristic
2116C2×D4C23×D7311yescharacteristic
2117C2×D4C23×D7311yescharacteristic
2118C2×D4C23×D7311yescharacteristic
2119C22×C4—24no—
2120C22×C4—24no—
2121C22×C4—24no—
2122C22×C4—44no—
2123C22×C4—2924no—
2124C22×C4—2928no—
2125C22×C4—2924no—
2126C22×C4—732no—
2127C22×C4—732no—
2128C22×C4—732no—
2129C22×C4—734no—
2130C22×C4—734no—
2131C22×C4—734no—
2132C22×C4—732no—
2133C22×C4—734no—
2134C22×C4—734no—
2135C22×C4—734no—
2136C22×C4—734no—
2137C22×C4—734no—
2138C22×C4—734no—
2139C22×C4—732no—
2140C22×C4—732no—
2141C22×C4—732no—
2142C22×C4—734no—
2143C22×C4—732no—
2144C22×C4—734no—
2145C22×C4—732no—
2146C22×C4—732no—
2147C22×C4—732no—
2148C22×C4—734no—
2149C22×C4—732no—
2150C22×C4—1468no—
2151C22×C4C23×D7311yescharacteristic
2152C22×C4C23×D7311yescharacteristic
2153C22×C4C23×D7311yescharacteristic
2154C22×C4C23×D7311yescharacteristic
2155C22×C4C23×D7311yescharacteristic
2156C22×C4C23×D7311yescharacteristic
2157C22×C4C23×D7311yescharacteristic
2158C22×C4C23×D7311yescharacteristic
2159C22×C4C23×D7311yescharacteristic
2160C22×C4C23×D7311yescharacteristic
2161C22×C4C23×D7311yescharacteristic
2162C22×C4C23×D7311yescharacteristic
2163C22×C4C23×D7314yes—
2164C22×C4C23×D7311yescharacteristic
2165C22×C4C23×D7311yescharacteristic
2166C22×C4C23×D7311yescharacteristic
2167C22×C4C23×D7314yes—
2168C22×C4C23×D7314yes—
2169C22×C4C23×D7312yes—
2170C22×C4C23×D7311yescharacteristic
2171C4⋊C4—732no—
2172C4⋊C4—732no—
2173C4⋊C4—734no—
2174C4⋊C4—732no—
2175C4⋊C4—732no—
2176C4⋊C4—734no—
2177C4⋊C4—734no—
2178C4⋊C4—732no—
2179C4⋊C4—732no—
2180C4⋊C4—732no—
2181C4⋊C4—732no—
2182C4⋊C4—734no—
2183C4⋊C4—734no—
2184C4⋊C4—734no—
2185C4⋊C4—734no—
2186C4⋊C4—734no—
2187C4⋊C4—734no—
2188C4⋊C4—734no—
2189C4⋊C4—734no—
2190C4⋊C4—734no—
2191C4⋊C4—734no—
2192C4⋊C4—734no—
2193C4⋊C4—734no—
2194C4⋊C4—734no—
2195C4⋊C4—732no—
2196C4⋊C4—732no—
2197C4⋊C4—734no—
2198C4⋊C4—734no—
2199C4⋊C4—734no—
2200C4⋊C4—734no—
2201C4⋊C4—734no—
2202C4⋊C4—734no—
2203C4⋊C4—734no—
2204C4⋊C4C23×D7312yes—
2205C4⋊C4C23×D7312yes—
2206C4⋊C4C23×D7314yes—
2207C4⋊C4C23×D7314yes—
2208C4⋊C4C23×D7314yes—
2209C4⋊C4C23×D7314yes—
2210C4⋊C4C23×D7314yes—
2211C22⋊C4—732no—
2212C22⋊C4—732no—
2213C22⋊C4—734no—
2214C22⋊C4—734no—
2215C22⋊C4—732no—
2216C22⋊C4—732no—
2217C22⋊C4—732no—
2218C22⋊C4—732no—
2219C22⋊C4—734no—
2220C22⋊C4—732no—
2221C22⋊C4—732no—
2222C22⋊C4—734no—
2223C22⋊C4—732no—
2224C22⋊C4—732no—
2225C22⋊C4—734no—
2226C22⋊C4—734no—
2227C22⋊C4—734no—
2228C22⋊C4—734no—
2229C22⋊C4—734no—
2230C22⋊C4—734no—
2231C22⋊C4—734no—
2232C22⋊C4—732no—
2233C22⋊C4—732no—
2234C22⋊C4—734no—
2235C22⋊C4—732no—
2236C22⋊C4—732no—
2237C22⋊C4—734no—
2238C22⋊C4—734no—
2239C22⋊C4—734no—
2240C22⋊C4—734no—
2241C22⋊C4—732no—
2242C22⋊C4—732no—
2243C22⋊C4—734no—
2244C22⋊C4—734no—
2245C22⋊C4—732no—
2246C22⋊C4—732no—
2247C22⋊C4—734no—
2248C22⋊C4—734no—
2249C22⋊C4—734no—
2250C22⋊C4—734no—
2251C22⋊C4—734no—
2252C22⋊C4—734no—
2253C22⋊C4—734no—
2254C22⋊C4—734no—
2255C22⋊C4—734no—
2256C22⋊C4C23×D7314yes—
2257C22⋊C4C23×D7314yes—
2258C22⋊C4C23×D7314yes—
2259C22⋊C4C23×D7312yes—
2260C22⋊C4C23×D7312yes—
2261C22⋊C4C23×D7314yes—
2262C22⋊C4C23×D7314yes—
2263C22⋊C4C23×D7314yes—
2264C22⋊C4C23×D7314yes—
2265C22⋊C4C23×D7314yes—
2266C22⋊C4C23×D7314yes—
2267C42—731no—
2268C42—732no—
2269C42—732no—
2270C42—732no—
2271C42—731no—
2272C42—732no—
2273C42—731no—
2274C42—731no—
2275C42—732no—
2276C42—734no—
2277C42—734no—
2278C42—734no—
2279C42—734no—
2280C42—734no—
2281C42—732no—
2282C42—734no—
2283C42—732no—
2284C42—732no—
2285C42—734no—
2286C42C23×D7312yes—
2287C42C23×D7312yes—
2288C42C23×D7314yes—
2289C23—22no—
2290C23—22no—
2291C23—22no—
2292C23—42no—
2293C23—42no—
2294C23—42no—
2295C23—42no—
2296C23—44no—
2297C23—2922no—
2298C23—2924no—
2299C23—2922no—
2300C23—2922no—
2301C23—2924no—
2302C23—2924no—
2303C23—2924no—
2304C23—732no—
2305C23—734no—
2306C23—732no—
2307C23—1464no—
2308C23C24×D7311yescharacteristic
2309C23C24×D7311yescharacteristic
2310C23C24×D7311yescharacteristic
2311C23C24×D7314yes—
2312C23C24×D7311yescharacteristic
2313C23C24×D7311yescharacteristic
2314C23C24×D7311yescharacteristic
2315C23C24×D7311yescharacteristic
2316Q8—24no—
2317Q8—41no—
2318Q8—41no—
2319Q8—41no—
2320Q8—41no—
2321Q8—42no—
2322Q8—2921no—
2323Q8—2922no—
2324Q8—2922no—
2325Q8—2921no—
2326Q8—2924no—
2327Q8—2924no—
2328Q8—1468no—
2329Q8—1464no—
2330D4—28no—
2331D4—24no—
2332D4—41no—
2333D4—41no—
2334D4—41no—
2335D4—41no—
2336D4—41no—
2337D4—41no—
2338D4—42no—
2339D4—41no—
2340D4—41no—
2341D4—41no—
2342D4—41no—
2343D4—41no—
2344D4—41no—
2345D4—44no—
2346D4—44no—
2347D4—44no—
2348D4—44no—
2349D4—44no—
2350D4—2921no—
2351D4—2922no—
2352D4—2922no—
2353D4—2921no—
2354D4—2924no—
2355D4—2924no—
2356D4—2924no—
2357D4—2922no—
2358D4—2922no—
2359D4—2924no—
2360D4—2924no—
2361D4—2922no—
2362D4—2922no—
2363D4—2924no—
2364D4—2922no—
2365D4—2922no—
2366D4—2922no—
2367D4—2922no—
2368D4—2924no—
2369D4—2924no—
2370D4—2924no—
2371D4—2924no—
2372D4—2924no—
2373D4—2924no—
2374D4—2924no—
2375D4—1464no—
2376D4—1464no—
2377D4—1468no—
2378D4—1464no—
2379D4—1464no—
2380D4—1468no—
2381D4—1464no—
2382C2×C4—22no—
2383C2×C4—22no—
2384C2×C4—22no—
2385C2×C4—22no—
2386C2×C4—22no—
2387C2×C4—22no—
2388C2×C4—22no—
2389C2×C4—22no—
2390C2×C4—22no—
2391C2×C4—22no—
2392C2×C4—22no—
2393C2×C4—22no—
2394C2×C4—22no—
2395C2×C4—22no—
2396C2×C4—22no—
2397C2×C4—28no—
2398C2×C4—42no—
2399C2×C4—44no—
2400C2×C4—44no—
2401C2×C4—2924no—
2402C2×C4—2924no—
2403C2×C4—2924no—
2404C2×C4—2924no—
2405C2×C4—2924no—
2406C2×C4—2924no—
2407C2×C4—2922no—
2408C2×C4—2924no—
2409C2×C4—2922no—
2410C2×C4—2922no—
2411C2×C4—2922no—
2412C2×C4—2924no—
2413C2×C4—2924no—
2414C2×C4—732no—
2415C2×C4—732no—
2416C2×C4—732no—
2417C2×C4—734no—
2418C2×C4—734no—
2419C2×C4—732no—
2420C2×C4—732no—
2421C2×C4—734no—
2422C2×C4—732no—
2423C2×C4—1468no—
2424C2×C4—1464no—
2425C2×C4—1464no—
2426C2×C4—1464no—
2427C2×C4—1468no—
2428C2×C4—1464no—
2429C2×C4—1464no—
2430C2×C4—1468no—
2431C2×C4—1464no—
2432C2×C4—1464no—
2433C2×C4—1464no—
2434C2×C4#1455663614yes—
2435C2×C4C24×D7311yescharacteristic
2436C2×C4C24×D7311yescharacteristic
2437C2×C4C24×D7311yescharacteristic
2438C2×C4C24×D7314yes—
2439C2×C4C24×D7314yes—
2440C2×C4C24×D7314yes—
2441C2×C4C24×D7311yescharacteristic
2442C2×C4C24×D7311yescharacteristic
2443C2×C4C24×D7311yescharacteristic
2444C2×C4C24×D7311yescharacteristic
2445C2×C4C24×D7311yescharacteristic
2446C22—22no—
2447C22—21no—
2448C22—21no—
2449C22—21no—
2450C22—21no—
2451C22—21no—
2452C22—21no—
2453C22—24no—
2454C22—22no—
2455C22—22no—
2456C22—22no—
2457C22—22no—
2458C22—24no—
2459C22—24no—
2460C22—22no—
2461C22—22no—
2462C22—44no—
2463C22—82no—
2464C22—82no—
2465C22—84no—
2466C22—5844no—
2467C22—5844no—
2468C22—5848no—
2469C22—1462no—
2470C22—1464no—
2471C22—1462no—
2472C22—1462no—
2473C22—1462no—
2474C22—1464no—
2475C22—1464no—
2476C22—1462no—
2477C22—1462no—
2478C22C2×#1455663612yes—
2479C22C25×D7311yescharacteristic
2480C4—21no—
2481C4—21no—
2482C4—21no—
2483C4—21no—
2484C4—21no—
2485C4—21no—
2486C4—24no—
2487C4—24no—
2488C4—24no—
2489C4—734no—
2490C4—1462no—
2491C4—1464no—
2492C4—1462no—
2493C4—1462no—
2494C4—1464no—
2495C4—1462no—
2496C4—1464no—
2497C4—1462no—
2498C4C2×#1455663612yes—
2499C4C2×#1455663612yes—
2500C2—22no—
2501C2—41no—
2502C2—41no—
2503C2—41no—
2504C2—41no—
2505C2—44no—
2506C2—41no—
2507C2—41no—
2508C2—2922no—
2509C2—2924no—
2510C2—2922no—
2511C2C22×#1455663611yescharacteristic
2512C2#585×D7312yes—
subgroupG/H
centerC2×C4C24×D73
commutator, socle, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC73×#3449C2
hypercenter#3449D73
hypocenterC73#62759
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ #3449

Complements

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

NH ≅ G/Ntype
1. #22624360C2semidirect
2. #22624355C2semidirect
3. #22624349C2semidirect
4. #22624340C2semidirect
5. #22624334C2semidirect
6. #22624326C2semidirect
7. #22624318C2semidirect
8. #22624310C2semidirect
9. #22624301C2semidirect
10. #22624293C2semidirect
11. #22624285C2semidirect
12. #22624280C2semidirect
13. #22624269C2semidirect
14. #22624258C2semidirect
15. #22624242C2semidirect
16. #22624234C2semidirect
17. #22624069C2semidirect
18. #22624067C2semidirect
19. #22623555C2semidirect
20. #22623533C2semidirect
21. #22623491C2semidirect
22. #22623485C2semidirect
23. #41×C22⋊D73C2semidirect
24. #22623414C2semidirect
25. #22623349C2semidirect
26. #22623345C2semidirect
27. #22623261C2semidirect
28. #22623260C2semidirect
29. #22623223C2semidirect
30. C2×#17989133C2semidirect
31. C73×#3449C2semidirect
32. C22×#11924028C22semidirect
33. C22×#11924028C22semidirect
34. C2×#41×D73C22semidirect
35. #17989340C22semidirect
36. #17989338C22semidirect
37. #17989337C22semidirect
38. #17989336C22semidirect
39. #17989336C22semidirect
40. #17989334C22semidirect
41. #17989333C22semidirect
42. #17989332C22semidirect
43. #17989332C22semidirect
44. #17989332C22semidirect
45. #17989331C22semidirect
46. #17989330C22semidirect
47. #17989329C22semidirect
48. #17989327C22semidirect
49. #17989326C22semidirect
50. #17989326C22semidirect
51. #17989325C22semidirect
52. #17989325C22semidirect
53. #17989325C22semidirect
54. #17989324C22semidirect
55. #17989321C22semidirect
56. #17989317C22semidirect
57. #17989308C22semidirect
58. #17989305C22semidirect
59. #17989303C22semidirect
60. #17989301C22semidirect
61. #17989301C22semidirect
62. #17989301C22semidirect
63. #17989300C22semidirect
64. #17989299C22semidirect
65. #17989299C22semidirect
66. #17989299C22semidirect
67. #17989295C22semidirect
68. #17989292C22semidirect
69. #17989291C22semidirect
70. #17989289C22semidirect
71. #17989285C22semidirect
72. #17989284C22semidirect
73. #17989282C22semidirect
74. #17989281C22semidirect
75. #17989280C22semidirect
76. #17989279C22semidirect
77. #17989276C22semidirect
78. #17989274C22semidirect
79. #17989272C22semidirect
80. #17989271C22semidirect
81. #17989270C22semidirect
82. #17989268C22semidirect
83. #17989268C22semidirect
84. #17989265C22semidirect
85. #17989264C22semidirect
86. #17989263C22semidirect
87. #17989261C22semidirect
88. #17989260C22semidirect
89. #17989257C22semidirect
90. #17989256C22semidirect
91. #17989255C22semidirect
92. #17989255C22semidirect
93. #17989255C22semidirect
94. Q8×C22⋊D73C22semidirect
95. #17989250C22semidirect
96. #17989248C22semidirect
97. #17989247C22semidirect
98. #17989244C22semidirect
99. #17989243C22semidirect
100. #17989239C22semidirect
101. #17989238C22semidirect
102. #17989237C22semidirect
103. #17989236C22semidirect
104. #17989236C22semidirect
105. #17989235C22semidirect
106. #17989234C22semidirect
107. #17989231C22semidirect
108. #17989231C22semidirect
109. #17989229C22semidirect
110. #17989228C22semidirect
111. #17989227C22semidirect
112. #17989226C22semidirect
113. #17989225C22semidirect
114. #17989225C22semidirect
115. #17989224C22semidirect
116. #17989224C22semidirect
117. #17989224C22semidirect
118. #17989221C22semidirect
119. D4×C22⋊D73C22semidirect
120. D4×C22⋊D73C22semidirect
121. #17989219C22semidirect
122. #17989219C22semidirect
123. #17989216C22semidirect
124. #17989214C22semidirect
125. #17989211C22semidirect
126. #17989207C22semidirect
127. #17989207C22semidirect
128. #17989205C22semidirect
129. #17989205C22semidirect
130. #17989204C22semidirect
131. #17989201C22semidirect
132. #17989201C22semidirect
133. #17989191C22semidirect
134. #17989190C22semidirect
135. #17989189C22semidirect
136. #17989189C22semidirect
137. #17989187C22semidirect
138. #17989187C22semidirect
139. #17989187C22semidirect
140. #17989187C22semidirect
141. #17989177C22semidirect
142. #17989174C22semidirect
143. #17989172C22semidirect
144. #17989172C22semidirect
145. #17989171C22semidirect
146. #17989171C22semidirect
147. #17989169C22semidirect
148. #17989169C22semidirect
149. #17989167C22semidirect
150. #17989167C22semidirect
151. #17989166C22semidirect
152. #17989166C22semidirect
153. #17989166C22semidirect
154. #17989165C22semidirect
155. #17989165C22semidirect
156. #17989164C22semidirect
157. #17989161C22semidirect
158. #17989160C22semidirect
159. #17989160C22semidirect
160. #17989159C22semidirect
161. #17989158C22semidirect
162. #17989158C22semidirect
163. #17989154C22semidirect
164. #17989153C22semidirect
165. #17989153C22semidirect
166. #17989153C22semidirect
167. #17989152C22semidirect
168. #17989152C22semidirect
169. #17989152C22semidirect
170. #17989151C22semidirect
171. #17989151C22semidirect
172. #17989150C22semidirect
173. #17989148C22semidirect
174. #17989147C22semidirect
175. #17989146C22semidirect
176. #17989146C22semidirect
177. #17989140C22semidirect
178. #17989139C22semidirect
179. #17989139C22semidirect
180. #17989134C22semidirect
181. #17989134C22semidirect
182. #17989134C22semidirect
186. #17989133C22semidirect
187. #17989133C22semidirect
188. #17989133C22semidirect
189. #17989133C22semidirect
190. #17989133C22semidirect
191. #17989133C22semidirect
192. #17989133C22semidirect
193. #17989133C22semidirect
194. #17989133C22semidirect
195. #17989133C22semidirect
196. #17989133C22semidirect
197. #17989133C22semidirect
198. #17989133C22semidirect
199. #17989132C22semidirect
200. #17989132C22semidirect
201. C2×#14556589C22semidirect
203. #17989123C22semidirect
204. #17989123C22semidirect
205. #17989121C22semidirect
206. #17989119C22semidirect
207. #17989118C22semidirect
208. #17989118C22semidirect
209. #17989117C22semidirect
210. #17989117C22semidirect
211. #17989117C22semidirect
212. #17989117C22semidirect
213. #17989115C22semidirect
214. #17989115C22semidirect
215. #17989114C22semidirect
216. #17989114C22semidirect
217. C2×#14556580C22semidirect
218. C2×#14556578C22semidirect
219. #17989099C22semidirect
220. #17989098C22semidirect
221. #17989098C22semidirect
222. #17989098C22semidirect
223. #17989096C22semidirect
224. #17989096C22semidirect
225. #17989096C22semidirect
226. #17989096C22semidirect
227. #17989094C22semidirect
228. #17989094C22semidirect
229. #17989094C22semidirect
230. #17989094C22semidirect
231. #17989093C22semidirect
232. #17989093C22semidirect
233. C2×#14556563C22semidirect
234. C2×#14556563C22semidirect
235. #41×Dic73C22semidirect
236. C4×#11924028C22semidirect
237. #17989055C22semidirect
238. C4×#11924027C22semidirect
239. C4×#11924027C22semidirect
240. C4×#11924027C22semidirect
241. C2×C4×C22⋊D73C22semidirect
242. C2×C4×C22⋊D73C22semidirect
243. C2×C4×C22⋊D73C22semidirect
244. C4×D4×D73C22semidirect
245. C2×#14556550C22semidirect
246. #117×D73C22semidirect
247. C22×C4×Dic73C22semidirect
248. C22×#41×C73C22semidirect
249. C22×#41×C73C22semidirect
250. #537×C73C22semidirect
251. #537×C73C22semidirect
252. #536×C73C22semidirect
253. #536×C73C22semidirect
254. #536×C73C22semidirect
255. #535×C73C22semidirect
256. #535×C73C22semidirect
257. #535×C73C22semidirect
258. #534×C73C22semidirect
259. #534×C73C22semidirect
260. #532×C73C22semidirect
261. #532×C73C22semidirect
262. #525×C73C22semidirect
263. #525×C73C22semidirect
264. #525×C73C22semidirect
265. #525×C73C22semidirect
266. C2×#117×C73C22semidirect
1285. #3449D73semidirect
1288. C73#62759semidirect
1292. C22×#41C2×D73semidirect
1293. C22×#41C2×D73semidirect
1416. #537C2×D73semidirect
1417. #537C2×D73semidirect
1424. #536C2×D73semidirect
1425. #536C2×D73semidirect
1426. #536C2×D73semidirect
1437. #535C2×D73semidirect
1438. #535C2×D73semidirect
1439. #535C2×D73semidirect
1444. #534C2×D73semidirect
1445. #534C2×D73semidirect
1470. #532C2×D73semidirect
1471. #532C2×D73semidirect
1504. #525C2×D73semidirect
1505. #525C2×D73semidirect
1506. #525C2×D73semidirect
1507. #525C2×D73semidirect
1522. C2×#117C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243602
#226243552
#226243492
#226243402
#226243342
#226243262
#226243182
#226243102
#226243012
#226242932
#226242852
#226242802
#226242692
#226242582
#226242422
#226242342
#226240692
#226240672
#226235552
#226235332
#226234912
#226234852
#41×C22⋊D732
#226234142
#226233492
#226233452
#226232612
#226232602
#226232232
C2×#179891332
C73×#34492
#6275973