Finite Group Databasebeta

← #33994609

Subgroups — #33994609

Order 18688.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2268 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624242C214yesmaximal, complemented
2#22624234C214yesmaximal, complemented
3#22624161C214yesmaximal, complemented
4#22624146C214yesmaximal, complemented
5#22624117C214yesmaximal, complemented
6#22624109C214yesmaximal, complemented
7#22623952C214yesmaximal, complemented
8#22623950C214yesmaximal, complemented
9#22623768C212yesmaximal, complemented
10#22623761C212yesmaximal, complemented
11#22623692C212yesmaximal, complemented
12#22623690C212yesmaximal, complemented
13#22623653C214yesmaximal, complemented
14#22623632C212yesmaximal, complemented
15#22623618C212yesmaximal, complemented
16#22623614C212yesmaximal, complemented
17#22623591C214yesmaximal, complemented
18#22623566C211yesmaximal, characteristic, complemented
19#22623560C212yesmaximal, complemented
20#22623560C212yesmaximal, complemented
21C2×#17989093C212yesmaximal, complemented
22C22×#14556563C211yesmaximal, characteristic, complemented
23C73×#3484C211yesmaximal, characteristic, complemented
24C2×#14556636C2212yescomplemented
25C2×#14556636C2212yescomplemented
26C2×#14556636C2211yescharacteristic, complemented
27C22×#11924027C2212yescomplemented
28C23×C22⋊D73C2211yescharacteristic, complemented
29C23×C22⋊D73C2211yescharacteristic, complemented
30C24×Dic73C2211yescharacteristic, complemented
31#17989334C2214yescomplemented
32#17989332C2214yescomplemented
33#17989332C2214yescomplemented
34#17989331C2214yescomplemented
35#17989326C2214yescomplemented
36#17989325C2214yescomplemented
37#17989325C2214yescomplemented
38#17989324C2214yescomplemented
39#17989301C2214yescomplemented
40#17989299C2214yescomplemented
41#17989296C2214yescomplemented
42#17989291C2214yescomplemented
43#17989289C2214yescomplemented
44#17989286C2214yescomplemented
45#17989286C2214yescomplemented
46#17989286C2214yescomplemented
47#17989283C2214yescomplemented
48#17989282C2214yescomplemented
49#17989280C2214yescomplemented
50#17989280C2214yescomplemented
51#17989280C2214yescomplemented
52#17989280C2214yescomplemented
53#17989274C2214yescomplemented
54#17989270C2214yescomplemented
55#17989268C2214yescomplemented
56#17989268C2214yescomplemented
57#17989266C2214yescomplemented
58#17989264C2214yescomplemented
59#17989263C2214yescomplemented
60#17989263C2214yescomplemented
61#17989261C2214yescomplemented
62#17989260C2214yescomplemented
63#17989257C2214yescomplemented
64#17989255C2214yescomplemented
65#17989246C2214yescomplemented
66#17989243C2214yescomplemented
67#17989236C2214yescomplemented
68#17989236C2214yescomplemented
69#17989235C2214yescomplemented
70#17989235C2214yescomplemented
71#17989232C2214yescomplemented
72#17989231C2214yescomplemented
73#17989231C2214yescomplemented
74#17989231C2214yescomplemented
75#17989231C2214yescomplemented
76#17989231C2214yescomplemented
77#17989229C2214yescomplemented
78#17989229C2214yescomplemented
79#17989227C2214yescomplemented
80#17989227C2214yescomplemented
81#17989227C2214yescomplemented
82#17989227C2214yescomplemented
83#17989226C2214yescomplemented
84#17989226C2214yescomplemented
85#17989225C2214yescomplemented
86#17989225C2214yescomplemented
87#17989224C2214yescomplemented
88#17989224C2214yescomplemented
89#17989224C2214yescomplemented
90#17989224C2214yescomplemented
91#17989224C2214yescomplemented
92#17989224C2214yescomplemented
93#17989224C2214yescomplemented
94#17989224C2214yescomplemented
95D4×C22⋊D73C2214yescomplemented
96D4×C22⋊D73C2214yescomplemented
97D4×C22⋊D73C2214yescomplemented
98D4×C22⋊D73C2214yescomplemented
99D4×C22⋊D73C2214yescomplemented
100D4×C22⋊D73C2214yescomplemented
101D4×C22⋊D73C2214yescomplemented
102#17989219C2214yescomplemented
103#17989219C2214yescomplemented
104#17989219C2214yescomplemented
105#17989219C2214yescomplemented
106#17989219C2214yescomplemented
107#17989216C2212yescomplemented
108#17989213C2212yescomplemented
109#17989212C2212yescomplemented
110#17989205C2214yescomplemented
111#17989201C2214yescomplemented
112#17989191C2214yescomplemented
113#17989190C2214yescomplemented
114#17989189C2214yescomplemented
115#17989187C2214yescomplemented
116#17989187C2214yescomplemented
117#17989187C2214yescomplemented
118#17989186C2212yescomplemented
119#17989182C2212yescomplemented
120#17989181C2214yescomplemented
121#17989179C2214yescomplemented
122#17989179C2214yescomplemented
123#17989177C2212yescomplemented
124#17989174C2212yescomplemented
125#17989174C2214yescomplemented
126#17989172C2214yescomplemented
127#17989172C2214yescomplemented
128#17989172C2214yescomplemented
129#17989172C2214yescomplemented
130#17989171C2214yescomplemented
131#17989170C2214yescomplemented
132#17989170C2214yescomplemented
133#17989169C2214yescomplemented
134#17989166C2214yescomplemented
135#17989165C2214yescomplemented
136#17989164C2212yescomplemented
137#17989164C2214yescomplemented
138#17989164C2214yescomplemented
139#17989154C2212yescomplemented
140#17989152C2214yescomplemented
141#17989152C2214yescomplemented
142#17989152C2214yescomplemented
143#17989150C2214yescomplemented
144#17989149C2212yescomplemented
145#17989149C2212yescomplemented
146#17989147C2214yescomplemented
147#17989147C2214yescomplemented
148#17989146C2212yescomplemented
149#17989146C2212yescomplemented
150#17989146C2212yescomplemented
151#17989146C2212yescomplemented
152#17989146C2212yescomplemented
153#17989146C2214yescomplemented
154#17989145C2212yescomplemented
155#17989145C2214yescomplemented
156#17989133C2214yescomplemented
157#17989132C2214yescomplemented
158#17989117C2214yescomplemented
159#17989114C2214yescomplemented
160#17989098C2212yescomplemented
161#17989096C2214yescomplemented
162#17989093C2214yescomplemented
163#17989093C2214yescomplemented
164#17989093C2214yescomplemented
165#17989093C2214yescomplemented
166#17989093C2214yescomplemented
167#17989093C2214yescomplemented
168#17989093C2214yescomplemented
169#17989093C2214yescomplemented
170#17989093C2214yescomplemented
171#17989093C2214yescomplemented
172C2×#14556575C2212yescomplemented
173C2×#14556572C2212yescomplemented
174C2×#14556568C2212yescomplemented
175C2×#14556568C2212yescomplemented
176C2×#14556563C2212yescomplemented
177C2×#14556563C2212yescomplemented
178C2×#14556563C2214yescomplemented
179C2×#14556563C2214yescomplemented
180C2×#14556563C2214yescomplemented
181C2×#14556563C2214yescomplemented
182C2×#14556563C2212yescomplemented
183C2×#14556563C2212yescomplemented
184C2×#14556563C2212yescomplemented
185C2×#14556563C2212yescomplemented
186C2×#14556563C2214yescomplemented
187#121×D73C2214yescomplemented
188C2×#14556560C2212yescomplemented
189C2×#14556560C2212yescomplemented
190#120×D73C2214yescomplemented
191#17989066C2214yescomplemented
192#17989062C2211yescharacteristic, complemented
193#17989062C2212yescomplemented
194#17989060C2212yescomplemented
195#17989060C2212yescomplemented
196#17989060C2212yescomplemented
197#17989059C2214yescomplemented
198C2×D4×Dic73C2212yescomplemented
199C2×D4×Dic73C2212yescomplemented
200C2×#14556551C2212yescomplemented
201C2×#14556551C2212yescomplemented
202C2×#14556547C2212yescomplemented
203C22×#11924007C2211yescharacteristic, complemented
204C22×C22⋊Dic73C2211yescharacteristic, complemented
205C22×#11924005C2211yescharacteristic, complemented
206C2×H(5,𝔽2)×C73C2211yescharacteristic, complemented
207C23×D4×C73C2211yescharacteristic, complemented
208#546×C73C2214yescomplemented
209#546×C73C2214yescomplemented
210D42×C73C2214yescomplemented
211D42×C73C2214yescomplemented
212#535×C73C2212yescomplemented
213#534×C73C2212yescomplemented
214#534×C73C2212yescomplemented
215#525×C73C2212yescomplemented
216C2×#120×C73C2212yescomplemented
217C2×#120×C73C2212yescomplemented
218#518×C73C2211yescharacteristic, complemented
219C24×D73C2311yescharacteristic
220#14556636—44no—
221#14556636—48no—
222#14556636—48no—
223C2×#11924028C2312yes—
224C2×#11924028C2314yescomplemented
225C2×#11924028C2314yescomplemented
226C2×#11924027—48no—
227C2×#11924027C2314yes—
228C2×#11924027C2314yes—
229C2×#11924027C2314yes—
230C2×#11924027C2314yescomplemented
231C2×#11924027C2314yescomplemented
232C2×#11924027C2314yescomplemented
233C2×#11924027C2314yescomplemented
234C2×#11924027C2314yescomplemented
235C22×Dic146C2312yescomplemented
236C22×C22⋊D73—44no—
237C22×C22⋊D73—44no—
238C22×C22⋊D73C2312yes—
239C22×C22⋊D73C2312yes—
240C22×C22⋊D73C2312yes—
241C22×C22⋊D73C2312yes—
242C22×C22⋊D73C2312yes—
243C22×C22⋊D73C2312yes—
244C22×C22⋊D73C2312yes—
245C22×C22⋊D73C2312yes—
246C22×C22⋊D73C2312yes—
247C22×C22⋊D73C2314yes—
248C22×C22⋊D73C2314yes—
249C22×C22⋊D73C2314yes—
250C22×C22⋊D73C2312yes—
251C22×C22⋊D73C2312yes—
252C22×C22⋊D73C2312yes—
253C22×C22⋊D73C2314yescomplemented
254C22×C22⋊D73C2314yescomplemented
255C22×C22⋊D73C2312yescomplemented
256C2×D4×D73C2314yes—
257C2×D4×D73C2314yes—
258C2×D4×D73C2314yes—
259C2×D4×D73C2314yescomplemented
260C2×D4×D73C2314yescomplemented
261C2×D4×D73C2314yescomplemented
262C23×Dic73—44no—
263C23×Dic73C2311yescharacteristic
264C23×Dic73C2312yes—
265C23×Dic73C2311yescharacteristic
266C23×Dic73C2312yes—
267C23×Dic73C2312yes—
268C23×Dic73C2312yes—
269C23×Dic73C2312yes—
270C23×Dic73C2312yes—
271C23×Dic73C2311yescharacteristic
272C23×Dic73C2312yescomplemented
273C22×C4×D73C2312yescomplemented
274#14556590C2314yescomplemented
275#14556589C2314yescomplemented
276#14556587C2314yescomplemented
277#14556587C2314yescomplemented
278#14556587C2314yescomplemented
279#14556587C2314yescomplemented
280#14556587C2314yescomplemented
281#14556586C2314yescomplemented
282#14556586C2314yescomplemented
283#14556586C2314yescomplemented
284#14556586C2314yescomplemented
285#14556585C2314yescomplemented
286#14556585C2314yescomplemented
287#14556584C2314yescomplemented
288#14556584C2314yescomplemented
289#14556584C2314yescomplemented
290#14556584C2314yescomplemented
291#14556584C2314yescomplemented
292#14556584C2314yescomplemented
293#14556583C2314yescomplemented
294#14556582C2314yescomplemented
295#14556581C2314yescomplemented
296#14556581C2314yescomplemented
297#14556581C2314yescomplemented
298#14556581C2314yescomplemented
299#14556580C2314yescomplemented
300#14556579C2314yescomplemented
301#14556578C2314yescomplemented
302#14556578C2314yescomplemented
303#14556578C2314yescomplemented
304#14556577C2314yescomplemented
305#14556577C2314yescomplemented
306#14556577C2314yescomplemented
307#14556577C2314yescomplemented
308#14556577C2314yescomplemented
309#14556577C2314yescomplemented
310#14556577C2314yescomplemented
311#14556577C2314yescomplemented
312#14556576C2314yescomplemented
313#14556576C2314yescomplemented
314#14556576C2314yescomplemented
315#14556576C2314yescomplemented
316#14556575C2314yes—
317#14556575C2314yes—
318#14556575C2314yes—
319#14556575C2314yescomplemented
320#14556575C2314yescomplemented
321#14556575C2314yescomplemented
322#14556575C2314yescomplemented
323#14556575C2314yescomplemented
324#14556574C2314yes—
325#14556574C2314yescomplemented
326#14556574C2314yescomplemented
327#14556574C2314yescomplemented
328#14556574C2314yescomplemented
329#14556574C2314yescomplemented
330#14556573C2314yescomplemented
331#14556573C2314yescomplemented
332#14556573C2314yescomplemented
333#14556573C2314yescomplemented
334#14556573C2314yescomplemented
335#14556573C2314yescomplemented
336#14556573C2314yescomplemented
337#14556573C2314yescomplemented
338#14556572C2314yes—
339#14556572C2314yes—
340#14556572C2314yes—
341#14556572C2314yescomplemented
342#14556572C2314yescomplemented
343#14556572C2314yescomplemented
344#14556572C2314yescomplemented
345#14556572C2314yescomplemented
346#14556572C2314yescomplemented
347#14556572C2314yescomplemented
348#14556572C2314yescomplemented
349#14556571C2314yescomplemented
350#14556570C2312yes—
351#14556570C2312yes—
352#14556570C2314yescomplemented
353#14556570C2314yescomplemented
354#14556570C2314yescomplemented
355#14556569C2314yescomplemented
356#14556569C2314yescomplemented
357#14556569C2314yescomplemented
358#14556569C2314yescomplemented
359#14556568C2314yes—
360#14556568C2314yes—
361#14556568C2314yes—
362#14556568C2314yes—
363#14556568C2314yes—
364#14556568C2314yes—
365#14556568C2314yescomplemented
366#14556568C2314yescomplemented
367#14556568C2314yescomplemented
368#14556568C2314yescomplemented
369#14556568C2314yescomplemented
370#14556568C2314yescomplemented
371#14556568C2314yescomplemented
372#14556568C2314yescomplemented
373#14556567C2314yescomplemented
374#14556567C2314yescomplemented
375#14556566C2314yescomplemented
376#14556565C2312yes—
377#14556565C2312yes—
378#14556565C2314yescomplemented
379#14556565C2314yescomplemented
380#14556565C2314yescomplemented
381#14556565C2314yescomplemented
382#14556565C2314yescomplemented
383#14556564C2314yescomplemented
384#14556564C2314yescomplemented
385#14556564C2314yescomplemented
386#14556564C2314yescomplemented
387#14556564C2314yescomplemented
388#14556564C2314yescomplemented
389#14556564C2314yescomplemented
390#14556564C2314yescomplemented
391#14556564C2314yescomplemented
392#14556564C2314yescomplemented
393#14556563C2314yes—
394#14556563C2314yes—
395#14556563C2314yes—
396#14556563C2314yes—
397#14556563C2314yes—
398#14556563C2314yes—
399#14556563C2314yes—
400#14556563C2314yes—
401#14556563C2314yes—
402#14556563C2314yes—
403#14556563C2314yes—
404#14556563C2314yes—
405#14556563C2314yes—
406#14556563C2314yes—
407#14556563C2314yes—
408#14556563C2314yes—
409#14556563C2314yes—
410#14556563C2314yes—
411#14556563C2314yes—
412#14556563C2314yes—
413#14556563C2314yes—
414#14556563C2314yes—
415#14556563C2314yescomplemented
416#14556563C2314yescomplemented
417#14556563C2314yescomplemented
418#14556563C2314yescomplemented
419#14556563C2314yescomplemented
420#14556563C2314yescomplemented
421#14556563C2314yescomplemented
422#14556563C2314yescomplemented
423#14556563C2314yescomplemented
424#14556563C2314yescomplemented
425#14556563C2314yescomplemented
426#14556563C2314yescomplemented
427#14556563C2314yescomplemented
428#14556563C2314yescomplemented
429#14556563C2314yescomplemented
430#14556563C2314yescomplemented
431#14556563C2314yescomplemented
432#14556563C2314yescomplemented
433#14556563C2314yescomplemented
434#14556563C2314yescomplemented
435#14556562C2314yescomplemented
436#14556562C2314yescomplemented
437#14556562C2314yescomplemented
438#14556562C2314yescomplemented
439#14556562C2314yescomplemented
440#14556562C2314yescomplemented
441#14556562C2314yescomplemented
442#14556562C2314yescomplemented
443#14556561C2314yes—
444#14556561C2314yes—
445#14556561C2314yes—
446#14556561C2314yescomplemented
447#14556561C2314yescomplemented
448#14556561C2314yescomplemented
449#14556560C2314yes—
450#14556560C2314yes—
451#14556560C2314yes—
452#14556560C2314yes—
453#14556560C2314yes—
454#14556560C2314yes—
455#14556560C2314yes—
456#14556560C2314yescomplemented
457#14556560C2314yescomplemented
458#14556560C2314yescomplemented
459#14556559C2314yes—
460#14556559C2314yes—
461#14556559C2314yes—
462#14556559C2314yescomplemented
463#14556559C2314yescomplemented
464#14556559C2314yescomplemented
465#14556559C2314yescomplemented
466#14556559C2314yescomplemented
467#14556559C2314yescomplemented
468#14556559C2314yescomplemented
469#14556559C2314yescomplemented
470C4×Dic146C2314yescomplemented
471#14556556C2314yescomplemented
472C4×D292C2314yescomplemented
473D4×Dic73C2314yes—
474D4×Dic73C2314yes—
475D4×Dic73C2314yes—
476D4×Dic73C2314yes—
477D4×Dic73C2314yes—
478D4×Dic73C2314yes—
479D4×Dic73C2314yescomplemented
480D4×Dic73C2314yescomplemented
481D4×Dic73C2314yescomplemented
482D4×Dic73C2314yescomplemented
483D4×Dic73C2314yescomplemented
484D4×Dic73C2314yescomplemented
485D4×Dic73C2314yescomplemented
486D4×Dic73C2314yescomplemented
487#14556553C2314yescomplemented
488C4×C22⋊D73C2314yes—
489C4×C22⋊D73C2314yes—
490C4×C22⋊D73C2314yescomplemented
491C4×C22⋊D73C2314yescomplemented
492C4×C22⋊D73C2314yescomplemented
493C4×C22⋊D73C2314yescomplemented
494C4×C22⋊D73C2314yescomplemented
495C4×C22⋊D73C2314yescomplemented
496C4×C22⋊D73C2314yescomplemented
497C4×C22⋊D73C2314yescomplemented
498#14556551C2314yes—
499#14556551C2314yes—
500#14556551C2314yes—
501#14556551C2314yes—
502#14556551C2314yes—
503#14556551C2314yes—
504#14556551C2314yescomplemented
505#14556551C2314yescomplemented
506#14556551C2314yescomplemented
507#14556551C2314yescomplemented
508#14556551C2314yescomplemented
509#14556551C2314yescomplemented
510#14556551C2314yescomplemented
511#14556551C2314yescomplemented
512#14556551C2314yescomplemented
513#14556551C2314yescomplemented
514#14556550C2312yes—
515#14556550C2314yescomplemented
516#14556549C2314yescomplemented
517#14556548C2314yescomplemented
518#14556548C2314yescomplemented
519#14556547C2314yes—
520#14556547C2314yes—
521#14556547C2314yes—
522#14556547C2314yescomplemented
523#14556547C2314yescomplemented
524#14556547C2314yescomplemented
525#14556547C2314yescomplemented
526C2×C4⋊Dic73C2312yescomplemented
527C2×C4⋊Dic73C2312yescomplemented
528C2×#11924007C2312yes—
529C2×#11924007C2312yes—
530C2×#11924007C2312yes—
531C2×#11924007C2312yes—
532C2×#11924007C2314yes—
533C2×#11924007C2312yescomplemented
534C2×#11924007C2314yescomplemented
535C2×#11924007C2312yescomplemented
536C2×#11924007C2312yescomplemented
537C2×#11924007C2312yescomplemented
538C4⋊C4×D73C2314yescomplemented
539C2×C22⋊Dic73C2312yes—
540C2×C22⋊Dic73C2312yes—
541C2×C22⋊Dic73C2312yes—
542C2×C22⋊Dic73C2312yes—
543C2×C22⋊Dic73C2312yes—
544C2×C22⋊Dic73C2312yes—
545C2×C22⋊Dic73C2312yes—
546C2×C22⋊Dic73C2312yes—
547C2×C22⋊Dic73C2312yes—
548C2×C22⋊Dic73C2314yes—
549C2×C22⋊Dic73C2312yes—
550C2×C22⋊Dic73C2312yescomplemented
551C2×C22⋊Dic73C2314yescomplemented
552C2×C22⋊Dic73C2312yescomplemented
553C2×#11924005C2312yes—
554C2×#11924005C2312yes—
555C2×#11924005C2312yes—
556C2×#11924005C2314yes—
557C2×#11924005C2312yes—
558C2×#11924005C2312yescomplemented
559C2×#11924005C2314yescomplemented
560C2×#11924005C2312yescomplemented
561C22⋊C4×D73C2314yes—
562C22⋊C4×D73C2314yes—
563C22⋊C4×D73C2314yes—
564C22⋊C4×D73C2314yescomplemented
565C22⋊C4×D73C2314yescomplemented
566C2×C4×Dic73C2312yescomplemented
567C2×C4×Dic73C2312yescomplemented
568C25×C73C2311yescharacteristic
569C25×C73C2311yescharacteristic
570H(5,𝔽2)×C73—44no—
571C2×#41×C73C2312yes—
572C2×#41×C73C2314yescomplemented
573C22×D4×C73—44no—
574C22×D4×C73C2311yescharacteristic
575C22×D4×C73C2312yes—
576C22×D4×C73C2311yescharacteristic
577C22×D4×C73C2311yescharacteristic
578C22×D4×C73C2312yes—
579C22×D4×C73C2312yes—
580C22×D4×C73C2311yescharacteristic
581C22×D4×C73C2312yes—
582C22×D4×C73C2312yes—
583C22×D4×C73C2312yes—
584C22×D4×C73C2314yes—
585C22×D4×C73C2314yes—
586C22×D4×C73C2314yescomplemented
587C23×C4×C73C2311yescharacteristic
588#127×C73C2314yescomplemented
589#124×C73C2314yescomplemented
590#123×C73C2314yes—
591#123×C73C2314yescomplemented
592#123×C73C2314yescomplemented
593C22⋊Q8×C73C2312yes—
594C22⋊Q8×C73C2312yes—
595#121×C73C2312yes—
596#121×C73C2312yes—
597#121×C73C2314yescomplemented
598#121×C73C2314yescomplemented
599#121×C73C2314yescomplemented
600#121×C73C2314yescomplemented
601#121×C73C2314yescomplemented
602#121×C73C2314yescomplemented
603#120×C73C2314yes—
604#120×C73C2314yes—
605#120×C73C2314yes—
606#120×C73C2314yes—
607#120×C73C2314yes—
608#120×C73C2314yes—
609#120×C73C2314yes—
610#120×C73C2314yescomplemented
611#120×C73C2314yescomplemented
612C4×D4×C73C2314yes—
613C4×D4×C73C2314yes—
614C4×D4×C73C2314yescomplemented
615C4×D4×C73C2314yescomplemented
616#117×C73C2312yes—
617C2×C22⋊C4×C73C2312yes—
618C2×C22⋊C4×C73C2312yes—
619C2×C22⋊C4×C73C2312yes—
620C2×C22⋊C4×C73C2312yes—
621C2×C22⋊C4×C73C2312yes—
622C2×C22⋊C4×C73C2312yes—
623C23×D73—42no—
624C23×D73—42no—
625C23×D73—42no—
626C23×D73C2412yes—
627C23×D73C2412yes—
628C23×D73C2412yes—
629C23×D73C2412yes—
630C23×D73C2412yes—
631C23×D73C2414yes—
632#11924028—48no—
633#11924028—44no—
634#11924028—48no—
635#11924027—216no—
636#11924027—48no—
637#11924027—48no—
638#11924027—48no—
639#11924027—48no—
640#11924027—48no—
641#11924027—48no—
642#11924027—48no—
643C2×Dic146—44no—
644C2×Dic146C2414yes—
645C2×Dic146C2414yes—
646C2×Dic146C2414yes—
647C2×Dic146C2412yes—
648C2×D292C2414yes—
649C2×D292C2414yes—
650C2×D292C2414yes—
651C2×D292C2412yes—
652C2×C22⋊D73—28no—
653C2×C22⋊D73—28no—
654C2×C22⋊D73—28no—
655C2×C22⋊D73—44no—
656C2×C22⋊D73—48no—
657C2×C22⋊D73—44no—
658C2×C22⋊D73—44no—
659C2×C22⋊D73—48no—
660C2×C22⋊D73—44no—
661C2×C22⋊D73—44no—
662C2×C22⋊D73—48no—
663C2×C22⋊D73—48no—
664C2×C22⋊D73—44no—
665C2×C22⋊D73—44no—
666C2×C22⋊D73—44no—
667C2×C22⋊D73—44no—
668C2×C22⋊D73—44no—
669C2×C22⋊D73—48no—
670C2×C22⋊D73C2414yes—
671C2×C22⋊D73C2414yes—
672C2×C22⋊D73C2414yes—
673C2×C22⋊D73C2414yes—
674C2×C22⋊D73C2414yes—
675C2×C22⋊D73C2414yes—
676C2×C22⋊D73C2414yes—
677C2×C22⋊D73C2414yes—
678C2×C22⋊D73C2414yes—
679C2×C22⋊D73C2414yes—
680C2×C22⋊D73C2414yes—
681C2×C22⋊D73C2414yes—
682C2×C22⋊D73C2414yes—
683C2×C22⋊D73C2414yes—
684C2×C22⋊D73C2414yes—
685C2×C22⋊D73C2414yes—
686C2×C22⋊D73C2414yes—
687C2×C22⋊D73C2414yes—
688C2×C22⋊D73C2414yes—
689C2×C22⋊D73C2414yes—
690C2×C22⋊D73C2414yes—
691C2×C22⋊D73C2414yes—
692C2×C22⋊D73C2414yes—
693D4×D73—48no—
694D4×D73—48no—
695D4×D73—48no—
696D4×D73—48no—
697D4×D73—48no—
698D4×D73—48no—
699C22×Dic73—24no—
700C22×Dic73—28no—
701C22×Dic73—44no—
702C22×Dic73—44no—
703C22×Dic73—44no—
704C22×Dic73—44no—
705C22×Dic73—44no—
706C22×Dic73—44no—
707C22×Dic73—42no—
708C22×Dic73—42no—
709C22×Dic73C2412yes—
710C22×Dic73C2412yes—
711C22×Dic73C2412yes—
712C22×Dic73C2412yes—
713C22×Dic73C2412yes—
714C22×Dic73C2412yes—
715C22×Dic73C2411yescharacteristic
716C22×Dic73C2412yes—
717C22×Dic73C2414yes—
718C22×Dic73C2412yes—
719C22×Dic73C2412yes—
720C22×Dic73C2412yes—
721C22×Dic73C2411yescharacteristic
722C22×Dic73C2412yes—
723C22×Dic73C2411yescharacteristic
724C22×Dic73C2412yes—
725C22×Dic73C2412yes—
726C22×Dic73C2414yes—
727C22×Dic73C2412yes—
728C22×Dic73C2412yes—
729C22×Dic73C2412yes—
730C22×Dic73C2412yes—
731C22×Dic73C2412yes—
732C22×Dic73C2412yes—
733C22×Dic73C2414yes—
734C22×Dic73C2412yes—
735C22×Dic73C2412yes—
736C22×Dic73C2411yescharacteristic
737C2×C4×D73—44no—
738C2×C4×D73C2414yes—
739C2×C4×D73C2414yes—
740C2×C4×D73C2414yes—
741C2×C4×D73C2414yes—
742C2×C4×D73C2414yes—
743C2×C4×D73C2414yes—
744C2×C4×D73C2414yes—
745C4⋊Dic73C2414yes—
746C4⋊Dic73C2414yes—
747C4⋊Dic73C2414yes—
748C4⋊Dic73C2414yes—
749C4⋊Dic73C2414yes—
750C4⋊Dic73C2412yes—
751C4⋊Dic73C2412yes—
752C4⋊Dic73C2414yes—
753#11924007C2414yes—
754#11924007C2414yes—
755#11924007C2414yes—
756#11924007C2414yes—
757#11924007C2414yes—
758#11924007C2414yes—
759#11924007C2414yes—
760#11924007C2414yes—
761#11924007C2414yes—
762#11924007C2414yes—
763#11924007C2414yes—
764#11924007C2414yes—
765#11924007C2414yes—
766#11924007C2414yes—
767#11924007C2414yes—
768#11924007C2414yes—
769#11924007C2414yes—
770#11924007C2414yes—
771C22⋊Dic73C2414yes—
772C22⋊Dic73C2414yes—
773C22⋊Dic73C2414yes—
774C22⋊Dic73C2414yes—
775C22⋊Dic73C2414yes—
776C22⋊Dic73C2414yes—
777C22⋊Dic73C2414yes—
778C22⋊Dic73C2414yes—
779C22⋊Dic73C2414yes—
780C22⋊Dic73C2414yes—
781C22⋊Dic73C2414yes—
782C22⋊Dic73C2414yes—
783C22⋊Dic73C2414yes—
784C22⋊Dic73C2414yes—
785C22⋊Dic73C2414yes—
786C22⋊Dic73C2414yes—
787C22⋊Dic73C2414yes—
788C22⋊Dic73C2414yes—
789C22⋊Dic73C2414yes—
790#11924005C2414yes—
791#11924005C2414yes—
792#11924005C2414yes—
793#11924005C2414yes—
794#11924005C2414yes—
795#11924005C2414yes—
796#11924005C2414yes—
797#11924005C2414yes—
798#11924005C2414yes—
799#11924005C2414yes—
800#11924005C2414yes—
801#11924005C2414yes—
802#11924005C2414yes—
803#11924005C2414yes—
804#11924005C2414yes—
805#11924005C2414yes—
806#11924005C2414yes—
807#11924005C2414yes—
808C4×Dic73C2414yes—
809C4×Dic73C2414yes—
810C4×Dic73C2414yes—
811C4×Dic73C2414yes—
812C4×Dic73C2414yes—
813C4×Dic73C2414yes—
814C4×Dic73C2414yes—
815C24×C73—24no—
816C24×C73—42no—
817C24×C73—42no—
818C24×C73—42no—
819C24×C73—42no—
820C24×C73—42no—
821C24×C73C2411yescharacteristic
822C24×C73C2412yes—
823C24×C73C2412yes—
824C24×C73C2411yescharacteristic
825C24×C73C2412yes—
826C24×C73C2412yes—
827C24×C73C2411yescharacteristic
828C24×C73C2411yescharacteristic
829C24×C73C2412yes—
830C24×C73C2412yes—
831C24×C73C2411yescharacteristic
832#41×C73—44no—
833#41×C73—48no—
834C2×Q8×C73C2412yes—
835C2×D4×C73—24no—
836C2×D4×C73—24no—
837C2×D4×C73—28no—
838C2×D4×C73—42no—
839C2×D4×C73—42no—
840C2×D4×C73—48no—
841C2×D4×C73—48no—
842C2×D4×C73—44no—
843C2×D4×C73—44no—
844C2×D4×C73—44no—
845C2×D4×C73—44no—
846C2×D4×C73—44no—
847C2×D4×C73—48no—
848C2×D4×C73C2414yes—
849C2×D4×C73C2414yes—
850C2×D4×C73C2414yes—
851C2×D4×C73C2414yes—
852C2×D4×C73C2414yes—
853C2×D4×C73C2414yes—
854C2×D4×C73C2414yes—
855C2×D4×C73C2414yes—
856C2×D4×C73C2414yes—
857C2×D4×C73C2414yes—
858C2×D4×C73C2414yes—
859C2×D4×C73C2414yes—
860C2×D4×C73C2412yes—
861C2×D4×C73C2414yes—
862C22×C4×C73—42no—
863C22×C4×C73C2412yes—
864C22×C4×C73C2411yescharacteristic
865C22×C4×C73C2411yescharacteristic
866C22×C4×C73C2412yes—
867C22×C4×C73C2412yes—
868C22×C4×C73C2412yes—
869C22×C4×C73C2412yes—
870C22×C4×C73C2412yes—
871C22×C4×C73C2412yes—
872C22×C4×C73C2412yes—
873C22×C4×C73C2414yes—
874C4⋊C4×C73C2412yes—
875C4⋊C4×C73C2412yes—
876C4⋊C4×C73C2414yes—
877C4⋊C4×C73C2414yes—
878C22⋊C4×C73C2414yes—
879C22⋊C4×C73C2414yes—
880C22⋊C4×C73C2414yes—
881C22⋊C4×C73C2414yes—
882C22⋊C4×C73C2414yes—
883C22⋊C4×C73C2414yes—
884C22⋊C4×C73C2414yes—
885C22⋊C4×C73C2414yes—
886C22⋊C4×C73C2414yes—
887C22⋊C4×C73C2414yes—
888C22⋊C4×C73C2414yes—
889C42×C73C2414yes—
890C23×C73—22no—
891C23×C73—22no—
892C23×C73—22no—
893C23×C73—24no—
894C23×C73—24no—
895C23×C73—22no—
896C23×C73—24no—
897C23×C73—24no—
898C23×C73—22no—
899C23×C73—24no—
900C23×C73—22no—
901C23×C73—24no—
902C23×C73—24no—
903C23×C73—41no—
904C23×C73—42no—
905C23×C73—41no—
906C23×C73—41no—
907C23×C73—42no—
908C23×C73—41no—
909C23×C73—42no—
910C23×C73—42no—
911C23×C73—42no—
912C23×C73—42no—
913C23×C73—41no—
914C23×C73—42no—
915C23×C73—41no—
916C23×C73—41no—
917C23×C73—42no—
918C23×C73—41no—
919C23×C73—42no—
920C23×C73—42no—
921C23×C73—42no—
922C23×C73—416no—
923C23×C73—88no—
924C23×C73H(5,𝔽2)14yescomplemented
925C23×C73C2512yes—
926C23×C73C2512yes—
927C23×C73C2512yes—
928C23×C73C2514yes—
929C23×C73C2511yescharacteristic
930C23×C73C2511yescharacteristic
931C23×C73C2512yes—
932C23×C73C2511yescharacteristic
933C22×D73—24no—
934C22×D73—24no—
935C22×D73—24no—
936C22×D73—24no—
937C22×D73—42no—
938C22×D73—42no—
939C22×D73—42no—
940C22×D73—42no—
941C22×D73—42no—
942C22×D73—42no—
943C22×D73—42no—
944C22×D73—42no—
945C22×D73—42no—
946C22×D73—44no—
947C22×D73—42no—
948C22×D73—44no—
949C22×D73—44no—
950C22×D73—42no—
951C22×D73—88no—
952C22×D73C2514yes—
953C22×D73C2514yes—
954Q8×C73—42no—
955D4×C73—28no—
956D4×C73—28no—
957D4×C73—28no—
958D4×C73—28no—
959D4×C73—28no—
960D4×C73—28no—
961D4×C73—44no—
962D4×C73—44no—
963D4×C73—44no—
964D4×C73—42no—
965D4×C73—44no—
966D4×C73—44no—
967D4×C73—44no—
968D4×C73—44no—
969C2×C4×C73—22no—
970C2×C4×C73—22no—
971C2×C4×C73—24no—
972C2×C4×C73—42no—
973C2×C4×C73—42no—
974C2×C4×C73—42no—
975C2×C4×C73—42no—
976C2×C4×C73—42no—
977C2×C4×C73—44no—
978C2×C4×C73—42no—
979C2×C4×C73—42no—
980C2×C4×C73C2512yes—
981C2×C4×C73C2514yes—
982C2×C4×C73C2514yes—
983C2×C4×C73C2514yes—
984C2×C4×C73C2512yes—
985C22⋊D73—28no—
986C22⋊D73—28no—
987C22⋊D73—28no—
988C22⋊D73—28no—
989C22⋊D73—28no—
990C22⋊D73—28no—
991C22⋊D73—28no—
992C22⋊D73—28no—
993C22⋊D73—28no—
994C22⋊D73—44no—
995C22⋊D73—44no—
996C22⋊D73—44no—
997C22⋊D73—44no—
998C22⋊D73—44no—
999C22⋊D73—44no—
1000C22⋊D73—44no—
1001C22⋊D73—44no—
1002C22⋊D73—44no—
1003C22⋊D73—44no—
1004C22⋊D73—44no—
1005C22⋊D73—44no—
1006C22⋊D73—44no—
1007C22⋊D73—44no—
1008C2×Dic73—22no—
1009C2×Dic73—24no—
1010C2×Dic73—24no—
1011C2×Dic73—24no—
1012C2×Dic73—24no—
1013C2×Dic73—24no—
1014C2×Dic73—24no—
1015C2×Dic73—24no—
1016C2×Dic73—24no—
1017C2×Dic73—24no—
1018C2×Dic73—28no—
1019C2×Dic73—41no—
1020C2×Dic73—42no—
1021C2×Dic73—42no—
1022C2×Dic73—42no—
1023C2×Dic73—41no—
1024C2×Dic73—42no—
1025C2×Dic73—42no—
1026C2×Dic73—42no—
1027C2×Dic73—42no—
1028C2×Dic73—42no—
1029C2×Dic73—44no—
1030C2×Dic73—42no—
1031C2×Dic73—42no—
1032C2×Dic73—42no—
1033C2×Dic73—42no—
1034C2×Dic73—44no—
1035C2×Dic73H(5,𝔽2)14yescomplemented
1036C2×Dic73C2512yes—
1037C2×Dic73C2514yes—
1038C2×Dic73C2514yes—
1039C2×Dic73C2514yes—
1040C2×Dic73C2514yes—
1041C2×Dic73C2512yes—
1042C2×Dic73C2512yes—
1043C2×Dic73C2512yes—
1044D292—44no—
1045D292—42no—
1046D292—44no—
1047D292—44no—
1048C4×D73—28no—
1049C4×D73—44no—
1050C4×D73—44no—
1051C4×D73—44no—
1052C4×D73—44no—
1053C4×D73—44no—
1054C4×D73—44no—
1055Dic146—28no—
1056Dic146—44no—
1057Dic146—42no—
1058Dic146—44no—
1059C22×C73—28no—
1060C22×C73—22no—
1061C22×C73—21no—
1062C22×C73—21no—
1063C22×C73—21no—
1064C22×C73—21no—
1065C22×C73—22no—
1066C22×C73—21no—
1067C22×C73—21no—
1068C22×C73—22no—
1069C22×C73—24no—
1070C22×C73—22no—
1071C22×C73—24no—
1072C22×C73—22no—
1073C22×C73—22no—
1074C22×C73—22no—
1075C22×C73—22no—
1076C22×C73—22no—
1077C22×C73—22no—
1078C22×C73—22no—
1079C22×C73—24no—
1080C22×C73—44no—
1081C22×C73—48no—
1082C22×C73—48no—
1083C22×C73—44no—
1084C22×C73—84no—
1085C22×C73—82no—
1086C22×C73—84no—
1087C22×C73—82no—
1088C22×C73—84no—
1089C22×C73—162no—
1090C22×C73C2×H(5,𝔽2)12yes—
1091C22×C73C2×H(5,𝔽2)12yes—
1092C22×C73C2×H(5,𝔽2)14yes—
1093C22×C73#58512yes—
1094C22×C73C2611yescharacteristic
1095C2×D73—24no—
1096C2×D73—24no—
1097C2×D73—24no—
1098C2×D73—24no—
1099C2×D73—24no—
1100C2×D73—24no—
1101C2×D73—84no—
1102C2×D73—84no—
1103C2×D73—84no—
1104C2×D73—84no—
1105C2×D73—164no—
1106C2×D73—162no—
1107C4×C73—24no—
1108C4×C73—22no—
1109C4×C73—24no—
1110C4×C73—22no—
1111C4×C73—24no—
1112Dic73—24no—
1113Dic73—24no—
1114Dic73—22no—
1115Dic73—24no—
1116Dic73—22no—
1117Dic73—22no—
1118Dic73—24no—
1119Dic73C2×H(5,𝔽2)14yes—
1120#62818—731nomaximal, Sylow
1121C2×C73—22no—
1122C2×C73—22no—
1123C2×C73—22no—
1124C2×C73—24no—
1125C2×C73—42no—
1126C2×C73—44no—
1127C2×C73—42no—
1128C2×C73—42no—
1129C2×C73C22×H(5,𝔽2)11yescharacteristic
1130C2×C73C22×H(5,𝔽2)11yescharacteristic
1131C2×C73C2×#58511yescharacteristic
1132D73—44no—
1133D73—44no—
1134#3542—734no—
1135#3542—734no—
1136#3537—734no—
1137#3536—734no—
1138#3534—734no—
1139#3534—734no—
1140#3519—734no—
1141#3519—734no—
1142#3505—732no—
1143#3505—732no—
1144#3496—732no—
1145#3496—732no—
1146#3494—734no—
1147#3492—732no—
1148#3490—732no—
1149#3490—732no—
1150#3488—734no—
1151#3484—731no—
1152#3484—732no—
1153#3484—732no—
1154#3484D7311yescharacteristic, complemented
1155C2×#525—732no—
1156C22×#121—731no—
1157C73#6281811yescharacteristic, complemented, Sylow
1158C2×H(5,𝔽2)—732no—
1159C2×H(5,𝔽2)—731no—
1160C2×H(5,𝔽2)—732no—
1161C2×H(5,𝔽2)C2×D7311yescharacteristic, complemented
1162C22×#41—732no—
1163C23×D4—731no—
1164C23×D4—731no—
1165C23×D4C2×D7311yescharacteristic, complemented
1166C24×C4—731no—
1167#562—734no—
1168#562—734no—
1169#562—734no—
1170#562—734no—
1171#560—734no—
1172#560—734no—
1173#560—734no—
1174#560—734no—
1175#555—734no—
1176#555—734no—
1177#554—734no—
1178#554—734no—
1179#553—734no—
1180#553—734no—
1181#553—734no—
1182#553—734no—
1183#553—734no—
1184#553—734no—
1185#553—734no—
1186#553—734no—
1187#553—734no—
1188#553—734no—
1189#552—734no—
1190#552—734no—
1191#551—734no—
1192#551—734no—
1193#551—734no—
1194#551—734no—
1195#551—734no—
1196#551—734no—
1197#551—734no—
1198#551—734no—
1199#550—734no—
1200#550—734no—
1201#548—734no—
1202#548—734no—
1203#547—734no—
1204#547—734no—
1205#547—734no—
1206#547—734no—
1207#546—734no—
1208#546—734no—
1209#546—734no—
1210#546—734no—
1211#546—734no—
1212#546—734no—
1213#546—734no—
1214#546—734no—
1215#546—734no—
1216#546—734no—
1217#546—734no—
1218#546—734no—
1219#546—734no—
1220#546—734no—
1221#546—734no—
1222#546—734no—
1223#546—734no—
1224#546—734no—
1225#546—734no—
1226#546—734no—
1227#546—734no—
1228#546—734no—
1229#546—734no—
1230#546—734no—
1231#546C2×D7314yescomplemented
1232#546C2×D7314yescomplemented
1233D42—734no—
1234D42—734no—
1235D42—734no—
1236D42—734no—
1237D42—734no—
1238D42—734no—
1239D42—734no—
1240D42—734no—
1241D42—734no—
1242D42—734no—
1243D42—734no—
1244D42—734no—
1245D42C2×D7314yescomplemented
1246D42C2×D7314yescomplemented
1247#544—732no—
1248#543—732no—
1249#543—732no—
1250#542—734no—
1251#542—734no—
1252#540—734no—
1253#540—734no—
1254#540—734no—
1255#540—734no—
1256#540—734no—
1257#540—734no—
1258#539—734no—
1259#539—732no—
1260#539—732no—
1261#539—734no—
1262#539—734no—
1263#538—734no—
1264#538—732no—
1265#538—732no—
1266#538—734no—
1267#538—734no—
1268#538—734no—
1269#538—734no—
1270#538—734no—
1271#538—734no—
1272#538—734no—
1273#538—734no—
1274#537—734no—
1275#537—732no—
1276#537—734no—
1277#537—734no—
1278#537—734no—
1279#535—732no—
1280#535—734no—
1281#535—734no—
1282#535—734no—
1283#535—734no—
1284#535C2×D7312yescomplemented
1285#534—732no—
1286#534—732no—
1287#534—732no—
1288#534—732no—
1289#534—732no—
1290#534—734no—
1291#534—732no—
1292#534—734no—
1293#534—734no—
1294#534—734no—
1295#534—732no—
1296#534—732no—
1297#534C2×D7312yescomplemented
1298#534C2×D7312yescomplemented
1299#532—734no—
1300#532—734no—
1301#529—734no—
1302#529—734no—
1303#525—732no—
1304#525—734no—
1305#525—734no—
1306#525—734no—
1307#525—734no—
1308#525—734no—
1309#525—734no—
1310#525—734no—
1311#525—734no—
1312#525—734no—
1313#525—734no—
1314#525—734no—
1315#525C2×D7312yescomplemented
1316C2×#123—732no—
1317C2×#123—732no—
1318C2×C22⋊Q8—732no—
1319C2×C22⋊Q8—732no—
1320C2×#121—734no—
1321C2×#121—732no—
1322C2×#121—732no—
1323C2×#121—734no—
1324C2×#121—734no—
1325C2×#121—734no—
1326C2×#121—732no—
1327C2×#121—732no—
1328C2×#121—732no—
1329C2×#121—732no—
1330C2×#121—734no—
1331C2×#121—734no—
1332C2×#120—732no—
1333C2×#120—732no—
1334C2×#120—734no—
1335C2×#120C2×D7312yescomplemented
1336C2×#120C2×D7312yescomplemented
1337#520—734no—
1338#518—731no—
1339#518—732no—
1340#518—734no—
1341#518—732no—
1342#518—732no—
1343#518—732no—
1344#518C2×D7311yescharacteristic, complemented
1345C2×C4×D4—732no—
1346C2×C4×D4—732no—
1347C2×C4×D4—732no—
1348C2×C4×D4—732no—
1349C2×#117—732no—
1350C22×C4⋊C4—731no—
1351C22×C22⋊C4—731no—
1352C22×C22⋊C4—731no—
1353C25—731no—
1354C25C22×D7311yescharacteristic
1355C25C22×D7311yescharacteristic
1356H(5,𝔽2)—44no—
1357H(5,𝔽2)—2924no—
1358H(5,𝔽2)—2928no—
1359H(5,𝔽2)—2928no—
1360C2×#41—2928no—
1361C2×#41—734no—
1362C2×#41—734no—
1363C2×#41—734no—
1364C2×#41—734no—
1365C2×#41—734no—
1366C2×#41—734no—
1367C2×#41—734no—
1368C2×#41—734no—
1369C2×#41—732no—
1370C2×#41—734no—
1371C2×#41—734no—
1372C2×#41C22×D7312yes—
1373C2×#41C22×D7314yescomplemented
1374C22×Q8—732no—
1375C22×D4—44no—
1376C22×D4—2924no—
1377C22×D4—2924no—
1378C22×D4—732no—
1379C22×D4—732no—
1380C22×D4—732no—
1381C22×D4—732no—
1382C22×D4—732no—
1383C22×D4—732no—
1384C22×D4—732no—
1385C22×D4—732no—
1386C22×D4—734no—
1387C22×D4—734no—
1388C22×D4—732no—
1389C22×D4—734no—
1390C22×D4—732no—
1391C22×D4—734no—
1392C22×D4—734no—
1393C22×D4—734no—
1394C22×D4—734no—
1395C22×D4—734no—
1396C22×D4—734no—
1397C22×D4—734no—
1398C22×D4—734no—
1399C22×D4—732no—
1400C22×D4—732no—
1401C22×D4—732no—
1402C22×D4C22×D7312yes—
1403C22×D4C22×D7311yescharacteristic
1404C22×D4C22×D7311yescharacteristic
1405C22×D4C22×D7312yes—
1406C22×D4C22×D7312yes—
1407C22×D4C22×D7312yes—
1408C22×D4C22×D7312yes—
1409C22×D4C22×D7312yes—
1410C22×D4C22×D7311yescharacteristic
1411C22×D4C22×D7311yescharacteristic
1412C22×D4C22×D7314yes—
1413C22×D4C22×D7314yes—
1414C22×D4C22×D7314yescomplemented
1415C23×C4—2924no—
1416C23×C4—731no—
1417C23×C4—731no—
1418C23×C4—732no—
1419C23×C4—732no—
1420C23×C4—732no—
1421C23×C4—732no—
1422C23×C4—732no—
1423C23×C4—732no—
1424C23×C4—732no—
1425C23×C4—731no—
1426C23×C4—732no—
1427C23×C4C22×D7311yescharacteristic
1428C4⋊Q8—734no—
1429C4⋊Q8—734no—
1430#127—734no—
1431#127—734no—
1432#127—734no—
1433#127—734no—
1434#127—734no—
1435#127C22×D7314yescomplemented
1436#126—734no—
1437#126—734no—
1438#126—734no—
1439#126—734no—
1440#126—734no—
1441#126—734no—
1442#126—734no—
1443#126—734no—
1444#126—734no—
1445#126—734no—
1446#126—734no—
1447#126—734no—
1448#125—734no—
1449#125—734no—
1450#125—734no—
1451#125—734no—
1452#125—734no—
1453#125—734no—
1454#124—734no—
1455#124—734no—
1456#124—734no—
1457#124—734no—
1458#124—734no—
1459#124—734no—
1460#124—734no—
1461#124—734no—
1462#124—734no—
1463#124—734no—
1464#124—734no—
1465#124—734no—
1466#124—734no—
1467#124C22×D7314yescomplemented
1468#123—734no—
1469#123—734no—
1470#123—734no—
1471#123—734no—
1472#123—734no—
1473#123—734no—
1474#123—734no—
1475#123—734no—
1476#123—734no—
1477#123—734no—
1478#123—734no—
1479#123—734no—
1480#123—734no—
1481#123—734no—
1482#123—734no—
1483#123—734no—
1484#123—734no—
1485#123—734no—
1486#123—734no—
1487#123—734no—
1488#123—734no—
1489#123—734no—
1490#123—734no—
1491#123—734no—
1492#123—734no—
1493#123—734no—
1494#123—734no—
1495#123—734no—
1496#123—734no—
1497#123—734no—
1498#123—734no—
1499#123—734no—
1500#123—734no—
1501#123—734no—
1502#123—734no—
1503#123—734no—
1504#123—734no—
1505#123C22×D7314yes—
1506#123C22×D7314yescomplemented
1507#123C22×D7314yescomplemented
1508C22⋊Q8—734no—
1509C22⋊Q8—734no—
1510C22⋊Q8—732no—
1511C22⋊Q8—732no—
1512C22⋊Q8—734no—
1513C22⋊Q8—734no—
1514C22⋊Q8—734no—
1515C22⋊Q8—734no—
1516C22⋊Q8—734no—
1517C22⋊Q8—734no—
1518C22⋊Q8—734no—
1519C22⋊Q8—734no—
1520C22⋊Q8—734no—
1521C22⋊Q8—734no—
1522C22⋊Q8—734no—
1523C22⋊Q8—734no—
1524C22⋊Q8—734no—
1525C22⋊Q8—734no—
1526C22⋊Q8—734no—
1527C22⋊Q8—734no—
1528C22⋊Q8—734no—
1529C22⋊Q8—734no—
1530C22⋊Q8—734no—
1531C22⋊Q8—734no—
1532C22⋊Q8—734no—
1533C22⋊Q8—734no—
1534C22⋊Q8C22×D7312yes—
1535C22⋊Q8C22×D7312yes—
1536#121—734no—
1537#121—734no—
1538#121—734no—
1539#121—734no—
1540#121—734no—
1541#121—734no—
1542#121—734no—
1543#121—734no—
1544#121—734no—
1545#121—734no—
1546#121—734no—
1547#121—734no—
1548#121—734no—
1549#121—734no—
1550#121—734no—
1551#121—734no—
1552#121—734no—
1553#121—734no—
1554#121—734no—
1555#121—734no—
1556#121—734no—
1557#121—734no—
1558#121—734no—
1559#121—734no—
1560#121—734no—
1561#121—734no—
1562#121—734no—
1563#121—734no—
1564#121—734no—
1565#121—734no—
1566#121—734no—
1567#121—734no—
1568#121—734no—
1569#121—734no—
1570#121—734no—
1571#121—734no—
1572#121—734no—
1573#121—734no—
1574#121—734no—
1575#121—734no—
1576#121—734no—
1577#121—734no—
1578#121—734no—
1579#121—734no—
1580#121—734no—
1581#121—734no—
1582#121—734no—
1583#121—734no—
1584#121—734no—
1585#121—734no—
1586#121—734no—
1587#121—732no—
1588#121—732no—
1589#121—734no—
1590#121—734no—
1591#121—734no—
1592#121—734no—
1593#121—734no—
1594#121—734no—
1595#121—734no—
1596#121—734no—
1597#121—734no—
1598#121—734no—
1599#121—734no—
1600#121—734no—
1601#121—734no—
1602#121—734no—
1603#121—734no—
1604#121C22×D7312yes—
1605#121C22×D7312yes—
1606#121C22×D7314yescomplemented
1607#121C22×D7314yescomplemented
1608#121C22×D7314yescomplemented
1609#121C22×D7314yescomplemented
1610#121C22×D7314yescomplemented
1611#121C22×D7314yescomplemented
1612#120—734no—
1613#120—734no—
1614#120—734no—
1615#120—734no—
1616#120—734no—
1617#120—734no—
1618#120—734no—
1619#120—734no—
1620#120—734no—
1621#120—734no—
1622#120—734no—
1623#120—734no—
1624#120—734no—
1625#120—734no—
1626#120—734no—
1627#120—734no—
1628#120—734no—
1629#120—734no—
1630#120—734no—
1631#120—734no—
1632#120—734no—
1633#120—734no—
1634#120—734no—
1635#120—734no—
1636#120—734no—
1637#120—734no—
1638#120—734no—
1639#120C22×D7314yes—
1640#120C22×D7314yes—
1641#120C22×D7314yes—
1642#120C22×D7314yes—
1643#120C22×D7314yes—
1644#120C22×D7314yes—
1645#120C22×D7314yes—
1646#120C22×D7314yescomplemented
1647#120C22×D7314yescomplemented
1648C4×Q8—734no—
1649C4×Q8—734no—
1650C4×D4—734no—
1651C4×D4—734no—
1652C4×D4—734no—
1653C4×D4—734no—
1654C4×D4—734no—
1655C4×D4—734no—
1656C4×D4—734no—
1657C4×D4—734no—
1658C4×D4—734no—
1659C4×D4—734no—
1660C4×D4—734no—
1661C4×D4—734no—
1662C4×D4—734no—
1663C4×D4—734no—
1664C4×D4—734no—
1665C4×D4—734no—
1666C4×D4—734no—
1667C4×D4—734no—
1668C4×D4—734no—
1669C4×D4—734no—
1670C4×D4—734no—
1671C4×D4—734no—
1672C4×D4—734no—
1673C4×D4—734no—
1674C4×D4—734no—
1675C4×D4—734no—
1676C4×D4—734no—
1677C4×D4—734no—
1678C4×D4—734no—
1679C4×D4—734no—
1680C4×D4—734no—
1681C4×D4—734no—
1682C4×D4—734no—
1683C4×D4—734no—
1684C4×D4—734no—
1685C4×D4—734no—
1686C4×D4—734no—
1687C4×D4—734no—
1688C4×D4—734no—
1689C4×D4—734no—
1690C4×D4—734no—
1691C4×D4—734no—
1692C4×D4C22×D7314yes—
1693C4×D4C22×D7314yes—
1694C4×D4C22×D7314yescomplemented
1695C4×D4C22×D7314yescomplemented
1696#117—732no—
1697#117—734no—
1698#117—734no—
1699#117—734no—
1700#117—734no—
1701#117—734no—
1702#117—734no—
1703#117—734no—
1704#117—734no—
1705#117—734no—
1706#117—734no—
1707#117—734no—
1708#117C22×D7312yes—
1709C2×C4⋊C4—732no—
1710C2×C4⋊C4—732no—
1711C2×C4⋊C4—732no—
1712C2×C4⋊C4—732no—
1713C2×C4⋊C4—734no—
1714C2×C4⋊C4—732no—
1715C2×C4⋊C4—732no—
1716C2×C4⋊C4—732no—
1717C2×C4⋊C4—732no—
1718C2×C4⋊C4—732no—
1719C2×C4⋊C4—732no—
1720C2×C4⋊C4—734no—
1721C2×C4⋊C4—734no—
1722C2×C22⋊C4—732no—
1723C2×C22⋊C4—732no—
1724C2×C22⋊C4—732no—
1725C2×C22⋊C4—732no—
1726C2×C22⋊C4—734no—
1727C2×C22⋊C4—732no—
1728C2×C22⋊C4—732no—
1729C2×C22⋊C4—732no—
1730C2×C22⋊C4—732no—
1731C2×C22⋊C4—732no—
1732C2×C22⋊C4—732no—
1733C2×C22⋊C4—732no—
1734C2×C22⋊C4—732no—
1735C2×C22⋊C4—734no—
1736C2×C22⋊C4—732no—
1737C2×C22⋊C4—732no—
1738C2×C22⋊C4—732no—
1739C2×C22⋊C4—732no—
1740C2×C22⋊C4—734no—
1741C2×C22⋊C4—732no—
1742C2×C22⋊C4—732no—
1743C2×C22⋊C4—734no—
1744C2×C22⋊C4—734no—
1745C2×C22⋊C4—734no—
1746C2×C22⋊C4—734no—
1747C2×C22⋊C4—734no—
1748C2×C22⋊C4—734no—
1749C2×C22⋊C4C22×D7312yes—
1750C2×C22⋊C4C22×D7312yes—
1751C2×C22⋊C4C22×D7312yes—
1752C2×C22⋊C4C22×D7312yes—
1753C2×C22⋊C4C22×D7312yes—
1754C2×C22⋊C4C22×D7312yes—
1755C2×C42—732no—
1756C2×C42—732no—
1757C24—24no—
1758C24—42no—
1759C24—42no—
1760C24—42no—
1761C24—42no—
1762C24—42no—
1763C24—2922no—
1764C24—2922no—
1765C24—2922no—
1766C24—734no—
1767C24—732no—
1768C24—732no—
1769C24—732no—
1770C24—732no—
1771C24—732no—
1772C24C23×D7311yescharacteristic
1773C24C23×D7312yes—
1774C24C23×D7312yes—
1775C24C23×D7311yescharacteristic
1776C24C23×D7312yes—
1777C24C23×D7312yes—
1778C24C23×D7311yescharacteristic
1779C24C23×D7312yes—
1780C24C23×D7311yescharacteristic
1781C24C23×D7312yes—
1782C24C23×D7311yescharacteristic
1783#41—44no—
1784#41—48no—
1785#41—2924no—
1786#41—2928no—
1787#41—2928no—
1788#41—2928no—
1789#41—2928no—
1790#41—2928no—
1791#41—2928no—
1792#41—2928no—
1793#41—2928no—
1794#41—2928no—
1795#41—14616no—
1796C2×Q8—2924no—
1797C2×Q8—734no—
1798C2×Q8—732no—
1799C2×Q8—734no—
1800C2×Q8—734no—
1801C2×Q8C23×D7312yes—
1802C2×D4—24no—
1803C2×D4—24no—
1804C2×D4—28no—
1805C2×D4—42no—
1806C2×D4—42no—
1807C2×D4—48no—
1808C2×D4—48no—
1809C2×D4—44no—
1810C2×D4—44no—
1811C2×D4—44no—
1812C2×D4—44no—
1813C2×D4—44no—
1814C2×D4—48no—
1815C2×D4—2928no—
1816C2×D4—2928no—
1817C2×D4—2928no—
1818C2×D4—2928no—
1819C2×D4—2928no—
1820C2×D4—2928no—
1821C2×D4—2928no—
1822C2×D4—2924no—
1823C2×D4—2924no—
1824C2×D4—2924no—
1825C2×D4—2924no—
1826C2×D4—2928no—
1827C2×D4—2924no—
1828C2×D4—2928no—
1829C2×D4—2924no—
1830C2×D4—2924no—
1831C2×D4—2924no—
1832C2×D4—2928no—
1833C2×D4—2924no—
1834C2×D4—2924no—
1835C2×D4—2928no—
1836C2×D4—734no—
1837C2×D4—734no—
1838C2×D4—734no—
1839C2×D4—734no—
1840C2×D4—734no—
1841C2×D4—734no—
1842C2×D4—734no—
1843C2×D4—734no—
1844C2×D4—734no—
1845C2×D4—734no—
1846C2×D4—734no—
1847C2×D4—734no—
1848C2×D4—734no—
1849C2×D4—734no—
1850C2×D4—734no—
1851C2×D4—734no—
1852C2×D4—734no—
1853C2×D4—734no—
1854C2×D4—734no—
1855C2×D4—734no—
1856C2×D4—734no—
1857C2×D4—734no—
1858C2×D4—734no—
1859C2×D4—734no—
1860C2×D4—734no—
1861C2×D4—734no—
1862C2×D4—732no—
1863C2×D4—1468no—
1864C2×D4—1468no—
1865C2×D4—1468no—
1866C2×D4C23×D7314yes—
1867C2×D4C23×D7314yes—
1868C2×D4C23×D7314yes—
1869C2×D4C23×D7314yes—
1870C2×D4C23×D7314yes—
1871C2×D4C23×D7314yes—
1872C2×D4C23×D7314yes—
1873C2×D4C23×D7314yes—
1874C2×D4C23×D7312yes—
1875C2×D4C23×D7314yes—
1876C2×D4C23×D7314yes—
1877C2×D4C23×D7314yes—
1878C2×D4C23×D7314yes—
1879C2×D4C23×D7314yes—
1880C22×C4—42no—
1881C22×C4—2924no—
1882C22×C4—2924no—
1883C22×C4—2922no—
1884C22×C4—2922no—
1885C22×C4—2924no—
1886C22×C4—2924no—
1887C22×C4—2924no—
1888C22×C4—2924no—
1889C22×C4—2924no—
1890C22×C4—732no—
1891C22×C4—731no—
1892C22×C4—732no—
1893C22×C4—731no—
1894C22×C4—732no—
1895C22×C4—732no—
1896C22×C4—732no—
1897C22×C4—732no—
1898C22×C4—732no—
1899C22×C4—732no—
1900C22×C4—734no—
1901C22×C4—732no—
1902C22×C4—732no—
1903C22×C4—734no—
1904C22×C4—732no—
1905C22×C4—732no—
1906C22×C4—734no—
1907C22×C4—734no—
1908C22×C4—734no—
1909C22×C4—734no—
1910C22×C4—734no—
1911C22×C4—734no—
1912C22×C4—731no—
1913C22×C4—732no—
1914C22×C4—732no—
1915C22×C4—732no—
1916C22×C4—732no—
1917C22×C4—732no—
1918C22×C4—732no—
1919C22×C4—732no—
1920C22×C4—731no—
1921C22×C4—734no—
1922C22×C4—732no—
1923C22×C4—732no—
1924C22×C4—734no—
1925C22×C4—1464no—
1926C22×C4—1468no—
1927C22×C4C23×D7312yes—
1928C22×C4C23×D7311yescharacteristic
1929C22×C4C23×D7311yescharacteristic
1930C22×C4C23×D7312yes—
1931C22×C4C23×D7312yes—
1932C22×C4C23×D7312yes—
1933C22×C4C23×D7314yes—
1934C22×C4C23×D7312yes—
1935C22×C4C23×D7312yes—
1936C22×C4C23×D7312yes—
1937C22×C4C23×D7312yes—
1938C4⋊C4—734no—
1939C4⋊C4—734no—
1940C4⋊C4—734no—
1941C4⋊C4—734no—
1942C4⋊C4—734no—
1943C4⋊C4—734no—
1944C4⋊C4—734no—
1945C4⋊C4—734no—
1946C4⋊C4—734no—
1947C4⋊C4—734no—
1948C4⋊C4—734no—
1949C4⋊C4—734no—
1950C4⋊C4—734no—
1951C4⋊C4—734no—
1952C4⋊C4—734no—
1953C4⋊C4—734no—
1954C4⋊C4—734no—
1955C4⋊C4—734no—
1956C4⋊C4—734no—
1957C4⋊C4—734no—
1958C4⋊C4—734no—
1959C4⋊C4—734no—
1960C4⋊C4—734no—
1961C4⋊C4—732no—
1962C4⋊C4—732no—
1963C4⋊C4—734no—
1964C4⋊C4C23×D7314yes—
1965C4⋊C4C23×D7314yes—
1966C4⋊C4C23×D7312yes—
1967C4⋊C4C23×D7312yes—
1968C22⋊C4—734no—
1969C22⋊C4—734no—
1970C22⋊C4—734no—
1971C22⋊C4—734no—
1972C22⋊C4—734no—
1973C22⋊C4—734no—
1974C22⋊C4—734no—
1975C22⋊C4—734no—
1976C22⋊C4—734no—
1977C22⋊C4—734no—
1978C22⋊C4—734no—
1979C22⋊C4—734no—
1980C22⋊C4—734no—
1981C22⋊C4—734no—
1982C22⋊C4—734no—
1983C22⋊C4—734no—
1984C22⋊C4—734no—
1985C22⋊C4—734no—
1986C22⋊C4—734no—
1987C22⋊C4—734no—
1988C22⋊C4—734no—
1989C22⋊C4—734no—
1990C22⋊C4—734no—
1991C22⋊C4—734no—
1992C22⋊C4—734no—
1993C22⋊C4—734no—
1994C22⋊C4—734no—
1995C22⋊C4—734no—
1996C22⋊C4—734no—
1997C22⋊C4—734no—
1998C22⋊C4—734no—
1999C22⋊C4—734no—
2000C22⋊C4—734no—
2001C22⋊C4—734no—
2002C22⋊C4—734no—
2003C22⋊C4—734no—
2004C22⋊C4—734no—
2005C22⋊C4C23×D7314yes—
2006C22⋊C4C23×D7314yes—
2007C22⋊C4C23×D7314yes—
2008C22⋊C4C23×D7314yes—
2009C22⋊C4C23×D7314yes—
2010C22⋊C4C23×D7314yes—
2011C22⋊C4C23×D7314yes—
2012C22⋊C4C23×D7314yes—
2013C22⋊C4C23×D7314yes—
2014C22⋊C4C23×D7314yes—
2015C22⋊C4C23×D7314yes—
2016C42—734no—
2017C42—734no—
2018C42—734no—
2019C42—734no—
2020C42—734no—
2021C42—734no—
2022C42—734no—
2023C42C23×D7314yes—
2024C23—22no—
2025C23—22no—
2026C23—22no—
2027C23—24no—
2028C23—24no—
2029C23—24no—
2030C23—22no—
2031C23—24no—
2032C23—24no—
2033C23—22no—
2034C23—24no—
2035C23—22no—
2036C23—24no—
2037C23—41no—
2038C23—42no—
2039C23—41no—
2040C23—41no—
2041C23—42no—
2042C23—41no—
2043C23—42no—
2044C23—42no—
2045C23—42no—
2046C23—42no—
2047C23—41no—
2048C23—42no—
2049C23—41no—
2050C23—41no—
2051C23—42no—
2052C23—41no—
2053C23—42no—
2054C23—42no—
2055C23—42no—
2056C23—416no—
2057C23—88no—
2058C23—2922no—
2059C23—2922no—
2060C23—2922no—
2061C23—2922no—
2062C23—2922no—
2063C23—2922no—
2064C23—2922no—
2065C23—2922no—
2066C23—2924no—
2067C23—2922no—
2068C23—2924no—
2069C23—2922no—
2070C23—2922no—
2071C23—2924no—
2072C23—5848no—
2073C23—734no—
2074C23—734no—
2075C23—1464no—
2076C23—1464no—
2077C23—1464no—
2078C23—1464no—
2079C23#1455663614yescomplemented
2080C23C24×D7312yes—
2081C23C24×D7312yes—
2082C23C24×D7314yes—
2083C23C24×D7312yes—
2084C23C24×D7311yescharacteristic
2085C23C24×D7311yescharacteristic
2086C23C24×D7312yes—
2087C23C24×D7311yescharacteristic
2088Q8—42no—
2089Q8—2924no—
2090Q8—2922no—
2091Q8—2924no—
2092Q8—1468no—
2093D4—28no—
2094D4—28no—
2095D4—28no—
2096D4—28no—
2097D4—28no—
2098D4—28no—
2099D4—44no—
2100D4—44no—
2101D4—42no—
2102D4—44no—
2103D4—44no—
2104D4—44no—
2105D4—44no—
2106D4—44no—
2107D4—2924no—
2108D4—2922no—
2109D4—2924no—
2110D4—2924no—
2111D4—2924no—
2112D4—2924no—
2113D4—2924no—
2114D4—2924no—
2115D4—2924no—
2116D4—2924no—
2117D4—2924no—
2118D4—2924no—
2119D4—2924no—
2120D4—2924no—
2121D4—2924no—
2122D4—2924no—
2123D4—2924no—
2124D4—2924no—
2125D4—1468no—
2126D4—1468no—
2127D4—1468no—
2128D4—1468no—
2129D4—1468no—
2130D4—1468no—
2131D4—1468no—
2132D4—1468no—
2133D4—1468no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—24no—
2137C2×C4—42no—
2138C2×C4—42no—
2139C2×C4—42no—
2140C2×C4—44no—
2141C2×C4—42no—
2142C2×C4—42no—
2143C2×C4—42no—
2144C2×C4—42no—
2145C2×C4—2924no—
2146C2×C4—2924no—
2147C2×C4—2924no—
2148C2×C4—2924no—
2149C2×C4—2924no—
2150C2×C4—2924no—
2151C2×C4—2921no—
2152C2×C4—2922no—
2153C2×C4—2922no—
2154C2×C4—2922no—
2155C2×C4—2922no—
2156C2×C4—2922no—
2157C2×C4—2921no—
2158C2×C4—2922no—
2159C2×C4—2922no—
2160C2×C4—2922no—
2161C2×C4—2924no—
2162C2×C4—2922no—
2163C2×C4—2924no—
2164C2×C4—2922no—
2165C2×C4—2922no—
2166C2×C4—2922no—
2167C2×C4—734no—
2168C2×C4—732no—
2169C2×C4—734no—
2170C2×C4—732no—
2171C2×C4—734no—
2172C2×C4—734no—
2173C2×C4—734no—
2174C2×C4—732no—
2175C2×C4—732no—
2176C2×C4—1468no—
2177C2×C4—1464no—
2178C2×C4—1464no—
2179C2×C4—1464no—
2180C2×C4—1464no—
2181C2×C4—1464no—
2182C2×C4—1464no—
2183C2×C4—1468no—
2184C2×C4—1462no—
2185C2×C4—1464no—
2186C2×C4—1464no—
2187C2×C4—1464no—
2188C2×C4C24×D7314yes—
2189C2×C4C24×D7314yes—
2190C2×C4C24×D7312yes—
2191C2×C4C24×D7314yes—
2192C2×C4C24×D7312yes—
2193C22—28no—
2194C22—22no—
2195C22—21no—
2196C22—21no—
2197C22—21no—
2198C22—21no—
2199C22—22no—
2200C22—21no—
2201C22—21no—
2202C22—22no—
2203C22—22no—
2204C22—24no—
2205C22—22no—
2206C22—24no—
2207C22—22no—
2208C22—22no—
2209C22—22no—
2210C22—22no—
2211C22—22no—
2212C22—24no—
2213C22—22no—
2214C22—44no—
2215C22—48no—
2216C22—48no—
2217C22—44no—
2218C22—84no—
2219C22—82no—
2220C22—82no—
2221C22—84no—
2222C22—84no—
2223C22—162no—
2224C22—5844no—
2225C22—5844no—
2226C22—5844no—
2227C22—5844no—
2228C22—11682no—
2229C22—11684no—
2230C22—1464no—
2231C22—1464no—
2232C22—1464no—
2233C22—1464no—
2234C22—1464no—
2235C22—1464no—
2236C22H(5,𝔽2)×D7312yes—
2237C22C2×#1455663612yes—
2238C22C2×#1455663614yes—
2239C22#1798942212yes—
2240C22C25×D7311yescharacteristic
2241C4—24no—
2242C4—22no—
2243C4—22no—
2244C4—24no—
2245C4—24no—
2246C4—734no—
2247C4—1462no—
2248C4—1462no—
2249C4—1462no—
2250C4—1464no—
2251C4—1464no—
2252C4—1464no—
2253C4—1464no—
2254C2—22no—
2255C2—22no—
2256C2—22no—
2257C2—24no—
2258C2—42no—
2259C2—42no—
2260C2—42no—
2261C2—44no—
2262C2—2924no—
2263C2—2924no—
2264C2C2×H(5,𝔽2)×D7311yescharacteristic
2265C2C22×#1455663611yescharacteristic
2266C2C2×#1798942211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3484C2
hypercenter#3484D73
hypocenterC73#62818
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3484

Complements

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

NH ≅ G/Ntype
1. #22624242C2semidirect
2. #22624234C2semidirect
3. #22624161C2semidirect
4. #22624146C2semidirect
5. #22624117C2semidirect
6. #22624109C2semidirect
7. #22623952C2semidirect
8. #22623950C2semidirect
9. #22623768C2semidirect
10. #22623761C2semidirect
11. #22623692C2semidirect
12. #22623690C2semidirect
13. #22623653C2semidirect
14. #22623632C2semidirect
15. #22623618C2semidirect
16. #22623614C2semidirect
17. #22623591C2semidirect
18. #22623566C2semidirect
19. #22623560C2semidirect
20. #22623560C2semidirect
21. C2×#17989093C2semidirect
22. C22×#14556563C2semidirect
23. C73×#3484C2semidirect
24. C2×#14556636C22semidirect
25. C2×#14556636C22semidirect
26. C2×#14556636C22semidirect
27. C22×#11924027C22semidirect
28. C23×C22⋊D73C22semidirect
29. C23×C22⋊D73C22semidirect
30. C24×Dic73C22semidirect
31. #17989334C22semidirect
32. #17989332C22semidirect
33. #17989332C22semidirect
34. #17989331C22semidirect
35. #17989326C22semidirect
36. #17989325C22semidirect
37. #17989325C22semidirect
38. #17989324C22semidirect
39. #17989301C22semidirect
40. #17989299C22semidirect
41. #17989296C22semidirect
42. #17989291C22semidirect
43. #17989289C22semidirect
44. #17989286C22semidirect
45. #17989286C22semidirect
46. #17989286C22semidirect
47. #17989283C22semidirect
48. #17989282C22semidirect
49. #17989280C22semidirect
50. #17989280C22semidirect
51. #17989280C22semidirect
52. #17989280C22semidirect
53. #17989274C22semidirect
54. #17989270C22semidirect
55. #17989268C22semidirect
56. #17989268C22semidirect
57. #17989266C22semidirect
58. #17989264C22semidirect
59. #17989263C22semidirect
60. #17989263C22semidirect
61. #17989261C22semidirect
62. #17989260C22semidirect
63. #17989257C22semidirect
64. #17989255C22semidirect
65. #17989246C22semidirect
66. #17989243C22semidirect
67. #17989236C22semidirect
68. #17989236C22semidirect
69. #17989235C22semidirect
70. #17989235C22semidirect
71. #17989232C22semidirect
72. #17989231C22semidirect
73. #17989231C22semidirect
74. #17989231C22semidirect
75. #17989231C22semidirect
76. #17989231C22semidirect
77. #17989229C22semidirect
78. #17989229C22semidirect
79. #17989227C22semidirect
80. #17989227C22semidirect
81. #17989227C22semidirect
82. #17989227C22semidirect
83. #17989226C22semidirect
84. #17989226C22semidirect
85. #17989225C22semidirect
86. #17989225C22semidirect
87. #17989224C22semidirect
88. #17989224C22semidirect
89. #17989224C22semidirect
90. #17989224C22semidirect
91. #17989224C22semidirect
92. #17989224C22semidirect
93. #17989224C22semidirect
94. #17989224C22semidirect
95. D4×C22⋊D73C22semidirect
96. D4×C22⋊D73C22semidirect
97. D4×C22⋊D73C22semidirect
98. D4×C22⋊D73C22semidirect
99. D4×C22⋊D73C22semidirect
100. D4×C22⋊D73C22semidirect
101. D4×C22⋊D73C22semidirect
102. #17989219C22semidirect
103. #17989219C22semidirect
104. #17989219C22semidirect
105. #17989219C22semidirect
106. #17989219C22semidirect
107. #17989216C22semidirect
108. #17989213C22semidirect
109. #17989212C22semidirect
110. #17989205C22semidirect
111. #17989201C22semidirect
112. #17989191C22semidirect
113. #17989190C22semidirect
114. #17989189C22semidirect
115. #17989187C22semidirect
116. #17989187C22semidirect
117. #17989187C22semidirect
118. #17989186C22semidirect
119. #17989182C22semidirect
120. #17989181C22semidirect
121. #17989179C22semidirect
122. #17989179C22semidirect
123. #17989177C22semidirect
124. #17989174C22semidirect
125. #17989174C22semidirect
126. #17989172C22semidirect
127. #17989172C22semidirect
128. #17989172C22semidirect
129. #17989172C22semidirect
130. #17989171C22semidirect
131. #17989170C22semidirect
132. #17989170C22semidirect
133. #17989169C22semidirect
134. #17989166C22semidirect
135. #17989165C22semidirect
136. #17989164C22semidirect
137. #17989164C22semidirect
138. #17989164C22semidirect
139. #17989154C22semidirect
140. #17989152C22semidirect
141. #17989152C22semidirect
142. #17989152C22semidirect
143. #17989150C22semidirect
144. #17989149C22semidirect
145. #17989149C22semidirect
146. #17989147C22semidirect
147. #17989147C22semidirect
148. #17989146C22semidirect
149. #17989146C22semidirect
150. #17989146C22semidirect
151. #17989146C22semidirect
152. #17989146C22semidirect
153. #17989146C22semidirect
154. #17989145C22semidirect
155. #17989145C22semidirect
156. #17989133C22semidirect
157. #17989132C22semidirect
158. #17989117C22semidirect
159. #17989114C22semidirect
160. #17989098C22semidirect
161. #17989096C22semidirect
162. #17989093C22semidirect
163. #17989093C22semidirect
164. #17989093C22semidirect
165. #17989093C22semidirect
166. #17989093C22semidirect
167. #17989093C22semidirect
168. #17989093C22semidirect
169. #17989093C22semidirect
170. #17989093C22semidirect
171. #17989093C22semidirect
172. C2×#14556575C22semidirect
173. C2×#14556572C22semidirect
174. C2×#14556568C22semidirect
175. C2×#14556568C22semidirect
176. C2×#14556563C22semidirect
177. C2×#14556563C22semidirect
178. C2×#14556563C22semidirect
179. C2×#14556563C22semidirect
180. C2×#14556563C22semidirect
181. C2×#14556563C22semidirect
182. C2×#14556563C22semidirect
183. C2×#14556563C22semidirect
184. C2×#14556563C22semidirect
185. C2×#14556563C22semidirect
186. C2×#14556563C22semidirect
187. #121×D73C22semidirect
188. C2×#14556560C22semidirect
189. C2×#14556560C22semidirect
190. #120×D73C22semidirect
191. #17989066C22semidirect
192. #17989062C22semidirect
193. #17989062C22semidirect
194. #17989060C22semidirect
195. #17989060C22semidirect
196. #17989060C22semidirect
197. #17989059C22semidirect
198. C2×D4×Dic73C22semidirect
199. C2×D4×Dic73C22semidirect
200. C2×#14556551C22semidirect
201. C2×#14556551C22semidirect
202. C2×#14556547C22semidirect
203. C22×#11924007C22semidirect
204. C22×C22⋊Dic73C22semidirect
205. C22×#11924005C22semidirect
206. C2×H(5,𝔽2)×C73C22semidirect
207. C23×D4×C73C22semidirect
208. #546×C73C22semidirect
209. #546×C73C22semidirect
210. D42×C73C22semidirect
211. D42×C73C22semidirect
212. #535×C73C22semidirect
213. #534×C73C22semidirect
214. #534×C73C22semidirect
215. #525×C73C22semidirect
216. C2×#120×C73C22semidirect
217. C2×#120×C73C22semidirect
218. #518×C73C22semidirect
224. C2×#11924028C23semidirect
225. C2×#11924028C23semidirect
230. C2×#11924027C23semidirect
231. C2×#11924027C23semidirect
232. C2×#11924027C23semidirect
233. C2×#11924027C23semidirect
234. C2×#11924027C23semidirect
235. C22×Dic146C23semidirect
253. C22×C22⋊D73C23semidirect
254. C22×C22⋊D73C23semidirect
255. C22×C22⋊D73C23semidirect
259. C2×D4×D73C23semidirect
260. C2×D4×D73C23semidirect
261. C2×D4×D73C23semidirect
272. C23×Dic73C23semidirect
273. C22×C4×D73C23semidirect
274. #14556590C23semidirect
275. #14556589C23semidirect
276. #14556587C23semidirect
277. #14556587C23semidirect
278. #14556587C23semidirect
279. #14556587C23semidirect
280. #14556587C23semidirect
281. #14556586C23semidirect
282. #14556586C23semidirect
283. #14556586C23semidirect
284. #14556586C23semidirect
285. #14556585C23semidirect
286. #14556585C23semidirect
287. #14556584C23semidirect
288. #14556584C23semidirect
289. #14556584C23semidirect
290. #14556584C23semidirect
291. #14556584C23semidirect
292. #14556584C23semidirect
293. #14556583C23semidirect
294. #14556582C23semidirect
295. #14556581C23semidirect
296. #14556581C23semidirect
297. #14556581C23semidirect
298. #14556581C23semidirect
299. #14556580C23semidirect
300. #14556579C23semidirect
301. #14556578C23semidirect
302. #14556578C23semidirect
303. #14556578C23semidirect
304. #14556577C23semidirect
305. #14556577C23semidirect
306. #14556577C23semidirect
307. #14556577C23semidirect
308. #14556577C23semidirect
309. #14556577C23semidirect
310. #14556577C23semidirect
311. #14556577C23semidirect
312. #14556576C23semidirect
313. #14556576C23semidirect
314. #14556576C23semidirect
315. #14556576C23semidirect
319. #14556575C23semidirect
320. #14556575C23semidirect
321. #14556575C23semidirect
322. #14556575C23semidirect
323. #14556575C23semidirect
325. #14556574C23semidirect
326. #14556574C23semidirect
327. #14556574C23semidirect
328. #14556574C23semidirect
329. #14556574C23semidirect
330. #14556573C23semidirect
331. #14556573C23semidirect
332. #14556573C23semidirect
333. #14556573C23semidirect
334. #14556573C23semidirect
335. #14556573C23semidirect
336. #14556573C23semidirect
337. #14556573C23semidirect
341. #14556572C23semidirect
342. #14556572C23semidirect
343. #14556572C23semidirect
344. #14556572C23semidirect
345. #14556572C23semidirect
346. #14556572C23semidirect
347. #14556572C23semidirect
348. #14556572C23semidirect
349. #14556571C23semidirect
352. #14556570C23semidirect
353. #14556570C23semidirect
354. #14556570C23semidirect
355. #14556569C23semidirect
356. #14556569C23semidirect
357. #14556569C23semidirect
358. #14556569C23semidirect
365. #14556568C23semidirect
366. #14556568C23semidirect
367. #14556568C23semidirect
368. #14556568C23semidirect
369. #14556568C23semidirect
370. #14556568C23semidirect
371. #14556568C23semidirect
372. #14556568C23semidirect
373. #14556567C23semidirect
374. #14556567C23semidirect
375. #14556566C23semidirect
378. #14556565C23semidirect
379. #14556565C23semidirect
380. #14556565C23semidirect
381. #14556565C23semidirect
382. #14556565C23semidirect
383. #14556564C23semidirect
384. #14556564C23semidirect
385. #14556564C23semidirect
386. #14556564C23semidirect
387. #14556564C23semidirect
388. #14556564C23semidirect
389. #14556564C23semidirect
390. #14556564C23semidirect
391. #14556564C23semidirect
392. #14556564C23semidirect
415. #14556563C23semidirect
416. #14556563C23semidirect
417. #14556563C23semidirect
418. #14556563C23semidirect
419. #14556563C23semidirect
420. #14556563C23semidirect
421. #14556563C23semidirect
422. #14556563C23semidirect
423. #14556563C23semidirect
424. #14556563C23semidirect
425. #14556563C23semidirect
426. #14556563C23semidirect
427. #14556563C23semidirect
428. #14556563C23semidirect
429. #14556563C23semidirect
430. #14556563C23semidirect
431. #14556563C23semidirect
432. #14556563C23semidirect
433. #14556563C23semidirect
434. #14556563C23semidirect
435. #14556562C23semidirect
436. #14556562C23semidirect
437. #14556562C23semidirect
438. #14556562C23semidirect
439. #14556562C23semidirect
440. #14556562C23semidirect
441. #14556562C23semidirect
442. #14556562C23semidirect
446. #14556561C23semidirect
447. #14556561C23semidirect
448. #14556561C23semidirect
456. #14556560C23semidirect
457. #14556560C23semidirect
458. #14556560C23semidirect
462. #14556559C23semidirect
463. #14556559C23semidirect
464. #14556559C23semidirect
465. #14556559C23semidirect
466. #14556559C23semidirect
467. #14556559C23semidirect
468. #14556559C23semidirect
469. #14556559C23semidirect
470. C4×Dic146C23semidirect
471. #14556556C23semidirect
472. C4×D292C23semidirect
479. D4×Dic73C23semidirect
480. D4×Dic73C23semidirect
481. D4×Dic73C23semidirect
482. D4×Dic73C23semidirect
483. D4×Dic73C23semidirect
484. D4×Dic73C23semidirect
485. D4×Dic73C23semidirect
486. D4×Dic73C23semidirect
487. #14556553C23semidirect
490. C4×C22⋊D73C23semidirect
491. C4×C22⋊D73C23semidirect
492. C4×C22⋊D73C23semidirect
493. C4×C22⋊D73C23semidirect
494. C4×C22⋊D73C23semidirect
495. C4×C22⋊D73C23semidirect
496. C4×C22⋊D73C23semidirect
497. C4×C22⋊D73C23semidirect
504. #14556551C23semidirect
505. #14556551C23semidirect
506. #14556551C23semidirect
507. #14556551C23semidirect
508. #14556551C23semidirect
509. #14556551C23semidirect
510. #14556551C23semidirect
511. #14556551C23semidirect
512. #14556551C23semidirect
513. #14556551C23semidirect
515. #14556550C23semidirect
516. #14556549C23semidirect
517. #14556548C23semidirect
518. #14556548C23semidirect
522. #14556547C23semidirect
523. #14556547C23semidirect
524. #14556547C23semidirect
525. #14556547C23semidirect
526. C2×C4⋊Dic73C23semidirect
527. C2×C4⋊Dic73C23semidirect
533. C2×#11924007C23semidirect
534. C2×#11924007C23semidirect
535. C2×#11924007C23semidirect
536. C2×#11924007C23semidirect
537. C2×#11924007C23semidirect
538. C4⋊C4×D73C23semidirect
550. C2×C22⋊Dic73C23semidirect
551. C2×C22⋊Dic73C23semidirect
552. C2×C22⋊Dic73C23semidirect
558. C2×#11924005C23semidirect
559. C2×#11924005C23semidirect
560. C2×#11924005C23semidirect
564. C22⋊C4×D73C23semidirect
565. C22⋊C4×D73C23semidirect
566. C2×C4×Dic73C23semidirect
567. C2×C4×Dic73C23semidirect
572. C2×#41×C73C23semidirect
586. C22×D4×C73C23semidirect
588. #127×C73C23semidirect
589. #124×C73C23semidirect
591. #123×C73C23semidirect
592. #123×C73C23semidirect
597. #121×C73C23semidirect
598. #121×C73C23semidirect
599. #121×C73C23semidirect
600. #121×C73C23semidirect
601. #121×C73C23semidirect
602. #121×C73C23semidirect
610. #120×C73C23semidirect
611. #120×C73C23semidirect
614. C4×D4×C73C23semidirect
615. C4×D4×C73C23semidirect
924. C23×C73H(5,𝔽2)semidirect
1035. C2×Dic73H(5,𝔽2)semidirect
1154. #3484D73semidirect
1157. C73#62818semidirect
1161. C2×H(5,𝔽2)C2×D73semidirect
1165. C23×D4C2×D73semidirect
1231. #546C2×D73semidirect
1232. #546C2×D73semidirect
1245. D42C2×D73semidirect
1246. D42C2×D73semidirect
1284. #535C2×D73semidirect
1297. #534C2×D73semidirect
1298. #534C2×D73semidirect
1315. #525C2×D73semidirect
1335. C2×#120C2×D73semidirect
1336. C2×#120C2×D73semidirect
1344. #518C2×D73semidirect
1373. C2×#41C22×D73semidirect
1414. C22×D4C22×D73semidirect
1435. #127C22×D73semidirect
1467. #124C22×D73semidirect
1506. #123C22×D73semidirect
1507. #123C22×D73semidirect
1606. #121C22×D73semidirect
1607. #121C22×D73semidirect
1608. #121C22×D73semidirect
1609. #121C22×D73semidirect
1610. #121C22×D73semidirect
1611. #121C22×D73semidirect
1646. #120C22×D73semidirect
1647. #120C22×D73semidirect
1694. C4×D4C22×D73semidirect
1695. C4×D4C22×D73semidirect
2079. C23#14556636semidirect

Maximal subgroups

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

subgroupindex
#226242422
#226242342
#226241612
#226241462
#226241172
#226241092
#226239522
#226239502
#226237682
#226237612
#226236922
#226236902
#226236532
#226236322
#226236182
#226236142
#226235912
#226235662
#226235602
C2×#179890932
C22×#145565632
C73×#34842
#6281873