Finite Group Databasebeta

← #33979789

Subgroups — #33979789

Order 18688.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624525C211yesmaximal, characteristic, complemented
2#22623873C211yesmaximal, characteristic, complemented
3#22622998C211yesmaximal, characteristic, complemented
4#22622941C211yesmaximal, characteristic, complemented
5#22622685C211yesmaximal, characteristic, complemented
6#22622581C211yesmaximal, characteristic, complemented
7#22622234C211yesmaximal, characteristic, complemented
8#22622204C211yesmaximal, characteristic, complemented
9#22622187C211yesmaximal, characteristic, complemented
10#22622062C211yesmaximal, characteristic, complemented
11#22621890C211yesmaximal, characteristic, complemented
12#22621779C211yesmaximal, characteristic, complemented
13#22621636C211yesmaximal, characteristic, complemented
14#22621552C211yesmaximal, characteristic, complemented
15#22621535C211yesmaximal, characteristic, complemented
16#22621535C211yesmaximal, characteristic, complemented
17#22621460C211yesmaximal, characteristic, complemented
18#22621428C211yesmaximal, characteristic, complemented
19#22621372C211yesmaximal, characteristic, complemented
20#22621348C211yesmaximal, characteristic, complemented
21#22621334C211yesmaximal, characteristic, complemented
22#22621047C211yesmaximal, characteristic, complemented
23#22620983C211yesmaximal, characteristic, complemented
24#22620912C211yesmaximal, characteristic, complemented
25#22620176C211yesmaximal, characteristic, complemented
26#22619983C211yesmaximal, characteristic, complemented
27#22619470C211yesmaximal, characteristic, complemented
28#22619438C211yesmaximal, characteristic, complemented
29#22619396C211yesmaximal, characteristic, complemented
30#22619074C211yesmaximal, characteristic, complemented
31C73×#3120C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556616C2211yescharacteristic
36C2×#14556611C2211yescharacteristic
37C2×SD16×D73C2211yescharacteristic, complemented
38#17989335—21no—
39#17989328—21no—
40#17989322C2211yescharacteristic, complemented
41#17989322C2211yescharacteristic, complemented
42#17989309C2211yescharacteristic, complemented
43#17989296C2211yescharacteristic, complemented
44#17989290—21no—
45#17989286—21no—
46#17989285C2211yescharacteristic
47#17989278C2211yescharacteristic, complemented
48#17989262—21no—
49#17989261—21no—
50#17989261—21no—
51#17989259C2211yescharacteristic
52#17989249C2211yescharacteristic
53#17989247C2211yescharacteristic, complemented
54#17989239C2211yescharacteristic, complemented
55#17989238C2211yescharacteristic
56#17989233—21no—
57#17989228C2211yescharacteristic, complemented
58#17989228C2211yescharacteristic, complemented
59#17989225C2211yescharacteristic
60#17989225C2211yescharacteristic
61D4×D292C2211yescharacteristic, complemented
62#17989209C2211yescharacteristic, complemented
63#17989193—21no—
64#17989193C2211yescharacteristic, complemented
65#17989192C2211yescharacteristic
66#17989185—21no—
67#17989184—21no—
68#17989176—21no—
69#17989176—21no—
70#17989170—21no—
71#17989162C2211yescharacteristic, complemented
72#17989156C2211yescharacteristic, complemented
73#17989138C2211yescharacteristic, complemented
74#17989124C2211yescharacteristic, complemented
75#17989122C2211yescharacteristic, complemented
76#17989115C2211yescharacteristic
77#17989096—21no—
78C2×#14556576—21no—
79#17989059C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988980C2211yescharacteristic, complemented
82#17988976C2211yescharacteristic
83#17988972C2211yescharacteristic, complemented
84#17988972C2211yescharacteristic, complemented
85#17988972C2211yescharacteristic, complemented
86#17988964C2211yescharacteristic
87#17988952C2211yescharacteristic, complemented
88#17988948C2211yescharacteristic, complemented
89#17988943C2211yescharacteristic, complemented
90#17988943C2211yescharacteristic, complemented
91#17988942C2211yescharacteristic, complemented
92#17988936C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988894C2211yescharacteristic, complemented
99#17988894C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988884C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988844C2211yescharacteristic, complemented
106#17988841C2211yescharacteristic
107#17988841C2211yescharacteristic, complemented
108#17988836C2211yescharacteristic, complemented
109#17988836C2211yescharacteristic, complemented
110#17988835C2211yescharacteristic, complemented
111#17988835C2211yescharacteristic, complemented
112#17988834C2211yescharacteristic, complemented
113#17988824C2211yescharacteristic
114#17988819C2211yescharacteristic, complemented
115#17988818C2211yescharacteristic, complemented
116#17988818C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988809C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988805C2211yescharacteristic, complemented
125#17988805C2211yescharacteristic, complemented
126#17988804C2211yescharacteristic
127#17988804C2211yescharacteristic
128#17988804C2211yescharacteristic, complemented
129#17988803C2211yescharacteristic, complemented
130#17988803C2211yescharacteristic, complemented
131#17988802C2211yescharacteristic
132#17988802C2211yescharacteristic
133#17988791C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988789C2211yescharacteristic, complemented
136#17988789C2211yescharacteristic, complemented
137#17988787C2211yescharacteristic, complemented
138#17988787C2211yescharacteristic, complemented
139#17988787C2211yescharacteristic, complemented
140#17988787C2211yescharacteristic, complemented
141#17988783C2211yescharacteristic, complemented
142#17988783C2211yescharacteristic, complemented
143#17988782C2211yescharacteristic
144#17988782C2211yescharacteristic
145#17988748C2211yescharacteristic, complemented
146#17988748C2211yescharacteristic, complemented
147#17988748C2211yescharacteristic, complemented
148#17988741C2211yescharacteristic, complemented
149#17988739C2211yescharacteristic, complemented
150#17988735C2211yescharacteristic
151#17988735C2211yescharacteristic
152#17988735C2211yescharacteristic, complemented
153#17988734C2211yescharacteristic, complemented
154#17988734C2211yescharacteristic, complemented
155#17988727C2211yescharacteristic, complemented
156#17988723C2211yescharacteristic, complemented
157#17988723C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic
159#17988722C2211yescharacteristic
160#17988722C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162C8×Dic146C2211yescharacteristic, complemented
163#17988698C2211yescharacteristic, complemented
164#17988696C2211yescharacteristic, complemented
165#17988678C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167#17988669C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic
170#17988667C2211yescharacteristic
171#17988666C2211yescharacteristic, complemented
172#17988662C2211yescharacteristic, complemented
173#17988662C2211yescharacteristic, complemented
174#17988660C2211yescharacteristic, complemented
175#17988655C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988647C2211yescharacteristic, complemented
178#17988639C2211yescharacteristic, complemented
179#17988614C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181#17988609C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988587C2211yescharacteristic, complemented
184#17988587C2211yescharacteristic, complemented
185#17988586C2211yescharacteristic, complemented
186#17988582C2211yescharacteristic, complemented
187C2×#14556511C2211yescharacteristic, complemented
188#541×C73C2211yescharacteristic, complemented
189#520×C73C2211yescharacteristic
190#484×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#479×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#462×C73C2211yescharacteristic, complemented
195#461×C73C2211yescharacteristic, complemented
196#452×C73C2211yescharacteristic
197#452×C73C2211yescharacteristic
198#441×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200C4×Q16×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C22×D292—21no—
210C22×D292C2311yescharacteristic
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C22×C4×D73—21no—
214#14556618—42no—
215#14556618—42no—
216#14556618—42no—
217#14556616—42no—
218#14556611—42no—
219C2×#11924018C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230SD16×D73—42no—
231C2×D584C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924012C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C2×#11924011C2311yescharacteristic
244C22×#10596831C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246#14556590C2311yescharacteristic
247#14556589C2311yescharacteristic
248#14556588—21no—
249#14556588C2311yescharacteristic
250#14556588C2311yescharacteristic
251#14556588C2311yescharacteristic
252#14556586—21no—
253#14556586—21no—
254#14556586—21no—
255#14556586—21no—
256#14556586D411yescharacteristic
257#14556585—21no—
258#14556585—21no—
259#14556585—21no—
260#14556584D411yescharacteristic
261#14556583C2311yescharacteristic
262#14556582C2311yescharacteristic
263#14556581—21no—
264#14556581D411yescharacteristic
265#14556580C2311yescharacteristic
266#14556580C2311yescharacteristic
267#14556580C2311yescharacteristic
268#14556580C2311yescharacteristic
269#14556580C2311yescharacteristic
270#14556579—21no—
271#14556579—21no—
272#14556579—21no—
273#14556579—21no—
274#14556579C2311yescharacteristic
275#14556579C2311yescharacteristic
276#14556577—21no—
277#14556577D411yescharacteristic
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556576—21no—
291#14556576—21no—
292#14556576—21no—
293#14556576—21no—
294#14556576—21no—
295#14556576—21no—
296#14556576—21no—
297#14556576D411yescharacteristic
298#14556574—21no—
299#14556574—21no—
300#14556574—21no—
301#14556573—21no—
302#14556573D411yescharacteristic
303#14556571—21no—
304#14556571C2311yescharacteristic
305#14556570—21no—
306#14556569—21no—
307#14556569—21no—
308#14556569—21no—
309#14556569—21no—
310#14556569—21no—
311#14556569—21no—
312#14556569D411yescharacteristic
313#14556568—21no—
314#14556568—21no—
315#14556567C2311yescharacteristic
316#14556567C2311yescharacteristic
317#14556566—21no—
318#14556566—21no—
319#14556566—21no—
320#14556566—21no—
321#14556566—21no—
322#14556566—21no—
323#14556566—21no—
324#14556566—21no—
325#14556566—21no—
326#14556566—21no—
327#14556566—21no—
328#14556566C2311yescharacteristic
329#14556566C2311yescharacteristic
330#14556566C2311yescharacteristic
331#14556566C2311yescharacteristic
332#14556566C2311yescharacteristic
333#14556565—21no—
334#14556565—21no—
335#14556565C2311yescharacteristic
336#14556565C2311yescharacteristic
337#14556564—21no—
338#14556564—21no—
339#14556564—21no—
340#14556564—21no—
341#14556564D411yescharacteristic
342#14556563—21no—
343#14556563—21no—
344#14556561—21no—
345#14556561—21no—
346#14556561—21no—
347#14556561—21no—
348#14556561—21no—
349#14556561—21no—
350#14556559—21no—
351#14556559—21no—
352C4×Dic146C2311yescharacteristic
353#14556556C2311yescharacteristic
354C4×D292—21no—
355C4×D292—21no—
356C4×D292—21no—
357C4×D292—21no—
358C4×D292—21no—
359C4×D292C2311yescharacteristic
360C4×D292C2311yescharacteristic
361C4×D292C2311yescharacteristic
362D4×Dic73C2311yescharacteristic
363D4×Dic73C2311yescharacteristic
364#14556553—21no—
365#14556553—21no—
366#14556553—21no—
367#14556553—21no—
368#14556553C2311yescharacteristic
369#14556553C2311yescharacteristic
370#14556553C2311yescharacteristic
371#14556553C2311yescharacteristic
372#14556553C2311yescharacteristic
373C4×C22⋊D73—21no—
374C4×C22⋊D73—21no—
375C4×C22⋊D73—21no—
376C4×C22⋊D73C2311yescharacteristic
377C4×C22⋊D73C2311yescharacteristic
378#14556551—21no—
379#14556551—21no—
380#14556549—21no—
381#14556549C2311yescharacteristic
382#14556548—21no—
383#14556548—21no—
384#14556548—21no—
385#14556548C2311yescharacteristic
386C2×#11924007—21no—
387C4⋊C4×D73—21no—
388C4⋊C4×D73C2311yescharacteristic
389C2×#11924005—21no—
390C2×#11924005—21no—
391C2×#11924005—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396C42×D73C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556501C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C2×Q16×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C4⋊Q8×C73C2311yescharacteristic
447#126×C73—21no—
448#126×C73—21no—
449#125×C73—21no—
450#125×C73—21no—
451#125×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×Q8×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73—21no—
463#117×C73C2311yescharacteristic
464C2×C4⋊C4×C73—21no—
465C2×C4⋊C4×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487#11924029—41no—
488#11924029—41no—
489#11924029—41no—
490#11924029—41no—
491#11924029—41no—
492#11924029—41no—
493#11924028—41no—
494#11924028—41no—
495#11924028—82no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146C2×D411yescharacteristic
499C2×Dic146C2411yescharacteristic
500Q8×D73—41no—
501Q8×D73—41no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—41no—
518C2×D292—41no—
519C2×D292—82no—
520C2×D292C2×D411yescharacteristic
521C2×D292C2411yescharacteristic
522C2×D292C2411yescharacteristic
523C2×D292C2411yescharacteristic
524C2×D292C2411yescharacteristic
525C2×D292C2411yescharacteristic
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73C2×D411yescharacteristic
532C2×C22⋊D73C2×D411yescharacteristic
533D4×D73—22no—
534D4×D73—22no—
535D4×D73—41no—
536D4×D73—41no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—82no—
553C2×C4×D73C2×D411yescharacteristic
554C2×C4×D73C2×D411yescharacteristic
555C2×C4×D73C2411yescharacteristic
556C2×C4×D73C2411yescharacteristic
557#11924018—41no—
558#11924017—41no—
559#11924017—41no—
560#11924016—22no—
561#11924015—41no—
562#11924015—41no—
563#11924015—41no—
564#11924015—41no—
565#11924015—41no—
566#11924015—41no—
567#11924015—41no—
568D584—41no—
569D584—41no—
570D584—41no—
571D584—41no—
572D584—41no—
573D584—41no—
574#11924013—22no—
575#11924013—22no—
576#11924013—22no—
577#11924012—41no—
578#11924011—41no—
579#11924011—41no—
580#11924011—41no—
581C2×#10596831—41no—
582C2×#10596831C2411yescharacteristic
583C2×#10596831C2411yescharacteristic
584C2×#10596831C2411yescharacteristic
585C2×#10596831C2411yescharacteristic
586C8×D73—41no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73C2×D411yescharacteristic
590C4⋊Dic73C2×D411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73C2×D411yescharacteristic
612C22⋊Dic73C2×D411yescharacteristic
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005C2×D411yescharacteristic
646#11924005C2×D411yescharacteristic
647#11924005C2×D411yescharacteristic
648#11924005C2×D411yescharacteristic
649#11924005C2×D411yescharacteristic
650#11924005C2×D411yescharacteristic
651C4×Dic73—21no—
652C4×Dic73—21no—
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C4×Dic73C2411yescharacteristic
657#41×C73—22no—
658#41×C73—41no—
659C2×Q8×C73C2411yescharacteristic
660C2×Q8×C73C2411yescharacteristic
661C2×Q8×C73C2411yescharacteristic
662C2×D4×C73—21no—
663C2×D4×C73C2411yescharacteristic
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73C2411yescharacteristic
669Q16×C73—41no—
670Q16×C73—41no—
671SD16×C73—22no—
672SD16×C73—22no—
673C2×C8×C73C2411yescharacteristic
674C2×C8×C73C2411yescharacteristic
675C2×C8×C73C2411yescharacteristic
676C2×C8×C73C2411yescharacteristic
677C4⋊C4×C73—21no—
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2×D411yescharacteristic
689C4⋊C4×C73C2×D411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73C2×D411yescharacteristic
699C22⋊C4×C73C2×D411yescharacteristic
700C42×C73—21no—
701C42×C73—21no—
702C42×C73—21no—
703C42×C73—21no—
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73C22×D411yescharacteristic
708C22×D73—21no—
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—42no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729Q8×C73—21no—
730D4×C73—21no—
731D4×C73—42no—
732D4×C73H(5,𝔽2)12yes—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—42no—
743C2×C4×C73—81no—
744C2×C4×C73—81no—
745C2×C4×C73—81no—
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C2511yescharacteristic
752C22⋊D73—41no—
753C22⋊D73—41no—
754C22⋊D73—42no—
755C22⋊D73—42no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—81no—
763C2×Dic73—81no—
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770D292—21no—
771D292—21no—
772D292—21no—
773D292—21no—
774D292—21no—
775D292—21no—
776D292—21no—
777D292—21no—
778D292—21no—
779D292—21no—
780D292—41no—
781D292—42no—
782D292—81no—
783D292—81no—
784D292—81no—
785D292—81no—
786D292—81no—
787D292—81no—
788D292—81no—
789D292—81no—
790D292—81no—
791D292—81no—
792D292—81no—
793D292—81no—
794D292—81no—
795D292—81no—
796C4×D73—21no—
797C4×D73—21no—
798C4×D73—21no—
799C4×D73—21no—
800C4×D73—41no—
801C4×D73—41no—
802C4×D73—42no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814C4×D73—81no—
815Dic146—21no—
816Dic146—21no—
817Dic146—41no—
818Dic146—81no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—22no—
831C22×C73—21no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73C23×D411yescharacteristic
835C2×D73—21no—
836C2×D73—21no—
837C2×D73—21no—
838C2×D73—21no—
839C2×D73—21no—
840C2×D73—21no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—84no—
857C2×D73—162no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—21no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73—41no—
869C4×C73—41no—
870C4×C73—41no—
871C4×C73C2×H(5,𝔽2)11yescharacteristic
872C4×C73#58511yescharacteristic
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—21no—
877Dic73—21no—
878Dic73—21no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62027—731nomaximal, Sylow
883C2×C73—42no—
884C2×C73—41no—
885C2×C73#348811yescharacteristic
886C2×C73#358411yescharacteristic
887C2×C73#358511yescharacteristic
888D73—41no—
889D73—41no—
890D73—81no—
891D73—81no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3562—731no—
896#3513—731no—
897#3401—731no—
898#3396—731no—
899#3370—731no—
900#3360—731no—
901#3330—731no—
902#3327—731no—
903#3326—731no—
904#3317—731no—
905#3306—731no—
906#3297—731no—
907#3282—731no—
908#3274—731no—
909#3273—731no—
910#3273—731no—
911#3267—731no—
912#3265—731no—
913#3260—731no—
914#3257—731no—
915#3256—731no—
916#3225—731no—
917#3220—731no—
918#3212—731no—
919#3122—731no—
920#3120D7311yescharacteristic, complemented
921#3105—731no—
922#3045—731no—
923#3042—731no—
924#3036—731no—
925#2993—731no—
926C73#6202711yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)—731no—
930C2×AGL(1,ℤ/8)—731no—
931C2×#135—731no—
932C22×SD16—731no—
933#562—1461no—
934#560—1461no—
935#559—731no—
936#559—731no—
937#556—731no—
938#554—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#552—731no—
943#551—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#548—731no—
948#548—731no—
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—731no—
955#546—1461no—
956D42—731no—
957#542—731no—
958#541C2×D7311yescharacteristic, complemented
959#540—731no—
960#540—731no—
961#540—1461no—
962#539—1461no—
963#539—1461no—
964#538—1461no—
965#538—1461no—
966#538—1461no—
967#536—731no—
968#535—731no—
969#532—731no—
970#529—731no—
971#529—731no—
972#529—731no—
973#525—1461no—
974C2×#123—1461no—
975#520C2×D7311yescharacteristic
976#518—731no—
977C2×C4×D4—731no—
978#497—731no—
979#496—731no—
980#495—731no—
981#495—731no—
982#495—731no—
983#493—731no—
984#490—731no—
985#489—731no—
986#488—731no—
987#488—731no—
988#488—731no—
989#487—731no—
990#484—731no—
991#484C2×D7311yescharacteristic, complemented
992#483C2×D7311yescharacteristic, complemented
993#482—731no—
994#482—731no—
995#481—731no—
996#479—731no—
997#479—731no—
998#479—731no—
999#479C2×D7311yescharacteristic, complemented
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478C2×D7311yescharacteristic, complemented
1004#476—731no—
1005#474—731no—
1006#470—731no—
1007#469—731no—
1008#469—731no—
1009#468—731no—
1010#468—731no—
1011#468—731no—
1012#468—731no—
1013#468—731no—
1014#466—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#463—731no—
1034#462C2×D7311yescharacteristic, complemented
1035#461—731no—
1036#461—731no—
1037#461—731no—
1038#461—731no—
1039#461C2×D7311yescharacteristic, complemented
1040#460—731no—
1041#460—731no—
1042#460—731no—
1043#460—731no—
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452C2×D7311yescharacteristic
1052#452C2×D7311yescharacteristic
1053#451—731no—
1054#450—731no—
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449—731no—
1060#448—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447—731no—
1066#446—731no—
1067C8×Q8—731no—
1068#442—731no—
1069#442—731no—
1070#441C2×D7311yescharacteristic, complemented
1071#440C2×D7311yescharacteristic, complemented
1072C4×Q16C2×D7311yescharacteristic, complemented
1073C4×SD16—731no—
1074C4×SD16—731no—
1075C4×SD16C2×D7311yescharacteristic, complemented
1076C4×D8—731no—
1077C4×D8—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#436—731no—
1081#436—731no—
1082#436—731no—
1083#435—731no—
1084#435—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433C2×D7311yescharacteristic, complemented
1088#431—731no—
1089#424—731no—
1090#424—731no—
1091#423—731no—
1092#419—731no—
1093#417—731no—
1094#417—731no—
1095#417—731no—
1096#416—731no—
1097C2×#102—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—1461no—
1103C2×#41C22×D7311yescharacteristic
1104C22×Q8—731no—
1105C22×D4—731no—
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—1461no—
1109C23×C4—1461no—
1110AGL(1,ℤ/8)—2922no—
1111AGL(1,ℤ/8)—2922no—
1112AGL(1,ℤ/8)—2922no—
1113AGL(1,ℤ/8)—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16C22×D7311yescharacteristic
1117C2×Q16C22×D7311yescharacteristic
1118C2×SD16—2922no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8—731no—
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16—731no—
1143C2×M16—731no—
1144C22×C8—731no—
1145C22×C8—731no—
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8C22×D7311yescharacteristic
1149#127—731no—
1150#127—731no—
1151#127—731no—
1152#127—1461no—
1153#126—21no—
1154#126—21no—
1155#126—731no—
1156#126—731no—
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#125—21no—
1165#125—21no—
1166#125—731no—
1167#125—731no—
1168#125—731no—
1169#125—1461no—
1170#125C22×D7311yescharacteristic
1171#124—731no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—731no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#123—731no—
1185#123—731no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209C22⋊Q8—731no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8C22×D7311yescharacteristic
1224C22⋊Q8C22×D7311yescharacteristic
1225#121—731no—
1226#121—731no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—731no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#120—1461no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8C22×D7311yescharacteristic
1263C4×Q8C22×D7311yescharacteristic
1264C4×Q8C22×D7311yescharacteristic
1265C4×Q8C22×D7311yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—21no—
1297#117—731no—
1298#117—731no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117C22×D7311yescharacteristic
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—731no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4C22×D7311yescharacteristic
1309C2×C22⋊C4—1461no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C22⋊C4—1461no—
1316C2×C42—731no—
1317#107—731no—
1318#107—731no—
1319#107C22×D7311yescharacteristic
1320#107C22×D7311yescharacteristic
1321#106—731no—
1322#106—731no—
1323#106C22×D7311yescharacteristic
1324#106C22×D7311yescharacteristic
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8C22×D7311yescharacteristic
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103C22×D7311yescharacteristic
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#103C22×D7311yescharacteristic
1348#103C22×D7311yescharacteristic
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102—731no—
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8C22×D7311yescharacteristic
1372C22⋊C8C22×D7311yescharacteristic
1373#97—731no—
1374#97C22×D7311yescharacteristic
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8—731no—
1378C4×C8C22×D7311yescharacteristic
1379C24—1461no—
1380C24—1461no—
1381C24—1461no—
1382#41—22no—
1383#41—41no—
1384#41—2921no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—2921no—
1392#41—5842no—
1393C2×Q8—2921no—
1394C2×Q8—2921no—
1395C2×Q8—731no—
1396C2×Q8—731no—
1397C2×Q8—1461no—
1398C2×Q8—1461no—
1399C2×Q8C23×D7311yescharacteristic
1400C2×Q8C23×D7311yescharacteristic
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—21no—
1403C2×D4—2921no—
1404C2×D4—2921no—
1405C2×D4—2921no—
1406C2×D4—2921no—
1407C2×D4—5842no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—731no—
1411C2×D4—731no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1462no—
1427C2×D4—1462no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4C23×D7311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—5842no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4C23×D7311yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—2921no—
1467SD16—22no—
1468SD16—22no—
1469SD16—2921no—
1470SD16—2921no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—2921no—
1478SD16—1462no—
1479D8—2921no—
1480D8—2921no—
1481D8—2921no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—1462no—
1486D8—1462no—
1487D8—1462no—
1488M16—2921no—
1489M16—2921no—
1490M16—2921no—
1491M16—2921no—
1492C2×C8—2921no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—731no—
1519C4⋊C4—731no—
1520C4⋊C4—731no—
1521C4⋊C4—731no—
1522C4⋊C4—731no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4D4×D7311yescharacteristic
1536C4⋊C4D4×D7311yescharacteristic
1537C4⋊C4C23×D7311yescharacteristic
1538C4⋊C4C23×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—731no—
1546C22⋊C4—731no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4D4×D7311yescharacteristic
1588C22⋊C4D4×D7311yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—21no—
1593C42—731no—
1594C42—731no—
1595C42—731no—
1596C42—731no—
1597C42—1461no—
1598C42—1461no—
1599C42C23×D7311yescharacteristic
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—2922no—
1603C23—2922no—
1604C23—2922no—
1605C23—5841no—
1606C23—5841no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—731no—
1612C23—731no—
1613C23—1461no—
1614C23—1461no—
1615C23—1461no—
1616C23—1461no—
1617C23—1461no—
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—2921no—
1626Q8—5841no—
1627Q8—5841no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—42no—
1632D4—2921no—
1633D4—2922no—
1634D4—2922no—
1635D4—2922no—
1636D4—2921no—
1637D4—2921no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—1461no—
1656D4—1461no—
1657D4—1461no—
1658D4—1461no—
1659D4—1461no—
1660D4—1461no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665D4#1455663712yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—2921no—
1680C2×C4—2921no—
1681C2×C4—2922no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—5841no—
1695C2×C4—5841no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—731no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—22no—
1725C22—21no—
1726C22—21no—
1727C22—41no—
1728C22—41no—
1729C22—2921no—
1730C22—2921no—
1731C22—2921no—
1732C22—2921no—
1733C22—2921no—
1734C22—2921no—
1735C22—2921no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—5844no—
1745C22—11682no—
1746C22—11682no—
1747C22—1461no—
1748C22—1461no—
1749C22—1461no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—2921no—
1767C4—2921no—
1768C4—2921no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4C2×#1455663711yescharacteristic
1776C4#1798942311yescharacteristic
1777C2—41no—
1778C2—42no—
1779C2—2921no—
1780C2—2921no—
1781C2—5841no—
1782C2—5841no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359211yescharacteristic
1787C2#2262470111yescharacteristic
1788C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3120C2
socleC22×C73C23×D4
hypercenter#3120D73
hypocenterC73#62027
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3120

Complements

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

NH ≅ G/Ntype
1. #22624525C2semidirect
2. #22623873C2semidirect
3. #22622998C2semidirect
4. #22622941C2semidirect
5. #22622685C2semidirect
6. #22622581C2semidirect
7. #22622234C2semidirect
8. #22622204C2semidirect
9. #22622187C2semidirect
10. #22622062C2semidirect
11. #22621890C2semidirect
12. #22621779C2semidirect
13. #22621636C2semidirect
14. #22621552C2semidirect
15. #22621535C2semidirect
16. #22621535C2semidirect
17. #22621460C2semidirect
18. #22621428C2semidirect
19. #22621372C2semidirect
20. #22621348C2semidirect
21. #22621334C2semidirect
22. #22621047C2semidirect
23. #22620983C2semidirect
24. #22620912C2semidirect
25. #22620176C2semidirect
26. #22619983C2semidirect
27. #22619470C2semidirect
28. #22619438C2semidirect
29. #22619396C2semidirect
30. #22619074C2semidirect
31. C73×#3120C2semidirect
34. C2×#14556618C22semidirect
37. C2×SD16×D73C22semidirect
40. #17989322C22semidirect
41. #17989322C22semidirect
42. #17989309C22semidirect
43. #17989296C22semidirect
47. #17989278C22semidirect
53. #17989247C22semidirect
54. #17989239C22semidirect
57. #17989228C22semidirect
58. #17989228C22semidirect
61. D4×D292C22semidirect
62. #17989209C22semidirect
64. #17989193C22semidirect
71. #17989162C22semidirect
72. #17989156C22semidirect
73. #17989138C22semidirect
74. #17989124C22semidirect
75. #17989122C22semidirect
79. #17989059C22semidirect
80. C4×D4×D73C22semidirect
81. #17988980C22semidirect
83. #17988972C22semidirect
84. #17988972C22semidirect
85. #17988972C22semidirect
87. #17988952C22semidirect
88. #17988948C22semidirect
89. #17988943C22semidirect
90. #17988943C22semidirect
91. #17988942C22semidirect
92. #17988936C22semidirect
93. #17988924C22semidirect
94. #17988914C22semidirect
95. #17988913C22semidirect
96. #17988907C22semidirect
97. #17988897C22semidirect
98. #17988894C22semidirect
99. #17988894C22semidirect
100. #17988890C22semidirect
101. #17988884C22semidirect
102. #17988884C22semidirect
103. #17988876C22semidirect
104. #17988866C22semidirect
105. #17988844C22semidirect
107. #17988841C22semidirect
108. #17988836C22semidirect
109. #17988836C22semidirect
110. #17988835C22semidirect
111. #17988835C22semidirect
112. #17988834C22semidirect
114. #17988819C22semidirect
115. #17988818C22semidirect
116. #17988818C22semidirect
117. #17988812C22semidirect
118. #17988809C22semidirect
119. #17988809C22semidirect
120. #17988805C22semidirect
121. #17988805C22semidirect
122. #17988805C22semidirect
123. #17988805C22semidirect
124. #17988805C22semidirect
125. #17988805C22semidirect
128. #17988804C22semidirect
129. #17988803C22semidirect
130. #17988803C22semidirect
133. #17988791C22semidirect
134. #17988790C22semidirect
135. #17988789C22semidirect
136. #17988789C22semidirect
137. #17988787C22semidirect
138. #17988787C22semidirect
139. #17988787C22semidirect
140. #17988787C22semidirect
141. #17988783C22semidirect
142. #17988783C22semidirect
145. #17988748C22semidirect
146. #17988748C22semidirect
147. #17988748C22semidirect
148. #17988741C22semidirect
149. #17988739C22semidirect
152. #17988735C22semidirect
153. #17988734C22semidirect
154. #17988734C22semidirect
155. #17988727C22semidirect
156. #17988723C22semidirect
157. #17988723C22semidirect
160. #17988722C22semidirect
161. #17988715C22semidirect
162. C8×Dic146C22semidirect
163. #17988698C22semidirect
164. #17988696C22semidirect
165. #17988678C22semidirect
166. #17988674C22semidirect
167. #17988669C22semidirect
168. #17988669C22semidirect
171. #17988666C22semidirect
172. #17988662C22semidirect
173. #17988662C22semidirect
174. #17988660C22semidirect
175. #17988655C22semidirect
176. #17988650C22semidirect
177. #17988647C22semidirect
178. #17988639C22semidirect
179. #17988614C22semidirect
180. #17988612C22semidirect
181. #17988609C22semidirect
182. #17988594C22semidirect
183. #17988587C22semidirect
184. #17988587C22semidirect
185. #17988586C22semidirect
186. #17988582C22semidirect
187. C2×#14556511C22semidirect
188. #541×C73C22semidirect
190. #484×C73C22semidirect
191. #483×C73C22semidirect
192. #479×C73C22semidirect
193. #478×C73C22semidirect
194. #462×C73C22semidirect
195. #461×C73C22semidirect
198. #441×C73C22semidirect
199. #440×C73C22semidirect
200. C4×Q16×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. #433×C73C22semidirect
920. #3120D73semidirect
926. C73#62027semidirect
958. #541C2×D73semidirect
991. #484C2×D73semidirect
992. #483C2×D73semidirect
999. #479C2×D73semidirect
1003. #478C2×D73semidirect
1034. #462C2×D73semidirect
1039. #461C2×D73semidirect
1070. #441C2×D73semidirect
1071. #440C2×D73semidirect
1072. C4×Q16C2×D73semidirect
1075. C4×SD16C2×D73semidirect
1087. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245252
#226238732
#226229982
#226229412
#226226852
#226225812
#226222342
#226222042
#226221872
#226220622
#226218902
#226217792
#226216362
#226215522
#226215352
#226214602
#226214282
#226213722
#226213482
#226213342
#226210472
#226209832
#226209122
#226201762
#226199832
#226194702
#226194382
#226193962
#226190742
C73×#31202
#6202773