Finite Group Databasebeta

← #33979774

Subgroups — #33979774

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#22624526C211yesmaximal, characteristic, complemented
2#22623874C211yesmaximal, characteristic, complemented
3#22622997C211yesmaximal, characteristic, complemented
4#22622944C211yesmaximal, characteristic, complemented
5#22622684C211yesmaximal, characteristic, complemented
6#22622235C211yesmaximal, characteristic, complemented
7#22622198C211yesmaximal, characteristic, complemented
8#22622181C211yesmaximal, characteristic, complemented
9#22622054C211yesmaximal, characteristic, complemented
10#22621889C211yesmaximal, characteristic, complemented
11#22621780C211yesmaximal, characteristic, complemented
12#22621640C211yesmaximal, characteristic, complemented
13#22621552C211yesmaximal, characteristic, complemented
14#22621541C211yesmaximal, characteristic, complemented
15#22621537C211yesmaximal, characteristic, complemented
16#22621462C211yesmaximal, characteristic, complemented
17#22621432C211yesmaximal, characteristic, complemented
18#22621376C211yesmaximal, characteristic, complemented
19#22621341C211yesmaximal, characteristic, complemented
20#22621334C211yesmaximal, characteristic, complemented
21#22621043C211yesmaximal, characteristic, complemented
22#22620984C211yesmaximal, characteristic, complemented
23#22620908C211yesmaximal, characteristic, complemented
24#22620171C211yesmaximal, characteristic, complemented
25#22620141C211yesmaximal, characteristic, complemented
26#22619982C211yesmaximal, characteristic, complemented
27#22619471C211yesmaximal, characteristic, complemented
28#22619438C211yesmaximal, characteristic, complemented
29#22619393C211yesmaximal, characteristic, complemented
30#22619079C211yesmaximal, characteristic, complemented
31C73×#3360C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556618C2211yescharacteristic, complemented
34C2×#14556615C2211yescharacteristic
35C2×#14556615C2211yescharacteristic
36C2×#14556612C2211yescharacteristic
37C2×SD16×D73C2211yescharacteristic, complemented
38#17989333—21no—
39#17989328—21no—
40#17989322C2211yescharacteristic, complemented
41#17989322C2211yescharacteristic, complemented
42#17989290C2211yescharacteristic
43#17989288—21no—
44#17989285—21no—
45#17989275C2211yescharacteristic, complemented
46#17989264—21no—
47#17989264—21no—
48#17989261—21no—
49#17989259C2211yescharacteristic
50#17989249C2211yescharacteristic, complemented
51#17989245C2211yescharacteristic
52#17989240C2211yescharacteristic
53#17989240C2211yescharacteristic, complemented
54#17989232C2211yescharacteristic
55#17989232C2211yescharacteristic
56#17989232C2211yescharacteristic, complemented
57#17989230C2211yescharacteristic, complemented
58#17989228—21no—
59D4×D292C2211yescharacteristic, complemented
60#17989211C2211yescharacteristic, complemented
61#17989195C2211yescharacteristic, complemented
62#17989193C2211yescharacteristic
63#17989192—21no—
64#17989188C2211yescharacteristic, complemented
65#17989186—21no—
66#17989178—21no—
67#17989177—21no—
68#17989177—21no—
69#17989176—21no—
70#17989162C2211yescharacteristic, complemented
71#17989155C2211yescharacteristic, complemented
72#17989136C2211yescharacteristic, complemented
73#17989124C2211yescharacteristic
74#17989124C2211yescharacteristic, complemented
75#17989122C2211yescharacteristic, complemented
76#17989100—21no—
77C2×#14556576—21no—
78#17989066C2211yescharacteristic
79#17989059C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988979C2211yescharacteristic, complemented
82#17988977C2211yescharacteristic
83#17988971C2211yescharacteristic, complemented
84#17988971C2211yescharacteristic, complemented
85#17988969C2211yescharacteristic, complemented
86#17988964C2211yescharacteristic
87#17988953C2211yescharacteristic, complemented
88#17988949C2211yescharacteristic, complemented
89#17988944C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988897C2211yescharacteristic, complemented
97#17988891C2211yescharacteristic, complemented
98#17988890C2211yescharacteristic, complemented
99#17988886C2211yescharacteristic, complemented
100#17988885C2211yescharacteristic, complemented
101#17988884C2211yescharacteristic, complemented
102#17988864C2211yescharacteristic, complemented
103#17988844C2211yescharacteristic, complemented
104#17988841C2211yescharacteristic
105#17988841C2211yescharacteristic, complemented
106#17988836C2211yescharacteristic, complemented
107#17988836C2211yescharacteristic, complemented
108#17988834C2211yescharacteristic, complemented
109#17988834C2211yescharacteristic, complemented
110#17988832C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic
112#17988819C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988809C2211yescharacteristic, complemented
117#17988806C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic
121#17988803C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988803C2211yescharacteristic, complemented
124#17988803C2211yescharacteristic, complemented
125#17988802C2211yescharacteristic
126#17988802C2211yescharacteristic, complemented
127#17988802C2211yescharacteristic, complemented
128#17988799C2211yescharacteristic, complemented
129#17988796C2211yescharacteristic, complemented
130#17988791C2211yescharacteristic, complemented
131#17988791C2211yescharacteristic, complemented
132#17988790C2211yescharacteristic, complemented
133#17988789C2211yescharacteristic, complemented
134#17988788C2211yescharacteristic, complemented
135#17988788C2211yescharacteristic, complemented
136#17988787C2211yescharacteristic, complemented
137#17988786C2211yescharacteristic, complemented
138#17988782C2211yescharacteristic
139#17988781C2211yescharacteristic, complemented
140#17988781C2211yescharacteristic, complemented
141#17988780C2211yescharacteristic
142#17988752C2211yescharacteristic, complemented
143#17988752C2211yescharacteristic, complemented
144#17988750C2211yescharacteristic
145#17988750C2211yescharacteristic, complemented
146#17988746C2211yescharacteristic
147#17988744C2211yescharacteristic, complemented
148#17988736C2211yescharacteristic, complemented
149#17988735C2211yescharacteristic
150#17988735C2211yescharacteristic, complemented
151#17988735C2211yescharacteristic, complemented
152#17988735C2211yescharacteristic, complemented
153#17988733C2211yescharacteristic
154#17988727C2211yescharacteristic, complemented
155#17988722C2211yescharacteristic
156#17988722C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic
160#17988718C2211yescharacteristic, complemented
161#17988697C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic, complemented
163#17988692C2211yescharacteristic, complemented
164#17988687C2211yescharacteristic, complemented
165C4×Dic292C2211yescharacteristic, complemented
166C4×#11924015C2211yescharacteristic, complemented
167C4×D584C2211yescharacteristic, complemented
168C4×D584C2211yescharacteristic, complemented
169C4×#11924013C2211yescharacteristic
170#17988666C2211yescharacteristic, complemented
171#17988666C2211yescharacteristic, complemented
172#17988664C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic, complemented
174#17988657C2211yescharacteristic, complemented
175C8×D292C2211yescharacteristic, complemented
176#17988646C2211yescharacteristic, complemented
177#17988646C2211yescharacteristic, complemented
178#17988638C2211yescharacteristic, complemented
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181#17988609C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988587C2211yescharacteristic, complemented
184#17988587C2211yescharacteristic, complemented
185#17988585C2211yescharacteristic, complemented
186#17988582C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#556×C73C2211yescharacteristic, complemented
189#554×C73C2211yescharacteristic, complemented
190#488×C73C2211yescharacteristic, complemented
191#488×C73C2211yescharacteristic, complemented
192#487×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#479×C73C2211yescharacteristic, complemented
195#476×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic
197#463×C73C2211yescharacteristic
198#461×C73C2211yescharacteristic, complemented
199C8×Q8×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202C4×D8×C73C2211yescharacteristic
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C2×#11924027C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C22×D292—21no—
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C2×D4×D73C2311yescharacteristic
214C22×C4×D73—21no—
215#14556618—42no—
216#14556618—42no—
217#14556615—42no—
218#14556615—42no—
219#14556612—42no—
220C2×Dic292C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233SD16×D73—42no—
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C2×#11924011C2311yescharacteristic
244C2×#11924011C2311yescharacteristic
245C2×#11924011C2311yescharacteristic
246C2×C8×D73C2311yescharacteristic
247C2×C8×D73C2311yescharacteristic
248#14556589C2311yescharacteristic
249#14556588—21no—
250#14556588C2311yescharacteristic
251#14556588C2311yescharacteristic
252#14556587C2311yescharacteristic
253#14556586—21no—
254#14556586—21no—
255#14556586—21no—
256#14556586—21no—
257#14556586—21no—
258#14556586—21no—
259#14556586D411yescharacteristic
260#14556586D411yescharacteristic
261#14556585—21no—
262#14556583—21no—
263#14556582—21no—
264#14556582D411yescharacteristic
265#14556582C2311yescharacteristic
266#14556581—21no—
267#14556580—21no—
268#14556580—21no—
269#14556580—21no—
270#14556580D411yescharacteristic
271#14556580C2311yescharacteristic
272#14556579—21no—
273#14556579C2311yescharacteristic
274#14556579C2311yescharacteristic
275#14556579C2311yescharacteristic
276#14556579C2311yescharacteristic
277#14556577—21no—
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#14556576D411yescharacteristic
296#14556576D411yescharacteristic
297#14556575—21no—
298#14556575—21no—
299#14556575—21no—
300#14556574—21no—
301#14556573—21no—
302#14556573—21no—
303#14556571—21no—
304#14556571C2311yescharacteristic
305#14556571C2311yescharacteristic
306#14556571C2311yescharacteristic
307#14556569—21no—
308#14556569—21no—
309#14556568—21no—
310#14556567—21no—
311#14556567—21no—
312#14556567D411yescharacteristic
313#14556567C2311yescharacteristic
314#14556567C2311yescharacteristic
315#14556566—21no—
316#14556566—21no—
317#14556566—21no—
318#14556566—21no—
319#14556566—21no—
320#14556566—21no—
321#14556566—21no—
322#14556566D411yescharacteristic
323#14556566C2311yescharacteristic
324#14556566C2311yescharacteristic
325#14556566C2311yescharacteristic
326#14556566C2311yescharacteristic
327#14556566C2311yescharacteristic
328#14556566C2311yescharacteristic
329#14556565—21no—
330#14556565—21no—
331#14556565—21no—
332#14556565—21no—
333#14556565—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556564—21no—
340#14556564—21no—
341#14556562C2311yescharacteristic
342#14556561—21no—
343#14556561—21no—
344#14556561—21no—
345#14556561—21no—
346#14556561—21no—
347#14556561—21no—
348#14556561—21no—
349#14556561—21no—
350C4×Dic146C2311yescharacteristic
351C4×Dic146C2311yescharacteristic
352#14556556C2311yescharacteristic
353C4×D292—21no—
354C4×D292—21no—
355C4×D292—21no—
356C4×D292C2311yescharacteristic
357C4×D292C2311yescharacteristic
358C4×D292C2311yescharacteristic
359C4×D292C2311yescharacteristic
360C4×D292C2311yescharacteristic
361C4×D292C2311yescharacteristic
362C4×D292C2311yescharacteristic
363D4×Dic73C2311yescharacteristic
364#14556553—21no—
365#14556553—21no—
366#14556553—21no—
367#14556553—21no—
368#14556553C2311yescharacteristic
369#14556553C2311yescharacteristic
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373#14556551—21no—
374#14556551—21no—
375#14556551—21no—
376#14556551—21no—
377#14556551—21no—
378#14556551—21no—
379#14556549—21no—
380#14556549—21no—
381#14556549C2311yescharacteristic
382#14556548—21no—
383#14556548C2311yescharacteristic
384#14556548C2311yescharacteristic
385#14556547—21no—
386C2×#11924007—21no—
387C4⋊C4×D73—21no—
388C4⋊C4×D73C2311yescharacteristic
389C4⋊C4×D73C2311yescharacteristic
390C2×#11924005—21no—
391C2×#11924005—21no—
392C2×#11924005—21no—
393C2×#11924005—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396C22⋊C4×D73—21no—
397C42×D73C2311yescharacteristic
398#14556525C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556524C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405C4⋊#10596831C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556502C2311yescharacteristic
439#14556502C2311yescharacteristic
440C4×#10596831C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#126×C73—21no—
447#126×C73—21no—
448#125×C73C2311yescharacteristic
449#125×C73C2311yescharacteristic
450#124×C73C2311yescharacteristic
451#124×C73C2311yescharacteristic
452C22⋊Q8×C73—21no—
453C22⋊Q8×C73—21no—
454C22⋊Q8×C73—21no—
455C22⋊Q8×C73—21no—
456C4×Q8×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463#117×C73—21no—
464C2×C4⋊C4×C73—21no—
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C4×C8×C73C2311yescharacteristic
482C4×C8×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#11924029—82no—
494#11924027—22no—
495#11924027—41no—
496#11924027—41no—
497#11924027—41no—
498C2×Dic146—21no—
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501Q8×D73—41no—
502Q8×D73—41no—
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—82no—
517C2×D292C2×D411yescharacteristic
518C2×D292C2×D411yescharacteristic
519C2×D292C2×D411yescharacteristic
520C2×D292C2411yescharacteristic
521C2×D292C2411yescharacteristic
522C2×D292C2411yescharacteristic
523C2×D292C2411yescharacteristic
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532D4×D73—22no—
533D4×D73—22no—
534D4×D73—41no—
535D4×D73—41no—
536D4×D73—41no—
537D4×D73—41no—
538C22×Dic73—21no—
539C22×Dic73—21no—
540C22×Dic73—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—21no—
553C2×C4×D73—82no—
554C2×C4×D73C2×D411yescharacteristic
555C2×C4×D73C2×D411yescharacteristic
556C2×C4×D73C2411yescharacteristic
557C2×C4×D73C2411yescharacteristic
558C2×C4×D73C2411yescharacteristic
559Dic292—41no—
560#11924018—41no—
561#11924018—41no—
562#11924017—41no—
563#11924017—41no—
564#11924017—41no—
565#11924017—41no—
566#11924016—22no—
567#11924016—41no—
568#11924015—41no—
569#11924015—41no—
570#11924015—41no—
571#11924015—41no—
572D584—41no—
573D584—41no—
574D584—41no—
575D584—41no—
576#11924013—22no—
577#11924013—22no—
578#11924013—41no—
579#11924013—41no—
580#11924011—41no—
581#11924011—41no—
582#11924011—41no—
583#11924011—41no—
584C2×#10596831C2411yescharacteristic
585C2×#10596831C2411yescharacteristic
586C2×#10596831C2411yescharacteristic
587C2×#10596831C2411yescharacteristic
588C8×D73—41no—
589C8×D73—41no—
590C4⋊Dic73—21no—
591C4⋊Dic73—21no—
592C4⋊Dic73—21no—
593C4⋊Dic73—21no—
594C4⋊Dic73C2×D411yescharacteristic
595C4⋊Dic73C2×D411yescharacteristic
596C4⋊Dic73C2×D411yescharacteristic
597C4⋊Dic73C2411yescharacteristic
598C4⋊Dic73C2411yescharacteristic
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007C2×D411yescharacteristic
610#11924007C2×D411yescharacteristic
611#11924007C2×D411yescharacteristic
612#11924007C2×D411yescharacteristic
613C22⋊Dic73—21no—
614C22⋊Dic73—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#11924005C2×D411yescharacteristic
644#11924005C2×D411yescharacteristic
645#11924005C2×D411yescharacteristic
646#11924005C2×D411yescharacteristic
647#11924005C2×D411yescharacteristic
648#11924005C2×D411yescharacteristic
649#11924005C2×D411yescharacteristic
650#11924005C2×D411yescharacteristic
651#11924005C2×D411yescharacteristic
652#11924005C2×D411yescharacteristic
653C4×Dic73—21no—
654C4×Dic73—21no—
655C4×Dic73—21no—
656C4×Dic73—21no—
657C4×Dic73C2×D411yescharacteristic
658C4×Dic73C2×D411yescharacteristic
659C4×Dic73C2411yescharacteristic
660C2×Q8×C73—21no—
661C2×Q8×C73C2×D411yescharacteristic
662C2×Q8×C73C2411yescharacteristic
663C2×Q8×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670SD16×C73—22no—
671SD16×C73—22no—
672D8×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×C73C2×D411yescharacteristic
687C4⋊C4×C73C2×D411yescharacteristic
688C4⋊C4×C73C2×D411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C42×C73—21no—
702C42×C73—21no—
703C42×C73C2411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C22×D73—21no—
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73C22×D411yescharacteristic
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—41no—
729Q8×C73—81no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73H(5,𝔽2)12yes—
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—81no—
741C2×C4×C73—81no—
742C2×C4×C73—81no—
743C2×C4×C73—81no—
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C2511yescharacteristic
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—42no—
764C2×Dic73—81no—
765C2×Dic73—81no—
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771D292—21no—
772D292—21no—
773D292—21no—
774D292—21no—
775D292—21no—
776D292—21no—
777D292—21no—
778D292—21no—
779D292—41no—
780D292—41no—
781D292—41no—
782D292—42no—
783D292—81no—
784D292—81no—
785D292—81no—
786D292—81no—
787D292—81no—
788D292—81no—
789D292—81no—
790D292—81no—
791D292—81no—
792D292—81no—
793D292—81no—
794D292—81no—
795C4×D73—21no—
796C4×D73—21no—
797C4×D73—21no—
798C4×D73—21no—
799C4×D73—21no—
800C4×D73—21no—
801C4×D73—41no—
802C4×D73—41no—
803C4×D73—42no—
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—21no—
818Dic146—21no—
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—22no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
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—21no—
842C2×D73—21no—
843C2×D73—21no—
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—21no—
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—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62027—731nomaximal, Sylow
883C2×C73—42no—
884C2×C73—81no—
885C2×C73#348811yescharacteristic
886C2×C73#358411yescharacteristic
887C2×C73#358511yescharacteristic
888D73—41no—
889D73—41no—
890D73—41no—
891D73—81no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3562—731no—
896#3513—731no—
897#3401—731no—
898#3396—731no—
899#3370—731no—
900#3360D7311yescharacteristic, complemented
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#3120—731no—
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#556C2×D7311yescharacteristic, complemented
938#554C2×D7311yescharacteristic, complemented
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#541—731no—
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#520—731no—
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#488C2×D7311yescharacteristic, complemented
988#488C2×D7311yescharacteristic, complemented
989#487C2×D7311yescharacteristic, complemented
990#484—731no—
991#484—731no—
992#483—731no—
993#482—731no—
994#482—731no—
995#481—731no—
996#479—731no—
997#479—731no—
998#479C2×D7311yescharacteristic, complemented
999#479C2×D7311yescharacteristic, complemented
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#476C2×D7311yescharacteristic, complemented
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#463C2×D7311yescharacteristic
1033#463C2×D7311yescharacteristic
1034#462—731no—
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#452—731no—
1052#452—731no—
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×Q8C2×D7311yescharacteristic, complemented
1068#442—731no—
1069#442—731no—
1070#441—731no—
1071#440—731no—
1072C4×Q16—731no—
1073C4×SD16—731no—
1074C4×SD16C2×D7311yescharacteristic, complemented
1075C4×SD16C2×D7311yescharacteristic, complemented
1076C4×D8—731no—
1077C4×D8—731no—
1078C4×D8—731no—
1079C4×D8C2×D7311yescharacteristic
1080#436—731no—
1081#436—731no—
1082#436—731no—
1083#435—731no—
1084#435—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
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—731no—
1103C2×#41—1461no—
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×Q16—731no—
1117C2×Q16—731no—
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×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16—731no—
1143C2×M16—731no—
1144C22×C8—731no—
1145C22×C8—731no—
1146C4⋊Q8—731no—
1147C4⋊Q8C22×D7311yescharacteristic
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—731no—
1165#125—731no—
1166#125—1461no—
1167#125—1461no—
1168#125—1461no—
1169#125C22×D7311yescharacteristic
1170#125C22×D7311yescharacteristic
1171#124—731no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—1461no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124C22×D7311yescharacteristic
1183#124C22×D7311yescharacteristic
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—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—731no—
1214C22⋊Q8—731no—
1215C22⋊Q8—731no—
1216C22⋊Q8—731no—
1217C22⋊Q8—731no—
1218C22⋊Q8—731no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8—1461no—
1224C22⋊Q8—1461no—
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×Q8—731no—
1263C4×Q8C22×D7311yescharacteristic
1264C4×Q8C22×D7311yescharacteristic
1265C4×Q8C22×D7311yescharacteristic
1266C4×D4—731no—
1267C4×D4—731no—
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—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1293C4×D4C22×D7311yescharacteristic
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—21no—
1297#117—731no—
1298#117—731no—
1299#117—731no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117—1461no—
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—731no—
1306C2×C4⋊C4—731no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4—1461no—
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#107—731no—
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⋊C8C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8—731no—
1372C22⋊C8—731no—
1373#97—731no—
1374#97—731no—
1375C4×C8—731no—
1376C4×C8C22×D7311yescharacteristic
1377C4×C8C22×D7311yescharacteristic
1378C4×C8C22×D7311yescharacteristic
1379C24—1461no—
1380C24—1461no—
1381C24—1461no—
1382#41—2921no—
1383#41—2921no—
1384#41—2921no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—5842no—
1392#41—1462no—
1393C2×Q8—21no—
1394C2×Q8—2921no—
1395C2×Q8—2921no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—1461no—
1399C2×Q8D4×D7311yescharacteristic
1400C2×Q8C23×D7311yescharacteristic
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—2921no—
1403C2×D4—2921no—
1404C2×D4—2921no—
1405C2×D4—2921no—
1406C2×D4—5842no—
1407C2×D4—731no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—731no—
1411C2×D4—731no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—1461no—
1415C2×D4—1461no—
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—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1462no—
1430C2×D4—1462no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4C23×D7311yescharacteristic
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—731no—
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×C4—1461no—
1464Q16—2921no—
1465Q16—2921no—
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—22no—
1480D8—2921no—
1481D8—2921no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—2921no—
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—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—731no—
1519C4⋊C4—731no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
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—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
1557C22⋊C4—731no—
1558C22⋊C4—731no—
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⋊C4—1461no—
1588C22⋊C4—1461no—
1589C42—21no—
1590C42—21no—
1591C42—731no—
1592C42—731no—
1593C42—731no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42C23×D7311yescharacteristic
1599C42C23×D7311yescharacteristic
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—2922no—
1604C23—2922no—
1605C23—2922no—
1606C23—5841no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—731no—
1613C23—731no—
1614C23—731no—
1615C23—1461no—
1616C23—1461no—
1617C23—1461no—
1618C23—1461no—
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—41no—
1624Q8—81no—
1625Q8—5841no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—2921no—
1634D4—2921no—
1635D4—2921no—
1636D4—2922no—
1637D4—2922no—
1638D4—2922no—
1639D4—2922no—
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—5841no—
1656D4—5841no—
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—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—2921no—
1677C2×C4—2921no—
1678C2×C4—2922no—
1679C2×C4—2922no—
1680C2×C4—5841no—
1681C2×C4—5841no—
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—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—1461no—
1699C2×C4—1461no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4C2×D4×D7311yescharacteristic
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—22no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
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—5844no—
1742C22—11682no—
1743C22—11682no—
1744C22—1461no—
1745C22—1461no—
1746C22—1461no—
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—21no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—2921no—
1767C4—2921no—
1768C4—2921no—
1769C4—2921no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4C2×#1455663711yescharacteristic
1776C4#1798942411yescharacteristic
1777C2—42no—
1778C2—81no—
1779C2—2921no—
1780C2—2921no—
1781C2—2921no—
1782C2—5841no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359711yescharacteristic
1787C2#2262470011yescharacteristic
1788C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3360C2
socleC22×C73C23×D4
hypercenter#3360D73
hypocenterC73#62027
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3360

Complements

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

NH ≅ G/Ntype
1. #22624526C2semidirect
2. #22623874C2semidirect
3. #22622997C2semidirect
4. #22622944C2semidirect
5. #22622684C2semidirect
6. #22622235C2semidirect
7. #22622198C2semidirect
8. #22622181C2semidirect
9. #22622054C2semidirect
10. #22621889C2semidirect
11. #22621780C2semidirect
12. #22621640C2semidirect
13. #22621552C2semidirect
14. #22621541C2semidirect
15. #22621537C2semidirect
16. #22621462C2semidirect
17. #22621432C2semidirect
18. #22621376C2semidirect
19. #22621341C2semidirect
20. #22621334C2semidirect
21. #22621043C2semidirect
22. #22620984C2semidirect
23. #22620908C2semidirect
24. #22620171C2semidirect
25. #22620141C2semidirect
26. #22619982C2semidirect
27. #22619471C2semidirect
28. #22619438C2semidirect
29. #22619393C2semidirect
30. #22619079C2semidirect
31. C73×#3360C2semidirect
33. C2×#14556618C22semidirect
37. C2×SD16×D73C22semidirect
40. #17989322C22semidirect
41. #17989322C22semidirect
45. #17989275C22semidirect
50. #17989249C22semidirect
53. #17989240C22semidirect
56. #17989232C22semidirect
57. #17989230C22semidirect
59. D4×D292C22semidirect
60. #17989211C22semidirect
61. #17989195C22semidirect
64. #17989188C22semidirect
70. #17989162C22semidirect
71. #17989155C22semidirect
72. #17989136C22semidirect
74. #17989124C22semidirect
75. #17989122C22semidirect
79. #17989059C22semidirect
80. C4×D4×D73C22semidirect
81. #17988979C22semidirect
83. #17988971C22semidirect
84. #17988971C22semidirect
85. #17988969C22semidirect
87. #17988953C22semidirect
88. #17988949C22semidirect
89. #17988944C22semidirect
90. #17988921C22semidirect
91. #17988921C22semidirect
92. #17988919C22semidirect
93. #17988914C22semidirect
94. #17988909C22semidirect
95. #17988907C22semidirect
96. #17988897C22semidirect
97. #17988891C22semidirect
98. #17988890C22semidirect
99. #17988886C22semidirect
100. #17988885C22semidirect
101. #17988884C22semidirect
102. #17988864C22semidirect
103. #17988844C22semidirect
105. #17988841C22semidirect
106. #17988836C22semidirect
107. #17988836C22semidirect
108. #17988834C22semidirect
109. #17988834C22semidirect
110. #17988832C22semidirect
112. #17988819C22semidirect
113. #17988817C22semidirect
114. #17988817C22semidirect
115. #17988812C22semidirect
116. #17988809C22semidirect
117. #17988806C22semidirect
118. #17988805C22semidirect
119. #17988805C22semidirect
121. #17988803C22semidirect
122. #17988803C22semidirect
123. #17988803C22semidirect
124. #17988803C22semidirect
126. #17988802C22semidirect
127. #17988802C22semidirect
128. #17988799C22semidirect
129. #17988796C22semidirect
130. #17988791C22semidirect
131. #17988791C22semidirect
132. #17988790C22semidirect
133. #17988789C22semidirect
134. #17988788C22semidirect
135. #17988788C22semidirect
136. #17988787C22semidirect
137. #17988786C22semidirect
139. #17988781C22semidirect
140. #17988781C22semidirect
142. #17988752C22semidirect
143. #17988752C22semidirect
145. #17988750C22semidirect
147. #17988744C22semidirect
148. #17988736C22semidirect
150. #17988735C22semidirect
151. #17988735C22semidirect
152. #17988735C22semidirect
154. #17988727C22semidirect
156. #17988722C22semidirect
157. #17988722C22semidirect
158. #17988722C22semidirect
160. #17988718C22semidirect
161. #17988697C22semidirect
162. #17988697C22semidirect
163. #17988692C22semidirect
164. #17988687C22semidirect
165. C4×Dic292C22semidirect
166. C4×#11924015C22semidirect
167. C4×D584C22semidirect
168. C4×D584C22semidirect
170. #17988666C22semidirect
171. #17988666C22semidirect
172. #17988664C22semidirect
173. #17988657C22semidirect
174. #17988657C22semidirect
175. C8×D292C22semidirect
176. #17988646C22semidirect
177. #17988646C22semidirect
178. #17988638C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
181. #17988609C22semidirect
182. #17988594C22semidirect
183. #17988587C22semidirect
184. #17988587C22semidirect
185. #17988585C22semidirect
186. #17988582C22semidirect
187. #102×D73C22semidirect
188. #556×C73C22semidirect
189. #554×C73C22semidirect
190. #488×C73C22semidirect
191. #488×C73C22semidirect
192. #487×C73C22semidirect
193. #479×C73C22semidirect
194. #479×C73C22semidirect
195. #476×C73C22semidirect
198. #461×C73C22semidirect
199. C8×Q8×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×SD16×C73C22semidirect
900. #3360D73semidirect
926. C73#62027semidirect
937. #556C2×D73semidirect
938. #554C2×D73semidirect
987. #488C2×D73semidirect
988. #488C2×D73semidirect
989. #487C2×D73semidirect
998. #479C2×D73semidirect
999. #479C2×D73semidirect
1004. #476C2×D73semidirect
1039. #461C2×D73semidirect
1067. C8×Q8C2×D73semidirect
1074. C4×SD16C2×D73semidirect
1075. C4×SD16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245262
#226238742
#226229972
#226229442
#226226842
#226222352
#226221982
#226221812
#226220542
#226218892
#226217802
#226216402
#226215522
#226215412
#226215372
#226214622
#226214322
#226213762
#226213412
#226213342
#226210432
#226209842
#226209082
#226201712
#226201412
#226199822
#226194712
#226194382
#226193932
#226190792
C73×#33602
#6202773