Finite Group Databasebeta

← #33968239

Subgroups — #33968239

Order 18688.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623538C211yesmaximal, characteristic, complemented
2#22623496C211yesmaximal, characteristic, complemented
3#22622928C211yesmaximal, characteristic, complemented
4#22622795C211yesmaximal, characteristic, complemented
5#22622594C211yesmaximal, characteristic, complemented
6#22622583C211yesmaximal, characteristic, complemented
7#22622553C211yesmaximal, characteristic, complemented
8#22622487C211yesmaximal, characteristic, complemented
9#22622245C211yesmaximal, characteristic, complemented
10#22622171C211yesmaximal, characteristic, complemented
11#22622150C211yesmaximal, characteristic, complemented
12#22622141C211yesmaximal, characteristic, complemented
13#22622130C211yesmaximal, characteristic, complemented
14#22622126C211yesmaximal, characteristic, complemented
15#22621543C211yesmaximal, characteristic, complemented
16#22621539C211yesmaximal, characteristic, complemented
17#22621528C211yesmaximal, characteristic, complemented
18#22620662C211yesmaximal, characteristic, complemented
19#22620653C211yesmaximal, characteristic, complemented
20#22620644C211yesmaximal, characteristic, complemented
21#22620088C211yesmaximal, characteristic, complemented
22#22620074C211yesmaximal, characteristic, complemented
23#22620072C211yesmaximal, characteristic, complemented
24#22620047C211yesmaximal, characteristic, complemented
25#22620035C211yesmaximal, characteristic, complemented
26#22620019C211yesmaximal, characteristic, complemented
27#22618947C211yesmaximal, characteristic, complemented
28C4×#14556618C211yesmaximal, characteristic, complemented
29#22618738C211yesmaximal, characteristic, complemented
30#22618738C211yesmaximal, characteristic, complemented
31C73×#3351C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556619C2211yescharacteristic
34C2×#14556618C2211yescharacteristic
35#17989320C2211yescharacteristic, complemented
36#17989309C2211yescharacteristic, complemented
37#17989300C2211yescharacteristic
38#17989293C2211yescharacteristic, complemented
39#17989293C2211yescharacteristic, complemented
40#17989292C2211yescharacteristic, complemented
41#17989288—21no—
42#17989282—21no—
43#17989281C2211yescharacteristic
44#17989272C2211yescharacteristic, complemented
45#17989269—21no—
46#17989266—21no—
47#17989262—21no—
48#17989261—21no—
49#17989260—21no—
50#17989239C2211yescharacteristic
51#17989234C2211yescharacteristic
52#17989233C2211yescharacteristic
53#17989233C2211yescharacteristic, complemented
54#17989228C2211yescharacteristic, complemented
55#17989226—21no—
56#17989221C2211yescharacteristic, complemented
57#17989139C2211yescharacteristic, complemented
58#17989132C2211yescharacteristic
59#17989123C2211yescharacteristic, complemented
60#17989122—21no—
61#17989122C2211yescharacteristic, complemented
62#17989122C2211yescharacteristic, complemented
63#17989120—21no—
64#17989120—21no—
65#17989118C2211yescharacteristic, complemented
66#17989097—21no—
67#17989095—21no—
68#17989095—21no—
69C4×#11924029C2211yescharacteristic, complemented
70#17989055C2211yescharacteristic
71#17989055C2211yescharacteristic, complemented
72C4×#11924027C2211yescharacteristic
73C2×#14556553C2211yescharacteristic, complemented
74C2×#14556553C2211yescharacteristic, complemented
75C4×D4×D73—21no—
76C4×D4×D73C2211yescharacteristic, complemented
77#117×D73—21no—
78#17988991C2211yescharacteristic, complemented
79#17988988C2211yescharacteristic, complemented
80#17988971C2211yescharacteristic, complemented
81#17988968C2211yescharacteristic, complemented
82#17988958C2211yescharacteristic, complemented
83#17988944C2211yescharacteristic, complemented
84#17988944C2211yescharacteristic, complemented
85#17988943C2211yescharacteristic, complemented
86#17988940C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988931C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988905C2211yescharacteristic, complemented
95#17988902C2211yescharacteristic, complemented
96#17988900C2211yescharacteristic, complemented
97#17988893C2211yescharacteristic, complemented
98#17988886C2211yescharacteristic, complemented
99#17988886C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988884C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988881C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic, complemented
105#17988876C2211yescharacteristic, complemented
106#17988876C2211yescharacteristic, complemented
107#17988846C2211yescharacteristic, complemented
108#17988843C2211yescharacteristic, complemented
109#17988841C2211yescharacteristic
110#17988838C2211yescharacteristic
111#17988835C2211yescharacteristic, complemented
112#17988834C2211yescharacteristic, complemented
113#17988834C2211yescharacteristic, complemented
114#17988833C2211yescharacteristic, complemented
115#17988833C2211yescharacteristic, complemented
116#17988831C2211yescharacteristic, complemented
117#17988809C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic
120#17988805C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic
122#17988803C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988796C2211yescharacteristic, complemented
126#17988791C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic
128#17988781C2211yescharacteristic
129#17988752C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic
131#17988751C2211yescharacteristic, complemented
132#17988747C2211yescharacteristic
133#17988739C2211yescharacteristic, complemented
134#17988737C2211yescharacteristic, complemented
135#17988735C2211yescharacteristic
136#17988730C2211yescharacteristic
137#17988723C2211yescharacteristic
138#17988723C2211yescharacteristic, complemented
139#17988722C2211yescharacteristic
140#17988720C2211yescharacteristic, complemented
141C8×Dic146C2211yescharacteristic, complemented
142#17988711C2211yescharacteristic, complemented
143#17988698C2211yescharacteristic
144#17988698C2211yescharacteristic
145#17988698C2211yescharacteristic, complemented
146#17988698C2211yescharacteristic, complemented
147#17988696C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic, complemented
149#17988693C2211yescharacteristic, complemented
150#17988691C2211yescharacteristic, complemented
151#17988690C2211yescharacteristic, complemented
152#17988690C2211yescharacteristic, complemented
153#17988688C2211yescharacteristic, complemented
154#17988686C2211yescharacteristic, complemented
155#17988686C2211yescharacteristic, complemented
156#17988686C2211yescharacteristic, complemented
157#17988686C2211yescharacteristic, complemented
158#17988684C2211yescharacteristic, complemented
159C4×#11924015C2211yescharacteristic, complemented
160#17988674C2211yescharacteristic, complemented
161#17988674C2211yescharacteristic, complemented
162#17988674C2211yescharacteristic, complemented
163#17988674C2211yescharacteristic, complemented
164C4×D584C2211yescharacteristic
165#17988669C2211yescharacteristic
166#17988669C2211yescharacteristic
167#17988669C2211yescharacteristic
168#17988669C2211yescharacteristic, complemented
169C4×#11924013C2211yescharacteristic, complemented
170#17988665C2211yescharacteristic, complemented
171#17988663C2211yescharacteristic, complemented
172#17988663C2211yescharacteristic, complemented
173#17988662C2211yescharacteristic, complemented
174#17988662C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988626C2211yescharacteristic, complemented
179#17988591C2211yescharacteristic, complemented
180#17988591C2211yescharacteristic, complemented
181#17988590C2211yescharacteristic, complemented
182#17988587C2211yescharacteristic, complemented
183#17988586C2211yescharacteristic
184#17988586C2211yescharacteristic, complemented
185M16×Dic73C2211yescharacteristic, complemented
186M16×Dic73C2211yescharacteristic, complemented
187C4×#11924011C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189#552×C73C2211yescharacteristic, complemented
190#499×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#481×C73C2211yescharacteristic, complemented
195#479×C73C2211yescharacteristic, complemented
196#478×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic, complemented
198#468×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202#428×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027D411yescharacteristic
208C22×D292C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213C22×C4×D73—21no—
214C22×C4×D73—21no—
215#14556619—24no—
216#14556619—24no—
217#14556618—24no—
218C2×Dic292C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924012C2311yescharacteristic
234C2×#11924012C2311yescharacteristic
235C2×#11924011C2311yescharacteristic
236C2×#11924011C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556589C2311yescharacteristic
240#14556587C2311yescharacteristic
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556586—21no—
246#14556585—21no—
247#14556585—21no—
248#14556584—21no—
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556580C2311yescharacteristic
255#14556579—21no—
256#14556579C2311yescharacteristic
257#14556579C2311yescharacteristic
258#14556578C2311yescharacteristic
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556575—21no—
269#14556574—21no—
270#14556574—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556572—21no—
276#14556571—21no—
277#14556571—21no—
278#14556571C2311yescharacteristic
279#14556571C2311yescharacteristic
280#14556570—21no—
281#14556570C2311yescharacteristic
282#14556570C2311yescharacteristic
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556568—21no—
290#14556566—21no—
291#14556566C2311yescharacteristic
292#14556566C2311yescharacteristic
293#14556565C2311yescharacteristic
294#14556565C2311yescharacteristic
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556563—21no—
302#14556562—21no—
303#14556561—21no—
304#14556561—21no—
305#14556559—21no—
306#14556559—21no—
307#14556559—21no—
308#14556559—21no—
309Q8×Dic73C2311yescharacteristic
310C4×Dic146C2311yescharacteristic
311#14556556—21no—
312#14556556D411yescharacteristic
313#14556556C2311yescharacteristic
314#14556556C2311yescharacteristic
315#14556556C2311yescharacteristic
316#14556556C2311yescharacteristic
317C4×D292—21no—
318C4×D292—21no—
319C4×D292C2311yescharacteristic
320C4×D292C2311yescharacteristic
321D4×Dic73—21no—
322D4×Dic73D411yescharacteristic
323D4×Dic73C2311yescharacteristic
324#14556553—21no—
325#14556553—21no—
326#14556553—21no—
327#14556553—21no—
328#14556553—21no—
329#14556553—21no—
330#14556553—21no—
331#14556553C2311yescharacteristic
332#14556553C2311yescharacteristic
333#14556553C2311yescharacteristic
334#14556553C2311yescharacteristic
335#14556553C2311yescharacteristic
336#14556553C2311yescharacteristic
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73C2311yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551D411yescharacteristic
354#14556551D411yescharacteristic
355#14556550—21no—
356#14556549—21no—
357#14556549—21no—
358#14556549—21no—
359#14556549—21no—
360#14556549D411yescharacteristic
361#14556549C2311yescharacteristic
362#14556548—21no—
363#14556548—21no—
364#14556548—21no—
365#14556548—21no—
366#14556547—21no—
367#14556547—21no—
368#14556547D411yescharacteristic
369#14556547D411yescharacteristic
370C4⋊C4×D73—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73C2311yescharacteristic
374C2×#11924005—21no—
375C2×#11924005—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C2×C4×Dic73C2311yescharacteristic
382C2×C4×Dic73C2311yescharacteristic
383C42×D73—21no—
384C42×D73—21no—
385C42×D73—21no—
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556511C2311yescharacteristic
414#14556511C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C2×M16×C73C2311yescharacteristic
441#126×C73—21no—
442#126×C73—21no—
443#125×C73—21no—
444#125×C73C2311yescharacteristic
445#125×C73C2311yescharacteristic
446#123×C73—21no—
447#123×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450#121×C73—21no—
451#121×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457#117×C73—21no—
458#117×C73C2311yescharacteristic
459#117×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924029—22no—
485#11924029—41no—
486#11924028—22no—
487#11924028—22no—
488#11924028—41no—
489#11924028—41no—
490#11924027—42no—
491#11924027—82no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×D292—22no—
498C2×D292—22no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—41no—
505C2×D292—41no—
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73C2×D411yescharacteristic
518C2×C22⋊D73C2×D411yescharacteristic
519D4×D73—22no—
520D4×D73—41no—
521D4×D73—44no—
522C22×Dic73—21no—
523C22×Dic73C2×D411yescharacteristic
524C22×Dic73C2×D411yescharacteristic
525C22×Dic73C2×D411yescharacteristic
526C22×Dic73C2×D411yescharacteristic
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—44no—
544C2×C4×D73—82no—
545C2×C4×D73—82no—
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549Dic292—41no—
550#11924018—41no—
551#11924017—22no—
552#11924017—22no—
553#11924017—22no—
554#11924017—22no—
555#11924016—41no—
556#11924015—22no—
557#11924015—41no—
558D584—22no—
559D584—22no—
560D584—41no—
561D584#4114yescomplemented
562#11924013—22no—
563#11924013—41no—
564#11924012—41no—
565#11924012—41no—
566#11924011—22no—
567#11924011—41no—
568C2×#10596831C2411yescharacteristic
569C2×#10596831C2411yescharacteristic
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73C2×D411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73C2×D411yescharacteristic
603C22⋊Dic73C2×D411yescharacteristic
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
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#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C2×Q8×C73C2411yescharacteristic
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73C2×D411yescharacteristic
650C2×D4×C73C2411yescharacteristic
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73C2411yescharacteristic
655C22×C4×C73C2411yescharacteristic
656SD16×C73—22no—
657M16×C73—22no—
658M16×C73—22no—
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2×D411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73C2×D411yescharacteristic
687C22⋊C4×C73C2×D411yescharacteristic
688C42×C73—21no—
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73C22×D411yescharacteristic
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—41no—
714D4×C73—42no—
715D4×C73—81no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—42no—
728C2×C4×C73—81no—
729C2×C4×C73—81no—
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C2511yescharacteristic
735C22⋊D73—22no—
736C22⋊D73—41no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—81no—
742C22⋊D73—81no—
743C22⋊D73—81no—
744C2×Dic73—22no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—41no—
750C2×Dic73—41no—
751C2×Dic73—41no—
752C2×Dic73—42no—
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760D292—21no—
761D292—21no—
762D292—21no—
763D292—21no—
764D292—21no—
765D292—21no—
766D292—42no—
767D292—42no—
768D292—42no—
769D292—42no—
770D292—81no—
771D292C2×#4112yes—
772D292C2×#4112yes—
773C4×D73—21no—
774C4×D73—21no—
775C4×D73—41no—
776C4×D73—41no—
777C4×D73—42no—
778C4×D73—42no—
779C4×D73—42no—
780C4×D73—42no—
781C4×D73—42no—
782C4×D73—42no—
783C4×D73—42no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—81no—
788C4×D73—81no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793Dic146—22no—
794Dic146—21no—
795Dic146—21no—
796Dic146—21no—
797Dic146—21no—
798Dic146—81no—
799Dic146—81no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—21no—
811C22×C73—21no—
812C22×C73—21no—
813C22×C73—21no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73C23×D411yescharacteristic
818C2×D73—21no—
819C2×D73—21no—
820C2×D73—22no—
821C2×D73—22no—
822C2×D73—21no—
823C2×D73—41no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—84no—
834C2×D73—84no—
835C2×D73—84no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73C22×#4111yescharacteristic
848C4×C73#58511yescharacteristic
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—21no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73#57512yes—
860#61464—731nomaximal, Sylow
861C2×C73—41no—
862C2×C73—41no—
863C2×C73—81no—
864C2×C73D4×#4111yescharacteristic
865C2×C73C2×#57511yescharacteristic
866C2×C73#358511yescharacteristic
867D73—41no—
868D73—42no—
869D73—42no—
870D73—81no—
871D73—81no—
872#3481—731no—
873#3475—731no—
874#3394—731no—
875#3380—731no—
876#3361—731no—
877#3360—731no—
878#3357—731no—
879#3351—731no—
880#3351D7311yescharacteristic, complemented
881#3331—731no—
882#3325—731no—
883#3323—731no—
884#3323—731no—
885#3322—731no—
886#3322—731no—
887#3273—731no—
888#3273—731no—
889#3272—731no—
890#3183—731no—
891#3183—731no—
892#3182—731no—
893#3116—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3109—731no—
899#2971—731no—
900C4×AGL(1,ℤ/8)—731no—
901C4×AGL(1,ℤ/8)—731no—
902C4×AGL(1,ℤ/8)—731no—
903C73#6146411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)—731no—
905C2×AGL(1,ℤ/8)—731no—
906C2×AGL(1,ℤ/8)—731no—
907#559—731no—
908#556—731no—
909#555—731no—
910#554—731no—
911#554—731no—
912#554—731no—
913#553—731no—
914#553—1461no—
915#553—1461no—
916#553C2×D7311yescharacteristic
917#552—731no—
918#552—1461no—
919#552C2×D7311yescharacteristic, complemented
920#551—1461no—
921#551—1461no—
922#551—1461no—
923#551—1461no—
924#547—731no—
925#546—731no—
926#546—731no—
927#546—731no—
928#546—731no—
929#546—1461no—
930D42—731no—
931#533—731no—
932#532—731no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942#525—1461no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—731no—
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951C2×#117—1461no—
952#500—731no—
953#499—731no—
954#499C2×D7311yescharacteristic, complemented
955#495—731no—
956#495—731no—
957#492—731no—
958#488—731no—
959#488—731no—
960#488—731no—
961#488—731no—
962#487—731no—
963#486—731no—
964#485—731no—
965#485—731no—
966#485—731no—
967#485C2×D7311yescharacteristic, complemented
968#483—731no—
969#483C2×D7311yescharacteristic, complemented
970#482—731no—
971#482C2×D7311yescharacteristic, complemented
972#481—731no—
973#481C2×D7311yescharacteristic, complemented
974#480—731no—
975#480—731no—
976#479—731no—
977#479C2×D7311yescharacteristic, complemented
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#478C2×D7311yescharacteristic, complemented
984#477—731no—
985#476—731no—
986#476—731no—
987#476—731no—
988#470—731no—
989#470—731no—
990#469—731no—
991#469—731no—
992#468—731no—
993#468—731no—
994#468—731no—
995#468—731no—
996#468—731no—
997#468—731no—
998#468C2×D7311yescharacteristic, complemented
999#468C2×D7311yescharacteristic, complemented
1000#464—731no—
1001#464—731no—
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#463—731no—
1008#462—731no—
1009#461—731no—
1010#459—731no—
1011#459—731no—
1012#452—731no—
1013#452—731no—
1014#452—731no—
1015#452—731no—
1016#450—731no—
1017#450—731no—
1018#449—731no—
1019#449—731no—
1020#447—731no—
1021#447—731no—
1022#447—731no—
1023#447—731no—
1024C8×Q8—731no—
1025C8×Q8—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#441—731no—
1033#441—731no—
1034#440—731no—
1035#440—731no—
1036#440—731no—
1037#440—731no—
1038#440—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042C4×SD16—731no—
1043C4×SD16—731no—
1044C4×SD16—731no—
1045C4×SD16—731no—
1046C4×SD16—731no—
1047C4×SD16C2×D7311yescharacteristic, complemented
1048C4×D8—731no—
1049C4×D8—731no—
1050C4×D8—731no—
1051C4×D8—731no—
1052C4×D8—731no—
1053C4×D8—731no—
1054#436—731no—
1055#436—731no—
1056#436—731no—
1057#436—731no—
1058#436—731no—
1059#436C2×D7311yescharacteristic, complemented
1060#432—731no—
1061#432—731no—
1062#432—731no—
1063#428—731no—
1064#428C2×D7311yescharacteristic, complemented
1065#428C2×D7311yescharacteristic, complemented
1066#418—731no—
1067#418—731no—
1068#418—731no—
1069#417—731no—
1070#417—731no—
1071#417—731no—
1072C4×M16—731no—
1073C4×M16—731no—
1074C4×M16—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—731no—
1079C2×#41—1461no—
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—1464no—
1088AGL(1,ℤ/8)—1464no—
1089AGL(1,ℤ/8)—1464no—
1090C2×Q16—731no—
1091C2×Q16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×SD16C22×D7311yescharacteristic
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8—731no—
1105C2×D8—731no—
1106C2×M16—731no—
1107C2×M16—731no—
1108C2×M16—731no—
1109C2×M16—731no—
1110C2×M16C22×D7311yescharacteristic
1111C2×M16C22×D7311yescharacteristic
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8—731no—
1115#127—731no—
1116#126—21no—
1117#126—21no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#125—21no—
1127#125—731no—
1128#125—731no—
1129#125—1461no—
1130#125—1461no—
1131#125—1461no—
1132#125C22×D7311yescharacteristic
1133#125C22×D7311yescharacteristic
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#123—21no—
1143#123—21no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8C22×D7311yescharacteristic
1173C22⋊Q8C22×D7311yescharacteristic
1174#121—21no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121C22×D7311yescharacteristic
1189#121C22×D7311yescharacteristic
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—1461no—
1204C4×Q8C22×D7311yescharacteristic
1205C4×D4—21no—
1206C4×D4—731no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4C22×D7311yescharacteristic
1245C4×D4C22×D7311yescharacteristic
1246#117—21no—
1247#117—731no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—1461no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117C22×D7311yescharacteristic
1263#117C22×D7311yescharacteristic
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—1461no—
1266C2×C4⋊C4—1461no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4C22×D7311yescharacteristic
1269C2×C4⋊C4C22×D7311yescharacteristic
1270C2×C22⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C42—731no—
1278C2×C42—731no—
1279C2×C42—731no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42—1461no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107C22×D7311yescharacteristic
1288#107C22×D7311yescharacteristic
1289#107C22×D7311yescharacteristic
1290#107C22×D7311yescharacteristic
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106C22×D7311yescharacteristic
1295#106C22×D7311yescharacteristic
1296#106C22×D7311yescharacteristic
1297#106C22×D7311yescharacteristic
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304C4⋊C8C22×D7311yescharacteristic
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103—731no—
1314#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#103C22×D7311yescharacteristic
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336#102C22×D7311yescharacteristic
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8C22×D7311yescharacteristic
1342C22⋊C8C22×D7311yescharacteristic
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347C4×C8—731no—
1348C4×C8—731no—
1349C4×C8—731no—
1350C4×C8—731no—
1351C4×C8—731no—
1352C4×C8C22×D7311yescharacteristic
1353C24—1461no—
1354C24—1461no—
1355C24—1461no—
1356#41—2921no—
1357#41—2921no—
1358#41—2922no—
1359#41—2921no—
1360#41—5842no—
1361#41—1462no—
1362#41—1462no—
1363#41—1462no—
1364C2×Q8—731no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—1461no—
1368C2×Q8—1461no—
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—2921no—
1373C2×D4—2921no—
1374C2×D4—2924no—
1375C2×D4—2921no—
1376C2×D4—731no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—1461no—
1383C2×D4—1461no—
1384C2×D4—1462no—
1385C2×D4—1462no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1462no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4D4×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—2924no—
1403C22×C4—5842no—
1404C22×C4—5842no—
1405C22×C4—731no—
1406C22×C4—731no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—1461no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4C23×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431Q16—2921no—
1432Q16—2921no—
1433SD16—22no—
1434SD16—2921no—
1435SD16—2921no—
1436SD16—1462no—
1437SD16—1462no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—2921no—
1442D8—2921no—
1443D8—734no—
1444D8—1462no—
1445D8—1462no—
1446D8—1462no—
1447M16—22no—
1448M16—22no—
1449M16—2921no—
1450M16—2921no—
1451M16—2921no—
1452M16—1462no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—731no—
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4D4×D7311yescharacteristic
1496C4⋊C4C23×D7311yescharacteristic
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C4⋊C4C23×D7311yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4D4×D7311yescharacteristic
1544C22⋊C4D4×D7311yescharacteristic
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—731no—
1555C42—731no—
1556C42—731no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42—1461no—
1561C42—1461no—
1562C42—1461no—
1563C42C23×D7311yescharacteristic
1564C23—21no—
1565C23—2922no—
1566C23—2922no—
1567C23—2922no—
1568C23—2922no—
1569C23—2922no—
1570C23—2922no—
1571C23—5841no—
1572C23—5841no—
1573C23—5841no—
1574C23—731no—
1575C23—1461no—
1576C23—1461no—
1577C23—1461no—
1578C23—1461no—
1579C23C2×D4×D7311yescharacteristic
1580C23C2×D4×D7311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—5841no—
1584Q8—5841no—
1585Q8—1462no—
1586Q8—1461no—
1587Q8—1461no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—21no—
1591D4—21no—
1592D4—41no—
1593D4—42no—
1594D4—81no—
1595D4—2922no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—2922no—
1600D4—2922no—
1601D4—2922no—
1602D4—2921no—
1603D4—2922no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—5841no—
1608D4—732no—
1609D4—732no—
1610D4—1462no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4—1461no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—42no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—2922no—
1632C2×C4—2922no—
1633C2×C4—2921no—
1634C2×C4—2921no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—2922no—
1643C2×C4—2922no—
1644C2×C4—2921no—
1645C2×C4—2921no—
1646C2×C4—2921no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—5841no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—731no—
1657C2×C4—731no—
1658C2×C4—731no—
1659C2×C4—731no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1462no—
1665C2×C4—1461no—
1666C2×C4—1461no—
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C2×D4×D7311yescharacteristic
1671C2×C4C24×D7311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C8#41×D7312yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—2921no—
1698C22—2921no—
1699C22—5844no—
1700C22—5844no—
1701C22—5844no—
1702C22—1461no—
1703C22—1462no—
1704C22—1462no—
1705C22—1461no—
1706C22—1461no—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—732no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C2×#41×D7311yescharacteristic
1731C4#1798942411yescharacteristic
1732C2—41no—
1733C2—41no—
1734C2—81no—
1735C2—2922no—
1736C2—2922no—
1737C2—2921no—
1738C2—5841no—
1739C2—5841no—
1740C2#2262341811yescharacteristic
1741C2#575×D7311yescharacteristic
1742C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3351C2
socleC22×C73C23×D4
hypercenter#3351D73
hypocenterC73#61464
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
1. #22623538C2semidirect
2. #22623496C2semidirect
3. #22622928C2semidirect
4. #22622795C2semidirect
5. #22622594C2semidirect
6. #22622583C2semidirect
7. #22622553C2semidirect
8. #22622487C2semidirect
9. #22622245C2semidirect
10. #22622171C2semidirect
11. #22622150C2semidirect
12. #22622141C2semidirect
13. #22622130C2semidirect
14. #22622126C2semidirect
15. #22621543C2semidirect
16. #22621539C2semidirect
17. #22621528C2semidirect
18. #22620662C2semidirect
19. #22620653C2semidirect
20. #22620644C2semidirect
21. #22620088C2semidirect
22. #22620074C2semidirect
23. #22620072C2semidirect
24. #22620047C2semidirect
25. #22620035C2semidirect
26. #22620019C2semidirect
27. #22618947C2semidirect
28. C4×#14556618C2semidirect
29. #22618738C2semidirect
30. #22618738C2semidirect
31. C73×#3351C2semidirect
35. #17989320C22semidirect
36. #17989309C22semidirect
38. #17989293C22semidirect
39. #17989293C22semidirect
40. #17989292C22semidirect
44. #17989272C22semidirect
53. #17989233C22semidirect
54. #17989228C22semidirect
56. #17989221C22semidirect
57. #17989139C22semidirect
59. #17989123C22semidirect
61. #17989122C22semidirect
62. #17989122C22semidirect
65. #17989118C22semidirect
69. C4×#11924029C22semidirect
71. #17989055C22semidirect
73. C2×#14556553C22semidirect
74. C2×#14556553C22semidirect
76. C4×D4×D73C22semidirect
78. #17988991C22semidirect
79. #17988988C22semidirect
80. #17988971C22semidirect
81. #17988968C22semidirect
82. #17988958C22semidirect
83. #17988944C22semidirect
84. #17988944C22semidirect
85. #17988943C22semidirect
86. #17988940C22semidirect
87. #17988936C22semidirect
88. #17988932C22semidirect
89. #17988931C22semidirect
90. #17988928C22semidirect
91. #17988928C22semidirect
92. #17988919C22semidirect
93. #17988914C22semidirect
94. #17988905C22semidirect
95. #17988902C22semidirect
96. #17988900C22semidirect
97. #17988893C22semidirect
98. #17988886C22semidirect
99. #17988886C22semidirect
100. #17988886C22semidirect
101. #17988884C22semidirect
102. #17988884C22semidirect
103. #17988881C22semidirect
104. #17988876C22semidirect
105. #17988876C22semidirect
106. #17988876C22semidirect
107. #17988846C22semidirect
108. #17988843C22semidirect
111. #17988835C22semidirect
112. #17988834C22semidirect
113. #17988834C22semidirect
114. #17988833C22semidirect
115. #17988833C22semidirect
116. #17988831C22semidirect
117. #17988809C22semidirect
118. #17988808C22semidirect
120. #17988805C22semidirect
122. #17988803C22semidirect
123. #17988802C22semidirect
124. #17988801C22semidirect
125. #17988796C22semidirect
126. #17988791C22semidirect
129. #17988752C22semidirect
131. #17988751C22semidirect
133. #17988739C22semidirect
134. #17988737C22semidirect
138. #17988723C22semidirect
140. #17988720C22semidirect
141. C8×Dic146C22semidirect
142. #17988711C22semidirect
145. #17988698C22semidirect
146. #17988698C22semidirect
147. #17988696C22semidirect
148. #17988696C22semidirect
149. #17988693C22semidirect
150. #17988691C22semidirect
151. #17988690C22semidirect
152. #17988690C22semidirect
153. #17988688C22semidirect
154. #17988686C22semidirect
155. #17988686C22semidirect
156. #17988686C22semidirect
157. #17988686C22semidirect
158. #17988684C22semidirect
159. C4×#11924015C22semidirect
160. #17988674C22semidirect
161. #17988674C22semidirect
162. #17988674C22semidirect
163. #17988674C22semidirect
168. #17988669C22semidirect
169. C4×#11924013C22semidirect
170. #17988665C22semidirect
171. #17988663C22semidirect
172. #17988663C22semidirect
173. #17988662C22semidirect
174. #17988662C22semidirect
175. #17988643C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #17988626C22semidirect
179. #17988591C22semidirect
180. #17988591C22semidirect
181. #17988590C22semidirect
182. #17988587C22semidirect
184. #17988586C22semidirect
185. M16×Dic73C22semidirect
186. M16×Dic73C22semidirect
187. C4×#11924011C22semidirect
189. #552×C73C22semidirect
190. #499×C73C22semidirect
191. #485×C73C22semidirect
192. #483×C73C22semidirect
193. #482×C73C22semidirect
194. #481×C73C22semidirect
195. #479×C73C22semidirect
196. #478×C73C22semidirect
197. #468×C73C22semidirect
198. #468×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. #436×C73C22semidirect
201. #428×C73C22semidirect
202. #428×C73C22semidirect
561. D584#41semidirect
880. #3351D73semidirect
903. C73#61464semidirect
919. #552C2×D73semidirect
954. #499C2×D73semidirect
967. #485C2×D73semidirect
969. #483C2×D73semidirect
971. #482C2×D73semidirect
973. #481C2×D73semidirect
977. #479C2×D73semidirect
983. #478C2×D73semidirect
998. #468C2×D73semidirect
999. #468C2×D73semidirect
1047. C4×SD16C2×D73semidirect
1059. #436C2×D73semidirect
1064. #428C2×D73semidirect
1065. #428C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235382
#226234962
#226229282
#226227952
#226225942
#226225832
#226225532
#226224872
#226222452
#226221712
#226221502
#226221412
#226221302
#226221262
#226215432
#226215392
#226215282
#226206622
#226206532
#226206442
#226200882
#226200742
#226200722
#226200472
#226200352
#226200192
#226189472
C4×#145566182
#226187382
C73×#33512
#6146473