Finite Group Databasebeta

← #33962762

Subgroups — #33962762

Order 18688.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623497C211yesmaximal, characteristic, complemented
2#22623420C211yesmaximal, characteristic, complemented
3#22622114C211yesmaximal, characteristic, complemented
4#22622098C211yesmaximal, characteristic, complemented
5#22622086C211yesmaximal, characteristic, complemented
6#22622070C211yesmaximal, characteristic, complemented
7#22622050C211yesmaximal, characteristic, complemented
8#22622022C211yesmaximal, characteristic, complemented
9#22622006C211yesmaximal, characteristic, complemented
10#22622002C211yesmaximal, characteristic, complemented
11#22621986C211yesmaximal, characteristic, complemented
12#22621974C211yesmaximal, characteristic, complemented
13#22621958C211yesmaximal, characteristic, complemented
14#22621938C211yesmaximal, characteristic, complemented
15#22621922C211yesmaximal, characteristic, complemented
16#22621910C211yesmaximal, characteristic, complemented
17#22621894C211yesmaximal, characteristic, complemented
18#22620273C211yesmaximal, characteristic, complemented
19#22619845C211yesmaximal, characteristic, complemented
20#22619841C211yesmaximal, characteristic, complemented
21#22619714C211yesmaximal, characteristic, complemented
22#22619542C211yesmaximal, characteristic, complemented
23#22619507C211yesmaximal, characteristic, complemented
24#22619385C211yesmaximal, characteristic, complemented
25#22619154C211yesmaximal, characteristic, complemented
26#22619152C211yesmaximal, characteristic, complemented
27#22618730C211yesmaximal, characteristic, complemented
28#435×D73C211yesmaximal, characteristic, complemented
29#22618447C211yesmaximal, characteristic, complemented
30C2×#17988582C211yesmaximal, characteristic, complemented
31C73×#3316C211yesmaximal, characteristic, complemented
32C22×#11924029C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C2×#14556614C2211yescharacteristic
35C2×#14556614C2211yescharacteristic, complemented
36C2×#14556612C2211yescharacteristic, complemented
37C2×M16×D73C2211yescharacteristic, complemented
38C22×C8×D73C2211yescharacteristic, complemented
39#17989310C2211yescharacteristic, complemented
40#17989303C2211yescharacteristic, complemented
41#17989285C2211yescharacteristic
42#17989285C2211yescharacteristic, complemented
43#17989279C2211yescharacteristic
44#17989279C2211yescharacteristic, complemented
45#17989275—21no—
46#17989264—21no—
47#17989264—21no—
48#17989256C2211yescharacteristic
49Q8×C22⋊D73C2211yescharacteristic
50#17989249C2211yescharacteristic
51#17989241C2211yescharacteristic, complemented
52#17989239—21no—
53#17989239C2211yescharacteristic
54#17989233—21no—
55#17989233C2211yescharacteristic
56#17989232—21no—
57#17989230—21no—
58#17989230C2211yescharacteristic
59#17989221—21no—
60#17989221C2211yescharacteristic
61#17989142C2211yescharacteristic, complemented
62#17989136—21no—
63#17989136C2211yescharacteristic
64#17989123—21no—
65#17989123—21no—
66#17989122—21no—
67#17989100—21no—
68#17989100C2211yescharacteristic
69#17989100C2211yescharacteristic, complemented
70#17989100C2211yescharacteristic, complemented
71#17989097—21no—
72#17989097C2211yescharacteristic
73C4×#11924029C2211yescharacteristic
74C4×#11924029C2211yescharacteristic, complemented
75C4×#11924027—21no—
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78C2×#14556549C2211yescharacteristic, complemented
79C2×#14556549C2211yescharacteristic, complemented
80#17988954C2211yescharacteristic, complemented
81#17988954C2211yescharacteristic, complemented
82#17988950C2211yescharacteristic, complemented
83#17988950C2211yescharacteristic, complemented
84#17988949C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988946C2211yescharacteristic, complemented
87#17988931C2211yescharacteristic, complemented
88#17988931C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic, complemented
90#17988926C2211yescharacteristic, complemented
91#17988922C2211yescharacteristic, complemented
92#17988920C2211yescharacteristic, complemented
93#17988918C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988910C2211yescharacteristic, complemented
98#17988906C2211yescharacteristic, complemented
99#17988900C2211yescharacteristic, complemented
100#17988898C2211yescharacteristic, complemented
101#17988892C2211yescharacteristic, complemented
102#17988892C2211yescharacteristic, complemented
103#17988886C2211yescharacteristic, complemented
104#17988886C2211yescharacteristic, complemented
105#17988882C2211yescharacteristic, complemented
106#17988878C2211yescharacteristic, complemented
107#17988864C2211yescharacteristic, complemented
108#17988842C2211yescharacteristic, complemented
109#17988841C2211yescharacteristic, complemented
110#17988840C2211yescharacteristic, complemented
111#17988836C2211yescharacteristic, complemented
112#17988836C2211yescharacteristic, complemented
113#17988835C2211yescharacteristic, complemented
114#17988835C2211yescharacteristic, complemented
115#17988827C2211yescharacteristic, complemented
116#17988826C2211yescharacteristic, complemented
117#17988822C2211yescharacteristic, complemented
118#17988821C2211yescharacteristic, complemented
119#17988817C2211yescharacteristic, complemented
120#17988816C2211yescharacteristic, complemented
121#17988813C2211yescharacteristic, complemented
122#17988809C2211yescharacteristic, complemented
123#17988803C2211yescharacteristic, complemented
124#17988799C2211yescharacteristic, complemented
125#17988795C2211yescharacteristic, complemented
126#17988791C2211yescharacteristic, complemented
127#17988785C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic, complemented
129#17988748C2211yescharacteristic, complemented
130#17988748C2211yescharacteristic, complemented
131#17988747C2211yescharacteristic, complemented
132#17988741C2211yescharacteristic, complemented
133#17988737C2211yescharacteristic, complemented
134#17988736C2211yescharacteristic, complemented
135#17988735C2211yescharacteristic, complemented
136#17988735C2211yescharacteristic, complemented
137#17988734C2211yescharacteristic, complemented
138#17988732C2211yescharacteristic, complemented
139#17988727C2211yescharacteristic, complemented
140#17988726C2211yescharacteristic, complemented
141#17988723C2211yescharacteristic, complemented
142#17988722C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic, complemented
144#17988698C2211yescharacteristic, complemented
145#17988694C2211yescharacteristic, complemented
146#17988690C2211yescharacteristic, complemented
147#17988690C2211yescharacteristic, complemented
148#17988685C2211yescharacteristic, complemented
149#17988685C2211yescharacteristic, complemented
150#17988661C2211yescharacteristic, complemented
151#17988660C2211yescharacteristic, complemented
152#17988659C2211yescharacteristic, complemented
153#17988658C2211yescharacteristic
154#17988657C2211yescharacteristic, complemented
155#17988656C2211yescharacteristic, complemented
156#17988655C2211yescharacteristic
157#17988622C2211yescharacteristic, complemented
158#17988622C2211yescharacteristic, complemented
159#17988622C2211yescharacteristic, complemented
160C4⋊C8×D73C2211yescharacteristic, complemented
161#17988594C2211yescharacteristic, complemented
162#17988594C2211yescharacteristic, complemented
163#17988590C2211yescharacteristic, complemented
164#17988590C2211yescharacteristic, complemented
165#17988589C2211yescharacteristic, complemented
166#17988588C2211yescharacteristic, complemented
167#17988586C2211yescharacteristic, complemented
168#17988582C2211yescharacteristic
169#17988582C2211yescharacteristic
170#17988582C2211yescharacteristic
171#17988582C2211yescharacteristic, complemented
172#17988582C2211yescharacteristic, complemented
173#17988582C2211yescharacteristic, complemented
174#17988582C2211yescharacteristic, complemented
175#17988582C2211yescharacteristic, complemented
176#17988582C2211yescharacteristic, complemented
177#17988582C2211yescharacteristic, complemented
178#17988582C2211yescharacteristic, complemented
179#17988580C2211yescharacteristic, complemented
180#17988580C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic, complemented
182C2×#14556515C2211yescharacteristic, complemented
183C2×#14556513C2211yescharacteristic, complemented
184C2×#14556511C2211yescharacteristic, complemented
185C22⋊C8×D73C2211yescharacteristic, complemented
186C22⋊C8×D73C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#554×C73C2211yescharacteristic, complemented
189#548×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#475×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202C2×#103×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029—21no—
205C2×#11924029—24no—
206C2×#11924029—42no—
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924029C2311yescharacteristic
210C2×#11924029C2311yescharacteristic
211C2×#11924029C2311yescharacteristic
212C2×#11924028—21no—
213C2×#11924028C2311yescharacteristic
214C2×#11924027—21no—
215C2×#11924027—21no—
216C2×#11924027C2311yescharacteristic
217#41×D73—24no—
218#41×D73—42no—
219C2×Q8×D73C2311yescharacteristic
220C22×D292—21no—
221C22×D292C2311yescharacteristic
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73D411yescharacteristic
225C2×D4×D73C2311yescharacteristic
226C22×C4×D73—21no—
227C22×C4×D73—21no—
228C22×C4×D73C2311yescharacteristic
229C22×C4×D73C2311yescharacteristic
230#14556614—24no—
231#14556614—42no—
232#14556612—42no—
233C2×#11924018C2311yescharacteristic
234C2×#11924017C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238C2×#11924015C2311yescharacteristic
239C2×D584C2311yescharacteristic
240C2×D584C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924012C2311yescharacteristic
243C2×#11924011C2311yescharacteristic
244C2×#11924011C2311yescharacteristic
245M16×D73—42no—
246C22×#10596831C2311yescharacteristic
247C2×C8×D73—42no—
248C2×C8×D73C2311yescharacteristic
249C2×C8×D73C2311yescharacteristic
250C2×C8×D73C2311yescharacteristic
251C2×C8×D73C2311yescharacteristic
252C2×C8×D73C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic
254#14556591C2311yescharacteristic
255#14556589—21no—
256#14556589C2311yescharacteristic
257#14556587—21no—
258#14556587C2311yescharacteristic
259#14556586—21no—
260#14556586—21no—
261#14556586—21no—
262#14556586—21no—
263#14556586—21no—
264#14556586—21no—
265#14556582—21no—
266#14556582—21no—
267#14556582C2311yescharacteristic
268#14556582C2311yescharacteristic
269#14556580—21no—
270#14556580—21no—
271#14556579—21no—
272#14556579—21no—
273#14556579C2311yescharacteristic
274#14556576—21no—
275#14556576—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556575—21no—
282#14556575—21no—
283#14556575—21no—
284#14556575—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556571—21no—
289#14556571—21no—
290#14556571—21no—
291#14556571C2311yescharacteristic
292#14556570—21no—
293#14556570C2311yescharacteristic
294#14556567—21no—
295#14556567—21no—
296#14556567C2311yescharacteristic
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556566—21no—
300#14556566—21no—
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556566C2311yescharacteristic
304#14556565—21no—
305#14556565—21no—
306#14556565—21no—
307#14556565C2311yescharacteristic
308#14556565C2311yescharacteristic
309#14556565C2311yescharacteristic
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556562—21no—
317#14556562C2311yescharacteristic
318#14556561—21no—
319#14556561—21no—
320#14556561—21no—
321#14556561—21no—
322#14556561—21no—
323#14556559—21no—
324#14556559—21no—
325#14556559—21no—
326Q8×Dic73—21no—
327Q8×Dic73C2311yescharacteristic
328Q8×Dic73C2311yescharacteristic
329C4×Dic146—21no—
330#14556556—21no—
331C4×D292—21no—
332C4×D292—21no—
333C4×D292—21no—
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337D4×Dic73—21no—
338D4×Dic73D411yescharacteristic
339#14556553—21no—
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553—21no—
344#14556553D411yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73C2311yescharacteristic
352C4×C22⋊D73C2311yescharacteristic
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551D411yescharacteristic
360#14556551D411yescharacteristic
361#14556549—21no—
362#14556549—21no—
363#14556549—21no—
364#14556549—21no—
365#14556549—21no—
366#14556549—21no—
367#14556549—21no—
368#14556549C2311yescharacteristic
369#14556549C2311yescharacteristic
370#14556549C2311yescharacteristic
371#14556549C2311yescharacteristic
372#14556549C2311yescharacteristic
373#14556549C2311yescharacteristic
374#14556549C2311yescharacteristic
375#14556549C2311yescharacteristic
376#14556547—21no—
377#14556547—21no—
378C2×C4⋊Dic73C2311yescharacteristic
379C2×C4⋊Dic73C2311yescharacteristic
380C4⋊C4×D73—21no—
381C4⋊C4×D73D411yescharacteristic
382C2×#11924005—21no—
383C2×#11924005—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73D411yescharacteristic
387C22⋊C4×D73D411yescharacteristic
388C2×C4×Dic73—21no—
389C2×C4×Dic73—21no—
390C42×D73—21no—
391C42×D73—21no—
392C42×D73C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556523C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556502C2311yescharacteristic
442#14556501C2311yescharacteristic
443#14556501C2311yescharacteristic
444C2×#41×C73C2311yescharacteristic
445C22×Q8×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×Q16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×M16×C73C2311yescharacteristic
450C22×C8×C73C2311yescharacteristic
451C4⋊Q8×C73C2311yescharacteristic
452#125×C73—21no—
453#124×C73—21no—
454#124×C73C2311yescharacteristic
455C22⋊Q8×C73—21no—
456C22⋊Q8×C73—21no—
457C22⋊Q8×C73—21no—
458C22⋊Q8×C73C2311yescharacteristic
459C22⋊Q8×C73C2311yescharacteristic
460C22⋊Q8×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73C2311yescharacteristic
463C4×Q8×C73C2311yescharacteristic
464C4×Q8×C73C2311yescharacteristic
465C4×D4×C73—21no—
466C4×D4×C73—21no—
467C4×D4×C73C2311yescharacteristic
468C2×C4⋊C4×C73C2311yescharacteristic
469C2×C4⋊C4×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472#106×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic
486#97×C73C2311yescharacteristic
487C23×D73—21no—
488C23×D73—21no—
489C23×D73C2×D411yescharacteristic
490C23×D73C2×D411yescharacteristic
491#11924029—22no—
492#11924029—22no—
493#11924029—22no—
494#11924029—22no—
495#11924029—22no—
496#11924029—22no—
497#11924029—22no—
498#11924029—44no—
499#11924029—41no—
500#11924029—41no—
501#11924029—44no—
502#11924029#4114yescomplemented
503#11924028—22no—
504#11924028—41no—
505#11924028—44no—
506#11924027—22no—
507#11924027—22no—
508#11924027—44no—
509#11924027—44no—
510C2×Dic146—21no—
511C2×Dic146—21no—
512C2×Dic146C2411yescharacteristic
513Q8×D73—22no—
514Q8×D73—41no—
515C2×D292—21no—
516C2×D292—22no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—41no—
526C2×D292—44no—
527C2×D292C2×D411yescharacteristic
528C2×D292C2411yescharacteristic
529C2×D292C2411yescharacteristic
530C2×D292C2411yescharacteristic
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73C2×D411yescharacteristic
541C2×C22⋊D73C2×D411yescharacteristic
542D4×D73—22no—
543D4×D73—41no—
544D4×D73—44no—
545D4×D73—42no—
546D4×D73—44no—
547C22×Dic73—21no—
548C22×Dic73—21no—
549C22×Dic73—21no—
550C22×Dic73C2×D411yescharacteristic
551C22×Dic73C2×D411yescharacteristic
552C2×C4×D73—21no—
553C2×C4×D73—22no—
554C2×C4×D73—22no—
555C2×C4×D73—22no—
556C2×C4×D73—22no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—44no—
568C2×C4×D73—44no—
569C2×C4×D73C2×D411yescharacteristic
570C2×C4×D73C2×D411yescharacteristic
571C2×C4×D73C2×D411yescharacteristic
572C2×C4×D73C2×D411yescharacteristic
573C2×C4×D73C2×D411yescharacteristic
574C2×C4×D73C2×D411yescharacteristic
575C2×C4×D73C2411yescharacteristic
576C2×C4×D73C2411yescharacteristic
577C2×C4×D73C2411yescharacteristic
578#11924018—41no—
579#11924017—41no—
580#11924015—22no—
581#11924015—22no—
582#11924015—41no—
583#11924015—41no—
584D584—22no—
585D584—41no—
586#11924013—41no—
587#11924012—41no—
588#11924011—41no—
589#11924011—41no—
590C2×#10596831—41no—
591C2×#10596831C2411yescharacteristic
592C2×#10596831C2411yescharacteristic
593C2×#10596831C2411yescharacteristic
594C2×#10596831C2411yescharacteristic
595C8×D73—22no—
596C8×D73—22no—
597C8×D73—22no—
598C8×D73—22no—
599C8×D73—41no—
600C8×D73—41no—
601C4⋊Dic73—21no—
602C4⋊Dic73—21no—
603C4⋊Dic73—21no—
604C4⋊Dic73—21no—
605C4⋊Dic73—21no—
606C4⋊Dic73—21no—
607C4⋊Dic73—21no—
608C4⋊Dic73—21no—
609C4⋊Dic73C2×D411yescharacteristic
610C4⋊Dic73C2411yescharacteristic
611C4⋊Dic73C2411yescharacteristic
612C4⋊Dic73C2411yescharacteristic
613C4⋊Dic73C2411yescharacteristic
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007C2×D411yescharacteristic
623#11924007C2×D411yescharacteristic
624C22⋊Dic73—21no—
625C22⋊Dic73—21no—
626C22⋊Dic73C2×D411yescharacteristic
627C22⋊Dic73C2×D411yescharacteristic
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005C2×D411yescharacteristic
653#11924005C2×D411yescharacteristic
654#11924005C2×D411yescharacteristic
655#11924005C2×D411yescharacteristic
656C4×Dic73—21no—
657C4×Dic73—21no—
658C4×Dic73—21no—
659C4×Dic73—21no—
660C4×Dic73—21no—
661C4×Dic73—21no—
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73C2×D411yescharacteristic
667C4×Dic73C2×D411yescharacteristic
668C4×Dic73C2411yescharacteristic
669#41×C73—22no—
670#41×C73—41no—
671C2×Q8×C73—21no—
672C2×Q8×C73—21no—
673C2×Q8×C73—22no—
674C2×Q8×C73—41no—
675C2×Q8×C73C2411yescharacteristic
676C2×Q8×C73C2411yescharacteristic
677C2×Q8×C73C2411yescharacteristic
678C2×D4×C73—21no—
679C2×D4×C73—21no—
680C2×D4×C73C2×D411yescharacteristic
681C2×D4×C73C2411yescharacteristic
682C22×C4×C73—21no—
683C22×C4×C73—21no—
684C22×C4×C73—21no—
685C22×C4×C73—21no—
686C22×C4×C73C2411yescharacteristic
687C22×C4×C73C2411yescharacteristic
688Q16×C73—22no—
689Q16×C73—41no—
690SD16×C73—41no—
691M16×C73—41no—
692C2×C8×C73—41no—
693C2×C8×C73C2411yescharacteristic
694C2×C8×C73C2411yescharacteristic
695C2×C8×C73C2411yescharacteristic
696C2×C8×C73C2411yescharacteristic
697C4⋊C4×C73—21no—
698C4⋊C4×C73—21no—
699C4⋊C4×C73—21no—
700C4⋊C4×C73—21no—
701C4⋊C4×C73—21no—
702C4⋊C4×C73—21no—
703C4⋊C4×C73—21no—
704C4⋊C4×C73—21no—
705C4⋊C4×C73C2×D411yescharacteristic
706C4⋊C4×C73C2411yescharacteristic
707C4⋊C4×C73C2411yescharacteristic
708C4⋊C4×C73C2411yescharacteristic
709C4⋊C4×C73C2411yescharacteristic
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73C2×D411yescharacteristic
717C22⋊C4×C73C2×D411yescharacteristic
718C42×C73—21no—
719C42×C73—21no—
720C42×C73C2411yescharacteristic
721C23×C73—21no—
722C23×C73C22×D411yescharacteristic
723C23×C73C22×D411yescharacteristic
724C22×D73—22no—
725C22×D73—21no—
726C22×D73—22no—
727C22×D73—22no—
728C22×D73—21no—
729C22×D73—21no—
730C22×D73—41no—
731C22×D73—41no—
732C22×D73—41no—
733C22×D73—42no—
734C22×D73—42no—
735C22×D73—42no—
736C22×D73—42no—
737C22×D73—81no—
738C22×D73—81no—
739C22×D73C22×D411yescharacteristic
740C22×D73C22×D411yescharacteristic
741C22×D73C22×D411yescharacteristic
742Q8×C73—21no—
743Q8×C73—21no—
744Q8×C73—21no—
745Q8×C73—21no—
746Q8×C73—21no—
747Q8×C73—42no—
748Q8×C73—81no—
749Q8×C73C2×#4112yes—
750D4×C73—22no—
751D4×C73—21no—
752D4×C73—21no—
753D4×C73—42no—
754D4×C73—42no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—21no—
766C2×C4×C73—42no—
767C2×C4×C73—42no—
768C2×C4×C73—81no—
769C2×C4×C73—81no—
770C2×C4×C73C22×D411yescharacteristic
771C2×C4×C73C22×D411yescharacteristic
772C2×C4×C73C22×D411yescharacteristic
773C2×C4×C73C22×D411yescharacteristic
774C2×C4×C73C2511yescharacteristic
775C22⋊D73—22no—
776C22⋊D73—41no—
777C22⋊D73—42no—
778C22⋊D73—42no—
779C22⋊D73—42no—
780C22⋊D73—42no—
781C22⋊D73—42no—
782C22⋊D73—42no—
783C22⋊D73—81no—
784C22⋊D73—81no—
785C22⋊D73—81no—
786C2×Dic73—22no—
787C2×Dic73—22no—
788C2×Dic73—21no—
789C2×Dic73—21no—
790C2×Dic73—21no—
791C2×Dic73—21no—
792C2×Dic73—21no—
793C2×Dic73—42no—
794C2×Dic73—42no—
795C2×Dic73—42no—
796C2×Dic73C22×D411yescharacteristic
797C2×Dic73C22×D411yescharacteristic
798C2×Dic73C22×D411yescharacteristic
799C2×Dic73C22×D411yescharacteristic
800C2×Dic73C22×D411yescharacteristic
801D292—24no—
802D292—21no—
803D292—21no—
804D292—21no—
805D292—21no—
806D292—21no—
807D292—41no—
808D292—42no—
809D292—42no—
810D292—42no—
811D292—42no—
812D292—42no—
813D292—42no—
814D292—81no—
815D292—81no—
816D292C2×#4112yes—
817C4×D73—22no—
818C4×D73—22no—
819C4×D73—21no—
820C4×D73—21no—
821C4×D73—21no—
822C4×D73—21no—
823C4×D73—22no—
824C4×D73—22no—
825C4×D73—24no—
826C4×D73—41no—
827C4×D73—41no—
828C4×D73—42no—
829C4×D73—42no—
830C4×D73—42no—
831C4×D73—42no—
832C4×D73—42no—
833C4×D73—42no—
834C4×D73—42no—
835C4×D73—42no—
836C4×D73—81no—
837C4×D73—81no—
838C4×D73C2×#4112yes—
839C4×D73H(5,𝔽2)12yes—
840Dic146—21no—
841Dic146—21no—
842Dic146—42no—
843Dic146—42no—
844C8×C73—21no—
845C8×C73—21no—
846C8×C73—21no—
847C8×C73—21no—
848#10596831—21no—
849#10596831—21no—
850#10596831—21no—
851#10596831—21no—
852C22×C73—21no—
853C22×C73—21no—
854C22×C73—21no—
855C22×C73—21no—
856C22×C73—21no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73#57512yes—
861C22×C73C23×D411yescharacteristic
862C2×D73—21no—
863C2×D73—21no—
864C2×D73—21no—
865C2×D73—21no—
866C2×D73—21no—
867C2×D73—21no—
868C2×D73—22no—
869C2×D73—21no—
870C2×D73—21no—
871C2×D73—44no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—82no—
881C2×D73—84no—
882C2×D73—84no—
883C2×D73#54612yes—
884C4×C73—21no—
885C4×C73—22no—
886C4×C73—21no—
887C4×C73—21no—
888C4×C73—21no—
889C4×C73—41no—
890C4×C73—41no—
891C4×C73—41no—
892C4×C73—41no—
893C4×C73—41no—
894C4×C73—41no—
895C4×C73C22×#4111yescharacteristic
896C4×C73C2×H(5,𝔽2)11yescharacteristic
897Dic73—21no—
898Dic73—21no—
899Dic73—21no—
900Dic73—21no—
901Dic73—41no—
902Dic73—41no—
903Dic73—41no—
904Dic73—41no—
905Dic73—41no—
906Dic73#54612yes—
907#61141—731nomaximal, Sylow
908C2×C73—22no—
909C2×C73—41no—
910C2×C73—81no—
911C2×C73C2×#54611yescharacteristic
912C2×C73C2×#57511yescharacteristic
913C2×C73#358411yescharacteristic
914D73—22no—
915D73—41no—
916D73—41no—
917D73—42no—
918D73—81no—
919D73—81no—
920#3475—731no—
921D4×#41—731no—
922#3321—731no—
923#3320—731no—
924#3319—731no—
925#3318—731no—
926#3317—731no—
927#3316D7311yescharacteristic, complemented
928#3315—731no—
929#3314—731no—
930#3313—731no—
931#3312—731no—
932#3311—731no—
933#3310—731no—
934#3309—731no—
935#3308—731no—
936#3307—731no—
937#3306—731no—
938#3135—731no—
939#3091—731no—
940#3091—731no—
941#3076—731no—
942#3054—731no—
943#3050—731no—
944#3035—731no—
945#3002—731no—
946#3002—731no—
947#2943—731no—
948C2×#435—731no—
949#2896—731no—
950C2×#416—731no—
951C73#6114111yescharacteristic, complemented, Sylow
952C22×#41—731no—
953C22×#41—731no—
954C2×#135—731no—
955C2×#135—731no—
956C2×#135—731no—
957C22×M16—731no—
958C23×C8—731no—
959#556—731no—
960#555—731no—
961#554C2×D7311yescharacteristic, complemented
962#553—731no—
963#553—731no—
964#552—731no—
965#552—731no—
966#552—1461no—
967#551—1461no—
968#551—1461no—
969#550—731no—
970D4×Q8—731no—
971#548—731no—
972#548C2×D7311yescharacteristic
973#547—731no—
974#547—731no—
975#547—1461no—
976#546—731no—
977#546—731no—
978#546—1461no—
979#546—1461no—
980#546—1461no—
981D42—731no—
982D42—1461no—
983#533—731no—
984#532—731no—
985#532—1461no—
986#529—1461no—
987#529—1461no—
988#529—1461no—
989#525—731no—
990#525—731no—
991#525—731no—
992#525—731no—
993#525—1461no—
994#525—1461no—
995C4×#41—731no—
996C4×#41—731no—
997C4×#41—1461no—
998C2×C4×D4—731no—
999C2×C4×D4—1461no—
1000C2×#117—731no—
1001C2×#117—731no—
1002#491—731no—
1003#491—731no—
1004#490—731no—
1005#490—731no—
1006#489—731no—
1007#489—731no—
1008#489—731no—
1009#489C2×D7311yescharacteristic, complemented
1010#485—731no—
1011#485—731no—
1012#485—731no—
1013#485—731no—
1014#484—731no—
1015#484—731no—
1016#483—731no—
1017#483C2×D7311yescharacteristic, complemented
1018#482—731no—
1019#482—731no—
1020#482—731no—
1021#482—731no—
1022#481—731no—
1023#481C2×D7311yescharacteristic, complemented
1024#480—731no—
1025#480—731no—
1026#479—731no—
1027#479—731no—
1028#478—731no—
1029#478—731no—
1030#477—731no—
1031#476—731no—
1032#475C2×D7311yescharacteristic, complemented
1033#474—731no—
1034#470—731no—
1035#470C2×D7311yescharacteristic, complemented
1036#469—731no—
1037#469—731no—
1038#468—731no—
1039#468—731no—
1040#468—731no—
1041#468—731no—
1042#467—731no—
1043#467—731no—
1044#466—731no—
1045#466—731no—
1046#465—731no—
1047#465—731no—
1048#465—731no—
1049#465C2×D7311yescharacteristic, complemented
1050#464—731no—
1051#464C2×D7311yescharacteristic, complemented
1052#463—731no—
1053#463—731no—
1054#462—731no—
1055#461—731no—
1056#460—731no—
1057#459—731no—
1058#452—731no—
1059#452—731no—
1060#452—731no—
1061#452C2×D7311yescharacteristic, complemented
1062#451—731no—
1063#451C2×D7311yescharacteristic, complemented
1064#450—731no—
1065#450—731no—
1066#449—731no—
1067#449—731no—
1068#449—731no—
1069#449—731no—
1070#448—731no—
1071#448—731no—
1072#447—731no—
1073#447—731no—
1074#442—731no—
1075#442—731no—
1076#441—731no—
1077#441C2×D7311yescharacteristic, complemented
1078#440—731no—
1079#440—731no—
1080#440—731no—
1081#440—731no—
1082#435—731no—
1083#435—731no—
1084#435—731no—
1085#435—731no—
1086#435—731no—
1087#435—731no—
1088#435—731no—
1089#435C2×D7311yescharacteristic, complemented
1090#427—731no—
1091#427—731no—
1092#427—731no—
1093C2×C4⋊C8—731no—
1094#419—731no—
1095#419—731no—
1096#418—731no—
1097#418—731no—
1098#417—731no—
1099#417—731no—
1100#417—731no—
1101#417C2×D7311yescharacteristic, complemented
1102#416—731no—
1103#416—731no—
1104#416—731no—
1105#416—731no—
1106#416—731no—
1107#416—731no—
1108#416—731no—
1109#416—731no—
1110#416—731no—
1111#416—731no—
1112#416—731no—
1113#416—731no—
1114#416—731no—
1115#416—731no—
1116C2×#103—731no—
1117C2×#103C2×D7311yescharacteristic, complemented
1118C2×#102—731no—
1119C2×#102—731no—
1120C2×C22⋊C8—731no—
1121C2×C22⋊C8—731no—
1122C2×#97—731no—
1123C2×#41—2922no—
1124C2×#41—2922no—
1125C2×#41—731no—
1126C2×#41—731no—
1127C2×#41—731no—
1128C2×#41—731no—
1129C2×#41—731no—
1130C2×#41—731no—
1131C2×#41—731no—
1132C2×#41—1461no—
1133C2×#41—1464no—
1134C2×#41—1464no—
1135C2×#41—1461no—
1136C2×#41—1461no—
1137C2×#41—1461no—
1138C2×#41—1461no—
1139C2×#41C22×D7311yescharacteristic
1140C22×Q8—731no—
1141C22×Q8C22×D7311yescharacteristic
1142C22×D4—731no—
1143C22×D4—731no—
1144C22×D4—731no—
1145C22×D4—1461no—
1146C22×D4—1461no—
1147C22×D4—1461no—
1148C23×C4—731no—
1149C23×C4—731no—
1150C23×C4—1461no—
1151C23×C4—1461no—
1152#135—2922no—
1153#135—2922no—
1154#135—1464no—
1155C2×Q16—731no—
1156C2×Q16C22×D7311yescharacteristic
1157C2×Q16C22×D7311yescharacteristic
1158C2×SD16—731no—
1159C2×SD16—731no—
1160C2×SD16—731no—
1161C2×SD16—731no—
1162C2×SD16—731no—
1163C2×SD16C22×D7311yescharacteristic
1164C2×D8—731no—
1165C2×D8—731no—
1166C2×D8—731no—
1167C2×M16—2922no—
1168C2×M16—731no—
1169C2×M16—731no—
1170C2×M16—731no—
1171C2×M16C22×D7311yescharacteristic
1172C22×C8—2922no—
1173C22×C8—731no—
1174C22×C8—731no—
1175C22×C8—731no—
1176C22×C8—731no—
1177C22×C8—731no—
1178C22×C8—731no—
1179C22×C8—731no—
1180C22×C8C22×D7311yescharacteristic
1181C4⋊Q8—731no—
1182C4⋊Q8—731no—
1183C4⋊Q8—1461no—
1184C4⋊Q8C22×D7311yescharacteristic
1185#127—731no—
1186#127—1461no—
1187#126—1461no—
1188#126—1461no—
1189#126—1461no—
1190#126—1461no—
1191#126—1461no—
1192#126—1461no—
1193#125—21no—
1194#125—731no—
1195#125—731no—
1196#125—1461no—
1197#125—1461no—
1198#124—21no—
1199#124—731no—
1200#124—1461no—
1201#124—1461no—
1202#124—1461no—
1203#124—1461no—
1204#124C22×D7311yescharacteristic
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209#123—1461no—
1210#123—1461no—
1211#123—1461no—
1212#123—1461no—
1213#123—1461no—
1214#123—1461no—
1215#123—1461no—
1216#123—1461no—
1217#123—1461no—
1218#123—1461no—
1219C22⋊Q8—21no—
1220C22⋊Q8—21no—
1221C22⋊Q8—21no—
1222C22⋊Q8—731no—
1223C22⋊Q8—731no—
1224C22⋊Q8—731no—
1225C22⋊Q8—731no—
1226C22⋊Q8—731no—
1227C22⋊Q8—1461no—
1228C22⋊Q8—1461no—
1229C22⋊Q8—1461no—
1230C22⋊Q8—1461no—
1231C22⋊Q8—1461no—
1232C22⋊Q8—1461no—
1233C22⋊Q8C22×D7311yescharacteristic
1234C22⋊Q8C22×D7311yescharacteristic
1235C22⋊Q8C22×D7311yescharacteristic
1236#121—21no—
1237#121—731no—
1238#121—731no—
1239#121—731no—
1240#121—731no—
1241#121—731no—
1242#121—731no—
1243#121—731no—
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#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121—1461no—
1256#121C22×D7311yescharacteristic
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260#120—1461no—
1261#120—1461no—
1262#120—1461no—
1263#120—1461no—
1264#120—1461no—
1265C4×Q8—731no—
1266C4×Q8—731no—
1267C4×Q8—1461no—
1268C4×Q8—1461no—
1269C4×Q8—1461no—
1270C4×Q8C22×D7311yescharacteristic
1271C4×Q8C22×D7311yescharacteristic
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—731no—
1284C4×D4—731no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4—1461no—
1302C4×D4—1461no—
1303C4×D4—1461no—
1304C4×D4C22×D7311yescharacteristic
1305#117—731no—
1306#117—731no—
1307#117—731no—
1308#117—731no—
1309#117—731no—
1310#117—731no—
1311#117—731no—
1312#117—731no—
1313#117—1461no—
1314#117—1461no—
1315#117—1461no—
1316#117—1461no—
1317#117—1461no—
1318#117—1461no—
1319#117—1461no—
1320#117—1461no—
1321#117—1461no—
1322C2×C4⋊C4—731no—
1323C2×C4⋊C4—731no—
1324C2×C4⋊C4—731no—
1325C2×C4⋊C4—1461no—
1326C2×C4⋊C4C22×D7311yescharacteristic
1327C2×C4⋊C4C22×D7311yescharacteristic
1328C2×C22⋊C4—731no—
1329C2×C22⋊C4—731no—
1330C2×C22⋊C4—1461no—
1331C2×C22⋊C4—1461no—
1332C2×C22⋊C4—1461no—
1333C2×C22⋊C4—1461no—
1334C2×C42—731no—
1335C2×C42—1461no—
1336C2×C42—1461no—
1337C2×C42—1461no—
1338C2×C42—1461no—
1339#107—731no—
1340#107—731no—
1341#107—731no—
1342#107—731no—
1343#107—731no—
1344#107—731no—
1345#106—731no—
1346#106—731no—
1347#106—731no—
1348#106C22×D7311yescharacteristic
1349#106C22×D7311yescharacteristic
1350#106C22×D7311yescharacteristic
1351C4⋊C8—731no—
1352C4⋊C8—731no—
1353C4⋊C8—731no—
1354C4⋊C8C22×D7311yescharacteristic
1355#103—731no—
1356#103—731no—
1357#103—731no—
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103—731no—
1364#103—731no—
1365#103—731no—
1366#103—731no—
1367#103—731no—
1368#103C22×D7311yescharacteristic
1369#103C22×D7311yescharacteristic
1370#103C22×D7311yescharacteristic
1371#103C22×D7311yescharacteristic
1372#103C22×D7311yescharacteristic
1373#103C22×D7311yescharacteristic
1374#103C22×D7311yescharacteristic
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102—731no—
1392#102C22×D7311yescharacteristic
1393#102C22×D7311yescharacteristic
1394#102C22×D7311yescharacteristic
1395C22⋊C8—731no—
1396C22⋊C8—731no—
1397C22⋊C8—731no—
1398C22⋊C8—731no—
1399C22⋊C8—731no—
1400C22⋊C8—731no—
1401C22⋊C8C22×D7311yescharacteristic
1402C22⋊C8C22×D7311yescharacteristic
1403#97—731no—
1404#97—731no—
1405#97—731no—
1406#97C22×D7311yescharacteristic
1407C24—731no—
1408C24—731no—
1409C24—1461no—
1410C24—1461no—
1411#41—22no—
1412#41—41no—
1413#41—2921no—
1414#41—2924no—
1415#41—2924no—
1416#41—2921no—
1417#41—2921no—
1418#41—2924no—
1419#41—2924no—
1420#41—2924no—
1421#41—734no—
1422#41—1462no—
1423#41—1462no—
1424#41—1462no—
1425#41—1462no—
1426#41—1462no—
1427#41—1462no—
1428#41—1462no—
1429#41—1462no—
1430#41—1462no—
1431#41—1462no—
1432C2×Q8—21no—
1433C2×Q8—21no—
1434C2×Q8—22no—
1435C2×Q8—41no—
1436C2×Q8—2921no—
1437C2×Q8—731no—
1438C2×Q8—1461no—
1439C2×Q8—1462no—
1440C2×Q8—1461no—
1441C2×Q8C23×D7311yescharacteristic
1442C2×Q8C23×D7311yescharacteristic
1443C2×Q8C23×D7311yescharacteristic
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—2921no—
1447C2×D4—2924no—
1448C2×D4—2922no—
1449C2×D4—2924no—
1450C2×D4—2924no—
1451C2×D4—2921no—
1452C2×D4—731no—
1453C2×D4—731no—
1454C2×D4—731no—
1455C2×D4—731no—
1456C2×D4—731no—
1457C2×D4—731no—
1458C2×D4—1461no—
1459C2×D4—1461no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1462no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1462no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4—1461no—
1478C2×D4D4×D7311yescharacteristic
1479C2×D4C23×D7311yescharacteristic
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—2924no—
1485C22×C4—2924no—
1486C22×C4—731no—
1487C22×C4—731no—
1488C22×C4—731no—
1489C22×C4—731no—
1490C22×C4—731no—
1491C22×C4—731no—
1492C22×C4—731no—
1493C22×C4—731no—
1494C22×C4—731no—
1495C22×C4—731no—
1496C22×C4—731no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1462no—
1506C22×C4—1462no—
1507C22×C4—1462no—
1508C22×C4—1462no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4—1461no—
1515C22×C4C23×D7311yescharacteristic
1516C22×C4C23×D7311yescharacteristic
1517Q16—22no—
1518Q16—41no—
1519Q16—2921no—
1520SD16—41no—
1521SD16—2921no—
1522SD16—2921no—
1523SD16—2921no—
1524SD16—1462no—
1525SD16—1462no—
1526D8—2921no—
1527D8—2921no—
1528D8—1462no—
1529M16—41no—
1530M16—2921no—
1531M16—2921no—
1532M16—2921no—
1533C2×C8—41no—
1534C2×C8—2921no—
1535C2×C8—2921no—
1536C2×C8—2921no—
1537C2×C8—731no—
1538C2×C8—731no—
1539C2×C8—731no—
1540C2×C8—731no—
1541C2×C8—1462no—
1542C2×C8—1462no—
1543C2×C8—1462no—
1544C2×C8—1462no—
1545C2×C8C23×D7311yescharacteristic
1546C2×C8C23×D7311yescharacteristic
1547C2×C8C23×D7311yescharacteristic
1548C2×C8C23×D7311yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—731no—
1558C4⋊C4—731no—
1559C4⋊C4—731no—
1560C4⋊C4—731no—
1561C4⋊C4—731no—
1562C4⋊C4—731no—
1563C4⋊C4—731no—
1564C4⋊C4—1461no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4—1461no—
1570C4⋊C4—1461no—
1571C4⋊C4—1461no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4D4×D7311yescharacteristic
1581C4⋊C4C23×D7311yescharacteristic
1582C4⋊C4C23×D7311yescharacteristic
1583C4⋊C4C23×D7311yescharacteristic
1584C4⋊C4C23×D7311yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—731no—
1592C22⋊C4—731no—
1593C22⋊C4—731no—
1594C22⋊C4—731no—
1595C22⋊C4—731no—
1596C22⋊C4—731no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4D4×D7311yescharacteristic
1624C22⋊C4D4×D7311yescharacteristic
1625C42—21no—
1626C42—21no—
1627C42—731no—
1628C42—731no—
1629C42—731no—
1630C42—1461no—
1631C42—1461no—
1632C42—1461no—
1633C42—1461no—
1634C42—1461no—
1635C42—1461no—
1636C42—1461no—
1637C42—1461no—
1638C42—1461no—
1639C42—1461no—
1640C42C23×D7311yescharacteristic
1641C23—21no—
1642C23—2921no—
1643C23—2922no—
1644C23—2921no—
1645C23—2921no—
1646C23—2922no—
1647C23—2922no—
1648C23—2922no—
1649C23—5841no—
1650C23—5841no—
1651C23—731no—
1652C23—731no—
1653C23—731no—
1654C23—1462no—
1655C23—1462no—
1656C23—1461no—
1657C23—1461no—
1658C23—1462no—
1659C23—1461no—
1660C23C2×D4×D7311yescharacteristic
1661C23C2×D4×D7311yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—42no—
1668Q8—81no—
1669Q8—2922no—
1670Q8—2922no—
1671Q8—1461no—
1672Q8—1461no—
1673Q8#41×D7312yes—
1674D4—22no—
1675D4—21no—
1676D4—21no—
1677D4—42no—
1678D4—42no—
1679D4—2922no—
1680D4—2922no—
1681D4—2921no—
1682D4—2922no—
1683D4—2922no—
1684D4—2922no—
1685D4—2922no—
1686D4—2922no—
1687D4—2922no—
1688D4—2922no—
1689D4—2922no—
1690D4—2921no—
1691D4—2922no—
1692D4—2922no—
1693D4—5841no—
1694D4—5841no—
1695D4—5841no—
1696D4—5841no—
1697D4—5841no—
1698D4—732no—
1699D4—1464no—
1700D4—1462no—
1701D4—1461no—
1702D4—1461no—
1703D4—1461no—
1704D4—1461no—
1705D4—1461no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—81no—
1720C2×C4—81no—
1721C2×C4—2922no—
1722C2×C4—2922no—
1723C2×C4—2922no—
1724C2×C4—2922no—
1725C2×C4—2921no—
1726C2×C4—2921no—
1727C2×C4—2922no—
1728C2×C4—2922no—
1729C2×C4—2922no—
1730C2×C4—2922no—
1731C2×C4—2922no—
1732C2×C4—2922no—
1733C2×C4—2922no—
1734C2×C4—5841no—
1735C2×C4—5841no—
1736C2×C4—731no—
1737C2×C4—732no—
1738C2×C4—732no—
1739C2×C4—731no—
1740C2×C4—731no—
1741C2×C4—731no—
1742C2×C4—731no—
1743C2×C4—1462no—
1744C2×C4—1464no—
1745C2×C4—1462no—
1746C2×C4—1462no—
1747C2×C4—1462no—
1748C2×C4—1461no—
1749C2×C4—1461no—
1750C2×C4—1461no—
1751C2×C4—1461no—
1752C2×C4—1461no—
1753C2×C4—1462no—
1754C2×C4—1462no—
1755C2×C4—1461no—
1756C2×C4—1461no—
1757C2×C4—1461no—
1758C2×C4—1461no—
1759C2×C4C2×D4×D7311yescharacteristic
1760C2×C4C2×D4×D7311yescharacteristic
1761C2×C4C2×D4×D7311yescharacteristic
1762C2×C4C2×D4×D7311yescharacteristic
1763C2×C4C24×D7311yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1461no—
1769C8—1461no—
1770C8—1461no—
1771C8—1461no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—2924no—
1781C22—2921no—
1782C22—2921no—
1783C22—2921no—
1784C22—2921no—
1785C22—2921no—
1786C22—2921no—
1787C22—2921no—
1788C22—2921no—
1789C22—5844no—
1790C22—5842no—
1791C22—5844no—
1792C22—732no—
1793C22—1461no—
1794C22—1462no—
1795C22—1461no—
1796C22—1461no—
1797C22—1461no—
1798C22—1461no—
1799C22—1461no—
1800C22—1461no—
1801C22—1461no—
1802C22#1798938612yes—
1803C22C22×D4×D7311yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—22no—
1807C4—21no—
1808C4—21no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—2921no—
1816C4—2921no—
1817C4—2921no—
1818C4—2921no—
1819C4—2921no—
1820C4—732no—
1821C4—1461no—
1822C4—1461no—
1823C4—1461no—
1824C4—1461no—
1825C4C2×#41×D7311yescharacteristic
1826C4H(5,𝔽2)×D7311yescharacteristic
1827C2—22no—
1828C2—41no—
1829C2—81no—
1830C2—2921no—
1831C2—2922no—
1832C2—2921no—
1833C2—5841no—
1834C2—5841no—
1835C2—1462no—
1836C2#546×D7311yescharacteristic
1837C2C2×#1798938611yescharacteristic
1838C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3316C2
socleC22×C73C23×D4
hypercenter#3316D73
hypocenterC73#61141
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3316

Complements

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

NH ≅ G/Ntype
1. #22623497C2semidirect
2. #22623420C2semidirect
3. #22622114C2semidirect
4. #22622098C2semidirect
5. #22622086C2semidirect
6. #22622070C2semidirect
7. #22622050C2semidirect
8. #22622022C2semidirect
9. #22622006C2semidirect
10. #22622002C2semidirect
11. #22621986C2semidirect
12. #22621974C2semidirect
13. #22621958C2semidirect
14. #22621938C2semidirect
15. #22621922C2semidirect
16. #22621910C2semidirect
17. #22621894C2semidirect
18. #22620273C2semidirect
19. #22619845C2semidirect
20. #22619841C2semidirect
21. #22619714C2semidirect
22. #22619542C2semidirect
23. #22619507C2semidirect
24. #22619385C2semidirect
25. #22619154C2semidirect
26. #22619152C2semidirect
27. #22618730C2semidirect
28. #435×D73C2semidirect
29. #22618447C2semidirect
30. C2×#17988582C2semidirect
31. C73×#3316C2semidirect
35. C2×#14556614C22semidirect
36. C2×#14556612C22semidirect
37. C2×M16×D73C22semidirect
38. C22×C8×D73C22semidirect
39. #17989310C22semidirect
40. #17989303C22semidirect
42. #17989285C22semidirect
44. #17989279C22semidirect
51. #17989241C22semidirect
61. #17989142C22semidirect
69. #17989100C22semidirect
70. #17989100C22semidirect
74. C4×#11924029C22semidirect
78. C2×#14556549C22semidirect
79. C2×#14556549C22semidirect
80. #17988954C22semidirect
81. #17988954C22semidirect
82. #17988950C22semidirect
83. #17988950C22semidirect
84. #17988949C22semidirect
85. #17988947C22semidirect
86. #17988946C22semidirect
87. #17988931C22semidirect
88. #17988931C22semidirect
89. #17988926C22semidirect
90. #17988926C22semidirect
91. #17988922C22semidirect
92. #17988920C22semidirect
93. #17988918C22semidirect
94. #17988913C22semidirect
95. #17988913C22semidirect
96. #17988910C22semidirect
97. #17988910C22semidirect
98. #17988906C22semidirect
99. #17988900C22semidirect
100. #17988898C22semidirect
101. #17988892C22semidirect
102. #17988892C22semidirect
103. #17988886C22semidirect
104. #17988886C22semidirect
105. #17988882C22semidirect
106. #17988878C22semidirect
107. #17988864C22semidirect
108. #17988842C22semidirect
109. #17988841C22semidirect
110. #17988840C22semidirect
111. #17988836C22semidirect
112. #17988836C22semidirect
113. #17988835C22semidirect
114. #17988835C22semidirect
115. #17988827C22semidirect
116. #17988826C22semidirect
117. #17988822C22semidirect
118. #17988821C22semidirect
119. #17988817C22semidirect
120. #17988816C22semidirect
121. #17988813C22semidirect
122. #17988809C22semidirect
123. #17988803C22semidirect
124. #17988799C22semidirect
125. #17988795C22semidirect
126. #17988791C22semidirect
127. #17988785C22semidirect
128. #17988781C22semidirect
129. #17988748C22semidirect
130. #17988748C22semidirect
131. #17988747C22semidirect
132. #17988741C22semidirect
133. #17988737C22semidirect
134. #17988736C22semidirect
135. #17988735C22semidirect
136. #17988735C22semidirect
137. #17988734C22semidirect
138. #17988732C22semidirect
139. #17988727C22semidirect
140. #17988726C22semidirect
141. #17988723C22semidirect
142. #17988722C22semidirect
143. #17988700C22semidirect
144. #17988698C22semidirect
145. #17988694C22semidirect
146. #17988690C22semidirect
147. #17988690C22semidirect
148. #17988685C22semidirect
149. #17988685C22semidirect
150. #17988661C22semidirect
151. #17988660C22semidirect
152. #17988659C22semidirect
154. #17988657C22semidirect
155. #17988656C22semidirect
157. #17988622C22semidirect
158. #17988622C22semidirect
159. #17988622C22semidirect
160. C4⋊C8×D73C22semidirect
161. #17988594C22semidirect
162. #17988594C22semidirect
163. #17988590C22semidirect
164. #17988590C22semidirect
165. #17988589C22semidirect
166. #17988588C22semidirect
167. #17988586C22semidirect
171. #17988582C22semidirect
172. #17988582C22semidirect
173. #17988582C22semidirect
174. #17988582C22semidirect
175. #17988582C22semidirect
176. #17988582C22semidirect
177. #17988582C22semidirect
178. #17988582C22semidirect
179. #17988580C22semidirect
180. #17988580C22semidirect
181. #17988580C22semidirect
182. C2×#14556515C22semidirect
183. C2×#14556513C22semidirect
184. C2×#14556511C22semidirect
185. C22⋊C8×D73C22semidirect
186. C22⋊C8×D73C22semidirect
187. #97×D73C22semidirect
188. #554×C73C22semidirect
190. #489×C73C22semidirect
191. #483×C73C22semidirect
192. #481×C73C22semidirect
193. #475×C73C22semidirect
194. #470×C73C22semidirect
195. #465×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
198. #451×C73C22semidirect
199. #441×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. C2×#103×C73C22semidirect
502. #11924029#41semidirect
927. #3316D73semidirect
951. C73#61141semidirect
961. #554C2×D73semidirect
1009. #489C2×D73semidirect
1017. #483C2×D73semidirect
1023. #481C2×D73semidirect
1032. #475C2×D73semidirect
1035. #470C2×D73semidirect
1049. #465C2×D73semidirect
1051. #464C2×D73semidirect
1061. #452C2×D73semidirect
1063. #451C2×D73semidirect
1077. #441C2×D73semidirect
1089. #435C2×D73semidirect
1101. #417C2×D73semidirect
1117. C2×#103C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226234972
#226234202
#226221142
#226220982
#226220862
#226220702
#226220502
#226220222
#226220062
#226220022
#226219862
#226219742
#226219582
#226219382
#226219222
#226219102
#226218942
#226202732
#226198452
#226198412
#226197142
#226195422
#226195072
#226193852
#226191542
#226191522
#226187302
#435×D732
#226184472
C2×#179885822
C73×#33162
#6114173