Finite Group Databasebeta

← #33979788

Subgroups — #33979788

Order 18688.

1860 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624524C211yesmaximal, characteristic, complemented
2#22623872C211yesmaximal, characteristic, complemented
3#22622996C211yesmaximal, characteristic, complemented
4#22622938C211yesmaximal, characteristic, complemented
5#22622689C211yesmaximal, characteristic, complemented
6#22622584C211yesmaximal, characteristic, complemented
7#22622236C211yesmaximal, characteristic, complemented
8#22622194C211yesmaximal, characteristic, complemented
9#22622177C211yesmaximal, characteristic, complemented
10#22622050C211yesmaximal, characteristic, complemented
11#22621894C211yesmaximal, characteristic, complemented
12#22621787C211yesmaximal, characteristic, complemented
13#22621632C211yesmaximal, characteristic, complemented
14#22621545C211yesmaximal, characteristic, complemented
15#22621538C211yesmaximal, characteristic, complemented
16#22621535C211yesmaximal, characteristic, complemented
17#22621424C211yesmaximal, characteristic, complemented
18#22621371C211yesmaximal, characteristic, complemented
19#22621347C211yesmaximal, characteristic, complemented
20#22621333C211yesmaximal, characteristic, complemented
21#22621035C211yesmaximal, characteristic, complemented
22#22620979C211yesmaximal, characteristic, complemented
23#22620910C211yesmaximal, characteristic, complemented
24#22620173C211yesmaximal, characteristic, complemented
25#22620138C211yesmaximal, characteristic, complemented
26#22619979C211yesmaximal, characteristic, complemented
27#22619468C211yesmaximal, characteristic, complemented
28#22619438C211yesmaximal, characteristic, complemented
29#22619392C211yesmaximal, characteristic, complemented
30#22619073C211yesmaximal, characteristic, complemented
31C73×#3267C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556617C2211yescharacteristic
34C2×#14556616C2211yescharacteristic
35C2×SD16×D73C2211yescharacteristic, complemented
36#17989334—21no—
37#17989325—21no—
38#17989320C2211yescharacteristic, complemented
39#17989319C2211yescharacteristic, complemented
40#17989311C2211yescharacteristic, complemented
41#17989294C2211yescharacteristic, complemented
42#17989289—21no—
43#17989289C2211yescharacteristic
44#17989285—21no—
45#17989279C2211yescharacteristic, complemented
46#17989265—21no—
47#17989263—21no—
48#17989260—21no—
49#17989256C2211yescharacteristic
50#17989247C2211yescharacteristic
51#17989244C2211yescharacteristic, complemented
52#17989241C2211yescharacteristic
53#17989233C2211yescharacteristic, complemented
54#17989228C2211yescharacteristic, complemented
55#17989225C2211yescharacteristic
56#17989224—21no—
57D4×C22⋊D73C2211yescharacteristic, complemented
58#17989206C2211yescharacteristic, complemented
59#17989197C2211yescharacteristic, complemented
60#17989190C2211yescharacteristic
61#17989189—21no—
62#17989188C2211yescharacteristic, complemented
63#17989184—21no—
64#17989181—21no—
65#17989174—21no—
66#17989173—21no—
67#17989169—21no—
68#17989162C2211yescharacteristic, complemented
69#17989151C2211yescharacteristic, complemented
70#17989133C2211yescharacteristic, complemented
71#17989123C2211yescharacteristic, complemented
72#17989123C2211yescharacteristic, complemented
73#17989117C2211yescharacteristic
74#17989093—21no—
75C2×#14556575—21no—
76#17989070C2211yescharacteristic
77#17989059C2211yescharacteristic, complemented
78C2×D4×Dic73C2211yescharacteristic, complemented
79#17988973C2211yescharacteristic
80#17988972C2211yescharacteristic, complemented
81#17988969C2211yescharacteristic, complemented
82#17988968C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic
84#17988950C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988943C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988940C2211yescharacteristic, complemented
89#17988937C2211yescharacteristic, complemented
90#17988920C2211yescharacteristic, complemented
91#17988920C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988906C2211yescharacteristic, complemented
96#17988897C2211yescharacteristic, complemented
97#17988892C2211yescharacteristic, complemented
98#17988892C2211yescharacteristic, complemented
99#17988892C2211yescharacteristic, complemented
100#17988889C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic, complemented
103#17988886C2211yescharacteristic, complemented
104#17988878C2211yescharacteristic, complemented
105#17988867C2211yescharacteristic, complemented
106#17988840C2211yescharacteristic
107#17988837C2211yescharacteristic, complemented
108#17988836C2211yescharacteristic, complemented
109#17988835C2211yescharacteristic, complemented
110#17988835C2211yescharacteristic, complemented
111#17988835C2211yescharacteristic, complemented
112#17988831C2211yescharacteristic, complemented
113#17988822C2211yescharacteristic
114#17988816C2211yescharacteristic, complemented
115#17988813C2211yescharacteristic, complemented
116#17988811C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic
122#17988804C2211yescharacteristic
123#17988804C2211yescharacteristic
124#17988804C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic, complemented
126#17988803C2211yescharacteristic, complemented
127#17988802C2211yescharacteristic
128#17988800C2211yescharacteristic, complemented
129#17988800C2211yescharacteristic, complemented
130#17988799C2211yescharacteristic, complemented
131#17988795C2211yescharacteristic, complemented
132#17988791C2211yescharacteristic, complemented
133#17988790C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988789C2211yescharacteristic, complemented
136#17988786C2211yescharacteristic, complemented
137#17988785C2211yescharacteristic, complemented
138#17988785C2211yescharacteristic, complemented
139#17988785C2211yescharacteristic, complemented
140#17988781C2211yescharacteristic, complemented
141#17988780C2211yescharacteristic
142#17988780C2211yescharacteristic
143#17988780C2211yescharacteristic, complemented
144#17988749C2211yescharacteristic
145#17988748C2211yescharacteristic, complemented
146#17988747C2211yescharacteristic, complemented
147#17988741C2211yescharacteristic, complemented
148#17988734C2211yescharacteristic
149#17988732C2211yescharacteristic, complemented
150#17988732C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic
152#17988724C2211yescharacteristic, complemented
153#17988723C2211yescharacteristic, complemented
154#17988722C2211yescharacteristic
155#17988721C2211yescharacteristic
156#17988720C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158#17988715C2211yescharacteristic, complemented
159#17988711C2211yescharacteristic, complemented
160#17988700C2211yescharacteristic, complemented
161#17988694C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic, complemented
163#17988679C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165SD16×Dic73C2211yescharacteristic, complemented
166SD16×Dic73C2211yescharacteristic, complemented
167C4×#11924013C2211yescharacteristic
168C4×#11924013C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic
170#17988667C2211yescharacteristic, complemented
171#17988665C2211yescharacteristic, complemented
172#17988663C2211yescharacteristic, complemented
173#17988662C2211yescharacteristic, complemented
174#17988661C2211yescharacteristic, complemented
175C8×C22⋊D73C2211yescharacteristic, complemented
176#17988649C2211yescharacteristic, complemented
177#17988645C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988613C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988589C2211yescharacteristic, complemented
184#17988588C2211yescharacteristic, complemented
185#17988588C2211yescharacteristic, complemented
186#17988582C2211yescharacteristic, complemented
187C2×#14556513C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C2×#135×C73C2211yescharacteristic
190#547×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic
192#497×C73C2211yescharacteristic, complemented
193#470×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic
198#452×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027—21no—
206C2×Q8×D73C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C22×C22⋊D73—21no—
209C2×D4×D73C2311yescharacteristic
210C23×Dic73—21no—
211#14556618—42no—
212#14556617—42no—
213#14556616—42no—
214C2×#11924018C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924016C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222SD16×D73—42no—
223C2×D584C2311yescharacteristic
224C2×D584C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924012C2311yescharacteristic
231C2×#11924012C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556591C2311yescharacteristic
235#14556589C2311yescharacteristic
236#14556587—21no—
237#14556587C2311yescharacteristic
238#14556587C2311yescharacteristic
239#14556587C2311yescharacteristic
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556586D411yescharacteristic
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584D411yescharacteristic
251#14556582—21no—
252#14556582—21no—
253#14556582C2311yescharacteristic
254#14556582C2311yescharacteristic
255#14556582C2311yescharacteristic
256#14556581—21no—
257#14556581D411yescharacteristic
258#14556580C2311yescharacteristic
259#14556580C2311yescharacteristic
260#14556580C2311yescharacteristic
261#14556580C2311yescharacteristic
262#14556579C2311yescharacteristic
263#14556578—21no—
264#14556578C2311yescharacteristic
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577D411yescharacteristic
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556575—21no—
275#14556575—21no—
276#14556575—21no—
277#14556575—21no—
278#14556575—21no—
279#14556575—21no—
280#14556575—21no—
281#14556575—21no—
282#14556575—21no—
283#14556575D411yescharacteristic
284#14556574—21no—
285#14556574—21no—
286#14556574—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573—21no—
291#14556572D411yescharacteristic
292#14556571—21no—
293#14556571—21no—
294#14556570—21no—
295#14556570—21no—
296#14556570C2311yescharacteristic
297#14556569—21no—
298#14556569—21no—
299#14556569—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556568D411yescharacteristic
304#14556567C2311yescharacteristic
305#14556566—21no—
306#14556566C2311yescharacteristic
307#14556565—21no—
308#14556565—21no—
309#14556565—21no—
310#14556565—21no—
311#14556565C2311yescharacteristic
312#14556565C2311yescharacteristic
313#14556565C2311yescharacteristic
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563D411yescharacteristic
324#14556562—21no—
325#14556562—21no—
326#14556562—21no—
327#14556562C2311yescharacteristic
328#14556562C2311yescharacteristic
329#14556561—21no—
330#14556560—21no—
331#14556559—21no—
332#14556559—21no—
333#14556559—21no—
334#14556559—21no—
335#14556559—21no—
336Q8×Dic73C2311yescharacteristic
337Q8×Dic73C2311yescharacteristic
338Q8×Dic73C2311yescharacteristic
339Q8×Dic73C2311yescharacteristic
340C4×Dic146C2311yescharacteristic
341#14556556C2311yescharacteristic
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344D4×Dic73—21no—
345D4×Dic73—21no—
346D4×Dic73—21no—
347D4×Dic73—21no—
348D4×Dic73—21no—
349D4×Dic73C2311yescharacteristic
350D4×Dic73C2311yescharacteristic
351D4×Dic73C2311yescharacteristic
352D4×Dic73C2311yescharacteristic
353D4×Dic73C2311yescharacteristic
354#14556553—21no—
355#14556553C2311yescharacteristic
356#14556553C2311yescharacteristic
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73C2311yescharacteristic
364C4×C22⋊D73C2311yescharacteristic
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556550—21no—
370#14556550C2311yescharacteristic
371#14556549—21no—
372#14556549—21no—
373#14556549—21no—
374#14556549C2311yescharacteristic
375#14556548C2311yescharacteristic
376#14556547—21no—
377C2×C4⋊Dic73—21no—
378C2×C4⋊Dic73—21no—
379C2×C4⋊Dic73C2311yescharacteristic
380C2×C4⋊Dic73C2311yescharacteristic
381C2×C22⋊Dic73—21no—
382C2×#11924005—21no—
383C2×#11924005—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C2×C4×Dic73C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556501C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443AGL(1,ℤ/8)×C73—42no—
444#135×C73—42no—
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456C4⋊Q8×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#123×C73—21no—
459#123×C73—21no—
460#123×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463C22⋊Q8×C73C2311yescharacteristic
464#121×C73—21no—
465#121×C73—21no—
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471C2×C4⋊C4×C73—21no—
472C2×C22⋊C4×C73—21no—
473#106×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—41no—
487#11924029—41no—
488#11924028—41no—
489#11924028—41no—
490#11924027—82no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495Q8×D73—41no—
496Q8×D73—41no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—41no—
501C2×D292—41no—
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
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⋊D73—21no—
518C2×C22⋊D73—82no—
519C2×C22⋊D73C2×D411yescharacteristic
520C2×C22⋊D73C2×D411yescharacteristic
521D4×D73—22no—
522D4×D73—41no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—82no—
531C22×Dic73C2×D411yescharacteristic
532C22×Dic73C2×D411yescharacteristic
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×D73C2411yescharacteristic
541#11924018—41no—
542#11924017—41no—
543#11924016—22no—
544#11924016—41no—
545#11924015—41no—
546#11924015—41no—
547#11924015—41no—
548#11924015—41no—
549D584—41no—
550D584—41no—
551#11924013—22no—
552#11924013—22no—
553#11924013—41no—
554#11924013—41no—
555#11924013—41no—
556#11924012—41no—
557#11924012—41no—
558#11924011—41no—
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C2×#10596831C2411yescharacteristic
562C2×#10596831C2411yescharacteristic
563C8×D73—41no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73C2×D411yescharacteristic
575C4⋊Dic73C2×D411yescharacteristic
576C4⋊Dic73C2×D411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73C2×D411yescharacteristic
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
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
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C24×C73—21no—
645#41×C73—22no—
646#41×C73—41no—
647#41×C73—41no—
648#41×C73—41no—
649#41×C73—41no—
650#41×C73—41no—
651C2×Q8×C73C2411yescharacteristic
652C2×Q8×C73C2411yescharacteristic
653C2×Q8×C73C2411yescharacteristic
654C2×D4×C73—22no—
655C2×D4×C73—21no—
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—41no—
661C2×D4×C73C2×D411yescharacteristic
662C2×D4×C73C2411yescharacteristic
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73C2411yescharacteristic
671C22×C4×C73C2411yescharacteristic
672Q16×C73—41no—
673Q16×C73—41no—
674SD16×C73—22no—
675SD16×C73—22no—
676SD16×C73—41no—
677SD16×C73—41no—
678SD16×C73—41no—
679D8×C73—22no—
680D8×C73—41no—
681M16×C73—41no—
682C2×C8×C73—41no—
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73C2×D411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73C2×D411yescharacteristic
704C22⋊C4×C73C2×D411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—42no—
710C23×C73—42no—
711C23×C73—81no—
712C23×C73C22×D411yescharacteristic
713C23×C73C22×D411yescharacteristic
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—21no—
717C22×D73—42no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73—81no—
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729Q8×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—41no—
736D4×C73—42no—
737D4×C73—42no—
738D4×C73—81no—
739D4×C73—81no—
740D4×C73—81no—
741D4×C73H(5,𝔽2)12yes—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—42no—
752C2×C4×C73—81no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73—81no—
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C2511yescharacteristic
761C22⋊D73—41no—
762C22⋊D73—41no—
763C22⋊D73—42no—
764C22⋊D73—42no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—41no—
782C2×Dic73—41no—
783C2×Dic73—42no—
784C2×Dic73—81no—
785C2×Dic73—81no—
786C2×Dic73—81no—
787C2×Dic73—81no—
788C2×Dic73—81no—
789C2×Dic73—81no—
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797D292—21no—
798D292—21no—
799D292—21no—
800D292—21no—
801D292—21no—
802D292—21no—
803D292—81no—
804D292—81no—
805D292—81no—
806C4×D73—21no—
807C4×D73—21no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814C4×D73—81no—
815Dic146—21no—
816Dic146—21no—
817Dic146—41no—
818Dic146—81no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—22no—
833C22×C73—21no—
834C22×C73—21no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—84no—
844C22×C73C23×D411yescharacteristic
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—21no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—162no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73C2×H(5,𝔽2)11yescharacteristic
869C4×C73#58511yescharacteristic
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—21no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62027—731nomaximal, Sylow
883C2×C73—41no—
884C2×C73—42no—
885C2×C73—41no—
886C2×C73—81no—
887C2×C73—81no—
888C2×C73#348811yescharacteristic
889C2×C73#358411yescharacteristic
890C2×C73#358511yescharacteristic
891D73—41no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3562—731no—
896#3513—731no—
897#3401—731no—
898#3396—731no—
899#3370—731no—
900#3360—731no—
901#3330—731no—
902#3327—731no—
903#3326—731no—
904#3317—731no—
905#3306—731no—
906#3297—731no—
907#3282—731no—
908#3274—731no—
909#3273—731no—
910#3273—731no—
911#3267D7311yescharacteristic, complemented
912#3265—731no—
913#3260—731no—
914#3257—731no—
915#3256—731no—
916#3225—731no—
917#3220—731no—
918#3212—731no—
919#3122—731no—
920#3120—731no—
921#3105—731no—
922#3045—731no—
923#3042—731no—
924#3036—731no—
925#2993—731no—
926C73#6202711yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)—731no—
930C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
931C2×#135C2×D7311yescharacteristic
932C22×SD16—731no—
933#562—1461no—
934#560—1461no—
935#559—731no—
936#559—731no—
937#556—731no—
938#554—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#552—731no—
943#551—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#548—731no—
948#548—731no—
949#547—731no—
950#547C2×D7311yescharacteristic, complemented
951#546—731no—
952#546—731no—
953#546—731no—
954#546—1461no—
955#546C2×D7311yescharacteristic
956D42—731no—
957#542—731no—
958#541—731no—
959#540—731no—
960#540—731no—
961#540—1461no—
962#539—1461no—
963#539—1461no—
964#538—1461no—
965#538—1461no—
966#538—1461no—
967#536—731no—
968#535—731no—
969#532—731no—
970#529—731no—
971#529—731no—
972#529—731no—
973#525—1461no—
974C2×#123—1461no—
975#520—731no—
976#518—731no—
977C2×C4×D4—731no—
978#497C2×D7311yescharacteristic, complemented
979#496—731no—
980#495—731no—
981#495—731no—
982#495—731no—
983#493—731no—
984#490—731no—
985#489—731no—
986#488—731no—
987#488—731no—
988#488—731no—
989#487—731no—
990#484—731no—
991#484—731no—
992#483—731no—
993#482—731no—
994#482—731no—
995#481—731no—
996#479—731no—
997#479—731no—
998#479—731no—
999#479—731no—
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#476—731no—
1005#474—731no—
1006#470C2×D7311yescharacteristic, complemented
1007#469—731no—
1008#469—731no—
1009#468—731no—
1010#468—731no—
1011#468—731no—
1012#468—731no—
1013#468—731no—
1014#466—731no—
1015#465—731no—
1016#465—731no—
1017#465C2×D7311yescharacteristic, complemented
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#463C2×D7311yescharacteristic, complemented
1034#462—731no—
1035#461—731no—
1036#461—731no—
1037#461—731no—
1038#461—731no—
1039#461C2×D7311yescharacteristic, complemented
1040#460—731no—
1041#460—731no—
1042#460—731no—
1043#460—731no—
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452C2×D7311yescharacteristic
1052#452C2×D7311yescharacteristic, complemented
1053#451—731no—
1054#450C2×D7311yescharacteristic, complemented
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449C2×D7311yescharacteristic, complemented
1060#448—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447—731no—
1066#446—731no—
1067C8×Q8—731no—
1068#442—731no—
1069#442C2×D7311yescharacteristic, complemented
1070#441—731no—
1071#440—731no—
1072C4×Q16—731no—
1073C4×SD16—731no—
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×D8—731no—
1077C4×D8—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#436—731no—
1081#436—731no—
1082#436—731no—
1083#435—731no—
1084#435C2×D7311yescharacteristic, complemented
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
1088#431—731no—
1089#424—731no—
1090#424—731no—
1091#423—731no—
1092#419—731no—
1093#417—731no—
1094#417—731no—
1095#417—731no—
1096#416—731no—
1097C2×#102—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—1461no—
1101C2×#41C22×D7311yescharacteristic
1102C2×#41C22×D7311yescharacteristic
1103C2×#41C22×D7311yescharacteristic
1104C22×Q8—731no—
1105C22×D4—731no—
1106C22×D4—731no—
1107C22×D4—1461no—
1108C22×D4C22×D7311yescharacteristic
1109C23×C4—1461no—
1110AGL(1,ℤ/8)—42no—
1111AGL(1,ℤ/8)—2922no—
1112AGL(1,ℤ/8)—2922no—
1113AGL(1,ℤ/8)—2922no—
1114#135—42no—
1115C2×Q16—731no—
1116C2×Q16C22×D7311yescharacteristic
1117C2×Q16C22×D7311yescharacteristic
1118C2×SD16—2922no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16C22×D7311yescharacteristic
1127C2×SD16C22×D7311yescharacteristic
1128C2×SD16C22×D7311yescharacteristic
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16—731no—
1143C2×M16C22×D7311yescharacteristic
1144C22×C8—731no—
1145C22×C8C22×D7311yescharacteristic
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8C22×D7311yescharacteristic
1149#127—731no—
1150#127—731no—
1151#127—731no—
1152#127—1461no—
1153#126—731no—
1154#126—731no—
1155#126—1461no—
1156#126—1461no—
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#125—731no—
1165#125—731no—
1166#125—731no—
1167#125—731no—
1168#125—1461no—
1169#125—1461no—
1170#125—1461no—
1171#124—731no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124C22×D7311yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—731no—
1188#123—731no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209C22⋊Q8—731no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—1461no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8C22×D7311yescharacteristic
1223C22⋊Q8C22×D7311yescharacteristic
1224C22⋊Q8C22×D7311yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—731no—
1233#121—731no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121C22×D7311yescharacteristic
1252#120—21no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4C22×D7311yescharacteristic
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—731no—
1297#117—731no—
1298#117—731no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117—1461no—
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—731no—
1306C2×C4⋊C4—731no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4—1461no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C22⋊C4—1461no—
1316C2×C42—731no—
1317#107—731no—
1318#107—731no—
1319#107—731no—
1320#107—731no—
1321#106—731no—
1322#106—731no—
1323#106—731no—
1324#106C22×D7311yescharacteristic
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8—731no—
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103—731no—
1346#103C22×D7311yescharacteristic
1347#103C22×D7311yescharacteristic
1348#103C22×D7311yescharacteristic
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8C22×D7311yescharacteristic
1372C22⋊C8C22×D7311yescharacteristic
1373#97—731no—
1374#97C22×D7311yescharacteristic
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8—731no—
1378C4×C8—731no—
1379C24—21no—
1380C24—1461no—
1381C24—1461no—
1382#41—22no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—2921no—
1392#41—5842no—
1393C2×Q8—2921no—
1394C2×Q8—2921no—
1395C2×Q8—731no—
1396C2×Q8—731no—
1397C2×Q8—1461no—
1398C2×Q8—1461no—
1399C2×Q8C23×D7311yescharacteristic
1400C2×Q8C23×D7311yescharacteristic
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—41no—
1409C2×D4—2921no—
1410C2×D4—2921no—
1411C2×D4—2921no—
1412C2×D4—5842no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1462no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4D4×D7311yescharacteristic
1436C2×D4C23×D7311yescharacteristic
1437C2×D4C23×D7311yescharacteristic
1438C2×D4C23×D7311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—5842no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4C23×D7311yescharacteristic
1463C22×C4C23×D7311yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—2921no—
1467SD16—22no—
1468SD16—22no—
1469SD16—41no—
1470SD16—41no—
1471SD16—41no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—2921no—
1478SD16—1462no—
1479D8—22no—
1480D8—41no—
1481D8—2921no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—2921no—
1486D8—1462no—
1487D8—1462no—
1488M16—41no—
1489M16—2921no—
1490M16—2921no—
1491M16—2921no—
1492C2×C8—41no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—731no—
1519C4⋊C4—731no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4D4×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4D4×D7311yescharacteristic
1588C22⋊C4D4×D7311yescharacteristic
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—731no—
1593C42—731no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—42no—
1605C23—42no—
1606C23—81no—
1607C23—2922no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—5841no—
1613C23—731no—
1614C23—1461no—
1615C23—1461no—
1616C23—1461no—
1617C23C2×D4×D7311yescharacteristic
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—2921no—
1626Q8—5841no—
1627Q8—5841no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—42no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—2922no—
1642D4—2922no—
1643D4—2921no—
1644D4—2921no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—1461no—
1660D4—1461no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665D4#1455663612yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—2922no—
1681C2×C4—2921no—
1682C2×C4—2921no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—5841no—
1695C2×C4—5841no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—731no—
1702C2×C4—731no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—22no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—84no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—2921no—
1746C22—2921no—
1747C22—2921no—
1748C22—11682no—
1749C22—11682no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—2921no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4C2×#1455663611yescharacteristic
1776C4#1798942211yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—2921no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359111yescharacteristic
1787C2#2262470311yescharacteristic
1788C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3267C2
socleC22×C73C23×D4
hypercenter#3267D73
hypocenterC73#62027
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #22624524C2semidirect
2. #22623872C2semidirect
3. #22622996C2semidirect
4. #22622938C2semidirect
5. #22622689C2semidirect
6. #22622584C2semidirect
7. #22622236C2semidirect
8. #22622194C2semidirect
9. #22622177C2semidirect
10. #22622050C2semidirect
11. #22621894C2semidirect
12. #22621787C2semidirect
13. #22621632C2semidirect
14. #22621545C2semidirect
15. #22621538C2semidirect
16. #22621535C2semidirect
17. #22621424C2semidirect
18. #22621371C2semidirect
19. #22621347C2semidirect
20. #22621333C2semidirect
21. #22621035C2semidirect
22. #22620979C2semidirect
23. #22620910C2semidirect
24. #22620173C2semidirect
25. #22620138C2semidirect
26. #22619979C2semidirect
27. #22619468C2semidirect
28. #22619438C2semidirect
29. #22619392C2semidirect
30. #22619073C2semidirect
31. C73×#3267C2semidirect
35. C2×SD16×D73C22semidirect
38. #17989320C22semidirect
39. #17989319C22semidirect
40. #17989311C22semidirect
41. #17989294C22semidirect
45. #17989279C22semidirect
51. #17989244C22semidirect
53. #17989233C22semidirect
54. #17989228C22semidirect
57. D4×C22⋊D73C22semidirect
58. #17989206C22semidirect
59. #17989197C22semidirect
62. #17989188C22semidirect
68. #17989162C22semidirect
69. #17989151C22semidirect
70. #17989133C22semidirect
71. #17989123C22semidirect
72. #17989123C22semidirect
77. #17989059C22semidirect
78. C2×D4×Dic73C22semidirect
80. #17988972C22semidirect
81. #17988969C22semidirect
82. #17988968C22semidirect
84. #17988950C22semidirect
85. #17988947C22semidirect
86. #17988943C22semidirect
87. #17988943C22semidirect
88. #17988940C22semidirect
89. #17988937C22semidirect
90. #17988920C22semidirect
91. #17988920C22semidirect
92. #17988918C22semidirect
93. #17988913C22semidirect
94. #17988910C22semidirect
95. #17988906C22semidirect
96. #17988897C22semidirect
97. #17988892C22semidirect
98. #17988892C22semidirect
99. #17988892C22semidirect
100. #17988889C22semidirect
101. #17988889C22semidirect
102. #17988886C22semidirect
103. #17988886C22semidirect
104. #17988878C22semidirect
105. #17988867C22semidirect
107. #17988837C22semidirect
108. #17988836C22semidirect
109. #17988835C22semidirect
110. #17988835C22semidirect
111. #17988835C22semidirect
112. #17988831C22semidirect
114. #17988816C22semidirect
115. #17988813C22semidirect
116. #17988811C22semidirect
117. #17988811C22semidirect
118. #17988811C22semidirect
119. #17988805C22semidirect
120. #17988805C22semidirect
124. #17988804C22semidirect
125. #17988804C22semidirect
126. #17988803C22semidirect
128. #17988800C22semidirect
129. #17988800C22semidirect
130. #17988799C22semidirect
131. #17988795C22semidirect
132. #17988791C22semidirect
133. #17988790C22semidirect
134. #17988790C22semidirect
135. #17988789C22semidirect
136. #17988786C22semidirect
137. #17988785C22semidirect
138. #17988785C22semidirect
139. #17988785C22semidirect
140. #17988781C22semidirect
143. #17988780C22semidirect
145. #17988748C22semidirect
146. #17988747C22semidirect
147. #17988741C22semidirect
149. #17988732C22semidirect
150. #17988732C22semidirect
152. #17988724C22semidirect
153. #17988723C22semidirect
156. #17988720C22semidirect
157. #17988719C22semidirect
158. #17988715C22semidirect
159. #17988711C22semidirect
160. #17988700C22semidirect
161. #17988694C22semidirect
162. #17988684C22semidirect
163. #17988679C22semidirect
164. SD16×Dic73C22semidirect
165. SD16×Dic73C22semidirect
166. SD16×Dic73C22semidirect
168. C4×#11924013C22semidirect
170. #17988667C22semidirect
171. #17988665C22semidirect
172. #17988663C22semidirect
173. #17988662C22semidirect
174. #17988661C22semidirect
175. C8×C22⋊D73C22semidirect
176. #17988649C22semidirect
177. #17988645C22semidirect
178. #17988637C22semidirect
179. #17988613C22semidirect
180. #17988612C22semidirect
181. #17988610C22semidirect
182. #17988594C22semidirect
183. #17988589C22semidirect
184. #17988588C22semidirect
185. #17988588C22semidirect
186. #17988582C22semidirect
187. C2×#14556513C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
190. #547×C73C22semidirect
192. #497×C73C22semidirect
193. #470×C73C22semidirect
194. #465×C73C22semidirect
195. #463×C73C22semidirect
196. #461×C73C22semidirect
198. #452×C73C22semidirect
199. #450×C73C22semidirect
200. #449×C73C22semidirect
201. #442×C73C22semidirect
202. #435×C73C22semidirect
911. #3267D73semidirect
926. C73#62027semidirect
930. C2×AGL(1,ℤ/8)C2×D73semidirect
950. #547C2×D73semidirect
978. #497C2×D73semidirect
1006. #470C2×D73semidirect
1017. #465C2×D73semidirect
1033. #463C2×D73semidirect
1039. #461C2×D73semidirect
1052. #452C2×D73semidirect
1054. #450C2×D73semidirect
1059. #449C2×D73semidirect
1069. #442C2×D73semidirect
1084. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245242
#226238722
#226229962
#226229382
#226226892
#226225842
#226222362
#226221942
#226221772
#226220502
#226218942
#226217872
#226216322
#226215452
#226215382
#226215352
#226214242
#226213712
#226213472
#226213332
#226210352
#226209792
#226209102
#226201732
#226201382
#226199792
#226194682
#226194382
#226193922
#226190732
C73×#32672
#6202773