Finite Group Databasebeta

← #33969080

Subgroups — #33969080

Order 18688.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623941C211yesmaximal, characteristic, complemented
2#22623872C211yesmaximal, characteristic, complemented
3#22623001C211yesmaximal, characteristic, complemented
4#22622845C211yesmaximal, characteristic, complemented
5#22622763C211yesmaximal, characteristic, complemented
6#22622742C211yesmaximal, characteristic, complemented
7#22622509C211yesmaximal, characteristic, complemented
8#22622464C211yesmaximal, characteristic, complemented
9#22622424C211yesmaximal, characteristic, complemented
10#22622194C211yesmaximal, characteristic, complemented
11#22622158C211yesmaximal, characteristic, complemented
12#22622108C211yesmaximal, characteristic, complemented
13#22622083C211yesmaximal, characteristic, complemented
14#22621924C211yesmaximal, characteristic, complemented
15#22621558C211yesmaximal, characteristic, complemented
16#22621439C211yesmaximal, characteristic, complemented
17#22621424C211yesmaximal, characteristic, complemented
18#22620609C211yesmaximal, characteristic, complemented
19#22620569C211yesmaximal, characteristic, complemented
20#22620532C211yesmaximal, characteristic, complemented
21#22620218C211yesmaximal, characteristic, complemented
22#22620194C211yesmaximal, characteristic, complemented
23#22620159C211yesmaximal, characteristic, complemented
24#22620120C211yesmaximal, characteristic, complemented
25#22620043C211yesmaximal, characteristic, complemented
26#22620025C211yesmaximal, characteristic, complemented
27#22618910C211yesmaximal, characteristic, complemented
28#22618787C211yesmaximal, characteristic, complemented
29#22618777C211yesmaximal, characteristic, complemented
30#22618735C211yesmaximal, characteristic, complemented
31C73×#3311C211yesmaximal, characteristic, complemented
32C2×#14556621C2211yescharacteristic
33C2×#14556617C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989319C2211yescharacteristic
36#17989317C2211yescharacteristic, complemented
37#17989309—21no—
38#17989309C2211yescharacteristic, complemented
39#17989305C2211yescharacteristic
40#17989304—21no—
41#17989304—21no—
42#17989300C2211yescharacteristic, complemented
43#17989299—21no—
44#17989294C2211yescharacteristic
45#17989289—21no—
46#17989289C2211yescharacteristic
47#17989279C2211yescharacteristic
48#17989263—21no—
49#17989260—21no—
50#17989250C2211yescharacteristic, complemented
51#17989247C2211yescharacteristic
52#17989246C2211yescharacteristic, complemented
53#17989241C2211yescharacteristic
54#17989225C2211yescharacteristic
55#17989224—21no—
56D4×C22⋊D73C2211yescharacteristic
57#17989211C2211yescharacteristic, complemented
58#17989210C2211yescharacteristic, complemented
59#17989206C2211yescharacteristic
60#17989203—21no—
61#17989201—21no—
62#17989190C2211yescharacteristic
63#17989181—21no—
64#17989174—21no—
65#17989141—21no—
66#17989139C2211yescharacteristic, complemented
67#17989123C2211yescharacteristic
68#17989120—21no—
69#17989117C2211yescharacteristic
70#17989093—21no—
71C2×#14556575—21no—
72#17989070C2211yescharacteristic
73#17989064C2211yescharacteristic, complemented
74#17989063C2211yescharacteristic, complemented
75#17989059C2211yescharacteristic
76#17989055C2211yescharacteristic, complemented
77C2×D4×Dic73C2211yescharacteristic
78#17988994C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988990C2211yescharacteristic, complemented
81#17988980C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic
83#17988969C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988931C2211yescharacteristic, complemented
90#17988927C2211yescharacteristic, complemented
91#17988923C2211yescharacteristic, complemented
92#17988920C2211yescharacteristic, complemented
93#17988920C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic
96#17988911C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic
98#17988901C2211yescharacteristic, complemented
99#17988897C2211yescharacteristic, complemented
100#17988897C2211yescharacteristic, complemented
101#17988893C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic, complemented
103#17988883C2211yescharacteristic, complemented
104#17988880C2211yescharacteristic, complemented
105#17988872C2211yescharacteristic, complemented
106#17988865C2211yescharacteristic
107#17988865C2211yescharacteristic
108#17988865C2211yescharacteristic, complemented
109#17988864C2211yescharacteristic, complemented
110#17988843C2211yescharacteristic, complemented
111#17988838C2211yescharacteristic, complemented
112#17988836C2211yescharacteristic, complemented
113#17988835C2211yescharacteristic
114#17988835C2211yescharacteristic, complemented
115#17988833C2211yescharacteristic
116#17988832C2211yescharacteristic
117#17988827C2211yescharacteristic, complemented
118#17988823C2211yescharacteristic, complemented
119#17988822C2211yescharacteristic
120#17988812C2211yescharacteristic, complemented
121#17988811C2211yescharacteristic, complemented
122#17988806C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic
125#17988803C2211yescharacteristic, complemented
126#17988802C2211yescharacteristic
127#17988790C2211yescharacteristic
128#17988790C2211yescharacteristic, complemented
129#17988786C2211yescharacteristic
130#17988786C2211yescharacteristic
131#17988747C2211yescharacteristic, complemented
132#17988741C2211yescharacteristic, complemented
133#17988739C2211yescharacteristic
134#17988738C2211yescharacteristic
135#17988734C2211yescharacteristic
136#17988732C2211yescharacteristic
137#17988728C2211yescharacteristic, complemented
138#17988725C2211yescharacteristic, complemented
139#17988724C2211yescharacteristic
140#17988722C2211yescharacteristic
141#17988715C2211yescharacteristic, complemented
142#17988714C2211yescharacteristic, complemented
143#17988698C2211yescharacteristic, complemented
144#17988696C2211yescharacteristic
145#17988696C2211yescharacteristic, complemented
146#17988691C2211yescharacteristic, complemented
147#17988691C2211yescharacteristic, complemented
148#17988690C2211yescharacteristic, complemented
149#17988689C2211yescharacteristic, complemented
150#17988688C2211yescharacteristic
151#17988688C2211yescharacteristic, complemented
152#17988686C2211yescharacteristic, complemented
153#17988684C2211yescharacteristic
154#17988684C2211yescharacteristic
155#17988684C2211yescharacteristic
156#17988684C2211yescharacteristic, complemented
157#17988684C2211yescharacteristic, complemented
158Q16×Dic73C2211yescharacteristic, complemented
159#17988679C2211yescharacteristic, complemented
160#17988679C2211yescharacteristic, complemented
161#17988678C2211yescharacteristic
162#17988678C2211yescharacteristic
163#17988678C2211yescharacteristic, complemented
164C4×#11924015C2211yescharacteristic, complemented
165#17988674C2211yescharacteristic, complemented
166C4×#11924016C2211yescharacteristic
167#17988672C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic
169#17988667C2211yescharacteristic, complemented
170#17988665C2211yescharacteristic, complemented
171#17988663C2211yescharacteristic
172#17988661C2211yescharacteristic
173#17988661C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988630C2211yescharacteristic, complemented
179#17988630C2211yescharacteristic, complemented
180#17988624C2211yescharacteristic, complemented
181#17988594C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988589C2211yescharacteristic, complemented
184C2×#14556516C2211yescharacteristic, complemented
185#17988544C2211yescharacteristic, complemented
186#17988542C2211yescharacteristic, complemented
187M16×Dic73C2211yescharacteristic, complemented
188#556×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic
194#470×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic
202#416×C73C2211yescharacteristic
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C22×Dic146C2311yescharacteristic
206C2×Q8×D73C2311yescharacteristic
207C22×C22⋊D73—21no—
208C2×D4×D73C2311yescharacteristic
209C23×Dic73—21no—
210#14556621—24no—
211#14556617—24no—
212C2×#11924018C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924017C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924016C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222SD16×D73—24no—
223C2×D584C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924012C2311yescharacteristic
227C2×#11924012C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230#14556591C2311yescharacteristic
231#14556590—21no—
232#14556590—21no—
233#14556590C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556589—21no—
236#14556589—21no—
237#14556589C2311yescharacteristic
238#14556587C2311yescharacteristic
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556586D411yescharacteristic
245#14556585—21no—
246#14556585—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584D411yescharacteristic
251#14556582—21no—
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556581—21no—
255#14556581D411yescharacteristic
256#14556580—21no—
257#14556580C2311yescharacteristic
258#14556580C2311yescharacteristic
259#14556579—21no—
260#14556579C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577D411yescharacteristic
269#14556576—21no—
270#14556575—21no—
271#14556575—21no—
272#14556575—21no—
273#14556575—21no—
274#14556575—21no—
275#14556575—21no—
276#14556575—21no—
277#14556575—21no—
278#14556575D411yescharacteristic
279#14556574—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556572D411yescharacteristic
284#14556571—21no—
285#14556571—21no—
286#14556571C2311yescharacteristic
287#14556570—21no—
288#14556570C2311yescharacteristic
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568D411yescharacteristic
299#14556567—21no—
300#14556567C2311yescharacteristic
301#14556566C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556564—21no—
306#14556564—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563D411yescharacteristic
313#14556562—21no—
314#14556562C2311yescharacteristic
315#14556560—21no—
316#14556559—21no—
317#14556559—21no—
318Q8×Dic73C2311yescharacteristic
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321C4×Dic146—21no—
322C4×Dic146—21no—
323C4×Dic146—21no—
324C4×Dic146—21no—
325C4×Dic146C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327#14556556—21no—
328#14556556—21no—
329#14556556—21no—
330#14556556C2311yescharacteristic
331#14556556C2311yescharacteristic
332#14556556C2311yescharacteristic
333#14556556C2311yescharacteristic
334#14556556C2311yescharacteristic
335C4×D292C2311yescharacteristic
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73—21no—
339D4×Dic73—21no—
340D4×Dic73—21no—
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346#14556553—21no—
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
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#14556551—21no—
360#14556550—21no—
361#14556550C2311yescharacteristic
362#14556549—21no—
363#14556549—21no—
364#14556549C2311yescharacteristic
365#14556549C2311yescharacteristic
366#14556548—21no—
367#14556548—21no—
368#14556548—21no—
369#14556548—21no—
370#14556548C2311yescharacteristic
371#14556547—21no—
372#14556547—21no—
373#14556547—21no—
374#14556547—21no—
375C2×C4⋊Dic73—21no—
376C2×C4⋊Dic73—21no—
377C2×C4⋊Dic73C2311yescharacteristic
378C2×C4⋊Dic73C2311yescharacteristic
379C2×C22⋊Dic73—21no—
380C2×#11924005—21no—
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C2×C4×Dic73C2311yescharacteristic
384C42×D73—21no—
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440C2×Q16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#126×C73—21no—
447#126×C73—21no—
448#124×C73—21no—
449#124×C73C2311yescharacteristic
450#123×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454#121×C73—21no—
455#121×C73C2311yescharacteristic
456#120×C73—21no—
457C4×Q8×C73—21no—
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924028—22no—
483#11924028—41no—
484#11924027—82no—
485C2×Dic146—22no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—41no—
492C2×Dic146C2×D411yescharacteristic
493C2×Dic146C2411yescharacteristic
494C2×Dic146C2411yescharacteristic
495Q8×D73—22no—
496Q8×D73—41no—
497C2×D292—21no—
498C2×D292C2411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—82no—
509C2×C22⋊D73C2×D411yescharacteristic
510C2×C22⋊D73C2×D411yescharacteristic
511D4×D73—22no—
512D4×D73—41no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—82no—
522C22×Dic73C2×D411yescharacteristic
523C22×Dic73C2×D411yescharacteristic
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73C2411yescharacteristic
531#11924018—22no—
532#11924018—22no—
533#11924017—22no—
534#11924017—41no—
535#11924016—22no—
536#11924016—22no—
537#11924016—41no—
538#11924016#4114yescomplemented
539#11924015—22no—
540#11924015—41no—
541D584—41no—
542#11924013—22no—
543#11924013—22no—
544#11924012—22no—
545#11924012—22no—
546#11924011—41no—
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C2×#10596831C2411yescharacteristic
550C2×#10596831C2411yescharacteristic
551C8×D73—22no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73C2×D411yescharacteristic
562C4⋊Dic73C2×D411yescharacteristic
563C4⋊Dic73C2×D411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73C2×D411yescharacteristic
596C22⋊Dic73C2×D411yescharacteristic
597C22⋊Dic73C2×D411yescharacteristic
598C22⋊Dic73C2×D411yescharacteristic
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005C2×D411yescharacteristic
618#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2411yescharacteristic
635C4×Dic73C2411yescharacteristic
636C4×Dic73C2411yescharacteristic
637C24×C73—21no—
638#41×C73—22no—
639#41×C73—41no—
640C2×Q8×C73—21no—
641C2×Q8×C73C2411yescharacteristic
642C2×Q8×C73C2411yescharacteristic
643C2×D4×C73—22no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—41no—
648C2×D4×C73C2×D411yescharacteristic
649C2×D4×C73C2411yescharacteristic
650C2×D4×C73C2411yescharacteristic
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73C2411yescharacteristic
654C22×C4×C73C2411yescharacteristic
655Q16×C73—41no—
656SD16×C73—22no—
657SD16×C73—41no—
658M16×C73—41no—
659C2×C8×C73—41no—
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73C2×D411yescharacteristic
670C4⋊C4×C73C2411yescharacteristic
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C22⋊C4×C73—21no—
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73C2×D411yescharacteristic
684C22⋊C4×C73C2×D411yescharacteristic
685C42×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73—42no—
692C23×C73—42no—
693C23×C73—81no—
694C23×C73C22×D411yescharacteristic
695C23×C73C22×D411yescharacteristic
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—81no—
700C22×D73—81no—
701C22×D73C22×D411yescharacteristic
702Q8×C73—21no—
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—81no—
707D4×C73—21no—
708D4×C73—21no—
709D4×C73—21no—
710D4×C73—41no—
711D4×C73—42no—
712D4×C73—42no—
713D4×C73—81no—
714D4×C73C2×#4112yes—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—42no—
726C2×C4×C73—81no—
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C2511yescharacteristic
732C22⋊D73—41no—
733C22⋊D73—41no—
734C22⋊D73—42no—
735C22⋊D73—42no—
736C22⋊D73—42no—
737C22⋊D73—81no—
738C22⋊D73—81no—
739C22⋊D73—81no—
740C22⋊D73—81no—
741C22⋊D73—81no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—41no—
749C2×Dic73—41no—
750C2×Dic73—42no—
751C2×Dic73—42no—
752C2×Dic73—81no—
753C2×Dic73—81no—
754C2×Dic73—81no—
755C2×Dic73—81no—
756C2×Dic73—81no—
757C2×Dic73—81no—
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765D292—21no—
766D292—21no—
767D292—21no—
768D292—21no—
769D292—81no—
770C4×D73—21no—
771C4×D73—21no—
772C4×D73—42no—
773C4×D73—42no—
774C4×D73—42no—
775C4×D73—81no—
776C4×D73—81no—
777C4×D73—81no—
778Dic146—21no—
779Dic146—21no—
780Dic146—21no—
781Dic146—41no—
782Dic146—42no—
783Dic146—42no—
784Dic146—81no—
785Dic146—81no—
786Dic146—81no—
787Dic146C2×#4112yes—
788C8×C73—21no—
789C8×C73—21no—
790C8×C73—21no—
791C8×C73—21no—
792#10596831—21no—
793#10596831—21no—
794#10596831—21no—
795#10596831C2×#4112yes—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—21no—
799C22×C73—21no—
800C22×C73—21no—
801C22×C73—21no—
802C22×C73—22no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73—41no—
806C22×C73—41no—
807C22×C73—41no—
808C22×C73—84no—
809C22×C73C23×D411yescharacteristic
810C2×D73—21no—
811C2×D73—21no—
812C2×D73—21no—
813C2×D73—41no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—162no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—41no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73C22×#4111yescharacteristic
831C4×C73#58511yescharacteristic
832Dic73—21no—
833Dic73—21no—
834Dic73—21no—
835Dic73—21no—
836Dic73—21no—
837Dic73—21no—
838Dic73—22no—
839Dic73—21no—
840Dic73—41no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845#61503—731nomaximal, Sylow
846C2×C73—42no—
847C2×C73—41no—
848C2×C73—41no—
849C2×C73—81no—
850C2×C73D4×#4111yescharacteristic
851C2×C73#358511yescharacteristic
852C2×C73#358611yescharacteristic
853D73—41no—
854D73—81no—
855D73—81no—
856#3518—731no—
857#3513—731no—
858#3401—731no—
859#3385—731no—
860#3376—731no—
861#3375—731no—
862#3353—731no—
863#3349—731no—
864#3347—731no—
865#3327—731no—
866#3324—731no—
867#3320—731no—
868#3319—731no—
869#3311D7311yescharacteristic, complemented
870#3308—731no—
871#3275—731no—
872#3266—731no—
873#3265—731no—
874#3179—731no—
875#3175—731no—
876#3172—731no—
877#3126—731no—
878#3124—731no—
879#3121—731no—
880#3118—731no—
881#3111—731no—
882#3110—731no—
883#2967—731no—
884#2949—731no—
885#2947—731no—
886C4×AGL(1,ℤ/8)—731no—
887C73#6150311yescharacteristic, complemented, Sylow
888C2×#137—731no—
889C2×AGL(1,ℤ/8)—731no—
890C22×SD16—731no—
891#559—731no—
892Q82—731no—
893#556—731no—
894#556—731no—
895#556—1461no—
896#556—1461no—
897#556—1461no—
898#556C2×D7311yescharacteristic, complemented
899#555—731no—
900#555—1461no—
901#554—731no—
902#553—731no—
903#553—1461no—
904#552—731no—
905#551—1461no—
906#551—1461no—
907D4×Q8—731no—
908#548—731no—
909#548—731no—
910#547—731no—
911#546—731no—
912#546—1461no—
913#546C2×D7311yescharacteristic
914D42—731no—
915#542—731no—
916#542—731no—
917#542—731no—
918#542—1461no—
919#542—1461no—
920#540—731no—
921#539—1461no—
922#538—1461no—
923#533—731no—
924#533—1461no—
925#529—731no—
926#529—731no—
927#529—1461no—
928#525—1461no—
929C2×#123—1461no—
930#520—731no—
931#519—731no—
932#519—731no—
933#518—731no—
934C4×#41—731no—
935C2×C4×D4—731no—
936#501—731no—
937#501—731no—
938#500—731no—
939#497—731no—
940#496—731no—
941#495—731no—
942#491—731no—
943#489—731no—
944#489—731no—
945#489C2×D7311yescharacteristic, complemented
946#488—731no—
947#486—731no—
948#485—731no—
949#485—731no—
950#485C2×D7311yescharacteristic, complemented
951#484—731no—
952#484—731no—
953#484—731no—
954#482—731no—
955#482—731no—
956#482—731no—
957#482—731no—
958#482C2×D7311yescharacteristic, complemented
959#480—731no—
960#479—731no—
961#479—731no—
962#479—731no—
963#478—731no—
964#477—731no—
965#477—731no—
966#476C2×D7311yescharacteristic
967#475—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#474—731no—
972#470—731no—
973#470C2×D7311yescharacteristic, complemented
974#469—731no—
975#468—731no—
976#468—731no—
977#468—731no—
978#468—731no—
979#468—731no—
980#467—731no—
981#466—731no—
982#466—731no—
983#465C2×D7311yescharacteristic, complemented
984#464—731no—
985#464—731no—
986#464—731no—
987#464C2×D7311yescharacteristic, complemented
988#463—731no—
989#463—731no—
990#463—731no—
991#463—731no—
992#461—731no—
993#461—731no—
994#460—731no—
995#460—731no—
996#452—731no—
997#452C2×D7311yescharacteristic
998#451—731no—
999#450—731no—
1000#450—731no—
1001#450C2×D7311yescharacteristic
1002#449—731no—
1003#449—731no—
1004#448—731no—
1005#448—731no—
1006#448—731no—
1007#447—731no—
1008#446—731no—
1009#446—731no—
1010#442—731no—
1011#442—731no—
1012#442—731no—
1013#441—731no—
1014#441—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025#440C2×D7311yescharacteristic
1026C4×Q16—731no—
1027C4×Q16—731no—
1028C4×Q16—731no—
1029C4×SD16—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16—731no—
1034C4×SD16—731no—
1035C4×SD16—731no—
1036C4×D8—731no—
1037C4×D8—731no—
1038#436—731no—
1039#436—731no—
1040#435—731no—
1041#435—731no—
1042#435—731no—
1043#435C2×D7311yescharacteristic, complemented
1044#433—731no—
1045#433—731no—
1046#432—731no—
1047#428—731no—
1048#428—731no—
1049#427—731no—
1050#419—731no—
1051#418—731no—
1052#418C2×D7311yescharacteristic
1053#417—731no—
1054#416C2×D7311yescharacteristic
1055C2×#103—731no—
1056#405—731no—
1057#405—731no—
1058C4×M16—731no—
1059C2×#41—731no—
1060C2×#41—1461no—
1061C2×#41C22×D7311yescharacteristic
1062C22×Q8—731no—
1063C22×Q8—731no—
1064C22×D4—731no—
1065C22×D4—1461no—
1066C22×D4C22×D7311yescharacteristic
1067C23×C4—1461no—
1068#137—1464no—
1069AGL(1,ℤ/8)—1464no—
1070C2×Q16—731no—
1071C2×Q16—731no—
1072C2×Q16C22×D7311yescharacteristic
1073C2×SD16—731no—
1074C2×SD16—731no—
1075C2×SD16—731no—
1076C2×SD16—731no—
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—1464no—
1082C2×SD16C22×D7311yescharacteristic
1083C2×SD16C22×D7311yescharacteristic
1084C2×D8—731no—
1085C2×D8—731no—
1086C2×D8—731no—
1087C2×M16—731no—
1088C2×M16—731no—
1089C2×M16—731no—
1090C2×M16C22×D7311yescharacteristic
1091C22×C8—731no—
1092C22×C8C22×D7311yescharacteristic
1093C4⋊Q8—731no—
1094C4⋊Q8—731no—
1095C4⋊Q8—731no—
1096C4⋊Q8—731no—
1097C4⋊Q8—1461no—
1098C4⋊Q8—1461no—
1099C4⋊Q8—1461no—
1100C4⋊Q8—1461no—
1101C4⋊Q8C22×D7311yescharacteristic
1102#127—731no—
1103#126—21no—
1104#126—21no—
1105#126—731no—
1106#126—731no—
1107#126—1461no—
1108#126—1461no—
1109#126—1461no—
1110#126—1461no—
1111#126—1461no—
1112#126—1461no—
1113#126—1461no—
1114#126—1461no—
1115#126—1461no—
1116#126—1461no—
1117#125—731no—
1118#125—731no—
1119#125—731no—
1120#125—1461no—
1121#125—1461no—
1122#124—21no—
1123#124—731no—
1124#124—731no—
1125#124—731no—
1126#124—731no—
1127#124—1461no—
1128#124—1461no—
1129#124—1461no—
1130#124—1461no—
1131#124—1461no—
1132#124—1461no—
1133#124—1461no—
1134#124—1461no—
1135#124—1461no—
1136#124C22×D7311yescharacteristic
1137#123—21no—
1138#123—731no—
1139#123—731no—
1140#123—1461no—
1141#123—1461no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153C22⋊Q8—731no—
1154C22⋊Q8—731no—
1155C22⋊Q8—731no—
1156C22⋊Q8—731no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8C22×D7311yescharacteristic
1171C22⋊Q8C22×D7311yescharacteristic
1172C22⋊Q8C22×D7311yescharacteristic
1173#121—21no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121C22×D7311yescharacteristic
1189#120—21no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193C4×Q8—21no—
1194C4×Q8—731no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—731no—
1204C4×Q8—1461no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8—1461no—
1209C4×Q8—1461no—
1210C4×Q8—1461no—
1211C4×Q8C22×D7311yescharacteristic
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4C22×D7311yescharacteristic
1238C4×D4C22×D7311yescharacteristic
1239#117—731no—
1240#117—731no—
1241#117—731no—
1242#117—731no—
1243#117—1461no—
1244#117—1461no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249#117—1461no—
1250#117—1461no—
1251#117—1461no—
1252#117—1461no—
1253#117—1461no—
1254#117C22×D7311yescharacteristic
1255#117C22×D7311yescharacteristic
1256C2×C4⋊C4—731no—
1257C2×C4⋊C4—731no—
1258C2×C4⋊C4—1461no—
1259C2×C4⋊C4—1461no—
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—1461no—
1262C2×C22⋊C4—1461no—
1263C2×C22⋊C4—1461no—
1264C2×C22⋊C4—1461no—
1265C2×C42—731no—
1266C2×C42—1461no—
1267#107—731no—
1268#107—731no—
1269#107—731no—
1270#107—731no—
1271#107—731no—
1272#107—731no—
1273#107—731no—
1274#107—731no—
1275#107—731no—
1276#107C22×D7311yescharacteristic
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106—731no—
1281#106C22×D7311yescharacteristic
1282#106C22×D7311yescharacteristic
1283C4⋊C8—731no—
1284C4⋊C8—731no—
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8—731no—
1288C4⋊C8C22×D7311yescharacteristic
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103C22×D7311yescharacteristic
1302#103C22×D7311yescharacteristic
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102C22×D7311yescharacteristic
1316#102C22×D7311yescharacteristic
1317#102C22×D7311yescharacteristic
1318#102C22×D7311yescharacteristic
1319#102C22×D7311yescharacteristic
1320#102C22×D7311yescharacteristic
1321C22⋊C8—731no—
1322C22⋊C8—731no—
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8C22×D7311yescharacteristic
1326C22⋊C8C22×D7311yescharacteristic
1327#97—731no—
1328#97—731no—
1329#97—731no—
1330#97—731no—
1331#97—731no—
1332#97C22×D7311yescharacteristic
1333C4×C8—731no—
1334C4×C8—731no—
1335C4×C8—731no—
1336C4×C8—731no—
1337C24—21no—
1338C24—1461no—
1339#41—22no—
1340#41—41no—
1341#41—2921no—
1342#41—5842no—
1343#41—1462no—
1344C2×Q8—21no—
1345C2×Q8—2921no—
1346C2×Q8—2921no—
1347C2×Q8—731no—
1348C2×Q8—731no—
1349C2×Q8—731no—
1350C2×Q8—1462no—
1351C2×Q8—1461no—
1352C2×Q8—1461no—
1353C2×Q8—1461no—
1354C2×Q8—1462no—
1355C2×Q8—1461no—
1356C2×Q8—1461no—
1357C2×Q8C23×D7311yescharacteristic
1358C2×Q8C23×D7311yescharacteristic
1359C2×D4—22no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—41no—
1364C2×D4—2921no—
1365C2×D4—5842no—
1366C2×D4—731no—
1367C2×D4—731no—
1368C2×D4—731no—
1369C2×D4—731no—
1370C2×D4—1461no—
1371C2×D4—1461no—
1372C2×D4—1461no—
1373C2×D4—1461no—
1374C2×D4—1461no—
1375C2×D4—1461no—
1376C2×D4—1462no—
1377C2×D4—1461no—
1378C2×D4—1461no—
1379C2×D4—1461no—
1380C2×D4D4×D7311yescharacteristic
1381C2×D4C23×D7311yescharacteristic
1382C2×D4C23×D7311yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—5842no—
1386C22×C4—731no—
1387C22×C4—731no—
1388C22×C4—731no—
1389C22×C4—1461no—
1390C22×C4—1461no—
1391C22×C4—1461no—
1392C22×C4—1461no—
1393C22×C4—1461no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4—1461no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4C23×D7311yescharacteristic
1404C22×C4C23×D7311yescharacteristic
1405Q16—41no—
1406Q16—1462no—
1407Q16—1462no—
1408SD16—22no—
1409SD16—41no—
1410SD16—2921no—
1411SD16—2921no—
1412SD16—2921no—
1413SD16—734no—
1414SD16—1462no—
1415SD16—1462no—
1416SD16—1462no—
1417SD16—1462no—
1418D8—2921no—
1419D8—1462no—
1420D8—1462no—
1421M16—41no—
1422M16—2921no—
1423M16—1462no—
1424M16—1462no—
1425C2×C8—41no—
1426C2×C8—731no—
1427C2×C8—731no—
1428C2×C8—731no—
1429C2×C8—731no—
1430C2×C8—1462no—
1431C2×C8C23×D7311yescharacteristic
1432C2×C8C23×D7311yescharacteristic
1433C2×C8C23×D7311yescharacteristic
1434C2×C8C23×D7311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—731no—
1441C4⋊C4—731no—
1442C4⋊C4—731no—
1443C4⋊C4—731no—
1444C4⋊C4—731no—
1445C4⋊C4—731no—
1446C4⋊C4—731no—
1447C4⋊C4—731no—
1448C4⋊C4—731no—
1449C4⋊C4—731no—
1450C4⋊C4—731no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4D4×D7311yescharacteristic
1477C4⋊C4C23×D7311yescharacteristic
1478C4⋊C4C23×D7311yescharacteristic
1479C4⋊C4C23×D7311yescharacteristic
1480C4⋊C4C23×D7311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—731no—
1491C22⋊C4—731no—
1492C22⋊C4—731no—
1493C22⋊C4—731no—
1494C22⋊C4—731no—
1495C22⋊C4—731no—
1496C22⋊C4—731no—
1497C22⋊C4—731no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4D4×D7311yescharacteristic
1524C22⋊C4D4×D7311yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—731no—
1529C42—731no—
1530C42—731no—
1531C42—731no—
1532C42—731no—
1533C42—1461no—
1534C42—1461no—
1535C42—1461no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42—1461no—
1542C42—1461no—
1543C42—1461no—
1544C42C23×D7311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—42no—
1548C23—42no—
1549C23—81no—
1550C23—2922no—
1551C23—5841no—
1552C23—5841no—
1553C23—731no—
1554C23—1461no—
1555C23—1461no—
1556C23C2×D4×D7311yescharacteristic
1557C23C2×D4×D7311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—81no—
1563Q8—2922no—
1564Q8—2921no—
1565Q8—2922no—
1566Q8—5841no—
1567Q8—5841no—
1568Q8—5841no—
1569Q8—732no—
1570Q8—1461no—
1571Q8—1461no—
1572Q8—1461no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—41no—
1577D4—42no—
1578D4—42no—
1579D4—81no—
1580D4—2922no—
1581D4—2922no—
1582D4—2922no—
1583D4—2921no—
1584D4—2921no—
1585D4—5841no—
1586D4—5841no—
1587D4—5841no—
1588D4—5841no—
1589D4—5841no—
1590D4—5841no—
1591D4—1461no—
1592D4—1461no—
1593D4—1461no—
1594D4—1461no—
1595D4#41×D7312yes—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—42no—
1607C2×C4—81no—
1608C2×C4—2922no—
1609C2×C4—2922no—
1610C2×C4—2922no—
1611C2×C4—2922no—
1612C2×C4—2922no—
1613C2×C4—2921no—
1614C2×C4—2921no—
1615C2×C4—5841no—
1616C2×C4—5841no—
1617C2×C4—5841no—
1618C2×C4—5841no—
1619C2×C4—5841no—
1620C2×C4—5841no—
1621C2×C4—5841no—
1622C2×C4—5841no—
1623C2×C4—5841no—
1624C2×C4—731no—
1625C2×C4—731no—
1626C2×C4—731no—
1627C2×C4—731no—
1628C2×C4—731no—
1629C2×C4—731no—
1630C2×C4—731no—
1631C2×C4—1461no—
1632C2×C4—1461no—
1633C2×C4—1461no—
1634C2×C4—1461no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4—1461no—
1639C2×C4C2×D4×D7311yescharacteristic
1640C2×C4C2×D4×D7311yescharacteristic
1641C2×C4C2×D4×D7311yescharacteristic
1642C2×C4C2×D4×D7311yescharacteristic
1643C2×C4C24×D7311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—732no—
1649C8—1461no—
1650C8—1461no—
1651C8—1461no—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—84no—
1665C22—2921no—
1666C22—2921no—
1667C22—2921no—
1668C22—2921no—
1669C22—2921no—
1670C22—2921no—
1671C22—11682no—
1672C22—1461no—
1673C22—1461no—
1674C22—1461no—
1675C22C22×D4×D7311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—2921no—
1687C4—2921no—
1688C4—2921no—
1689C4—2921no—
1690C4—2921no—
1691C4—1462no—
1692C4—1461no—
1693C4—1461no—
1694C4—1461no—
1695C4—1461no—
1696C4—1461no—
1697C4—1461no—
1698C4—1461no—
1699C4C2×#41×D7311yescharacteristic
1700C4#1798942211yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—42no—
1704C2—81no—
1705C2—2921no—
1706C2—5841no—
1707C2—5841no—
1708C2#2262341511yescharacteristic
1709C2#2262470811yescharacteristic
1710C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3311C2
socleC22×C73C23×D4
hypercenter#3311D73
hypocenterC73#61503
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #22623941C2semidirect
2. #22623872C2semidirect
3. #22623001C2semidirect
4. #22622845C2semidirect
5. #22622763C2semidirect
6. #22622742C2semidirect
7. #22622509C2semidirect
8. #22622464C2semidirect
9. #22622424C2semidirect
10. #22622194C2semidirect
11. #22622158C2semidirect
12. #22622108C2semidirect
13. #22622083C2semidirect
14. #22621924C2semidirect
15. #22621558C2semidirect
16. #22621439C2semidirect
17. #22621424C2semidirect
18. #22620609C2semidirect
19. #22620569C2semidirect
20. #22620532C2semidirect
21. #22620218C2semidirect
22. #22620194C2semidirect
23. #22620159C2semidirect
24. #22620120C2semidirect
25. #22620043C2semidirect
26. #22620025C2semidirect
27. #22618910C2semidirect
28. #22618787C2semidirect
29. #22618777C2semidirect
30. #22618735C2semidirect
31. C73×#3311C2semidirect
36. #17989317C22semidirect
38. #17989309C22semidirect
42. #17989300C22semidirect
50. #17989250C22semidirect
52. #17989246C22semidirect
57. #17989211C22semidirect
58. #17989210C22semidirect
66. #17989139C22semidirect
73. #17989064C22semidirect
74. #17989063C22semidirect
76. #17989055C22semidirect
78. #17988994C22semidirect
79. #17988994C22semidirect
80. #17988990C22semidirect
81. #17988980C22semidirect
83. #17988969C22semidirect
84. #17988954C22semidirect
85. #17988948C22semidirect
86. #17988947C22semidirect
87. #17988943C22semidirect
89. #17988931C22semidirect
90. #17988927C22semidirect
91. #17988923C22semidirect
92. #17988920C22semidirect
93. #17988920C22semidirect
94. #17988913C22semidirect
96. #17988911C22semidirect
98. #17988901C22semidirect
99. #17988897C22semidirect
100. #17988897C22semidirect
101. #17988893C22semidirect
102. #17988890C22semidirect
103. #17988883C22semidirect
104. #17988880C22semidirect
105. #17988872C22semidirect
108. #17988865C22semidirect
109. #17988864C22semidirect
110. #17988843C22semidirect
111. #17988838C22semidirect
112. #17988836C22semidirect
114. #17988835C22semidirect
117. #17988827C22semidirect
118. #17988823C22semidirect
120. #17988812C22semidirect
121. #17988811C22semidirect
122. #17988806C22semidirect
123. #17988805C22semidirect
125. #17988803C22semidirect
128. #17988790C22semidirect
131. #17988747C22semidirect
132. #17988741C22semidirect
137. #17988728C22semidirect
138. #17988725C22semidirect
141. #17988715C22semidirect
142. #17988714C22semidirect
143. #17988698C22semidirect
145. #17988696C22semidirect
146. #17988691C22semidirect
147. #17988691C22semidirect
148. #17988690C22semidirect
149. #17988689C22semidirect
151. #17988688C22semidirect
152. #17988686C22semidirect
156. #17988684C22semidirect
157. #17988684C22semidirect
158. Q16×Dic73C22semidirect
159. #17988679C22semidirect
160. #17988679C22semidirect
163. #17988678C22semidirect
164. C4×#11924015C22semidirect
165. #17988674C22semidirect
167. #17988672C22semidirect
169. #17988667C22semidirect
170. #17988665C22semidirect
173. #17988661C22semidirect
174. #17988658C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988641C22semidirect
178. #17988630C22semidirect
179. #17988630C22semidirect
180. #17988624C22semidirect
181. #17988594C22semidirect
183. #17988589C22semidirect
184. C2×#14556516C22semidirect
185. #17988544C22semidirect
186. #17988542C22semidirect
187. M16×Dic73C22semidirect
188. #556×C73C22semidirect
190. #489×C73C22semidirect
191. #485×C73C22semidirect
192. #482×C73C22semidirect
194. #470×C73C22semidirect
195. #465×C73C22semidirect
196. #464×C73C22semidirect
200. #435×C73C22semidirect
538. #11924016#41semidirect
869. #3311D73semidirect
887. C73#61503semidirect
898. #556C2×D73semidirect
945. #489C2×D73semidirect
950. #485C2×D73semidirect
958. #482C2×D73semidirect
973. #470C2×D73semidirect
983. #465C2×D73semidirect
987. #464C2×D73semidirect
1043. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239412
#226238722
#226230012
#226228452
#226227632
#226227422
#226225092
#226224642
#226224242
#226221942
#226221582
#226221082
#226220832
#226219242
#226215582
#226214392
#226214242
#226206092
#226205692
#226205322
#226202182
#226201942
#226201592
#226201202
#226200432
#226200252
#226189102
#226187872
#226187772
#226187352
C73×#33112
#6150373