Finite Group Databasebeta

← #33957924

Subgroups — #33957924

Order 18688.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623720C211yesmaximal, characteristic, complemented
2#22623346C211yesmaximal, characteristic, complemented
3#22621040C211yesmaximal, characteristic, complemented
4#22621039C211yesmaximal, characteristic, complemented
5#22621027C211yesmaximal, characteristic, complemented
6#22621024C211yesmaximal, characteristic, complemented
7#22620991C211yesmaximal, characteristic, complemented
8#22620978C211yesmaximal, characteristic, complemented
9#22620975C211yesmaximal, characteristic, complemented
10#22620971C211yesmaximal, characteristic, complemented
11#22620966C211yesmaximal, characteristic, complemented
12#22620917C211yesmaximal, characteristic, complemented
13#22620913C211yesmaximal, characteristic, complemented
14#22620897C211yesmaximal, characteristic, complemented
15#22620895C211yesmaximal, characteristic, complemented
16#22620862C211yesmaximal, characteristic, complemented
17#22620861C211yesmaximal, characteristic, complemented
18#22620415C211yesmaximal, characteristic, complemented
19#22620400C211yesmaximal, characteristic, complemented
20#22620297C211yesmaximal, characteristic, complemented
21#22620284C211yesmaximal, characteristic, complemented
22#22619420C211yesmaximal, characteristic, complemented
23#22619396C211yesmaximal, characteristic, complemented
24#22619387C211yesmaximal, characteristic, complemented
25#463×D73C211yesmaximal, characteristic, complemented
26#22619241C211yesmaximal, characteristic, complemented
27#22619233C211yesmaximal, characteristic, complemented
28#22619212C211yesmaximal, characteristic, complemented
29#22619196C211yesmaximal, characteristic, complemented
30#22618594C211yesmaximal, characteristic, complemented
31C73×#3221C211yesmaximal, characteristic, complemented
32C2×#14556639C2211yescharacteristic
33C2×#14556637C2211yescharacteristic
34C2×#14556620C2211yescharacteristic, complemented
35C2×#14556618C2211yescharacteristic
36C2×#14556618C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic
38C2×#14556612C2211yescharacteristic
39C2×#14556612C2211yescharacteristic, complemented
40C2×SD16×D73C2211yescharacteristic, complemented
41C2×D8×D73C2211yescharacteristic
42#17989247—21no—
43#17989247—21no—
44#17989229—21no—
45#17989229—21no—
46#17989229—21no—
47#17989229—21no—
48#17989228—21no—
49#17989228—21no—
50#17989217C2211yescharacteristic, complemented
51#17989208C2211yescharacteristic, complemented
52#17989205—21no—
53#17989202C2211yescharacteristic, complemented
54#17989188C2211yescharacteristic, complemented
55#17989187—21no—
56#17989173—21no—
57#17989169—21no—
58#17989166C2211yescharacteristic
59#17989162C2211yescharacteristic
60#17989162C2211yescharacteristic, complemented
61#17989156C2211yescharacteristic, complemented
62#17989155C2211yescharacteristic
63#17989155C2211yescharacteristic, complemented
64#17989153C2211yescharacteristic
65#17989150C2211yescharacteristic, complemented
66#17989138C2211yescharacteristic
67#17989138C2211yescharacteristic, complemented
68#17989135C2211yescharacteristic, complemented
69#17989133C2211yescharacteristic, complemented
70#17989132—21no—
71#17989132C2211yescharacteristic, complemented
72#17989122C2211yescharacteristic, complemented
73#17989118C2211yescharacteristic, complemented
74#17989114—21no—
75C2×#14556580C2211yescharacteristic, complemented
76#124×D73C2211yescharacteristic
77#124×D73C2211yescharacteristic, complemented
78#17989097—21no—
79#17989095—21no—
80#17989055C2211yescharacteristic
81C4×#11924027C2211yescharacteristic, complemented
82C4×D4×D73C2211yescharacteristic, complemented
83#17988979C2211yescharacteristic, complemented
84#17988978C2211yescharacteristic, complemented
85#17988976C2211yescharacteristic, complemented
86#17988975C2211yescharacteristic, complemented
87#17988974C2211yescharacteristic, complemented
88#17988973C2211yescharacteristic, complemented
89#17988973C2211yescharacteristic, complemented
90#17988971C2211yescharacteristic, complemented
91#17988969C2211yescharacteristic, complemented
92#17988968C2211yescharacteristic, complemented
93#17988968C2211yescharacteristic, complemented
94#17988963C2211yescharacteristic, complemented
95#17988962C2211yescharacteristic, complemented
96#17988958C2211yescharacteristic, complemented
97#17988954C2211yescharacteristic, complemented
98#17988953C2211yescharacteristic, complemented
99#17988950C2211yescharacteristic, complemented
100#17988948C2211yescharacteristic, complemented
101#17988948C2211yescharacteristic, complemented
102#17988947C2211yescharacteristic, complemented
103#17988946C2211yescharacteristic, complemented
104#17988944C2211yescharacteristic, complemented
105#17988943C2211yescharacteristic, complemented
106#17988943C2211yescharacteristic, complemented
107#17988937C2211yescharacteristic, complemented
108#17988936C2211yescharacteristic, complemented
109#17988934C2211yescharacteristic, complemented
110#17988932C2211yescharacteristic, complemented
111#17988812C2211yescharacteristic, complemented
112#17988812C2211yescharacteristic, complemented
113#17988812C2211yescharacteristic, complemented
114#17988810C2211yescharacteristic, complemented
115#17988808C2211yescharacteristic, complemented
116#17988806C2211yescharacteristic, complemented
117#17988805C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic, complemented
122#17988804C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic, complemented
126#17988803C2211yescharacteristic, complemented
127#17988802C2211yescharacteristic, complemented
128#17988802C2211yescharacteristic, complemented
129#17988801C2211yescharacteristic, complemented
130#17988800C2211yescharacteristic, complemented
131#17988800C2211yescharacteristic, complemented
132#17988799C2211yescharacteristic, complemented
133#17988794C2211yescharacteristic, complemented
134#17988789C2211yescharacteristic, complemented
135#17988788C2211yescharacteristic, complemented
136#17988783C2211yescharacteristic, complemented
137#17988782C2211yescharacteristic, complemented
138#17988782C2211yescharacteristic, complemented
139#17988752C2211yescharacteristic, complemented
140#17988752C2211yescharacteristic, complemented
141#17988751C2211yescharacteristic, complemented
142#17988749C2211yescharacteristic, complemented
143#17988744C2211yescharacteristic, complemented
144#17988743C2211yescharacteristic, complemented
145#17988740C2211yescharacteristic, complemented
146#17988739C2211yescharacteristic, complemented
147#17988735C2211yescharacteristic
148#17988735C2211yescharacteristic, complemented
149#17988734C2211yescharacteristic, complemented
150#17988732C2211yescharacteristic
151#17988731C2211yescharacteristic
152#17988731C2211yescharacteristic, complemented
153#17988731C2211yescharacteristic, complemented
154#17988731C2211yescharacteristic, complemented
155#17988730C2211yescharacteristic, complemented
156#17988730C2211yescharacteristic, complemented
157#17988727C2211yescharacteristic, complemented
158#17988726C2211yescharacteristic, complemented
159#17988724C2211yescharacteristic, complemented
160#17988724C2211yescharacteristic, complemented
161#17988723C2211yescharacteristic
162#17988722C2211yescharacteristic
163#17988720C2211yescharacteristic
164#17988720C2211yescharacteristic, complemented
165#17988719C2211yescharacteristic
166#17988719C2211yescharacteristic, complemented
167#17988648C2211yescharacteristic, complemented
168#17988647C2211yescharacteristic, complemented
169#17988647C2211yescharacteristic, complemented
170#17988642C2211yescharacteristic, complemented
171#17988641C2211yescharacteristic, complemented
172#17988638C2211yescharacteristic, complemented
173#17988637C2211yescharacteristic, complemented
174#17988609C2211yescharacteristic, complemented
175C4⋊C8×D73C2211yescharacteristic, complemented
176#17988594C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic
178#17988587C2211yescharacteristic
179#17988587C2211yescharacteristic, complemented
180#17988582C2211yescharacteristic
181#17988582C2211yescharacteristic, complemented
182#103×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988544C2211yescharacteristic, complemented
187#17988541C2211yescharacteristic, complemented
188#540×C73C2211yescharacteristic, complemented
189#536×C73C2211yescharacteristic, complemented
190#496×C73C2211yescharacteristic, complemented
191#492×C73C2211yescharacteristic, complemented
192#491×C73C2211yescharacteristic, complemented
193#488×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#461×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic
199#449×C73C2211yescharacteristic, complemented
200#448×C73C2211yescharacteristic, complemented
201#448×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203#14556639—42no—
204#14556639—42no—
205#14556637—42no—
206#14556637—42no—
207C2×#11924029—21no—
208C2×#11924029C2311yescharacteristic
209C2×#11924029C2311yescharacteristic
210C2×#11924029C2311yescharacteristic
211C2×#11924029C2311yescharacteristic
212C2×#11924028—21no—
213C2×#11924028—21no—
214C2×#11924028—21no—
215C2×#11924028C2311yescharacteristic
216C2×#11924028C2311yescharacteristic
217C2×#11924027—21no—
218C2×#11924027—21no—
219C2×#11924027C2311yescharacteristic
220C2×Q8×D73—21no—
221C2×Q8×D73C2311yescharacteristic
222C2×Q8×D73C2311yescharacteristic
223C22×D292—21no—
224C22×D292C2311yescharacteristic
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C22×C4×D73—21no—
231#14556620—42no—
232#14556618—42no—
233#14556618—42no—
234#14556615—42no—
235#14556612—42no—
236#14556612—42no—
237C2×Dic292C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924017C2311yescharacteristic
242C2×#11924017C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924016C2311yescharacteristic
246C2×#11924016C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924015C2311yescharacteristic
249C2×#11924015C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251SD16×D73—42no—
252C2×D584C2311yescharacteristic
253C2×D584C2311yescharacteristic
254C2×D584C2311yescharacteristic
255C2×#11924013C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262D8×D73—42no—
263C2×#11924011C2311yescharacteristic
264C2×#11924011C2311yescharacteristic
265C2×C8×D73C2311yescharacteristic
266C2×C8×D73C2311yescharacteristic
267#14556591C2311yescharacteristic
268#14556590—21no—
269#14556590C2311yescharacteristic
270#14556589C2311yescharacteristic
271#14556588C2311yescharacteristic
272#14556588C2311yescharacteristic
273#14556587—21no—
274#14556587C2311yescharacteristic
275#14556587C2311yescharacteristic
276#14556586—21no—
277#14556586—21no—
278#14556584—21no—
279#14556584—21no—
280#14556582C2311yescharacteristic
281#14556581—21no—
282#14556580—21no—
283#14556580—21no—
284#14556580C2311yescharacteristic
285#14556580C2311yescharacteristic
286#14556580C2311yescharacteristic
287#14556580C2311yescharacteristic
288#14556580C2311yescharacteristic
289#14556579C2311yescharacteristic
290#14556579C2311yescharacteristic
291#14556579C2311yescharacteristic
292#14556578—21no—
293#14556578C2311yescharacteristic
294#14556578C2311yescharacteristic
295#14556577—21no—
296#14556577—21no—
297#14556577—21no—
298#14556577—21no—
299#14556577—21no—
300#14556577—21no—
301#14556577—21no—
302#14556577—21no—
303#14556576—21no—
304#14556576—21no—
305#14556576—21no—
306#14556576—21no—
307#14556576—21no—
308#14556574—21no—
309#14556574—21no—
310#14556573—21no—
311#14556573—21no—
312#14556572—21no—
313#14556571—21no—
314#14556571C2311yescharacteristic
315#14556570—21no—
316#14556570C2311yescharacteristic
317#14556569—21no—
318#14556569—21no—
319#14556569—21no—
320#14556569—21no—
321#14556569—21no—
322#14556569—21no—
323#14556568—21no—
324#14556566—21no—
325#14556566—21no—
326#14556566—21no—
327#14556566—21no—
328#14556566—21no—
329#14556566—21no—
330#14556566C2311yescharacteristic
331#14556565—21no—
332#14556565C2311yescharacteristic
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556563—21no—
340#14556563—21no—
341#14556563—21no—
342#14556563—21no—
343#14556563—21no—
344#14556563—21no—
345#14556562—21no—
346#14556562—21no—
347#14556562C2311yescharacteristic
348#14556562C2311yescharacteristic
349#14556561—21no—
350#14556561—21no—
351#14556561—21no—
352#14556561—21no—
353#14556561—21no—
354#14556561—21no—
355#14556561—21no—
356#14556559—21no—
357#14556559—21no—
358#14556559—21no—
359C4×Dic146C2311yescharacteristic
360#14556556D411yescharacteristic
361#14556556D411yescharacteristic
362#14556556C2311yescharacteristic
363C4×D292C2311yescharacteristic
364D4×Dic73—21no—
365D4×Dic73—21no—
366D4×Dic73C2311yescharacteristic
367D4×Dic73C2311yescharacteristic
368#14556553—21no—
369#14556553—21no—
370#14556553—21no—
371#14556553—21no—
372#14556553—21no—
373#14556553D411yescharacteristic
374#14556553D411yescharacteristic
375#14556553C2311yescharacteristic
376C4×C22⋊D73—21no—
377C4×C22⋊D73—21no—
378C4×C22⋊D73—21no—
379C4×C22⋊D73—21no—
380#14556551—21no—
381#14556551—21no—
382#14556551—21no—
383#14556551D411yescharacteristic
384#14556551D411yescharacteristic
385#14556551D411yescharacteristic
386#14556551D411yescharacteristic
387#14556549—21no—
388#14556549C2311yescharacteristic
389#14556548C2311yescharacteristic
390#14556548C2311yescharacteristic
391#14556547—21no—
392#14556547—21no—
393C4⋊C4×D73C2311yescharacteristic
394C2×#11924005—21no—
395C2×#11924005—21no—
396C22⋊C4×D73—21no—
397C22⋊C4×D73—21no—
398C22⋊C4×D73—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73—21no—
401C2×C4×Dic73—21no—
402C2×C4×Dic73C2311yescharacteristic
403C42×D73C2311yescharacteristic
404C42×D73C2311yescharacteristic
405C4⋊#10596831C2311yescharacteristic
406C4⋊#10596831C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556502C2311yescharacteristic
442#14556501C2311yescharacteristic
443#14556501C2311yescharacteristic
444C4×#10596831C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×Q8×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×D8×C73C2311yescharacteristic
456C2×D8×C73C2311yescharacteristic
457C4⋊Q8×C73C2311yescharacteristic
458C4⋊Q8×C73C2311yescharacteristic
459#127×C73C2311yescharacteristic
460#125×C73C2311yescharacteristic
461#124×C73C2311yescharacteristic
462#124×C73C2311yescharacteristic
463#123×C73—21no—
464#123×C73—21no—
465#123×C73—21no—
466#123×C73—21no—
467C22⋊Q8×C73—21no—
468C22⋊Q8×C73—21no—
469#121×C73—21no—
470#121×C73—21no—
471#121×C73C2311yescharacteristic
472#121×C73C2311yescharacteristic
473C4×D4×C73C2311yescharacteristic
474C4×D4×C73C2311yescharacteristic
475#117×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477C4⋊C8×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488#97×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494#11924029—22no—
495#11924029—22no—
496#11924029—22no—
497#11924029—22no—
498#11924029—41no—
499#11924029—41no—
500#11924029—41no—
501#11924029—41no—
502#11924029—44no—
503#11924028—22no—
504#11924028—22no—
505#11924028—41no—
506#11924028—41no—
507#11924028—44no—
508#11924028—44no—
509#11924028—44no—
510#11924027—22no—
511#11924027—22no—
512#11924027—82no—
513#11924027—82no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146C2×D411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×Dic146C2411yescharacteristic
521Q8×D73—22no—
522Q8×D73—22no—
523Q8×D73—41no—
524Q8×D73—41no—
525Q8×D73—44no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—21no—
533C2×D292—21no—
534C2×D292—21no—
535C2×D292—21no—
536C2×D292—41no—
537C2×D292—41no—
538C2×D292—44no—
539C2×D292C2×D411yescharacteristic
540C2×D292C2411yescharacteristic
541C2×D292C2411yescharacteristic
542C2×D292C2411yescharacteristic
543C2×D292C2411yescharacteristic
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—21no—
556C2×C22⋊D73C2×D411yescharacteristic
557C2×C22⋊D73C2×D411yescharacteristic
558D4×D73—22no—
559D4×D73—22no—
560D4×D73—22no—
561D4×D73—22no—
562D4×D73—41no—
563D4×D73—41no—
564D4×D73—44no—
565D4×D73—44no—
566C22×Dic73—21no—
567C22×Dic73—21no—
568C22×Dic73—21no—
569C22×Dic73C2×D411yescharacteristic
570C22×Dic73C2×D411yescharacteristic
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—82no—
582C2×C4×D73C2×D411yescharacteristic
583C2×C4×D73C2×D411yescharacteristic
584C2×C4×D73C2×D411yescharacteristic
585C2×C4×D73C2×D411yescharacteristic
586C2×C4×D73C2411yescharacteristic
587C2×C4×D73C2411yescharacteristic
588Dic292—41no—
589#11924018—41no—
590#11924018—41no—
591#11924018—41no—
592#11924017—41no—
593#11924017—41no—
594#11924017—41no—
595#11924017—41no—
596#11924016—41no—
597#11924016—41no—
598#11924016—41no—
599#11924015—41no—
600#11924015—41no—
601#11924015—41no—
602D584—41no—
603D584—41no—
604D584—41no—
605#11924013—41no—
606#11924013—41no—
607#11924013—41no—
608#11924013—41no—
609#11924013—41no—
610#11924013—41no—
611#11924013—41no—
612#11924011—22no—
613#11924011—22no—
614C2×#10596831C2411yescharacteristic
615C2×#10596831C2411yescharacteristic
616C2×#10596831C2411yescharacteristic
617C2×#10596831C2411yescharacteristic
618C8×D73—22no—
619C8×D73—22no—
620C4⋊Dic73—21no—
621C4⋊Dic73—21no—
622C4⋊Dic73—21no—
623C4⋊Dic73C2411yescharacteristic
624C4⋊Dic73C2411yescharacteristic
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007C2×D411yescharacteristic
634#11924007C2×D411yescharacteristic
635#11924007C2×D411yescharacteristic
636#11924007C2×D411yescharacteristic
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005C2×D411yescharacteristic
669#11924005C2×D411yescharacteristic
670#11924005C2×D411yescharacteristic
671#11924005C2×D411yescharacteristic
672C4×Dic73—21no—
673C4×Dic73—21no—
674C4×Dic73—21no—
675C4×Dic73C2×D411yescharacteristic
676C4×Dic73C2×D411yescharacteristic
677C4×Dic73C2×D411yescharacteristic
678C4×Dic73C2×D411yescharacteristic
679C4×Dic73C2×D411yescharacteristic
680C4×Dic73C2×D411yescharacteristic
681C4×Dic73C2411yescharacteristic
682C4×Dic73C2411yescharacteristic
683#41×C73—41no—
684#41×C73—41no—
685C2×Q8×C73—21no—
686C2×Q8×C73—41no—
687C2×Q8×C73—41no—
688C2×Q8×C73C2411yescharacteristic
689C2×Q8×C73C2411yescharacteristic
690C2×Q8×C73C2411yescharacteristic
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73C2411yescharacteristic
697C2×D4×C73C2411yescharacteristic
698C2×D4×C73C2411yescharacteristic
699C22×C4×C73—21no—
700C22×C4×C73—21no—
701C22×C4×C73—21no—
702C22×C4×C73—21no—
703C22×C4×C73C2411yescharacteristic
704SD16×C73—41no—
705SD16×C73—41no—
706SD16×C73—41no—
707SD16×C73—41no—
708SD16×C73—41no—
709SD16×C73—41no—
710D8×C73—41no—
711D8×C73—41no—
712C2×C8×C73C2411yescharacteristic
713C2×C8×C73C2411yescharacteristic
714C2×C8×C73C2411yescharacteristic
715C2×C8×C73C2411yescharacteristic
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73C2×D411yescharacteristic
723C4⋊C4×C73C2×D411yescharacteristic
724C4⋊C4×C73C2411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C22⋊C4×C73—21no—
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73C2×D411yescharacteristic
735C22⋊C4×C73C2×D411yescharacteristic
736C42×C73C2411yescharacteristic
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73C22×D411yescharacteristic
742C22×D73—21no—
743C22×D73—21no—
744C22×D73—21no—
745C22×D73—21no—
746C22×D73—42no—
747C22×D73—42no—
748C22×D73—42no—
749C22×D73—42no—
750C22×D73—81no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73—81no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73C22×D411yescharacteristic
759C22×D73C22×D411yescharacteristic
760Q8×C73—21no—
761Q8×C73—21no—
762Q8×C73—21no—
763Q8×C73—21no—
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—42no—
767D4×C73—21no—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—42no—
774D4×C73—81no—
775D4×C73—81no—
776D4×C73—81no—
777D4×C73—81no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—42no—
786C2×C4×C73—42no—
787C2×C4×C73—81no—
788C2×C4×C73—81no—
789C2×C4×C73C22×D411yescharacteristic
790C2×C4×C73C22×D411yescharacteristic
791C2×C4×C73C22×D411yescharacteristic
792C2×C4×C73C22×D411yescharacteristic
793C2×C4×C73C22×D411yescharacteristic
794C2×C4×C73C2511yescharacteristic
795C22⋊D73—22no—
796C22⋊D73—22no—
797C22⋊D73—42no—
798C22⋊D73—42no—
799C22⋊D73—42no—
800C22⋊D73—42no—
801C22⋊D73—42no—
802C22⋊D73—81no—
803C22⋊D73—81no—
804C22⋊D73—81no—
805C22⋊D73—81no—
806C22⋊D73—81no—
807C22⋊D73—81no—
808C22⋊D73—81no—
809C2×Dic73—21no—
810C2×Dic73—21no—
811C2×Dic73—21no—
812C2×Dic73—21no—
813C2×Dic73—41no—
814C2×Dic73—41no—
815C2×Dic73—42no—
816C2×Dic73—42no—
817C2×Dic73—42no—
818C2×Dic73C22×D411yescharacteristic
819C2×Dic73C22×D411yescharacteristic
820C2×Dic73C22×D411yescharacteristic
821C2×Dic73C22×D411yescharacteristic
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824D292—22no—
825D292—21no—
826D292—21no—
827D292—21no—
828D292—21no—
829D292—21no—
830D292—21no—
831D292—21no—
832D292—21no—
833D292—42no—
834D292—42no—
835D292—42no—
836D292—42no—
837D292—42no—
838D292—81no—
839D292—81no—
840D292—81no—
841D292—81no—
842D292—81no—
843C4×D73—21no—
844C4×D73—21no—
845C4×D73—41no—
846C4×D73—41no—
847C4×D73—41no—
848C4×D73—41no—
849C4×D73—42no—
850C4×D73—42no—
851C4×D73—42no—
852C4×D73—42no—
853C4×D73—42no—
854C4×D73—42no—
855C4×D73—42no—
856C4×D73—42no—
857C4×D73—81no—
858C4×D73—81no—
859C4×D73H(5,𝔽2)12yes—
860C4×D73H(5,𝔽2)12yes—
861Dic146—22no—
862Dic146—21no—
863Dic146—21no—
864Dic146—21no—
865Dic146—21no—
866Dic146—42no—
867Dic146—42no—
868Dic146—81no—
869Dic146—81no—
870C8×C73—21no—
871C8×C73—21no—
872C8×C73—21no—
873C8×C73—21no—
874#10596831—21no—
875#10596831—21no—
876#10596831—21no—
877#10596831—21no—
878C22×C73—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73C23×D411yescharacteristic
891C2×D73—21no—
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—41no—
897C2×D73—41no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—41no—
905C2×D73—41no—
906C2×D73—41no—
907C2×D73—41no—
908C2×D73—84no—
909C2×D73—162no—
910C2×D73—162no—
911C2×D73—162no—
912C2×D73#53512yes—
913C4×C73—21no—
914C4×C73—21no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—21no—
918C4×C73—41no—
919C4×C73—41no—
920C4×C73—41no—
921C4×C73—41no—
922C4×C73—41no—
923C4×C73C2×H(5,𝔽2)11yescharacteristic
924C4×C73C2×H(5,𝔽2)11yescharacteristic
925Dic73—21no—
926Dic73—21no—
927Dic73—21no—
928Dic73—21no—
929Dic73—21no—
930Dic73—41no—
931Dic73—41no—
932Dic73—41no—
933Dic73—41no—
934Dic73#53512yes—
935#60834—731nomaximal, Sylow
936C2×C73—41no—
937C2×C73—81no—
938C2×C73—81no—
939C2×C73—81no—
940C2×C73C2×#53511yescharacteristic
941C2×C73#358411yescharacteristic
942C2×C73#358511yescharacteristic
943D73—22no—
944D73—41no—
945D73—81no—
946D73—81no—
947D73—81no—
948D73—81no—
949#3500—731no—
950#3460—731no—
951#3225—731no—
952#3225—731no—
953#3224—731no—
954#3224—731no—
955#3221—731no—
956#3221D7311yescharacteristic, complemented
957#3220—731no—
958#3220—731no—
959#3219—731no—
960#3219—731no—
961#3213—731no—
962#3213—731no—
963#3211—731no—
964#3211—731no—
965#3207—731no—
966#3207—731no—
967#3155—731no—
968#3154—731no—
969#3137—731no—
970#3136—731no—
971#3040—731no—
972#3036—731no—
973#3035—731no—
974C2×#463—731no—
975#3013—731no—
976#3012—731no—
977#3010—731no—
978#3008—731no—
979#2925—731no—
980C73#6083411yescharacteristic, complemented, Sylow
981C2×2−1+4—731no—
982C2×H(5,𝔽2)—731no—
983C2×#137—731no—
984C2×AGL(1,ℤ/8)—731no—
985C2×AGL(1,ℤ/8)—731no—
986C2×AGL(1,ℤ/8)—731no—
987C2×#135—731no—
988C2×#135—731no—
989C22×SD16—731no—
990C22×D8—731no—
991#548—1461no—
992#548—1461no—
993#546—1461no—
994#546—1461no—
995#546—1461no—
996#546—1461no—
997#546—1461no—
998#546—1461no—
999#544—731no—
1000#542—731no—
1001#542—731no—
1002#542—1461no—
1003#540—731no—
1004#540—1461no—
1005#540C2×D7311yescharacteristic, complemented
1006#538—1461no—
1007#538—1461no—
1008#537—731no—
1009#536—731no—
1010#536—731no—
1011#536C2×D7311yescharacteristic, complemented
1012#535—731no—
1013#535—731no—
1014#535—731no—
1015#535—731no—
1016#535—731no—
1017#532—731no—
1018#532—731no—
1019#532—731no—
1020#532—731no—
1021#532—731no—
1022#532—1461no—
1023#529—731no—
1024#529—731no—
1025#529—1461no—
1026C2×#124—731no—
1027C2×#124—731no—
1028C2×#124—731no—
1029#525—1461no—
1030#525—1461no—
1031C4×#41—731no—
1032C4×#41—731no—
1033C2×C4×D4—731no—
1034#497—731no—
1035#497—731no—
1036#496—731no—
1037#496—731no—
1038#496—731no—
1039#496—731no—
1040#496—731no—
1041#496C2×D7311yescharacteristic, complemented
1042#495—731no—
1043#495—731no—
1044#495—731no—
1045#495—731no—
1046#493—731no—
1047#493—731no—
1048#492—731no—
1049#492C2×D7311yescharacteristic, complemented
1050#491—731no—
1051#491C2×D7311yescharacteristic, complemented
1052#490—731no—
1053#490—731no—
1054#489—731no—
1055#489—731no—
1056#489—731no—
1057#489—731no—
1058#488—731no—
1059#488—731no—
1060#488—731no—
1061#488C2×D7311yescharacteristic, complemented
1062#487—731no—
1063#487—731no—
1064#486—731no—
1065#486—731no—
1066#464—731no—
1067#464—731no—
1068#464—731no—
1069#464—731no—
1070#464—731no—
1071#464—731no—
1072#463—731no—
1073#463—731no—
1074#463—731no—
1075#463—731no—
1076#463—731no—
1077#463—731no—
1078#463—731no—
1079#463—731no—
1080#463—731no—
1081#463—731no—
1082#463—731no—
1083#463—731no—
1084#463—731no—
1085#463—731no—
1086#463—731no—
1087#463—731no—
1088#463C2×D7311yescharacteristic, complemented
1089#463C2×D7311yescharacteristic, complemented
1090#462—731no—
1091#461—731no—
1092#461C2×D7311yescharacteristic, complemented
1093#461C2×D7311yescharacteristic, complemented
1094#460—731no—
1095#459—731no—
1096#459—731no—
1097#459—731no—
1098#452—731no—
1099#452—731no—
1100#452—731no—
1101#452—731no—
1102#451—731no—
1103#451—731no—
1104#450—731no—
1105#450—731no—
1106#449—731no—
1107#449—731no—
1108#449—731no—
1109#449—731no—
1110#449—731no—
1111#449—731no—
1112#449—731no—
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449C2×D7311yescharacteristic
1117#449C2×D7311yescharacteristic, complemented
1118#448—731no—
1119#448—731no—
1120#448—731no—
1121#448—731no—
1122#448C2×D7311yescharacteristic, complemented
1123#448C2×D7311yescharacteristic, complemented
1124#447—731no—
1125#447—731no—
1126#447—731no—
1127#447—731no—
1128#447—731no—
1129#447—731no—
1130#433—731no—
1131#433—731no—
1132#433—731no—
1133#433C2×D7311yescharacteristic, complemented
1134#432—731no—
1135#432—731no—
1136#431—731no—
1137#431—731no—
1138#423—731no—
1139C2×C4⋊C8—731no—
1140#419—731no—
1141#418—731no—
1142#417—731no—
1143#417—731no—
1144#416—731no—
1145#416—731no—
1146C2×#103—731no—
1147C2×#102—731no—
1148#408—731no—
1149#408—731no—
1150#405—731no—
1151#405—731no—
11522−1+4—2922no—
11532−1+4—2922no—
1154H(5,𝔽2)—2922no—
1155H(5,𝔽2)—2922no—
1156C2×#41—731no—
1157C2×#41—731no—
1158C2×#41—731no—
1159C2×#41—731no—
1160C2×#41—731no—
1161C2×#41—731no—
1162C2×#41—731no—
1163C2×#41—1461no—
1164C2×#41—1461no—
1165C2×#41—1461no—
1166C2×#41—1461no—
1167C2×#41—1461no—
1168C2×#41—1461no—
1169C2×#41C22×D7311yescharacteristic
1170C22×Q8—731no—
1171C22×Q8—731no—
1172C22×Q8—1461no—
1173C22×Q8C22×D7311yescharacteristic
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—731no—
1177C22×D4—731no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4—1461no—
1181C23×C4—1461no—
1182#137—2922no—
1183AGL(1,ℤ/8)—2922no—
1184AGL(1,ℤ/8)—2922no—
1185AGL(1,ℤ/8)—2922no—
1186#135—2922no—
1187#135—2922no—
1188C2×Q16—731no—
1189C2×Q16—731no—
1190C2×Q16—731no—
1191C2×Q16—731no—
1192C2×SD16—2922no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16—731no—
1197C2×SD16—731no—
1198C2×SD16—731no—
1199C2×SD16—731no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16C22×D7311yescharacteristic
1204C2×SD16C22×D7311yescharacteristic
1205C2×SD16C22×D7311yescharacteristic
1206C2×SD16C22×D7311yescharacteristic
1207C2×SD16C22×D7311yescharacteristic
1208C2×SD16C22×D7311yescharacteristic
1209C2×D8—2922no—
1210C2×D8—731no—
1211C2×D8—731no—
1212C2×D8—731no—
1213C2×D8—731no—
1214C2×D8—731no—
1215C2×D8—731no—
1216C2×D8—731no—
1217C2×D8—731no—
1218C2×D8—731no—
1219C2×D8—731no—
1220C2×D8C22×D7311yescharacteristic
1221C2×D8C22×D7311yescharacteristic
1222C2×M16—731no—
1223C2×M16—731no—
1224C22×C8—731no—
1225C22×C8—731no—
1226C4⋊Q8—731no—
1227C4⋊Q8—731no—
1228C4⋊Q8—731no—
1229C4⋊Q8—1461no—
1230C4⋊Q8C22×D7311yescharacteristic
1231C4⋊Q8C22×D7311yescharacteristic
1232#127—731no—
1233#127—731no—
1234#127—731no—
1235#127—731no—
1236#127—1461no—
1237#127C22×D7311yescharacteristic
1238#126—1461no—
1239#126—1461no—
1240#126—1461no—
1241#126—1461no—
1242#125—731no—
1243#125—1461no—
1244#125C22×D7311yescharacteristic
1245#124—731no—
1246#124—731no—
1247#124—731no—
1248#124—731no—
1249#124—731no—
1250#124—731no—
1251#124—731no—
1252#124—731no—
1253#124—731no—
1254#124—731no—
1255#124—1461no—
1256#124—1461no—
1257#124—1461no—
1258#124—1461no—
1259#124—1461no—
1260#124—1461no—
1261#124—1461no—
1262#124—1461no—
1263#124—1461no—
1264#124—1461no—
1265#124—1461no—
1266#124C22×D7311yescharacteristic
1267#124C22×D7311yescharacteristic
1268#123—21no—
1269#123—21no—
1270#123—21no—
1271#123—21no—
1272#123—1461no—
1273#123—1461no—
1274#123—1461no—
1275#123—1461no—
1276#123—1461no—
1277#123—1461no—
1278#123—1461no—
1279#123—1461no—
1280#123—1461no—
1281#123—1461no—
1282C22⋊Q8—21no—
1283C22⋊Q8—21no—
1284C22⋊Q8—731no—
1285C22⋊Q8—731no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291C22⋊Q8—1461no—
1292C22⋊Q8—1461no—
1293C22⋊Q8—1461no—
1294C22⋊Q8—1461no—
1295#121—21no—
1296#121—21no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—1461no—
1302#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121C22×D7311yescharacteristic
1323#121C22×D7311yescharacteristic
1324#120—1461no—
1325#120—1461no—
1326#120—1461no—
1327#120—1461no—
1328#120—1461no—
1329#120—1461no—
1330#120—1461no—
1331#120—1461no—
1332#120—1461no—
1333#120—1461no—
1334C4×Q8—731no—
1335C4×Q8—731no—
1336C4×Q8—731no—
1337C4×Q8—731no—
1338C4×D4—731no—
1339C4×D4—731no—
1340C4×D4—731no—
1341C4×D4—731no—
1342C4×D4—731no—
1343C4×D4—731no—
1344C4×D4—731no—
1345C4×D4—731no—
1346C4×D4—731no—
1347C4×D4—731no—
1348C4×D4—1461no—
1349C4×D4—1461no—
1350C4×D4—1461no—
1351C4×D4—1461no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4—1461no—
1361C4×D4—1461no—
1362C4×D4C22×D7311yescharacteristic
1363C4×D4C22×D7311yescharacteristic
1364#117—731no—
1365#117—731no—
1366#117—731no—
1367#117—1461no—
1368#117—1461no—
1369#117—1461no—
1370#117C22×D7311yescharacteristic
1371C2×C4⋊C4—731no—
1372C2×C22⋊C4—1461no—
1373C2×C22⋊C4—1461no—
1374C2×C22⋊C4—1461no—
1375C2×C22⋊C4—1461no—
1376C2×C22⋊C4—1461no—
1377C2×C22⋊C4—1461no—
1378C2×C22⋊C4—1461no—
1379C2×C42—731no—
1380C2×C42—731no—
1381C2×C42—731no—
1382C2×C42—1461no—
1383C4⋊C8—731no—
1384C4⋊C8—731no—
1385C4⋊C8—731no—
1386C4⋊C8—731no—
1387C4⋊C8—731no—
1388C4⋊C8—731no—
1389C4⋊C8C22×D7311yescharacteristic
1390C4⋊C8C22×D7311yescharacteristic
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103C22×D7311yescharacteristic
1402#103C22×D7311yescharacteristic
1403#103C22×D7311yescharacteristic
1404#103C22×D7311yescharacteristic
1405#103C22×D7311yescharacteristic
1406#103C22×D7311yescharacteristic
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102C22×D7311yescharacteristic
1422#102C22×D7311yescharacteristic
1423C22⋊C8—731no—
1424C22⋊C8—731no—
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8C22×D7311yescharacteristic
1430C22⋊C8C22×D7311yescharacteristic
1431#97—731no—
1432#97—731no—
1433#97—731no—
1434#97C22×D7311yescharacteristic
1435C4×C8—731no—
1436C4×C8—731no—
1437C4×C8—731no—
1438C4×C8C22×D7311yescharacteristic
1439C24—1461no—
1440C24—1461no—
1441C24—1461no—
1442C24—1461no—
1443#41—41no—
1444#41—41no—
1445#41—2921no—
1446#41—2921no—
1447#41—2924no—
1448#41—2924no—
1449#41—2924no—
1450#41—2924no—
1451#41—2921no—
1452#41—2921no—
1453#41—2921no—
1454#41—2921no—
1455#41—5842no—
1456#41—5842no—
1457#41—1462no—
1458#41—1462no—
1459#41—1462no—
1460#41—1462no—
1461#41—1462no—
1462#41—1462no—
1463#41—1462no—
1464#41—1462no—
1465C2×Q8—21no—
1466C2×Q8—41no—
1467C2×Q8—41no—
1468C2×Q8—2924no—
1469C2×Q8—2921no—
1470C2×Q8—2921no—
1471C2×Q8—731no—
1472C2×Q8—731no—
1473C2×Q8—731no—
1474C2×Q8—1461no—
1475C2×Q8—1461no—
1476C2×Q8—1461no—
1477C2×Q8—1462no—
1478C2×Q8—1462no—
1479C2×Q8—1461no—
1480C2×Q8C23×D7311yescharacteristic
1481C2×Q8C23×D7311yescharacteristic
1482C2×Q8C23×D7311yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—2921no—
1489C2×D4—2921no—
1490C2×D4—2924no—
1491C2×D4—2924no—
1492C2×D4—2924no—
1493C2×D4—2921no—
1494C2×D4—2921no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—731no—
1501C2×D4—731no—
1502C2×D4—1461no—
1503C2×D4—1461no—
1504C2×D4—1461no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1462no—
1508C2×D4—1462no—
1509C2×D4—1462no—
1510C2×D4—1462no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4C23×D7311yescharacteristic
1529C2×D4C23×D7311yescharacteristic
1530C2×D4C23×D7311yescharacteristic
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—21no—
1534C22×C4—21no—
1535C22×C4—5842no—
1536C22×C4—731no—
1537C22×C4—731no—
1538C22×C4—731no—
1539C22×C4—731no—
1540C22×C4—731no—
1541C22×C4—731no—
1542C22×C4—731no—
1543C22×C4—731no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4—1461no—
1552C22×C4—1461no—
1553C22×C4—1461no—
1554C22×C4—1461no—
1555C22×C4—1461no—
1556C22×C4—1461no—
1557C22×C4C23×D7311yescharacteristic
1558Q16—2921no—
1559Q16—2921no—
1560Q16—2921no—
1561Q16—2921no—
1562SD16—41no—
1563SD16—41no—
1564SD16—41no—
1565SD16—41no—
1566SD16—41no—
1567SD16—41no—
1568SD16—2921no—
1569SD16—2921no—
1570SD16—2921no—
1571SD16—2921no—
1572SD16—2921no—
1573SD16—2921no—
1574SD16—2921no—
1575SD16—2921no—
1576SD16—2921no—
1577SD16—2921no—
1578D8—41no—
1579D8—41no—
1580D8—2921no—
1581D8—2921no—
1582D8—2921no—
1583D8—2921no—
1584D8—2921no—
1585D8—2921no—
1586D8—2921no—
1587D8—2921no—
1588D8—2921no—
1589D8—2921no—
1590M16—1462no—
1591M16—1462no—
1592C2×C8—731no—
1593C2×C8—731no—
1594C2×C8—731no—
1595C2×C8—731no—
1596C2×C8—1462no—
1597C2×C8—1462no—
1598C2×C8C23×D7311yescharacteristic
1599C2×C8C23×D7311yescharacteristic
1600C2×C8C23×D7311yescharacteristic
1601C2×C8C23×D7311yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—731no—
1609C4⋊C4—731no—
1610C4⋊C4—731no—
1611C4⋊C4—731no—
1612C4⋊C4—731no—
1613C4⋊C4—731no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4D4×D7311yescharacteristic
1626C4⋊C4D4×D7311yescharacteristic
1627C4⋊C4C23×D7311yescharacteristic
1628C4⋊C4C23×D7311yescharacteristic
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—731no—
1638C22⋊C4—731no—
1639C22⋊C4—731no—
1640C22⋊C4—731no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4D4×D7311yescharacteristic
1673C22⋊C4D4×D7311yescharacteristic
1674C42—731no—
1675C42—731no—
1676C42—731no—
1677C42—731no—
1678C42—731no—
1679C42—731no—
1680C42—731no—
1681C42—731no—
1682C42—1461no—
1683C42—1461no—
1684C42—1461no—
1685C42C23×D7311yescharacteristic
1686C42C23×D7311yescharacteristic
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—2922no—
1691C23—2922no—
1692C23—2922no—
1693C23—2922no—
1694C23—5841no—
1695C23—5841no—
1696C23—5841no—
1697C23—5841no—
1698C23—5841no—
1699C23—5841no—
1700C23—5841no—
1701C23—5841no—
1702C23—731no—
1703C23—731no—
1704C23—1461no—
1705C23—1461no—
1706C23—1461no—
1707C23—1461no—
1708C23C2×D4×D7311yescharacteristic
1709Q8—21no—
1710Q8—21no—
1711Q8—21no—
1712Q8—21no—
1713Q8—21no—
1714Q8—21no—
1715Q8—42no—
1716Q8—2922no—
1717Q8—2922no—
1718Q8—5841no—
1719Q8—5841no—
1720Q8—1462no—
1721Q8—1461no—
1722Q8—1461no—
1723Q8—1461no—
1724Q8—1461no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—42no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—2922no—
1737D4—2922no—
1738D4—2922no—
1739D4—2922no—
1740D4—2922no—
1741D4—2922no—
1742D4—2922no—
1743D4—2922no—
1744D4—2922no—
1745D4—2922no—
1746D4—5841no—
1747D4—5841no—
1748D4—5841no—
1749D4—5841no—
1750D4—5841no—
1751D4—5841no—
1752D4—5841no—
1753D4—5841no—
1754D4—5841no—
1755D4—5841no—
1756D4—5841no—
1757D4—5841no—
1758D4—1462no—
1759D4—1462no—
1760D4—1462no—
1761D4—1461no—
1762D4—1461no—
1763D4—1461no—
1764D4—1461no—
1765D4—1461no—
1766D4—1461no—
1767D4—1461no—
1768D4—1461no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—42no—
1777C2×C4—42no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—2922no—
1781C2×C4—2921no—
1782C2×C4—2921no—
1783C2×C4—2921no—
1784C2×C4—2921no—
1785C2×C4—2922no—
1786C2×C4—2922no—
1787C2×C4—2922no—
1788C2×C4—2922no—
1789C2×C4—2922no—
1790C2×C4—2922no—
1791C2×C4—2922no—
1792C2×C4—2922no—
1793C2×C4—2922no—
1794C2×C4—2922no—
1795C2×C4—2921no—
1796C2×C4—2921no—
1797C2×C4—5841no—
1798C2×C4—5841no—
1799C2×C4—731no—
1800C2×C4—732no—
1801C2×C4—732no—
1802C2×C4—731no—
1803C2×C4—731no—
1804C2×C4—731no—
1805C2×C4—731no—
1806C2×C4—731no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1461no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4C2×D4×D7311yescharacteristic
1814C2×C4C2×D4×D7311yescharacteristic
1815C2×C4C2×D4×D7311yescharacteristic
1816C2×C4C2×D4×D7311yescharacteristic
1817C2×C4C2×D4×D7311yescharacteristic
1818C2×C4C24×D7311yescharacteristic
1819C8—21no—
1820C8—21no—
1821C8—21no—
1822C8—21no—
1823C8—1461no—
1824C8—1461no—
1825C8—1461no—
1826C8—1461no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—2921no—
1840C22—2921no—
1841C22—2921no—
1842C22—2921no—
1843C22—2921no—
1844C22—2921no—
1845C22—2921no—
1846C22—2921no—
1847C22—2921no—
1848C22—2921no—
1849C22—2921no—
1850C22—2921no—
1851C22—5844no—
1852C22—732no—
1853C22—11682no—
1854C22—11682no—
1855C22—11682no—
1856C22—1461no—
1857C22—1461no—
1858C22—1461no—
1859C22—1461no—
1860C22—1461no—
1861C22C22×D4×D7311yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—2921no—
1873C4—2921no—
1874C4—2921no—
1875C4—2921no—
1876C4—732no—
1877C4—1461no—
1878C4—1461no—
1879C4—1461no—
1880C4—1461no—
1881C4—1461no—
1882C4H(5,𝔽2)×D7311yescharacteristic
1883C4H(5,𝔽2)×D7311yescharacteristic
1884C2—41no—
1885C2—81no—
1886C2—81no—
1887C2—81no—
1888C2—2921no—
1889C2—5841no—
1890C2—5841no—
1891C2—5841no—
1892C2—5841no—
1893C2—1462no—
1894C2#535×D7311yescharacteristic
1895C2#2262470311yescharacteristic
1896C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3221C2
socleC22×C73C23×D4
hypercenter#3221D73
hypocenterC73#60834
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3221

Complements

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

NH ≅ G/Ntype
1. #22623720C2semidirect
2. #22623346C2semidirect
3. #22621040C2semidirect
4. #22621039C2semidirect
5. #22621027C2semidirect
6. #22621024C2semidirect
7. #22620991C2semidirect
8. #22620978C2semidirect
9. #22620975C2semidirect
10. #22620971C2semidirect
11. #22620966C2semidirect
12. #22620917C2semidirect
13. #22620913C2semidirect
14. #22620897C2semidirect
15. #22620895C2semidirect
16. #22620862C2semidirect
17. #22620861C2semidirect
18. #22620415C2semidirect
19. #22620400C2semidirect
20. #22620297C2semidirect
21. #22620284C2semidirect
22. #22619420C2semidirect
23. #22619396C2semidirect
24. #22619387C2semidirect
25. #463×D73C2semidirect
26. #22619241C2semidirect
27. #22619233C2semidirect
28. #22619212C2semidirect
29. #22619196C2semidirect
30. #22618594C2semidirect
31. C73×#3221C2semidirect
34. C2×#14556620C22semidirect
36. C2×#14556618C22semidirect
39. C2×#14556612C22semidirect
40. C2×SD16×D73C22semidirect
50. #17989217C22semidirect
51. #17989208C22semidirect
53. #17989202C22semidirect
54. #17989188C22semidirect
60. #17989162C22semidirect
61. #17989156C22semidirect
63. #17989155C22semidirect
65. #17989150C22semidirect
67. #17989138C22semidirect
68. #17989135C22semidirect
69. #17989133C22semidirect
71. #17989132C22semidirect
72. #17989122C22semidirect
73. #17989118C22semidirect
75. C2×#14556580C22semidirect
77. #124×D73C22semidirect
81. C4×#11924027C22semidirect
82. C4×D4×D73C22semidirect
83. #17988979C22semidirect
84. #17988978C22semidirect
85. #17988976C22semidirect
86. #17988975C22semidirect
87. #17988974C22semidirect
88. #17988973C22semidirect
89. #17988973C22semidirect
90. #17988971C22semidirect
91. #17988969C22semidirect
92. #17988968C22semidirect
93. #17988968C22semidirect
94. #17988963C22semidirect
95. #17988962C22semidirect
96. #17988958C22semidirect
97. #17988954C22semidirect
98. #17988953C22semidirect
99. #17988950C22semidirect
100. #17988948C22semidirect
101. #17988948C22semidirect
102. #17988947C22semidirect
103. #17988946C22semidirect
104. #17988944C22semidirect
105. #17988943C22semidirect
106. #17988943C22semidirect
107. #17988937C22semidirect
108. #17988936C22semidirect
109. #17988934C22semidirect
110. #17988932C22semidirect
111. #17988812C22semidirect
112. #17988812C22semidirect
113. #17988812C22semidirect
114. #17988810C22semidirect
115. #17988808C22semidirect
116. #17988806C22semidirect
117. #17988805C22semidirect
118. #17988805C22semidirect
119. #17988805C22semidirect
120. #17988804C22semidirect
121. #17988804C22semidirect
122. #17988804C22semidirect
123. #17988804C22semidirect
124. #17988804C22semidirect
125. #17988804C22semidirect
126. #17988803C22semidirect
127. #17988802C22semidirect
128. #17988802C22semidirect
129. #17988801C22semidirect
130. #17988800C22semidirect
131. #17988800C22semidirect
132. #17988799C22semidirect
133. #17988794C22semidirect
134. #17988789C22semidirect
135. #17988788C22semidirect
136. #17988783C22semidirect
137. #17988782C22semidirect
138. #17988782C22semidirect
139. #17988752C22semidirect
140. #17988752C22semidirect
141. #17988751C22semidirect
142. #17988749C22semidirect
143. #17988744C22semidirect
144. #17988743C22semidirect
145. #17988740C22semidirect
146. #17988739C22semidirect
148. #17988735C22semidirect
149. #17988734C22semidirect
152. #17988731C22semidirect
153. #17988731C22semidirect
154. #17988731C22semidirect
155. #17988730C22semidirect
156. #17988730C22semidirect
157. #17988727C22semidirect
158. #17988726C22semidirect
159. #17988724C22semidirect
160. #17988724C22semidirect
164. #17988720C22semidirect
166. #17988719C22semidirect
167. #17988648C22semidirect
168. #17988647C22semidirect
169. #17988647C22semidirect
170. #17988642C22semidirect
171. #17988641C22semidirect
172. #17988638C22semidirect
173. #17988637C22semidirect
174. #17988609C22semidirect
175. C4⋊C8×D73C22semidirect
176. #17988594C22semidirect
179. #17988587C22semidirect
181. #17988582C22semidirect
182. #103×D73C22semidirect
186. #17988544C22semidirect
187. #17988541C22semidirect
188. #540×C73C22semidirect
189. #536×C73C22semidirect
190. #496×C73C22semidirect
191. #492×C73C22semidirect
192. #491×C73C22semidirect
193. #488×C73C22semidirect
194. #463×C73C22semidirect
195. #463×C73C22semidirect
196. #461×C73C22semidirect
197. #461×C73C22semidirect
199. #449×C73C22semidirect
200. #448×C73C22semidirect
201. #448×C73C22semidirect
202. #433×C73C22semidirect
956. #3221D73semidirect
980. C73#60834semidirect
1005. #540C2×D73semidirect
1011. #536C2×D73semidirect
1041. #496C2×D73semidirect
1049. #492C2×D73semidirect
1051. #491C2×D73semidirect
1061. #488C2×D73semidirect
1088. #463C2×D73semidirect
1089. #463C2×D73semidirect
1092. #461C2×D73semidirect
1093. #461C2×D73semidirect
1117. #449C2×D73semidirect
1122. #448C2×D73semidirect
1123. #448C2×D73semidirect
1133. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237202
#226233462
#226210402
#226210392
#226210272
#226210242
#226209912
#226209782
#226209752
#226209712
#226209662
#226209172
#226209132
#226208972
#226208952
#226208622
#226208612
#226204152
#226204002
#226202972
#226202842
#226194202
#226193962
#226193872
#463×D732
#226192412
#226192332
#226192122
#226191962
#226185942
C73×#32212
#6083473