Finite Group Databasebeta

← #33972216

Subgroups — #33972216

Order 18688.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624252C211yesmaximal, characteristic, complemented
2#22623591C211yesmaximal, characteristic, complemented
3#22622080C211yesmaximal, characteristic, complemented
4#22621952C211yesmaximal, characteristic, complemented
5#22621944C211yesmaximal, characteristic, complemented
6#22621928C211yesmaximal, characteristic, complemented
7#22621876C211yesmaximal, characteristic, complemented
8#22621820C211yesmaximal, characteristic, complemented
9#22621786C211yesmaximal, characteristic, complemented
10#22621737C211yesmaximal, characteristic, complemented
11#22621689C211yesmaximal, characteristic, complemented
12#22621642C211yesmaximal, characteristic, complemented
13#22621616C211yesmaximal, characteristic, complemented
14#22621477C211yesmaximal, characteristic, complemented
15#22621469C211yesmaximal, characteristic, complemented
16#22621422C211yesmaximal, characteristic, complemented
17#22621411C211yesmaximal, characteristic, complemented
18#22621022C211yesmaximal, characteristic, complemented
19#22620974C211yesmaximal, characteristic, complemented
20#22620827C211yesmaximal, characteristic, complemented
21#22620779C211yesmaximal, characteristic, complemented
22#22620691C211yesmaximal, characteristic, complemented
23#22620680C211yesmaximal, characteristic, complemented
24#22620189C211yesmaximal, characteristic, complemented
25#22620127C211yesmaximal, characteristic, complemented
26#22619230C211yesmaximal, characteristic, complemented
27#22619195C211yesmaximal, characteristic, complemented
28#22619144C211yesmaximal, characteristic, complemented
29C2×#17988729C211yesmaximal, characteristic, complemented
30#22618984C211yesmaximal, characteristic, complemented
31D4×D8×C73C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic, complemented
33C22×#11924027C2211yescharacteristic, complemented
34C2×#14556617C2211yescharacteristic, complemented
35C2×#14556615C2211yescharacteristic, complemented
36C2×#14556610C2211yescharacteristic, complemented
37C2×#14556610C2211yescharacteristic, complemented
38C2×#14556610C2211yescharacteristic, complemented
39C22×#11924016C2211yescharacteristic, complemented
40#17989332—21no—
41#17989326—21no—
42#17989301C2211yescharacteristic, complemented
43#17989287C2211yescharacteristic, complemented
44#17989277C2211yescharacteristic, complemented
45#17989268—21no—
46#17989257C2211yescharacteristic, complemented
47#17989257C2211yescharacteristic, complemented
48#17989255C2211yescharacteristic, complemented
49#17989246C2211yescharacteristic
50#17989243C2211yescharacteristic, complemented
51#17989237C2211yescharacteristic, complemented
52#17989232C2211yescharacteristic, complemented
53#17989231—21no—
54#17989231C2211yescharacteristic, complemented
55#17989231C2211yescharacteristic, complemented
56#17989231C2211yescharacteristic, complemented
57#17989226—21no—
58#17989224—21no—
59D4×C22⋊D73—21no—
60D4×C22⋊D73C2211yescharacteristic, complemented
61#17989219—21no—
62#17989202C2211yescharacteristic, complemented
63#17989191C2211yescharacteristic, complemented
64#17989187—21no—
65#17989172—21no—
66#17989166C2211yescharacteristic, complemented
67#17989166C2211yescharacteristic, complemented
68#17989164—21no—
69#17989154C2211yescharacteristic, complemented
70#17989152—21no—
71#17989152—21no—
72#17989150C2211yescharacteristic, complemented
73#17989146—21no—
74#17989097C2211yescharacteristic, complemented
75#17989096C2211yescharacteristic
76#17989093—21no—
77C2×#14556563—21no—
78C2×#14556562C2211yescharacteristic, complemented
79#121×D73C2211yescharacteristic, complemented
80#17989066C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988974C2211yescharacteristic, complemented
83#17988970C2211yescharacteristic, complemented
84#17988951C2211yescharacteristic, complemented
85#17988945C2211yescharacteristic, complemented
86#17988942C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988929C2211yescharacteristic, complemented
89#17988924C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic, complemented
93#17988908C2211yescharacteristic, complemented
94#17988904C2211yescharacteristic, complemented
95#17988901C2211yescharacteristic, complemented
96#17988899C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988898C2211yescharacteristic, complemented
100#17988895C2211yescharacteristic, complemented
101#17988887C2211yescharacteristic, complemented
102#17988881C2211yescharacteristic, complemented
103#17988865C2211yescharacteristic, complemented
104#17988837C2211yescharacteristic, complemented
105#17988832C2211yescharacteristic, complemented
106#17988831C2211yescharacteristic, complemented
107#17988831C2211yescharacteristic, complemented
108#17988828C2211yescharacteristic, complemented
109#17988822C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988820C2211yescharacteristic, complemented
113#17988820C2211yescharacteristic, complemented
114#17988820C2211yescharacteristic, complemented
115#17988816C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic, complemented
117#17988814C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988808C2211yescharacteristic, complemented
120#17988802C2211yescharacteristic, complemented
121#17988800C2211yescharacteristic, complemented
122#17988800C2211yescharacteristic, complemented
123#17988800C2211yescharacteristic, complemented
124#17988784C2211yescharacteristic, complemented
125#17988784C2211yescharacteristic, complemented
126#17988780C2211yescharacteristic, complemented
127#17988780C2211yescharacteristic, complemented
128#17988751C2211yescharacteristic, complemented
129#17988750C2211yescharacteristic, complemented
130#17988750C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic, complemented
132#17988745C2211yescharacteristic, complemented
133#17988739C2211yescharacteristic, complemented
134#17988738C2211yescharacteristic, complemented
135#17988738C2211yescharacteristic, complemented
136#17988738C2211yescharacteristic, complemented
137#17988733C2211yescharacteristic, complemented
138#17988730C2211yescharacteristic, complemented
139#17988729C2211yescharacteristic
140#17988729C2211yescharacteristic, complemented
141#17988729C2211yescharacteristic, complemented
142#17988729C2211yescharacteristic, complemented
143#17988729C2211yescharacteristic, complemented
144#17988729C2211yescharacteristic, complemented
145#17988729C2211yescharacteristic, complemented
146#17988729C2211yescharacteristic, complemented
147#17988729C2211yescharacteristic, complemented
148#17988729C2211yescharacteristic, complemented
149#17988729C2211yescharacteristic, complemented
150#17988729C2211yescharacteristic, complemented
151#17988729C2211yescharacteristic, complemented
152#17988729C2211yescharacteristic, complemented
153#17988725C2211yescharacteristic, complemented
154#17988721C2211yescharacteristic, complemented
155#17988719C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988699C2211yescharacteristic, complemented
161#17988687C2211yescharacteristic, complemented
162#17988687C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164C4×Dic292C2211yescharacteristic, complemented
165#17988678C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic, complemented
167#17988661C2211yescharacteristic, complemented
168#17988659C2211yescharacteristic, complemented
169#17988658C2211yescharacteristic, complemented
170#17988657C2211yescharacteristic, complemented
171C8×D292C2211yescharacteristic, complemented
172C8×C22⋊D73C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988647C2211yescharacteristic, complemented
175#17988646C2211yescharacteristic, complemented
176#17988592C2211yescharacteristic, complemented
177#17988585C2211yescharacteristic, complemented
178#17988584C2211yescharacteristic, complemented
179#17988580C2211yescharacteristic, complemented
180#17988580C2211yescharacteristic, complemented
181C2×#14556516C2211yescharacteristic, complemented
182C2×#14556512C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988553C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186C2×#14556503C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188C22×D8×C73C2211yescharacteristic, complemented
189C22×D8×C73C2211yescharacteristic, complemented
190D42×C73C2211yescharacteristic
191D42×C73C2211yescharacteristic, complemented
192#493×C73C2211yescharacteristic, complemented
193#466×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#459×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#447×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199#447×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic, complemented
202C8×D4×C73C2211yescharacteristic, complemented
203#14556636—42no—
204#14556636—42no—
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027—42no—
212C2×#11924027—42no—
213C2×#11924027C2311yescharacteristic
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C2×#11924027C2311yescharacteristic
219C2×#11924027C2311yescharacteristic
220C22×Dic146C2311yescharacteristic
221C22×C22⋊D73—21no—
222C22×C22⋊D73—21no—
223C22×C22⋊D73—21no—
224C22×C22⋊D73—21no—
225C22×C22⋊D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C23×Dic73—21no—
231C22×C4×D73C2311yescharacteristic
232#14556617—42no—
233#14556615—42no—
234#14556610—42no—
235#14556610—42no—
236#14556610—42no—
237C2×Dic292C2311yescharacteristic
238C2×Dic292C2311yescharacteristic
239C2×#11924017C2311yescharacteristic
240C2×#11924016—42no—
241C2×#11924016C2311yescharacteristic
242C2×#11924016C2311yescharacteristic
243C2×#11924016C2311yescharacteristic
244C2×#11924016C2311yescharacteristic
245C2×#11924016C2311yescharacteristic
246C2×#11924016C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924013C2311yescharacteristic
253C2×#11924012C2311yescharacteristic
254C2×#11924011C2311yescharacteristic
255C22×#10596831C2311yescharacteristic
256C2×C8×D73C2311yescharacteristic
257C2×C8×D73C2311yescharacteristic
258C2×C8×D73C2311yescharacteristic
259#14556590C2311yescharacteristic
260#14556587—21no—
261#14556587—21no—
262#14556587—21no—
263#14556587—21no—
264#14556587C2311yescharacteristic
265#14556584—21no—
266#14556584—21no—
267#14556584—21no—
268#14556583C2311yescharacteristic
269#14556581—21no—
270#14556579C2311yescharacteristic
271#14556578—21no—
272#14556578—21no—
273#14556578C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556576D411yescharacteristic
280#14556575—21no—
281#14556574—21no—
282#14556574—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573D411yescharacteristic
286#14556572—21no—
287#14556572—21no—
288#14556572—21no—
289#14556572—21no—
290#14556572—21no—
291#14556572—21no—
292#14556572—21no—
293#14556571C2311yescharacteristic
294#14556571C2311yescharacteristic
295#14556570—21no—
296#14556570C2311yescharacteristic
297#14556570C2311yescharacteristic
298#14556570C2311yescharacteristic
299#14556569—21no—
300#14556569D411yescharacteristic
301#14556568—21no—
302#14556568—21no—
303#14556568—21no—
304#14556568—21no—
305#14556568D411yescharacteristic
306#14556566C2311yescharacteristic
307#14556565—21no—
308#14556565C2311yescharacteristic
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564D411yescharacteristic
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556563—21no—
334#14556563D411yescharacteristic
335#14556562—21no—
336#14556562—21no—
337#14556562—21no—
338#14556562—21no—
339#14556562C2311yescharacteristic
340#14556562C2311yescharacteristic
341#14556562C2311yescharacteristic
342#14556562C2311yescharacteristic
343#14556562C2311yescharacteristic
344#14556562C2311yescharacteristic
345#14556562C2311yescharacteristic
346#14556562C2311yescharacteristic
347#14556562C2311yescharacteristic
348#14556561—21no—
349#14556561D411yescharacteristic
350#14556560—21no—
351#14556560—21no—
352#14556560—21no—
353#14556560—21no—
354#14556560—21no—
355#14556560—21no—
356#14556559—21no—
357#14556559—21no—
358#14556559—21no—
359#14556559—21no—
360#14556559D411yescharacteristic
361C4×Dic146C2311yescharacteristic
362C4×Dic146C2311yescharacteristic
363#14556556C2311yescharacteristic
364C4×D292C2311yescharacteristic
365D4×Dic73—21no—
366D4×Dic73—21no—
367D4×Dic73—21no—
368D4×Dic73—21no—
369D4×Dic73C2311yescharacteristic
370D4×Dic73C2311yescharacteristic
371D4×Dic73C2311yescharacteristic
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73C2311yescharacteristic
375C4×C22⋊D73C2311yescharacteristic
376#14556551—21no—
377#14556551—21no—
378#14556551—21no—
379#14556551—21no—
380#14556550C2311yescharacteristic
381#14556549C2311yescharacteristic
382#14556548C2311yescharacteristic
383#14556547—21no—
384#14556547—21no—
385#14556547—21no—
386C2×C4⋊Dic73C2311yescharacteristic
387C2×#11924007—21no—
388C4⋊C4×D73C2311yescharacteristic
389C4⋊C4×D73C2311yescharacteristic
390C2×C22⋊Dic73—21no—
391C2×C22⋊Dic73—21no—
392C2×C22⋊Dic73—21no—
393C2×C22⋊Dic73—21no—
394C2×#11924005—21no—
395C22⋊C4×D73—21no—
396#14556525C2311yescharacteristic
397#14556525C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556524C2311yescharacteristic
401#14556523C2311yescharacteristic
402#14556522C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556502C2311yescharacteristic
443#14556501C2311yescharacteristic
444C8×Dic73C2311yescharacteristic
445C22×D4×C73—21no—
446C22×D4×C73—21no—
447C22×D4×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450C22×D4×C73C2311yescharacteristic
451C2×D8×C73—42no—
452C2×D8×C73—42no—
453C2×D8×C73C2311yescharacteristic
454C2×D8×C73C2311yescharacteristic
455C2×D8×C73C2311yescharacteristic
456C2×D8×C73C2311yescharacteristic
457C2×D8×C73C2311yescharacteristic
458C2×D8×C73C2311yescharacteristic
459C2×D8×C73C2311yescharacteristic
460C2×D8×C73C2311yescharacteristic
461C2×D8×C73C2311yescharacteristic
462C22×C8×C73C2311yescharacteristic
463C22×C8×C73C2311yescharacteristic
464#127×C73C2311yescharacteristic
465#127×C73C2311yescharacteristic
466#121×C73—21no—
467#121×C73—21no—
468#121×C73C2311yescharacteristic
469#121×C73C2311yescharacteristic
470#121×C73C2311yescharacteristic
471#121×C73C2311yescharacteristic
472#120×C73—21no—
473#120×C73—21no—
474#120×C73—21no—
475#120×C73—21no—
476C4×D4×C73C2311yescharacteristic
477C4×D4×C73C2311yescharacteristic
478C4×D4×C73C2311yescharacteristic
479#107×C73C2311yescharacteristic
480C4⋊C8×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73C2×D411yescharacteristic
493#11924028—22no—
494#11924028—41no—
495#11924028—41no—
496#11924028—41no—
497#11924027—22no—
498#11924027—22no—
499#11924027—22no—
500#11924027—22no—
501#11924027—22no—
502#11924027—41no—
503#11924027—41no—
504#11924027—41no—
505#11924027—41no—
506#11924027—41no—
507#11924027—41no—
508#11924027—41no—
509#11924027—41no—
510#11924027—41no—
511#11924027—44no—
512#11924027—44no—
513#11924027—44no—
514#11924027—82no—
515C2×Dic146—22no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146—41no—
519C2×Dic146C2×D411yescharacteristic
520C2×Dic146C2411yescharacteristic
521C2×Dic146C2411yescharacteristic
522C2×Dic146C2411yescharacteristic
523C2×D292—21no—
524C2×D292C2×D411yescharacteristic
525C2×D292C2×D411yescharacteristic
526C2×D292C2411yescharacteristic
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—44no—
550C2×C22⋊D73—44no—
551C2×C22⋊D73—44no—
552C2×C22⋊D73—82no—
553C2×C22⋊D73—82no—
554C2×C22⋊D73C2×D411yescharacteristic
555C2×C22⋊D73C2×D411yescharacteristic
556C2×C22⋊D73C2×D411yescharacteristic
557C2×C22⋊D73C2×D411yescharacteristic
558D4×D73—22no—
559D4×D73—41no—
560D4×D73—41no—
561D4×D73—41no—
562D4×D73—44no—
563D4×D73—82no—
564C22×Dic73—21no—
565C22×Dic73—21no—
566C22×Dic73—21no—
567C22×Dic73—21no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73—21no—
571C22×Dic73—21no—
572C22×Dic73—21no—
573C22×Dic73—21no—
574C22×Dic73—21no—
575C22×Dic73—21no—
576C22×Dic73—44no—
577C22×Dic73C2×D411yescharacteristic
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—41no—
582C2×C4×D73—41no—
583C2×C4×D73C2×D411yescharacteristic
584C2×C4×D73C2×D411yescharacteristic
585C2×C4×D73C2411yescharacteristic
586C2×C4×D73C2411yescharacteristic
587C2×C4×D73C2411yescharacteristic
588Dic292—22no—
589Dic292—41no—
590#11924017—41no—
591#11924016—22no—
592#11924016—22no—
593#11924016—22no—
594#11924016—22no—
595#11924016—41no—
596#11924016—41no—
597#11924016—41no—
598#11924016—41no—
599#11924016—41no—
600#11924013—41no—
601#11924013—41no—
602#11924013—41no—
603#11924012—41no—
604#11924011—41no—
605C2×#10596831—41no—
606C2×#10596831C2411yescharacteristic
607C2×#10596831C2411yescharacteristic
608C2×#10596831C2411yescharacteristic
609C2×#10596831C2411yescharacteristic
610C8×D73—41no—
611C8×D73—41no—
612C8×D73—41no—
613C4⋊Dic73—21no—
614C4⋊Dic73—21no—
615C4⋊Dic73—21no—
616C4⋊Dic73C2×D411yescharacteristic
617C4⋊Dic73C2411yescharacteristic
618C4⋊Dic73C2411yescharacteristic
619C4⋊Dic73C2411yescharacteristic
620C4⋊Dic73C2411yescharacteristic
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007C2×D411yescharacteristic
633#11924007C2×D411yescharacteristic
634#11924007C2×D411yescharacteristic
635#11924007C2×D411yescharacteristic
636C22⋊Dic73—21no—
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—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655C22⋊Dic73—21no—
656C22⋊Dic73C2×D411yescharacteristic
657C22⋊Dic73C2×D411yescharacteristic
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005C2×D411yescharacteristic
666#11924005C2×D411yescharacteristic
667#11924005C2×D411yescharacteristic
668#11924005C2×D411yescharacteristic
669#11924005C2×D411yescharacteristic
670#11924005C2×D411yescharacteristic
671C4×Dic73—21no—
672C4×Dic73—21no—
673C4×Dic73—21no—
674C4×Dic73—21no—
675C4×Dic73—21no—
676C4×Dic73C2411yescharacteristic
677C24×C73—21no—
678C24×C73—21no—
679C24×C73—21no—
680C24×C73—21no—
681C2×D4×C73—22no—
682C2×D4×C73—22no—
683C2×D4×C73—21no—
684C2×D4×C73—21no—
685C2×D4×C73—21no—
686C2×D4×C73—21no—
687C2×D4×C73—21no—
688C2×D4×C73—21no—
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—41no—
696C2×D4×C73—41no—
697C2×D4×C73—41no—
698C2×D4×C73—41no—
699C2×D4×C73—41no—
700C2×D4×C73—41no—
701C2×D4×C73—82no—
702C2×D4×C73—82no—
703C2×D4×C73C2×D411yescharacteristic
704C2×D4×C73C2411yescharacteristic
705C2×D4×C73C2411yescharacteristic
706C2×D4×C73C2411yescharacteristic
707C2×D4×C73C2411yescharacteristic
708C2×D4×C73C2411yescharacteristic
709C2×D4×C73C2411yescharacteristic
710C22×C4×C73—21no—
711C22×C4×C73—21no—
712C22×C4×C73C2411yescharacteristic
713C22×C4×C73C2411yescharacteristic
714D8×C73—22no—
715D8×C73—22no—
716D8×C73—22no—
717D8×C73—41no—
718D8×C73—41no—
719D8×C73—41no—
720D8×C73—41no—
721D8×C73—41no—
722D8×C73—41no—
723C2×C8×C73—41no—
724C2×C8×C73—41no—
725C2×C8×C73C2411yescharacteristic
726C2×C8×C73C2411yescharacteristic
727C2×C8×C73C2411yescharacteristic
728C2×C8×C73C2411yescharacteristic
729C4⋊C4×C73C2×D411yescharacteristic
730C4⋊C4×C73C2411yescharacteristic
731C4⋊C4×C73C2411yescharacteristic
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73C2×D411yescharacteristic
739C22⋊C4×C73C2×D411yescharacteristic
740C42×C73C2411yescharacteristic
741C23×C73—21no—
742C23×C73—21no—
743C23×C73—21no—
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—21no—
747C23×C73—42no—
748C23×C73—42no—
749C23×C73—42no—
750C23×C73—42no—
751C23×C73—81no—
752C23×C73—81no—
753C23×C73—81no—
754C23×C73—81no—
755C23×C73—81no—
756C23×C73—81no—
757C23×C73—81no—
758C23×C73—81no—
759C23×C73C22×D411yescharacteristic
760C23×C73C22×D411yescharacteristic
761C22×D73—22no—
762C22×D73—21no—
763C22×D73—41no—
764C22×D73—41no—
765C22×D73—42no—
766C22×D73—42no—
767C22×D73—81no—
768C22×D73—81no—
769C22×D73—81no—
770C22×D73—81no—
771C22×D73C22×D411yescharacteristic
772C22×D73C22×D411yescharacteristic
773C22×D73C22×D411yescharacteristic
774D4×C73—22no—
775D4×C73—21no—
776D4×C73—21no—
777D4×C73—21no—
778D4×C73—21no—
779D4×C73—21no—
780D4×C73—21no—
781D4×C73—21no—
782D4×C73—21no—
783D4×C73—21no—
784D4×C73—21no—
785D4×C73—21no—
786D4×C73—42no—
787D4×C73—42no—
788D4×C73—42no—
789D4×C73—42no—
790D4×C73—81no—
791D4×C73—81no—
792D4×C73—81no—
793D4×C73—81no—
794D4×C73—81no—
795D4×C73—81no—
796D4×C73—81no—
797D4×C73—81no—
798D4×C73H(5,𝔽2)12yes—
799C2×C4×C73—21no—
800C2×C4×C73—21no—
801C2×C4×C73—21no—
802C2×C4×C73—21no—
803C2×C4×C73—21no—
804C2×C4×C73—21no—
805C2×C4×C73—81no—
806C2×C4×C73—81no—
807C2×C4×C73C22×D411yescharacteristic
808C2×C4×C73C22×D411yescharacteristic
809C2×C4×C73C22×D411yescharacteristic
810C2×C4×C73C22×D411yescharacteristic
811C2×C4×C73C2511yescharacteristic
812C22⋊D73—24no—
813C22⋊D73—22no—
814C22⋊D73—41no—
815C22⋊D73—41no—
816C22⋊D73—41no—
817C22⋊D73—42no—
818C22⋊D73—42no—
819C22⋊D73—42no—
820C22⋊D73—42no—
821C22⋊D73—42no—
822C22⋊D73—42no—
823C22⋊D73—42no—
824C22⋊D73—42no—
825C22⋊D73—81no—
826C22⋊D73—81no—
827C22⋊D73—81no—
828C22⋊D73—81no—
829C22⋊D73—81no—
830C22⋊D73—81no—
831C22⋊D73—81no—
832C22⋊D73—81no—
833C22⋊D73—81no—
834C22⋊D73—81no—
835C22⋊D73—81no—
836C22⋊D73—81no—
837C22⋊D73—81no—
838C2×Dic73—24no—
839C2×Dic73—21no—
840C2×Dic73—21no—
841C2×Dic73—21no—
842C2×Dic73—21no—
843C2×Dic73—21no—
844C2×Dic73—21no—
845C2×Dic73—21no—
846C2×Dic73—41no—
847C2×Dic73—42no—
848C2×Dic73—42no—
849C2×Dic73—42no—
850C2×Dic73—42no—
851C2×Dic73—42no—
852C2×Dic73—42no—
853C2×Dic73—81no—
854C2×Dic73—81no—
855C2×Dic73—81no—
856C2×Dic73—81no—
857C2×Dic73—81no—
858C2×Dic73C22×D411yescharacteristic
859C2×Dic73C22×D411yescharacteristic
860C2×Dic73C22×D411yescharacteristic
861C2×Dic73C22×D411yescharacteristic
862C2×Dic73C22×D411yescharacteristic
863D292—21no—
864D292—21no—
865D292—41no—
866D292—41no—
867D292—81no—
868C4×D73—21no—
869C4×D73—21no—
870C4×D73—21no—
871C4×D73—21no—
872C4×D73—21no—
873C4×D73—21no—
874C4×D73—41no—
875C4×D73—41no—
876C4×D73—42no—
877C4×D73—81no—
878C4×D73—81no—
879Dic146—21no—
880Dic146—21no—
881Dic146—21no—
882Dic146—21no—
883Dic146—21no—
884Dic146—41no—
885Dic146—42no—
886Dic146—81no—
887Dic146H(5,𝔽2)12yes—
888C8×C73—21no—
889C8×C73—21no—
890C8×C73—21no—
891C8×C73—21no—
892#10596831—21no—
893#10596831—21no—
894#10596831—21no—
895#10596831—21no—
896C22×C73—21no—
897C22×C73—21no—
898C22×C73—21no—
899C22×C73—22no—
900C22×C73—21no—
901C22×C73—21no—
902C22×C73—41no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73—41no—
906C22×C73—41no—
907C22×C73—41no—
908C22×C73—41no—
909C22×C73—41no—
910C22×C73—41no—
911C22×C73—41no—
912C22×C73—41no—
913C22×C73—41no—
914C22×C73—41no—
915C22×C73—41no—
916C22×C73—41no—
917C22×C73—41no—
918C22×C73—41no—
919C22×C73—84no—
920C22×C73—162no—
921C22×C73—162no—
922C22×C73—162no—
923C22×C73#57612yes—
924C22×C73C23×D411yescharacteristic
925C2×D73—21no—
926C2×D73—21no—
927C2×D73—21no—
928C2×D73—21no—
929C2×D73—21no—
930C2×D73—21no—
931C2×D73—21no—
932C2×D73—21no—
933C2×D73—21no—
934C2×D73—41no—
935C2×D73—41no—
936C2×D73—41no—
937C2×D73—82no—
938C2×D73—162no—
939C2×D73—162no—
940C4×C73—21no—
941C4×C73—21no—
942C4×C73—21no—
943C4×C73—21no—
944C4×C73—41no—
945C4×C73—41no—
946C4×C73C2×H(5,𝔽2)11yescharacteristic
947C4×C73C2×H(5,𝔽2)11yescharacteristic
948Dic73—21no—
949Dic73—22no—
950Dic73—21no—
951Dic73—21no—
952Dic73—21no—
953Dic73—21no—
954Dic73—41no—
955Dic73—41no—
956Dic73—41no—
957Dic73—41no—
958Dic73—41no—
959Dic73—41no—
960#61639—731nomaximal, Sylow
961C2×C73—22no—
962C2×C73—42no—
963C2×C73—41no—
964C2×C73—81no—
965C2×C73—81no—
966C2×C73—81no—
967C2×C73—81no—
968C2×C73—81no—
969C2×C73#348411yescharacteristic
970C2×C73C2×#57611yescharacteristic
971C2×C73#358411yescharacteristic
972D73—41no—
973D73—41no—
974D73—41no—
975D73—81no—
976#3542—731no—
977#3488—731no—
978#3319—731no—
979#3310—731no—
980#3309—731no—
981#3308—731no—
982#3305—731no—
983#3300—731no—
984#3297—731no—
985#3294—731no—
986#3287—731no—
987#3282—731no—
988#3280—731no—
989D4×D8D7311yescharacteristic, complemented
990#3268—731no—
991#3268—731no—
992#3265—731no—
993#3264—731no—
994#3224—731no—
995#3220—731no—
996#3203—731no—
997#3198—731no—
998#3188—731no—
999#3186—731no—
1000#3124—731no—
1001#3119—731no—
1002#3012—731no—
1003#3008—731no—
1004#3002—731no—
1005C2×#449—731no—
1006#2977—731no—
1007C73#6163911yescharacteristic, complemented, Sylow
1008C2×H(5,𝔽2)—731no—
1009C22×#41—731no—
1010C2×AGL(1,ℤ/8)—731no—
1011C2×AGL(1,ℤ/8)—731no—
1012C2×#135—731no—
1013C2×#135—731no—
1014C2×#135—731no—
1015C22×SD16—731no—
1016C22×D8C2×D7311yescharacteristic, complemented
1017C22×D8C2×D7311yescharacteristic, complemented
1018#562—1461no—
1019#560—1461no—
1020#555—731no—
1021#553—731no—
1022#552—731no—
1023#551—1461no—
1024#550—731no—
1025#550—731no—
1026#550—731no—
1027#548—731no—
1028#548—731no—
1029#547—731no—
1030#546—731no—
1031#546—731no—
1032#546—731no—
1033#546—731no—
1034#546—1461no—
1035#546—1461no—
1036#546—1461no—
1037D42—731no—
1038D42—1461no—
1039D42—1461no—
1040D42C2×D7311yescharacteristic
1041D42C2×D7311yescharacteristic, complemented
1042#542—731no—
1043#540—731no—
1044#540—1461no—
1045#538—1461no—
1046#537—731no—
1047#537—731no—
1048#537—1461no—
1049#535—731no—
1050#535—731no—
1051#535—1461no—
1052#535—1461no—
1053#534—1461no—
1054#525—731no—
1055#525—731no—
1056#525—1461no—
1057C2×#121—731no—
1058C2×#121—731no—
1059C2×#121—1461no—
1060#520—731no—
1061#496—731no—
1062#496—731no—
1063#495—731no—
1064#493C2×D7311yescharacteristic, complemented
1065#490—731no—
1066#489—731no—
1067#488—731no—
1068#486—731no—
1069#485—731no—
1070#484—731no—
1071#484—731no—
1072#482—731no—
1073#482—731no—
1074#482—731no—
1075#481—731no—
1076#480—731no—
1077#480—731no—
1078#480—731no—
1079#480—731no—
1080#480—731no—
1081#479—731no—
1082#478—731no—
1083#477—731no—
1084#474—731no—
1085#469—731no—
1086#468—731no—
1087#468—731no—
1088#468—731no—
1089#467—731no—
1090#466—731no—
1091#466—731no—
1092#466—731no—
1093#466—731no—
1094#466—731no—
1095#466—731no—
1096#466C2×D7311yescharacteristic, complemented
1097#466C2×D7311yescharacteristic, complemented
1098#465—731no—
1099#465—731no—
1100#465—731no—
1101#464—731no—
1102#464—731no—
1103#463—731no—
1104#463—731no—
1105#463—731no—
1106#463—731no—
1107#460—731no—
1108#460—731no—
1109#459—731no—
1110#459—731no—
1111#459C2×D7311yescharacteristic, complemented
1112#459C2×D7311yescharacteristic, complemented
1113#452—731no—
1114#452—731no—
1115#452—731no—
1116#452—731no—
1117#451—731no—
1118#450—731no—
1119#450—731no—
1120#450—731no—
1121#450—731no—
1122#449—731no—
1123#449—731no—
1124#449—731no—
1125#449—731no—
1126#449—731no—
1127#449—731no—
1128#449—731no—
1129#449—731no—
1130#449—731no—
1131#449—731no—
1132#449—731no—
1133#449—731no—
1134#449—731no—
1135#449—731no—
1136#449—731no—
1137#449—731no—
1138#448—731no—
1139#447—731no—
1140#447—731no—
1141#447—731no—
1142#447—731no—
1143#447—731no—
1144#447—731no—
1145#447C2×D7311yescharacteristic, complemented
1146#447C2×D7311yescharacteristic, complemented
1147#447C2×D7311yescharacteristic, complemented
1148#447C2×D7311yescharacteristic, complemented
1149#442—731no—
1150#440—731no—
1151#440—731no—
1152#440—731no—
1153C4×Q16—731no—
1154C4×SD16—731no—
1155C4×D8—731no—
1156C4×D8C2×D7311yescharacteristic, complemented
1157#435—731no—
1158#435—731no—
1159#435—731no—
1160#435—731no—
1161C8×D4—731no—
1162C8×D4—731no—
1163C8×D4—731no—
1164C8×D4C2×D7311yescharacteristic, complemented
1165#433—731no—
1166#433—731no—
1167#418—731no—
1168#417—731no—
1169#416—731no—
1170#416—731no—
1171#416—731no—
1172C2×#103—731no—
1173C2×#102—731no—
1174C2×#102—731no—
1175#408—731no—
1176#408—731no—
1177C2×C22⋊C8—731no—
1178C2×C22⋊C8—731no—
1179H(5,𝔽2)—2922no—
1180H(5,𝔽2)—2922no—
1181C2×#41—2922no—
1182C2×#41—2922no—
1183C2×#41—731no—
1184C2×#41—731no—
1185C2×#41—731no—
1186C2×#41—731no—
1187C2×#41—731no—
1188C2×#41—731no—
1189C2×#41—731no—
1190C2×#41—731no—
1191C2×#41—731no—
1192C2×#41—1461no—
1193C2×#41—1461no—
1194C2×#41—1461no—
1195C2×#41—1461no—
1196C22×Q8—731no—
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—731no—
1200C22×D4—731no—
1201C22×D4—1461no—
1202C22×D4—1461no—
1203C22×D4—1461no—
1204C22×D4—1461no—
1205C22×D4—1461no—
1206C22×D4—1461no—
1207C22×D4—1461no—
1208C22×D4C22×D7311yescharacteristic
1209C22×D4C22×D7311yescharacteristic
1210C22×D4C22×D7311yescharacteristic
1211C22×D4C22×D7311yescharacteristic
1212C23×C4—731no—
1213C23×C4—1461no—
1214AGL(1,ℤ/8)—2922no—
1215AGL(1,ℤ/8)—2922no—
1216#135—2922no—
1217#135—2922no—
1218#135—2922no—
1219C2×Q16—731no—
1220C2×Q16—731no—
1221C2×SD16—2922no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16—731no—
1226C2×SD16—731no—
1227C2×SD16—731no—
1228C2×SD16—731no—
1229C2×SD16—731no—
1230C2×SD16—731no—
1231C2×SD16—731no—
1232C2×D8—42no—
1233C2×D8—42no—
1234C2×D8—731no—
1235C2×D8—731no—
1236C2×D8—731no—
1237C2×D8C22×D7311yescharacteristic
1238C2×D8C22×D7311yescharacteristic
1239C2×D8C22×D7311yescharacteristic
1240C2×D8C22×D7311yescharacteristic
1241C2×D8C22×D7311yescharacteristic
1242C2×D8C22×D7311yescharacteristic
1243C2×D8C22×D7311yescharacteristic
1244C2×D8C22×D7311yescharacteristic
1245C2×D8C22×D7311yescharacteristic
1246C2×M16—731no—
1247C2×M16—731no—
1248C22×C8—731no—
1249C22×C8—731no—
1250C22×C8—731no—
1251C22×C8—731no—
1252C22×C8C22×D7311yescharacteristic
1253C22×C8C22×D7311yescharacteristic
1254C4⋊Q8—731no—
1255#127—731no—
1256#127—1461no—
1257#127—1461no—
1258#127—1461no—
1259#127—1461no—
1260#127C22×D7311yescharacteristic
1261#127C22×D7311yescharacteristic
1262#126—1461no—
1263#126—1461no—
1264#126—1461no—
1265#125—731no—
1266#125—1461no—
1267#124—731no—
1268#124—731no—
1269#124—731no—
1270#124—1461no—
1271#124—1461no—
1272#124—1461no—
1273#124—1461no—
1274#124—1461no—
1275#124—1461no—
1276#123—731no—
1277#123—731no—
1278#123—1461no—
1279#123—1461no—
1280#123—1461no—
1281#123—1461no—
1282#123—1461no—
1283#123—1461no—
1284#123—1461no—
1285#123—1461no—
1286#123—1461no—
1287#123—1461no—
1288#123—1461no—
1289#123—1461no—
1290C22⋊Q8—731no—
1291C22⋊Q8—731no—
1292C22⋊Q8—731no—
1293C22⋊Q8—731no—
1294C22⋊Q8—731no—
1295C22⋊Q8—731no—
1296C22⋊Q8—731no—
1297C22⋊Q8—1461no—
1298C22⋊Q8—1461no—
1299C22⋊Q8—1461no—
1300C22⋊Q8—1461no—
1301C22⋊Q8—1461no—
1302C22⋊Q8—1461no—
1303#121—21no—
1304#121—21no—
1305#121—731no—
1306#121—731no—
1307#121—731no—
1308#121—731no—
1309#121—731no—
1310#121—731no—
1311#121—731no—
1312#121—731no—
1313#121—731no—
1314#121—731no—
1315#121—731no—
1316#121—731no—
1317#121—731no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#121—1461no—
1335#121—1461no—
1336#121—1461no—
1337#121—1461no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121—1461no—
1342#121—1461no—
1343#121—1461no—
1344#121—1461no—
1345#121—1461no—
1346#121—1461no—
1347#121C22×D7311yescharacteristic
1348#121C22×D7311yescharacteristic
1349#121C22×D7311yescharacteristic
1350#121C22×D7311yescharacteristic
1351#120—21no—
1352#120—21no—
1353#120—21no—
1354#120—21no—
1355#120—731no—
1356#120—731no—
1357#120—1461no—
1358#120—1461no—
1359#120—1461no—
1360#120—1461no—
1361#120—1461no—
1362#120—1461no—
1363#120—1461no—
1364#120—1461no—
1365#120—1461no—
1366#120—1461no—
1367#120—1461no—
1368C4×Q8—731no—
1369C4×Q8—731no—
1370C4×Q8—731no—
1371C4×D4—731no—
1372C4×D4—731no—
1373C4×D4—731no—
1374C4×D4—731no—
1375C4×D4—731no—
1376C4×D4—731no—
1377C4×D4—1461no—
1378C4×D4—1461no—
1379C4×D4—1461no—
1380C4×D4—1461no—
1381C4×D4—1461no—
1382C4×D4—1461no—
1383C4×D4—1461no—
1384C4×D4—1461no—
1385C4×D4—1461no—
1386C4×D4—1461no—
1387C4×D4C22×D7311yescharacteristic
1388C4×D4C22×D7311yescharacteristic
1389C4×D4C22×D7311yescharacteristic
1390#117—731no—
1391#117—731no—
1392#117—731no—
1393#117—1461no—
1394#117—1461no—
1395#117—1461no—
1396C2×C4⋊C4—731no—
1397C2×C4⋊C4—731no—
1398C2×C4⋊C4—731no—
1399C2×C4⋊C4—1461no—
1400C2×C22⋊C4—1461no—
1401C2×C22⋊C4—1461no—
1402C2×C22⋊C4—1461no—
1403C2×C22⋊C4—1461no—
1404C2×C22⋊C4—1461no—
1405C2×C22⋊C4—1461no—
1406#107—731no—
1407#107—731no—
1408#107—731no—
1409#107—731no—
1410#107—731no—
1411#107C22×D7311yescharacteristic
1412#106—731no—
1413#106—731no—
1414C4⋊C8—731no—
1415C4⋊C8—731no—
1416C4⋊C8—731no—
1417C4⋊C8C22×D7311yescharacteristic
1418#103—731no—
1419#103—731no—
1420#103—731no—
1421#103—731no—
1422#103—731no—
1423#103—731no—
1424#103—731no—
1425#103—731no—
1426#103—731no—
1427#103—731no—
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102—731no—
1432#102—731no—
1433#102—731no—
1434#102—731no—
1435#102—731no—
1436#102—731no—
1437#102—731no—
1438#102—731no—
1439#102—731no—
1440#102—731no—
1441#102—731no—
1442#102—731no—
1443#102—731no—
1444#102C22×D7311yescharacteristic
1445#102C22×D7311yescharacteristic
1446#102C22×D7311yescharacteristic
1447#102C22×D7311yescharacteristic
1448#102C22×D7311yescharacteristic
1449#102C22×D7311yescharacteristic
1450C22⋊C8—731no—
1451C22⋊C8—731no—
1452C22⋊C8—731no—
1453C22⋊C8—731no—
1454C22⋊C8—731no—
1455C22⋊C8—731no—
1456C22⋊C8—731no—
1457C22⋊C8—731no—
1458C22⋊C8—731no—
1459C22⋊C8—731no—
1460C22⋊C8C22×D7311yescharacteristic
1461C22⋊C8C22×D7311yescharacteristic
1462#97—731no—
1463#97—731no—
1464C4×C8—731no—
1465C4×C8C22×D7311yescharacteristic
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—21no—
1470C24—731no—
1471C24—1461no—
1472C24—1461no—
1473#41—2921no—
1474#41—2921no—
1475#41—2921no—
1476#41—2924no—
1477#41—2921no—
1478#41—2921no—
1479#41—2921no—
1480#41—2921no—
1481#41—2921no—
1482#41—2924no—
1483#41—2924no—
1484#41—2921no—
1485#41—2921no—
1486#41—2921no—
1487#41—2921no—
1488#41—5842no—
1489#41—1462no—
1490#41—1462no—
1491#41—1462no—
1492#41—1462no—
1493#41—1462no—
1494#41—1462no—
1495C2×Q8—2921no—
1496C2×Q8—731no—
1497C2×Q8—731no—
1498C2×Q8—731no—
1499C2×Q8—731no—
1500C2×Q8—1462no—
1501C2×Q8—1461no—
1502C2×Q8—1461no—
1503C2×D4—22no—
1504C2×D4—22no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—41no—
1518C2×D4—41no—
1519C2×D4—41no—
1520C2×D4—41no—
1521C2×D4—41no—
1522C2×D4—41no—
1523C2×D4—82no—
1524C2×D4—82no—
1525C2×D4—2924no—
1526C2×D4—2924no—
1527C2×D4—2924no—
1528C2×D4—2921no—
1529C2×D4—2921no—
1530C2×D4—2921no—
1531C2×D4—2924no—
1532C2×D4—5842no—
1533C2×D4—5842no—
1534C2×D4—5842no—
1535C2×D4—731no—
1536C2×D4—731no—
1537C2×D4—731no—
1538C2×D4—731no—
1539C2×D4—731no—
1540C2×D4—731no—
1541C2×D4—731no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1461no—
1546C2×D4—1461no—
1547C2×D4—1461no—
1548C2×D4—1461no—
1549C2×D4—1461no—
1550C2×D4—1461no—
1551C2×D4—1461no—
1552C2×D4—1461no—
1553C2×D4—1462no—
1554C2×D4—1461no—
1555C2×D4—1461no—
1556C2×D4—1461no—
1557C2×D4—1461no—
1558C2×D4—1461no—
1559C2×D4—1461no—
1560C2×D4—1461no—
1561C2×D4—1461no—
1562C2×D4—1461no—
1563C2×D4—1461no—
1564C2×D4—1461no—
1565C2×D4—1461no—
1566C2×D4D4×D7311yescharacteristic
1567C2×D4C23×D7311yescharacteristic
1568C2×D4C23×D7311yescharacteristic
1569C2×D4C23×D7311yescharacteristic
1570C2×D4C23×D7311yescharacteristic
1571C2×D4C23×D7311yescharacteristic
1572C2×D4C23×D7311yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—2921no—
1576C22×C4—2921no—
1577C22×C4—2924no—
1578C22×C4—731no—
1579C22×C4—731no—
1580C22×C4—731no—
1581C22×C4—731no—
1582C22×C4—731no—
1583C22×C4—731no—
1584C22×C4—1461no—
1585C22×C4—1461no—
1586C22×C4—1461no—
1587C22×C4—1461no—
1588C22×C4—1461no—
1589C22×C4—1461no—
1590C22×C4—1461no—
1591C22×C4—1461no—
1592C22×C4—1461no—
1593C22×C4—1461no—
1594C22×C4—1461no—
1595C22×C4—1461no—
1596C22×C4—1461no—
1597C22×C4—1461no—
1598C22×C4—1461no—
1599C22×C4C23×D7311yescharacteristic
1600C22×C4C23×D7311yescharacteristic
1601Q16—2921no—
1602Q16—1462no—
1603SD16—2921no—
1604SD16—2921no—
1605SD16—2921no—
1606SD16—2921no—
1607SD16—2921no—
1608SD16—2921no—
1609SD16—1462no—
1610SD16—1462no—
1611SD16—1462no—
1612SD16—1462no—
1613D8—22no—
1614D8—22no—
1615D8—22no—
1616D8—41no—
1617D8—41no—
1618D8—41no—
1619D8—41no—
1620D8—41no—
1621D8—41no—
1622D8—2921no—
1623D8—2921no—
1624D8—2921no—
1625M16—2921no—
1626M16—2921no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—2921no—
1630C2×C8—2921no—
1631C2×C8—2921no—
1632C2×C8—2921no—
1633C2×C8—731no—
1634C2×C8—731no—
1635C2×C8—731no—
1636C2×C8—731no—
1637C2×C8C23×D7311yescharacteristic
1638C2×C8C23×D7311yescharacteristic
1639C2×C8C23×D7311yescharacteristic
1640C2×C8C23×D7311yescharacteristic
1641C4⋊C4—731no—
1642C4⋊C4—731no—
1643C4⋊C4—731no—
1644C4⋊C4—731no—
1645C4⋊C4—731no—
1646C4⋊C4—731no—
1647C4⋊C4—731no—
1648C4⋊C4—731no—
1649C4⋊C4—731no—
1650C4⋊C4—1461no—
1651C4⋊C4—1461no—
1652C4⋊C4—1461no—
1653C4⋊C4—1461no—
1654C4⋊C4—1461no—
1655C4⋊C4—1461no—
1656C4⋊C4—1461no—
1657C4⋊C4—1461no—
1658C4⋊C4—1461no—
1659C4⋊C4—1461no—
1660C4⋊C4—1461no—
1661C4⋊C4—1461no—
1662C4⋊C4—1461no—
1663C4⋊C4—1461no—
1664C4⋊C4D4×D7311yescharacteristic
1665C4⋊C4C23×D7311yescharacteristic
1666C4⋊C4C23×D7311yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—731no—
1674C22⋊C4—731no—
1675C22⋊C4—731no—
1676C22⋊C4—731no—
1677C22⋊C4—731no—
1678C22⋊C4—731no—
1679C22⋊C4—731no—
1680C22⋊C4—731no—
1681C22⋊C4—1461no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4—1461no—
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4D4×D7311yescharacteristic
1709C22⋊C4D4×D7311yescharacteristic
1710C42—731no—
1711C42—1461no—
1712C42—1461no—
1713C42—1461no—
1714C42—1461no—
1715C42—1461no—
1716C42C23×D7311yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—42no—
1724C23—42no—
1725C23—42no—
1726C23—42no—
1727C23—81no—
1728C23—81no—
1729C23—81no—
1730C23—81no—
1731C23—81no—
1732C23—81no—
1733C23—81no—
1734C23—81no—
1735C23—2922no—
1736C23—2921no—
1737C23—2921no—
1738C23—2922no—
1739C23—5841no—
1740C23—5841no—
1741C23—5841no—
1742C23—5841no—
1743C23—731no—
1744C23—731no—
1745C23—731no—
1746C23—1461no—
1747C23—1462no—
1748C23C2×D4×D7311yescharacteristic
1749C23C2×D4×D7311yescharacteristic
1750Q8—2922no—
1751Q8—2921no—
1752Q8—5841no—
1753Q8—732no—
1754Q8—1461no—
1755Q8—1461no—
1756Q8—1461no—
1757Q8—1461no—
1758Q8—1461no—
1759D4—22no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—42no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—81no—
1782D4—81no—
1783D4—2921no—
1784D4—2921no—
1785D4—2922no—
1786D4—2922no—
1787D4—2922no—
1788D4—2922no—
1789D4—2922no—
1790D4—2921no—
1791D4—2921no—
1792D4—2921no—
1793D4—2922no—
1794D4—2922no—
1795D4—2922no—
1796D4—5841no—
1797D4—5841no—
1798D4—5841no—
1799D4—5841no—
1800D4—5841no—
1801D4—5841no—
1802D4—5841no—
1803D4—5841no—
1804D4—5841no—
1805D4—5841no—
1806D4—5841no—
1807D4—5841no—
1808D4—5841no—
1809D4—5841no—
1810D4—1464no—
1811D4—1462no—
1812D4—1461no—
1813D4—1461no—
1814D4#1455663612yes—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—81no—
1822C2×C4—81no—
1823C2×C4—2922no—
1824C2×C4—2921no—
1825C2×C4—2921no—
1826C2×C4—2922no—
1827C2×C4—2922no—
1828C2×C4—2922no—
1829C2×C4—2922no—
1830C2×C4—2921no—
1831C2×C4—2922no—
1832C2×C4—2922no—
1833C2×C4—5841no—
1834C2×C4—5841no—
1835C2×C4—5841no—
1836C2×C4—5841no—
1837C2×C4—5841no—
1838C2×C4—5841no—
1839C2×C4—5841no—
1840C2×C4—731no—
1841C2×C4—731no—
1842C2×C4—731no—
1843C2×C4—731no—
1844C2×C4—731no—
1845C2×C4—1461no—
1846C2×C4—1461no—
1847C2×C4—1461no—
1848C2×C4—1461no—
1849C2×C4—1461no—
1850C2×C4—1461no—
1851C2×C4—1464no—
1852C2×C4—1461no—
1853C2×C4—1461no—
1854C2×C4—1461no—
1855C2×C4—1461no—
1856C2×C4—1461no—
1857C2×C4—1461no—
1858C2×C4—1461no—
1859C2×C4C2×D4×D7311yescharacteristic
1860C2×C4C2×D4×D7311yescharacteristic
1861C2×C4C2×D4×D7311yescharacteristic
1862C2×C4C2×D4×D7311yescharacteristic
1863C2×C4C24×D7311yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1461no—
1869C8—1461no—
1870C8—1461no—
1871C8—1461no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—22no—
1876C22—21no—
1877C22—21no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—84no—
1896C22—162no—
1897C22—162no—
1898C22—162no—
1899C22—2921no—
1900C22—2921no—
1901C22—2921no—
1902C22—5842no—
1903C22—11682no—
1904C22—11682no—
1905C22—1461no—
1906C22—1461no—
1907C22—1461no—
1908C22—1461no—
1909C22—1461no—
1910C22—1461no—
1911C22—1461no—
1912C22—1461no—
1913C22—1461no—
1914C22#1798938812yes—
1915C22C22×D4×D7311yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—2921no—
1923C4—2921no—
1924C4—2921no—
1925C4—2921no—
1926C4—2921no—
1927C4—2921no—
1928C4—1461no—
1929C4—1461no—
1930C4—1462no—
1931C4—1461no—
1932C4—1461no—
1933C4—1461no—
1934C4H(5,𝔽2)×D7311yescharacteristic
1935C4C2×#1455663611yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—42no—
1939C2—81no—
1940C2—81no—
1941C2—81no—
1942C2—81no—
1943C2—81no—
1944C2—2921no—
1945C2—2921no—
1946C2—2921no—
1947C2—5841no—
1948C2#2262355911yescharacteristic
1949C2C2×#1798938811yescharacteristic
1950C2#2262469911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingD4×D8×C73C2
socleC22×C73C23×D4
hypercenterD4×D8D73
hypocenterC73#61639
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×D8

Complements

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

NH ≅ G/Ntype
1. #22624252C2semidirect
2. #22623591C2semidirect
3. #22622080C2semidirect
4. #22621952C2semidirect
5. #22621944C2semidirect
6. #22621928C2semidirect
7. #22621876C2semidirect
8. #22621820C2semidirect
9. #22621786C2semidirect
10. #22621737C2semidirect
11. #22621689C2semidirect
12. #22621642C2semidirect
13. #22621616C2semidirect
14. #22621477C2semidirect
15. #22621469C2semidirect
16. #22621422C2semidirect
17. #22621411C2semidirect
18. #22621022C2semidirect
19. #22620974C2semidirect
20. #22620827C2semidirect
21. #22620779C2semidirect
22. #22620691C2semidirect
23. #22620680C2semidirect
24. #22620189C2semidirect
25. #22620127C2semidirect
26. #22619230C2semidirect
27. #22619195C2semidirect
28. #22619144C2semidirect
29. C2×#17988729C2semidirect
30. #22618984C2semidirect
31. D4×D8×C73C2semidirect
32. C2×#14556636C22semidirect
33. C22×#11924027C22semidirect
34. C2×#14556617C22semidirect
35. C2×#14556615C22semidirect
36. C2×#14556610C22semidirect
37. C2×#14556610C22semidirect
38. C2×#14556610C22semidirect
39. C22×#11924016C22semidirect
42. #17989301C22semidirect
43. #17989287C22semidirect
44. #17989277C22semidirect
46. #17989257C22semidirect
47. #17989257C22semidirect
48. #17989255C22semidirect
50. #17989243C22semidirect
51. #17989237C22semidirect
52. #17989232C22semidirect
54. #17989231C22semidirect
55. #17989231C22semidirect
56. #17989231C22semidirect
60. D4×C22⋊D73C22semidirect
62. #17989202C22semidirect
63. #17989191C22semidirect
66. #17989166C22semidirect
67. #17989166C22semidirect
69. #17989154C22semidirect
72. #17989150C22semidirect
74. #17989097C22semidirect
78. C2×#14556562C22semidirect
79. #121×D73C22semidirect
80. #17989066C22semidirect
81. #17988975C22semidirect
82. #17988974C22semidirect
83. #17988970C22semidirect
84. #17988951C22semidirect
85. #17988945C22semidirect
86. #17988942C22semidirect
87. #17988932C22semidirect
88. #17988929C22semidirect
89. #17988924C22semidirect
90. #17988924C22semidirect
91. #17988914C22semidirect
92. #17988910C22semidirect
93. #17988908C22semidirect
94. #17988904C22semidirect
95. #17988901C22semidirect
96. #17988899C22semidirect
97. #17988899C22semidirect
98. #17988899C22semidirect
99. #17988898C22semidirect
100. #17988895C22semidirect
101. #17988887C22semidirect
102. #17988881C22semidirect
103. #17988865C22semidirect
104. #17988837C22semidirect
105. #17988832C22semidirect
106. #17988831C22semidirect
107. #17988831C22semidirect
108. #17988828C22semidirect
109. #17988822C22semidirect
110. #17988822C22semidirect
111. #17988821C22semidirect
112. #17988820C22semidirect
113. #17988820C22semidirect
114. #17988820C22semidirect
115. #17988816C22semidirect
116. #17988815C22semidirect
117. #17988814C22semidirect
118. #17988810C22semidirect
119. #17988808C22semidirect
120. #17988802C22semidirect
121. #17988800C22semidirect
122. #17988800C22semidirect
123. #17988800C22semidirect
124. #17988784C22semidirect
125. #17988784C22semidirect
126. #17988780C22semidirect
127. #17988780C22semidirect
128. #17988751C22semidirect
129. #17988750C22semidirect
130. #17988750C22semidirect
131. #17988750C22semidirect
132. #17988745C22semidirect
133. #17988739C22semidirect
134. #17988738C22semidirect
135. #17988738C22semidirect
136. #17988738C22semidirect
137. #17988733C22semidirect
138. #17988730C22semidirect
140. #17988729C22semidirect
141. #17988729C22semidirect
142. #17988729C22semidirect
143. #17988729C22semidirect
144. #17988729C22semidirect
145. #17988729C22semidirect
146. #17988729C22semidirect
147. #17988729C22semidirect
148. #17988729C22semidirect
149. #17988729C22semidirect
150. #17988729C22semidirect
151. #17988729C22semidirect
152. #17988729C22semidirect
153. #17988725C22semidirect
154. #17988721C22semidirect
155. #17988719C22semidirect
156. #17988719C22semidirect
157. #17988719C22semidirect
158. #17988719C22semidirect
159. #17988719C22semidirect
160. #17988699C22semidirect
161. #17988687C22semidirect
162. #17988687C22semidirect
163. #17988684C22semidirect
164. C4×Dic292C22semidirect
165. #17988678C22semidirect
166. D8×Dic73C22semidirect
167. #17988661C22semidirect
168. #17988659C22semidirect
169. #17988658C22semidirect
170. #17988657C22semidirect
171. C8×D292C22semidirect
172. C8×C22⋊D73C22semidirect
173. #17988650C22semidirect
174. #17988647C22semidirect
175. #17988646C22semidirect
176. #17988592C22semidirect
177. #17988585C22semidirect
178. #17988584C22semidirect
179. #17988580C22semidirect
180. #17988580C22semidirect
181. C2×#14556516C22semidirect
182. C2×#14556512C22semidirect
183. #102×D73C22semidirect
184. #17988553C22semidirect
185. #17988552C22semidirect
186. C2×#14556503C22semidirect
187. C22⋊C8×D73C22semidirect
188. C22×D8×C73C22semidirect
189. C22×D8×C73C22semidirect
191. D42×C73C22semidirect
192. #493×C73C22semidirect
193. #466×C73C22semidirect
194. #466×C73C22semidirect
195. #459×C73C22semidirect
196. #459×C73C22semidirect
197. #447×C73C22semidirect
198. #447×C73C22semidirect
199. #447×C73C22semidirect
200. #447×C73C22semidirect
201. C4×D8×C73C22semidirect
202. C8×D4×C73C22semidirect
989. D4×D8D73semidirect
1007. C73#61639semidirect
1016. C22×D8C2×D73semidirect
1017. C22×D8C2×D73semidirect
1041. D42C2×D73semidirect
1064. #493C2×D73semidirect
1096. #466C2×D73semidirect
1097. #466C2×D73semidirect
1111. #459C2×D73semidirect
1112. #459C2×D73semidirect
1145. #447C2×D73semidirect
1146. #447C2×D73semidirect
1147. #447C2×D73semidirect
1148. #447C2×D73semidirect
1156. C4×D8C2×D73semidirect
1164. C8×D4C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242522
#226235912
#226220802
#226219522
#226219442
#226219282
#226218762
#226218202
#226217862
#226217372
#226216892
#226216422
#226216162
#226214772
#226214692
#226214222
#226214112
#226210222
#226209742
#226208272
#226207792
#226206912
#226206802
#226201892
#226201272
#226192302
#226191952
#226191442
C2×#179887292
#226189842
D4×D8×C732
#6163973