Finite Group Databasebeta

← #33971944

Subgroups — #33971944

Order 18688.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624207C211yesmaximal, characteristic, complemented
2#22623591C211yesmaximal, characteristic, complemented
3#22622169C211yesmaximal, characteristic, complemented
4#22622120C211yesmaximal, characteristic, complemented
5#22622084C211yesmaximal, characteristic, complemented
6#22621991C211yesmaximal, characteristic, complemented
7#22621968C211yesmaximal, characteristic, complemented
8#22621880C211yesmaximal, characteristic, complemented
9#22621868C211yesmaximal, characteristic, complemented
10#22621640C211yesmaximal, characteristic, complemented
11#22621609C211yesmaximal, characteristic, complemented
12#22621585C211yesmaximal, characteristic, complemented
13#22621567C211yesmaximal, characteristic, complemented
14#22621511C211yesmaximal, characteristic, complemented
15#22621478C211yesmaximal, characteristic, complemented
16#22621424C211yesmaximal, characteristic, complemented
17#22621407C211yesmaximal, characteristic, complemented
18#22621030C211yesmaximal, characteristic, complemented
19#22621028C211yesmaximal, characteristic, complemented
20#22620808C211yesmaximal, characteristic, complemented
21#22620781C211yesmaximal, characteristic, complemented
22#22620746C211yesmaximal, characteristic, complemented
23#22620700C211yesmaximal, characteristic, complemented
24#22620204C211yesmaximal, characteristic, complemented
25#22620198C211yesmaximal, characteristic, complemented
26#22619203C211yesmaximal, characteristic, complemented
27#22619200C211yesmaximal, characteristic, complemented
28#22619175C211yesmaximal, characteristic, complemented
29#22619150C211yesmaximal, characteristic, complemented
30#22618975C211yesmaximal, characteristic, complemented
31C73×#3324C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C22×#11924027C2211yescharacteristic, complemented
34C2×#14556624C2211yescharacteristic, complemented
35C2×#14556620C2211yescharacteristic, complemented
36C2×#14556619C2211yescharacteristic, complemented
37C2×#14556617C2211yescharacteristic, complemented
38C2×#14556612C2211yescharacteristic, complemented
39C2×#14556612C2211yescharacteristic, complemented
40C2×SD16×D73C2211yescharacteristic, complemented
41C22×#11924013C2211yescharacteristic, complemented
42#17989329—21no—
43#17989328—21no—
44#17989322—21no—
45#17989305C2211yescharacteristic, complemented
46#17989303C2211yescharacteristic, complemented
47#17989300C2211yescharacteristic, complemented
48#17989262—21no—
49#17989257C2211yescharacteristic, complemented
50#17989255C2211yescharacteristic
51#17989249C2211yescharacteristic, complemented
52#17989247C2211yescharacteristic, complemented
53#17989246C2211yescharacteristic
54#17989243C2211yescharacteristic, complemented
55#17989233C2211yescharacteristic, complemented
56#17989232C2211yescharacteristic, complemented
57#17989231C2211yescharacteristic
58#17989228C2211yescharacteristic, complemented
59#17989226—21no—
60#17989224—21no—
61D4×C22⋊D73—21no—
62D4×C22⋊D73C2211yescharacteristic, complemented
63#17989219—21no—
64#17989211C2211yescharacteristic, complemented
65#17989209—21no—
66#17989209C2211yescharacteristic, complemented
67#17989203—21no—
68#17989176—21no—
69#17989171—21no—
70#17989166C2211yescharacteristic
71#17989164—21no—
72#17989160C2211yescharacteristic, complemented
73#17989156C2211yescharacteristic, complemented
74#17989152—21no—
75#17989150C2211yescharacteristic, complemented
76#17989100C2211yescharacteristic, complemented
77#17989099C2211yescharacteristic, complemented
78#17989096C2211yescharacteristic
79#17989093—21no—
80C2×#14556563—21no—
81#121×D73C2211yescharacteristic, complemented
82#17989066C2211yescharacteristic, complemented
83#17988974C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic, complemented
85#17988971C2211yescharacteristic, complemented
86#17988968C2211yescharacteristic, complemented
87#17988949C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988930C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988910C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic, complemented
99#17988902C2211yescharacteristic, complemented
100#17988879C2211yescharacteristic, complemented
101#17988875C2211yescharacteristic, complemented
102#17988871C2211yescharacteristic, complemented
103#17988845C2211yescharacteristic, complemented
104#17988840C2211yescharacteristic, complemented
105#17988839C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic, complemented
107#17988835C2211yescharacteristic, complemented
108#17988834C2211yescharacteristic, complemented
109#17988826C2211yescharacteristic, complemented
110#17988824C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic, complemented
115#17988815C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988786C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988779C2211yescharacteristic, complemented
128#17988751C2211yescharacteristic, complemented
129#17988750C2211yescharacteristic, complemented
130#17988750C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic, complemented
132#17988750C2211yescharacteristic, complemented
133#17988747C2211yescharacteristic, complemented
134#17988746C2211yescharacteristic, complemented
135#17988746C2211yescharacteristic, complemented
136#17988744C2211yescharacteristic, complemented
137#17988742C2211yescharacteristic, complemented
138#17988740C2211yescharacteristic, complemented
139#17988739C2211yescharacteristic, complemented
140#17988738C2211yescharacteristic, complemented
141#17988736C2211yescharacteristic, complemented
142#17988735C2211yescharacteristic, complemented
143#17988734C2211yescharacteristic, complemented
144#17988733C2211yescharacteristic
145#17988733C2211yescharacteristic
146#17988733C2211yescharacteristic, complemented
147#17988733C2211yescharacteristic, complemented
148#17988733C2211yescharacteristic, complemented
149#17988733C2211yescharacteristic, complemented
150#17988733C2211yescharacteristic, complemented
151#17988733C2211yescharacteristic, complemented
152#17988731C2211yescharacteristic, complemented
153#17988730C2211yescharacteristic, complemented
154#17988728C2211yescharacteristic, complemented
155#17988724C2211yescharacteristic, complemented
156#17988722C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic, complemented
159#17988722C2211yescharacteristic, complemented
160#17988721C2211yescharacteristic, complemented
161#17988720C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic, complemented
163#17988692C2211yescharacteristic, complemented
164#17988686C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic, complemented
166#17988681C2211yescharacteristic, complemented
167C4×#11924017C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988663C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174C8×D292C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988647C2211yescharacteristic, complemented
177#17988646C2211yescharacteristic, complemented
178#17988595C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988581C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183#17988580C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988550C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#556×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic
190#486×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202#418×C73C2211yescharacteristic, complemented
203#14556636—42no—
204#14556636—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027—42no—
213C2×#11924027—42no—
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C2×#11924027C2311yescharacteristic
219C22×Dic146C2311yescharacteristic
220C2×Q8×D73C2311yescharacteristic
221C22×D292C2311yescharacteristic
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#14556624—42no—
233#14556620—42no—
234#14556619—42no—
235#14556617—42no—
236#14556612—42no—
237#14556612—42no—
238C2×Dic292C2311yescharacteristic
239C2×Dic292C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924018C2311yescharacteristic
242C2×#11924017C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251SD16×D73—42no—
252C2×D584C2311yescharacteristic
253C2×D584C2311yescharacteristic
254C2×#11924013—42no—
255C2×#11924013C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924012C2311yescharacteristic
262C2×#11924011C2311yescharacteristic
263C22×#10596831C2311yescharacteristic
264C2×C8×D73C2311yescharacteristic
265C2×C8×D73C2311yescharacteristic
266C2×C8×D73C2311yescharacteristic
267#14556590—21no—
268#14556590C2311yescharacteristic
269#14556588—21no—
270#14556587—21no—
271#14556587—21no—
272#14556587C2311yescharacteristic
273#14556586—21no—
274#14556585—21no—
275#14556585—21no—
276#14556584—21no—
277#14556580—21no—
278#14556580—21no—
279#14556580—21no—
280#14556580C2311yescharacteristic
281#14556579—21no—
282#14556579—21no—
283#14556579—21no—
284#14556579—21no—
285#14556579C2311yescharacteristic
286#14556579C2311yescharacteristic
287#14556578C2311yescharacteristic
288#14556577—21no—
289#14556577—21no—
290#14556577—21no—
291#14556577—21no—
292#14556577—21no—
293#14556577—21no—
294#14556576—21no—
295#14556576—21no—
296#14556576—21no—
297#14556576—21no—
298#14556576—21no—
299#14556576—21no—
300#14556576D411yescharacteristic
301#14556575—21no—
302#14556575—21no—
303#14556573—21no—
304#14556573D411yescharacteristic
305#14556572—21no—
306#14556571—21no—
307#14556571C2311yescharacteristic
308#14556571C2311yescharacteristic
309#14556571C2311yescharacteristic
310#14556570C2311yescharacteristic
311#14556570C2311yescharacteristic
312#14556569—21no—
313#14556569—21no—
314#14556569—21no—
315#14556569D411yescharacteristic
316#14556568—21no—
317#14556568—21no—
318#14556568D411yescharacteristic
319#14556567—21no—
320#14556567C2311yescharacteristic
321#14556566—21no—
322#14556566—21no—
323#14556566—21no—
324#14556566C2311yescharacteristic
325#14556566C2311yescharacteristic
326#14556566C2311yescharacteristic
327#14556566C2311yescharacteristic
328#14556566C2311yescharacteristic
329#14556566C2311yescharacteristic
330#14556565—21no—
331#14556565C2311yescharacteristic
332#14556565C2311yescharacteristic
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556564D411yescharacteristic
340#14556563—21no—
341#14556563—21no—
342#14556563—21no—
343#14556563—21no—
344#14556563—21no—
345#14556563—21no—
346#14556563—21no—
347#14556563—21no—
348#14556563—21no—
349#14556563—21no—
350#14556563—21no—
351#14556563D411yescharacteristic
352#14556562—21no—
353#14556562C2311yescharacteristic
354#14556562C2311yescharacteristic
355#14556561—21no—
356#14556561—21no—
357#14556561—21no—
358#14556561—21no—
359#14556561—21no—
360#14556561—21no—
361#14556561D411yescharacteristic
362#14556560—21no—
363#14556560—21no—
364#14556559—21no—
365#14556559—21no—
366#14556559—21no—
367#14556559—21no—
368#14556559D411yescharacteristic
369C4×Dic146—21no—
370C4×Dic146C2311yescharacteristic
371#14556556C2311yescharacteristic
372#14556556C2311yescharacteristic
373C4×D292—21no—
374C4×D292—21no—
375C4×D292—21no—
376C4×D292C2311yescharacteristic
377C4×D292C2311yescharacteristic
378D4×Dic73—21no—
379D4×Dic73—21no—
380D4×Dic73C2311yescharacteristic
381#14556553—21no—
382#14556553—21no—
383#14556553C2311yescharacteristic
384C4×C22⋊D73—21no—
385C4×C22⋊D73C2311yescharacteristic
386C4×C22⋊D73C2311yescharacteristic
387#14556551—21no—
388#14556551—21no—
389#14556551—21no—
390#14556551—21no—
391#14556549—21no—
392#14556549C2311yescharacteristic
393#14556549C2311yescharacteristic
394#14556548—21no—
395#14556548C2311yescharacteristic
396#14556547—21no—
397C2×#11924007—21no—
398C4⋊C4×D73C2311yescharacteristic
399C2×C22⋊Dic73—21no—
400C2×#11924005—21no—
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403C22⋊C4×D73—21no—
404#14556524C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556523C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556502C2311yescharacteristic
445#14556501C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C22×D4×C73—21no—
448C22×D4×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×M16×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C4⋊Q8×C73C2311yescharacteristic
456#127×C73C2311yescharacteristic
457#126×C73—21no—
458#126×C73—21no—
459#124×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#120×C73—21no—
466#120×C73—21no—
467C4×Q8×C73—21no—
468C4×Q8×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471#117×C73C2311yescharacteristic
472#117×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#106×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×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×D73—21no—
493C23×D73C2×D411yescharacteristic
494#11924029—41no—
495#11924029—41no—
496#11924028—22no—
497#11924028—41no—
498#11924028—41no—
499#11924028—41no—
500#11924028—41no—
501#11924028—41no—
502#11924027—22no—
503#11924027—22no—
504#11924027—22no—
505#11924027—22no—
506#11924027—22no—
507#11924027—41no—
508#11924027—41no—
509#11924027—41no—
510#11924027—41no—
511#11924027—41no—
512#11924027—44no—
513#11924027—44no—
514#11924027—44no—
515C2×Dic146—22no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146—21no—
519C2×Dic146—41no—
520C2×Dic146C2×D411yescharacteristic
521C2×Dic146C2411yescharacteristic
522C2×Dic146C2411yescharacteristic
523C2×Dic146C2411yescharacteristic
524Q8×D73—41no—
525Q8×D73—41no—
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—41no—
535C2×D292—41no—
536C2×D292C2×D411yescharacteristic
537C2×D292C2×D411yescharacteristic
538C2×D292C2411yescharacteristic
539C2×D292C2411yescharacteristic
540C2×D292C2411yescharacteristic
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—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⋊D73—44no—
557C2×C22⋊D73—44no—
558C2×C22⋊D73—44no—
559C2×C22⋊D73—82no—
560C2×C22⋊D73C2×D411yescharacteristic
561C2×C22⋊D73C2×D411yescharacteristic
562C2×C22⋊D73C2×D411yescharacteristic
563C2×C22⋊D73C2×D411yescharacteristic
564D4×D73—22no—
565D4×D73—41no—
566D4×D73—41no—
567D4×D73—41no—
568D4×D73—44no—
569D4×D73—82no—
570C22×Dic73—21no—
571C22×Dic73—21no—
572C22×Dic73—21no—
573C22×Dic73—21no—
574C22×Dic73—21no—
575C22×Dic73—21no—
576C22×Dic73—21no—
577C22×Dic73—44no—
578C22×Dic73C2×D411yescharacteristic
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—21no—
585C2×C4×D73—21no—
586C2×C4×D73—41no—
587C2×C4×D73—41no—
588C2×C4×D73C2×D411yescharacteristic
589C2×C4×D73C2×D411yescharacteristic
590C2×C4×D73C2411yescharacteristic
591C2×C4×D73C2411yescharacteristic
592C2×C4×D73C2411yescharacteristic
593Dic292—22no—
594Dic292—41no—
595#11924018—22no—
596#11924018—41no—
597#11924017—22no—
598#11924017—22no—
599#11924017—41no—
600#11924017—41no—
601#11924017—41no—
602#11924016—22no—
603#11924016—41no—
604#11924016—41no—
605#11924015—41no—
606D584—41no—
607D584—41no—
608#11924013—22no—
609#11924013—22no—
610#11924013—41no—
611#11924013—41no—
612#11924013—41no—
613#11924013—41no—
614#11924012—41no—
615#11924011—41no—
616C2×#10596831—41no—
617C2×#10596831C2411yescharacteristic
618C2×#10596831C2411yescharacteristic
619C2×#10596831C2411yescharacteristic
620C2×#10596831C2411yescharacteristic
621C8×D73—41no—
622C8×D73—41no—
623C8×D73—41no—
624C4⋊Dic73—21no—
625C4⋊Dic73—21no—
626C4⋊Dic73—21no—
627C4⋊Dic73C2×D411yescharacteristic
628C4⋊Dic73C2411yescharacteristic
629C4⋊Dic73C2411yescharacteristic
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007C2×D411yescharacteristic
639#11924007C2×D411yescharacteristic
640#11924007C2×D411yescharacteristic
641#11924007C2×D411yescharacteristic
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73C2×D411yescharacteristic
650C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005C2×D411yescharacteristic
674#11924005C2×D411yescharacteristic
675#11924005C2×D411yescharacteristic
676#11924005C2×D411yescharacteristic
677#11924005C2×D411yescharacteristic
678#11924005C2×D411yescharacteristic
679C4×Dic73—21no—
680C4×Dic73—21no—
681C4×Dic73—21no—
682C4×Dic73—21no—
683C4×Dic73—21no—
684C4×Dic73C2411yescharacteristic
685C24×C73—21no—
686C24×C73—21no—
687C2×Q8×C73—21no—
688C2×Q8×C73C2411yescharacteristic
689C2×D4×C73—22no—
690C2×D4×C73—22no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—41no—
698C2×D4×C73—41no—
699C2×D4×C73—82no—
700C2×D4×C73C2×D411yescharacteristic
701C2×D4×C73C2411yescharacteristic
702C2×D4×C73C2411yescharacteristic
703C2×D4×C73C2411yescharacteristic
704C22×C4×C73—21no—
705C22×C4×C73C2411yescharacteristic
706C22×C4×C73C2411yescharacteristic
707SD16×C73—22no—
708SD16×C73—41no—
709SD16×C73—41no—
710M16×C73—41no—
711M16×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×C73C2×D411yescharacteristic
721C4⋊C4×C73C2411yescharacteristic
722C4⋊C4×C73C2411yescharacteristic
723C4⋊C4×C73C2411yescharacteristic
724C4⋊C4×C73C2411yescharacteristic
725C22⋊C4×C73—21no—
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×C73C2×D411yescharacteristic
733C22⋊C4×C73C2×D411yescharacteristic
734C42×C73—21no—
735C42×C73—21no—
736C42×C73—21no—
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—42no—
742C23×C73—42no—
743C23×C73—42no—
744C23×C73—81no—
745C23×C73—81no—
746C23×C73—81no—
747C23×C73C22×D411yescharacteristic
748C23×C73C22×D411yescharacteristic
749C22×D73—21no—
750C22×D73—21no—
751C22×D73—21no—
752C22×D73—41no—
753C22×D73—41no—
754C22×D73—41no—
755C22×D73—42no—
756C22×D73—42no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73—81no—
762C22×D73—81no—
763C22×D73—81no—
764C22×D73C22×D411yescharacteristic
765C22×D73C22×D411yescharacteristic
766C22×D73C22×D411yescharacteristic
767Q8×C73—21no—
768Q8×C73—21no—
769Q8×C73—81no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—21no—
775D4×C73—41no—
776D4×C73—42no—
777D4×C73—42no—
778D4×C73—42no—
779D4×C73—81no—
780D4×C73—81no—
781D4×C73—81no—
782D4×C73H(5,𝔽2)12yes—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—21no—
792C2×C4×C73—81no—
793C2×C4×C73C22×D411yescharacteristic
794C2×C4×C73C22×D411yescharacteristic
795C2×C4×C73C22×D411yescharacteristic
796C2×C4×C73C22×D411yescharacteristic
797C2×C4×C73C2511yescharacteristic
798C22⋊D73—24no—
799C22⋊D73—41no—
800C22⋊D73—41no—
801C22⋊D73—41no—
802C22⋊D73—41no—
803C22⋊D73—42no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—42no—
807C22⋊D73—42no—
808C22⋊D73—42no—
809C22⋊D73—42no—
810C22⋊D73—42no—
811C22⋊D73—81no—
812C22⋊D73—81no—
813C22⋊D73—81no—
814C22⋊D73—81no—
815C22⋊D73—81no—
816C22⋊D73—81no—
817C2×Dic73—24no—
818C2×Dic73—21no—
819C2×Dic73—21no—
820C2×Dic73—21no—
821C2×Dic73—21no—
822C2×Dic73—21no—
823C2×Dic73—41no—
824C2×Dic73—42no—
825C2×Dic73—42no—
826C2×Dic73—42no—
827C2×Dic73—42no—
828C2×Dic73—42no—
829C2×Dic73—81no—
830C2×Dic73C22×D411yescharacteristic
831C2×Dic73C22×D411yescharacteristic
832C2×Dic73C22×D411yescharacteristic
833C2×Dic73C22×D411yescharacteristic
834C2×Dic73C22×D411yescharacteristic
835D292—21no—
836D292—21no—
837D292—21no—
838D292—21no—
839D292—21no—
840D292—21no—
841D292—41no—
842D292—41no—
843D292—81no—
844D292—81no—
845D292—81no—
846D292—81no—
847D292—81no—
848D292—81no—
849D292—81no—
850D292—81no—
851C4×D73—21no—
852C4×D73—21no—
853C4×D73—21no—
854C4×D73—21no—
855C4×D73—21no—
856C4×D73—21no—
857C4×D73—41no—
858C4×D73—41no—
859C4×D73—42no—
860C4×D73—81no—
861C4×D73—81no—
862C4×D73—81no—
863C4×D73—81no—
864C4×D73—81no—
865C4×D73—81no—
866Dic146—21no—
867Dic146—21no—
868Dic146—21no—
869Dic146—21no—
870Dic146—21no—
871Dic146—41no—
872Dic146—42no—
873Dic146—81no—
874Dic146—81no—
875Dic146H(5,𝔽2)12yes—
876C8×C73—21no—
877C8×C73—21no—
878C8×C73—21no—
879C8×C73—21no—
880#10596831—21no—
881#10596831—21no—
882#10596831—21no—
883#10596831—21no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—21no—
887C22×C73—21no—
888C22×C73—22no—
889C22×C73—21no—
890C22×C73—21no—
891C22×C73—41no—
892C22×C73—41no—
893C22×C73—41no—
894C22×C73—41no—
895C22×C73—41no—
896C22×C73—41no—
897C22×C73—41no—
898C22×C73—41no—
899C22×C73—84no—
900C22×C73—162no—
901C22×C73C23×D411yescharacteristic
902C2×D73—21no—
903C2×D73—21no—
904C2×D73—21no—
905C2×D73—21no—
906C2×D73—21no—
907C2×D73—21no—
908C2×D73—21no—
909C2×D73—21no—
910C2×D73—21no—
911C2×D73—41no—
912C2×D73—41no—
913C2×D73—41no—
914C2×D73—41no—
915C2×D73—41no—
916C2×D73—41no—
917C2×D73—41no—
918C2×D73—41no—
919C2×D73—41no—
920C2×D73—82no—
921C2×D73—162no—
922C2×D73—162no—
923C2×D73—162no—
924C4×C73—21no—
925C4×C73—21no—
926C4×C73—21no—
927C4×C73—21no—
928C4×C73—41no—
929C4×C73—41no—
930C4×C73—41no—
931C4×C73—41no—
932C4×C73—41no—
933C4×C73C2×H(5,𝔽2)11yescharacteristic
934C4×C73C2×H(5,𝔽2)11yescharacteristic
935Dic73—21no—
936Dic73—21no—
937Dic73—22no—
938Dic73—21no—
939Dic73—21no—
940Dic73—21no—
941Dic73—41no—
942Dic73—41no—
943Dic73—41no—
944Dic73—41no—
945#61625—731nomaximal, Sylow
946C2×C73—41no—
947C2×C73—41no—
948C2×C73—42no—
949C2×C73—81no—
950C2×C73—81no—
951C2×C73#348411yescharacteristic
952C2×C73#358411yescharacteristic
953C2×C73#358511yescharacteristic
954D73—41no—
955D73—41no—
956D73—41no—
957D73—81no—
958D73—81no—
959D73—81no—
960#3540—731no—
961#3488—731no—
962#3325—731no—
963#3324D7311yescharacteristic, complemented
964#3321—731no—
965#3319—731no—
966#3313—731no—
967#3311—731no—
968#3305—731no—
969#3304—731no—
970#3282—731no—
971#3280—731no—
972#3277—731no—
973#3275—731no—
974#3271—731no—
975#3268—731no—
976#3265—731no—
977#3264—731no—
978#3224—731no—
979#3224—731no—
980#3201—731no—
981#3198—731no—
982#3194—731no—
983#3188—731no—
984#3125—731no—
985#3124—731no—
986#3009—731no—
987#3008—731no—
988#3005—731no—
989#3002—731no—
990#2976—731no—
991C73#6162511yescharacteristic, complemented, Sylow
992C2×H(5,𝔽2)—731no—
993C22×#41—731no—
994C2×#137—731no—
995C2×#137—731no—
996C2×AGL(1,ℤ/8)—731no—
997C2×AGL(1,ℤ/8)—731no—
998C2×#135—731no—
999C2×#135—731no—
1000C22×SD16—731no—
1001C22×D8—731no—
1002H(3,𝔽4)—1461no—
1003#560—1461no—
1004#559—1461no—
1005#556—731no—
1006#556C2×D7311yescharacteristic, complemented
1007#555—731no—
1008#555—731no—
1009#551—1461no—
1010#550—731no—
1011#550—731no—
1012#548—731no—
1013#548—731no—
1014#548—731no—
1015#548—731no—
1016#546—731no—
1017#546—731no—
1018#546—731no—
1019#546—731no—
1020#546—1461no—
1021#546—1461no—
1022D42—731no—
1023D42—1461no—
1024D42—1461no—
1025D42C2×D7311yescharacteristic
1026#542—731no—
1027#542—731no—
1028#542—1461no—
1029#542—1461no—
1030#538—1461no—
1031#538—1461no—
1032#537—731no—
1033#537—1461no—
1034#536—731no—
1035#535—731no—
1036#535—731no—
1037#535—1461no—
1038#525—731no—
1039#525—731no—
1040#525—731no—
1041#525—1461no—
1042C2×#121—731no—
1043C2×#121—1461no—
1044#520—731no—
1045#496—731no—
1046#496—731no—
1047#495—731no—
1048#495—731no—
1049#489—731no—
1050#489—731no—
1051#486—731no—
1052#486C2×D7311yescharacteristic, complemented
1053#485—731no—
1054#485—731no—
1055#484—731no—
1056#483—731no—
1057#482—731no—
1058#482—731no—
1059#482—731no—
1060#482—731no—
1061#482C2×D7311yescharacteristic, complemented
1062#482C2×D7311yescharacteristic, complemented
1063#481—731no—
1064#480—731no—
1065#477—731no—
1066#476—731no—
1067#475—731no—
1068#474C2×D7311yescharacteristic, complemented
1069#470—731no—
1070#469—731no—
1071#469—731no—
1072#469—731no—
1073#468—731no—
1074#468—731no—
1075#468C2×D7311yescharacteristic, complemented
1076#468C2×D7311yescharacteristic, complemented
1077#467—731no—
1078#466—731no—
1079#466—731no—
1080#466—731no—
1081#465—731no—
1082#465—731no—
1083#465—731no—
1084#465—731no—
1085#464—731no—
1086#464—731no—
1087#464—731no—
1088#464—731no—
1089#463—731no—
1090#463—731no—
1091#463—731no—
1092#463—731no—
1093#460—731no—
1094#460C2×D7311yescharacteristic, complemented
1095#459—731no—
1096#459—731no—
1097#452—731no—
1098#452—731no—
1099#452—731no—
1100#452—731no—
1101#452—731no—
1102#452—731no—
1103#452—731no—
1104#452—731no—
1105#451—731no—
1106#451—731no—
1107#450—731no—
1108#450—731no—
1109#450—731no—
1110#450—731no—
1111#450C2×D7311yescharacteristic, complemented
1112#450C2×D7311yescharacteristic, complemented
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449—731no—
1119#449—731no—
1120#449—731no—
1121#449—731no—
1122#449—731no—
1123#449—731no—
1124#449—731no—
1125#448—731no—
1126#448—731no—
1127#447—731no—
1128#447—731no—
1129#447—731no—
1130#447—731no—
1131#447—731no—
1132#447—731no—
1133#442—731no—
1134#441—731no—
1135#440—731no—
1136#440—731no—
1137C4×Q16—731no—
1138C4×SD16—731no—
1139C4×SD16C2×D7311yescharacteristic, complemented
1140C4×D8—731no—
1141#436—731no—
1142#436C2×D7311yescharacteristic, complemented
1143#435—731no—
1144#435—731no—
1145#435—731no—
1146#435—731no—
1147C8×D4—731no—
1148C8×D4—731no—
1149#433—731no—
1150#433—731no—
1151#419—731no—
1152#418—731no—
1153#418C2×D7311yescharacteristic, complemented
1154#418C2×D7311yescharacteristic, complemented
1155#416—731no—
1156#416—731no—
1157#416—731no—
1158#416—731no—
1159#408—731no—
1160#408—731no—
1161#407—731no—
1162C2×C22⋊C8—731no—
1163H(5,𝔽2)—2922no—
1164H(5,𝔽2)—2922no—
1165C2×#41—2922no—
1166C2×#41—2922no—
1167C2×#41—731no—
1168C2×#41—731no—
1169C2×#41—731no—
1170C2×#41—731no—
1171C2×#41—731no—
1172C2×#41—731no—
1173C2×#41—731no—
1174C2×#41—731no—
1175C2×#41—731no—
1176C2×#41—1461no—
1177C2×#41—1461no—
1178C2×#41—1461no—
1179C22×Q8—731no—
1180C22×Q8—731no—
1181C22×D4—21no—
1182C22×D4—731no—
1183C22×D4—731no—
1184C22×D4—731no—
1185C22×D4—1461no—
1186C22×D4—1461no—
1187C22×D4—1461no—
1188C22×D4—1461no—
1189C22×D4—1461no—
1190C22×D4—1461no—
1191C22×D4C22×D7311yescharacteristic
1192C22×D4C22×D7311yescharacteristic
1193C23×C4—731no—
1194C23×C4—1461no—
1195#137—2922no—
1196#137—2922no—
1197AGL(1,ℤ/8)—2922no—
1198AGL(1,ℤ/8)—2922no—
1199#135—2922no—
1200#135—2922no—
1201C2×Q16—731no—
1202C2×Q16—731no—
1203C2×Q16—731no—
1204C2×Q16—731no—
1205C2×SD16—2922no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16—731no—
1209C2×SD16—731no—
1210C2×SD16—731no—
1211C2×SD16—731no—
1212C2×SD16—731no—
1213C2×SD16—731no—
1214C2×SD16—731no—
1215C2×SD16C22×D7311yescharacteristic
1216C2×SD16C22×D7311yescharacteristic
1217C2×SD16C22×D7311yescharacteristic
1218C2×D8—2922no—
1219C2×D8—731no—
1220C2×D8—731no—
1221C2×D8—731no—
1222C2×D8—731no—
1223C2×D8—731no—
1224C2×D8—731no—
1225C2×D8—731no—
1226C2×D8—731no—
1227C2×M16—731no—
1228C2×M16—731no—
1229C2×M16C22×D7311yescharacteristic
1230C2×M16C22×D7311yescharacteristic
1231C22×C8—731no—
1232C22×C8—731no—
1233C22×C8—731no—
1234C22×C8—731no—
1235C4⋊Q8—731no—
1236C4⋊Q8—1461no—
1237C4⋊Q8C22×D7311yescharacteristic
1238#127—731no—
1239#127—1461no—
1240#127—1461no—
1241#127—1461no—
1242#127C22×D7311yescharacteristic
1243#126—21no—
1244#126—21no—
1245#126—1461no—
1246#126—1461no—
1247#126—1461no—
1248#126—1461no—
1249#124—21no—
1250#124—731no—
1251#124—731no—
1252#124—731no—
1253#124—731no—
1254#124—1461no—
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#124—1461no—
1267#123—731no—
1268#123—731no—
1269#123—1461no—
1270#123—1461no—
1271#123—1461no—
1272#123—1461no—
1273#123—1461no—
1274#123—1461no—
1275#123—1461no—
1276#123—1461no—
1277#123—1461no—
1278#123—1461no—
1279C22⋊Q8—731no—
1280C22⋊Q8—731no—
1281C22⋊Q8—731no—
1282C22⋊Q8—731no—
1283C22⋊Q8—731no—
1284C22⋊Q8—731no—
1285C22⋊Q8—731no—
1286C22⋊Q8—731no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291C22⋊Q8—1461no—
1292C22⋊Q8—1461no—
1293C22⋊Q8—1461no—
1294C22⋊Q8C22×D7311yescharacteristic
1295C22⋊Q8C22×D7311yescharacteristic
1296#121—21no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—731no—
1305#121—731no—
1306#121—731no—
1307#121—731no—
1308#121—731no—
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#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#121C22×D7311yescharacteristic
1332#121C22×D7311yescharacteristic
1333#120—21no—
1334#120—21no—
1335#120—731no—
1336#120—731no—
1337#120—1461no—
1338#120—1461no—
1339#120—1461no—
1340#120—1461no—
1341#120—1461no—
1342#120—1461no—
1343#120—1461no—
1344#120—1461no—
1345#120—1461no—
1346#120—1461no—
1347#120—1461no—
1348#120—1461no—
1349C4×Q8—21no—
1350C4×Q8—731no—
1351C4×Q8—731no—
1352C4×Q8—731no—
1353C4×Q8—1461no—
1354C4×Q8C22×D7311yescharacteristic
1355C4×D4—731no—
1356C4×D4—731no—
1357C4×D4—731no—
1358C4×D4—731no—
1359C4×D4—731no—
1360C4×D4—731no—
1361C4×D4—1461no—
1362C4×D4—1461no—
1363C4×D4—1461no—
1364C4×D4—1461no—
1365C4×D4—1461no—
1366C4×D4—1461no—
1367C4×D4—1461no—
1368C4×D4—1461no—
1369C4×D4—1461no—
1370C4×D4—1461no—
1371C4×D4—1461no—
1372C4×D4—1461no—
1373C4×D4C22×D7311yescharacteristic
1374C4×D4C22×D7311yescharacteristic
1375#117—731no—
1376#117—731no—
1377#117—731no—
1378#117—1461no—
1379#117—1461no—
1380#117—1461no—
1381#117C22×D7311yescharacteristic
1382#117C22×D7311yescharacteristic
1383C2×C4⋊C4—731no—
1384C2×C4⋊C4—1461no—
1385C2×C22⋊C4—1461no—
1386C2×C22⋊C4—1461no—
1387C2×C22⋊C4—1461no—
1388C2×C22⋊C4—1461no—
1389C2×C22⋊C4—1461no—
1390#107—731no—
1391#107—731no—
1392#107C22×D7311yescharacteristic
1393#107C22×D7311yescharacteristic
1394#106—731no—
1395#106—731no—
1396#106—731no—
1397#106C22×D7311yescharacteristic
1398C4⋊C8—731no—
1399C4⋊C8—731no—
1400C4⋊C8—731no—
1401C4⋊C8C22×D7311yescharacteristic
1402#103—731no—
1403#103—731no—
1404#103—731no—
1405#103—731no—
1406#103—731no—
1407#103—731no—
1408#103—731no—
1409#103—731no—
1410#103—731no—
1411#103—731no—
1412#103—731no—
1413#103C22×D7311yescharacteristic
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102—731no—
1422#102—731no—
1423#102—731no—
1424#102—731no—
1425#102C22×D7311yescharacteristic
1426#102C22×D7311yescharacteristic
1427#102C22×D7311yescharacteristic
1428#102C22×D7311yescharacteristic
1429#102C22×D7311yescharacteristic
1430#102C22×D7311yescharacteristic
1431#102C22×D7311yescharacteristic
1432#102C22×D7311yescharacteristic
1433#102C22×D7311yescharacteristic
1434C22⋊C8—731no—
1435C22⋊C8—731no—
1436C22⋊C8—731no—
1437C22⋊C8—731no—
1438C22⋊C8—731no—
1439C22⋊C8—731no—
1440C22⋊C8—731no—
1441C22⋊C8—731no—
1442C22⋊C8—731no—
1443C22⋊C8—731no—
1444C22⋊C8C22×D7311yescharacteristic
1445C22⋊C8C22×D7311yescharacteristic
1446#97—731no—
1447#97—731no—
1448C4×C8—731no—
1449C4×C8C22×D7311yescharacteristic
1450C24—21no—
1451C24—21no—
1452C24—731no—
1453C24—1461no—
1454C24—1461no—
1455C24—1461no—
1456#41—2921no—
1457#41—2921no—
1458#41—2921no—
1459#41—2921no—
1460#41—2921no—
1461#41—2924no—
1462#41—2921no—
1463#41—2921no—
1464#41—2921no—
1465#41—2921no—
1466#41—2921no—
1467#41—2924no—
1468#41—2924no—
1469#41—2921no—
1470#41—2921no—
1471#41—1462no—
1472#41—1462no—
1473#41—1462no—
1474#41—1462no—
1475#41—1462no—
1476#41—1462no—
1477C2×Q8—21no—
1478C2×Q8—2921no—
1479C2×Q8—2921no—
1480C2×Q8—2921no—
1481C2×Q8—731no—
1482C2×Q8—731no—
1483C2×Q8—731no—
1484C2×Q8—731no—
1485C2×Q8—1462no—
1486C2×Q8—1461no—
1487C2×Q8—1461no—
1488C2×Q8—1461no—
1489C2×Q8C23×D7311yescharacteristic
1490C2×D4—22no—
1491C2×D4—22no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—41no—
1499C2×D4—41no—
1500C2×D4—82no—
1501C2×D4—2921no—
1502C2×D4—2921no—
1503C2×D4—2924no—
1504C2×D4—2924no—
1505C2×D4—2924no—
1506C2×D4—2921no—
1507C2×D4—2921no—
1508C2×D4—2921no—
1509C2×D4—2924no—
1510C2×D4—5842no—
1511C2×D4—5842no—
1512C2×D4—731no—
1513C2×D4—731no—
1514C2×D4—731no—
1515C2×D4—731no—
1516C2×D4—731no—
1517C2×D4—731no—
1518C2×D4—731no—
1519C2×D4—731no—
1520C2×D4—731no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1461no—
1532C2×D4—1461no—
1533C2×D4—1461no—
1534C2×D4—1461no—
1535C2×D4—1461no—
1536C2×D4—1461no—
1537C2×D4—1461no—
1538C2×D4—1462no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4D4×D7311yescharacteristic
1546C2×D4C23×D7311yescharacteristic
1547C2×D4C23×D7311yescharacteristic
1548C2×D4C23×D7311yescharacteristic
1549C22×C4—21no—
1550C22×C4—2921no—
1551C22×C4—2921no—
1552C22×C4—2924no—
1553C22×C4—731no—
1554C22×C4—731no—
1555C22×C4—731no—
1556C22×C4—731no—
1557C22×C4—731no—
1558C22×C4—731no—
1559C22×C4—1461no—
1560C22×C4—1461no—
1561C22×C4—1461no—
1562C22×C4—1461no—
1563C22×C4—1461no—
1564C22×C4—1461no—
1565C22×C4—1461no—
1566C22×C4—1461no—
1567C22×C4—1461no—
1568C22×C4—1461no—
1569C22×C4—1461no—
1570C22×C4—1461no—
1571C22×C4—1461no—
1572C22×C4—1461no—
1573C22×C4C23×D7311yescharacteristic
1574C22×C4C23×D7311yescharacteristic
1575Q16—2921no—
1576Q16—2921no—
1577Q16—1462no—
1578Q16—1462no—
1579SD16—22no—
1580SD16—41no—
1581SD16—41no—
1582SD16—2921no—
1583SD16—2921no—
1584SD16—2921no—
1585SD16—2921no—
1586SD16—2921no—
1587SD16—2921no—
1588SD16—1462no—
1589SD16—1462no—
1590SD16—1462no—
1591D8—2921no—
1592D8—2921no—
1593D8—2921no—
1594D8—2921no—
1595D8—2921no—
1596D8—2921no—
1597D8—1462no—
1598D8—1462no—
1599M16—41no—
1600M16—41no—
1601M16—2921no—
1602M16—2921no—
1603C2×C8—2921no—
1604C2×C8—2921no—
1605C2×C8—2921no—
1606C2×C8—2921no—
1607C2×C8—731no—
1608C2×C8—731no—
1609C2×C8—731no—
1610C2×C8—731no—
1611C2×C8C23×D7311yescharacteristic
1612C2×C8C23×D7311yescharacteristic
1613C2×C8C23×D7311yescharacteristic
1614C2×C8C23×D7311yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—731no—
1620C4⋊C4—731no—
1621C4⋊C4—731no—
1622C4⋊C4—731no—
1623C4⋊C4—731no—
1624C4⋊C4—731no—
1625C4⋊C4—731no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4—1461no—
1636C4⋊C4—1461no—
1637C4⋊C4D4×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C4⋊C4C23×D7311yescharacteristic
1640C4⋊C4C23×D7311yescharacteristic
1641C4⋊C4C23×D7311yescharacteristic
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—731no—
1650C22⋊C4—731no—
1651C22⋊C4—731no—
1652C22⋊C4—731no—
1653C22⋊C4—731no—
1654C22⋊C4—731no—
1655C22⋊C4—731no—
1656C22⋊C4—731no—
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⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4—1461no—
1679C22⋊C4—1461no—
1680C22⋊C4—1461no—
1681C22⋊C4—1461no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4D4×D7311yescharacteristic
1687C22⋊C4D4×D7311yescharacteristic
1688C42—21no—
1689C42—21no—
1690C42—21no—
1691C42—731no—
1692C42—1461no—
1693C42—1461no—
1694C42—1461no—
1695C42—1461no—
1696C42—1461no—
1697C42C23×D7311yescharacteristic
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—42no—
1702C23—42no—
1703C23—42no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—2922no—
1708C23—2921no—
1709C23—2921no—
1710C23—2921no—
1711C23—2922no—
1712C23—5841no—
1713C23—5841no—
1714C23—5841no—
1715C23—5841no—
1716C23—5841no—
1717C23—5841no—
1718C23—5841no—
1719C23—731no—
1720C23—731no—
1721C23—731no—
1722C23—1461no—
1723C23—1461no—
1724C23—1461no—
1725C23C2×D4×D7311yescharacteristic
1726C23C2×D4×D7311yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—81no—
1730Q8—2922no—
1731Q8—2921no—
1732Q8—5841no—
1733Q8—5841no—
1734Q8—732no—
1735Q8—1461no—
1736Q8—1461no—
1737Q8—1461no—
1738Q8—1461no—
1739Q8—1461no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—41no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—81no—
1750D4—81no—
1751D4—81no—
1752D4—2921no—
1753D4—2921no—
1754D4—2922no—
1755D4—2922no—
1756D4—2922no—
1757D4—2922no—
1758D4—2922no—
1759D4—2921no—
1760D4—2921no—
1761D4—2921no—
1762D4—2921no—
1763D4—2922no—
1764D4—2922no—
1765D4—2922no—
1766D4—5841no—
1767D4—5841no—
1768D4—5841no—
1769D4—5841no—
1770D4—5841no—
1771D4—5841no—
1772D4—5841no—
1773D4—5841no—
1774D4—5841no—
1775D4—5841no—
1776D4—5841no—
1777D4—5841no—
1778D4—5841no—
1779D4—5841no—
1780D4—1464no—
1781D4—1461no—
1782D4—1461no—
1783D4—1461no—
1784D4—1461no—
1785D4—1461no—
1786D4—1461no—
1787D4#1455663712yes—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—81no—
1798C2×C4—2922no—
1799C2×C4—2921no—
1800C2×C4—2921no—
1801C2×C4—2922no—
1802C2×C4—2922no—
1803C2×C4—2922no—
1804C2×C4—2921no—
1805C2×C4—2922no—
1806C2×C4—2922no—
1807C2×C4—5841no—
1808C2×C4—5841no—
1809C2×C4—5841no—
1810C2×C4—5841no—
1811C2×C4—5841no—
1812C2×C4—5841no—
1813C2×C4—5841no—
1814C2×C4—731no—
1815C2×C4—731no—
1816C2×C4—731no—
1817C2×C4—731no—
1818C2×C4—731no—
1819C2×C4—1461no—
1820C2×C4—1461no—
1821C2×C4—1461no—
1822C2×C4—1461no—
1823C2×C4—1464no—
1824C2×C4—1461no—
1825C2×C4—1461no—
1826C2×C4—1461no—
1827C2×C4—1461no—
1828C2×C4—1461no—
1829C2×C4—1461no—
1830C2×C4—1461no—
1831C2×C4C2×D4×D7311yescharacteristic
1832C2×C4C2×D4×D7311yescharacteristic
1833C2×C4C2×D4×D7311yescharacteristic
1834C2×C4C2×D4×D7311yescharacteristic
1835C2×C4C24×D7311yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—1461no—
1841C8—1461no—
1842C8—1461no—
1843C8—1461no—
1844C22—21no—
1845C22—21no—
1846C22—22no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—84no—
1860C22—162no—
1861C22—2921no—
1862C22—2921no—
1863C22—2921no—
1864C22—2921no—
1865C22—2921no—
1866C22—2921no—
1867C22—2921no—
1868C22—2921no—
1869C22—2921no—
1870C22—5842no—
1871C22—11682no—
1872C22—11682no—
1873C22—11682no—
1874C22—1461no—
1875C22—1461no—
1876C22—1461no—
1877C22—1461no—
1878C22—1461no—
1879C22—1461no—
1880C22—1461no—
1881C22—1461no—
1882C22—1461no—
1883C22C22×D4×D7311yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—2921no—
1894C4—2921no—
1895C4—2921no—
1896C4—2921no—
1897C4—1461no—
1898C4—1461no—
1899C4—1462no—
1900C4—1461no—
1901C4—1461no—
1902C4—1461no—
1903C4H(5,𝔽2)×D7311yescharacteristic
1904C4C2×#1455663711yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—42no—
1908C2—81no—
1909C2—81no—
1910C2—2921no—
1911C2—2921no—
1912C2—2921no—
1913C2—5841no—
1914C2—5841no—
1915C2—5841no—
1916C2#2262356111yescharacteristic
1917C2#2262470311yescharacteristic
1918C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3324C2
socleC22×C73C23×D4
hypercenter#3324D73
hypocenterC73#61625
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3324

Complements

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

NH ≅ G/Ntype
1. #22624207C2semidirect
2. #22623591C2semidirect
3. #22622169C2semidirect
4. #22622120C2semidirect
5. #22622084C2semidirect
6. #22621991C2semidirect
7. #22621968C2semidirect
8. #22621880C2semidirect
9. #22621868C2semidirect
10. #22621640C2semidirect
11. #22621609C2semidirect
12. #22621585C2semidirect
13. #22621567C2semidirect
14. #22621511C2semidirect
15. #22621478C2semidirect
16. #22621424C2semidirect
17. #22621407C2semidirect
18. #22621030C2semidirect
19. #22621028C2semidirect
20. #22620808C2semidirect
21. #22620781C2semidirect
22. #22620746C2semidirect
23. #22620700C2semidirect
24. #22620204C2semidirect
25. #22620198C2semidirect
26. #22619203C2semidirect
27. #22619200C2semidirect
28. #22619175C2semidirect
29. #22619150C2semidirect
30. #22618975C2semidirect
31. C73×#3324C2semidirect
33. C22×#11924027C22semidirect
34. C2×#14556624C22semidirect
35. C2×#14556620C22semidirect
36. C2×#14556619C22semidirect
37. C2×#14556617C22semidirect
38. C2×#14556612C22semidirect
39. C2×#14556612C22semidirect
40. C2×SD16×D73C22semidirect
41. C22×#11924013C22semidirect
45. #17989305C22semidirect
46. #17989303C22semidirect
47. #17989300C22semidirect
49. #17989257C22semidirect
51. #17989249C22semidirect
52. #17989247C22semidirect
54. #17989243C22semidirect
55. #17989233C22semidirect
56. #17989232C22semidirect
58. #17989228C22semidirect
62. D4×C22⋊D73C22semidirect
64. #17989211C22semidirect
66. #17989209C22semidirect
72. #17989160C22semidirect
73. #17989156C22semidirect
75. #17989150C22semidirect
76. #17989100C22semidirect
77. #17989099C22semidirect
81. #121×D73C22semidirect
82. #17989066C22semidirect
83. #17988974C22semidirect
84. #17988973C22semidirect
85. #17988971C22semidirect
86. #17988968C22semidirect
87. #17988949C22semidirect
88. #17988945C22semidirect
89. #17988932C22semidirect
90. #17988930C22semidirect
91. #17988928C22semidirect
92. #17988924C22semidirect
93. #17988916C22semidirect
94. #17988914C22semidirect
95. #17988911C22semidirect
96. #17988910C22semidirect
97. #17988910C22semidirect
98. #17988907C22semidirect
99. #17988902C22semidirect
100. #17988879C22semidirect
101. #17988875C22semidirect
102. #17988871C22semidirect
103. #17988845C22semidirect
104. #17988840C22semidirect
105. #17988839C22semidirect
106. #17988838C22semidirect
107. #17988835C22semidirect
108. #17988834C22semidirect
109. #17988826C22semidirect
110. #17988824C22semidirect
111. #17988822C22semidirect
112. #17988822C22semidirect
113. #17988817C22semidirect
114. #17988817C22semidirect
115. #17988815C22semidirect
116. #17988814C22semidirect
117. #17988812C22semidirect
118. #17988810C22semidirect
119. #17988809C22semidirect
120. #17988808C22semidirect
121. #17988804C22semidirect
122. #17988803C22semidirect
123. #17988802C22semidirect
124. #17988801C22semidirect
125. #17988786C22semidirect
126. #17988781C22semidirect
127. #17988779C22semidirect
128. #17988751C22semidirect
129. #17988750C22semidirect
130. #17988750C22semidirect
131. #17988750C22semidirect
132. #17988750C22semidirect
133. #17988747C22semidirect
134. #17988746C22semidirect
135. #17988746C22semidirect
136. #17988744C22semidirect
137. #17988742C22semidirect
138. #17988740C22semidirect
139. #17988739C22semidirect
140. #17988738C22semidirect
141. #17988736C22semidirect
142. #17988735C22semidirect
143. #17988734C22semidirect
146. #17988733C22semidirect
147. #17988733C22semidirect
148. #17988733C22semidirect
149. #17988733C22semidirect
150. #17988733C22semidirect
151. #17988733C22semidirect
152. #17988731C22semidirect
153. #17988730C22semidirect
154. #17988728C22semidirect
155. #17988724C22semidirect
156. #17988722C22semidirect
157. #17988722C22semidirect
158. #17988722C22semidirect
159. #17988722C22semidirect
160. #17988721C22semidirect
161. #17988720C22semidirect
162. #17988697C22semidirect
163. #17988692C22semidirect
164. #17988686C22semidirect
165. #17988684C22semidirect
166. #17988681C22semidirect
167. C4×#11924017C22semidirect
168. #17988667C22semidirect
169. #17988663C22semidirect
170. #17988661C22semidirect
171. #17988659C22semidirect
172. #17988657C22semidirect
173. #17988656C22semidirect
174. C8×D292C22semidirect
175. #17988650C22semidirect
176. #17988647C22semidirect
177. #17988646C22semidirect
178. #17988595C22semidirect
179. #17988590C22semidirect
180. #17988581C22semidirect
181. #17988580C22semidirect
182. #17988580C22semidirect
183. #17988580C22semidirect
184. #17988555C22semidirect
185. #17988552C22semidirect
186. #17988550C22semidirect
187. C22⋊C8×D73C22semidirect
188. #556×C73C22semidirect
190. #486×C73C22semidirect
191. #482×C73C22semidirect
192. #482×C73C22semidirect
193. #474×C73C22semidirect
194. #468×C73C22semidirect
195. #468×C73C22semidirect
196. #460×C73C22semidirect
197. #450×C73C22semidirect
198. #450×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. #436×C73C22semidirect
201. #418×C73C22semidirect
202. #418×C73C22semidirect
963. #3324D73semidirect
991. C73#61625semidirect
1006. #556C2×D73semidirect
1052. #486C2×D73semidirect
1061. #482C2×D73semidirect
1062. #482C2×D73semidirect
1068. #474C2×D73semidirect
1075. #468C2×D73semidirect
1076. #468C2×D73semidirect
1094. #460C2×D73semidirect
1111. #450C2×D73semidirect
1112. #450C2×D73semidirect
1139. C4×SD16C2×D73semidirect
1142. #436C2×D73semidirect
1153. #418C2×D73semidirect
1154. #418C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242072
#226235912
#226221692
#226221202
#226220842
#226219912
#226219682
#226218802
#226218682
#226216402
#226216092
#226215852
#226215672
#226215112
#226214782
#226214242
#226214072
#226210302
#226210282
#226208082
#226207812
#226207462
#226207002
#226202042
#226201982
#226192032
#226192002
#226191752
#226191502
#226189752
C73×#33242
#6162573