Finite Group Databasebeta

← #33972196

Subgroups — #33972196

Order 18688.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624199C211yesmaximal, characteristic, complemented
2#22623589C211yesmaximal, characteristic, complemented
3#22622121C211yesmaximal, characteristic, complemented
4#22622113C211yesmaximal, characteristic, complemented
5#22622001C211yesmaximal, characteristic, complemented
6#22621993C211yesmaximal, characteristic, complemented
7#22621877C211yesmaximal, characteristic, complemented
8#22621874C211yesmaximal, characteristic, complemented
9#22621866C211yesmaximal, characteristic, complemented
10#22621863C211yesmaximal, characteristic, complemented
11#22621670C211yesmaximal, characteristic, complemented
12#22621666C211yesmaximal, characteristic, complemented
13#22621641C211yesmaximal, characteristic, complemented
14#22621632C211yesmaximal, characteristic, complemented
15#22621520C211yesmaximal, characteristic, complemented
16#22621516C211yesmaximal, characteristic, complemented
17#22621471C211yesmaximal, characteristic, complemented
18#22621464C211yesmaximal, characteristic, complemented
19#22621029C211yesmaximal, characteristic, complemented
20#22621021C211yesmaximal, characteristic, complemented
21#22620800C211yesmaximal, characteristic, complemented
22#22620794C211yesmaximal, characteristic, complemented
23#22620724C211yesmaximal, characteristic, complemented
24#22620719C211yesmaximal, characteristic, complemented
25#22620161C211yesmaximal, characteristic, complemented
26#22620153C211yesmaximal, characteristic, complemented
27#22619221C211yesmaximal, characteristic, complemented
28#22619212C211yesmaximal, characteristic, complemented
29#22619149C211yesmaximal, characteristic, complemented
30#22618985C211yesmaximal, characteristic, complemented
31C73×#3002C211yesmaximal, characteristic, complemented
32C2×#14556639C2211yescharacteristic
33C2×#14556623C2211yescharacteristic, complemented
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556611C2211yescharacteristic
36C2×#14556611C2211yescharacteristic
37C2×Q16×D73C2211yescharacteristic, complemented
38C2×SD16×D73C2211yescharacteristic, complemented
39#17989330—21no—
40#17989326—21no—
41#17989320—21no—
42#17989308C2211yescharacteristic, complemented
43#17989305C2211yescharacteristic, complemented
44#17989301C2211yescharacteristic, complemented
45#17989300C2211yescharacteristic, complemented
46#17989266—21no—
47#17989256—21no—
48#17989256—21no—
49#17989256C2211yescharacteristic
50#17989256C2211yescharacteristic
51#17989256C2211yescharacteristic, complemented
52#17989256C2211yescharacteristic, complemented
53#17989247C2211yescharacteristic, complemented
54#17989244—21no—
55#17989244—21no—
56#17989244C2211yescharacteristic
57#17989244C2211yescharacteristic
58#17989244C2211yescharacteristic, complemented
59#17989244C2211yescharacteristic, complemented
60#17989244C2211yescharacteristic, complemented
61#17989234C2211yescharacteristic, complemented
62#17989225C2211yescharacteristic, complemented
63#17989210C2211yescharacteristic
64#17989205—21no—
65#17989204C2211yescharacteristic
66#17989202—21no—
67#17989173—21no—
68#17989170—21no—
69#17989160C2211yescharacteristic
70#17989154—21no—
71#17989154—21no—
72#17989154C2211yescharacteristic
73#17989154C2211yescharacteristic, complemented
74#17989153C2211yescharacteristic
75#17989098—21no—
76#17989098—21no—
77#17989098C2211yescharacteristic
78#17989098C2211yescharacteristic
79#17989098C2211yescharacteristic, complemented
80#17989065C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988970C2211yescharacteristic, complemented
84#17988968C2211yescharacteristic, complemented
85#17988945C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988925C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic
94#17988912C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988910C2211yescharacteristic, complemented
98#17988909C2211yescharacteristic, complemented
99#17988909C2211yescharacteristic, complemented
100#17988908C2211yescharacteristic
101#17988880C2211yescharacteristic, complemented
102#17988880C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988839C2211yescharacteristic, complemented
106#17988837C2211yescharacteristic, complemented
107#17988832C2211yescharacteristic, complemented
108#17988830C2211yescharacteristic, complemented
109#17988828C2211yescharacteristic, complemented
110#17988826C2211yescharacteristic, complemented
111#17988823C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988820C2211yescharacteristic, complemented
115#17988818C2211yescharacteristic, complemented
116#17988816C2211yescharacteristic, complemented
117#17988816C2211yescharacteristic, complemented
118#17988815C2211yescharacteristic, complemented
119#17988814C2211yescharacteristic, complemented
120#17988813C2211yescharacteristic, complemented
121#17988811C2211yescharacteristic, complemented
122#17988811C2211yescharacteristic, complemented
123#17988808C2211yescharacteristic, complemented
124#17988807C2211yescharacteristic, complemented
125#17988807C2211yescharacteristic, complemented
126#17988807C2211yescharacteristic, complemented
127#17988801C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic, complemented
129#17988786C2211yescharacteristic, complemented
130#17988785C2211yescharacteristic, complemented
131#17988781C2211yescharacteristic, complemented
132#17988780C2211yescharacteristic, complemented
133#17988752C2211yescharacteristic, complemented
134#17988751C2211yescharacteristic, complemented
135#17988751C2211yescharacteristic, complemented
136#17988749C2211yescharacteristic, complemented
137#17988749C2211yescharacteristic, complemented
138#17988749C2211yescharacteristic, complemented
139#17988748C2211yescharacteristic, complemented
140#17988747C2211yescharacteristic, complemented
141#17988744C2211yescharacteristic, complemented
142#17988743C2211yescharacteristic, complemented
143#17988741C2211yescharacteristic, complemented
144#17988738C2211yescharacteristic, complemented
145#17988735C2211yescharacteristic, complemented
146#17988734C2211yescharacteristic
147#17988734C2211yescharacteristic, complemented
148#17988732C2211yescharacteristic
149#17988732C2211yescharacteristic
150#17988732C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic, complemented
152#17988730C2211yescharacteristic
153#17988727C2211yescharacteristic, complemented
154#17988726C2211yescharacteristic
155#17988724C2211yescharacteristic, complemented
156#17988724C2211yescharacteristic, complemented
157#17988724C2211yescharacteristic, complemented
158#17988721C2211yescharacteristic
159#17988719C2211yescharacteristic, complemented
160#17988719C2211yescharacteristic, complemented
161#17988694C2211yescharacteristic, complemented
162#17988691C2211yescharacteristic, complemented
163#17988690C2211yescharacteristic, complemented
164#17988688C2211yescharacteristic, complemented
165Q16×Dic73C2211yescharacteristic, complemented
166#17988679C2211yescharacteristic, complemented
167SD16×Dic73C2211yescharacteristic, complemented
168#17988672C2211yescharacteristic, complemented
169#17988658C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic, complemented
171#17988655C2211yescharacteristic, complemented
172#17988655C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988645C2211yescharacteristic, complemented
178#17988645C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988594C2211yescharacteristic, complemented
181#17988583C2211yescharacteristic, complemented
182#17988583C2211yescharacteristic, complemented
183#17988582C2211yescharacteristic, complemented
184#17988582C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic
186#17988552C2211yescharacteristic
187C2×C22⋊#10596831C2211yescharacteristic, complemented
188C22×#41×C73C2211yescharacteristic, complemented
189C2×#135×C73C2211yescharacteristic
190C2×#135×C73C2211yescharacteristic
191#525×C73C2211yescharacteristic
192#452×C73C2211yescharacteristic, complemented
193#452×C73C2211yescharacteristic, complemented
194#451×C73C2211yescharacteristic, complemented
195#450×C73C2211yescharacteristic, complemented
196#449×C73C2211yescharacteristic
197#449×C73C2211yescharacteristic
198#448×C73C2211yescharacteristic
199#447×C73C2211yescharacteristic
200#416×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202C2×C22⋊C8×C73C2211yescharacteristic, complemented
203#14556639—42no—
204#14556639—42no—
205C2×#11924029—21no—
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×Q8×D73—21no—
214C2×Q8×D73C2311yescharacteristic
215C2×Q8×D73C2311yescharacteristic
216C2×Q8×D73C2311yescharacteristic
217C2×D4×D73C2311yescharacteristic
218#14556623—42no—
219#14556618—42no—
220#14556611—42no—
221#14556611—42no—
222C2×Dic292C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225C2×#11924018C2311yescharacteristic
226Q16×D73—42no—
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233C2×#11924015C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235SD16×D73—42no—
236C2×D584C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924011C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C22×#10596831C2311yescharacteristic
243C22×#10596831C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246#14556590—21no—
247#14556590C2311yescharacteristic
248#14556590C2311yescharacteristic
249#14556587—21no—
250#14556587—21no—
251#14556587—21no—
252#14556587—21no—
253#14556587—21no—
254#14556587—21no—
255#14556587C2311yescharacteristic
256#14556587C2311yescharacteristic
257#14556586—21no—
258#14556586—21no—
259#14556585—21no—
260#14556584—21no—
261#14556584—21no—
262#14556584—21no—
263#14556580C2311yescharacteristic
264#14556579—21no—
265#14556578—21no—
266#14556578—21no—
267#14556578—21no—
268#14556578—21no—
269#14556578—21no—
270#14556578—21no—
271#14556578—21no—
272#14556578—21no—
273#14556578C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556578C2311yescharacteristic
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556576—21no—
285#14556574—21no—
286#14556574—21no—
287#14556574—21no—
288#14556574D411yescharacteristic
289#14556574D411yescharacteristic
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556572—21no—
294#14556571—21no—
295#14556571C2311yescharacteristic
296#14556570—21no—
297#14556570—21no—
298#14556570—21no—
299#14556570—21no—
300#14556570—21no—
301#14556570D411yescharacteristic
302#14556570D411yescharacteristic
303#14556570C2311yescharacteristic
304#14556570C2311yescharacteristic
305#14556570C2311yescharacteristic
306#14556570C2311yescharacteristic
307#14556569—21no—
308#14556568—21no—
309#14556567C2311yescharacteristic
310#14556566C2311yescharacteristic
311#14556565—21no—
312#14556565—21no—
313#14556565—21no—
314#14556565—21no—
315#14556565D411yescharacteristic
316#14556565D411yescharacteristic
317#14556565C2311yescharacteristic
318#14556565C2311yescharacteristic
319#14556565C2311yescharacteristic
320#14556565C2311yescharacteristic
321#14556564—21no—
322#14556564—21no—
323#14556563—21no—
324#14556563—21no—
325#14556562—21no—
326#14556562—21no—
327#14556562—21no—
328#14556562—21no—
329#14556562—21no—
330#14556562—21no—
331#14556562—21no—
332#14556562—21no—
333#14556562—21no—
334#14556562—21no—
335#14556562—21no—
336#14556562—21no—
337#14556562C2311yescharacteristic
338#14556562C2311yescharacteristic
339#14556562C2311yescharacteristic
340#14556562C2311yescharacteristic
341#14556562C2311yescharacteristic
342#14556561—21no—
343#14556560—21no—
344#14556560—21no—
345#14556560—21no—
346#14556560—21no—
347#14556560—21no—
348#14556560—21no—
349#14556560D411yescharacteristic
350#14556560D411yescharacteristic
351#14556559—21no—
352#14556559—21no—
353#14556559—21no—
354Q8×Dic73—21no—
355Q8×Dic73—21no—
356Q8×Dic73C2311yescharacteristic
357Q8×Dic73C2311yescharacteristic
358Q8×Dic73C2311yescharacteristic
359Q8×Dic73C2311yescharacteristic
360Q8×Dic73C2311yescharacteristic
361C4×Dic146—21no—
362#14556556—21no—
363#14556556C2311yescharacteristic
364D4×Dic73C2311yescharacteristic
365#14556553—21no—
366#14556553C2311yescharacteristic
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73—21no—
375C4×C22⋊D73—21no—
376C4×C22⋊D73—21no—
377C4×C22⋊D73—21no—
378C4×C22⋊D73—21no—
379C4×C22⋊D73—21no—
380C4×C22⋊D73C2311yescharacteristic
381C4×C22⋊D73C2311yescharacteristic
382C4×C22⋊D73C2311yescharacteristic
383C4×C22⋊D73C2311yescharacteristic
384#14556550—21no—
385#14556550—21no—
386#14556550C2311yescharacteristic
387#14556550C2311yescharacteristic
388#14556550C2311yescharacteristic
389#14556549C2311yescharacteristic
390#14556549C2311yescharacteristic
391#14556548—21no—
392#14556547—21no—
393C2×#11924005—21no—
394C22⋊C4×D73—21no—
395#14556525C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556501C2311yescharacteristic
440#14556501C2311yescharacteristic
441C8×Dic73C2311yescharacteristic
442C8×Dic73C2311yescharacteristic
443C2×#41×C73—21no—
444C2×#41×C73—21no—
445C2×#41×C73—42no—
446C2×#41×C73—42no—
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C2×#41×C73C2311yescharacteristic
450C2×#41×C73C2311yescharacteristic
451C2×#41×C73C2311yescharacteristic
452C22×Q8×C73C2311yescharacteristic
453C22×D4×C73—21no—
454C22×D4×C73C2311yescharacteristic
455C23×C4×C73—21no—
456C23×C4×C73C2311yescharacteristic
457#135×C73—42no—
458#135×C73—42no—
459C2×Q16×C73C2311yescharacteristic
460C2×Q16×C73C2311yescharacteristic
461C2×SD16×C73C2311yescharacteristic
462C2×SD16×C73C2311yescharacteristic
463C2×SD16×C73C2311yescharacteristic
464C2×SD16×C73C2311yescharacteristic
465C2×D8×C73C2311yescharacteristic
466C2×D8×C73C2311yescharacteristic
467C22×C8×C73C2311yescharacteristic
468C22×C8×C73C2311yescharacteristic
469#123×C73—21no—
470C22⋊Q8×C73C2311yescharacteristic
471C22⋊Q8×C73C2311yescharacteristic
472#121×C73C2311yescharacteristic
473#121×C73C2311yescharacteristic
474#120×C73—21no—
475C4×D4×C73—21no—
476C4×D4×C73—21no—
477#117×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491#11924029—22no—
492#11924029—22no—
493#11924029—41no—
494#11924029—41no—
495#11924029—44no—
496#11924028—41no—
497#11924028—41no—
498#11924028—41no—
499#11924028—41no—
500#11924028—41no—
501#11924028—41no—
502#11924028—44no—
503#11924028—44no—
504C2×Dic146—21no—
505C2×Dic146—21no—
506C2×Dic146—21no—
507C2×Dic146—21no—
508C2×Dic146—21no—
509C2×Dic146C2×D411yescharacteristic
510C2×Dic146C2411yescharacteristic
511C2×Dic146C2411yescharacteristic
512Q8×D73—22no—
513Q8×D73—22no—
514Q8×D73—41no—
515Q8×D73—41no—
516Q8×D73—41no—
517Q8×D73—41no—
518Q8×D73—44no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292C2×D411yescharacteristic
523C2×D292C2411yescharacteristic
524C2×D292C2411yescharacteristic
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
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⋊D73C2×D411yescharacteristic
542C2×C22⋊D73C2×D411yescharacteristic
543C2×C22⋊D73C2×D411yescharacteristic
544C2×C22⋊D73C2×D411yescharacteristic
545C2×C22⋊D73C2×D411yescharacteristic
546C2×C22⋊D73C2×D411yescharacteristic
547D4×D73—41no—
548D4×D73—41no—
549C22×Dic73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73C2411yescharacteristic
559C2×C4×D73C2411yescharacteristic
560Dic292—41no—
561#11924018—22no—
562#11924018—22no—
563#11924018—41no—
564#11924017—41no—
565#11924017—41no—
566#11924016—41no—
567#11924016—41no—
568#11924016—41no—
569#11924015—22no—
570#11924015—22no—
571#11924015—41no—
572D584—41no—
573#11924013—41no—
574#11924013—41no—
575#11924013—41no—
576#11924011—41no—
577#11924011—41no—
578C2×#10596831—41no—
579C2×#10596831—41no—
580C2×#10596831C2411yescharacteristic
581C2×#10596831C2411yescharacteristic
582C2×#10596831C2411yescharacteristic
583C2×#10596831C2411yescharacteristic
584C8×D73—41no—
585C8×D73—41no—
586C4⋊Dic73—21no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73—21no—
590C4⋊Dic73—21no—
591C4⋊Dic73—21no—
592C4⋊Dic73C2×D411yescharacteristic
593C4⋊Dic73C2×D411yescharacteristic
594C4⋊Dic73C2411yescharacteristic
595C4⋊Dic73C2411yescharacteristic
596C4⋊Dic73C2411yescharacteristic
597C4⋊Dic73C2411yescharacteristic
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
609#11924007C2×D411yescharacteristic
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73—21no—
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73C2×D411yescharacteristic
629C22⋊Dic73C2×D411yescharacteristic
630C22⋊Dic73C2×D411yescharacteristic
631C22⋊Dic73C2×D411yescharacteristic
632C22⋊Dic73C2×D411yescharacteristic
633C22⋊Dic73C2×D411yescharacteristic
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005C2×D411yescharacteristic
647#11924005C2×D411yescharacteristic
648#11924005C2×D411yescharacteristic
649#11924005C2×D411yescharacteristic
650C4×Dic73—21no—
651C4×Dic73—21no—
652C4×Dic73—21no—
653C4×Dic73—21no—
654C4×Dic73—21no—
655C4×Dic73—21no—
656C4×Dic73—21no—
657C4×Dic73—21no—
658C4×Dic73—21no—
659C4×Dic73—21no—
660C4×Dic73C2411yescharacteristic
661C4×Dic73C2411yescharacteristic
662C24×C73—21no—
663C24×C73C2×D411yescharacteristic
664#41×C73—22no—
665#41×C73—22no—
666#41×C73—22no—
667#41×C73—22no—
668#41×C73—41no—
669#41×C73—41no—
670#41×C73—41no—
671#41×C73—41no—
672#41×C73—41no—
673#41×C73—41no—
674#41×C73—44no—
675#41×C73—44no—
676C2×Q8×C73—22no—
677C2×Q8×C73—22no—
678C2×Q8×C73—21no—
679C2×Q8×C73C2411yescharacteristic
680C2×Q8×C73C2411yescharacteristic
681C2×Q8×C73C2411yescharacteristic
682C2×D4×C73—21no—
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—41no—
691C2×D4×C73—41no—
692C2×D4×C73—44no—
693C2×D4×C73C2411yescharacteristic
694C2×D4×C73C2411yescharacteristic
695C2×D4×C73C2411yescharacteristic
696C22×C4×C73—21no—
697C22×C4×C73—21no—
698C22×C4×C73—21no—
699C22×C4×C73—21no—
700C22×C4×C73—21no—
701C22×C4×C73—21no—
702C22×C4×C73—41no—
703C22×C4×C73—41no—
704C22×C4×C73—44no—
705C22×C4×C73C2×D411yescharacteristic
706C22×C4×C73C2×D411yescharacteristic
707C22×C4×C73C2×D411yescharacteristic
708C22×C4×C73C2411yescharacteristic
709C22×C4×C73C2411yescharacteristic
710C22×C4×C73C2411yescharacteristic
711Q16×C73—22no—
712Q16×C73—22no—
713SD16×C73—22no—
714SD16×C73—22no—
715SD16×C73—41no—
716SD16×C73—41no—
717D8×C73—41no—
718D8×C73—41no—
719C2×C8×C73—41no—
720C2×C8×C73—41no—
721C2×C8×C73C2411yescharacteristic
722C2×C8×C73C2411yescharacteristic
723C2×C8×C73C2411yescharacteristic
724C2×C8×C73C2411yescharacteristic
725C4⋊C4×C73—21no—
726C4⋊C4×C73—21no—
727C4⋊C4×C73C2411yescharacteristic
728C4⋊C4×C73C2411yescharacteristic
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C42×C73—21no—
735C23×C73—21no—
736C23×C73—21no—
737C23×C73—21no—
738C23×C73—41no—
739C23×C73—41no—
740C23×C73—41no—
741C23×C73—42no—
742C23×C73—81no—
743C23×C73—81no—
744C23×C73C22×D411yescharacteristic
745C23×C73C22×D411yescharacteristic
746C23×C73C22×D411yescharacteristic
747C22×D73—21no—
748C22×D73—21no—
749C22×D73—81no—
750C22×D73—81no—
751C22×D73—81no—
752C22×D73C22×D411yescharacteristic
753C22×D73C22×D411yescharacteristic
754Q8×C73—24no—
755Q8×C73—21no—
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—21no—
759Q8×C73H(5,𝔽2)12yes—
760Q8×C73H(5,𝔽2)12yes—
761D4×C73—21no—
762D4×C73—21no—
763D4×C73—21no—
764D4×C73—21no—
765D4×C73—21no—
766D4×C73—21no—
767D4×C73—42no—
768D4×C73—42no—
769D4×C73—42no—
770D4×C73—42no—
771D4×C73—42no—
772D4×C73—81no—
773D4×C73—81no—
774D4×C73—81no—
775C2×C4×C73—24no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—41no—
788C2×C4×C73—41no—
789C2×C4×C73—41no—
790C2×C4×C73—42no—
791C2×C4×C73—42no—
792C2×C4×C73—42no—
793C2×C4×C73—42no—
794C2×C4×C73—81no—
795C2×C4×C73C22×D411yescharacteristic
796C2×C4×C73C22×D411yescharacteristic
797C2×C4×C73C22×D411yescharacteristic
798C2×C4×C73C2511yescharacteristic
799C22⋊D73—41no—
800C22⋊D73—41no—
801C22⋊D73—41no—
802C22⋊D73—41no—
803C22⋊D73—41no—
804C22⋊D73—41no—
805C22⋊D73—42no—
806C22⋊D73—81no—
807C22⋊D73—81no—
808C22⋊D73—81no—
809C22⋊D73—81no—
810C22⋊D73—81no—
811C22⋊D73—81no—
812C22⋊D73—81no—
813C22⋊D73—81no—
814C22⋊D73—81no—
815C22⋊D73—81no—
816C22⋊D73—81no—
817C22⋊D73—81no—
818C22⋊D73—81no—
819C22⋊D73—81no—
820C22⋊D73—81no—
821C2×Dic73—21no—
822C2×Dic73—21no—
823C2×Dic73—21no—
824C2×Dic73—21no—
825C2×Dic73—21no—
826C2×Dic73—21no—
827C2×Dic73—81no—
828C2×Dic73C22×D411yescharacteristic
829C2×Dic73C22×D411yescharacteristic
830C2×Dic73C22×D411yescharacteristic
831C2×Dic73C22×D411yescharacteristic
832C2×Dic73C22×D411yescharacteristic
833C2×Dic73C22×D411yescharacteristic
834D292—21no—
835D292—21no—
836D292—21no—
837D292—21no—
838D292—41no—
839D292—42no—
840D292—42no—
841D292—81no—
842C4×D73—21no—
843C4×D73—21no—
844C4×D73—21no—
845C4×D73—21no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—42no—
849C4×D73—42no—
850C4×D73—42no—
851C4×D73—81no—
852C4×D73—81no—
853C4×D73—81no—
854Dic146—21no—
855Dic146—21no—
856Dic146—21no—
857Dic146—21no—
858Dic146—41no—
859Dic146—42no—
860Dic146—42no—
861Dic146—81no—
862Dic146—81no—
863Dic146—81no—
864C8×C73—21no—
865C8×C73—21no—
866C8×C73—21no—
867C8×C73—21no—
868#10596831—21no—
869#10596831—21no—
870#10596831—21no—
871#10596831—21no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—21no—
877C22×C73—21no—
878C22×C73—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—82no—
891C22×C73—84no—
892C22×C73C23×D411yescharacteristic
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—41no—
905C2×D73—162no—
906C4×C73—22no—
907C4×C73—22no—
908C4×C73—21no—
909C4×C73—21no—
910C4×C73—21no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73—41no—
914C4×C73C2×H(5,𝔽2)11yescharacteristic
915C4×C73C2×H(5,𝔽2)11yescharacteristic
916Dic73—21no—
917Dic73—21no—
918Dic73—21no—
919Dic73—21no—
920Dic73—21no—
921Dic73—21no—
922Dic73—41no—
923Dic73—41no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928#61638—731nomaximal, Sylow
929C2×C73—41no—
930C2×C73—41no—
931C2×C73—41no—
932C2×C73—81no—
933C2×C73—81no—
934C2×C73—81no—
935C2×C73#348411yescharacteristic
936C2×C73#358411yescharacteristic
937C2×C73#358411yescharacteristic
938D73—41no—
939D73—41no—
940D73—81no—
941D73—81no—
942#3540—731no—
943#3487—731no—
944#3321—731no—
945#3321—731no—
946#3313—731no—
947#3313—731no—
948#3305—731no—
949#3305—731no—
950#3304—731no—
951#3304—731no—
952#3285—731no—
953#3285—731no—
954#3282—731no—
955#3282—731no—
956#3271—731no—
957#3271—731no—
958#3268—731no—
959#3268—731no—
960#3224—731no—
961#3224—731no—
962#3200—731no—
963#3199—731no—
964#3191—731no—
965#3191—731no—
966#3121—731no—
967#3121—731no—
968#3011—731no—
969#3010—731no—
970#3002—731no—
971#3002D7311yescharacteristic, complemented
972#2977—731no—
973C73#6163811yescharacteristic, complemented, Sylow
974C2×2−1+4—731no—
975C22×#41C2×D7311yescharacteristic, complemented
976C2×#137—731no—
977C2×AGL(1,ℤ/8)—731no—
978C2×#135—731no—
979C2×#135—731no—
980C2×#135C2×D7311yescharacteristic
981C2×#135C2×D7311yescharacteristic
982C22×Q16—731no—
983C22×SD16—731no—
984H(3,𝔽4)—1461no—
985#560—1461no—
986#559—1461no—
987#556—731no—
988#556—731no—
989#555—731no—
990#555—731no—
991#551—1461no—
992#550—731no—
993#550—731no—
994#550—731no—
995#550—731no—
996#550—1461no—
997#550—1461no—
998#548—731no—
999#548—731no—
1000#548—731no—
1001#548—731no—
1002#548—731no—
1003#548—731no—
1004#548—1461no—
1005#548—1461no—
1006#546—731no—
1007#546—731no—
1008#542—731no—
1009#542—731no—
1010#542—1461no—
1011#542—1461no—
1012#538—1461no—
1013#538—1461no—
1014#536—731no—
1015#535—731no—
1016#535—731no—
1017#535—731no—
1018#535—1461no—
1019#535—1461no—
1020#525—731no—
1021#525—731no—
1022#525—731no—
1023#525—1461no—
1024#525—1461no—
1025#525C2×D7311yescharacteristic
1026#519—731no—
1027#496—731no—
1028#496—731no—
1029#495—731no—
1030#495—731no—
1031#489—731no—
1032#489—731no—
1033#486—731no—
1034#486—731no—
1035#485—731no—
1036#485—731no—
1037#485—731no—
1038#485—731no—
1039#482—731no—
1040#482—731no—
1041#482—731no—
1042#482—731no—
1043#482—731no—
1044#482—731no—
1045#482—731no—
1046#482—731no—
1047#477—731no—
1048#477—731no—
1049#475—731no—
1050#475—731no—
1051#469—731no—
1052#469—731no—
1053#468—731no—
1054#468—731no—
1055#467—731no—
1056#467—731no—
1057#466—731no—
1058#466—731no—
1059#466—731no—
1060#466—731no—
1061#465—731no—
1062#465—731no—
1063#465—731no—
1064#465—731no—
1065#465—731no—
1066#465—731no—
1067#464—731no—
1068#464—731no—
1069#464—731no—
1070#464—731no—
1071#464—731no—
1072#464—731no—
1073#463—731no—
1074#463—731no—
1075#460—731no—
1076#460—731no—
1077#459—731no—
1078#459—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#452—731no—
1084#452—731no—
1085#452—731no—
1086#452—731no—
1087#452C2×D7311yescharacteristic, complemented
1088#452C2×D7311yescharacteristic, complemented
1089#451—731no—
1090#451—731no—
1091#451—731no—
1092#451C2×D7311yescharacteristic, complemented
1093#450—731no—
1094#450C2×D7311yescharacteristic, complemented
1095#449—731no—
1096#449—731no—
1097#449—731no—
1098#449—731no—
1099#449—731no—
1100#449—731no—
1101#449—731no—
1102#449—731no—
1103#449C2×D7311yescharacteristic
1104#449C2×D7311yescharacteristic
1105#448—731no—
1106#448—731no—
1107#448—731no—
1108#448—731no—
1109#448—731no—
1110#448C2×D7311yescharacteristic
1111#447—731no—
1112#447—731no—
1113#447—731no—
1114#447C2×D7311yescharacteristic
1115#441—731no—
1116#441—731no—
1117#440—731no—
1118#440—731no—
1119C4×Q16—731no—
1120C4×Q16—731no—
1121C4×SD16—731no—
1122C4×SD16—731no—
1123#435—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127C8×D4—731no—
1128C8×D4—731no—
1129C8×D4—731no—
1130C8×D4—731no—
1131#433—731no—
1132#433—731no—
1133#419—731no—
1134#419—731no—
1135#416—731no—
1136#416—731no—
1137#416—731no—
1138#416—731no—
1139#416C2×D7311yescharacteristic, complemented
1140#416C2×D7311yescharacteristic, complemented
1141#408—731no—
1142#408—731no—
1143C2×C22⋊C8—731no—
1144C2×C22⋊C8C2×D7311yescharacteristic, complemented
11452−1+4—2922no—
11462−1+4—2922no—
1147C2×#41—21no—
1148C2×#41—21no—
1149C2×#41—42no—
1150C2×#41—42no—
1151C2×#41—731no—
1152C2×#41—731no—
1153C2×#41—731no—
1154C2×#41—731no—
1155C2×#41—731no—
1156C2×#41—1461no—
1157C2×#41—1461no—
1158C2×#41—1461no—
1159C2×#41C22×D7311yescharacteristic
1160C2×#41C22×D7311yescharacteristic
1161C2×#41C22×D7311yescharacteristic
1162C2×#41C22×D7311yescharacteristic
1163C2×#41C22×D7311yescharacteristic
1164C22×Q8—731no—
1165C22×Q8—731no—
1166C22×Q8—731no—
1167C22×Q8—1461no—
1168C22×Q8C22×D7311yescharacteristic
1169C22×D4—21no—
1170C22×D4—731no—
1171C22×D4C22×D7311yescharacteristic
1172C23×C4—21no—
1173C23×C4C22×D7311yescharacteristic
1174#137—2922no—
1175AGL(1,ℤ/8)—2922no—
1176#135—42no—
1177#135—42no—
1178#135—2922no—
1179#135—2922no—
1180C2×Q16—2922no—
1181C2×Q16—731no—
1182C2×Q16—731no—
1183C2×Q16—731no—
1184C2×Q16—731no—
1185C2×Q16C22×D7311yescharacteristic
1186C2×Q16C22×D7311yescharacteristic
1187C2×SD16—2922no—
1188C2×SD16—731no—
1189C2×SD16—731no—
1190C2×SD16—731no—
1191C2×SD16—731no—
1192C2×SD16—731no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16C22×D7311yescharacteristic
1197C2×SD16C22×D7311yescharacteristic
1198C2×SD16C22×D7311yescharacteristic
1199C2×SD16C22×D7311yescharacteristic
1200C2×D8—731no—
1201C2×D8—731no—
1202C2×D8—731no—
1203C2×D8—731no—
1204C2×D8C22×D7311yescharacteristic
1205C2×D8C22×D7311yescharacteristic
1206C2×M16—731no—
1207C2×M16—731no—
1208C22×C8—731no—
1209C22×C8—731no—
1210C22×C8—731no—
1211C22×C8—731no—
1212C22×C8C22×D7311yescharacteristic
1213C22×C8C22×D7311yescharacteristic
1214C4⋊Q8—731no—
1215C4⋊Q8—731no—
1216C4⋊Q8—1461no—
1217#127—731no—
1218#127—731no—
1219#127—1461no—
1220#127—1461no—
1221#127—1461no—
1222#127—1461no—
1223#127—1461no—
1224#127—1461no—
1225#126—1461no—
1226#126—1461no—
1227#126—1461no—
1228#126—1461no—
1229#126—1461no—
1230#126—1461no—
1231#124—731no—
1232#124—731no—
1233#124—731no—
1234#124—731no—
1235#124—1461no—
1236#124—1461no—
1237#124—1461no—
1238#124—1461no—
1239#124—1461no—
1240#124—1461no—
1241#124—1461no—
1242#124—1461no—
1243#124—1461no—
1244#124—1461no—
1245#124—1461no—
1246#124—1461no—
1247#124—1461no—
1248#124—1461no—
1249#124—1461no—
1250#124—1461no—
1251#124—1461no—
1252#123—21no—
1253#123—731no—
1254#123—731no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263C22⋊Q8—731no—
1264C22⋊Q8—731no—
1265C22⋊Q8—731no—
1266C22⋊Q8—731no—
1267C22⋊Q8—731no—
1268C22⋊Q8—731no—
1269C22⋊Q8—731no—
1270C22⋊Q8—731no—
1271C22⋊Q8—1461no—
1272C22⋊Q8—1461no—
1273C22⋊Q8—1461no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8C22×D7311yescharacteristic
1280C22⋊Q8C22×D7311yescharacteristic
1281#121—731no—
1282#121—731no—
1283#121—731no—
1284#121—731no—
1285#121—731no—
1286#121—731no—
1287#121—731no—
1288#121—731no—
1289#121—731no—
1290#121—731no—
1291#121—731no—
1292#121—731no—
1293#121—1461no—
1294#121—1461no—
1295#121—1461no—
1296#121—1461no—
1297#121—1461no—
1298#121—1461no—
1299#121—1461no—
1300#121—1461no—
1301#121—1461no—
1302#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121C22×D7311yescharacteristic
1314#121C22×D7311yescharacteristic
1315#120—21no—
1316#120—731no—
1317#120—731no—
1318#120—1461no—
1319#120—1461no—
1320#120—1461no—
1321#120—1461no—
1322#120—1461no—
1323#120—1461no—
1324#120—1461no—
1325#120—1461no—
1326#120—1461no—
1327#120—1461no—
1328C4×Q8—731no—
1329C4×Q8—731no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×Q8—731no—
1334C4×Q8—1461no—
1335C4×Q8—1461no—
1336C4×Q8—1461no—
1337C4×Q8—1461no—
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—731no—
1341C4×D4—731no—
1342C4×D4—731no—
1343C4×D4—731no—
1344C4×D4—731no—
1345C4×D4—731no—
1346C4×D4—1461no—
1347C4×D4—1461no—
1348C4×D4—1461no—
1349C4×D4—1461no—
1350C4×D4—1461no—
1351C4×D4—1461no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360#117—731no—
1361#117—731no—
1362#117—731no—
1363#117—731no—
1364#117—731no—
1365#117—1461no—
1366#117—1461no—
1367#117—1461no—
1368#117—1461no—
1369#117C22×D7311yescharacteristic
1370C2×C22⋊C4—1461no—
1371C2×C22⋊C4—1461no—
1372#107—731no—
1373#107—731no—
1374#107—731no—
1375#107—731no—
1376#106—731no—
1377#106—731no—
1378#106—731no—
1379#106—731no—
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8—731no—
1383C4⋊C8—731no—
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103C22×D7311yescharacteristic
1397#103C22×D7311yescharacteristic
1398#103C22×D7311yescharacteristic
1399#103C22×D7311yescharacteristic
1400#102—731no—
1401#102—731no—
1402#102—731no—
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102C22×D7311yescharacteristic
1413#102C22×D7311yescharacteristic
1414#102C22×D7311yescharacteristic
1415#102C22×D7311yescharacteristic
1416C22⋊C8—731no—
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8—731no—
1424C22⋊C8C22×D7311yescharacteristic
1425C22⋊C8C22×D7311yescharacteristic
1426C22⋊C8C22×D7311yescharacteristic
1427C22⋊C8C22×D7311yescharacteristic
1428#97—731no—
1429#97—731no—
1430C4×C8—731no—
1431C4×C8—731no—
1432C24—21no—
1433C24—1461no—
1434C24D4×D7311yescharacteristic
1435#41—22no—
1436#41—22no—
1437#41—22no—
1438#41—22no—
1439#41—41no—
1440#41—41no—
1441#41—41no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—44no—
1446#41—44no—
1447#41—2924no—
1448#41—2924no—
1449#41—2921no—
1450#41—2921no—
1451#41—2921no—
1452#41—2921no—
1453#41—2921no—
1454#41—2921no—
1455#41—2924no—
1456#41—2921no—
1457#41—2921no—
1458#41—1462no—
1459#41—1462no—
1460C2×Q8—22no—
1461C2×Q8—22no—
1462C2×Q8—21no—
1463C2×Q8—2924no—
1464C2×Q8—2921no—
1465C2×Q8—2921no—
1466C2×Q8—2921no—
1467C2×Q8—2921no—
1468C2×Q8—731no—
1469C2×Q8—731no—
1470C2×Q8—731no—
1471C2×Q8—1461no—
1472C2×Q8—1461no—
1473C2×Q8—1461no—
1474C2×Q8—1461no—
1475C2×Q8—1461no—
1476C2×Q8—1462no—
1477C2×Q8—1462no—
1478C2×Q8C23×D7311yescharacteristic
1479C2×Q8C23×D7311yescharacteristic
1480C2×Q8C23×D7311yescharacteristic
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—41no—
1490C2×D4—41no—
1491C2×D4—44no—
1492C2×D4—2921no—
1493C2×D4—2921no—
1494C2×D4—731no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—731no—
1501C2×D4—731no—
1502C2×D4—731no—
1503C2×D4—1461no—
1504C2×D4—1461no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4C23×D7311yescharacteristic
1523C2×D4C23×D7311yescharacteristic
1524C2×D4C23×D7311yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—41no—
1532C22×C4—41no—
1533C22×C4—44no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—1461no—
1537C22×C4—1461no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4D4×D7311yescharacteristic
1546C22×C4D4×D7311yescharacteristic
1547C22×C4D4×D7311yescharacteristic
1548C22×C4C23×D7311yescharacteristic
1549C22×C4C23×D7311yescharacteristic
1550C22×C4C23×D7311yescharacteristic
1551Q16—22no—
1552Q16—22no—
1553Q16—2921no—
1554Q16—2921no—
1555Q16—1462no—
1556Q16—1462no—
1557SD16—22no—
1558SD16—22no—
1559SD16—41no—
1560SD16—41no—
1561SD16—2921no—
1562SD16—2921no—
1563SD16—2921no—
1564SD16—2921no—
1565SD16—2921no—
1566SD16—2921no—
1567SD16—1462no—
1568SD16—1462no—
1569D8—41no—
1570D8—41no—
1571D8—2921no—
1572D8—2921no—
1573D8—2921no—
1574D8—2921no—
1575M16—2921no—
1576M16—2921no—
1577C2×C8—41no—
1578C2×C8—41no—
1579C2×C8—2921no—
1580C2×C8—2921no—
1581C2×C8—2921no—
1582C2×C8—2921no—
1583C2×C8—731no—
1584C2×C8—731no—
1585C2×C8—731no—
1586C2×C8—731no—
1587C2×C8C23×D7311yescharacteristic
1588C2×C8C23×D7311yescharacteristic
1589C2×C8C23×D7311yescharacteristic
1590C2×C8C23×D7311yescharacteristic
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—731no—
1594C4⋊C4—731no—
1595C4⋊C4—731no—
1596C4⋊C4—731no—
1597C4⋊C4—731no—
1598C4⋊C4—731no—
1599C4⋊C4—731no—
1600C4⋊C4—731no—
1601C4⋊C4—731no—
1602C4⋊C4—731no—
1603C4⋊C4—1461no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4C23×D7311yescharacteristic
1618C4⋊C4C23×D7311yescharacteristic
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—731no—
1625C22⋊C4—731no—
1626C22⋊C4—731no—
1627C22⋊C4—731no—
1628C22⋊C4—731no—
1629C22⋊C4—731no—
1630C22⋊C4—731no—
1631C22⋊C4—731no—
1632C22⋊C4—731no—
1633C22⋊C4—731no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C22⋊C4—1461no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C42—21no—
1665C42—731no—
1666C42—731no—
1667C42—1461no—
1668C42—1461no—
1669C42—1461no—
1670C42—1461no—
1671C42—1461no—
1672C42—1461no—
1673C42—1461no—
1674C42—1461no—
1675C42—1461no—
1676C42—1461no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—41no—
1681C23—41no—
1682C23—41no—
1683C23—42no—
1684C23—81no—
1685C23—81no—
1686C23—5841no—
1687C23—5841no—
1688C23—5841no—
1689C23—731no—
1690C23—731no—
1691C23—1461no—
1692C23—1461no—
1693C23C2×D4×D7311yescharacteristic
1694C23C2×D4×D7311yescharacteristic
1695C23C2×D4×D7311yescharacteristic
1696Q8—24no—
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—2922no—
1702Q8—2922no—
1703Q8—2921no—
1704Q8—5841no—
1705Q8—5841no—
1706Q8—5841no—
1707Q8—1461no—
1708Q8—1461no—
1709Q8—1461no—
1710Q8—1461no—
1711Q8#1455663612yes—
1712Q8#1455663612yes—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—21no—
1717D4—21no—
1718D4—21no—
1719D4—42no—
1720D4—42no—
1721D4—42no—
1722D4—42no—
1723D4—42no—
1724D4—81no—
1725D4—81no—
1726D4—81no—
1727D4—2922no—
1728D4—2922no—
1729D4—2921no—
1730D4—2922no—
1731D4—2921no—
1732D4—2921no—
1733D4—2921no—
1734D4—2921no—
1735D4—2921no—
1736D4—2921no—
1737D4—5841no—
1738D4—5841no—
1739D4—5841no—
1740D4—5841no—
1741D4—5841no—
1742D4—5841no—
1743D4—5841no—
1744D4—5841no—
1745D4—5841no—
1746D4—5841no—
1747D4—5841no—
1748D4—5841no—
1749D4—5841no—
1750D4—5841no—
1751D4—5841no—
1752D4—5841no—
1753D4—1461no—
1754D4—1461no—
1755D4—1461no—
1756D4—1461no—
1757C2×C4—24no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—42no—
1773C2×C4—42no—
1774C2×C4—42no—
1775C2×C4—42no—
1776C2×C4—81no—
1777C2×C4—2922no—
1778C2×C4—2922no—
1779C2×C4—2922no—
1780C2×C4—2922no—
1781C2×C4—2922no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—5841no—
1785C2×C4—5841no—
1786C2×C4—731no—
1787C2×C4—731no—
1788C2×C4—731no—
1789C2×C4—731no—
1790C2×C4—731no—
1791C2×C4—731no—
1792C2×C4—1461no—
1793C2×C4—1461no—
1794C2×C4—1461no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1461no—
1802C2×C4C2×D4×D7311yescharacteristic
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C24×D7311yescharacteristic
1806C8—21no—
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—1461no—
1811C8—1461no—
1812C8—1461no—
1813C8—1461no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—82no—
1833C22—84no—
1834C22—2921no—
1835C22—2921no—
1836C22—2921no—
1837C22—2921no—
1838C22—2921no—
1839C22—2921no—
1840C22—11682no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22—1461no—
1845C22—1461no—
1846C22—1461no—
1847C22C22×D4×D7311yescharacteristic
1848C4—22no—
1849C4—22no—
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—2921no—
1857C4—2921no—
1858C4—2921no—
1859C4—2921no—
1860C4—2921no—
1861C4—2921no—
1862C4—1461no—
1863C4—1461no—
1864C4—1461no—
1865C4—1461no—
1866C4—1461no—
1867C4—1461no—
1868C4C2×#1455663611yescharacteristic
1869C4C2×#1455663611yescharacteristic
1870C2—41no—
1871C2—41no—
1872C2—41no—
1873C2—81no—
1874C2—81no—
1875C2—81no—
1876C2—2921no—
1877C2—2921no—
1878C2—5841no—
1879C2—5841no—
1880C2#2262356011yescharacteristic
1881C2#2262470011yescharacteristic
1882C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3002C2
socleC22×C73C23×D4
hypercenter#3002D73
hypocenterC73#61638
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3002

Complements

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

NH ≅ G/Ntype
1. #22624199C2semidirect
2. #22623589C2semidirect
3. #22622121C2semidirect
4. #22622113C2semidirect
5. #22622001C2semidirect
6. #22621993C2semidirect
7. #22621877C2semidirect
8. #22621874C2semidirect
9. #22621866C2semidirect
10. #22621863C2semidirect
11. #22621670C2semidirect
12. #22621666C2semidirect
13. #22621641C2semidirect
14. #22621632C2semidirect
15. #22621520C2semidirect
16. #22621516C2semidirect
17. #22621471C2semidirect
18. #22621464C2semidirect
19. #22621029C2semidirect
20. #22621021C2semidirect
21. #22620800C2semidirect
22. #22620794C2semidirect
23. #22620724C2semidirect
24. #22620719C2semidirect
25. #22620161C2semidirect
26. #22620153C2semidirect
27. #22619221C2semidirect
28. #22619212C2semidirect
29. #22619149C2semidirect
30. #22618985C2semidirect
31. C73×#3002C2semidirect
33. C2×#14556623C22semidirect
34. C2×#14556618C22semidirect
37. C2×Q16×D73C22semidirect
38. C2×SD16×D73C22semidirect
42. #17989308C22semidirect
43. #17989305C22semidirect
44. #17989301C22semidirect
45. #17989300C22semidirect
51. #17989256C22semidirect
52. #17989256C22semidirect
53. #17989247C22semidirect
58. #17989244C22semidirect
59. #17989244C22semidirect
60. #17989244C22semidirect
61. #17989234C22semidirect
62. #17989225C22semidirect
73. #17989154C22semidirect
79. #17989098C22semidirect
80. #17989065C22semidirect
81. #17988975C22semidirect
82. #17988973C22semidirect
83. #17988970C22semidirect
84. #17988968C22semidirect
85. #17988945C22semidirect
86. #17988945C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988929C22semidirect
90. #17988929C22semidirect
91. #17988928C22semidirect
92. #17988925C22semidirect
94. #17988912C22semidirect
95. #17988911C22semidirect
96. #17988910C22semidirect
97. #17988910C22semidirect
98. #17988909C22semidirect
99. #17988909C22semidirect
101. #17988880C22semidirect
102. #17988880C22semidirect
103. #17988870C22semidirect
104. #17988870C22semidirect
105. #17988839C22semidirect
106. #17988837C22semidirect
107. #17988832C22semidirect
108. #17988830C22semidirect
109. #17988828C22semidirect
110. #17988826C22semidirect
111. #17988823C22semidirect
112. #17988822C22semidirect
113. #17988821C22semidirect
114. #17988820C22semidirect
115. #17988818C22semidirect
116. #17988816C22semidirect
117. #17988816C22semidirect
118. #17988815C22semidirect
119. #17988814C22semidirect
120. #17988813C22semidirect
121. #17988811C22semidirect
122. #17988811C22semidirect
123. #17988808C22semidirect
124. #17988807C22semidirect
125. #17988807C22semidirect
126. #17988807C22semidirect
127. #17988801C22semidirect
128. #17988800C22semidirect
129. #17988786C22semidirect
130. #17988785C22semidirect
131. #17988781C22semidirect
132. #17988780C22semidirect
133. #17988752C22semidirect
134. #17988751C22semidirect
135. #17988751C22semidirect
136. #17988749C22semidirect
137. #17988749C22semidirect
138. #17988749C22semidirect
139. #17988748C22semidirect
140. #17988747C22semidirect
141. #17988744C22semidirect
142. #17988743C22semidirect
143. #17988741C22semidirect
144. #17988738C22semidirect
145. #17988735C22semidirect
147. #17988734C22semidirect
150. #17988732C22semidirect
151. #17988731C22semidirect
153. #17988727C22semidirect
155. #17988724C22semidirect
156. #17988724C22semidirect
157. #17988724C22semidirect
159. #17988719C22semidirect
160. #17988719C22semidirect
161. #17988694C22semidirect
162. #17988691C22semidirect
163. #17988690C22semidirect
164. #17988688C22semidirect
165. Q16×Dic73C22semidirect
166. #17988679C22semidirect
167. SD16×Dic73C22semidirect
168. #17988672C22semidirect
169. #17988658C22semidirect
170. #17988658C22semidirect
171. #17988655C22semidirect
172. #17988655C22semidirect
173. C8×C22⋊D73C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988650C22semidirect
177. #17988645C22semidirect
178. #17988645C22semidirect
179. #17988594C22semidirect
180. #17988594C22semidirect
181. #17988583C22semidirect
182. #17988583C22semidirect
183. #17988582C22semidirect
184. #17988582C22semidirect
187. C2×C22⋊#10596831C22semidirect
188. C22×#41×C73C22semidirect
192. #452×C73C22semidirect
193. #452×C73C22semidirect
194. #451×C73C22semidirect
195. #450×C73C22semidirect
200. #416×C73C22semidirect
201. #416×C73C22semidirect
202. C2×C22⋊C8×C73C22semidirect
971. #3002D73semidirect
973. C73#61638semidirect
975. C22×#41C2×D73semidirect
1087. #452C2×D73semidirect
1088. #452C2×D73semidirect
1092. #451C2×D73semidirect
1094. #450C2×D73semidirect
1139. #416C2×D73semidirect
1140. #416C2×D73semidirect
1144. C2×C22⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226241992
#226235892
#226221212
#226221132
#226220012
#226219932
#226218772
#226218742
#226218662
#226218632
#226216702
#226216662
#226216412
#226216322
#226215202
#226215162
#226214712
#226214642
#226210292
#226210212
#226208002
#226207942
#226207242
#226207192
#226201612
#226201532
#226192212
#226192122
#226191492
#226189852
C73×#30022
#6163873