Finite Group Databasebeta

← #33982715

Subgroups — #33982715

Order 18688.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624366C211yesmaximal, characteristic, complemented
2#22623872C211yesmaximal, characteristic, complemented
3#22622881C211yesmaximal, characteristic, complemented
4#22622834C211yesmaximal, characteristic, complemented
5#22622720C211yesmaximal, characteristic, complemented
6#22622703C211yesmaximal, characteristic, complemented
7#22622471C211yesmaximal, characteristic, complemented
8#22622405C211yesmaximal, characteristic, complemented
9#22622403C211yesmaximal, characteristic, complemented
10#22622392C211yesmaximal, characteristic, complemented
11#22622308C211yesmaximal, characteristic, complemented
12#22622282C211yesmaximal, characteristic, complemented
13#22622068C211yesmaximal, characteristic, complemented
14#22621971C211yesmaximal, characteristic, complemented
15#22621893C211yesmaximal, characteristic, complemented
16#22621781C211yesmaximal, characteristic, complemented
17#22621748C211yesmaximal, characteristic, complemented
18#22621399C211yesmaximal, characteristic, complemented
19#22621337C211yesmaximal, characteristic, complemented
20#22621284C211yesmaximal, characteristic, complemented
21#22621224C211yesmaximal, characteristic, complemented
22#22621180C211yesmaximal, characteristic, complemented
23#22621164C211yesmaximal, characteristic, complemented
24#22620201C211yesmaximal, characteristic, complemented
25#22620119C211yesmaximal, characteristic, complemented
26#22620070C211yesmaximal, characteristic, complemented
27#22619797C211yesmaximal, characteristic, complemented
28#22619755C211yesmaximal, characteristic, complemented
29C2×#17988875C211yesmaximal, characteristic, complemented
30#22619071C211yesmaximal, characteristic, complemented
31C73×#3314C211yesmaximal, characteristic, complemented
32#17989341—21no—
33#17989338—21no—
34#17989319C2211yescharacteristic
35#17989313C2211yescharacteristic, complemented
36#17989308C2211yescharacteristic, complemented
37#17989295C2211yescharacteristic
38#17989294C2211yescharacteristic
39#17989289—21no—
40#17989289C2211yescharacteristic
41#17989285C2211yescharacteristic
42#17989283C2211yescharacteristic, complemented
43#17989279C2211yescharacteristic
44#17989263—21no—
45#17989260—21no—
46#17989252C2211yescharacteristic, complemented
47#17989250—21no—
48#17989246—21no—
49#17989241C2211yescharacteristic
50#17989238C2211yescharacteristic, complemented
51#17989225C2211yescharacteristic
52#17989224—21no—
53D4×C22⋊D73C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989214C2211yescharacteristic, complemented
56#17989210C2211yescharacteristic, complemented
57#17989209C2211yescharacteristic, complemented
58#17989206C2211yescharacteristic
59#17989196—21no—
60#17989190C2211yescharacteristic
61#17989186—21no—
62#17989181—21no—
63#17989179—21no—
64#17989174—21no—
65#17989160—21no—
66C2×#14556590C2211yescharacteristic, complemented
67#17989123C2211yescharacteristic
68#17989123C2211yescharacteristic, complemented
69#17989117C2211yescharacteristic
70#17989093—21no—
71C2×#14556575—21no—
72#17989070C2211yescharacteristic
73#17989059C2211yescharacteristic
74C2×D4×Dic73C2211yescharacteristic
75#17988996C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988988C2211yescharacteristic, complemented
80#17988983C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic
82#17988948C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988941C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic
86#17988927C2211yescharacteristic, complemented
87#17988926C2211yescharacteristic, complemented
88#17988920C2211yescharacteristic, complemented
89#17988916C2211yescharacteristic, complemented
90#17988915C2211yescharacteristic, complemented
91#17988915C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic
95#17988908C2211yescharacteristic, complemented
96#17988906C2211yescharacteristic
97#17988906C2211yescharacteristic, complemented
98#17988905C2211yescharacteristic
99#17988905C2211yescharacteristic, complemented
100#17988904C2211yescharacteristic
101#17988901C2211yescharacteristic, complemented
102#17988896C2211yescharacteristic, complemented
103#17988896C2211yescharacteristic, complemented
104#17988896C2211yescharacteristic, complemented
105#17988892C2211yescharacteristic, complemented
106#17988890C2211yescharacteristic, complemented
107#17988890C2211yescharacteristic, complemented
108#17988890C2211yescharacteristic, complemented
109#17988888C2211yescharacteristic, complemented
110#17988887C2211yescharacteristic
111#17988885C2211yescharacteristic
112#17988885C2211yescharacteristic
113#17988885C2211yescharacteristic, complemented
114#17988878C2211yescharacteristic, complemented
115#17988875C2211yescharacteristic
116#17988875C2211yescharacteristic
117#17988875C2211yescharacteristic
118#17988875C2211yescharacteristic
119#17988875C2211yescharacteristic
120#17988875C2211yescharacteristic, complemented
121#17988875C2211yescharacteristic, complemented
122#17988875C2211yescharacteristic, complemented
123#17988875C2211yescharacteristic, complemented
124#17988874C2211yescharacteristic, complemented
125#17988872C2211yescharacteristic, complemented
126#17988870C2211yescharacteristic, complemented
127#17988870C2211yescharacteristic, complemented
128#17988870C2211yescharacteristic, complemented
129#17988866C2211yescharacteristic, complemented
130#17988866C2211yescharacteristic, complemented
131#17988842C2211yescharacteristic, complemented
132#17988840C2211yescharacteristic, complemented
133#17988839C2211yescharacteristic
134#17988823C2211yescharacteristic
135#17988821C2211yescharacteristic, complemented
136#17988819C2211yescharacteristic, complemented
137#17988818C2211yescharacteristic
138#17988818C2211yescharacteristic, complemented
139#17988818C2211yescharacteristic, complemented
140#17988813C2211yescharacteristic
141#17988811C2211yescharacteristic, complemented
142#17988811C2211yescharacteristic, complemented
143#17988805C2211yescharacteristic, complemented
144#17988805C2211yescharacteristic, complemented
145#17988804C2211yescharacteristic
146#17988804C2211yescharacteristic, complemented
147#17988799C2211yescharacteristic, complemented
148#17988785C2211yescharacteristic
149#17988781C2211yescharacteristic
150#17988736C2211yescharacteristic
151#17988732C2211yescharacteristic
152#17988722C2211yescharacteristic
153#17988721C2211yescharacteristic
154#17988715C2211yescharacteristic, complemented
155#17988714C2211yescharacteristic, complemented
156#17988700C2211yescharacteristic, complemented
157#17988696C2211yescharacteristic
158#17988696C2211yescharacteristic
159#17988696C2211yescharacteristic, complemented
160#17988694C2211yescharacteristic, complemented
161#17988688C2211yescharacteristic
162#17988688C2211yescharacteristic, complemented
163SD16×Dic73C2211yescharacteristic
164C4×#11924015C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic
167#17988658C2211yescharacteristic
168#17988656C2211yescharacteristic, complemented
169#17988655C2211yescharacteristic, complemented
170D4×#10596831C2211yescharacteristic, complemented
171#17988650C2211yescharacteristic
172#17988649C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988629C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177#17988624C2211yescharacteristic, complemented
178C2×#14556523C2211yescharacteristic, complemented
179C2×#14556522C2211yescharacteristic, complemented
180C2×#14556522C2211yescharacteristic, complemented
181#17988615C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183C2×#14556520C2211yescharacteristic, complemented
184#17988590C2211yescharacteristic
185#17988583C2211yescharacteristic
186C2×#14556512C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#554×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic
194#468×C73C2211yescharacteristic, complemented
195#467×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924028—21no—
204C2×#11924027—21no—
205C22×Dic146—21no—
206C2×Q8×D73—21no—
207C22×C22⋊D73—21no—
208C2×D4×D73C2311yescharacteristic
209C23×Dic73—21no—
210C2×#11924015C2311yescharacteristic
211C2×#11924015C2311yescharacteristic
212C2×D584C2311yescharacteristic
213C2×#11924013C2311yescharacteristic
214C2×#11924013C2311yescharacteristic
215C2×#11924011C2311yescharacteristic
216C22×#10596831C2311yescharacteristic
217C22×#10596831C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219#14556591C2311yescharacteristic
220#14556590—21no—
221#14556590—21no—
222#14556590—21no—
223#14556590—21no—
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556590C2311yescharacteristic
229#14556589—21no—
230#14556587C2311yescharacteristic
231#14556586—21no—
232#14556586—21no—
233#14556586—21no—
234#14556586—21no—
235#14556586—21no—
236#14556586—21no—
237#14556586—21no—
238#14556586D411yescharacteristic
239#14556585—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584D411yescharacteristic
244#14556583—21no—
245#14556583C2311yescharacteristic
246#14556582—21no—
247#14556582—21no—
248#14556582—21no—
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581—21no—
255#14556581D411yescharacteristic
256#14556580C2311yescharacteristic
257#14556580C2311yescharacteristic
258#14556579—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577D411yescharacteristic
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556575—21no—
268#14556575—21no—
269#14556575—21no—
270#14556575—21no—
271#14556575—21no—
272#14556575—21no—
273#14556575—21no—
274#14556575—21no—
275#14556575—21no—
276#14556575D411yescharacteristic
277#14556574—21no—
278#14556574—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556572D411yescharacteristic
284#14556571—21no—
285#14556571—21no—
286#14556571—21no—
287#14556570—21no—
288#14556570—21no—
289#14556570—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568D411yescharacteristic
300#14556567—21no—
301#14556567—21no—
302#14556567C2311yescharacteristic
303#14556567C2311yescharacteristic
304#14556566C2311yescharacteristic
305#14556565—21no—
306#14556565C2311yescharacteristic
307#14556565C2311yescharacteristic
308#14556565C2311yescharacteristic
309#14556565C2311yescharacteristic
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563D411yescharacteristic
316#14556562—21no—
317#14556562C2311yescharacteristic
318#14556560—21no—
319#14556559—21no—
320#14556559—21no—
321Q8×Dic73C2311yescharacteristic
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324Q8×Dic73C2311yescharacteristic
325C4×Dic146—21no—
326C4×Dic146C2311yescharacteristic
327#14556556—21no—
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73C2311yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556550—21no—
354#14556550C2311yescharacteristic
355#14556550C2311yescharacteristic
356#14556549—21no—
357#14556549—21no—
358#14556549C2311yescharacteristic
359#14556549C2311yescharacteristic
360#14556548C2311yescharacteristic
361#14556547—21no—
362C2×C4⋊Dic73—21no—
363C2×C4⋊Dic73—21no—
364C2×C4⋊Dic73C2311yescharacteristic
365C2×C4⋊Dic73C2311yescharacteristic
366C2×C4⋊Dic73C2311yescharacteristic
367C2×#11924007—21no—
368C4⋊C4×D73C2311yescharacteristic
369C2×C22⋊Dic73—21no—
370C2×#11924005—21no—
371C2×#11924005—21no—
372C22⋊C4×D73—21no—
373C2×C4×Dic73C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556523C2311yescharacteristic
380#14556523C2311yescharacteristic
381#14556523C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73C2311yescharacteristic
436C22×D4×C73C2311yescharacteristic
437C2×Q16×C73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×SD16×C73C2311yescharacteristic
440C2×M16×C73C2311yescharacteristic
441C22×C8×C73C2311yescharacteristic
442C4⋊Q8×C73C2311yescharacteristic
443#125×C73—21no—
444#124×C73C2311yescharacteristic
445#123×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450C22⋊Q8×C73C2311yescharacteristic
451#121×C73—21no—
452#121×C73C2311yescharacteristic
453#120×C73—21no—
454C4×Q8×C73C2311yescharacteristic
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C22⋊C4×C73—21no—
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#103×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478C23×D73—21no—
479#11924028—82no—
480#11924027—82no—
481C2×Dic146—21no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—82no—
488C2×Dic146C2×D411yescharacteristic
489Q8×D73—82no—
490C2×D292—21no—
491C2×D292C2411yescharacteristic
492C2×D292C2411yescharacteristic
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—82no—
502C2×C22⋊D73C2×D411yescharacteristic
503C2×C22⋊D73C2×D411yescharacteristic
504D4×D73—22no—
505D4×D73—41no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—82no—
515C22×Dic73C2×D411yescharacteristic
516C22×Dic73C2×D411yescharacteristic
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73C2411yescharacteristic
524#11924015—41no—
525#11924015—41no—
526D584—41no—
527#11924013—22no—
528#11924013—41no—
529#11924011—41no—
530C2×#10596831—41no—
531C2×#10596831—41no—
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C2×#10596831C2411yescharacteristic
535C2×#10596831C2411yescharacteristic
536C8×D73—41no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73C2×D411yescharacteristic
550C4⋊Dic73C2×D411yescharacteristic
551C4⋊Dic73C2×D411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007C2×D411yescharacteristic
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577#11924007C2×D411yescharacteristic
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73C2×D411yescharacteristic
586C22⋊Dic73C2×D411yescharacteristic
587C22⋊Dic73C2×D411yescharacteristic
588C22⋊Dic73C2×D411yescharacteristic
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005C2×D411yescharacteristic
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73C2×D411yescharacteristic
619C4×Dic73C2×D411yescharacteristic
620C4×Dic73C2411yescharacteristic
621C4×Dic73C2411yescharacteristic
622C4×Dic73C2411yescharacteristic
623C24×C73—21no—
624#41×C73—22no—
625#41×C73—41no—
626C2×Q8×C73—21no—
627C2×Q8×C73C2411yescharacteristic
628C2×Q8×C73C2411yescharacteristic
629C2×D4×C73—22no—
630C2×D4×C73—21no—
631C2×D4×C73—21no—
632C2×D4×C73—21no—
633C2×D4×C73—41no—
634C2×D4×C73C2×D411yescharacteristic
635C2×D4×C73C2411yescharacteristic
636C2×D4×C73C2411yescharacteristic
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639C22×C4×C73—21no—
640C22×C4×C73—21no—
641C22×C4×C73C2411yescharacteristic
642C22×C4×C73C2411yescharacteristic
643Q16×C73—41no—
644SD16×C73—22no—
645SD16×C73—41no—
646M16×C73—41no—
647C2×C8×C73—41no—
648C2×C8×C73C2411yescharacteristic
649C2×C8×C73C2411yescharacteristic
650C2×C8×C73C2411yescharacteristic
651C2×C8×C73C2411yescharacteristic
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73—21no—
656C4⋊C4×C73—21no—
657C4⋊C4×C73—21no—
658C4⋊C4×C73—21no—
659C4⋊C4×C73C2×D411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C4⋊C4×C73C2411yescharacteristic
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73—21no—
670C22⋊C4×C73—21no—
671C22⋊C4×C73C2×D411yescharacteristic
672C22⋊C4×C73C2×D411yescharacteristic
673C42×C73—21no—
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73—21no—
677C23×C73—42no—
678C23×C73—42no—
679C23×C73—81no—
680C23×C73C22×D411yescharacteristic
681C23×C73C22×D411yescharacteristic
682C22×D73—21no—
683C22×D73—21no—
684C22×D73—42no—
685C22×D73—81no—
686C22×D73—81no—
687C22×D73C22×D411yescharacteristic
688Q8×C73—21no—
689Q8×C73—21no—
690Q8×C73—21no—
691Q8×C73—21no—
692Q8×C73—81no—
693D4×C73—22no—
694D4×C73—21no—
695D4×C73—21no—
696D4×C73—21no—
697D4×C73—42no—
698D4×C73—42no—
699D4×C73—81no—
700D4×C732−1+412yes—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—42no—
712C2×C4×C73—81no—
713C2×C4×C73—81no—
714C2×C4×C73—81no—
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C22×D411yescharacteristic
717C2×C4×C73C22×D411yescharacteristic
718C2×C4×C73C22×D411yescharacteristic
719C2×C4×C73C2511yescharacteristic
720C22⋊D73—22no—
721C22⋊D73—41no—
722C22⋊D73—42no—
723C22⋊D73—42no—
724C22⋊D73—42no—
725C22⋊D73—81no—
726C22⋊D73—81no—
727C22⋊D73—81no—
728C22⋊D73—81no—
729C22⋊D73—81no—
730C2×Dic73—22no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—41no—
738C2×Dic73—42no—
739C2×Dic73—81no—
740C2×Dic73—81no—
741C2×Dic73—81no—
742C2×Dic73—81no—
743C2×Dic73—81no—
744C2×Dic73—81no—
745C2×Dic73—81no—
746C2×Dic73C22×D411yescharacteristic
747C2×Dic73C22×D411yescharacteristic
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753D292—21no—
754D292—21no—
755D292—21no—
756D292—21no—
757D292—81no—
758C4×D73—21no—
759C4×D73—21no—
760C4×D73—42no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73—81no—
764C4×D73—81no—
765C4×D73—81no—
766Dic146—41no—
767Dic146—42no—
768Dic146—42no—
769Dic146—81no—
770Dic146—81no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—22no—
785C22×C73—21no—
786C22×C73—21no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73—84no—
793C22×C73#57712yes—
794C22×C73C23×D411yescharacteristic
795C2×D73—21no—
796C2×D73—21no—
797C2×D73—21no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—41no—
803C2×D73—41no—
804C2×D73—162no—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73C2×2−1+411yescharacteristic
816C4×C73#58511yescharacteristic
817Dic73—21no—
818Dic73—21no—
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—21no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830#62156—731nomaximal, Sylow
831C2×C73—22no—
832C2×C73—42no—
833C2×C73—41no—
834C2×C73—81no—
835C2×C73#348911yescharacteristic
836C2×C73C2×#57711yescharacteristic
837C2×C73#358511yescharacteristic
838D73—41no—
839D73—81no—
840D73—81no—
841#3552—731no—
842#3513—731no—
843#3388—731no—
844#3384—731no—
845#3373—731no—
846#3371—731no—
847#3350—731no—
848#3345—731no—
849#3345—731no—
850#3344—731no—
851#3337—731no—
852#3335—731no—
853#3318—731no—
854#3314D7311yescharacteristic, complemented
855#3311—731no—
856#3306—731no—
857#3297—731no—
858#3295—731no—
859#3263—731no—
860#3257—731no—
861#3250—731no—
862#3244—731no—
863#3241—731no—
864#3239—731no—
865#3125—731no—
866#3118—731no—
867#3114—731no—
868#3084—731no—
869#3081—731no—
870C2×#476—731no—
871#2992—731no—
872C73#6215611yescharacteristic, complemented, Sylow
873#563—1461no—
874#563—1461no—
875#559—731no—
876#557—731no—
877#556—731no—
878#554—731no—
879#554—731no—
880#554C2×D7311yescharacteristic, complemented
881#553—731no—
882#553—731no—
883#553—731no—
884#553—1461no—
885#552—731no—
886#551—1461no—
887#551—1461no—
888D4×Q8—731no—
889D4×Q8—1461no—
890#548—1461no—
891#547—731no—
892#547—731no—
893#546—731no—
894#546—1461no—
895#546C2×D7311yescharacteristic
896D42—731no—
897#544—731no—
898#544—731no—
899#542—731no—
900#542—731no—
901#542—731no—
902#541—1461no—
903#540—731no—
904#539—1461no—
905#539—1461no—
906#539—1461no—
907#538—1461no—
908#536—1461no—
909C2×C4⋊Q8—731no—
910#529—731no—
911#529—731no—
912#529—731no—
913#525—1461no—
914C2×#123—1461no—
915#520—731no—
916#518—731no—
917C2×C4×D4—731no—
918#501—731no—
919#501—731no—
920#501—731no—
921#501—731no—
922#499—731no—
923#498—731no—
924#490—731no—
925#489—731no—
926#489—731no—
927#489C2×D7311yescharacteristic, complemented
928#488—731no—
929#486—731no—
930#485—731no—
931#485—731no—
932#484—731no—
933#484C2×D7311yescharacteristic, complemented
934#483—731no—
935#483—731no—
936#483—731no—
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#481—731no—
942#481—731no—
943#481—731no—
944#481—731no—
945#481—731no—
946#480—731no—
947#480C2×D7311yescharacteristic, complemented
948#479—731no—
949#479—731no—
950#479—731no—
951#479—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#476—731no—
964#476—731no—
965#476—731no—
966#476—731no—
967#476—731no—
968#476—731no—
969#476—731no—
970#476—731no—
971#475—731no—
972#475—731no—
973#475—731no—
974#475—731no—
975#474—731no—
976#474—731no—
977#474C2×D7311yescharacteristic
978#470—731no—
979#469—731no—
980#469—731no—
981#468C2×D7311yescharacteristic, complemented
982#467C2×D7311yescharacteristic, complemented
983#466—731no—
984#466—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465—731no—
990#464—731no—
991#464—731no—
992#464C2×D7311yescharacteristic, complemented
993#463—731no—
994#463—731no—
995#463—731no—
996#463—731no—
997#463—731no—
998#460—731no—
999#459—731no—
1000#452C2×D7311yescharacteristic
1001#450—731no—
1002#450C2×D7311yescharacteristic
1003#449—731no—
1004#447—731no—
1005#447—731no—
1006#446—731no—
1007#446—731no—
1008#442—731no—
1009#442—731no—
1010#442—731no—
1011#442—731no—
1012#441—731no—
1013#440—731no—
1014#440—731no—
1015#440C2×D7311yescharacteristic
1016C4×SD16—731no—
1017C4×SD16—731no—
1018C4×SD16—731no—
1019C4×D8—731no—
1020#435—731no—
1021#435—731no—
1022#435—731no—
1023#435C2×D7311yescharacteristic, complemented
1024C8×D4—731no—
1025C8×D4—731no—
1026#433—731no—
1027#433—731no—
1028#432—731no—
1029#428—731no—
1030#428—731no—
1031#427—731no—
1032C2×#106—731no—
1033C2×#106—731no—
1034C2×#106—731no—
1035#424—731no—
1036#424—731no—
1037C2×C4⋊C8—731no—
1038#418—731no—
1039#417C2×D7311yescharacteristic
1040#416—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102C2×D7311yescharacteristic
1044C2×#41—1461no—
1045C2×#41—1461no—
1046C2×#41C22×D7311yescharacteristic
1047C22×Q8—1461no—
1048C22×Q8—1461no—
1049C22×D4—731no—
1050C22×D4—1461no—
1051C22×D4C22×D7311yescharacteristic
1052C23×C4—1461no—
1053C2×Q16C22×D7311yescharacteristic
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16C22×D7311yescharacteristic
1057C2×SD16C22×D7311yescharacteristic
1058C2×D8—731no—
1059C2×D8—731no—
1060C2×D8—731no—
1061C2×M16—731no—
1062C2×M16C22×D7311yescharacteristic
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8C22×D7311yescharacteristic
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—731no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8—1461no—
1077C4⋊Q8—1461no—
1078C4⋊Q8C22×D7311yescharacteristic
1079#127—731no—
1080#126—731no—
1081#126—731no—
1082#126—1461no—
1083#126—1461no—
1084#126—1461no—
1085#126—1461no—
1086#126—1461no—
1087#126—1461no—
1088#126—1461no—
1089#126—1461no—
1090#126—1461no—
1091#126—1461no—
1092#126—1461no—
1093#125—21no—
1094#125—731no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—731no—
1099#125—731no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125—1461no—
1105#125—1461no—
1106#124—731no—
1107#124—731no—
1108#124—731no—
1109#124—1461no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#124—1461no—
1114#124C22×D7311yescharacteristic
1115#123—21no—
1116#123—731no—
1117#123—731no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8C22×D7311yescharacteristic
1159C22⋊Q8C22×D7311yescharacteristic
1160C22⋊Q8C22×D7311yescharacteristic
1161#121—21no—
1162#121—731no—
1163#121—731no—
1164#121—731no—
1165#121—731no—
1166#121—731no—
1167#121—731no—
1168#121—731no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121—1461no—
1176#121C22×D7311yescharacteristic
1177#120—21no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—1461no—
1187C4×Q8—1461no—
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—21no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4—1461no—
1215C4×D4C22×D7311yescharacteristic
1216C4×D4C22×D7311yescharacteristic
1217#117—731no—
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225#117—1461no—
1226C2×C4⋊C4—731no—
1227C2×C4⋊C4—731no—
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—1461no—
1231C2×C4⋊C4—1461no—
1232C2×C4⋊C4—1461no—
1233C2×C4⋊C4C22×D7311yescharacteristic
1234C2×C4⋊C4C22×D7311yescharacteristic
1235C2×C22⋊C4—21no—
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C42—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107C22×D7311yescharacteristic
1247#107C22×D7311yescharacteristic
1248#107C22×D7311yescharacteristic
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106—731no—
1262#106—731no—
1263#106—731no—
1264#106—731no—
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8—731no—
1274C4⋊C8C22×D7311yescharacteristic
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103C22×D7311yescharacteristic
1282#103C22×D7311yescharacteristic
1283#103C22×D7311yescharacteristic
1284#103C22×D7311yescharacteristic
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102—731no—
1298#102—731no—
1299#102—731no—
1300#102—731no—
1301#102C22×D7311yescharacteristic
1302#102C22×D7311yescharacteristic
1303#102C22×D7311yescharacteristic
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8C22×D7311yescharacteristic
1312C22⋊C8C22×D7311yescharacteristic
1313#97—731no—
1314#97—731no—
1315#97—731no—
1316#97C22×D7311yescharacteristic
1317C4×C8—731no—
1318C4×C8—731no—
1319C24—21no—
1320C24—1461no—
1321#41—22no—
1322#41—41no—
1323#41—5842no—
1324#41—5842no—
1325C2×Q8—21no—
1326C2×Q8—5842no—
1327C2×Q8—5842no—
1328C2×Q8—731no—
1329C2×Q8—1461no—
1330C2×Q8—1461no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8C23×D7311yescharacteristic
1336C2×Q8C23×D7311yescharacteristic
1337C2×D4—22no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—41no—
1342C2×D4—2921no—
1343C2×D4—5842no—
1344C2×D4—731no—
1345C2×D4—731no—
1346C2×D4—731no—
1347C2×D4—731no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1461no—
1354C2×D4—1462no—
1355C2×D4—1461no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4D4×D7311yescharacteristic
1359C2×D4C23×D7311yescharacteristic
1360C2×D4C23×D7311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—5842no—
1366C22×C4—731no—
1367C22×C4—731no—
1368C22×C4—731no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4C23×D7311yescharacteristic
1384C22×C4C23×D7311yescharacteristic
1385Q16—41no—
1386SD16—22no—
1387SD16—41no—
1388SD16—2921no—
1389SD16—2921no—
1390D8—2921no—
1391D8—2921no—
1392D8—1462no—
1393M16—41no—
1394M16—2921no—
1395C2×C8—41no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—2921no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—731no—
1415C4⋊C4—731no—
1416C4⋊C4—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—731no—
1427C4⋊C4—731no—
1428C4⋊C4—731no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4D4×D7311yescharacteristic
1456C4⋊C4C23×D7311yescharacteristic
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—731no—
1468C22⋊C4—731no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
1474C22⋊C4—731no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4D4×D7311yescharacteristic
1501C22⋊C4D4×D7311yescharacteristic
1502C42—21no—
1503C42—731no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—731no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42—1461no—
1515C42C23×D7311yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—42no—
1519C23—42no—
1520C23—81no—
1521C23—2922no—
1522C23—5841no—
1523C23—5841no—
1524C23—731no—
1525C23—1461no—
1526C23—1461no—
1527C23C2×D4×D7311yescharacteristic
1528C23C2×D4×D7311yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—81no—
1534Q8—2921no—
1535Q8—2922no—
1536Q8—2922no—
1537Q8—5841no—
1538Q8—5841no—
1539Q8—5841no—
1540Q8—5841no—
1541D4—22no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—42no—
1546D4—42no—
1547D4—81no—
1548D4—2922no—
1549D4—2922no—
1550D4—2922no—
1551D4—2921no—
1552D4—5841no—
1553D4—5841no—
1554D4—5841no—
1555D4—5841no—
1556D4—5841no—
1557D4—5841no—
1558D4—1462no—
1559D4—1461no—
1560D4—1461no—
1561D4—1461no—
1562D4—1461no—
1563D4#1455663812yes—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—42no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—2922no—
1579C2×C4—2922no—
1580C2×C4—2921no—
1581C2×C4—5841no—
1582C2×C4—5841no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—5841no—
1590C2×C4—5841no—
1591C2×C4—5841no—
1592C2×C4—5841no—
1593C2×C4—731no—
1594C2×C4—731no—
1595C2×C4—731no—
1596C2×C4—731no—
1597C2×C4—731no—
1598C2×C4—731no—
1599C2×C4—731no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1462no—
1607C2×C4—1461no—
1608C2×C4—1461no—
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C24×D7311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—22no—
1626C22—21no—
1627C22—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—84no—
1634C22—2921no—
1635C22—2921no—
1636C22—2921no—
1637C22—2921no—
1638C22—2921no—
1639C22—2921no—
1640C22—11682no—
1641C22—1461no—
1642C22—1461no—
1643C22—1461no—
1644C22#1798939612yes—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—2921no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—1461no—
1663C4—1461no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C4C2×#1455663811yescharacteristic
1670C4#1798942211yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—42no—
1674C2—81no—
1675C2—2921no—
1676C2—5841no—
1677C2—5841no—
1678C2#2262360211yescharacteristic
1679C2C2×#1798939611yescharacteristic
1680C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3314C2
socleC22×C73C23×D4
hypercenter#3314D73
hypocenterC73#62156
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #22624366C2semidirect
2. #22623872C2semidirect
3. #22622881C2semidirect
4. #22622834C2semidirect
5. #22622720C2semidirect
6. #22622703C2semidirect
7. #22622471C2semidirect
8. #22622405C2semidirect
9. #22622403C2semidirect
10. #22622392C2semidirect
11. #22622308C2semidirect
12. #22622282C2semidirect
13. #22622068C2semidirect
14. #22621971C2semidirect
15. #22621893C2semidirect
16. #22621781C2semidirect
17. #22621748C2semidirect
18. #22621399C2semidirect
19. #22621337C2semidirect
20. #22621284C2semidirect
21. #22621224C2semidirect
22. #22621180C2semidirect
23. #22621164C2semidirect
24. #22620201C2semidirect
25. #22620119C2semidirect
26. #22620070C2semidirect
27. #22619797C2semidirect
28. #22619755C2semidirect
29. C2×#17988875C2semidirect
30. #22619071C2semidirect
31. C73×#3314C2semidirect
35. #17989313C22semidirect
36. #17989308C22semidirect
42. #17989283C22semidirect
46. #17989252C22semidirect
50. #17989238C22semidirect
54. #17989218C22semidirect
55. #17989214C22semidirect
56. #17989210C22semidirect
57. #17989209C22semidirect
66. C2×#14556590C22semidirect
68. #17989123C22semidirect
75. #17988996C22semidirect
76. #17988995C22semidirect
77. #17988995C22semidirect
78. #17988995C22semidirect
79. #17988988C22semidirect
80. #17988983C22semidirect
82. #17988948C22semidirect
83. #17988948C22semidirect
84. #17988941C22semidirect
86. #17988927C22semidirect
87. #17988926C22semidirect
88. #17988920C22semidirect
89. #17988916C22semidirect
90. #17988915C22semidirect
91. #17988915C22semidirect
92. #17988914C22semidirect
93. #17988912C22semidirect
95. #17988908C22semidirect
97. #17988906C22semidirect
99. #17988905C22semidirect
101. #17988901C22semidirect
102. #17988896C22semidirect
103. #17988896C22semidirect
104. #17988896C22semidirect
105. #17988892C22semidirect
106. #17988890C22semidirect
107. #17988890C22semidirect
108. #17988890C22semidirect
109. #17988888C22semidirect
113. #17988885C22semidirect
114. #17988878C22semidirect
120. #17988875C22semidirect
121. #17988875C22semidirect
122. #17988875C22semidirect
123. #17988875C22semidirect
124. #17988874C22semidirect
125. #17988872C22semidirect
126. #17988870C22semidirect
127. #17988870C22semidirect
128. #17988870C22semidirect
129. #17988866C22semidirect
130. #17988866C22semidirect
131. #17988842C22semidirect
132. #17988840C22semidirect
135. #17988821C22semidirect
136. #17988819C22semidirect
138. #17988818C22semidirect
139. #17988818C22semidirect
141. #17988811C22semidirect
142. #17988811C22semidirect
143. #17988805C22semidirect
144. #17988805C22semidirect
146. #17988804C22semidirect
147. #17988799C22semidirect
154. #17988715C22semidirect
155. #17988714C22semidirect
156. #17988700C22semidirect
159. #17988696C22semidirect
160. #17988694C22semidirect
162. #17988688C22semidirect
164. C4×#11924015C22semidirect
165. #17988672C22semidirect
168. #17988656C22semidirect
169. #17988655C22semidirect
170. D4×#10596831C22semidirect
172. #17988649C22semidirect
173. #17988645C22semidirect
174. #17988641C22semidirect
175. #17988629C22semidirect
176. #17988628C22semidirect
177. #17988624C22semidirect
178. C2×#14556523C22semidirect
179. C2×#14556522C22semidirect
180. C2×#14556522C22semidirect
181. #17988615C22semidirect
182. #17988612C22semidirect
183. C2×#14556520C22semidirect
188. #554×C73C22semidirect
190. #489×C73C22semidirect
191. #484×C73C22semidirect
192. #480×C73C22semidirect
194. #468×C73C22semidirect
195. #467×C73C22semidirect
196. #464×C73C22semidirect
200. #435×C73C22semidirect
854. #3314D73semidirect
872. C73#62156semidirect
880. #554C2×D73semidirect
927. #489C2×D73semidirect
933. #484C2×D73semidirect
947. #480C2×D73semidirect
981. #468C2×D73semidirect
982. #467C2×D73semidirect
992. #464C2×D73semidirect
1023. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243662
#226238722
#226228812
#226228342
#226227202
#226227032
#226224712
#226224052
#226224032
#226223922
#226223082
#226222822
#226220682
#226219712
#226218932
#226217812
#226217482
#226213992
#226213372
#226212842
#226212242
#226211802
#226211642
#226202012
#226201192
#226200702
#226197972
#226197552
C2×#179888752
#226190712
C73×#33142
#6215673