Finite Group Databasebeta

← #33967946

Subgroups — #33967946

Order 18688.

1888 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623536C211yesmaximal, characteristic
2Q8×#11924027C211yesmaximal, characteristic, complemented
3#22622981C211yesmaximal, characteristic, complemented
4#22622842C211yesmaximal, characteristic, complemented
5#22622740C211yesmaximal, characteristic, complemented
6#22622707C211yesmaximal, characteristic, complemented
7#22622418C211yesmaximal, characteristic, complemented
8#22622411C211yesmaximal, characteristic, complemented
9#22622320C211yesmaximal, characteristic, complemented
10#22622102C211yesmaximal, characteristic, complemented
11#22622095C211yesmaximal, characteristic, complemented
12#22622012C211yesmaximal, characteristic, complemented
13#22622005C211yesmaximal, characteristic, complemented
14#22621800C211yesmaximal, characteristic, complemented
15#22621748C211yesmaximal, characteristic, complemented
16SD16×C22⋊D73C211yesmaximal, characteristic, complemented
17#22621435C211yesmaximal, characteristic, complemented
18#22620644C211yesmaximal, characteristic, complemented
19#22620637C211yesmaximal, characteristic, complemented
20#22620635C211yesmaximal, characteristic, complemented
21#22620103C211yesmaximal, characteristic, complemented
22#22620101C211yesmaximal, characteristic, complemented
23#22620086C211yesmaximal, characteristic, complemented
24#22620048C211yesmaximal, characteristic, complemented
25#22620029C211yesmaximal, characteristic, complemented
26#22620025C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#137×Dic73C211yesmaximal, characteristic, complemented
29C2×#17988688C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3266C211yesmaximal, characteristic, complemented
32C2×SD16×D73C2211yescharacteristic
33#17989319C2211yescharacteristic
34Q8×Dic146C2211yescharacteristic, complemented
35#17989312—21no—
36#17989312C2211yescharacteristic, complemented
37#17989296C2211yescharacteristic
38#17989295—21no—
39#17989295—21no—
40#17989295C2211yescharacteristic
41#17989295C2211yescharacteristic
42#17989295C2211yescharacteristic, complemented
43#17989294—21no—
44#17989294C2211yescharacteristic, complemented
45#17989284C2211yescharacteristic
46#17989283C2211yescharacteristic
47#17989280—21no—
48#17989263—21no—
49#17989260—21no—
50Q8×C22⋊D73C2211yescharacteristic
51Q8×C22⋊D73C2211yescharacteristic, complemented
52#17989225C2211yescharacteristic
53#17989224—21no—
54D4×C22⋊D73C2211yescharacteristic
55#17989142—21no—
56#17989142C2211yescharacteristic, complemented
57#17989139—21no—
58#17989139—21no—
59#17989139C2211yescharacteristic, complemented
60#17989139C2211yescharacteristic, complemented
61#17989132C2211yescharacteristic
62#17989123C2211yescharacteristic
63#17989116C2211yescharacteristic
64#17989114—21no—
65#17989097—21no—
66#17989093—21no—
67#41×Dic73C2211yescharacteristic
68C4×#11924027—21no—
69C4×#11924027C2211yescharacteristic
70C2×Q8×Dic73C2211yescharacteristic, complemented
71C2×Q8×Dic73C2211yescharacteristic, complemented
72C4×Q8×D73C2211yescharacteristic, complemented
73C2×D4×Dic73C2211yescharacteristic
74C2×#14556551—21no—
75C4×D4×D73C2211yescharacteristic
76#17988996C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988991C2211yescharacteristic, complemented
79#17988980C2211yescharacteristic, complemented
80#17988958C2211yescharacteristic
81#17988955C2211yescharacteristic, complemented
82#17988954C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988946C2211yescharacteristic, complemented
85#17988936C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic
87#17988929C2211yescharacteristic, complemented
88#17988925C2211yescharacteristic, complemented
89#17988923C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988920C2211yescharacteristic, complemented
94#17988920C2211yescharacteristic, complemented
95#17988906C2211yescharacteristic
96#17988904C2211yescharacteristic
97#17988901C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988895C2211yescharacteristic, complemented
100#17988894C2211yescharacteristic, complemented
101#17988892C2211yescharacteristic, complemented
102#17988892C2211yescharacteristic, complemented
103#17988880C2211yescharacteristic, complemented
104#17988880C2211yescharacteristic, complemented
105#17988880C2211yescharacteristic, complemented
106#17988875C2211yescharacteristic
107#17988868C2211yescharacteristic, complemented
108#17988867C2211yescharacteristic
109#17988865C2211yescharacteristic
110#17988865C2211yescharacteristic, complemented
111#17988835C2211yescharacteristic, complemented
112#17988833C2211yescharacteristic, complemented
113#17988831C2211yescharacteristic, complemented
114#17988826C2211yescharacteristic, complemented
115#17988825C2211yescharacteristic, complemented
116#17988825C2211yescharacteristic, complemented
117#17988818C2211yescharacteristic
118#17988816C2211yescharacteristic
119#17988813C2211yescharacteristic
120#17988813C2211yescharacteristic
121#17988811C2211yescharacteristic, complemented
122#17988811C2211yescharacteristic, complemented
123#17988806C2211yescharacteristic, complemented
124#17988795C2211yescharacteristic, complemented
125#17988790C2211yescharacteristic
126#17988790C2211yescharacteristic
127#17988790C2211yescharacteristic, complemented
128#17988789C2211yescharacteristic, complemented
129#17988785C2211yescharacteristic
130#17988785C2211yescharacteristic
131#17988749C2211yescharacteristic
132#17988741C2211yescharacteristic, complemented
133#17988738C2211yescharacteristic
134#17988736C2211yescharacteristic
135#17988736C2211yescharacteristic
136#17988726C2211yescharacteristic
137#17988726C2211yescharacteristic, complemented
138#17988724C2211yescharacteristic
139#17988716C2211yescharacteristic, complemented
140#17988715C2211yescharacteristic, complemented
141#17988694C2211yescharacteristic, complemented
142#17988694C2211yescharacteristic, complemented
143#17988694C2211yescharacteristic, complemented
144#17988691C2211yescharacteristic, complemented
145#17988690C2211yescharacteristic, complemented
146#17988690C2211yescharacteristic, complemented
147#17988690C2211yescharacteristic, complemented
148#17988689C2211yescharacteristic, complemented
149#17988688C2211yescharacteristic
150#17988688C2211yescharacteristic
151#17988688C2211yescharacteristic
152#17988688C2211yescharacteristic
153#17988688C2211yescharacteristic
154#17988688C2211yescharacteristic, complemented
155#17988688C2211yescharacteristic, complemented
156#17988688C2211yescharacteristic, complemented
157#17988688C2211yescharacteristic, complemented
158#17988688C2211yescharacteristic, complemented
159#17988687C2211yescharacteristic
160#17988686C2211yescharacteristic, complemented
161#17988685C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic
163#17988684C2211yescharacteristic, complemented
164Q16×Dic73C2211yescharacteristic, complemented
165Q16×Dic73C2211yescharacteristic, complemented
166SD16×Dic73C2211yescharacteristic
167SD16×Dic73C2211yescharacteristic
168#17988661C2211yescharacteristic, complemented
169#17988659C2211yescharacteristic, complemented
170#17988656C2211yescharacteristic, complemented
171C8×C22⋊D73C2211yescharacteristic
172#17988650C2211yescharacteristic
173#17988643C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988641C2211yescharacteristic, complemented
176#17988629C2211yescharacteristic, complemented
177C2×#14556525C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179#17988596C2211yescharacteristic, complemented
180#17988588C2211yescharacteristic
181C2×#14556515C2211yescharacteristic, complemented
182#103×D73C2211yescharacteristic, complemented
183C2×#14556512C2211yescharacteristic
184#102×D73C2211yescharacteristic
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188C2×#137×C73C2211yescharacteristic
189C22×SD16×C73C2211yescharacteristic
190D4×Q8×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic
192#497×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#467×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic
197#452×C73C2211yescharacteristic
198#451×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic
200#448×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic
202#435×C73C2211yescharacteristic, complemented
203C2×#11924027—21no—
204C2×#11924027D411yescharacteristic
205C2×Q8×D73C2311yescharacteristic
206C22×C22⋊D73—21no—
207C2×D4×D73C2311yescharacteristic
208C23×Dic73—21no—
209C22×C4×D73—21no—
210C2×#11924018C2311yescharacteristic
211C2×#11924017C2311yescharacteristic
212C2×#11924016C2311yescharacteristic
213C2×#11924016C2311yescharacteristic
214C2×#11924015C2311yescharacteristic
215C2×#11924015C2311yescharacteristic
216C2×#11924015C2311yescharacteristic
217SD16×D73—24no—
218C2×#11924012C2311yescharacteristic
219C22×#10596831C2311yescharacteristic
220C2×C8×D73C2311yescharacteristic
221C2×C8×D73C2311yescharacteristic
222#14556591—21no—
223#14556591C2311yescharacteristic
224#14556590—21no—
225#14556590—21no—
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556590C2311yescharacteristic
229#14556589—21no—
230#14556589—21no—
231#14556589C2311yescharacteristic
232#14556589C2311yescharacteristic
233#14556587C2311yescharacteristic
234#14556586—21no—
235#14556586—21no—
236#14556584—21no—
237#14556584—21no—
238#14556583C2311yescharacteristic
239#14556582—21no—
240#14556582—21no—
241#14556582—21no—
242#14556582C2311yescharacteristic
243#14556581—21no—
244#14556581—21no—
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556580C2311yescharacteristic
251#14556577—21no—
252#14556577—21no—
253#14556575—21no—
254#14556575—21no—
255#14556574—21no—
256#14556573—21no—
257#14556573—21no—
258#14556573—21no—
259#14556572—21no—
260#14556571—21no—
261#14556571—21no—
262#14556571—21no—
263#14556571—21no—
264#14556570—21no—
265#14556570—21no—
266#14556570—21no—
267#14556570C2311yescharacteristic
268#14556570C2311yescharacteristic
269#14556568—21no—
270#14556568—21no—
271#14556568—21no—
272#14556568—21no—
273#14556568—21no—
274#14556568—21no—
275#14556568—21no—
276#14556568—21no—
277#14556568—21no—
278#14556567—21no—
279#14556567—21no—
280#14556567C2311yescharacteristic
281#14556567C2311yescharacteristic
282#14556567C2311yescharacteristic
283#14556565C2311yescharacteristic
284#14556565C2311yescharacteristic
285#14556563—21no—
286#14556563—21no—
287#14556563—21no—
288#14556563—21no—
289#14556562—21no—
290#14556562C2311yescharacteristic
291#14556560—21no—
292#14556559—21no—
293#14556559—21no—
294Q8×Dic73—21no—
295Q8×Dic73—21no—
296Q8×Dic73—21no—
297Q8×Dic73—21no—
298Q8×Dic73C2311yescharacteristic
299Q8×Dic73C2311yescharacteristic
300Q8×Dic73C2311yescharacteristic
301Q8×Dic73C2311yescharacteristic
302Q8×Dic73C2311yescharacteristic
303Q8×Dic73C2311yescharacteristic
304Q8×Dic73C2311yescharacteristic
305Q8×Dic73C2311yescharacteristic
306Q8×Dic73C2311yescharacteristic
307C4×Dic146—21no—
308C4×Dic146—21no—
309C4×Dic146C2311yescharacteristic
310C4×Dic146C2311yescharacteristic
311#14556556—21no—
312#14556556—21no—
313#14556556—21no—
314#14556556—21no—
315#14556556—21no—
316#14556556D411yescharacteristic
317#14556556C2311yescharacteristic
318C4×D292C2311yescharacteristic
319D4×Dic73—21no—
320D4×Dic73—21no—
321D4×Dic73—21no—
322D4×Dic73—21no—
323D4×Dic73—21no—
324D4×Dic73D411yescharacteristic
325D4×Dic73C2311yescharacteristic
326D4×Dic73C2311yescharacteristic
327D4×Dic73C2311yescharacteristic
328D4×Dic73C2311yescharacteristic
329D4×Dic73C2311yescharacteristic
330#14556553C2311yescharacteristic
331C4×C22⋊D73—21no—
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73C2311yescharacteristic
335C4×C22⋊D73C2311yescharacteristic
336#14556551—21no—
337#14556551—21no—
338#14556551—21no—
339#14556551—21no—
340#14556551—21no—
341#14556551—21no—
342#14556551—21no—
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551D411yescharacteristic
347#14556551D411yescharacteristic
348#14556550—21no—
349#14556550C2311yescharacteristic
350#14556549—21no—
351#14556549—21no—
352#14556549D411yescharacteristic
353#14556547—21no—
354#14556547—21no—
355#14556547—21no—
356#14556547D411yescharacteristic
357#14556547D411yescharacteristic
358C2×C4⋊Dic73—21no—
359C2×C4⋊Dic73—21no—
360C2×C4⋊Dic73C2311yescharacteristic
361C2×C4⋊Dic73C2311yescharacteristic
362C2×C4⋊Dic73C2311yescharacteristic
363C2×#11924007—21no—
364C4⋊C4×D73—21no—
365C4⋊C4×D73C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C2×C22⋊Dic73—21no—
368C2×#11924005—21no—
369C22⋊C4×D73—21no—
370C2×C4×Dic73—21no—
371C2×C4×Dic73—21no—
372C2×C4×Dic73—21no—
373C2×C4×Dic73C2311yescharacteristic
374C2×C4×Dic73C2311yescharacteristic
375C42×D73—21no—
376C42×D73C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556525C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556525C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392C4⋊#10596831C2311yescharacteristic
393#14556520C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556516C2311yescharacteristic
398#14556516C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556502C2311yescharacteristic
428#14556501C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C2×#41×C73C2311yescharacteristic
437C22×Q8×C73C2311yescharacteristic
438C22×Q8×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440#137×C73—24no—
441C2×Q16×C73C2311yescharacteristic
442C2×Q16×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73—24no—
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×M16×C73C2311yescharacteristic
452C22×C8×C73C2311yescharacteristic
453C4⋊Q8×C73—21no—
454C4⋊Q8×C73C2311yescharacteristic
455#124×C73C2311yescharacteristic
456#123×C73—21no—
457C22⋊Q8×C73—21no—
458C22⋊Q8×C73—21no—
459C22⋊Q8×C73C2311yescharacteristic
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73C2311yescharacteristic
464#120×C73—21no—
465C4×Q8×C73C2311yescharacteristic
466C4×D4×C73—21no—
467C4×D4×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469C2×C22⋊C4×C73—21no—
470#107×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924027—24no—
483#11924027—82no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146C2×D411yescharacteristic
490C2×Dic146C2411yescharacteristic
491Q8×D73—22no—
492Q8×D73—41no—
493C2×D292C2411yescharacteristic
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—44no—
501C2×C22⋊D73C2×D411yescharacteristic
502C2×C22⋊D73C2×D411yescharacteristic
503D4×D73—22no—
504D4×D73—41no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—82no—
514C22×Dic73C2×D411yescharacteristic
515C22×Dic73C2×D411yescharacteristic
516C22×Dic73C2×D411yescharacteristic
517C22×Dic73C2×D411yescharacteristic
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—82no—
524C2×C4×D73C2×D411yescharacteristic
525C2×C4×D73C2×D411yescharacteristic
526C2×C4×D73C2411yescharacteristic
527#11924018—41no—
528#11924017—22no—
529#11924016—22no—
530#11924016—41no—
531#11924015—22no—
532#11924015—41no—
533#11924015—41no—
534#11924012—41no—
535C2×#10596831—41no—
536C2×#10596831C2411yescharacteristic
537C2×#10596831C2411yescharacteristic
538C2×#10596831C2411yescharacteristic
539C2×#10596831C2411yescharacteristic
540C8×D73—22no—
541C8×D73—41no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73C2×D411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73C2×D411yescharacteristic
596C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73C2×D411yescharacteristic
621C4×Dic73C2×D411yescharacteristic
622C4×Dic73C2×D411yescharacteristic
623C4×Dic73C2×D411yescharacteristic
624C4×Dic73C2×D411yescharacteristic
625C4×Dic73C2×D411yescharacteristic
626C4×Dic73C2411yescharacteristic
627C4×Dic73C2411yescharacteristic
628C4×Dic73C2411yescharacteristic
629C24×C73—21no—
630#41×C73—22no—
631#41×C73—41no—
632C2×Q8×C73—21no—
633C2×Q8×C73—21no—
634C2×Q8×C73—22no—
635C2×Q8×C73—22no—
636C2×Q8×C73—41no—
637C2×Q8×C73—41no—
638C2×Q8×C73C2411yescharacteristic
639C2×Q8×C73C2411yescharacteristic
640C2×Q8×C73C2411yescharacteristic
641C2×Q8×C73C2411yescharacteristic
642C2×D4×C73—22no—
643C2×D4×C73—21no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—41no—
647C2×D4×C73C2×D411yescharacteristic
648C2×D4×C73C2411yescharacteristic
649C2×D4×C73C2411yescharacteristic
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73C2411yescharacteristic
655C22×C4×C73C2411yescharacteristic
656Q16×C73—22no—
657Q16×C73—22no—
658Q16×C73—41no—
659SD16×C73—22no—
660SD16×C73—22no—
661SD16×C73—22no—
662SD16×C73—22no—
663SD16×C73—41no—
664SD16×C73#4114yescomplemented
665M16×C73—22no—
666C2×C8×C73—22no—
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C2×C8×C73C2411yescharacteristic
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73—21no—
677C4⋊C4×C73C2×D411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73C2×D411yescharacteristic
688C22⋊C4×C73C2×D411yescharacteristic
689C42×C73—21no—
690C42×C73C2411yescharacteristic
691C23×C73—21no—
692C23×C73—21no—
693C23×C73—42no—
694C23×C73—42no—
695C23×C73—81no—
696C23×C73C22×D411yescharacteristic
697C23×C73C22×D411yescharacteristic
698C22×D73—21no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—81no—
702C22×D73C22×D411yescharacteristic
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—21no—
709Q8×C73—21no—
710Q8×C73—42no—
711Q8×C73—42no—
712Q8×C73C2×#4112yes—
713D4×C73—22no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—42no—
718D4×C73—42no—
719D4×C73—81no—
720D4×C73C2×#4112yes—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—42no—
732C2×C4×C73—42no—
733C2×C4×C73—42no—
734C2×C4×C73—81no—
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C2511yescharacteristic
740C22⋊D73—22no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—81no—
746C22⋊D73—81no—
747C22⋊D73#13714yescomplemented
748C2×Dic73—22no—
749C2×Dic73—22no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—41no—
758C2×Dic73—41no—
759C2×Dic73—42no—
760C2×Dic73—42no—
761C2×Dic73—42no—
762C2×Dic73—81no—
763C2×Dic73—81no—
764C2×Dic73—81no—
765C2×Dic73—81no—
766C2×Dic73—81no—
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774D292—21no—
775D292—21no—
776C4×D73—22no—
777C4×D73—21no—
778C4×D73—21no—
779C4×D73—41no—
780C4×D73—42no—
781C4×D73—42no—
782C4×D73—81no—
783C4×D73—81no—
784C4×D73—81no—
785Dic146—22no—
786Dic146—21no—
787Dic146—21no—
788Dic146—42no—
789Dic146—81no—
790Dic146—81no—
791Dic146—81no—
792Dic146—81no—
793C8×C73—21no—
794C8×C73—21no—
795C8×C73—21no—
796C8×C73C2×#4112yes—
797#10596831—21no—
798#10596831—21no—
799#10596831—21no—
800#10596831—21no—
801C22×C73—21no—
802C22×C73—21no—
803C22×C73—21no—
804C22×C73—22no—
805C22×C73—21no—
806C22×C73—21no—
807C22×C73—41no—
808C22×C73—41no—
809C22×C73—41no—
810C22×C73—41no—
811C22×C73—41no—
812C22×C73—84no—
813C22×C73C2×#13712yes—
814C22×C73C23×D411yescharacteristic
815C2×D73—21no—
816C2×D73—21no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—41no—
820C2×D73—84no—
821C2×D73C2×#13712yes—
822C4×C73—21no—
823C4×C73—22no—
824C4×C73—21no—
825C4×C73—21no—
826C4×C73—21no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73—41no—
832C4×C73C22×#4111yescharacteristic
833C4×C73#58511yescharacteristic
834Dic73—21no—
835Dic73—21no—
836Dic73—21no—
837Dic73—21no—
838Dic73—21no—
839Dic73—21no—
840Dic73—41no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845Dic73—41no—
846Dic73—41no—
847Dic73C2×#13712yes—
848#61453—731nomaximal, Sylow
849C2×C73—22no—
850C2×C73—42no—
851C2×C73—41no—
852C2×C73—81no—
853C2×C73D4×#4111yescharacteristic
854C2×C73C22×#13711yescharacteristic
855C2×C73#358511yescharacteristic
856D73—22no—
857D73—81no—
858#3481—731no—
859Q8×#41—731no—
860#3400—731no—
861#3385—731no—
862#3375—731no—
863#3372—731no—
864#3346—731no—
865#3346—731no—
866#3338—731no—
867#3320—731no—
868#3320—731no—
869#3314—731no—
870#3314—731no—
871#3299—731no—
872#3295—731no—
873D4×SD16—731no—
874#3266—731no—
875#3266D7311yescharacteristic, complemented
876#3182—731no—
877#3181—731no—
878#3181—731no—
879#3117—731no—
880#3117—731no—
881#3116—731no—
882#3112—731no—
883#3110—731no—
884#3110—731no—
885#2970—731no—
886C4×#137—731no—
887C2×#440—731no—
888C2×#440—731no—
889C73#6145311yescharacteristic, complemented, Sylow
890C2×#137C2×D7311yescharacteristic
891C22×SD16—731no—
892C22×SD16C2×D7311yescharacteristic
893#559—731no—
894Q82—731no—
895#557—731no—
896#557—1461no—
897#554—731no—
898#554—731no—
899#554—731no—
900#554—731no—
901#554—731no—
902#554—1461no—
903#554—1461no—
904#554—1461no—
905#553—731no—
906#553—731no—
907#553—1461no—
908#551—1461no—
909#551—1461no—
910D4×Q8—731no—
911D4×Q8—731no—
912D4×Q8C2×D7311yescharacteristic, complemented
913#546—731no—
914#546—1461no—
915#546C2×D7311yescharacteristic
916D42—731no—
917#533—731no—
918#533—731no—
919#533—731no—
920#533—1461no—
921#533—1461no—
922#533—1461no—
923#532—731no—
924#529—731no—
925#529—731no—
926#529—1461no—
927#525—1461no—
928#525—1461no—
929C4×#41—731no—
930C4×#41—731no—
931C4×#41—1461no—
932C2×C4×Q8—731no—
933C2×C4×Q8—731no—
934C2×C4×Q8—731no—
935C2×C4×D4—731no—
936C2×C4×D4—731no—
937C2×C4×D4—1461no—
938#501—731no—
939#501—731no—
940#500—731no—
941#497—731no—
942#497C2×D7311yescharacteristic, complemented
943#492—731no—
944#491—731no—
945#491—731no—
946#489—731no—
947#489—731no—
948#487—731no—
949#486—731no—
950#485—731no—
951#485—731no—
952#484—731no—
953#484—731no—
954#484—731no—
955#484—731no—
956#484—731no—
957#484—731no—
958#481—731no—
959#481—731no—
960#480—731no—
961#480—731no—
962#479—731no—
963#479—731no—
964#479—731no—
965#479—731no—
966#477—731no—
967#477—731no—
968#477—731no—
969#476—731no—
970#474—731no—
971#474—731no—
972#474—731no—
973#474—731no—
974#468—731no—
975#468—731no—
976#468—731no—
977#468C2×D7311yescharacteristic, complemented
978#467—731no—
979#467—731no—
980#467—731no—
981#467C2×D7311yescharacteristic, complemented
982#465—731no—
983#465—731no—
984#465—731no—
985#465—731no—
986#464—731no—
987#464—731no—
988#464—731no—
989#464C2×D7311yescharacteristic, complemented
990#462—731no—
991#461—731no—
992#461—731no—
993#461—731no—
994#461—731no—
995#461C2×D7311yescharacteristic
996#460—731no—
997#460—731no—
998#452—731no—
999#452C2×D7311yescharacteristic
1000#451—731no—
1001#451C2×D7311yescharacteristic, complemented
1002#450—731no—
1003#450—731no—
1004#450—731no—
1005#450C2×D7311yescharacteristic
1006#448—731no—
1007#448—731no—
1008#448—731no—
1009#448C2×D7311yescharacteristic, complemented
1010#446—731no—
1011#446—731no—
1012#441—731no—
1013#441—731no—
1014#441—731no—
1015#441—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025#440—731no—
1026#440—731no—
1027#440—731no—
1028#440—731no—
1029#440—731no—
1030#440—731no—
1031#440—731no—
1032#440—731no—
1033#440—731no—
1034#440—731no—
1035#440C2×D7311yescharacteristic
1036C4×Q16—731no—
1037C4×Q16—731no—
1038C4×SD16—731no—
1039C4×SD16—731no—
1040#435—731no—
1041#435—731no—
1042#435—731no—
1043#435C2×D7311yescharacteristic, complemented
1044C8×D4—731no—
1045C8×D4—731no—
1046#432—731no—
1047#432—731no—
1048#432—731no—
1049#428—731no—
1050C2×#107—731no—
1051C2×#107—731no—
1052#419—731no—
1053#417—731no—
1054C2×#103—731no—
1055C2×#103—731no—
1056C2×#102—731no—
1057C2×#102—731no—
1058C4×M16—731no—
1059C2×#97—731no—
1060C2×#97—731no—
1061C2×#41—731no—
1062C2×#41—1461no—
1063C2×#41C22×D7311yescharacteristic
1064C22×Q8—731no—
1065C22×Q8C22×D7311yescharacteristic
1066C22×Q8C22×D7311yescharacteristic
1067C22×D4—731no—
1068C22×D4—1461no—
1069C22×D4C22×D7311yescharacteristic
1070C23×C4—1461no—
1071C23×C4—1461no—
1072#137—24no—
1073C2×Q16—731no—
1074C2×Q16C22×D7311yescharacteristic
1075C2×Q16C22×D7311yescharacteristic
1076C2×Q16C22×D7311yescharacteristic
1077C2×SD16—24no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—731no—
1082C2×SD16—731no—
1083C2×SD16—731no—
1084C2×SD16—1464no—
1085C2×SD16C22×D7311yescharacteristic
1086C2×SD16C22×D7311yescharacteristic
1087C2×SD16C22×D7311yescharacteristic
1088C2×SD16C22×D7311yescharacteristic
1089C2×SD16C22×D7311yescharacteristic
1090C2×SD16C22×D7311yescharacteristic
1091C2×M16—731no—
1092C2×M16C22×D7311yescharacteristic
1093C22×C8—731no—
1094C22×C8—731no—
1095C22×C8—731no—
1096C22×C8C22×D7311yescharacteristic
1097C4⋊Q8—21no—
1098C4⋊Q8—731no—
1099C4⋊Q8—731no—
1100C4⋊Q8—731no—
1101C4⋊Q8—731no—
1102C4⋊Q8—731no—
1103C4⋊Q8—731no—
1104C4⋊Q8—1461no—
1105C4⋊Q8—1461no—
1106C4⋊Q8—1461no—
1107C4⋊Q8—1461no—
1108C4⋊Q8—1461no—
1109C4⋊Q8C22×D7311yescharacteristic
1110#127—731no—
1111#126—1461no—
1112#126—1461no—
1113#126—1461no—
1114#126—1461no—
1115#125—731no—
1116#125—731no—
1117#125—1461no—
1118#125—1461no—
1119#125—1461no—
1120#125—1461no—
1121#125—1461no—
1122#125—1461no—
1123#125—1461no—
1124#125—1461no—
1125#125—1461no—
1126#125—1461no—
1127#124—731no—
1128#124—1461no—
1129#124—1461no—
1130#124C22×D7311yescharacteristic
1131#123—21no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136#123—1461no—
1137#123—1461no—
1138#123—1461no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—731no—
1144C22⋊Q8—731no—
1145C22⋊Q8—731no—
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⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8C22×D7311yescharacteristic
1165C22⋊Q8C22×D7311yescharacteristic
1166C22⋊Q8C22×D7311yescharacteristic
1167#121—21no—
1168#121—731no—
1169#121—731no—
1170#121—731no—
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—731no—
1187C4×Q8—731no—
1188C4×Q8—731no—
1189C4×Q8—731no—
1190C4×Q8—731no—
1191C4×Q8—731no—
1192C4×Q8—731no—
1193C4×Q8—731no—
1194C4×Q8—1461no—
1195C4×Q8—1461no—
1196C4×Q8—1461no—
1197C4×Q8—1461no—
1198C4×Q8—1461no—
1199C4×Q8—1461no—
1200C4×Q8—1461no—
1201C4×Q8—1461no—
1202C4×Q8—1461no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8C22×D7311yescharacteristic
1206C4×D4—21no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—1461no—
1220C4×D4—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4C22×D7311yescharacteristic
1238C4×D4C22×D7311yescharacteristic
1239#117—731no—
1240#117—731no—
1241#117—731no—
1242#117—731no—
1243#117—1461no—
1244#117—1461no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249C2×C4⋊C4—731no—
1250C2×C4⋊C4—731no—
1251C2×C4⋊C4—731no—
1252C2×C4⋊C4—731no—
1253C2×C4⋊C4—731no—
1254C2×C4⋊C4—1461no—
1255C2×C4⋊C4—1461no—
1256C2×C4⋊C4—1461no—
1257C2×C4⋊C4—1461no—
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—1461no—
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C42—731no—
1263C2×C42—731no—
1264C2×C42—731no—
1265C2×C42—1461no—
1266C2×C42—1461no—
1267C2×C42—1461no—
1268C2×C42—1461no—
1269#107—731no—
1270#107—731no—
1271#107—731no—
1272#107—731no—
1273#107—731no—
1274#107—731no—
1275#107—731no—
1276#107—731no—
1277#107—731no—
1278#107—731no—
1279#107—731no—
1280#107C22×D7311yescharacteristic
1281#106—731no—
1282#106—731no—
1283#106—731no—
1284#106—731no—
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8—731no—
1288C4⋊C8—731no—
1289C4⋊C8—731no—
1290C4⋊C8C22×D7311yescharacteristic
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103—731no—
1303#103—731no—
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103C22×D7311yescharacteristic
1308#103C22×D7311yescharacteristic
1309#103C22×D7311yescharacteristic
1310#103C22×D7311yescharacteristic
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102C22×D7311yescharacteristic
1322#102C22×D7311yescharacteristic
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8—731no—
1326C22⋊C8—731no—
1327C22⋊C8C22×D7311yescharacteristic
1328C22⋊C8C22×D7311yescharacteristic
1329#97—731no—
1330#97—731no—
1331#97—731no—
1332#97—731no—
1333#97—731no—
1334#97—731no—
1335#97—731no—
1336#97C22×D7311yescharacteristic
1337C4×C8—731no—
1338C4×C8—731no—
1339C24—21no—
1340C24—1461no—
1341#41—22no—
1342#41—41no—
1343#41—5842no—
1344#41—1464no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—22no—
1348C2×Q8—22no—
1349C2×Q8—41no—
1350C2×Q8—41no—
1351C2×Q8—2921no—
1352C2×Q8—731no—
1353C2×Q8—731no—
1354C2×Q8—1461no—
1355C2×Q8—1461no—
1356C2×Q8—1461no—
1357C2×Q8—1461no—
1358C2×Q8—1462no—
1359C2×Q8—1461no—
1360C2×Q8C23×D7311yescharacteristic
1361C2×Q8C23×D7311yescharacteristic
1362C2×Q8C23×D7311yescharacteristic
1363C2×Q8C23×D7311yescharacteristic
1364C2×D4—22no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—41no—
1369C2×D4—2924no—
1370C2×D4—2921no—
1371C2×D4—731no—
1372C2×D4—731no—
1373C2×D4—731no—
1374C2×D4—1461no—
1375C2×D4—1461no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4—1461no—
1379C2×D4—1462no—
1380C2×D4—1461no—
1381C2×D4D4×D7311yescharacteristic
1382C2×D4C23×D7311yescharacteristic
1383C2×D4C23×D7311yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—5842no—
1389C22×C4—5842no—
1390C22×C4—731no—
1391C22×C4—731no—
1392C22×C4—731no—
1393C22×C4—731no—
1394C22×C4—731no—
1395C22×C4—731no—
1396C22×C4—731no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4—1461no—
1404C22×C4—1461no—
1405C22×C4—1461no—
1406C22×C4—1461no—
1407C22×C4—1461no—
1408C22×C4—1461no—
1409C22×C4—1461no—
1410C22×C4C23×D7311yescharacteristic
1411C22×C4C23×D7311yescharacteristic
1412Q16—22no—
1413Q16—22no—
1414Q16—41no—
1415Q16—2921no—
1416SD16—22no—
1417SD16—22no—
1418SD16—22no—
1419SD16—22no—
1420SD16—41no—
1421SD16—2921no—
1422SD16—2921no—
1423SD16—2921no—
1424SD16—1462no—
1425SD16—1462no—
1426SD16—1462no—
1427SD16#1192402714yescomplemented
1428M16—22no—
1429M16—2921no—
1430C2×C8—22no—
1431C2×C8—2921no—
1432C2×C8—2921no—
1433C2×C8—731no—
1434C2×C8—731no—
1435C2×C8—731no—
1436C2×C8—731no—
1437C2×C8—1462no—
1438C2×C8C23×D7311yescharacteristic
1439C2×C8C23×D7311yescharacteristic
1440C2×C8C23×D7311yescharacteristic
1441C2×C8C23×D7311yescharacteristic
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—731no—
1449C4⋊C4—731no—
1450C4⋊C4—731no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
1453C4⋊C4—731no—
1454C4⋊C4—731no—
1455C4⋊C4—731no—
1456C4⋊C4—731no—
1457C4⋊C4—731no—
1458C4⋊C4—731no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4D4×D7311yescharacteristic
1493C4⋊C4C23×D7311yescharacteristic
1494C4⋊C4C23×D7311yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—731no—
1503C22⋊C4—731no—
1504C22⋊C4—731no—
1505C22⋊C4—731no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4D4×D7311yescharacteristic
1525C22⋊C4D4×D7311yescharacteristic
1526C42—21no—
1527C42—731no—
1528C42—731no—
1529C42—731no—
1530C42—731no—
1531C42—731no—
1532C42—731no—
1533C42—731no—
1534C42—731no—
1535C42—731no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42—1461no—
1542C42—1461no—
1543C42—1461no—
1544C42—1461no—
1545C42—1461no—
1546C42—1461no—
1547C42—1461no—
1548C42C23×D7311yescharacteristic
1549C23—21no—
1550C23—21no—
1551C23—42no—
1552C23—42no—
1553C23—81no—
1554C23—2922no—
1555C23—2922no—
1556C23—5841no—
1557C23—731no—
1558C23—1461no—
1559C23C2×D4×D7311yescharacteristic
1560C23C2×D4×D7311yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—21no—
1567Q8—21no—
1568Q8—42no—
1569Q8—42no—
1570Q8—2922no—
1571Q8—5841no—
1572Q8—5841no—
1573Q8—5841no—
1574Q8—5841no—
1575Q8—1462no—
1576Q8—1461no—
1577Q8—1461no—
1578Q8C2×#1192402712yes—
1579D4—22no—
1580D4—21no—
1581D4—21no—
1582D4—21no—
1583D4—42no—
1584D4—42no—
1585D4—81no—
1586D4—2922no—
1587D4—2922no—
1588D4—2922no—
1589D4—2922no—
1590D4—5841no—
1591D4—5841no—
1592D4—734no—
1593D4—1462no—
1594D4—1461no—
1595D4—1461no—
1596D4C2×#1192402712yes—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—81no—
1611C2×C4—2922no—
1612C2×C4—2921no—
1613C2×C4—2922no—
1614C2×C4—2922no—
1615C2×C4—2922no—
1616C2×C4—2922no—
1617C2×C4—2921no—
1618C2×C4—2921no—
1619C2×C4—5841no—
1620C2×C4—5841no—
1621C2×C4—5841no—
1622C2×C4—5841no—
1623C2×C4—5841no—
1624C2×C4—5841no—
1625C2×C4—5841no—
1626C2×C4—5841no—
1627C2×C4—731no—
1628C2×C4—731no—
1629C2×C4—731no—
1630C2×C4—731no—
1631C2×C4—731no—
1632C2×C4—731no—
1633C2×C4—731no—
1634C2×C4—1462no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4—1461no—
1639C2×C4—1461no—
1640C2×C4—1461no—
1641C2×C4—1461no—
1642C2×C4—1462no—
1643C2×C4—1462no—
1644C2×C4—1461no—
1645C2×C4—1461no—
1646C2×C4C2×D4×D7311yescharacteristic
1647C2×C4C2×D4×D7311yescharacteristic
1648C2×C4C2×D4×D7311yescharacteristic
1649C2×C4C2×D4×D7311yescharacteristic
1650C2×C4C24×D7311yescharacteristic
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—1461no—
1655C8—1461no—
1656C8—1461no—
1657C8—1461no—
1658C8C2×#1192402712yes—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—21no—
1663C22—22no—
1664C22—21no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—84no—
1671C22—2921no—
1672C22—2921no—
1673C22—2921no—
1674C22—5844no—
1675C22—732no—
1676C22—1461no—
1677C22—1461no—
1678C22#137×D7312yes—
1679C22C22×D4×D7311yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—22no—
1684C4—21no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—2921no—
1691C4—2921no—
1692C4—2921no—
1693C4—2921no—
1694C4—2921no—
1695C4—2921no—
1696C4—2921no—
1697C4—732no—
1698C4—1461no—
1699C4—1461no—
1700C4—1461no—
1701C4—1461no—
1702C4—1461no—
1703C4—1461no—
1704C4C22×#1192402711yescharacteristic
1705C4#1798942211yescharacteristic
1706C2—22no—
1707C2—41no—
1708C2—42no—
1709C2—81no—
1710C2—5841no—
1711C2—1462no—
1712C2D4×#1192402711yescharacteristic
1713C2C2×#137×D7311yescharacteristic
1714C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3266C2
socleC22×C73C23×D4
prime radical#22623536C2
hypercenter#3266D73
hypocenterC73#61453
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
2. Q8×#11924027C2semidirect
3. #22622981C2semidirect
4. #22622842C2semidirect
5. #22622740C2semidirect
6. #22622707C2semidirect
7. #22622418C2semidirect
8. #22622411C2semidirect
9. #22622320C2semidirect
10. #22622102C2semidirect
11. #22622095C2semidirect
12. #22622012C2semidirect
13. #22622005C2semidirect
14. #22621800C2semidirect
15. #22621748C2semidirect
16. SD16×C22⋊D73C2semidirect
17. #22621435C2semidirect
18. #22620644C2semidirect
19. #22620637C2semidirect
20. #22620635C2semidirect
21. #22620103C2semidirect
22. #22620101C2semidirect
23. #22620086C2semidirect
24. #22620048C2semidirect
25. #22620029C2semidirect
26. #22620025C2semidirect
27. #22618941C2semidirect
28. #137×Dic73C2semidirect
29. C2×#17988688C2semidirect
30. #440×D73C2semidirect
31. C73×#3266C2semidirect
34. Q8×Dic146C22semidirect
36. #17989312C22semidirect
42. #17989295C22semidirect
44. #17989294C22semidirect
51. Q8×C22⋊D73C22semidirect
56. #17989142C22semidirect
59. #17989139C22semidirect
60. #17989139C22semidirect
70. C2×Q8×Dic73C22semidirect
71. C2×Q8×Dic73C22semidirect
72. C4×Q8×D73C22semidirect
76. #17988996C22semidirect
77. #17988995C22semidirect
78. #17988991C22semidirect
79. #17988980C22semidirect
81. #17988955C22semidirect
82. #17988954C22semidirect
83. #17988948C22semidirect
84. #17988946C22semidirect
85. #17988936C22semidirect
87. #17988929C22semidirect
88. #17988925C22semidirect
89. #17988923C22semidirect
90. #17988921C22semidirect
91. #17988921C22semidirect
92. #17988921C22semidirect
93. #17988920C22semidirect
94. #17988920C22semidirect
97. #17988901C22semidirect
98. #17988898C22semidirect
99. #17988895C22semidirect
100. #17988894C22semidirect
101. #17988892C22semidirect
102. #17988892C22semidirect
103. #17988880C22semidirect
104. #17988880C22semidirect
105. #17988880C22semidirect
107. #17988868C22semidirect
110. #17988865C22semidirect
111. #17988835C22semidirect
112. #17988833C22semidirect
113. #17988831C22semidirect
114. #17988826C22semidirect
115. #17988825C22semidirect
116. #17988825C22semidirect
121. #17988811C22semidirect
122. #17988811C22semidirect
123. #17988806C22semidirect
124. #17988795C22semidirect
127. #17988790C22semidirect
128. #17988789C22semidirect
132. #17988741C22semidirect
137. #17988726C22semidirect
139. #17988716C22semidirect
140. #17988715C22semidirect
141. #17988694C22semidirect
142. #17988694C22semidirect
143. #17988694C22semidirect
144. #17988691C22semidirect
145. #17988690C22semidirect
146. #17988690C22semidirect
147. #17988690C22semidirect
148. #17988689C22semidirect
154. #17988688C22semidirect
155. #17988688C22semidirect
156. #17988688C22semidirect
157. #17988688C22semidirect
158. #17988688C22semidirect
160. #17988686C22semidirect
161. #17988685C22semidirect
163. #17988684C22semidirect
164. Q16×Dic73C22semidirect
165. Q16×Dic73C22semidirect
168. #17988661C22semidirect
169. #17988659C22semidirect
170. #17988656C22semidirect
173. #17988643C22semidirect
174. #17988641C22semidirect
175. #17988641C22semidirect
176. #17988629C22semidirect
177. C2×#14556525C22semidirect
178. #107×D73C22semidirect
179. #17988596C22semidirect
181. C2×#14556515C22semidirect
182. #103×D73C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
190. D4×Q8×C73C22semidirect
192. #497×C73C22semidirect
193. #468×C73C22semidirect
194. #467×C73C22semidirect
195. #464×C73C22semidirect
198. #451×C73C22semidirect
200. #448×C73C22semidirect
202. #435×C73C22semidirect
664. SD16×C73#41semidirect
747. C22⋊D73#137semidirect
875. #3266D73semidirect
889. C73#61453semidirect
912. D4×Q8C2×D73semidirect
942. #497C2×D73semidirect
977. #468C2×D73semidirect
981. #467C2×D73semidirect
989. #464C2×D73semidirect
1001. #451C2×D73semidirect
1009. #448C2×D73semidirect
1043. #435C2×D73semidirect
1427. SD16#11924027semidirect

Maximal subgroups

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

subgroupindex
#226235362
Q8×#119240272
#226229812
#226228422
#226227402
#226227072
#226224182
#226224112
#226223202
#226221022
#226220952
#226220122
#226220052
#226218002
#226217482
SD16×C22⋊D732
#226214352
#226206442
#226206372
#226206352
#226201032
#226201012
#226200862
#226200482
#226200292
#226200252
#226189412
#137×Dic732
C2×#179886882
#440×D732
C73×#32662
#6145373