Finite Group Databasebeta

← #33978733

Subgroups — #33978733

Order 18688.

1894 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623742C211yesmaximal, characteristic, complemented
2#22623536C211yesmaximal, characteristic
3#22622987C211yesmaximal, characteristic, complemented
4#22622981C211yesmaximal, characteristic, complemented
5#22622713C211yesmaximal, characteristic, complemented
6#22622707C211yesmaximal, characteristic, complemented
7#22622104C211yesmaximal, characteristic, complemented
8#22622102C211yesmaximal, characteristic, complemented
9#22622097C211yesmaximal, characteristic, complemented
10#22622095C211yesmaximal, characteristic, complemented
11#22621802C211yesmaximal, characteristic, complemented
12#22621800C211yesmaximal, characteristic, complemented
13#22621625C211yesmaximal, characteristic, complemented
14SD16×C22⋊D73C211yesmaximal, characteristic, complemented
15#22621439C211yesmaximal, characteristic, complemented
16#22621437C211yesmaximal, characteristic, complemented
17#22621435C211yesmaximal, characteristic, complemented
18#22621313C211yesmaximal, characteristic, complemented
19#22621265C211yesmaximal, characteristic, complemented
20#22621263C211yesmaximal, characteristic, complemented
21#22620961C211yesmaximal, characteristic, complemented
22#22620954C211yesmaximal, characteristic, complemented
23#22620854C211yesmaximal, characteristic, complemented
24#22620028C211yesmaximal, characteristic, complemented
25#22620025C211yesmaximal, characteristic, complemented
26#22619995C211yesmaximal, characteristic, complemented
27#22619416C211yesmaximal, characteristic, complemented
28C2×#17988790C211yesmaximal, characteristic, complemented
29#461×D73C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3266C211yesmaximal, characteristic, complemented
32C2×#14556621C2211yescharacteristic
33C22×#11924016C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35C2×SD16×D73C2211yescharacteristic
36#17989319C2211yescharacteristic
37#17989317—21no—
38#17989315C2211yescharacteristic, complemented
39#17989312C2211yescharacteristic, complemented
40#17989296—21no—
41#17989296C2211yescharacteristic
42#17989295C2211yescharacteristic
43#17989291—21no—
44#17989291—21no—
45#17989284C2211yescharacteristic
46#17989283C2211yescharacteristic
47#17989280—21no—
48#17989263—21no—
49#17989260—21no—
50D4×Dic146C2211yescharacteristic, complemented
51Q8×C22⋊D73C2211yescharacteristic
52Q8×C22⋊D73C2211yescharacteristic, complemented
53#17989250C2211yescharacteristic
54#17989250C2211yescharacteristic, complemented
55#17989225C2211yescharacteristic
56#17989224—21no—
57D4×C22⋊D73C2211yescharacteristic
58#17989216—21no—
59#17989216—21no—
60#17989214—21no—
61#17989141C2211yescharacteristic, complemented
62#17989139C2211yescharacteristic, complemented
63#17989139C2211yescharacteristic, complemented
64#17989132C2211yescharacteristic
65C2×#14556589C2211yescharacteristic, complemented
66C2×#14556589C2211yescharacteristic, complemented
67C4⋊Q8×D73C2211yescharacteristic, complemented
68#17989123C2211yescharacteristic
69#17989116C2211yescharacteristic
70#17989114—21no—
71#17989097—21no—
72#17989093—21no—
73#17989066—21no—
74#41×Dic73C2211yescharacteristic
75C4×#11924027C2211yescharacteristic
76C2×D4×Dic73C2211yescharacteristic
77C2×#14556551—21no—
78C4×D4×D73C2211yescharacteristic
79#17988982C2211yescharacteristic, complemented
80#17988980C2211yescharacteristic, complemented
81#17988980C2211yescharacteristic, complemented
82#17988958C2211yescharacteristic
83#17988958C2211yescharacteristic
84#17988956C2211yescharacteristic, complemented
85#17988955C2211yescharacteristic, complemented
86#17988954C2211yescharacteristic, complemented
87#17988954C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988936C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic, complemented
91#17988925C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988923C2211yescharacteristic, complemented
94#17988921C2211yescharacteristic, complemented
95#17988920C2211yescharacteristic, complemented
96#17988895C2211yescharacteristic, complemented
97#17988894C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988892C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988880C2211yescharacteristic, complemented
102#17988870C2211yescharacteristic, complemented
103#17988866C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic
105#17988865C2211yescharacteristic, complemented
106#17988835C2211yescharacteristic, complemented
107#17988833C2211yescharacteristic, complemented
108#17988831C2211yescharacteristic, complemented
109#17988827C2211yescharacteristic, complemented
110#17988826C2211yescharacteristic, complemented
111#17988825C2211yescharacteristic, complemented
112#17988818C2211yescharacteristic
113#17988816C2211yescharacteristic
114#17988815C2211yescharacteristic
115#17988813C2211yescharacteristic
116#17988812C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988806C2211yescharacteristic, complemented
119#17988795C2211yescharacteristic, complemented
120#17988795C2211yescharacteristic, complemented
121#17988795C2211yescharacteristic, complemented
122#17988795C2211yescharacteristic, complemented
123#17988795C2211yescharacteristic, complemented
124#17988793C2211yescharacteristic, complemented
125#17988792C2211yescharacteristic
126#17988791C2211yescharacteristic, complemented
127#17988791C2211yescharacteristic, complemented
128#17988791C2211yescharacteristic, complemented
129#17988790C2211yescharacteristic
130#17988790C2211yescharacteristic
131#17988790C2211yescharacteristic
132#17988790C2211yescharacteristic
133#17988790C2211yescharacteristic
134#17988790C2211yescharacteristic
135#17988790C2211yescharacteristic
136#17988790C2211yescharacteristic, complemented
137#17988790C2211yescharacteristic, complemented
138#17988790C2211yescharacteristic, complemented
139#17988790C2211yescharacteristic, complemented
140#17988790C2211yescharacteristic, complemented
141#17988789C2211yescharacteristic, complemented
142#17988786C2211yescharacteristic
143#17988785C2211yescharacteristic
144#17988749C2211yescharacteristic
145#17988742C2211yescharacteristic, complemented
146#17988741C2211yescharacteristic, complemented
147#17988741C2211yescharacteristic, complemented
148#17988739C2211yescharacteristic
149#17988738C2211yescharacteristic
150#17988736C2211yescharacteristic
151#17988728C2211yescharacteristic
152#17988728C2211yescharacteristic, complemented
153#17988726C2211yescharacteristic
154#17988726C2211yescharacteristic, complemented
155#17988725C2211yescharacteristic, complemented
156#17988724C2211yescharacteristic
157#17988724C2211yescharacteristic
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988689C2211yescharacteristic, complemented
161#17988688C2211yescharacteristic
162#17988688C2211yescharacteristic, complemented
163#17988687C2211yescharacteristic
164#17988685C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic
166#17988684C2211yescharacteristic, complemented
167Q16×Dic73C2211yescharacteristic, complemented
168#17988679C2211yescharacteristic, complemented
169#17988678C2211yescharacteristic
170SD16×Dic73C2211yescharacteristic
171#17988661C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic
175#17988650C2211yescharacteristic
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180C2×#14556520C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988597C2211yescharacteristic, complemented
183#17988596C2211yescharacteristic, complemented
184C2×#14556516C2211yescharacteristic, complemented
185C2×#14556515C2211yescharacteristic, complemented
186#103×D73C2211yescharacteristic, complemented
187#103×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
205C22×Dic146C2311yescharacteristic
206C22×Dic146C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C22×C22⋊D73—21no—
210C2×D4×D73C2311yescharacteristic
211C23×Dic73—21no—
212C22×C4×D73—21no—
213#14556621—42no—
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016—42no—
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230SD16×D73—42no—
231SD16×D73—42no—
232C2×#11924012C2311yescharacteristic
233C22×#10596831C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236#14556591C2311yescharacteristic
237#14556590—21no—
238#14556590—21no—
239#14556590—21no—
240#14556590—21no—
241#14556590—21no—
242#14556590C2311yescharacteristic
243#14556590C2311yescharacteristic
244#14556589—21no—
245#14556589—21no—
246#14556589—21no—
247#14556589—21no—
248#14556589—21no—
249#14556589—21no—
250#14556589C2311yescharacteristic
251#14556589C2311yescharacteristic
252#14556589C2311yescharacteristic
253#14556589C2311yescharacteristic
254#14556589C2311yescharacteristic
255#14556589C2311yescharacteristic
256#14556589C2311yescharacteristic
257#14556587C2311yescharacteristic
258#14556586—21no—
259#14556586—21no—
260#14556584—21no—
261#14556584—21no—
262#14556583—21no—
263#14556583C2311yescharacteristic
264#14556582—21no—
265#14556582C2311yescharacteristic
266#14556581—21no—
267#14556581—21no—
268#14556581—21no—
269#14556581—21no—
270#14556581—21no—
271#14556581—21no—
272#14556581—21no—
273#14556581—21no—
274#14556580C2311yescharacteristic
275#14556577—21no—
276#14556577—21no—
277#14556575—21no—
278#14556575—21no—
279#14556574—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556572—21no—
284#14556571—21no—
285#14556571C2311yescharacteristic
286#14556570—21no—
287#14556570—21no—
288#14556570—21no—
289#14556570C2311yescharacteristic
290#14556570C2311yescharacteristic
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556567—21no—
304#14556567—21no—
305#14556567C2311yescharacteristic
306#14556567C2311yescharacteristic
307#14556565C2311yescharacteristic
308#14556565C2311yescharacteristic
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556562—21no—
314#14556562C2311yescharacteristic
315#14556560—21no—
316#14556559—21no—
317#14556559—21no—
318Q8×Dic73C2311yescharacteristic
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321Q8×Dic73C2311yescharacteristic
322C4×Dic146—21no—
323C4×Dic146—21no—
324C4×Dic146C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326#14556556—21no—
327#14556556—21no—
328#14556556—21no—
329#14556556D411yescharacteristic
330#14556556C2311yescharacteristic
331#14556556C2311yescharacteristic
332C4×D292C2311yescharacteristic
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73D411yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344#14556553C2311yescharacteristic
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73C2311yescharacteristic
349C4×C22⋊D73C2311yescharacteristic
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551D411yescharacteristic
361#14556551D411yescharacteristic
362#14556550—21no—
363#14556550C2311yescharacteristic
364#14556549—21no—
365#14556549D411yescharacteristic
366#14556548—21no—
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370#14556547D411yescharacteristic
371#14556547D411yescharacteristic
372C2×C4⋊Dic73C2311yescharacteristic
373C2×#11924007—21no—
374C2×#11924007—21no—
375C2×#11924007—21no—
376C2×#11924007—21no—
377C2×#11924007—21no—
378C4⋊C4×D73—21no—
379C4⋊C4×D73—21no—
380C4⋊C4×D73C2311yescharacteristic
381C2×C22⋊Dic73—21no—
382C2×#11924005—21no—
383C22⋊C4×D73—21no—
384C2×C4×Dic73—21no—
385C2×C4×Dic73C2311yescharacteristic
386C2×C4×Dic73C2311yescharacteristic
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556515C2311yescharacteristic
420#14556515C2311yescharacteristic
421#14556515C2311yescharacteristic
422#14556515C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C22×Q8×C73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443#137×C73—42no—
444C2×Q16×C73C2311yescharacteristic
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×SD16×C73—42no—
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456C4⋊Q8×C73—21no—
457C4⋊Q8×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#123×C73—21no—
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73—21no—
462C22⋊Q8×C73C2311yescharacteristic
463C22⋊Q8×C73C2311yescharacteristic
464C22⋊Q8×C73C2311yescharacteristic
465#121×C73—21no—
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468C4×Q8×C73C2311yescharacteristic
469C4×D4×C73—21no—
470C4×D4×C73C2311yescharacteristic
471C4×D4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#107×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924027—24no—
486#11924027—82no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—41no—
494C2×Dic146—41no—
495C2×Dic146—41no—
496C2×Dic146—41no—
497C2×Dic146C2×D411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501Q8×D73—41no—
502Q8×D73—41no—
503Q8×D73—41no—
504Q8×D73—41no—
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—44no—
513C2×C22⋊D73C2×D411yescharacteristic
514C2×C22⋊D73C2×D411yescharacteristic
515D4×D73—22no—
516D4×D73—41no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—82no—
526C22×Dic73C2×D411yescharacteristic
527C22×Dic73C2×D411yescharacteristic
528C22×Dic73C2×D411yescharacteristic
529C22×Dic73C2×D411yescharacteristic
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—82no—
536C2×C4×D73C2×D411yescharacteristic
537C2×C4×D73C2×D411yescharacteristic
538C2×C4×D73C2411yescharacteristic
539#11924018—41no—
540#11924018—41no—
541#11924018—41no—
542#11924017—41no—
543#11924017—41no—
544#11924017—41no—
545#11924016—22no—
546#11924016—22no—
547#11924016—22no—
548#11924016—41no—
549#11924016—41no—
550#11924016—41no—
551#11924015—41no—
552#11924015—41no—
553#11924015—41no—
554#11924012—41no—
555C2×#10596831—41no—
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C8×D73—41no—
561C8×D73—41no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73C2×D411yescharacteristic
617C22⋊Dic73C2×D411yescharacteristic
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C24×C73—21no—
647#41×C73—22no—
648#41×C73—41no—
649C2×Q8×C73—21no—
650C2×Q8×C73—21no—
651C2×Q8×C73—41no—
652C2×Q8×C73—41no—
653C2×Q8×C73—41no—
654C2×Q8×C73—41no—
655C2×Q8×C73C2411yescharacteristic
656C2×Q8×C73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—22no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—41no—
664C2×D4×C73C2×D411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73C2411yescharacteristic
672C22×C4×C73C2411yescharacteristic
673Q16×C73—41no—
674Q16×C73—41no—
675Q16×C73—41no—
676SD16×C73—22no—
677SD16×C73—22no—
678SD16×C73—22no—
679SD16×C73—41no—
680SD16×C73—41no—
681SD16×C73—41no—
682M16×C73—41no—
683C2×C8×C73—41no—
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73—21no—
693C4⋊C4×C73—21no—
694C4⋊C4×C73C2×D411yescharacteristic
695C4⋊C4×C73C2411yescharacteristic
696C4⋊C4×C73C2411yescharacteristic
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73C2×D411yescharacteristic
705C22⋊C4×C73C2×D411yescharacteristic
706C42×C73—21no—
707C42×C73C2411yescharacteristic
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—42no—
711C23×C73—42no—
712C23×C73—81no—
713C23×C73C22×D411yescharacteristic
714C23×C73C22×D411yescharacteristic
715C22×D73—21no—
716C22×D73—42no—
717C22×D73—42no—
718C22×D73—81no—
719C22×D73C22×D411yescharacteristic
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—81no—
729Q8×C73—81no—
730D4×C73—22no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—42no—
735D4×C73—42no—
736D4×C73—81no—
737D4×C73H(5,𝔽2)12yes—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—42no—
749C2×C4×C73—81no—
750C2×C4×C73—81no—
751C2×C4×C73—81no—
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C2511yescharacteristic
757C22⋊D73—22no—
758C22⋊D73—42no—
759C22⋊D73—42no—
760C22⋊D73—42no—
761C22⋊D73—42no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73#13714yescomplemented
765C2×Dic73—22no—
766C2×Dic73—22no—
767C2×Dic73—22no—
768C2×Dic73—22no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—42no—
777C2×Dic73—42no—
778C2×Dic73—42no—
779C2×Dic73—81no—
780C2×Dic73—81no—
781C2×Dic73—81no—
782C2×Dic73—81no—
783C2×Dic73—81no—
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791D292—21no—
792D292—21no—
793C4×D73—22no—
794C4×D73—21no—
795C4×D73—21no—
796C4×D73—22no—
797C4×D73—42no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801C4×D73—81no—
802Dic146—22no—
803Dic146—21no—
804Dic146—21no—
805Dic146—21no—
806Dic146—21no—
807Dic146—21no—
808Dic146—21no—
809Dic146—42no—
810Dic146—81no—
811Dic146—81no—
812Dic146—81no—
813Dic146—81no—
814Dic146—81no—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—21no—
826C22×C73—22no—
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—84no—
835C22×C73C2×#13712yes—
836C22×C73C23×D411yescharacteristic
837C2×D73—21no—
838C2×D73—21no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—84no—
843C2×D73C2×#13712yes—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73C2×H(5,𝔽2)11yescharacteristic
855C4×C73#58511yescharacteristic
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867Dic73—41no—
868Dic73C2×#13712yes—
869Dic73#57712yes—
870#61980—731nomaximal, Sylow
871C2×C73—22no—
872C2×C73—42no—
873C2×C73—41no—
874C2×C73—81no—
875C2×C73#348811yescharacteristic
876C2×C73C22×#13711yescharacteristic
877C2×C73C2×#57711yescharacteristic
878D73—22no—
879D73—81no—
880#3503—731no—
881#3481—731no—
882#3400—731no—
883#3400—731no—
884#3372—731no—
885#3372—731no—
886#3320—731no—
887#3320—731no—
888#3320—731no—
889#3320—731no—
890#3299—731no—
891#3299—731no—
892D4×SD16—731no—
893D4×SD16—731no—
894#3266—731no—
895#3266—731no—
896#3266—731no—
897#3266D7311yescharacteristic, complemented
898#3254—731no—
899#3248—731no—
900#3248—731no—
901#3218—731no—
902#3218—731no—
903#3206—731no—
904#3110—731no—
905#3110—731no—
906#3107—731no—
907#3039—731no—
908C2×#461—731no—
909C2×#461—731no—
910#2990—731no—
911C73#6198011yescharacteristic, complemented, Sylow
912C2×#137—731no—
913C2×#137C2×D7311yescharacteristic
914C22×SD16—731no—
915C22×SD16—731no—
916C22×SD16—731no—
917C22×SD16C2×D7311yescharacteristic
918#559—731no—
919Q82—1461no—
920#557—731no—
921#557—731no—
922#554—731no—
923#554—731no—
924#554—1461no—
925#554—1461no—
926#554—1461no—
927#553—731no—
928#553—731no—
929#553—1461no—
930#551—1461no—
931#551—1461no—
932D4×Q8—731no—
933D4×Q8—731no—
934D4×Q8—731no—
935D4×Q8—731no—
936D4×Q8—731no—
937D4×Q8C2×D7311yescharacteristic, complemented
938#546—731no—
939#546—1461no—
940#546C2×D7311yescharacteristic
941D42—731no—
942#544—1461no—
943#544—1461no—
944#544—1461no—
945#533—731no—
946#533—731no—
947#533—731no—
948#532—731no—
949C2×C4⋊Q8—731no—
950C2×C4⋊Q8—731no—
951C2×C4⋊Q8—731no—
952#529—731no—
953#529—731no—
954#529—1461no—
955#525—1461no—
956#525—1461no—
957#520—1461no—
958C4×#41—731no—
959C4×#41—731no—
960C2×C4×D4—731no—
961C2×C4×D4—731no—
962C2×C4×D4—1461no—
963#497—731no—
964#497—731no—
965#497—731no—
966#497C2×D7311yescharacteristic, complemented
967#492—731no—
968#492—731no—
969#491—731no—
970#491—731no—
971#491—731no—
972#491—731no—
973#487—731no—
974#487—731no—
975#485—731no—
976#485—731no—
977#484—731no—
978#484—731no—
979#484—731no—
980#484—731no—
981#479—731no—
982#479—731no—
983#479—731no—
984#479—731no—
985#477—731no—
986#477—731no—
987#475—731no—
988#474—731no—
989#474—731no—
990#474—731no—
991#468—731no—
992#468—731no—
993#468—731no—
994#468C2×D7311yescharacteristic, complemented
995#467—731no—
996#467—731no—
997#467—731no—
998#467C2×D7311yescharacteristic, complemented
999#465—731no—
1000#465—731no—
1001#465—731no—
1002#465—731no—
1003#464—731no—
1004#464—731no—
1005#464—731no—
1006#464C2×D7311yescharacteristic, complemented
1007#462—731no—
1008#462—731no—
1009#462—731no—
1010#462—731no—
1011#462—731no—
1012#461—731no—
1013#461—731no—
1014#461—731no—
1015#461—731no—
1016#461—731no—
1017#461—731no—
1018#461—731no—
1019#461—731no—
1020#461—731no—
1021#461—731no—
1022#461—731no—
1023#461—731no—
1024#461—731no—
1025#461—731no—
1026#461—731no—
1027#461—731no—
1028#461—731no—
1029#461—731no—
1030#461C2×D7311yescharacteristic
1031#460—731no—
1032#460—731no—
1033#452—731no—
1034#452C2×D7311yescharacteristic
1035#451—731no—
1036#451—731no—
1037#451—731no—
1038#451C2×D7311yescharacteristic, complemented
1039#450—731no—
1040#450—731no—
1041#450—731no—
1042#450C2×D7311yescharacteristic
1043#448—731no—
1044#448—731no—
1045#448—731no—
1046#448—731no—
1047#448—731no—
1048#448—731no—
1049#448—731no—
1050#448C2×D7311yescharacteristic, complemented
1051#446—731no—
1052#446—731no—
1053#440—731no—
1054#440—731no—
1055#440—731no—
1056#440—731no—
1057#440—731no—
1058#440—731no—
1059#440—731no—
1060#440C2×D7311yescharacteristic
1061C4×Q16—731no—
1062C4×Q16—731no—
1063C4×SD16—731no—
1064C4×SD16—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#435C2×D7311yescharacteristic, complemented
1069C8×D4—731no—
1070C8×D4—731no—
1071#432—731no—
1072#432—731no—
1073#431—731no—
1074#423—731no—
1075C2×C4⋊C8—731no—
1076C2×C4⋊C8—731no—
1077#419—731no—
1078#419—731no—
1079C2×#103—731no—
1080C2×#103—731no—
1081C2×#103—731no—
1082C2×#103—731no—
1083C2×#41—731no—
1084C2×#41—1461no—
1085C2×#41C22×D7311yescharacteristic
1086C22×Q8—731no—
1087C22×Q8—731no—
1088C22×Q8—731no—
1089C22×Q8—731no—
1090C22×Q8C22×D7311yescharacteristic
1091C22×Q8C22×D7311yescharacteristic
1092C22×D4—731no—
1093C22×D4—1461no—
1094C22×D4C22×D7311yescharacteristic
1095C23×C4—1461no—
1096C23×C4—1461no—
1097#137—42no—
1098#137—2922no—
1099C2×Q16—731no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16C22×D7311yescharacteristic
1103C2×Q16C22×D7311yescharacteristic
1104C2×Q16C22×D7311yescharacteristic
1105C2×SD16—42no—
1106C2×SD16—2922no—
1107C2×SD16—2922no—
1108C2×SD16—2922no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16C22×D7311yescharacteristic
1122C2×SD16C22×D7311yescharacteristic
1123C2×SD16C22×D7311yescharacteristic
1124C2×SD16C22×D7311yescharacteristic
1125C2×SD16C22×D7311yescharacteristic
1126C2×SD16C22×D7311yescharacteristic
1127C2×M16—731no—
1128C2×M16C22×D7311yescharacteristic
1129C22×C8—731no—
1130C22×C8—731no—
1131C22×C8—731no—
1132C22×C8C22×D7311yescharacteristic
1133C4⋊Q8—21no—
1134C4⋊Q8—731no—
1135C4⋊Q8—731no—
1136C4⋊Q8—731no—
1137C4⋊Q8—731no—
1138C4⋊Q8—731no—
1139C4⋊Q8—731no—
1140C4⋊Q8—731no—
1141C4⋊Q8—731no—
1142C4⋊Q8—731no—
1143C4⋊Q8—731no—
1144C4⋊Q8—1461no—
1145C4⋊Q8—1461no—
1146C4⋊Q8—1461no—
1147C4⋊Q8—1461no—
1148C4⋊Q8—1461no—
1149C4⋊Q8—1461no—
1150C4⋊Q8—1461no—
1151C4⋊Q8—1461no—
1152C4⋊Q8—1461no—
1153C4⋊Q8—1461no—
1154C4⋊Q8—1461no—
1155C4⋊Q8C22×D7311yescharacteristic
1156#127—731no—
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#125—731no—
1162#125—731no—
1163#125—1461no—
1164#125—1461no—
1165#125—1461no—
1166#125—1461no—
1167#125—1461no—
1168#125—1461no—
1169#125—1461no—
1170#125—1461no—
1171#125—1461no—
1172#125—1461no—
1173#124—731no—
1174#124—1461no—
1175#124—1461no—
1176#124C22×D7311yescharacteristic
1177#123—21no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185C22⋊Q8—21no—
1186C22⋊Q8—21no—
1187C22⋊Q8—731no—
1188C22⋊Q8—731no—
1189C22⋊Q8—731no—
1190C22⋊Q8—731no—
1191C22⋊Q8—731no—
1192C22⋊Q8—1461no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8C22×D7311yescharacteristic
1211C22⋊Q8C22×D7311yescharacteristic
1212C22⋊Q8C22×D7311yescharacteristic
1213#121—21no—
1214#121—731no—
1215#121—731no—
1216#121—731no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121C22×D7311yescharacteristic
1223#120—21no—
1224#120—1461no—
1225#120—1461no—
1226#120—1461no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8—1461no—
1239C4×Q8—1461no—
1240C4×Q8—1461no—
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4C22×D7311yescharacteristic
1274C4×D4C22×D7311yescharacteristic
1275#117—731no—
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285C2×C4⋊C4—731no—
1286C2×C4⋊C4—731no—
1287C2×C4⋊C4—1461no—
1288C2×C4⋊C4—1461no—
1289C2×C4⋊C4—1461no—
1290C2×C4⋊C4—1461no—
1291C2×C4⋊C4—1461no—
1292C2×C4⋊C4—1461no—
1293C2×C4⋊C4—1461no—
1294C2×C22⋊C4—21no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C42—731no—
1299C2×C42—731no—
1300C2×C42—731no—
1301C2×C42—1461no—
1302#107—731no—
1303#107—731no—
1304#107—731no—
1305#107—731no—
1306#107—731no—
1307#107C22×D7311yescharacteristic
1308#106—731no—
1309#106—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8—731no—
1315C4⋊C8—731no—
1316C4⋊C8—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8C22×D7311yescharacteristic
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103C22×D7311yescharacteristic
1343#103C22×D7311yescharacteristic
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102C22×D7311yescharacteristic
1351#102C22×D7311yescharacteristic
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8—731no—
1355C22⋊C8—731no—
1356C22⋊C8C22×D7311yescharacteristic
1357C22⋊C8C22×D7311yescharacteristic
1358#97—731no—
1359#97—731no—
1360#97—731no—
1361#97C22×D7311yescharacteristic
1362C4×C8—731no—
1363C4×C8—731no—
1364C24—21no—
1365C24—1461no—
1366#41—22no—
1367#41—41no—
1368#41—5842no—
1369#41—1464no—
1370C2×Q8—21no—
1371C2×Q8—21no—
1372C2×Q8—41no—
1373C2×Q8—41no—
1374C2×Q8—41no—
1375C2×Q8—41no—
1376C2×Q8—2921no—
1377C2×Q8—2921no—
1378C2×Q8—2921no—
1379C2×Q8—2921no—
1380C2×Q8—2921no—
1381C2×Q8—2921no—
1382C2×Q8—2921no—
1383C2×Q8—2921no—
1384C2×Q8—731no—
1385C2×Q8—731no—
1386C2×Q8—731no—
1387C2×Q8—731no—
1388C2×Q8—1461no—
1389C2×Q8—1461no—
1390C2×Q8—1461no—
1391C2×Q8—1461no—
1392C2×Q8—1461no—
1393C2×Q8—1461no—
1394C2×Q8C23×D7311yescharacteristic
1395C2×Q8C23×D7311yescharacteristic
1396C2×Q8C23×D7311yescharacteristic
1397C2×Q8C23×D7311yescharacteristic
1398C2×D4—22no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—41no—
1403C2×D4—2924no—
1404C2×D4—2921no—
1405C2×D4—731no—
1406C2×D4—731no—
1407C2×D4—731no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1462no—
1414C2×D4—1461no—
1415C2×D4D4×D7311yescharacteristic
1416C2×D4C23×D7311yescharacteristic
1417C2×D4C23×D7311yescharacteristic
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—5842no—
1423C22×C4—5842no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—731no—
1428C22×C4—731no—
1429C22×C4—731no—
1430C22×C4—731no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4C23×D7311yescharacteristic
1445C22×C4C23×D7311yescharacteristic
1446Q16—41no—
1447Q16—41no—
1448Q16—41no—
1449Q16—2921no—
1450Q16—2921no—
1451Q16—2921no—
1452SD16—22no—
1453SD16—22no—
1454SD16—22no—
1455SD16—41no—
1456SD16—41no—
1457SD16—41no—
1458SD16—2921no—
1459SD16—2921no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—2921no—
1467SD16—1462no—
1468SD16—1462no—
1469SD16—1462no—
1470M16—41no—
1471M16—2921no—
1472C2×C8—41no—
1473C2×C8—2921no—
1474C2×C8—2921no—
1475C2×C8—2921no—
1476C2×C8—731no—
1477C2×C8—731no—
1478C2×C8—731no—
1479C2×C8—731no—
1480C2×C8C23×D7311yescharacteristic
1481C2×C8C23×D7311yescharacteristic
1482C2×C8C23×D7311yescharacteristic
1483C2×C8C23×D7311yescharacteristic
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—731no—
1494C4⋊C4—731no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4D4×D7311yescharacteristic
1536C4⋊C4C23×D7311yescharacteristic
1537C4⋊C4C23×D7311yescharacteristic
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—731no—
1546C22⋊C4—731no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4D4×D7311yescharacteristic
1568C22⋊C4D4×D7311yescharacteristic
1569C42—21no—
1570C42—731no—
1571C42—731no—
1572C42—731no—
1573C42—731no—
1574C42—731no—
1575C42—731no—
1576C42—731no—
1577C42—731no—
1578C42—731no—
1579C42—1461no—
1580C42—1461no—
1581C42—1461no—
1582C42—1461no—
1583C42—1461no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42C23×D7311yescharacteristic
1588C23—21no—
1589C23—21no—
1590C23—42no—
1591C23—42no—
1592C23—81no—
1593C23—2922no—
1594C23—2922no—
1595C23—5841no—
1596C23—731no—
1597C23—1461no—
1598C23C2×D4×D7311yescharacteristic
1599C23C2×D4×D7311yescharacteristic
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—21no—
1606Q8—21no—
1607Q8—21no—
1608Q8—81no—
1609Q8—81no—
1610Q8—2922no—
1611Q8—5841no—
1612Q8—5841no—
1613Q8—5841no—
1614Q8—5841no—
1615Q8—5841no—
1616Q8—1462no—
1617Q8—1461no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8—1461no—
1621Q8—1461no—
1622Q8—1461no—
1623D4—22no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—42no—
1628D4—42no—
1629D4—81no—
1630D4—2922no—
1631D4—2922no—
1632D4—2922no—
1633D4—2922no—
1634D4—5841no—
1635D4—5841no—
1636D4—734no—
1637D4—1462no—
1638D4—1461no—
1639D4—1461no—
1640D4#1455663612yes—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—42no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—2922no—
1656C2×C4—2922no—
1657C2×C4—2922no—
1658C2×C4—2922no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—5841no—
1666C2×C4—5841no—
1667C2×C4—5841no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—731no—
1672C2×C4—731no—
1673C2×C4—731no—
1674C2×C4—731no—
1675C2×C4—1462no—
1676C2×C4—1462no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1461no—
1681C2×C4—1461no—
1682C2×C4—1461no—
1683C2×C4—1461no—
1684C2×C4—1462no—
1685C2×C4—1462no—
1686C2×C4—1462no—
1687C2×C4—1462no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4C2×D4×D7311yescharacteristic
1691C2×C4C2×D4×D7311yescharacteristic
1692C2×C4C2×D4×D7311yescharacteristic
1693C2×C4C2×D4×D7311yescharacteristic
1694C2×C4C24×D7311yescharacteristic
1695C8—21no—
1696C8—21no—
1697C8—21no—
1698C8—21no—
1699C8—1461no—
1700C8—1461no—
1701C8—1461no—
1702C8—1461no—
1703C22—21no—
1704C22—21no—
1705C22—21no—
1706C22—22no—
1707C22—21no—
1708C22—21no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—84no—
1715C22—2921no—
1716C22—2921no—
1717C22—2921no—
1718C22—5844no—
1719C22—732no—
1720C22—1461no—
1721C22—1461no—
1722C22#137×D7312yes—
1723C22C22×D4×D7311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—2921no—
1738C4—2921no—
1739C4—2921no—
1740C4—2921no—
1741C4—732no—
1742C4—732no—
1743C4—1461no—
1744C4—1461no—
1745C4—1461no—
1746C4—1461no—
1747C4—1461no—
1748C4C2×#1455663611yescharacteristic
1749C4#1798942211yescharacteristic
1750C2—22no—
1751C2—41no—
1752C2—42no—
1753C2—81no—
1754C2—5841no—
1755C2—1462no—
1756C2#2262359111yescharacteristic
1757C2C2×#137×D7311yescharacteristic
1758C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3266C2
socleC22×C73C23×D4
prime radical#22623536C2
hypercenter#3266D73
hypocenterC73#61980
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
1. #22623742C2semidirect
3. #22622987C2semidirect
4. #22622981C2semidirect
5. #22622713C2semidirect
6. #22622707C2semidirect
7. #22622104C2semidirect
8. #22622102C2semidirect
9. #22622097C2semidirect
10. #22622095C2semidirect
11. #22621802C2semidirect
12. #22621800C2semidirect
13. #22621625C2semidirect
14. SD16×C22⋊D73C2semidirect
15. #22621439C2semidirect
16. #22621437C2semidirect
17. #22621435C2semidirect
18. #22621313C2semidirect
19. #22621265C2semidirect
20. #22621263C2semidirect
21. #22620961C2semidirect
22. #22620954C2semidirect
23. #22620854C2semidirect
24. #22620028C2semidirect
25. #22620025C2semidirect
26. #22619995C2semidirect
27. #22619416C2semidirect
28. C2×#17988790C2semidirect
29. #461×D73C2semidirect
30. #22619051C2semidirect
31. C73×#3266C2semidirect
38. #17989315C22semidirect
39. #17989312C22semidirect
50. D4×Dic146C22semidirect
52. Q8×C22⋊D73C22semidirect
54. #17989250C22semidirect
61. #17989141C22semidirect
62. #17989139C22semidirect
63. #17989139C22semidirect
65. C2×#14556589C22semidirect
66. C2×#14556589C22semidirect
67. C4⋊Q8×D73C22semidirect
79. #17988982C22semidirect
80. #17988980C22semidirect
81. #17988980C22semidirect
84. #17988956C22semidirect
85. #17988955C22semidirect
86. #17988954C22semidirect
87. #17988954C22semidirect
88. #17988936C22semidirect
89. #17988936C22semidirect
90. #17988929C22semidirect
91. #17988925C22semidirect
92. #17988924C22semidirect
93. #17988923C22semidirect
94. #17988921C22semidirect
95. #17988920C22semidirect
96. #17988895C22semidirect
97. #17988894C22semidirect
98. #17988893C22semidirect
99. #17988892C22semidirect
100. #17988881C22semidirect
101. #17988880C22semidirect
102. #17988870C22semidirect
103. #17988866C22semidirect
105. #17988865C22semidirect
106. #17988835C22semidirect
107. #17988833C22semidirect
108. #17988831C22semidirect
109. #17988827C22semidirect
110. #17988826C22semidirect
111. #17988825C22semidirect
116. #17988812C22semidirect
117. #17988811C22semidirect
118. #17988806C22semidirect
119. #17988795C22semidirect
120. #17988795C22semidirect
121. #17988795C22semidirect
122. #17988795C22semidirect
123. #17988795C22semidirect
124. #17988793C22semidirect
126. #17988791C22semidirect
127. #17988791C22semidirect
128. #17988791C22semidirect
136. #17988790C22semidirect
137. #17988790C22semidirect
138. #17988790C22semidirect
139. #17988790C22semidirect
140. #17988790C22semidirect
141. #17988789C22semidirect
145. #17988742C22semidirect
146. #17988741C22semidirect
147. #17988741C22semidirect
152. #17988728C22semidirect
154. #17988726C22semidirect
155. #17988725C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988689C22semidirect
162. #17988688C22semidirect
164. #17988685C22semidirect
166. #17988684C22semidirect
167. Q16×Dic73C22semidirect
168. #17988679C22semidirect
171. #17988661C22semidirect
172. #17988659C22semidirect
173. #17988656C22semidirect
176. #17988642C22semidirect
177. #17988641C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
180. C2×#14556520C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988597C22semidirect
183. #17988596C22semidirect
184. C2×#14556516C22semidirect
185. C2×#14556515C22semidirect
186. #103×D73C22semidirect
187. #103×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
764. C22⋊D73#137semidirect
897. #3266D73semidirect
911. C73#61980semidirect
937. D4×Q8C2×D73semidirect
966. #497C2×D73semidirect
994. #468C2×D73semidirect
998. #467C2×D73semidirect
1006. #464C2×D73semidirect
1038. #451C2×D73semidirect
1050. #448C2×D73semidirect
1068. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237422
#226235362
#226229872
#226229812
#226227132
#226227072
#226221042
#226221022
#226220972
#226220952
#226218022
#226218002
#226216252
SD16×C22⋊D732
#226214392
#226214372
#226214352
#226213132
#226212652
#226212632
#226209612
#226209542
#226208542
#226200282
#226200252
#226199952
#226194162
C2×#179887902
#461×D732
#226190512
C73×#32662
#6198073