Finite Group Databasebeta

← #33968572

Subgroups — #33968572

Order 18688.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624020C211yesmaximal, characteristic, complemented
2#22623950C211yesmaximal, characteristic
3#22622911C211yesmaximal, characteristic, complemented
4#22622801C211yesmaximal, characteristic, complemented
5#22622713C211yesmaximal, characteristic, complemented
6#22622657C211yesmaximal, characteristic, complemented
7#22622342C211yesmaximal, characteristic, complemented
8#22622314C211yesmaximal, characteristic, complemented
9#22622310C211yesmaximal, characteristic, complemented
10#22622220C211yesmaximal, characteristic, complemented
11#22622158C211yesmaximal, characteristic, complemented
12#22622108C211yesmaximal, characteristic, complemented
13#22622104C211yesmaximal, characteristic, complemented
14#22621948C211yesmaximal, characteristic, complemented
15#22621625C211yesmaximal, characteristic, complemented
16#22621625C211yesmaximal, characteristic, complemented
17D4×#11924016C211yesmaximal, characteristic, complemented
18#22620558C211yesmaximal, characteristic, complemented
19#22620554C211yesmaximal, characteristic, complemented
20#22620485C211yesmaximal, characteristic, complemented
21#22620220C211yesmaximal, characteristic, complemented
22#22620218C211yesmaximal, characteristic, complemented
23#22620185C211yesmaximal, characteristic, complemented
24#22620177C211yesmaximal, characteristic, complemented
25#22620050C211yesmaximal, characteristic, complemented
26#22620025C211yesmaximal, characteristic, complemented
27#22618901C211yesmaximal, characteristic, complemented
28#22618793C211yesmaximal, characteristic, complemented
29#22618787C211yesmaximal, characteristic, complemented
30C2×#17988678C211yesmaximal, characteristic, complemented
31C73×#3310C211yesmaximal, characteristic, complemented
32C22×#11924016C2211yescharacteristic
33C22×#11924016C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989315C2211yescharacteristic, complemented
36#17989314—21no—
37#17989314C2211yescharacteristic, complemented
38#17989305C2211yescharacteristic, complemented
39#17989304—21no—
40#17989301C2211yescharacteristic
41#17989296C2211yescharacteristic
42#17989289C2211yescharacteristic
43#17989283C2211yescharacteristic
44#17989280—21no—
45#17989274—21no—
46#17989272C2211yescharacteristic, complemented
47#17989270—21no—
48#17989257C2211yescharacteristic
49D4×Dic146C2211yescharacteristic, complemented
50#17989250C2211yescharacteristic, complemented
51#17989250C2211yescharacteristic, complemented
52#17989231—21no—
53#17989224—21no—
54#17989224—21no—
55D4×C22⋊D73C2211yescharacteristic
56D4×C22⋊D73C2211yescharacteristic
57#17989200C2211yescharacteristic, complemented
58#17989197C2211yescharacteristic, complemented
59#17989196—21no—
60#17989194—21no—
61#17989191C2211yescharacteristic
62#17989190C2211yescharacteristic
63#17989174—21no—
64#17989172—21no—
65#17989140—21no—
66#17989139C2211yescharacteristic, complemented
67#17989132C2211yescharacteristic
68#17989117C2211yescharacteristic
69#17989114—21no—
70#17989093—21no—
71C2×#14556563—21no—
72#17989064C2211yescharacteristic, complemented
73#17989063C2211yescharacteristic, complemented
74#17989062C2211yescharacteristic
75#17989059C2211yescharacteristic
76C2×#14556556C2211yescharacteristic, complemented
77C2×D4×Dic73C2211yescharacteristic
78#17988988C2211yescharacteristic, complemented
79#17988986C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988959C2211yescharacteristic, complemented
82#17988958C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic, complemented
84#17988956C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988931C2211yescharacteristic, complemented
90#17988930C2211yescharacteristic, complemented
91#17988929C2211yescharacteristic, complemented
92#17988925C2211yescharacteristic, complemented
93#17988923C2211yescharacteristic, complemented
94#17988920C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988900C2211yescharacteristic, complemented
99#17988897C2211yescharacteristic, complemented
100#17988895C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988889C2211yescharacteristic
104#17988885C2211yescharacteristic, complemented
105#17988884C2211yescharacteristic, complemented
106#17988881C2211yescharacteristic, complemented
107#17988881C2211yescharacteristic, complemented
108#17988865C2211yescharacteristic
109#17988865C2211yescharacteristic, complemented
110#17988833C2211yescharacteristic, complemented
111#17988832C2211yescharacteristic, complemented
112#17988832C2211yescharacteristic, complemented
113#17988818C2211yescharacteristic, complemented
114#17988818C2211yescharacteristic, complemented
115#17988816C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic, complemented
117#17988815C2211yescharacteristic, complemented
118#17988814C2211yescharacteristic, complemented
119#17988814C2211yescharacteristic, complemented
120#17988793C2211yescharacteristic, complemented
121#17988792C2211yescharacteristic
122#17988790C2211yescharacteristic
123#17988790C2211yescharacteristic
124#17988790C2211yescharacteristic, complemented
125#17988790C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988786C2211yescharacteristic, complemented
128#17988786C2211yescharacteristic, complemented
129#17988786C2211yescharacteristic, complemented
130#17988784C2211yescharacteristic, complemented
131#17988739C2211yescharacteristic
132#17988739C2211yescharacteristic
133#17988738C2211yescharacteristic
134#17988738C2211yescharacteristic
135#17988728C2211yescharacteristic, complemented
136#17988728C2211yescharacteristic, complemented
137#17988725C2211yescharacteristic, complemented
138#17988725C2211yescharacteristic, complemented
139#17988724C2211yescharacteristic, complemented
140#17988724C2211yescharacteristic, complemented
141#17988715C2211yescharacteristic, complemented
142#17988711C2211yescharacteristic, complemented
143#17988689C2211yescharacteristic, complemented
144#17988688C2211yescharacteristic
145#17988688C2211yescharacteristic, complemented
146#17988686C2211yescharacteristic, complemented
147#17988686C2211yescharacteristic, complemented
148#17988684C2211yescharacteristic
149#17988684C2211yescharacteristic
150#17988684C2211yescharacteristic, complemented
151#17988684C2211yescharacteristic, complemented
152#17988684C2211yescharacteristic, complemented
153#17988684C2211yescharacteristic, complemented
154#17988678C2211yescharacteristic
155#17988678C2211yescharacteristic
156#17988678C2211yescharacteristic
157#17988678C2211yescharacteristic
158#17988678C2211yescharacteristic
159#17988678C2211yescharacteristic, complemented
160#17988678C2211yescharacteristic, complemented
161#17988678C2211yescharacteristic, complemented
162#17988678C2211yescharacteristic, complemented
163#17988678C2211yescharacteristic, complemented
164#17988678C2211yescharacteristic, complemented
165SD16×Dic73C2211yescharacteristic, complemented
166C4×#11924015C2211yescharacteristic, complemented
167#17988674C2211yescharacteristic, complemented
168C4×#11924016C2211yescharacteristic
169#17988672C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172D4×#10596831C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988624C2211yescharacteristic, complemented
179#17988623C2211yescharacteristic, complemented
180C2×#14556522C2211yescharacteristic, complemented
181#17988597C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic
184C2×#14556516C2211yescharacteristic, complemented
185#17988545C2211yescharacteristic, complemented
186#17988544C2211yescharacteristic, complemented
187C2×C8×Dic73C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic
194#468×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924027—21no—
204C2×#11924027—21no—
205C22×Dic146C2311yescharacteristic
206C22×Dic146C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×C22⋊D73—21no—
209C22×C22⋊D73—21no—
210C2×D4×D73C2311yescharacteristic
211C23×Dic73—21no—
212C2×#11924017C2311yescharacteristic
213C2×#11924017C2311yescharacteristic
214C2×#11924017C2311yescharacteristic
215C2×#11924016—24no—
216C2×#11924016—24no—
217C2×#11924016C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227SD16×D73—24no—
228C2×#11924011C2311yescharacteristic
229C22×#10596831C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232#14556591C2311yescharacteristic
233#14556590—21no—
234#14556590—21no—
235#14556590—21no—
236#14556590—21no—
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556589C2311yescharacteristic
240#14556589C2311yescharacteristic
241#14556587C2311yescharacteristic
242#14556587C2311yescharacteristic
243#14556586—21no—
244#14556586—21no—
245#14556586—21no—
246#14556586—21no—
247#14556586D411yescharacteristic
248#14556585—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556584D411yescharacteristic
254#14556583—21no—
255#14556583C2311yescharacteristic
256#14556582—21no—
257#14556582—21no—
258#14556582—21no—
259#14556582C2311yescharacteristic
260#14556582C2311yescharacteristic
261#14556581—21no—
262#14556581—21no—
263#14556581—21no—
264#14556581—21no—
265#14556581—21no—
266#14556581—21no—
267#14556581—21no—
268#14556581D411yescharacteristic
269#14556578—21no—
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577D411yescharacteristic
274#14556575—21no—
275#14556575—21no—
276#14556575D411yescharacteristic
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556572—21no—
281#14556572—21no—
282#14556572D411yescharacteristic
283#14556571C2311yescharacteristic
284#14556571C2311yescharacteristic
285#14556570—21no—
286#14556570C2311yescharacteristic
287#14556570C2311yescharacteristic
288#14556569—21no—
289#14556569—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568D411yescharacteristic
298#14556565C2311yescharacteristic
299#14556565C2311yescharacteristic
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563D411yescharacteristic
312#14556562—21no—
313#14556562—21no—
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556560—21no—
317#14556560—21no—
318#14556559—21no—
319#14556559—21no—
320Q8×Dic73C2311yescharacteristic
321C4×Dic146—21no—
322C4×Dic146—21no—
323C4×Dic146—21no—
324C4×Dic146—21no—
325C4×Dic146—21no—
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328#14556556—21no—
329#14556556—21no—
330#14556556—21no—
331#14556556—21no—
332#14556556—21no—
333#14556556C2311yescharacteristic
334#14556556C2311yescharacteristic
335#14556556C2311yescharacteristic
336#14556556C2311yescharacteristic
337#14556556C2311yescharacteristic
338#14556556C2311yescharacteristic
339#14556556C2311yescharacteristic
340C4×D292C2311yescharacteristic
341D4×Dic73—21no—
342D4×Dic73—21no—
343D4×Dic73—21no—
344D4×Dic73—21no—
345D4×Dic73—21no—
346D4×Dic73—21no—
347D4×Dic73C2311yescharacteristic
348D4×Dic73C2311yescharacteristic
349D4×Dic73C2311yescharacteristic
350D4×Dic73C2311yescharacteristic
351D4×Dic73C2311yescharacteristic
352D4×Dic73C2311yescharacteristic
353D4×Dic73C2311yescharacteristic
354#14556553C2311yescharacteristic
355C4×C22⋊D73—21no—
356C4×C22⋊D73C2311yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556550—21no—
364#14556550C2311yescharacteristic
365#14556550C2311yescharacteristic
366#14556549—21no—
367#14556549C2311yescharacteristic
368#14556549C2311yescharacteristic
369#14556548—21no—
370#14556548C2311yescharacteristic
371#14556547—21no—
372#14556547—21no—
373#14556547—21no—
374#14556547—21no—
375C2×C4⋊Dic73C2311yescharacteristic
376C2×#11924007—21no—
377C2×#11924007—21no—
378C2×C22⋊Dic73—21no—
379C2×C22⋊Dic73—21no—
380C2×C22⋊Dic73—21no—
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×D4×C73—21no—
439C22×D4×C73C2311yescharacteristic
440C22×D4×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×M16×C73C2311yescharacteristic
445C22×C8×C73C2311yescharacteristic
446#127×C73C2311yescharacteristic
447#126×C73—21no—
448#125×C73—21no—
449#125×C73C2311yescharacteristic
450#123×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453#121×C73—21no—
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#120×C73—21no—
457#120×C73—21no—
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73—21no—
462#117×C73C2311yescharacteristic
463C2×C4⋊C4×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924027—82no—
483#11924027—82no—
484C2×Dic146—22no—
485C2×Dic146—22no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—41no—
492C2×Dic146—41no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497Q8×D73—22no—
498Q8×D73—41no—
499C2×D292C2411yescharacteristic
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—82no—
510C2×C22⋊D73—82no—
511C2×C22⋊D73C2×D411yescharacteristic
512C2×C22⋊D73C2×D411yescharacteristic
513D4×D73—22no—
514D4×D73—41no—
515C22×Dic73—21no—
516C22×Dic73—21no—
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
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73C2411yescharacteristic
532#11924017—22no—
533#11924017—41no—
534#11924017—41no—
535#11924016—22no—
536#11924016—22no—
537#11924016—22no—
538#11924016—22no—
539#11924016—22no—
540#11924016—22no—
541#11924016—41no—
542#11924016—41no—
543#11924016#4114yescomplemented
544#11924015—22no—
545#11924011—41no—
546C2×#10596831—22no—
547C2×#10596831—22no—
548C2×#10596831C2411yescharacteristic
549C2×#10596831C2411yescharacteristic
550C2×#10596831C2411yescharacteristic
551C2×#10596831C2411yescharacteristic
552C8×D73—22no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73C2×D411yescharacteristic
562C4⋊Dic73C2×D411yescharacteristic
563C4⋊Dic73C2×D411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C24×C73—21no—
640C24×C73—21no—
641C2×Q8×C73C2411yescharacteristic
642C2×D4×C73—22no—
643C2×D4×C73—22no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—41no—
651C2×D4×C73—41no—
652C2×D4×C73—82no—
653C2×D4×C73C2×D411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C2×D4×C73C2411yescharacteristic
656C2×D4×C73C2411yescharacteristic
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73C2411yescharacteristic
660C22×C4×C73C2411yescharacteristic
661SD16×C73—22no—
662SD16×C73—41no—
663SD16×C73—41no—
664M16×C73—41no—
665C2×C8×C73—41no—
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
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×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—42no—
696C23×C73—42no—
697C23×C73—42no—
698C23×C73—81no—
699C23×C73—81no—
700C23×C73—81no—
701C23×C73C22×D411yescharacteristic
702C23×C73C22×D411yescharacteristic
703C22×D73—21no—
704C22×D73—42no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73C22×D411yescharacteristic
708Q8×C73—21no—
709Q8×C73—21no—
710D4×C73—22no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—42no—
717D4×C73—42no—
718D4×C73—42no—
719D4×C73—81no—
720D4×C73—81no—
721D4×C73—81no—
722D4×C73C2×#4112yes—
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—21no—
732C2×C4×C73—42no—
733C2×C4×C73—81no—
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C2511yescharacteristic
739C22⋊D73—22no—
740C22⋊D73—22no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—81no—
745C22⋊D73—81no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C2×Dic73—22no—
751C2×Dic73—21no—
752C2×Dic73—22no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—42no—
760C2×Dic73—42no—
761C2×Dic73—42no—
762C2×Dic73—42no—
763C2×Dic73—81no—
764C2×Dic73—81no—
765C2×Dic73—81no—
766C2×Dic73—81no—
767C2×Dic73—81no—
768C2×Dic73—81no—
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776D292—21no—
777D292—21no—
778C4×D73—21no—
779C4×D73—21no—
780C4×D73—42no—
781C4×D73—81no—
782C4×D73—81no—
783Dic146—21no—
784Dic146—22no—
785Dic146—21no—
786Dic146—21no—
787Dic146—21no—
788Dic146—21no—
789Dic146—42no—
790Dic146—42no—
791Dic146—42no—
792Dic146—42no—
793Dic146—81no—
794Dic146C2×#4112yes—
795C8×C73—21no—
796C8×C73—21no—
797C8×C73—21no—
798C8×C73—21no—
799#10596831—21no—
800#10596831—21no—
801#10596831—21no—
802#10596831C2×#4112yes—
803C22×C73—21no—
804C22×C73—21no—
805C22×C73—21no—
806C22×C73—22no—
807C22×C73—21no—
808C22×C73—21no—
809C22×C73—41no—
810C22×C73—41no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—84no—
818C22×C73—162no—
819C22×C73#57712yes—
820C22×C73C23×D411yescharacteristic
821C2×D73—21no—
822C2×D73—21no—
823C2×D73—21no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—162no—
828C4×C73—21no—
829C4×C73—21no—
830C4×C73—21no—
831C4×C73—21no—
832C4×C73—41no—
833C4×C73—41no—
834C4×C73—41no—
835C4×C73—41no—
836C4×C73—41no—
837C4×C73C22×#4111yescharacteristic
838C4×C73#58511yescharacteristic
839Dic73—22no—
840Dic73—21no—
841Dic73—21no—
842Dic73—21no—
843Dic73—21no—
844Dic73—21no—
845Dic73—21no—
846Dic73—41no—
847Dic73—41no—
848Dic73—41no—
849Dic73—41no—
850Dic73—41no—
851Dic73—41no—
852Dic73#57712yes—
853#61481—731nomaximal, Sylow
854C2×C73—22no—
855C2×C73—42no—
856C2×C73—41no—
857C2×C73—81no—
858C2×C73—81no—
859C2×C73D4×#4111yescharacteristic
860C2×C73C2×#57711yescharacteristic
861C2×C73C2×#57711yescharacteristic
862D73—41no—
863D73—81no—
864#3523—731no—
865#3519—731no—
866#3392—731no—
867#3381—731no—
868#3372—731no—
869#3368—731no—
870#3340—731no—
871#3337—731no—
872#3337—731no—
873#3329—731no—
874#3324—731no—
875#3320—731no—
876#3320—731no—
877#3310—731no—
878#3310D7311yescharacteristic, complemented
879D4×SD16—731no—
880D4×SD16—731no—
881D4×SD16—731no—
882#3174—731no—
883#3174—731no—
884#3167—731no—
885#3126—731no—
886#3126—731no—
887#3123—731no—
888#3123—731no—
889#3112—731no—
890#3110—731no—
891#2966—731no—
892#2949—731no—
893#2949—731no—
894C2×C4×SD16—731no—
895C73#6148111yescharacteristic, complemented, Sylow
896C22×SD16—731no—
897C22×SD16—731no—
898C22×SD16—731no—
899#557—731no—
900#557—731no—
901#557—1461no—
902#556—731no—
903#556—1461no—
904#555—731no—
905#554—731no—
906#553—731no—
907#553—731no—
908#553—1461no—
909#552—731no—
910#552—1461no—
911#552—1461no—
912#552C2×D7311yescharacteristic, complemented
913#550—731no—
914D4×Q8—731no—
915D4×Q8—731no—
916D4×Q8—731no—
917#546—1461no—
918#546—1461no—
919#546—1461no—
920D42—731no—
921D42—731no—
922D42C2×D7311yescharacteristic
923#541—731no—
924#541—731no—
925#541—1461no—
926#541—1461no—
927#540—731no—
928#540—731no—
929#538—1461no—
930#538—1461no—
931#533—731no—
932#533—1461no—
933#532—731no—
934#529—731no—
935#529—1461no—
936#525—1461no—
937C2×#121—1461no—
938#519—731no—
939#519—731no—
940#518—731no—
941#518—731no—
942C2×C4×Q8—731no—
943C2×C4×D4—731no—
944#499—731no—
945#499—731no—
946#498—731no—
947#492—731no—
948#492—731no—
949#492—731no—
950#491—731no—
951#491—731no—
952#490—731no—
953#490C2×D7311yescharacteristic, complemented
954#487—731no—
955#486—731no—
956#485—731no—
957#485—731no—
958#485—731no—
959#485—731no—
960#484—731no—
961#484—731no—
962#482—731no—
963#482—731no—
964#482—731no—
965#482C2×D7311yescharacteristic, complemented
966#480—731no—
967#480C2×D7311yescharacteristic, complemented
968#479—731no—
969#479—731no—
970#479—731no—
971#479—731no—
972#478—731no—
973#478—731no—
974#478—731no—
975#478C2×D7311yescharacteristic
976#477—731no—
977#477—731no—
978#474—731no—
979#474—731no—
980#468—731no—
981#468—731no—
982#468—731no—
983#468C2×D7311yescharacteristic, complemented
984#465—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465—731no—
990#465—731no—
991#465C2×D7311yescharacteristic, complemented
992#461—731no—
993#461—731no—
994#461—731no—
995#461—731no—
996#461—731no—
997#461—731no—
998#460—731no—
999#460—731no—
1000#460—731no—
1001#460—731no—
1002#460—731no—
1003#460C2×D7311yescharacteristic, complemented
1004#450—731no—
1005#450—731no—
1006#450—731no—
1007#450—731no—
1008#450C2×D7311yescharacteristic
1009#450C2×D7311yescharacteristic
1010#448—731no—
1011#448—731no—
1012#448—731no—
1013#448—731no—
1014#448—731no—
1015#448—731no—
1016#446—731no—
1017C8×Q8—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#440C2×D7311yescharacteristic
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16—731no—
1034C4×SD16—731no—
1035C4×SD16—731no—
1036C4×SD16—731no—
1037C4×SD16—731no—
1038C4×SD16—731no—
1039C4×SD16—731no—
1040C4×SD16—731no—
1041C4×SD16—731no—
1042C4×SD16—731no—
1043C4×SD16—731no—
1044C4×SD16—731no—
1045C4×SD16—731no—
1046#436—731no—
1047#435—731no—
1048#435C2×D7311yescharacteristic, complemented
1049C8×D4—731no—
1050C8×D4—731no—
1051C8×D4—731no—
1052#433—731no—
1053#433—731no—
1054#432—731no—
1055#427—731no—
1056#427—731no—
1057C2×#106—731no—
1058#419—731no—
1059#419—731no—
1060#418—731no—
1061#418C2×D7311yescharacteristic
1062C2×#103—731no—
1063C2×#102C2×D7311yescharacteristic
1064#405—731no—
1065#405—731no—
1066C2×C4×C8—731no—
1067C2×#41—1461no—
1068C2×#41—1461no—
1069C22×Q8—731no—
1070C22×Q8—731no—
1071C22×Q8—731no—
1072C22×D4—21no—
1073C22×D4—731no—
1074C22×D4—1461no—
1075C22×D4—1461no—
1076C22×D4C22×D7311yescharacteristic
1077C22×D4C22×D7311yescharacteristic
1078C23×C4—1461no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—731no—
1082C2×SD16—731no—
1083C2×SD16—731no—
1084C2×SD16—731no—
1085C2×SD16—731no—
1086C2×SD16—731no—
1087C2×SD16—731no—
1088C2×SD16—731no—
1089C2×SD16—731no—
1090C2×SD16—731no—
1091C2×SD16—731no—
1092C2×SD16—1464no—
1093C2×SD16—1464no—
1094C2×SD16—1464no—
1095C2×SD16C22×D7311yescharacteristic
1096C2×SD16C22×D7311yescharacteristic
1097C2×SD16C22×D7311yescharacteristic
1098C2×M16—731no—
1099C2×M16C22×D7311yescharacteristic
1100C22×C8—731no—
1101C22×C8—731no—
1102C22×C8—731no—
1103C22×C8C22×D7311yescharacteristic
1104C4⋊Q8—731no—
1105C4⋊Q8—731no—
1106C4⋊Q8—731no—
1107C4⋊Q8—731no—
1108C4⋊Q8—731no—
1109C4⋊Q8—1461no—
1110C4⋊Q8—1461no—
1111C4⋊Q8—1461no—
1112C4⋊Q8—1461no—
1113#127—731no—
1114#127—731no—
1115#127C22×D7311yescharacteristic
1116#126—21no—
1117#126—731no—
1118#126—731no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#126—1461no—
1127#126—1461no—
1128#125—21no—
1129#125—731no—
1130#125—731no—
1131#125—731no—
1132#125—731no—
1133#125—1461no—
1134#125—1461no—
1135#125—1461no—
1136#125—1461no—
1137#125—1461no—
1138#125—1461no—
1139#125—1461no—
1140#125—1461no—
1141#125—1461no—
1142#125—1461no—
1143#125—1461no—
1144#125C22×D7311yescharacteristic
1145#124—731no—
1146#124—1461no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#123—21no—
1151#123—731no—
1152#123—731no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159#123—1461no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—731no—
1164C22⋊Q8—731no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8—1461no—
1174C22⋊Q8—1461no—
1175C22⋊Q8C22×D7311yescharacteristic
1176C22⋊Q8C22×D7311yescharacteristic
1177#121—21no—
1178#121—731no—
1179#121—731no—
1180#121—731no—
1181#121—731no—
1182#121—731no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121—1461no—
1190#121—1461no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121C22×D7311yescharacteristic
1197#121C22×D7311yescharacteristic
1198#120—21no—
1199#120—21no—
1200#120—1461no—
1201#120—1461no—
1202#120—1461no—
1203#120—1461no—
1204C4×Q8—731no—
1205C4×Q8—731no—
1206C4×Q8—731no—
1207C4×Q8—731no—
1208C4×Q8—731no—
1209C4×Q8—731no—
1210C4×Q8—731no—
1211C4×Q8—731no—
1212C4×Q8—731no—
1213C4×Q8—731no—
1214C4×Q8—1461no—
1215C4×Q8—1461no—
1216C4×Q8—1461no—
1217C4×Q8—1461no—
1218C4×Q8—1461no—
1219C4×Q8—1461no—
1220C4×Q8—1461no—
1221C4×Q8—1461no—
1222C4×Q8—1461no—
1223C4×Q8—1461no—
1224C4×Q8C22×D7311yescharacteristic
1225C4×D4—731no—
1226C4×D4—731no—
1227C4×D4—731no—
1228C4×D4—731no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4C22×D7311yescharacteristic
1249C4×D4C22×D7311yescharacteristic
1250#117—21no—
1251#117—731no—
1252#117—731no—
1253#117—731no—
1254#117—731no—
1255#117—731no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117C22×D7311yescharacteristic
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—1461no—
1266C2×C4⋊C4—1461no—
1267C2×C4⋊C4C22×D7311yescharacteristic
1268C2×C22⋊C4—1461no—
1269C2×C22⋊C4—1461no—
1270C2×C22⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C42—731no—
1274C2×C42—1461no—
1275#107—731no—
1276#107—731no—
1277#107—731no—
1278#107—731no—
1279#107—731no—
1280#107—731no—
1281#107C22×D7311yescharacteristic
1282#107C22×D7311yescharacteristic
1283#106—731no—
1284#106—731no—
1285#106—731no—
1286#106—731no—
1287#106—731no—
1288#106—731no—
1289#106—731no—
1290#106C22×D7311yescharacteristic
1291C4⋊C8—731no—
1292C4⋊C8—731no—
1293C4⋊C8—731no—
1294C4⋊C8—731no—
1295C4⋊C8—731no—
1296C4⋊C8C22×D7311yescharacteristic
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#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103C22×D7311yescharacteristic
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102C22×D7311yescharacteristic
1321#102C22×D7311yescharacteristic
1322#102C22×D7311yescharacteristic
1323#102C22×D7311yescharacteristic
1324#102C22×D7311yescharacteristic
1325#102C22×D7311yescharacteristic
1326#102C22×D7311yescharacteristic
1327#102C22×D7311yescharacteristic
1328#102C22×D7311yescharacteristic
1329C22⋊C8—731no—
1330C22⋊C8—731no—
1331C22⋊C8—731no—
1332C22⋊C8—731no—
1333C22⋊C8C22×D7311yescharacteristic
1334C22⋊C8C22×D7311yescharacteristic
1335#97—731no—
1336#97—731no—
1337#97—731no—
1338#97C22×D7311yescharacteristic
1339C4×C8—731no—
1340C4×C8—731no—
1341C4×C8—731no—
1342C4×C8—731no—
1343C4×C8—731no—
1344C4×C8—731no—
1345C24—21no—
1346C24—21no—
1347C24—1461no—
1348#41—5842no—
1349#41—5842no—
1350C2×Q8—2921no—
1351C2×Q8—2921no—
1352C2×Q8—2921no—
1353C2×Q8—731no—
1354C2×Q8—731no—
1355C2×Q8—731no—
1356C2×Q8—731no—
1357C2×Q8—1462no—
1358C2×Q8—1462no—
1359C2×Q8—1461no—
1360C2×Q8—1461no—
1361C2×Q8—1461no—
1362C2×Q8—1462no—
1363C2×Q8—1461no—
1364C2×Q8—1461no—
1365C2×Q8C23×D7311yescharacteristic
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—82no—
1377C2×D4—2921no—
1378C2×D4—5842no—
1379C2×D4—5842no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—731no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1462no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4D4×D7311yescharacteristic
1394C2×D4C23×D7311yescharacteristic
1395C2×D4C23×D7311yescharacteristic
1396C2×D4C23×D7311yescharacteristic
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—5842no—
1400C22×C4—731no—
1401C22×C4—731no—
1402C22×C4—731no—
1403C22×C4—1461no—
1404C22×C4—1461no—
1405C22×C4—1461no—
1406C22×C4—1461no—
1407C22×C4—1461no—
1408C22×C4—1461no—
1409C22×C4—1461no—
1410C22×C4—1461no—
1411C22×C4—1461no—
1412C22×C4—1461no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4C23×D7311yescharacteristic
1417C22×C4C23×D7311yescharacteristic
1418SD16—22no—
1419SD16—41no—
1420SD16—41no—
1421SD16—2921no—
1422SD16—2921no—
1423SD16—2921no—
1424SD16—2921no—
1425SD16—734no—
1426SD16—1462no—
1427SD16—1462no—
1428SD16—1462no—
1429SD16—1462no—
1430SD16—1462no—
1431SD16—1462no—
1432SD16—1462no—
1433SD16—1462no—
1434M16—41no—
1435M16—2921no—
1436C2×C8—41no—
1437C2×C8—731no—
1438C2×C8—731no—
1439C2×C8—731no—
1440C2×C8—731no—
1441C2×C8—1462no—
1442C2×C8—1462no—
1443C2×C8—1462no—
1444C2×C8C23×D7311yescharacteristic
1445C2×C8C23×D7311yescharacteristic
1446C2×C8C23×D7311yescharacteristic
1447C2×C8C23×D7311yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—731no—
1455C4⋊C4—731no—
1456C4⋊C4—731no—
1457C4⋊C4—731no—
1458C4⋊C4—731no—
1459C4⋊C4—731no—
1460C4⋊C4—731no—
1461C4⋊C4—731no—
1462C4⋊C4—731no—
1463C4⋊C4—731no—
1464C4⋊C4—731no—
1465C4⋊C4—731no—
1466C4⋊C4—731no—
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⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4D4×D7311yescharacteristic
1496C4⋊C4C23×D7311yescharacteristic
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—731no—
1507C22⋊C4—731no—
1508C22⋊C4—731no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
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⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4D4×D7311yescharacteristic
1535C22⋊C4D4×D7311yescharacteristic
1536C42—21no—
1537C42—21no—
1538C42—731no—
1539C42—731no—
1540C42—731no—
1541C42—731no—
1542C42—731no—
1543C42—1461no—
1544C42—1461no—
1545C42—1461no—
1546C42—1461no—
1547C42—1461no—
1548C42—1461no—
1549C42—1461no—
1550C42—1461no—
1551C42—1461no—
1552C42—1461no—
1553C42—1461no—
1554C42—1461no—
1555C42C23×D7311yescharacteristic
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—42no—
1560C23—42no—
1561C23—42no—
1562C23—81no—
1563C23—81no—
1564C23—81no—
1565C23—2922no—
1566C23—5841no—
1567C23—5841no—
1568C23—731no—
1569C23—1461no—
1570C23C2×D4×D7311yescharacteristic
1571C23C2×D4×D7311yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—2922no—
1575Q8—2922no—
1576Q8—2922no—
1577Q8—2922no—
1578Q8—5841no—
1579Q8—732no—
1580Q8—1462no—
1581Q8—1461no—
1582Q8—1461no—
1583Q8—1461no—
1584Q8—1461no—
1585Q8—1461no—
1586D4—22no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—42no—
1593D4—42no—
1594D4—42no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—2922no—
1599D4—2922no—
1600D4—2922no—
1601D4—5841no—
1602D4—5841no—
1603D4—5841no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—1462no—
1608D4—1462no—
1609D4—1461no—
1610D4—1461no—
1611D4#41×D7312yes—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—42no—
1622C2×C4—81no—
1623C2×C4—2922no—
1624C2×C4—2922no—
1625C2×C4—2922no—
1626C2×C4—2922no—
1627C2×C4—2922no—
1628C2×C4—5841no—
1629C2×C4—5841no—
1630C2×C4—5841no—
1631C2×C4—5841no—
1632C2×C4—5841no—
1633C2×C4—5841no—
1634C2×C4—5841no—
1635C2×C4—5841no—
1636C2×C4—731no—
1637C2×C4—731no—
1638C2×C4—731no—
1639C2×C4—731no—
1640C2×C4—731no—
1641C2×C4—731no—
1642C2×C4—731no—
1643C2×C4—1461no—
1644C2×C4—1461no—
1645C2×C4—1461no—
1646C2×C4—1461no—
1647C2×C4—1461no—
1648C2×C4—1461no—
1649C2×C4—1462no—
1650C2×C4—1462no—
1651C2×C4—1461no—
1652C2×C4—1461no—
1653C2×C4—1461no—
1654C2×C4C2×D4×D7311yescharacteristic
1655C2×C4C2×D4×D7311yescharacteristic
1656C2×C4C2×D4×D7311yescharacteristic
1657C2×C4C2×D4×D7311yescharacteristic
1658C2×C4C24×D7311yescharacteristic
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—732no—
1664C8—1461no—
1665C8—1461no—
1666C8—1461no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—22no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—84no—
1682C22—162no—
1683C22—2921no—
1684C22—2921no—
1685C22—2921no—
1686C22—11682no—
1687C22—1461no—
1688C22—1461no—
1689C22—1461no—
1690C22#1798939712yes—
1691C22C22×D4×D7311yescharacteristic
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—2921no—
1702C4—2921no—
1703C4—2921no—
1704C4—2921no—
1705C4—2921no—
1706C4—2921no—
1707C4—732no—
1708C4—1461no—
1709C4—1461no—
1710C4—1461no—
1711C4—1461no—
1712C4—1461no—
1713C4—1462no—
1714C4—1461no—
1715C4C2×#41×D7311yescharacteristic
1716C4#1798942211yescharacteristic
1717C2—22no—
1718C2—41no—
1719C2—42no—
1720C2—81no—
1721C2—81no—
1722C2—2921no—
1723C2—5841no—
1724C2#2262341511yescharacteristic
1725C2#577×D7311yescharacteristic
1726C2C2×#1798939711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3310C2
socleC22×C73C23×D4
prime radical#22623950C2
hypercenter#3310D73
hypocenterC73#61481
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #22624020C2semidirect
3. #22622911C2semidirect
4. #22622801C2semidirect
5. #22622713C2semidirect
6. #22622657C2semidirect
7. #22622342C2semidirect
8. #22622314C2semidirect
9. #22622310C2semidirect
10. #22622220C2semidirect
11. #22622158C2semidirect
12. #22622108C2semidirect
13. #22622104C2semidirect
14. #22621948C2semidirect
15. #22621625C2semidirect
16. #22621625C2semidirect
17. D4×#11924016C2semidirect
18. #22620558C2semidirect
19. #22620554C2semidirect
20. #22620485C2semidirect
21. #22620220C2semidirect
22. #22620218C2semidirect
23. #22620185C2semidirect
24. #22620177C2semidirect
25. #22620050C2semidirect
26. #22620025C2semidirect
27. #22618901C2semidirect
28. #22618793C2semidirect
29. #22618787C2semidirect
30. C2×#17988678C2semidirect
31. C73×#3310C2semidirect
35. #17989315C22semidirect
37. #17989314C22semidirect
38. #17989305C22semidirect
46. #17989272C22semidirect
49. D4×Dic146C22semidirect
50. #17989250C22semidirect
51. #17989250C22semidirect
57. #17989200C22semidirect
58. #17989197C22semidirect
66. #17989139C22semidirect
72. #17989064C22semidirect
73. #17989063C22semidirect
76. C2×#14556556C22semidirect
78. #17988988C22semidirect
79. #17988986C22semidirect
80. #17988984C22semidirect
81. #17988959C22semidirect
82. #17988958C22semidirect
83. #17988958C22semidirect
84. #17988956C22semidirect
85. #17988954C22semidirect
86. #17988950C22semidirect
87. #17988936C22semidirect
88. #17988932C22semidirect
89. #17988931C22semidirect
90. #17988930C22semidirect
91. #17988929C22semidirect
92. #17988925C22semidirect
93. #17988923C22semidirect
94. #17988920C22semidirect
95. #17988911C22semidirect
96. #17988910C22semidirect
97. #17988909C22semidirect
98. #17988900C22semidirect
99. #17988897C22semidirect
100. #17988895C22semidirect
101. #17988894C22semidirect
102. #17988893C22semidirect
104. #17988885C22semidirect
105. #17988884C22semidirect
106. #17988881C22semidirect
107. #17988881C22semidirect
109. #17988865C22semidirect
110. #17988833C22semidirect
111. #17988832C22semidirect
112. #17988832C22semidirect
113. #17988818C22semidirect
114. #17988818C22semidirect
115. #17988816C22semidirect
116. #17988815C22semidirect
117. #17988815C22semidirect
118. #17988814C22semidirect
119. #17988814C22semidirect
120. #17988793C22semidirect
124. #17988790C22semidirect
125. #17988790C22semidirect
126. #17988786C22semidirect
127. #17988786C22semidirect
128. #17988786C22semidirect
129. #17988786C22semidirect
130. #17988784C22semidirect
135. #17988728C22semidirect
136. #17988728C22semidirect
137. #17988725C22semidirect
138. #17988725C22semidirect
139. #17988724C22semidirect
140. #17988724C22semidirect
141. #17988715C22semidirect
142. #17988711C22semidirect
143. #17988689C22semidirect
145. #17988688C22semidirect
146. #17988686C22semidirect
147. #17988686C22semidirect
150. #17988684C22semidirect
151. #17988684C22semidirect
152. #17988684C22semidirect
153. #17988684C22semidirect
159. #17988678C22semidirect
160. #17988678C22semidirect
161. #17988678C22semidirect
162. #17988678C22semidirect
163. #17988678C22semidirect
164. #17988678C22semidirect
165. SD16×Dic73C22semidirect
166. C4×#11924015C22semidirect
167. #17988674C22semidirect
169. #17988672C22semidirect
170. #17988663C22semidirect
171. #17988658C22semidirect
172. D4×#10596831C22semidirect
173. #17988650C22semidirect
174. #17988650C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988641C22semidirect
178. #17988624C22semidirect
179. #17988623C22semidirect
180. C2×#14556522C22semidirect
181. #17988597C22semidirect
182. #17988594C22semidirect
184. C2×#14556516C22semidirect
185. #17988545C22semidirect
186. #17988544C22semidirect
187. C2×C8×Dic73C22semidirect
188. #552×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #480×C73C22semidirect
194. #468×C73C22semidirect
195. #465×C73C22semidirect
196. #460×C73C22semidirect
200. #435×C73C22semidirect
543. #11924016#41semidirect
878. #3310D73semidirect
895. C73#61481semidirect
912. #552C2×D73semidirect
953. #490C2×D73semidirect
965. #482C2×D73semidirect
967. #480C2×D73semidirect
983. #468C2×D73semidirect
991. #465C2×D73semidirect
1003. #460C2×D73semidirect
1048. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240202
#226239502
#226229112
#226228012
#226227132
#226226572
#226223422
#226223142
#226223102
#226222202
#226221582
#226221082
#226221042
#226219482
#226216252
D4×#119240162
#226205582
#226205542
#226204852
#226202202
#226202182
#226201852
#226201772
#226200502
#226200252
#226189012
#226187932
#226187872
C2×#179886782
C73×#33102
#6148173