Finite Group Databasebeta

← #30572155

Subgroups — #30572155

Order 15616.

1942 conjugacy classes of subgroups.

The subgroup lattice has 1804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459687C211yesmaximal, characteristic, complemented
2#21459384C211yesmaximal, characteristic, complemented
3#21458816C211yesmaximal, characteristic, complemented
4#21458810C211yesmaximal, characteristic, complemented
5#21458482C211yesmaximal, characteristic, complemented
6#21458476C211yesmaximal, characteristic, complemented
7#21457767C211yesmaximal, characteristic, complemented
8#21457765C211yesmaximal, characteristic, complemented
9#21457652C211yesmaximal, characteristic, complemented
10#21457650C211yesmaximal, characteristic, complemented
11#21457648C211yesmaximal, characteristic, complemented
12#21457546C211yesmaximal, characteristic, complemented
13#21457542C211yesmaximal, characteristic, complemented
14#21457506C211yesmaximal, characteristic, complemented
15#21457501C211yesmaximal, characteristic, complemented
16#21457500C211yesmaximal, characteristic, complemented
17#21457497C211yesmaximal, characteristic, complemented
18#21457160C211yesmaximal, characteristic, complemented
19#21457144C211yesmaximal, characteristic, complemented
20#21457140C211yesmaximal, characteristic, complemented
21#21456798C211yesmaximal, characteristic, complemented
22#21456796C211yesmaximal, characteristic, complemented
23#21456758C211yesmaximal, characteristic, complemented
24#21455877C211yesmaximal, characteristic, complemented
25#21455874C211yesmaximal, characteristic, complemented
26#21455824C211yesmaximal, characteristic, complemented
27#21455273C211yesmaximal, characteristic, complemented
28#21455272C211yesmaximal, characteristic, complemented
29C2×#16839956C211yesmaximal, characteristic, complemented
30#21454926C211yesmaximal, characteristic, complemented
31C61×#3296C211yesmaximal, characteristic, complemented
32C2×#14519800C2211yescharacteristic, complemented
33C2×#14519799C2211yescharacteristic, complemented
34C2×#14519798C2211yescharacteristic, complemented
35C2×#14519797C2211yescharacteristic, complemented
36C22×D488C2211yescharacteristic
37C22×#11758199C2211yescharacteristic
38#16840496—21no—
39#16840495C2211yescharacteristic, complemented
40#16840494C2211yescharacteristic, complemented
41#16840484C2211yescharacteristic, complemented
42#16840475C2211yescharacteristic, complemented
43#16840468C2211yescharacteristic, complemented
44#16840463—21no—
45#16840447C2211yescharacteristic
46#16840444—21no—
47#16840436—21no—
48#16840435—21no—
49#16840431C2211yescharacteristic, complemented
50#16840430—21no—
51#16840430C2211yescharacteristic, complemented
52#16840414C2211yescharacteristic, complemented
53#16840408C2211yescharacteristic
54#16840408C2211yescharacteristic
55#16840406C2211yescharacteristic
56#16840403C2211yescharacteristic
57#16840403C2211yescharacteristic
58#16840402—21no—
59#16840399—21no—
60#16840364—21no—
61#16840362—21no—
62#16840327—21no—
63#16840314C2211yescharacteristic
64#16840314C2211yescharacteristic
65#16840311C2211yescharacteristic, complemented
66#16840309C2211yescharacteristic, complemented
67#16840308C2211yescharacteristic, complemented
68#16840307C2211yescharacteristic, complemented
69C2×#14519773C2211yescharacteristic
70#16840298C2211yescharacteristic, complemented
71#16840297—21no—
72#16840297C2211yescharacteristic, complemented
73#16840295—21no—
74#16840270—21no—
75#16840235—21no—
76C4×#11758226C2211yescharacteristic, complemented
77#16840230C2211yescharacteristic, complemented
78C4×#11758224C2211yescharacteristic
79C2×#14519739C2211yescharacteristic
80#117×D61—21no—
81#16840147C2211yescharacteristic, complemented
82#16840146C2211yescharacteristic, complemented
83#16840144C2211yescharacteristic, complemented
84#16840143C2211yescharacteristic, complemented
85#16840133C2211yescharacteristic, complemented
86#16840133C2211yescharacteristic, complemented
87#16840119C2211yescharacteristic, complemented
88#16840118C2211yescharacteristic, complemented
89#16840115C2211yescharacteristic, complemented
90#16840107C2211yescharacteristic, complemented
91#16840107C2211yescharacteristic, complemented
92#16840092C2211yescharacteristic
93#16840088C2211yescharacteristic, complemented
94#16840086C2211yescharacteristic, complemented
95#16840084C2211yescharacteristic, complemented
96#16840061C2211yescharacteristic, complemented
97#16840060C2211yescharacteristic, complemented
98#16840059C2211yescharacteristic, complemented
99#16840056C2211yescharacteristic, complemented
100#16840056C2211yescharacteristic, complemented
101#16840055C2211yescharacteristic, complemented
102#16840055C2211yescharacteristic, complemented
103#16840051C2211yescharacteristic, complemented
104#16840051C2211yescharacteristic, complemented
105#16840003C2211yescharacteristic
106#16840001C2211yescharacteristic
107#16840001C2211yescharacteristic
108#16839999C2211yescharacteristic, complemented
109#16839998C2211yescharacteristic, complemented
110#16839997C2211yescharacteristic, complemented
111#16839996C2211yescharacteristic, complemented
112#16839993C2211yescharacteristic, complemented
113#16839992C2211yescharacteristic, complemented
114#16839990C2211yescharacteristic, complemented
115#16839987C2211yescharacteristic, complemented
116#16839984C2211yescharacteristic, complemented
117#16839983C2211yescharacteristic, complemented
118#16839980C2211yescharacteristic, complemented
119#16839980C2211yescharacteristic, complemented
120#16839979C2211yescharacteristic, complemented
121#16839978C2211yescharacteristic, complemented
122#16839978C2211yescharacteristic, complemented
123#16839977C2211yescharacteristic, complemented
124#16839976C2211yescharacteristic, complemented
125#16839974C2211yescharacteristic, complemented
126#16839971C2211yescharacteristic, complemented
127#16839971C2211yescharacteristic, complemented
128#16839970C2211yescharacteristic, complemented
129#16839970C2211yescharacteristic, complemented
130#16839966C2211yescharacteristic, complemented
131#16839966C2211yescharacteristic, complemented
132#16839961C2211yescharacteristic, complemented
133#16839961C2211yescharacteristic, complemented
134#16839960C2211yescharacteristic, complemented
135#16839960C2211yescharacteristic, complemented
136#16839956C2211yescharacteristic
137#16839956C2211yescharacteristic
138#16839956C2211yescharacteristic
139#16839956C2211yescharacteristic
140#16839956C2211yescharacteristic
141#16839956C2211yescharacteristic
142#16839956C2211yescharacteristic
143#16839956C2211yescharacteristic
144#16839927C2211yescharacteristic, complemented
145#16839925C2211yescharacteristic, complemented
146#16839922C2211yescharacteristic, complemented
147#16839915C2211yescharacteristic
148#16839915C2211yescharacteristic
149#16839913C2211yescharacteristic
150#16839912C2211yescharacteristic
151#16839912C2211yescharacteristic
152#16839910C2211yescharacteristic, complemented
153#16839910C2211yescharacteristic, complemented
154#16839909C2211yescharacteristic, complemented
155#16839909C2211yescharacteristic, complemented
156#16839908C2211yescharacteristic, complemented
157#16839907C2211yescharacteristic, complemented
158#16839906C2211yescharacteristic, complemented
159#16839905C2211yescharacteristic, complemented
160C8×Dic122C2211yescharacteristic, complemented
161#16839886C2211yescharacteristic, complemented
162#16839853C2211yescharacteristic, complemented
163C4×#11758201C2211yescharacteristic, complemented
164#16839849C2211yescharacteristic, complemented
165#16839849C2211yescharacteristic, complemented
166#16839849C2211yescharacteristic, complemented
167#16839847C2211yescharacteristic, complemented
168#16839847C2211yescharacteristic, complemented
169C4×D488C2211yescharacteristic, complemented
170#16839844C2211yescharacteristic, complemented
171C4×#11758199C2211yescharacteristic, complemented
172#16839842C2211yescharacteristic, complemented
173D4×#92418C2211yescharacteristic
174C8×C22⋊D61C2211yescharacteristic
175C8×C22⋊D61C2211yescharacteristic, complemented
176#16839825C2211yescharacteristic
177#16839825C2211yescharacteristic, complemented
178#16839813C2211yescharacteristic, complemented
179#16839812C2211yescharacteristic
180#16839812C2211yescharacteristic, complemented
181C2×#14519706C2211yescharacteristic
182C2×#14519706C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839757C2211yescharacteristic, complemented
185#16839756C2211yescharacteristic, complemented
186#16839755C2211yescharacteristic, complemented
187C2×#14519697C2211yescharacteristic
188C61×#552C2211yescharacteristic
189C61×#546C2211yescharacteristic
190C61×#488C2211yescharacteristic, complemented
191C61×#483C2211yescharacteristic
192C61×#482C2211yescharacteristic, complemented
193C61×#478C2211yescharacteristic, complemented
194C61×#467C2211yescharacteristic
195C61×#465C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#450C2211yescharacteristic
199C4×SD16×C61C2211yescharacteristic, complemented
200C8×D4×C61C2211yescharacteristic
201C61×#416C2211yescharacteristic, complemented
202C2×#102×C61C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222C2311yescharacteristic
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209C2×#11758224D411yescharacteristic
210C2×#11758224C2311yescharacteristic
211C22×D244C2311yescharacteristic
212C22×D244C2311yescharacteristic
213C22×C22⋊D61—21no—
214C22×C22⋊D61—21no—
215C22×C4×D61—21no—
216#14519800—42no—
217#14519799—42no—
218#14519798—42no—
219#14519797—42no—
220C2×Dic244C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×#11758201C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×D488—42no—
234C2×D488C2311yescharacteristic
235C2×D488C2311yescharacteristic
236C2×D488C2311yescharacteristic
237C2×D488C2311yescharacteristic
238C2×#11758199—42no—
239C2×#11758199C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241C2×#11758199C2311yescharacteristic
242C2×#11758199C2311yescharacteristic
243C22×#92418C2311yescharacteristic
244C22×#92418C2311yescharacteristic
245C2×C8×D61C2311yescharacteristic
246C2×C8×D61C2311yescharacteristic
247#14519776C2311yescharacteristic
248#14519776C2311yescharacteristic
249#14519775C2311yescharacteristic
250#14519775C2311yescharacteristic
251#14519773—21no—
252#14519773—21no—
253#14519773—21no—
254#14519773—21no—
255#14519773C2311yescharacteristic
256#14519773C2311yescharacteristic
257#14519773C2311yescharacteristic
258#14519773C2311yescharacteristic
259#14519772—21no—
260#14519772—21no—
261#14519772—21no—
262#14519772—21no—
263#14519771—21no—
264#14519768C2311yescharacteristic
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519766C2311yescharacteristic
269#14519766C2311yescharacteristic
270#14519765—21no—
271#14519765C2311yescharacteristic
272#14519765C2311yescharacteristic
273#14519764C2311yescharacteristic
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519762—21no—
285#14519761—21no—
286#14519761—21no—
287#14519760—21no—
288#14519760—21no—
289#14519759—21no—
290#14519759—21no—
291#14519759—21no—
292#14519758—21no—
293#14519757—21no—
294#14519757C2311yescharacteristic
295#14519756C2311yescharacteristic
296#14519756C2311yescharacteristic
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519754—21no—
301#14519754—21no—
302#14519752—21no—
303#14519752—21no—
304#14519752C2311yescharacteristic
305#14519752C2311yescharacteristic
306#14519751—21no—
307#14519751C2311yescharacteristic
308#14519751C2311yescharacteristic
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519750—21no—
316#14519750—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749—21no—
321#14519749—21no—
322#14519748—21no—
323#14519748C2311yescharacteristic
324#14519747—21no—
325#14519747—21no—
326#14519746—21no—
327#14519745—21no—
328#14519745—21no—
329Q8×Dic61C2311yescharacteristic
330Q8×Dic61C2311yescharacteristic
331C4×Dic122C2311yescharacteristic
332#14519742—21no—
333#14519742—21no—
334#14519742D411yescharacteristic
335#14519742C2311yescharacteristic
336#14519742C2311yescharacteristic
337#14519742C2311yescharacteristic
338C4×D244—21no—
339C4×D244C2311yescharacteristic
340C4×D244C2311yescharacteristic
341D4×Dic61D411yescharacteristic
342D4×Dic61C2311yescharacteristic
343#14519739—21no—
344#14519739—21no—
345#14519739—21no—
346#14519739—21no—
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349#14519739C2311yescharacteristic
350#14519739C2311yescharacteristic
351#14519739C2311yescharacteristic
352#14519739C2311yescharacteristic
353C4×C22⋊D61—21no—
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358C4×C22⋊D61C2311yescharacteristic
359C4×C22⋊D61C2311yescharacteristic
360#14519737—21no—
361#14519737—21no—
362#14519737—21no—
363#14519737—21no—
364#14519737—21no—
365#14519737—21no—
366#14519737—21no—
367#14519737—21no—
368#14519737D411yescharacteristic
369#14519737D411yescharacteristic
370#14519736—21no—
371#14519735—21no—
372#14519735—21no—
373#14519735—21no—
374#14519735D411yescharacteristic
375#14519735C2311yescharacteristic
376#14519734—21no—
377#14519734—21no—
378#14519734—21no—
379#14519733—21no—
380#14519733—21no—
381#14519733D411yescharacteristic
382#14519733D411yescharacteristic
383C4⋊C4×D61—21no—
384C4⋊C4×D61—21no—
385C2×C22⋊Dic61—21no—
386C2×#11758198—21no—
387C22⋊C4×D61—21no—
388C22⋊C4×D61—21no—
389C22⋊C4×D61—21no—
390C22⋊C4×D61—21no—
391C2×C4×Dic61C2311yescharacteristic
392C2×C4×Dic61C2311yescharacteristic
393C42×D61—21no—
394C42×D61—21no—
395C42×D61C2311yescharacteristic
396#14519711C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436C4×#92418C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C22×D4×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C22×C8×C61C2311yescharacteristic
448#126×C61—21no—
449#125×C61—21no—
450#125×C61C2311yescharacteristic
451#124×C61C2311yescharacteristic
452#123×C61—21no—
453#123×C61—21no—
454C22⋊Q8×C61C2311yescharacteristic
455C22⋊Q8×C61C2311yescharacteristic
456C22⋊Q8×C61C2311yescharacteristic
457#121×C61—21no—
458#121×C61C2311yescharacteristic
459#120×C61—21no—
460C4×Q8×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462C4×D4×C61C2311yescharacteristic
463#117×C61—21no—
464#117×C61C2311yescharacteristic
465C2×C4⋊C4×C61C2311yescharacteristic
466C2×C22⋊C4×C61—21no—
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C24×C61—21no—
485C23×D61—21no—
486C23×D61—21no—
487#41×C61—41no—
488#41×C61—41no—
489C2×Q8×C61C2411yescharacteristic
490C2×Q8×C61C2411yescharacteristic
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—41no—
495C2×D4×C61—41no—
496C2×D4×C61C2×D411yescharacteristic
497C2×D4×C61C2411yescharacteristic
498C2×D4×C61C2411yescharacteristic
499C22×C4×C61—21no—
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61C2411yescharacteristic
503C22×C4×C61C2411yescharacteristic
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—44no—
519C2×C22⋊D61—82no—
520C2×C22⋊D61C2×D411yescharacteristic
521C2×C22⋊D61C2×D411yescharacteristic
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61C2×D411yescharacteristic
525C22×Dic61C2×D411yescharacteristic
526C22×Dic61C2×D411yescharacteristic
527C22×Dic61C2×D411yescharacteristic
528#11758226—22no—
529#11758226—41no—
530#11758226—41no—
531#11758226—41no—
532#11758224—24no—
533#11758224—41no—
534#11758224—41no—
535#11758224—82no—
536#11758222—22no—
537#11758222—41no—
538#11758222—41no—
539#11758222—41no—
540#11758222—82no—
541C2×D244—22no—
542C2×D244—21no—
543C2×D244—21no—
544C2×D244—21no—
545C2×D244—21no—
546C2×D244—21no—
547C2×D244—21no—
548C2×D244—41no—
549C2×D244—41no—
550C2×D244—41no—
551C2×D244C2411yescharacteristic
552C2×D244C2411yescharacteristic
553C2×D244C2411yescharacteristic
554C2×D244C2411yescharacteristic
555C2×C4×D61—21no—
556C2×C4×D61—21no—
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61—21no—
565C2×C4×D61—21no—
566C2×C4×D61—21no—
567C2×C4×D61—44no—
568C2×C4×D61C2×D411yescharacteristic
569C2×C4×D61C2×D411yescharacteristic
570C2×C4×D61C2411yescharacteristic
571C2×Dic122—21no—
572C2×Dic122—21no—
573C2×Dic122C2×D411yescharacteristic
574C2×Dic122C2411yescharacteristic
575C2×Dic122C2411yescharacteristic
576Q16×C61—41no—
577SD16×C61—41no—
578SD16×C61—41no—
579C2×C8×C61—41no—
580C2×C8×C61—41no—
581C2×C8×C61C2411yescharacteristic
582C2×C8×C61C2411yescharacteristic
583C2×C8×C61C2411yescharacteristic
584C2×C8×C61C2411yescharacteristic
585C4⋊C4×C61—21no—
586C4⋊C4×C61—21no—
587C4⋊C4×C61—21no—
588C4⋊C4×C61—21no—
589C4⋊C4×C61—21no—
590C4⋊C4×C61—21no—
591C4⋊C4×C61—21no—
592C4⋊C4×C61C2×D411yescharacteristic
593C4⋊C4×C61C2411yescharacteristic
594C4⋊C4×C61C2411yescharacteristic
595C4⋊C4×C61C2411yescharacteristic
596C4⋊C4×C61C2411yescharacteristic
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61—21no—
602C22⋊C4×C61—21no—
603C22⋊C4×C61—21no—
604C22⋊C4×C61—21no—
605C22⋊C4×C61C2×D411yescharacteristic
606C22⋊C4×C61C2×D411yescharacteristic
607C42×C61—21no—
608C42×C61—21no—
609C42×C61C2411yescharacteristic
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61—21no—
615C22⋊Dic61—21no—
616C22⋊Dic61C2×D411yescharacteristic
617C22⋊Dic61C2×D411yescharacteristic
618#11758202—41no—
619#11758202—41no—
620#11758201—22no—
621#11758201—41no—
622#11758201—41no—
623#11758201—41no—
624#11758200—41no—
625#11758200—41no—
626#11758199—22no—
627#11758199—22no—
628#11758199—41no—
629#11758199—41no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198C2×D411yescharacteristic
653#11758198C2×D411yescharacteristic
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61—21no—
657C4⋊Dic61—21no—
658C4⋊Dic61C2×D411yescharacteristic
659C4⋊Dic61C2411yescharacteristic
660C4⋊Dic61C2411yescharacteristic
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61C2×D411yescharacteristic
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2×D411yescharacteristic
687C4×Dic61C2×D411yescharacteristic
688C4×Dic61C2×D411yescharacteristic
689C4×Dic61C2411yescharacteristic
690C4×Dic61C2411yescharacteristic
691C4×Dic61C2411yescharacteristic
692C2×#92418—41no—
693C2×#92418—41no—
694C2×#92418C2411yescharacteristic
695C2×#92418C2411yescharacteristic
696C2×#92418C2411yescharacteristic
697C2×#92418C2411yescharacteristic
698Dic244—41no—
699D488—22no—
700D488—22no—
701D488—41no—
702D488—41no—
703#11758190—22no—
704#11758190—41no—
705#11758190—41no—
706#11758190—41no—
707C8×D61—41no—
708C8×D61—41no—
709C23×C61—21no—
710C23×C61—21no—
711C23×C61—42no—
712C23×C61—81no—
713C23×C61—81no—
714C23×C61C22×D411yescharacteristic
715C23×C61C22×D411yescharacteristic
716C22×D61—21no—
717C22×D61—21no—
718C22×D61—21no—
719C22×D61—21no—
720C22×D61—42no—
721C22×D61—42no—
722C22×D61—42no—
723C22×D61—81no—
724C22×D61—81no—
725C22×D61—81no—
726C22×D61C22×D411yescharacteristic
727Q8×C61—21no—
728Q8×C61—21no—
729Q8×C61—21no—
730Q8×C61—21no—
731D4×C61—22no—
732D4×C61—21no—
733D4×C61—21no—
734D4×C61—21no—
735D4×C61—21no—
736D4×C61—81no—
737D4×C61—81no—
738D4×C61—81no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—42no—
750C2×C4×C61—81no—
751C2×C4×C61—81no—
752C2×C4×C61C22×D411yescharacteristic
753C2×C4×C61C22×D411yescharacteristic
754C2×C4×C61C22×D411yescharacteristic
755C2×C4×C61C22×D411yescharacteristic
756C2×C4×C61C2511yescharacteristic
757C22⋊D61—22no—
758C22⋊D61—22no—
759C22⋊D61—42no—
760C22⋊D61—42no—
761C22⋊D61—42no—
762C22⋊D61—42no—
763C22⋊D61—42no—
764C22⋊D61—42no—
765C22⋊D61—42no—
766C22⋊D61—81no—
767C22⋊D61—81no—
768C22⋊D61—81no—
769C22⋊D61—81no—
770C22⋊D61—81no—
771C22⋊D61—81no—
772C22⋊D61—81no—
773C2×Dic61—22no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—41no—
779C2×Dic61—41no—
780C2×Dic61—81no—
781C2×Dic61—81no—
782C2×Dic61#13514yescomplemented
783C2×Dic61C22×D411yescharacteristic
784C2×Dic61C22×D411yescharacteristic
785C2×Dic61C22×D411yescharacteristic
786C2×Dic61C22×D411yescharacteristic
787C2×Dic61C22×D411yescharacteristic
788C2×Dic61C22×D411yescharacteristic
789C2×Dic61C22×D411yescharacteristic
790D244—21no—
791D244—21no—
792D244—21no—
793D244—21no—
794D244—21no—
795D244—21no—
796D244—21no—
797D244—42no—
798D244—42no—
799D244—81no—
800D244—81no—
801D244—81no—
802D244—81no—
803D244H(5,𝔽2)12yes—
804C4×D61—21no—
805C4×D61—21no—
806C4×D61—22no—
807C4×D61—41no—
808C4×D61—42no—
809C4×D61—42no—
810C4×D61—42no—
811C4×D61—42no—
812C4×D61—42no—
813C4×D61—42no—
814C4×D61—81no—
815C4×D61—81no—
816C4×D61—81no—
817C4×D61—81no—
818C4×D61—81no—
819C4×D61—81no—
820Dic122—22no—
821Dic122—21no—
822Dic122—21no—
823Dic122—21no—
824Dic122—21no—
825Dic122—42no—
826Dic122—81no—
827C8×C61—21no—
828C8×C61—21no—
829C8×C61—21no—
830C8×C61—21no—
831#92418—21no—
832#92418—21no—
833#92418—21no—
834#92418—21no—
835#61949—611nomaximal, Sylow
836C22×C61—21no—
837C22×C61—21no—
838C22×C61—21no—
839C22×C61—21no—
840C22×C61—21no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61—41no—
845C22×C61—41no—
846C22×C61—41no—
847C22×C61—162no—
848C22×C61C2×#13512yes—
849C22×C61C23×D411yescharacteristic
850C2×D61—21no—
851C2×D61—21no—
852C2×D61—22no—
853C2×D61—21no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—41no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—84no—
866C2×D61—162no—
867C4×C61—21no—
868C4×C61—21no—
869C4×C61—21no—
870C4×C61—21no—
871C4×C61—41no—
872C4×C61—41no—
873C4×C61—41no—
874C4×C61—41no—
875C4×C61—41no—
876C4×C61—41no—
877C4×C61C2×H(5,𝔽2)11yescharacteristic
878C4×C61#58511yescharacteristic
879Dic61—21no—
880Dic61—21no—
881Dic61—21no—
882Dic61—21no—
883Dic61—21no—
884Dic61—41no—
885Dic61—41no—
886Dic61—41no—
887Dic61—41no—
888Dic61C2×#13512yes—
889Dic61C2×#13512yes—
890#3508—611no—
891#3475—611no—
892#3394—611no—
893#3394—611no—
894#3361—611no—
895#3361—611no—
896#3305—611no—
897#3305—611no—
898#3296—611no—
899#3296—611no—
900#3296—611no—
901#3296D6111yescharacteristic, complemented
902#3284—611no—
903#3284—611no—
904#3280—611no—
905#3280—611no—
906#3280—611no—
907#3280—611no—
908#3249—611no—
909#3247—611no—
910#3247—611no—
911#3212—611no—
912#3212—611no—
913#3208—611no—
914#3106—611no—
915#3106—611no—
916#3101—611no—
917#3035—611no—
918#3035—611no—
919C2×#459—611no—
920#2988—611no—
921C2×C61—22no—
922C2×C61—41no—
923C2×C61—81no—
924C2×C61—81no—
925C2×C61#348811yescharacteristic
926C2×C61C22×#13511yescharacteristic
927C2×C61#358511yescharacteristic
928D61—41no—
929D61—42no—
930D61—81no—
931D61—81no—
932D61—81no—
933C2×#135—611no—
934C2×#135—611no—
935C2×#135—611no—
936C2×#135—611no—
937C22×D8—611no—
938C22×D8—611no—
939#559—611no—
940#559—611no—
941#559—1221no—
942#556—611no—
943#555—611no—
944#554—611no—
945#553—1221no—
946#552—611no—
947#552—1221no—
948#552C2×D6111yescharacteristic
949#551—1221no—
950#551—1221no—
951#550—611no—
952#550—611no—
953#550—1221no—
954#547—611no—
955#546—611no—
956#546—611no—
957#546—611no—
958#546—611no—
959#546—611no—
960#546—1221no—
961#546—1221no—
962#546C2×D6111yescharacteristic
963#540—1221no—
964#540—1221no—
965#535—1221no—
966#533—611no—
967#533—611no—
968#532—611no—
969#532—611no—
970#532—611no—
971#532—611no—
972C2×#127—611no—
973#529—611no—
974#529—611no—
975#529—1221no—
976#529—1221no—
977#525—1221no—
978#518—1221no—
979C4×#41—611no—
980C4×#41—611no—
981C4×#41—611no—
982C2×C4×D4—611no—
983C2×#117—1221no—
984#495—611no—
985#495—611no—
986#495—611no—
987#495—611no—
988#492—611no—
989#492—611no—
990#488—611no—
991#488—611no—
992#488—611no—
993#488C2×D6111yescharacteristic, complemented
994#486—611no—
995#486—611no—
996#483—611no—
997#483C2×D6111yescharacteristic
998#482—611no—
999#482—611no—
1000#482—611no—
1001#482C2×D6111yescharacteristic, complemented
1002#478—611no—
1003#478—611no—
1004#478—611no—
1005#478C2×D6111yescharacteristic, complemented
1006#477—611no—
1007#477—611no—
1008#477—611no—
1009#477—611no—
1010#476—611no—
1011#476—611no—
1012#467—611no—
1013#467—611no—
1014#467—611no—
1015#467C2×D6111yescharacteristic
1016#466—611no—
1017#466—611no—
1018#466—611no—
1019#466—611no—
1020#465—611no—
1021#465—611no—
1022#465—611no—
1023#465C2×D6111yescharacteristic, complemented
1024#464—611no—
1025#464—611no—
1026#464—611no—
1027#464C2×D6111yescharacteristic, complemented
1028#463—611no—
1029#463—611no—
1030#463—611no—
1031#463—611no—
1032#463—611no—
1033#463—611no—
1034#463—611no—
1035#463—611no—
1036#462—611no—
1037#462—611no—
1038#462—611no—
1039#462—611no—
1040#461—611no—
1041#461—611no—
1042#460—611no—
1043#460—611no—
1044#460—611no—
1045#460—611no—
1046#459—611no—
1047#459—611no—
1048#459—611no—
1049#459—611no—
1050#459—611no—
1051#459—611no—
1052#459—611no—
1053#459—611no—
1054#452—611no—
1055#452—611no—
1056#452—611no—
1057#452C2×D6111yescharacteristic, complemented
1058#450—611no—
1059#450—611no—
1060#450—611no—
1061#450—611no—
1062#450—611no—
1063#450C2×D6111yescharacteristic
1064#449—611no—
1065#449—611no—
1066#449—611no—
1067#449—611no—
1068#449—611no—
1069#449—611no—
1070#449—611no—
1071#449—611no—
1072C8×Q8—611no—
1073C8×Q8—611no—
1074C4×SD16—611no—
1075C4×SD16—611no—
1076C4×SD16—611no—
1077C4×SD16—611no—
1078C4×SD16—611no—
1079C4×SD16—611no—
1080C4×SD16—611no—
1081C4×SD16C2×D6111yescharacteristic, complemented
1082C4×D8—611no—
1083C4×D8—611no—
1084C4×D8—611no—
1085C4×D8—611no—
1086C8×D4—611no—
1087C8×D4—611no—
1088C8×D4—611no—
1089C8×D4—611no—
1090C8×D4—611no—
1091C8×D4C2×D6111yescharacteristic
1092#431—611no—
1093#431—611no—
1094#431—611no—
1095C2×C4⋊C8—611no—
1096C2×C4⋊C8—611no—
1097C2×C4⋊C8—611no—
1098#416—611no—
1099#416—611no—
1100#416—611no—
1101#416C2×D6111yescharacteristic, complemented
1102C2×#102—611no—
1103C2×#102C2×D6111yescharacteristic
1104C61#6194911yescharacteristic, complemented, Sylow
1105C2×#41—611no—
1106C2×#41—611no—
1107C2×#41—611no—
1108C2×#41—611no—
1109C2×#41—611no—
1110C2×#41—611no—
1111C2×#41—1221no—
1112C2×#41—1221no—
1113C2×#41C22×D6111yescharacteristic
1114C22×D4—611no—
1115C22×D4—611no—
1116C22×D4—1221no—
1117C22×D4—1221no—
1118C22×D4C22×D6111yescharacteristic
1119C23×C4—1221no—
1120#135—2442no—
1121#135—2442no—
1122#135—2442no—
1123#135—2442no—
1124C2×Q16—611no—
1125C2×Q16—611no—
1126C2×Q16—611no—
1127C2×Q16C22×D6111yescharacteristic
1128C2×SD16—611no—
1129C2×SD16—611no—
1130C2×SD16—611no—
1131C2×SD16—611no—
1132C2×SD16—611no—
1133C2×SD16—611no—
1134C2×SD16—611no—
1135C2×SD16—611no—
1136C2×SD16—611no—
1137C2×SD16—611no—
1138C2×SD16C22×D6111yescharacteristic
1139C2×SD16C22×D6111yescharacteristic
1140C2×D8—611no—
1141C2×D8—611no—
1142C2×D8—611no—
1143C2×D8—611no—
1144C2×D8—611no—
1145C2×D8—611no—
1146C2×D8—611no—
1147C2×D8—611no—
1148C2×D8—2442no—
1149C2×D8—2442no—
1150C22×C8—611no—
1151C22×C8—611no—
1152C22×C8—611no—
1153C22×C8—611no—
1154C22×C8C22×D6111yescharacteristic
1155C22×C8C22×D6111yescharacteristic
1156C4⋊Q8—611no—
1157C4⋊Q8—611no—
1158C4⋊Q8—611no—
1159C4⋊Q8—611no—
1160#127—611no—
1161#127—611no—
1162#127—611no—
1163#127—611no—
1164#127—1221no—
1165#127—1221no—
1166#127—1221no—
1167#127—1221no—
1168#126—21no—
1169#126—1221no—
1170#126—1221no—
1171#126—1221no—
1172#126—1221no—
1173#126—1221no—
1174#125—21no—
1175#125—611no—
1176#125—1221no—
1177#125—1221no—
1178#125—1221no—
1179#125C22×D6111yescharacteristic
1180#124—611no—
1181#124—611no—
1182#124—611no—
1183#124—611no—
1184#124—611no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124—1221no—
1189#124—1221no—
1190#124—1221no—
1191#124C22×D6111yescharacteristic
1192#123—21no—
1193#123—21no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205#123—1221no—
1206#123—1221no—
1207#123—1221no—
1208C22⋊Q8—611no—
1209C22⋊Q8—611no—
1210C22⋊Q8—611no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8C22×D6111yescharacteristic
1218C22⋊Q8C22×D6111yescharacteristic
1219C22⋊Q8C22×D6111yescharacteristic
1220#121—21no—
1221#121—611no—
1222#121—611no—
1223#121—611no—
1224#121—611no—
1225#121—611no—
1226#121—1221no—
1227#121—1221no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#121—1221no—
1243#121C22×D6111yescharacteristic
1244#120—21no—
1245#120—1221no—
1246#120—1221no—
1247#120—1221no—
1248#120—1221no—
1249#120—1221no—
1250C4×Q8—611no—
1251C4×Q8—611no—
1252C4×Q8—611no—
1253C4×Q8—611no—
1254C4×Q8—611no—
1255C4×Q8—611no—
1256C4×Q8—611no—
1257C4×Q8—1221no—
1258C4×Q8—1221no—
1259C4×Q8C22×D6111yescharacteristic
1260C4×D4—611no—
1261C4×D4—611no—
1262C4×D4—611no—
1263C4×D4—611no—
1264C4×D4—611no—
1265C4×D4—611no—
1266C4×D4—611no—
1267C4×D4—611no—
1268C4×D4—611no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—1221no—
1275C4×D4—1221no—
1276C4×D4—1221no—
1277C4×D4—1221no—
1278C4×D4—1221no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290C4×D4—1221no—
1291C4×D4—1221no—
1292C4×D4C22×D6111yescharacteristic
1293C4×D4C22×D6111yescharacteristic
1294#117—21no—
1295#117—611no—
1296#117—611no—
1297#117—611no—
1298#117—611no—
1299#117—1221no—
1300#117—1221no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117—1221no—
1306#117—1221no—
1307#117—1221no—
1308#117C22×D6111yescharacteristic
1309C2×C4⋊C4—1221no—
1310C2×C4⋊C4—1221no—
1311C2×C4⋊C4C22×D6111yescharacteristic
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—1221no—
1314C2×C22⋊C4—1221no—
1315C2×C22⋊C4—1221no—
1316C2×C22⋊C4—1221no—
1317C2×C22⋊C4—1221no—
1318C2×C22⋊C4—1221no—
1319C2×C42—611no—
1320C2×C42—611no—
1321C2×C42—611no—
1322C2×C42—1221no—
1323C2×C42—1221no—
1324#107—611no—
1325#107—611no—
1326#107—611no—
1327#107C22×D6111yescharacteristic
1328#106—611no—
1329#106—611no—
1330#106C22×D6111yescharacteristic
1331#106C22×D6111yescharacteristic
1332C4⋊C8—611no—
1333C4⋊C8—611no—
1334C4⋊C8—611no—
1335C4⋊C8—611no—
1336C4⋊C8—611no—
1337C4⋊C8—611no—
1338C4⋊C8—611no—
1339C4⋊C8—611no—
1340C4⋊C8—611no—
1341C4⋊C8C22×D6111yescharacteristic
1342#103—611no—
1343#103—611no—
1344#103—611no—
1345#103—611no—
1346#103—611no—
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103C22×D6111yescharacteristic
1351#103C22×D6111yescharacteristic
1352#103C22×D6111yescharacteristic
1353#103C22×D6111yescharacteristic
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102—611no—
1361#102—611no—
1362#102—611no—
1363#102—611no—
1364#102—611no—
1365#102—611no—
1366#102—611no—
1367#102—611no—
1368#102C22×D6111yescharacteristic
1369#102C22×D6111yescharacteristic
1370#102C22×D6111yescharacteristic
1371#102C22×D6111yescharacteristic
1372#102C22×D6111yescharacteristic
1373#102C22×D6111yescharacteristic
1374C22⋊C8—611no—
1375C22⋊C8—611no—
1376C22⋊C8—611no—
1377C22⋊C8—611no—
1378C22⋊C8C22×D6111yescharacteristic
1379C22⋊C8C22×D6111yescharacteristic
1380C4×C8—611no—
1381C4×C8—611no—
1382C4×C8—611no—
1383C4×C8—611no—
1384C4×C8—611no—
1385C4×C8C22×D6111yescharacteristic
1386C24—21no—
1387C24—1221no—
1388C24—1221no—
1389#41—41no—
1390#41—41no—
1391#41—1222no—
1392#41—1224no—
1393#41—1222no—
1394#41—4882no—
1395#41—4882no—
1396#41—2441no—
1397#41—2441no—
1398#41—2441no—
1399#41—2441no—
1400#41—2441no—
1401#41—2441no—
1402#41—2441no—
1403#41—2441no—
1404C2×Q8—611no—
1405C2×Q8—611no—
1406C2×Q8—611no—
1407C2×Q8—1221no—
1408C2×Q8—1221no—
1409C2×Q8C23×D6111yescharacteristic
1410C2×Q8C23×D6111yescharacteristic
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—611no—
1417C2×D4—611no—
1418C2×D4—611no—
1419C2×D4—611no—
1420C2×D4—611no—
1421C2×D4—611no—
1422C2×D4—1222no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—1221no—
1426C2×D4—1221no—
1427C2×D4—1221no—
1428C2×D4—1221no—
1429C2×D4—1221no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—1221no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—1221no—
1437C2×D4—1221no—
1438C2×D4—1221no—
1439C2×D4—1221no—
1440C2×D4—1221no—
1441C2×D4—1221no—
1442C2×D4—1221no—
1443C2×D4—4882no—
1444C2×D4—2441no—
1445C2×D4—2441no—
1446C2×D4—2441no—
1447C2×D4—2444no—
1448C2×D4D4×D6111yescharacteristic
1449C2×D4C23×D6111yescharacteristic
1450C2×D4C23×D6111yescharacteristic
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—611no—
1455C22×C4—611no—
1456C22×C4—611no—
1457C22×C4—611no—
1458C22×C4—611no—
1459C22×C4—611no—
1460C22×C4—611no—
1461C22×C4—1221no—
1462C22×C4—1221no—
1463C22×C4—1221no—
1464C22×C4—1221no—
1465C22×C4—1221no—
1466C22×C4—1221no—
1467C22×C4—1221no—
1468C22×C4—1221no—
1469C22×C4—1221no—
1470C22×C4—1221no—
1471C22×C4—1221no—
1472C22×C4—1221no—
1473C22×C4—1221no—
1474C22×C4—1221no—
1475C22×C4—2444no—
1476C22×C4C23×D6111yescharacteristic
1477C22×C4C23×D6111yescharacteristic
1478Q16—41no—
1479Q16—2441no—
1480Q16—2441no—
1481Q16—2441no—
1482SD16—41no—
1483SD16—41no—
1484SD16—1222no—
1485SD16—1222no—
1486SD16—2441no—
1487SD16—2441no—
1488SD16—2441no—
1489SD16—2441no—
1490SD16—2441no—
1491SD16—2441no—
1492SD16—2441no—
1493SD16—2441no—
1494D8—1222no—
1495D8—1222no—
1496D8—1222no—
1497D8—1222no—
1498D8—2441no—
1499D8—2441no—
1500D8—2441no—
1501D8—2441no—
1502C2×C8—41no—
1503C2×C8—41no—
1504C2×C8—611no—
1505C2×C8—611no—
1506C2×C8—611no—
1507C2×C8—611no—
1508C2×C8—2441no—
1509C2×C8—2441no—
1510C2×C8—2441no—
1511C2×C8—2441no—
1512C2×C8C23×D6111yescharacteristic
1513C2×C8C23×D6111yescharacteristic
1514C2×C8C23×D6111yescharacteristic
1515C2×C8C23×D6111yescharacteristic
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—611no—
1524C4⋊C4—611no—
1525C4⋊C4—611no—
1526C4⋊C4—611no—
1527C4⋊C4—611no—
1528C4⋊C4—611no—
1529C4⋊C4—611no—
1530C4⋊C4—1221no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4—1221no—
1536C4⋊C4—1221no—
1537C4⋊C4—1221no—
1538C4⋊C4—1221no—
1539C4⋊C4—1221no—
1540C4⋊C4—1221no—
1541C4⋊C4—1221no—
1542C4⋊C4—1221no—
1543C4⋊C4—1221no—
1544C4⋊C4—1221no—
1545C4⋊C4—1221no—
1546C4⋊C4D4×D6111yescharacteristic
1547C4⋊C4C23×D6111yescharacteristic
1548C4⋊C4C23×D6111yescharacteristic
1549C4⋊C4C23×D6111yescharacteristic
1550C4⋊C4C23×D6111yescharacteristic
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—611no—
1560C22⋊C4—611no—
1561C22⋊C4—611no—
1562C22⋊C4—611no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4—1221no—
1583C22⋊C4—1221no—
1584C22⋊C4—1221no—
1585C22⋊C4—1221no—
1586C22⋊C4—1221no—
1587C22⋊C4—1221no—
1588C22⋊C4—1221no—
1589C22⋊C4—1221no—
1590C22⋊C4—1221no—
1591C22⋊C4D4×D6111yescharacteristic
1592C22⋊C4D4×D6111yescharacteristic
1593C42—21no—
1594C42—21no—
1595C42—611no—
1596C42—611no—
1597C42—611no—
1598C42—611no—
1599C42—611no—
1600C42—611no—
1601C42—611no—
1602C42—611no—
1603C42—611no—
1604C42—1221no—
1605C42—1221no—
1606C42—1221no—
1607C42—1221no—
1608C42—1221no—
1609C42—1221no—
1610C42C23×D6111yescharacteristic
1611C23—21no—
1612C23—21no—
1613C23—42no—
1614C23—81no—
1615C23—81no—
1616C23—611no—
1617C23—1221no—
1618C23—1221no—
1619C23—1221no—
1620C23—1221no—
1621C23—4881no—
1622C23—4881no—
1623C23—4881no—
1624C23—2442no—
1625C23—2442no—
1626C23—2442no—
1627C23C2×D4×D6111yescharacteristic
1628C23C2×D4×D6111yescharacteristic
1629Q8—21no—
1630Q8—21no—
1631Q8—21no—
1632Q8—21no—
1633Q8—1222no—
1634Q8—1221no—
1635Q8—1221no—
1636Q8—1221no—
1637Q8—1221no—
1638Q8—4881no—
1639Q8—2442no—
1640D4—22no—
1641D4—21no—
1642D4—21no—
1643D4—21no—
1644D4—21no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—612no—
1649D4—1222no—
1650D4—1222no—
1651D4—1221no—
1652D4—1221no—
1653D4—1221no—
1654D4—1221no—
1655D4—1221no—
1656D4—1221no—
1657D4—1221no—
1658D4—4881no—
1659D4—4881no—
1660D4—4881no—
1661D4—4881no—
1662D4—4881no—
1663D4—4881no—
1664D4—4881no—
1665D4—4881no—
1666D4—4881no—
1667D4—4881no—
1668D4—4881no—
1669D4—2442no—
1670D4—2442no—
1671D4—2442no—
1672D4—2442no—
1673D4—2442no—
1674D4—2442no—
1675D4—2442no—
1676D4—2442no—
1677D4—2442no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—42no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—614no—
1692C2×C4—611no—
1693C2×C4—611no—
1694C2×C4—611no—
1695C2×C4—611no—
1696C2×C4—611no—
1697C2×C4—611no—
1698C2×C4—611no—
1699C2×C4—1222no—
1700C2×C4—1222no—
1701C2×C4—1221no—
1702C2×C4—1221no—
1703C2×C4—1221no—
1704C2×C4—1221no—
1705C2×C4—1221no—
1706C2×C4—1221no—
1707C2×C4—4881no—
1708C2×C4—4881no—
1709C2×C4—4881no—
1710C2×C4—4881no—
1711C2×C4—4881no—
1712C2×C4—4881no—
1713C2×C4—4881no—
1714C2×C4—4881no—
1715C2×C4—2441no—
1716C2×C4—2442no—
1717C2×C4—2442no—
1718C2×C4—2442no—
1719C2×C4—2442no—
1720C2×C4—2442no—
1721C2×C4—2442no—
1722C2×C4—2441no—
1723C2×C4—2441no—
1724C2×C4C2×D4×D6111yescharacteristic
1725C2×C4C2×D4×D6111yescharacteristic
1726C2×C4C2×D4×D6111yescharacteristic
1727C2×C4C2×D4×D6111yescharacteristic
1728C2×C4C24×D6111yescharacteristic
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—1221no—
1734C8—1221no—
1735C8—1221no—
1736C8—1221no—
1737C22—21no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—21no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—162no—
1749C22—1221no—
1750C22—1222no—
1751C22—1221no—
1752C22—1221no—
1753C22—9762no—
1754C22—4884no—
1755C22—2441no—
1756C22—2441no—
1757C22—2441no—
1758C22—2441no—
1759C22—2441no—
1760C22—2441no—
1761C22—2441no—
1762C22—2441no—
1763C22—2441no—
1764C22—2441no—
1765C22—2441no—
1766C22#135×D6112yes—
1767C22C22×D4×D6111yescharacteristic
1768C4—21no—
1769C4—21no—
1770C4—21no—
1771C4—21no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—612no—
1779C4—612no—
1780C4—1221no—
1781C4—1221no—
1782C4—1221no—
1783C4—1221no—
1784C4—1221no—
1785C4—2441no—
1786C4—2441no—
1787C4—2441no—
1788C4—2441no—
1789C4H(5,𝔽2)×D6111yescharacteristic
1790C4#1684059811yescharacteristic
1791C2—22no—
1792C2—41no—
1793C2—81no—
1794C2—81no—
1795C2—4881no—
1796C2—4881no—
1797C2—4881no—
1798C2—2441no—
1799C2—2442no—
1800C2#2145948211yescharacteristic
1801C2C2×#135×D6111yescharacteristic
1802C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3296C2
socleC22×C61C23×D4
hypercenter#3296D61
hypocenterC61#61949
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #21459687C2semidirect
2. #21459384C2semidirect
3. #21458816C2semidirect
4. #21458810C2semidirect
5. #21458482C2semidirect
6. #21458476C2semidirect
7. #21457767C2semidirect
8. #21457765C2semidirect
9. #21457652C2semidirect
10. #21457650C2semidirect
11. #21457648C2semidirect
12. #21457546C2semidirect
13. #21457542C2semidirect
14. #21457506C2semidirect
15. #21457501C2semidirect
16. #21457500C2semidirect
17. #21457497C2semidirect
18. #21457160C2semidirect
19. #21457144C2semidirect
20. #21457140C2semidirect
21. #21456798C2semidirect
22. #21456796C2semidirect
23. #21456758C2semidirect
24. #21455877C2semidirect
25. #21455874C2semidirect
26. #21455824C2semidirect
27. #21455273C2semidirect
28. #21455272C2semidirect
29. C2×#16839956C2semidirect
30. #21454926C2semidirect
31. C61×#3296C2semidirect
32. C2×#14519800C22semidirect
33. C2×#14519799C22semidirect
34. C2×#14519798C22semidirect
35. C2×#14519797C22semidirect
39. #16840495C22semidirect
40. #16840494C22semidirect
41. #16840484C22semidirect
42. #16840475C22semidirect
43. #16840468C22semidirect
49. #16840431C22semidirect
51. #16840430C22semidirect
52. #16840414C22semidirect
65. #16840311C22semidirect
66. #16840309C22semidirect
67. #16840308C22semidirect
68. #16840307C22semidirect
70. #16840298C22semidirect
72. #16840297C22semidirect
76. C4×#11758226C22semidirect
77. #16840230C22semidirect
81. #16840147C22semidirect
82. #16840146C22semidirect
83. #16840144C22semidirect
84. #16840143C22semidirect
85. #16840133C22semidirect
86. #16840133C22semidirect
87. #16840119C22semidirect
88. #16840118C22semidirect
89. #16840115C22semidirect
90. #16840107C22semidirect
91. #16840107C22semidirect
93. #16840088C22semidirect
94. #16840086C22semidirect
95. #16840084C22semidirect
96. #16840061C22semidirect
97. #16840060C22semidirect
98. #16840059C22semidirect
99. #16840056C22semidirect
100. #16840056C22semidirect
101. #16840055C22semidirect
102. #16840055C22semidirect
103. #16840051C22semidirect
104. #16840051C22semidirect
108. #16839999C22semidirect
109. #16839998C22semidirect
110. #16839997C22semidirect
111. #16839996C22semidirect
112. #16839993C22semidirect
113. #16839992C22semidirect
114. #16839990C22semidirect
115. #16839987C22semidirect
116. #16839984C22semidirect
117. #16839983C22semidirect
118. #16839980C22semidirect
119. #16839980C22semidirect
120. #16839979C22semidirect
121. #16839978C22semidirect
122. #16839978C22semidirect
123. #16839977C22semidirect
124. #16839976C22semidirect
125. #16839974C22semidirect
126. #16839971C22semidirect
127. #16839971C22semidirect
128. #16839970C22semidirect
129. #16839970C22semidirect
130. #16839966C22semidirect
131. #16839966C22semidirect
132. #16839961C22semidirect
133. #16839961C22semidirect
134. #16839960C22semidirect
135. #16839960C22semidirect
144. #16839927C22semidirect
145. #16839925C22semidirect
146. #16839922C22semidirect
152. #16839910C22semidirect
153. #16839910C22semidirect
154. #16839909C22semidirect
155. #16839909C22semidirect
156. #16839908C22semidirect
157. #16839907C22semidirect
158. #16839906C22semidirect
159. #16839905C22semidirect
160. C8×Dic122C22semidirect
161. #16839886C22semidirect
162. #16839853C22semidirect
163. C4×#11758201C22semidirect
164. #16839849C22semidirect
165. #16839849C22semidirect
166. #16839849C22semidirect
167. #16839847C22semidirect
168. #16839847C22semidirect
169. C4×D488C22semidirect
170. #16839844C22semidirect
171. C4×#11758199C22semidirect
172. #16839842C22semidirect
175. C8×C22⋊D61C22semidirect
177. #16839825C22semidirect
178. #16839813C22semidirect
180. #16839812C22semidirect
182. C2×#14519706C22semidirect
183. C4⋊C8×D61C22semidirect
184. #16839757C22semidirect
185. #16839756C22semidirect
186. #16839755C22semidirect
190. C61×#488C22semidirect
192. C61×#482C22semidirect
193. C61×#478C22semidirect
195. C61×#465C22semidirect
196. C61×#464C22semidirect
197. C61×#452C22semidirect
199. C4×SD16×C61C22semidirect
201. C61×#416C22semidirect
782. C2×Dic61#135semidirect
901. #3296D61semidirect
993. #488C2×D61semidirect
1001. #482C2×D61semidirect
1005. #478C2×D61semidirect
1023. #465C2×D61semidirect
1027. #464C2×D61semidirect
1057. #452C2×D61semidirect
1081. C4×SD16C2×D61semidirect
1101. #416C2×D61semidirect
1104. C61#61949semidirect

Maximal subgroups

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

subgroupindex
#214596872
#214593842
#214588162
#214588102
#214584822
#214584762
#214577672
#214577652
#214576522
#214576502
#214576482
#214575462
#214575422
#214575062
#214575012
#214575002
#214574972
#214571602
#214571442
#214571402
#214567982
#214567962
#214567582
#214558772
#214558742
#214558242
#214552732
#214552722
C2×#168399562
#214549262
C61×#32962
#6194961