Finite Group Databasebeta

← #30564640

Subgroups — #30564640

Order 15616.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459908C211yesmaximal, characteristic, complemented
2#21459818C211yesmaximal, characteristic
3#21458798C211yesmaximal, characteristic, complemented
4#21458707C211yesmaximal, characteristic, complemented
5#21458625C211yesmaximal, characteristic, complemented
6#21458551C211yesmaximal, characteristic, complemented
7#21458399C211yesmaximal, characteristic, complemented
8#21458375C211yesmaximal, characteristic, complemented
9#21457993C211yesmaximal, characteristic, complemented
10#21457984C211yesmaximal, characteristic, complemented
11#21457948C211yesmaximal, characteristic, complemented
12#21457939C211yesmaximal, characteristic, complemented
13#21457756C211yesmaximal, characteristic, complemented
14#21457682C211yesmaximal, characteristic, complemented
15#21457487C211yesmaximal, characteristic, complemented
16#21457482C211yesmaximal, characteristic, complemented
17#21457482C211yesmaximal, characteristic, complemented
18#21456532C211yesmaximal, characteristic, complemented
19#21456449C211yesmaximal, characteristic, complemented
20#21456442C211yesmaximal, characteristic, complemented
21#21456112C211yesmaximal, characteristic, complemented
22#21456106C211yesmaximal, characteristic, complemented
23#21456038C211yesmaximal, characteristic, complemented
24#21456036C211yesmaximal, characteristic, complemented
25#21455885C211yesmaximal, characteristic, complemented
26#21455847C211yesmaximal, characteristic, complemented
27#21454818C211yesmaximal, characteristic, complemented
28#21454660C211yesmaximal, characteristic, complemented
29#21454655C211yesmaximal, characteristic, complemented
30#21454637C211yesmaximal, characteristic, complemented
31C61×#3351C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic
33C2×#14519810C2211yescharacteristic
34C2×#14519806C2211yescharacteristic
35#16840490C2211yescharacteristic
36#16840489—21no—
37#16840489C2211yescharacteristic
38#16840489C2211yescharacteristic
39#16840480C2211yescharacteristic
40#16840479—21no—
41#16840463—21no—
42#16840461—21no—
43#16840456C2211yescharacteristic
44#16840449—21no—
45#16840447C2211yescharacteristic
46#16840445—21no—
47#16840433C2211yescharacteristic
48#16840433C2211yescharacteristic
49#16840430—21no—
50#16840430C2211yescharacteristic
51#16840430C2211yescharacteristic
52D4×Dic122C2211yescharacteristic
53#16840425C2211yescharacteristic
54#16840425C2211yescharacteristic
55#16840413C2211yescharacteristic
56#16840410—21no—
57#16840375C2211yescharacteristic
58#16840372C2211yescharacteristic
59#16840371—21no—
60#16840369—21no—
61#16840368C2211yescharacteristic
62#16840365C2211yescharacteristic
63#16840364—21no—
64#16840362—21no—
65#16840315—21no—
66#16840314C2211yescharacteristic
67#16840309—21no—
68#16840307C2211yescharacteristic
69#16840295—21no—
70#16840292C2211yescharacteristic
71#16840289—21no—
72#16840243C2211yescharacteristic
73#16840241C2211yescharacteristic
74#16840239C2211yescharacteristic
75#16840238C2211yescharacteristic
76#16840230C2211yescharacteristic
77C2×#14519742C2211yescharacteristic
78#16840166C2211yescharacteristic
79#16840163C2211yescharacteristic
80#16840135C2211yescharacteristic
81#16840133C2211yescharacteristic
82#16840133C2211yescharacteristic
83#16840132C2211yescharacteristic
84#16840129C2211yescharacteristic
85#16840128C2211yescharacteristic
86#16840125C2211yescharacteristic
87#16840111C2211yescharacteristic
88#16840107C2211yescharacteristic
89#16840103C2211yescharacteristic
90#16840099C2211yescharacteristic
91#16840097C2211yescharacteristic
92#16840094C2211yescharacteristic
93#16840089C2211yescharacteristic
94#16840088C2211yescharacteristic
95#16840086C2211yescharacteristic
96#16840080C2211yescharacteristic
97#16840072C2211yescharacteristic
98#16840072C2211yescharacteristic
99#16840068C2211yescharacteristic
100#16840066C2211yescharacteristic
101#16840066C2211yescharacteristic
102#16840061C2211yescharacteristic
103#16840046C2211yescharacteristic
104#16840046C2211yescharacteristic
105#16840046C2211yescharacteristic
106#16840041C2211yescharacteristic
107#16840010C2211yescharacteristic
108#16840009C2211yescharacteristic
109#16840009C2211yescharacteristic
110#16840008C2211yescharacteristic
111#16840008C2211yescharacteristic
112#16840006C2211yescharacteristic
113#16839993C2211yescharacteristic
114#16839992C2211yescharacteristic
115#16839992C2211yescharacteristic
116#16839989C2211yescharacteristic
117#16839973C2211yescharacteristic
118#16839971C2211yescharacteristic
119#16839971C2211yescharacteristic
120#16839967C2211yescharacteristic
121#16839966C2211yescharacteristic
122#16839966C2211yescharacteristic
123#16839963C2211yescharacteristic
124#16839962C2211yescharacteristic
125#16839961C2211yescharacteristic
126#16839961C2211yescharacteristic
127#16839961C2211yescharacteristic
128#16839961C2211yescharacteristic
129#16839926C2211yescharacteristic
130#16839926C2211yescharacteristic
131#16839925C2211yescharacteristic
132#16839925C2211yescharacteristic
133#16839922C2211yescharacteristic
134#16839922C2211yescharacteristic
135#16839903C2211yescharacteristic
136#16839903C2211yescharacteristic
137#16839902C2211yescharacteristic
138#16839902C2211yescharacteristic
139#16839900C2211yescharacteristic
140#16839900C2211yescharacteristic
141#16839891C2211yescharacteristic
142C8×Dic122C2211yescharacteristic
143#16839868C2211yescharacteristic
144#16839868C2211yescharacteristic
145#16839868C2211yescharacteristic
146#16839867C2211yescharacteristic
147#16839865C2211yescharacteristic
148#16839863C2211yescharacteristic
149#16839862C2211yescharacteristic
150#16839861C2211yescharacteristic
151#16839861C2211yescharacteristic
152#16839861C2211yescharacteristic
153#16839861C2211yescharacteristic
154#16839859C2211yescharacteristic
155C4×Dic244C2211yescharacteristic
156#16839856C2211yescharacteristic
157#16839856C2211yescharacteristic
158#16839856C2211yescharacteristic
159#16839856C2211yescharacteristic
160#16839854C2211yescharacteristic
161#16839853C2211yescharacteristic
162#16839853C2211yescharacteristic
163#16839849C2211yescharacteristic
164#16839849C2211yescharacteristic
165#16839849C2211yescharacteristic
166#16839849C2211yescharacteristic
167#16839849C2211yescharacteristic
168#16839849C2211yescharacteristic
169#16839847C2211yescharacteristic
170#16839838C2211yescharacteristic
171#16839838C2211yescharacteristic
172#16839836C2211yescharacteristic
173#16839834C2211yescharacteristic
174#16839825C2211yescharacteristic
175#16839822C2211yescharacteristic
176#16839820C2211yescharacteristic
177#16839812C2211yescharacteristic
178#16839801C2211yescharacteristic
179#16839770C2211yescharacteristic
180#16839761C2211yescharacteristic
181#16839756C2211yescharacteristic
182#16839755C2211yescharacteristic
183C2×#14519700C2211yescharacteristic
184#103×D61C2211yescharacteristic
185#16839720C2211yescharacteristic
186#16839716C2211yescharacteristic
187M16×Dic61C2211yescharacteristic
188C61×#553C2211yescharacteristic
189C61×#552C2211yescharacteristic
190C61×#499C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#483C2211yescharacteristic
193C61×#482C2211yescharacteristic
194C61×#481C2211yescharacteristic
195C61×#479C2211yescharacteristic
196C61×#478C2211yescharacteristic
197C61×#468C2211yescharacteristic
198C61×#468C2211yescharacteristic
199C4×SD16×C61C2211yescharacteristic
200C61×#436C2211yescharacteristic
201C61×#428C2211yescharacteristic
202C61×#428C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758224—21no—
208C2×#11758224C2311yescharacteristic
209C22×Dic122C2311yescharacteristic
210C22×Dic122C2311yescharacteristic
211C2×Q8×D61C2311yescharacteristic
212#14519810—24no—
213#14519810—24no—
214#14519806—24no—
215C2×Dic244C2311yescharacteristic
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758190C2311yescharacteristic
220C2×#11758190C2311yescharacteristic
221C2×#11758190C2311yescharacteristic
222C2×#11758190C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758200C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230C2×#11758194C2311yescharacteristic
231C2×#11758189C2311yescharacteristic
232C22×#92418C2311yescharacteristic
233C2×C8×D61C2311yescharacteristic
234#14519777C2311yescharacteristic
235#14519776—21no—
236#14519776—21no—
237#14519776—21no—
238#14519776—21no—
239#14519776—21no—
240#14519776C2311yescharacteristic
241#14519776C2311yescharacteristic
242#14519775C2311yescharacteristic
243#14519775C2311yescharacteristic
244#14519774C2311yescharacteristic
245#14519773—21no—
246#14519773—21no—
247#14519773—21no—
248#14519773C2311yescharacteristic
249#14519773C2311yescharacteristic
250#14519772—21no—
251#14519772—21no—
252#14519772—21no—
253#14519772D411yescharacteristic
254#14519771—21no—
255#14519771—21no—
256#14519770—21no—
257#14519770—21no—
258#14519770—21no—
259#14519770D411yescharacteristic
260#14519769—21no—
261#14519768—21no—
262#14519768—21no—
263#14519768—21no—
264#14519768C2311yescharacteristic
265#14519768C2311yescharacteristic
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519767—21no—
270#14519767—21no—
271#14519767—21no—
272#14519767—21no—
273#14519767—21no—
274#14519767—21no—
275#14519767D411yescharacteristic
276#14519763—21no—
277#14519763—21no—
278#14519763D411yescharacteristic
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519761—21no—
283#14519761D411yescharacteristic
284#14519760—21no—
285#14519760—21no—
286#14519759—21no—
287#14519759—21no—
288#14519758D411yescharacteristic
289#14519757C2311yescharacteristic
290#14519757C2311yescharacteristic
291#14519756C2311yescharacteristic
292#14519756C2311yescharacteristic
293#14519755—21no—
294#14519755—21no—
295#14519755—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519754D411yescharacteristic
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#14519749—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749D411yescharacteristic
321#14519748—21no—
322Q8×Dic61C2311yescharacteristic
323C4×Dic122—21no—
324C4×Dic122—21no—
325C4×Dic122—21no—
326C4×Dic122—21no—
327C4×Dic122—21no—
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330C4×Dic122C2311yescharacteristic
331#14519742—21no—
332#14519742—21no—
333#14519742—21no—
334#14519742—21no—
335#14519742—21no—
336#14519742—21no—
337#14519742C2311yescharacteristic
338#14519742C2311yescharacteristic
339#14519742C2311yescharacteristic
340#14519742C2311yescharacteristic
341#14519742C2311yescharacteristic
342#14519742C2311yescharacteristic
343#14519742C2311yescharacteristic
344#14519742C2311yescharacteristic
345#14519742C2311yescharacteristic
346#14519742C2311yescharacteristic
347C4×D244—21no—
348D4×Dic61—21no—
349D4×Dic61C2311yescharacteristic
350#14519739—21no—
351#14519739C2311yescharacteristic
352#14519739C2311yescharacteristic
353#14519739C2311yescharacteristic
354#14519739C2311yescharacteristic
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#14519736—21no—
369#14519736C2311yescharacteristic
370#14519735—21no—
371#14519735—21no—
372#14519735C2311yescharacteristic
373#14519734—21no—
374#14519734—21no—
375#14519734C2311yescharacteristic
376#14519733—21no—
377#14519733—21no—
378#14519733—21no—
379#14519733—21no—
380C2×#11758196—21no—
381C2×#11758196—21no—
382C4⋊C4×D61—21no—
383C4⋊C4×D61C2311yescharacteristic
384C2×C4×Dic61—21no—
385C2×C4×Dic61C2311yescharacteristic
386C42×D61—21no—
387#14519711C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425C22⋊#92418C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×M16×C61C2311yescharacteristic
440C2×M16×C61C2311yescharacteristic
441#126×C61—21no—
442#126×C61—21no—
443#125×C61—21no—
444#125×C61C2311yescharacteristic
445#125×C61C2311yescharacteristic
446#123×C61—21no—
447#123×C61—21no—
448C22⋊Q8×C61C2311yescharacteristic
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61—21no—
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453C4×Q8×C61C2311yescharacteristic
454C4×D4×C61—21no—
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457#117×C61—21no—
458#117×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460C2×C4⋊C4×C61C2311yescharacteristic
461C2×C4⋊C4×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×D4×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61C2×D411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C22×C4×C61—21no—
489C22×C4×C61C2411yescharacteristic
490C22×C4×C61C2411yescharacteristic
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61C2×D411yescharacteristic
501C2×C22⋊D61C2×D411yescharacteristic
502C22×Dic61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61C2×D411yescharacteristic
507C22×Dic61C2×D411yescharacteristic
508Q8×D61—22no—
509Q8×D61—41no—
510#11758224—22no—
511#11758224—41no—
512#11758224—82no—
513#11758222—22no—
514#11758222—22no—
515#11758222—41no—
516#11758222—41no—
517#11758222—82no—
518#11758222—82no—
519C2×D244—21no—
520C2×D244—21no—
521C2×D244—21no—
522C2×D244—21no—
523C2×D244C2411yescharacteristic
524C2×D244C2411yescharacteristic
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61C2411yescharacteristic
534C2×Dic122—22no—
535C2×Dic122—22no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122—41no—
542C2×Dic122—41no—
543C2×Dic122C2×D411yescharacteristic
544C2×Dic122C2411yescharacteristic
545C2×Dic122C2411yescharacteristic
546C2×Dic122C2411yescharacteristic
547C2×Dic122C2411yescharacteristic
548SD16×C61—22no—
549M16×C61—22no—
550M16×C61—22no—
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61C2×D411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C4⋊C4×C61C2411yescharacteristic
568C4⋊C4×C61C2411yescharacteristic
569C4⋊C4×C61C2411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61C2×D411yescharacteristic
579C22⋊C4×C61C2×D411yescharacteristic
580C42×C61—21no—
581C42×C61—21no—
582C42×C61—21no—
583C42×C61C2411yescharacteristic
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61C2×D411yescharacteristic
588C22⋊Dic61C2×D411yescharacteristic
589C22⋊Dic61C2×D411yescharacteristic
590C22⋊Dic61C2×D411yescharacteristic
591#11758202—22no—
592#11758201—41no—
593#11758201—41no—
594#11758200—22no—
595#11758200—41no—
596#11758200—41no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198C2×D411yescharacteristic
609#11758198C2×D411yescharacteristic
610#11758198C2×D411yescharacteristic
611#11758198C2×D411yescharacteristic
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61C2×D411yescharacteristic
620C4⋊Dic61C2×D411yescharacteristic
621C4⋊Dic61C2×D411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624#11758196—21no—
625#11758196—21no—
626#11758196—21no—
627#11758196—21no—
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61C2×D411yescharacteristic
668C4×Dic61C2×D411yescharacteristic
669C4×Dic61C2411yescharacteristic
670C4×Dic61C2411yescharacteristic
671C4×Dic61C2411yescharacteristic
672#11758194—41no—
673C2×#92418—41no—
674C2×#92418C2411yescharacteristic
675C2×#92418C2411yescharacteristic
676C2×#92418C2411yescharacteristic
677C2×#92418C2411yescharacteristic
678Dic244—22no—
679Dic244—22no—
680Dic244#4114yescomplemented
681#11758190—22no—
682#11758190—22no—
683#11758190—22no—
684#11758190—22no—
685#11758190—41no—
686#11758190—41no—
687#11758189—22no—
688C8×D61—41no—
689C23×C61—21no—
690C23×C61C22×D411yescharacteristic
691C23×C61C22×D411yescharacteristic
692C22×D61—21no—
693C22×D61—21no—
694C22×D61C22×D411yescharacteristic
695Q8×C61—21no—
696Q8×C61—21no—
697D4×C61—21no—
698D4×C61—21no—
699D4×C61—41no—
700D4×C61—81no—
701D4×C61—81no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—42no—
714C2×C4×C61—81no—
715C2×C4×C61—81no—
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C22×D411yescharacteristic
718C2×C4×C61C22×D411yescharacteristic
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C2511yescharacteristic
721C22⋊D61—22no—
722C22⋊D61—41no—
723C22⋊D61—42no—
724C22⋊D61—42no—
725C22⋊D61—42no—
726C22⋊D61—42no—
727C22⋊D61—81no—
728C22⋊D61—81no—
729C22⋊D61—81no—
730C22⋊D61—81no—
731C22⋊D61—81no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—22no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—41no—
740C2×Dic61—42no—
741C2×Dic61—42no—
742C2×Dic61—42no—
743C2×Dic61—81no—
744C2×Dic61C22×D411yescharacteristic
745C2×Dic61C22×D411yescharacteristic
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751D244—21no—
752D244—21no—
753D244—21no—
754D244—21no—
755D244—81no—
756D244—81no—
757D244—81no—
758D244—81no—
759C4×D61—21no—
760C4×D61—21no—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—42no—
764C4×D61—42no—
765C4×D61—81no—
766C4×D61—81no—
767C4×D61—81no—
768C4×D61—81no—
769Dic122—21no—
770Dic122—21no—
771Dic122—22no—
772Dic122—21no—
773Dic122—21no—
774Dic122—21no—
775Dic122—21no—
776Dic122—42no—
777Dic122—42no—
778Dic122—42no—
779Dic122—42no—
780Dic122—42no—
781Dic122C2×#4112yes—
782Dic122C2×#4112yes—
783C8×C61—21no—
784C8×C61—21no—
785C8×C61—21no—
786C8×C61C2×#4112yes—
787#92418—21no—
788#92418—21no—
789#92418—21no—
790#92418—21no—
791#61556—611nomaximal, Sylow
792C22×C61—21no—
793C22×C61—21no—
794C22×C61—21no—
795C22×C61—21no—
796C22×C61—21no—
797C22×C61—21no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61C23×D411yescharacteristic
802C2×D61—21no—
803C2×D61—21no—
804C2×D61—21no—
805C2×D61—41no—
806C2×D61—41no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C4×C61—21no—
812C4×C61—21no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—41no—
816C4×C61—41no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61C22×#4111yescharacteristic
823C4×C61#58511yescharacteristic
824Dic61—21no—
825Dic61—21no—
826Dic61—21no—
827Dic61—22no—
828Dic61—22no—
829Dic61—21no—
830Dic61—21no—
831Dic61—21no—
832Dic61—41no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61#57712yes—
837#3523—611no—
838#3517—611no—
839#3392—611no—
840#3383—611no—
841#3374—611no—
842#3368—611no—
843#3353—611no—
844#3351—611no—
845#3351D6111yescharacteristic, complemented
846#3320—611no—
847#3320—611no—
848#3317—611no—
849#3317—611no—
850#3304—611no—
851#3298—611no—
852#3278—611no—
853#3278—611no—
854#3278—611no—
855#3182—611no—
856#3174—611no—
857#3174—611no—
858#3126—611no—
859#3126—611no—
860#3120—611no—
861#3120—611no—
862#3107—611no—
863#3103—611no—
864#2969—611no—
865#2947—611no—
866#2947—611no—
867C4×#137—611no—
868C2×C61—41no—
869C2×C61—41no—
870C2×C61—81no—
871C2×C61D4×#4111yescharacteristic
872C2×C61C2×#57711yescharacteristic
873C2×C61#358611yescharacteristic
874D61—41no—
875D61—81no—
876D61—81no—
877C2×#137—611no—
878C2×#137—611no—
879C2×#137—611no—
880#557—611no—
881#557—611no—
882#557—611no—
883#557—1221no—
884#556—611no—
885#556—1221no—
886#553—611no—
887#553—1221no—
888#553—1221no—
889#553C2×D6111yescharacteristic
890#552—611no—
891#552—1221no—
892#552—1221no—
893#552C2×D6111yescharacteristic
894#550—611no—
895#550—611no—
896#550—611no—
897#550—611no—
898#550—1221no—
899D4×Q8—611no—
900D4×Q8—611no—
901D4×Q8—611no—
902#547—611no—
903#547—1221no—
904#541—611no—
905#541—611no—
906#541—1221no—
907#541—1221no—
908#540—611no—
909#540—611no—
910#540—1221no—
911#540—1221no—
912#533—611no—
913#533—1221no—
914#532—611no—
915#532—1221no—
916#529—611no—
917#529—1221no—
918#529—1221no—
919#520—611no—
920#520—611no—
921#519—611no—
922#519—611no—
923C4×#41—611no—
924C2×C4×Q8—611no—
925#500—611no—
926#499—611no—
927#499C2×D6111yescharacteristic
928#492—611no—
929#492—611no—
930#492—611no—
931#491—611no—
932#491—611no—
933#490—611no—
934#490—611no—
935#487—611no—
936#486—611no—
937#485—611no—
938#485C2×D6111yescharacteristic
939#484—611no—
940#484—611no—
941#483—611no—
942#483C2×D6111yescharacteristic
943#482—611no—
944#482—611no—
945#482—611no—
946#482C2×D6111yescharacteristic
947#481—611no—
948#481C2×D6111yescharacteristic
949#479—611no—
950#479—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#479C2×D6111yescharacteristic
955#478—611no—
956#478C2×D6111yescharacteristic
957#475—611no—
958#475—611no—
959#475—611no—
960#474—611no—
961#468—611no—
962#468—611no—
963#468—611no—
964#468—611no—
965#468—611no—
966#468—611no—
967#468C2×D6111yescharacteristic
968#468C2×D6111yescharacteristic
969#465—611no—
970#465—611no—
971#465—611no—
972#465—611no—
973#462—611no—
974#462—611no—
975#462—611no—
976#461—611no—
977#461—611no—
978#461—611no—
979#460—611no—
980#460—611no—
981#460—611no—
982#460—611no—
983#460—611no—
984#460—611no—
985#452—611no—
986#452—611no—
987#452—611no—
988#452—611no—
989#452—611no—
990#452—611no—
991#448—611no—
992#448—611no—
993#448—611no—
994#448—611no—
995#448—611no—
996#448—611no—
997#446—611no—
998C8×Q8—611no—
999#441—611no—
1000#441—611no—
1001#441—611no—
1002#441—611no—
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006#440—611no—
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011C4×Q16—611no—
1012C4×Q16—611no—
1013C4×Q16—611no—
1014C4×Q16—611no—
1015C4×Q16—611no—
1016C4×Q16—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×SD16—611no—
1026C4×SD16C2×D6111yescharacteristic
1027#436—611no—
1028#436—611no—
1029#436C2×D6111yescharacteristic
1030#435—611no—
1031#435—611no—
1032C8×D4—611no—
1033#433—611no—
1034#433—611no—
1035#431—611no—
1036#428—611no—
1037#428C2×D6111yescharacteristic
1038#428C2×D6111yescharacteristic
1039#419—611no—
1040#417—611no—
1041#416—611no—
1042#416—611no—
1043C2×#103—611no—
1044C2×#103—611no—
1045#405—611no—
1046#405—611no—
1047C4×M16—611no—
1048C61#6155611yescharacteristic, complemented, Sylow
1049C2×#41—611no—
1050C2×#41—611no—
1051C2×#41—611no—
1052C2×#41—1221no—
1053C2×#41—1221no—
1054C2×#41—1221no—
1055C22×Q8—611no—
1056C22×Q8—611no—
1057C22×Q8—611no—
1058#137—1224no—
1059#137—1224no—
1060#137—1224no—
1061C2×Q16—611no—
1062C2×Q16—611no—
1063C2×Q16—611no—
1064C2×Q16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16—611no—
1071C2×SD16—611no—
1072C2×SD16—611no—
1073C2×SD16—611no—
1074C2×SD16—611no—
1075C2×SD16—611no—
1076C2×SD16C22×D6111yescharacteristic
1077C2×M16—611no—
1078C2×M16—611no—
1079C2×M16C22×D6111yescharacteristic
1080C2×M16C22×D6111yescharacteristic
1081C22×C8—611no—
1082C22×C8—611no—
1083C4⋊Q8—611no—
1084C4⋊Q8—611no—
1085C4⋊Q8—611no—
1086C4⋊Q8—611no—
1087C4⋊Q8—611no—
1088C4⋊Q8—1221no—
1089C4⋊Q8—1221no—
1090C4⋊Q8—1221no—
1091C4⋊Q8—1221no—
1092C4⋊Q8—1221no—
1093#127—611no—
1094#127—611no—
1095#127—611no—
1096#127—1221no—
1097#127—1221no—
1098#127—1221no—
1099#126—21no—
1100#126—21no—
1101#126—611no—
1102#126—611no—
1103#126—1221no—
1104#126—1221no—
1105#126—1221no—
1106#126—1221no—
1107#126—1221no—
1108#126—1221no—
1109#126—1221no—
1110#126—1221no—
1111#125—21no—
1112#125—611no—
1113#125—611no—
1114#125—611no—
1115#125—1221no—
1116#125—1221no—
1117#125—1221no—
1118#125—1221no—
1119#125—1221no—
1120#125—1221no—
1121#125—1221no—
1122#125—1221no—
1123#125—1221no—
1124#125—1221no—
1125#125—1221no—
1126#125—1221no—
1127#125—1221no—
1128#125C22×D6111yescharacteristic
1129#125C22×D6111yescharacteristic
1130#124—611no—
1131#124—1221no—
1132#124—1221no—
1133#123—21no—
1134#123—21no—
1135#123—611no—
1136#123—611no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144#123—1221no—
1145C22⋊Q8—611no—
1146C22⋊Q8—611no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—1221no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8C22×D6111yescharacteristic
1159C22⋊Q8C22×D6111yescharacteristic
1160#121—21no—
1161#121—611no—
1162#121—611no—
1163#121—611no—
1164#121—611no—
1165#121—611no—
1166#121—1221no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#121—1221no—
1175#121—1221no—
1176#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121—1221no—
1180#121—1221no—
1181#121C22×D6111yescharacteristic
1182#121C22×D6111yescharacteristic
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—611no—
1190C4×Q8—611no—
1191C4×Q8—611no—
1192C4×Q8—611no—
1193C4×Q8—611no—
1194C4×Q8—611no—
1195C4×Q8—611no—
1196C4×Q8—611no—
1197C4×Q8—1221no—
1198C4×Q8—1221no—
1199C4×Q8—1221no—
1200C4×Q8—1221no—
1201C4×Q8—1221no—
1202C4×Q8—1221no—
1203C4×Q8—1221no—
1204C4×Q8—1221no—
1205C4×Q8—1221no—
1206C4×Q8—1221no—
1207C4×Q8—1221no—
1208C4×Q8C22×D6111yescharacteristic
1209C4×D4—21no—
1210C4×D4—611no—
1211C4×D4—611no—
1212C4×D4—611no—
1213C4×D4—611no—
1214C4×D4—611no—
1215C4×D4—611no—
1216C4×D4—611no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4—1221no—
1226C4×D4—1221no—
1227C4×D4—1221no—
1228C4×D4—1221no—
1229C4×D4—1221no—
1230C4×D4—1221no—
1231C4×D4C22×D6111yescharacteristic
1232C4×D4C22×D6111yescharacteristic
1233#117—21no—
1234#117—611no—
1235#117—611no—
1236#117—611no—
1237#117—1221no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117—1221no—
1246#117C22×D6111yescharacteristic
1247#117C22×D6111yescharacteristic
1248C2×C4⋊C4—611no—
1249C2×C4⋊C4—1221no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4—1221no—
1252C2×C4⋊C4C22×D6111yescharacteristic
1253C2×C4⋊C4C22×D6111yescharacteristic
1254C2×C42—611no—
1255C2×C42—1221no—
1256C2×C42—1221no—
1257#107—611no—
1258#107—611no—
1259#107—611no—
1260#107—611no—
1261#107C22×D6111yescharacteristic
1262#107C22×D6111yescharacteristic
1263#107C22×D6111yescharacteristic
1264#107C22×D6111yescharacteristic
1265#106—611no—
1266#106—611no—
1267#106—611no—
1268#106C22×D6111yescharacteristic
1269#106C22×D6111yescharacteristic
1270#106C22×D6111yescharacteristic
1271#106C22×D6111yescharacteristic
1272#106C22×D6111yescharacteristic
1273C4⋊C8—611no—
1274C4⋊C8—611no—
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8C22×D6111yescharacteristic
1279#103—611no—
1280#103—611no—
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103—611no—
1296#103C22×D6111yescharacteristic
1297#103C22×D6111yescharacteristic
1298#103C22×D6111yescharacteristic
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102C22×D6111yescharacteristic
1309#102C22×D6111yescharacteristic
1310#102C22×D6111yescharacteristic
1311C22⋊C8—611no—
1312C22⋊C8—611no—
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8C22×D6111yescharacteristic
1316C22⋊C8C22×D6111yescharacteristic
1317#97—611no—
1318#97—611no—
1319#97—611no—
1320#97—611no—
1321C4×C8—611no—
1322C4×C8—611no—
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8C22×D6111yescharacteristic
1327#41—1222no—
1328#41—1222no—
1329#41—1222no—
1330#41—4882no—
1331#41—4882no—
1332#41—4882no—
1333#41—2441no—
1334#41—2441no—
1335#41—2441no—
1336C2×Q8—611no—
1337C2×Q8—611no—
1338C2×Q8—611no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—1221no—
1342C2×Q8—1221no—
1343C2×Q8—1221no—
1344C2×Q8—1222no—
1345C2×Q8—1222no—
1346C2×Q8—1221no—
1347C2×Q8—1221no—
1348C2×Q8—1222no—
1349C2×Q8—2441no—
1350C2×Q8—2441no—
1351C2×Q8—2441no—
1352C2×Q8C23×D6111yescharacteristic
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—611no—
1356C2×D4—611no—
1357C2×D4—611no—
1358C2×D4—611no—
1359C2×D4—1221no—
1360C2×D4—1221no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—1221no—
1369C2×D4—1221no—
1370C2×D4—1221no—
1371C2×D4—1221no—
1372C2×D4D4×D6111yescharacteristic
1373C2×D4C23×D6111yescharacteristic
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—611no—
1378C22×C4—611no—
1379C22×C4—611no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4—1221no—
1391C22×C4—1221no—
1392C22×C4C23×D6111yescharacteristic
1393C22×C4C23×D6111yescharacteristic
1394Q16—614no—
1395Q16—1222no—
1396Q16—1222no—
1397Q16—1222no—
1398SD16—22no—
1399SD16—1222no—
1400SD16—1222no—
1401SD16—1222no—
1402SD16—1222no—
1403SD16—1222no—
1404SD16—2441no—
1405SD16—2441no—
1406SD16—2441no—
1407SD16—2441no—
1408SD16—2441no—
1409SD16—2441no—
1410M16—22no—
1411M16—22no—
1412M16—1222no—
1413M16—2441no—
1414C2×C8—611no—
1415C2×C8—611no—
1416C2×C8—611no—
1417C2×C8—611no—
1418C2×C8—2441no—
1419C2×C8—2441no—
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C2×C8C23×D6111yescharacteristic
1423C2×C8C23×D6111yescharacteristic
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—611no—
1443C4⋊C4—611no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4D4×D6111yescharacteristic
1475C4⋊C4C23×D6111yescharacteristic
1476C4⋊C4C23×D6111yescharacteristic
1477C4⋊C4C23×D6111yescharacteristic
1478C4⋊C4C23×D6111yescharacteristic
1479C4⋊C4C23×D6111yescharacteristic
1480C4⋊C4C23×D6111yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—611no—
1489C22⋊C4—611no—
1490C22⋊C4—611no—
1491C22⋊C4—611no—
1492C22⋊C4—611no—
1493C22⋊C4—611no—
1494C22⋊C4—611no—
1495C22⋊C4—611no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4D4×D6111yescharacteristic
1511C22⋊C4D4×D6111yescharacteristic
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—611no—
1516C42—611no—
1517C42—611no—
1518C42—611no—
1519C42—611no—
1520C42—1221no—
1521C42—1221no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42—1221no—
1534C42C23×D6111yescharacteristic
1535C23—21no—
1536C23—611no—
1537C23—1221no—
1538C23—1221no—
1539C23C2×D4×D6111yescharacteristic
1540C23C2×D4×D6111yescharacteristic
1541Q8—21no—
1542Q8—21no—
1543Q8—612no—
1544Q8—612no—
1545Q8—1222no—
1546Q8—1221no—
1547Q8—1221no—
1548Q8—1221no—
1549Q8—1221no—
1550Q8—1221no—
1551Q8—1221no—
1552Q8—2442no—
1553Q8—2442no—
1554Q8—2442no—
1555Q8—2442no—
1556Q8—2442no—
1557D4—21no—
1558D4—21no—
1559D4—41no—
1560D4—81no—
1561D4—81no—
1562D4—1222no—
1563D4—1221no—
1564D4—1221no—
1565D4—1221no—
1566D4—1221no—
1567D4—4881no—
1568D4—4881no—
1569D4—4881no—
1570D4—4881no—
1571D4—4881no—
1572D4—4881no—
1573D4—4881no—
1574D4—4881no—
1575D4—4881no—
1576D4—2442no—
1577D4—2441no—
1578D4—2442no—
1579D4—2442no—
1580D4—2442no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—42no—
1593C2×C4—81no—
1594C2×C4—81no—
1595C2×C4—611no—
1596C2×C4—611no—
1597C2×C4—611no—
1598C2×C4—611no—
1599C2×C4—611no—
1600C2×C4—611no—
1601C2×C4—611no—
1602C2×C4—1222no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—1221no—
1610C2×C4—1221no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—4881no—
1616C2×C4—2442no—
1617C2×C4—2442no—
1618C2×C4—2442no—
1619C2×C4—2442no—
1620C2×C4—2441no—
1621C2×C4—2442no—
1622C2×C4—2442no—
1623C2×C4—2442no—
1624C2×C4C2×D4×D6111yescharacteristic
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C24×D6111yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—1221no—
1633C8—1221no—
1634C8—1221no—
1635C8—1221no—
1636C8#41×D6112yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—1221no—
1647C22—1221no—
1648C22—1221no—
1649C22—2441no—
1650C22—2441no—
1651C22—2441no—
1652C22—2441no—
1653C22—2441no—
1654C22—2441no—
1655C22C22×D4×D6111yescharacteristic
1656C4—21no—
1657C4—21no—
1658C4—21no—
1659C4—21no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—612no—
1668C4—1221no—
1669C4—1221no—
1670C4—1221no—
1671C4—1222no—
1672C4—1222no—
1673C4—1221no—
1674C4—1221no—
1675C4—1221no—
1676C4—2441no—
1677C4—2441no—
1678C4—2441no—
1679C4—2441no—
1680C4C2×#41×D6111yescharacteristic
1681C4#1684059911yescharacteristic
1682C2—41no—
1683C2—41no—
1684C2—81no—
1685C2—4881no—
1686C2—4881no—
1687C2—2441no—
1688C2#2145930611yescharacteristic
1689C2#577×D6111yescharacteristic
1690C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3351C2
socleC22×C61C23×D4
prime radical#21459818C2
hypercenter#3351D61
hypocenterC61#61556
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
1. #21459908C2semidirect
3. #21458798C2semidirect
4. #21458707C2semidirect
5. #21458625C2semidirect
6. #21458551C2semidirect
7. #21458399C2semidirect
8. #21458375C2semidirect
9. #21457993C2semidirect
10. #21457984C2semidirect
11. #21457948C2semidirect
12. #21457939C2semidirect
13. #21457756C2semidirect
14. #21457682C2semidirect
15. #21457487C2semidirect
16. #21457482C2semidirect
17. #21457482C2semidirect
18. #21456532C2semidirect
19. #21456449C2semidirect
20. #21456442C2semidirect
21. #21456112C2semidirect
22. #21456106C2semidirect
23. #21456038C2semidirect
24. #21456036C2semidirect
25. #21455885C2semidirect
26. #21455847C2semidirect
27. #21454818C2semidirect
28. #21454660C2semidirect
29. #21454655C2semidirect
30. #21454637C2semidirect
31. C61×#3351C2semidirect
680. Dic244#41semidirect
845. #3351D61semidirect
1048. C61#61556semidirect

Maximal subgroups

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

subgroupindex
#214599082
#214598182
#214587982
#214587072
#214586252
#214585512
#214583992
#214583752
#214579932
#214579842
#214579482
#214579392
#214577562
#214576822
#214574872
#214574822
#214565322
#214564492
#214564422
#214561122
#214561062
#214560382
#214560362
#214558852
#214558472
#214548182
#214546602
#214546552
#214546372
C61×#33512
#6155661