Finite Group Databasebeta

← #30571169

Subgroups — #30571169

Order 15616.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459674C211yesmaximal, characteristic, complemented
2#556×D61C211yesmaximal, characteristic, complemented
3#21458895C211yesmaximal, characteristic, complemented
4#21458894C211yesmaximal, characteristic, complemented
5#21458893C211yesmaximal, characteristic, complemented
6#21458891C211yesmaximal, characteristic, complemented
7#21458889C211yesmaximal, characteristic, complemented
8#21458884C211yesmaximal, characteristic, complemented
9#21458882C211yesmaximal, characteristic, complemented
10#21458665C211yesmaximal, characteristic, complemented
11#21458662C211yesmaximal, characteristic, complemented
12#21458657C211yesmaximal, characteristic, complemented
13#21458654C211yesmaximal, characteristic, complemented
14#21458651C211yesmaximal, characteristic, complemented
15#21458648C211yesmaximal, characteristic, complemented
16#21458643C211yesmaximal, characteristic, complemented
17#21458640C211yesmaximal, characteristic, complemented
18#21456850C211yesmaximal, characteristic, complemented
19#21456842C211yesmaximal, characteristic, complemented
20#21456817C211yesmaximal, characteristic, complemented
21#21456804C211yesmaximal, characteristic
22#21456788C211yesmaximal, characteristic, complemented
23#21456779C211yesmaximal, characteristic, complemented
24#21455961C211yesmaximal, characteristic, complemented
25#21455956C211yesmaximal, characteristic, complemented
26#21455948C211yesmaximal, characteristic, complemented
27#21455939C211yesmaximal, characteristic, complemented
28#21455903C211yesmaximal, characteristic, complemented
29#21455898C211yesmaximal, characteristic, complemented
30#21454901C211yesmaximal, characteristic, complemented
31C61×#3402C211yesmaximal, characteristic, complemented
32#16840494C2211yescharacteristic, complemented
33#16840494C2211yescharacteristic, complemented
34#16840488C2211yescharacteristic, complemented
35#16840488C2211yescharacteristic, complemented
36#16840486C2211yescharacteristic
37#16840486C2211yescharacteristic, complemented
38#16840485C2211yescharacteristic
39#16840484C2211yescharacteristic
40#16840484C2211yescharacteristic
41#16840483—21no—
42#16840482C2211yescharacteristic
43#16840481C2211yescharacteristic
44#16840481C2211yescharacteristic
45#16840480—21no—
46#16840479—21no—
47#16840479—21no—
48#16840479—21no—
49#16840479—21no—
50#16840472C2211yescharacteristic, complemented
51#16840469C2211yescharacteristic, complemented
52#16840454—21no—
53#16840451—21no—
54#16840353—21no—
55#16840353—21no—
56#16840335—21no—
57#16840317C2211yescharacteristic
58#16840309C2211yescharacteristic
59C4⋊Q8×D61C2211yescharacteristic
60#16840299C2211yescharacteristic
61#16840299C2211yescharacteristic
62#16840291C2211yescharacteristic
63#16840291C2211yescharacteristic
64#126×D61—21no—
65#126×D61—21no—
66#124×D61C2211yescharacteristic
67#124×D61C2211yescharacteristic
68C22⋊Q8×D61—21no—
69#16840242—21no—
70C4×Q8×D61C2211yescharacteristic
71C4×Q8×D61C2211yescharacteristic
72C4×Q8×D61C2211yescharacteristic
73C4×D4×D61C2211yescharacteristic
74#117×D61—21no—
75#16840157C2211yescharacteristic, complemented
76#16840155C2211yescharacteristic, complemented
77#16840155C2211yescharacteristic, complemented
78#16840154C2211yescharacteristic
79#16840150C2211yescharacteristic
80#16840148C2211yescharacteristic
81#16840147C2211yescharacteristic
82#16840144C2211yescharacteristic
83#16840143C2211yescharacteristic
84#16840131C2211yescharacteristic, complemented
85#16840130C2211yescharacteristic, complemented
86#16840129C2211yescharacteristic, complemented
87#16840129C2211yescharacteristic, complemented
88#16840123C2211yescharacteristic
89#16840122C2211yescharacteristic
90#16840121C2211yescharacteristic
91#16840120C2211yescharacteristic
92#16840118C2211yescharacteristic
93#16840117C2211yescharacteristic
94#16840116C2211yescharacteristic
95#16840115C2211yescharacteristic
96#16840091C2211yescharacteristic
97#16840091C2211yescharacteristic
98#16840077C2211yescharacteristic
99#16840074C2211yescharacteristic
100#16840070C2211yescharacteristic, complemented
101#16840069C2211yescharacteristic, complemented
102#16840068C2211yescharacteristic, complemented
103#16840067C2211yescharacteristic, complemented
104#16840065C2211yescharacteristic
105#16840064C2211yescharacteristic
106#16840063C2211yescharacteristic
107#16840062C2211yescharacteristic
108#16840056C2211yescharacteristic, complemented
109#16840055C2211yescharacteristic, complemented
110#16840048C2211yescharacteristic, complemented
111#16840047C2211yescharacteristic, complemented
112#16839987C2211yescharacteristic, complemented
113#16839986C2211yescharacteristic
114#16839986C2211yescharacteristic
115#16839986C2211yescharacteristic
116#16839986C2211yescharacteristic, complemented
117#16839984C2211yescharacteristic
118#16839982C2211yescharacteristic
119#16839982C2211yescharacteristic
120#16839982C2211yescharacteristic
121#16839981C2211yescharacteristic, complemented
122#16839980C2211yescharacteristic
123#16839979C2211yescharacteristic
124#16839979C2211yescharacteristic
125#16839978C2211yescharacteristic
126#16839978C2211yescharacteristic
127#16839977C2211yescharacteristic
128#16839975C2211yescharacteristic
129#16839974C2211yescharacteristic
130#16839974C2211yescharacteristic
131#16839974C2211yescharacteristic
132#16839972C2211yescharacteristic, complemented
133#16839970C2211yescharacteristic, complemented
134#16839970C2211yescharacteristic, complemented
135#16839969C2211yescharacteristic, complemented
136#16839968C2211yescharacteristic, complemented
137#16839965C2211yescharacteristic, complemented
138#16839965C2211yescharacteristic, complemented
139#16839964C2211yescharacteristic, complemented
140#16839961C2211yescharacteristic, complemented
141#16839960C2211yescharacteristic, complemented
142#16839916C2211yescharacteristic
143#16839916C2211yescharacteristic
144#16839916C2211yescharacteristic
145#16839916C2211yescharacteristic
146#16839911C2211yescharacteristic
147#16839911C2211yescharacteristic
148#16839902C2211yescharacteristic
149#16839902C2211yescharacteristic
150#16839899C2211yescharacteristic
151#16839899C2211yescharacteristic
152#16839897C2211yescharacteristic
153#16839894C2211yescharacteristic
154#16839893C2211yescharacteristic, complemented
155#16839892C2211yescharacteristic, complemented
156#16839891C2211yescharacteristic, complemented
157#16839891C2211yescharacteristic, complemented
158#16839890C2211yescharacteristic, complemented
159#16839890C2211yescharacteristic, complemented
160#16839889C2211yescharacteristic, complemented
161#16839875C2211yescharacteristic
162#16839874C2211yescharacteristic
163#16839872C2211yescharacteristic
164#16839871C2211yescharacteristic
165#16839869C2211yescharacteristic, complemented
166#16839869C2211yescharacteristic, complemented
167#16839866C2211yescharacteristic, complemented
168#16839866C2211yescharacteristic, complemented
169#16839865C2211yescharacteristic
170#16839864C2211yescharacteristic, complemented
171#16839863C2211yescharacteristic
172#16839862C2211yescharacteristic, complemented
173#16839860C2211yescharacteristic
174#16839860C2211yescharacteristic, complemented
175Q16×Dic61C2211yescharacteristic, complemented
176C4×#11758202C2211yescharacteristic, complemented
177#16839854C2211yescharacteristic, complemented
178#16839853C2211yescharacteristic, complemented
179C4×#11758190C2211yescharacteristic, complemented
180SD16×Dic61C2211yescharacteristic, complemented
181C4×#11758201C2211yescharacteristic, complemented
182#16839818C2211yescharacteristic
183#16839818C2211yescharacteristic
184#16839817C2211yescharacteristic
185#16839817C2211yescharacteristic
186#16839814C2211yescharacteristic
187#16839813C2211yescharacteristic
188C61×#556C2211yescharacteristic
189C61×#556C2211yescharacteristic, complemented
190C61×#497C2211yescharacteristic
191C61×#497C2211yescharacteristic, complemented
192C61×#495C2211yescharacteristic
193C61×#464C2211yescharacteristic
194C61×#464C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#462C2211yescharacteristic, complemented
198C61×#462C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic, complemented
202C4×Q16×C61C2211yescharacteristic, complemented
203C2×#11758222—21no—
204C2×Q8×D61D411yescharacteristic
205C2×Q8×D61C2311yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C2×D4×D61C2311yescharacteristic
208C22×C4×D61—21no—
209C2×#11758202C2311yescharacteristic
210C2×#11758202C2311yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×#11758201C2311yescharacteristic
220C2×#11758201C2311yescharacteristic
221C2×D488C2311yescharacteristic
222C2×#11758199C2311yescharacteristic
223C2×#11758199C2311yescharacteristic
224#14519777C2311yescharacteristic
225#14519777C2311yescharacteristic
226#14519776—21no—
227#14519776—21no—
228#14519776—21no—
229#14519776—21no—
230#14519776C2311yescharacteristic
231#14519775C2311yescharacteristic
232#14519775C2311yescharacteristic
233#14519773C2311yescharacteristic
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519772—21no—
241#14519772—21no—
242#14519772—21no—
243#14519772—21no—
244#14519771—21no—
245#14519771—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770—21no—
249#14519770—21no—
250#14519770—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519769—21no—
255#14519769—21no—
256#14519769C2311yescharacteristic
257#14519769C2311yescharacteristic
258#14519768—21no—
259#14519768—21no—
260#14519768—21no—
261#14519768C2311yescharacteristic
262#14519768C2311yescharacteristic
263#14519766C2311yescharacteristic
264#14519766C2311yescharacteristic
265#14519766C2311yescharacteristic
266#14519766C2311yescharacteristic
267#14519765C2311yescharacteristic
268#14519765C2311yescharacteristic
269#14519764C2311yescharacteristic
270#14519764C2311yescharacteristic
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519762—21no—
279#14519762—21no—
280#14519761—21no—
281#14519761—21no—
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759—21no—
286#14519757—21no—
287#14519757—21no—
288#14519757—21no—
289#14519756—21no—
290#14519756—21no—
291#14519755—21no—
292#14519755—21no—
293#14519755—21no—
294#14519755—21no—
295#14519754—21no—
296#14519754—21no—
297#14519754—21no—
298#14519754—21no—
299#14519753—21no—
300#14519753—21no—
301#14519753C2311yescharacteristic
302#14519753C2311yescharacteristic
303#14519752C2311yescharacteristic
304#14519750—21no—
305#14519748C2311yescharacteristic
306Q8×Dic61D411yescharacteristic
307Q8×Dic61C2311yescharacteristic
308Q8×Dic61C2311yescharacteristic
309Q8×Dic61C2311yescharacteristic
310Q8×Dic61C2311yescharacteristic
311Q8×Dic61C2311yescharacteristic
312Q8×Dic61C2311yescharacteristic
313C4×Dic122—21no—
314C4×Dic122—21no—
315C4×Dic122—21no—
316C4×Dic122—21no—
317C4×Dic122C2311yescharacteristic
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321C4×Dic122C2311yescharacteristic
322#14519742—21no—
323#14519742—21no—
324#14519742—21no—
325#14519742D411yescharacteristic
326#14519742D411yescharacteristic
327#14519742D411yescharacteristic
328#14519742C2311yescharacteristic
329#14519742C2311yescharacteristic
330C4×D244—21no—
331C4×D244—21no—
332C4×D244C2311yescharacteristic
333C4×D244C2311yescharacteristic
334C4×D244C2311yescharacteristic
335C4×D244C2311yescharacteristic
336D4×Dic61C2311yescharacteristic
337D4×Dic61C2311yescharacteristic
338D4×Dic61C2311yescharacteristic
339#14519739C2311yescharacteristic
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342#14519737—21no—
343#14519737—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519736—21no—
348#14519735—21no—
349#14519735—21no—
350#14519735—21no—
351#14519735—21no—
352#14519734—21no—
353#14519734—21no—
354#14519734—21no—
355#14519734—21no—
356#14519733—21no—
357#14519733—21no—
358#14519733—21no—
359#14519733—21no—
360C2×C4⋊Dic61—21no—
361C4⋊C4×D61—21no—
362C4⋊C4×D61—21no—
363C4⋊C4×D61—21no—
364C4⋊C4×D61—21no—
365C4⋊C4×D61—21no—
366C4⋊C4×D61D411yescharacteristic
367C4⋊C4×D61D411yescharacteristic
368C4⋊C4×D61D411yescharacteristic
369C4⋊C4×D61C2311yescharacteristic
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C22⋊C4×D61—21no—
373C22⋊C4×D61—21no—
374C22⋊C4×D61—21no—
375C42×D61—21no—
376C42×D61—21no—
377C42×D61C2311yescharacteristic
378C42×D61C2311yescharacteristic
379C42×D61C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519710C2311yescharacteristic
382#14519710C2311yescharacteristic
383#14519709C2311yescharacteristic
384#14519709C2311yescharacteristic
385#14519708C2311yescharacteristic
386#14519708C2311yescharacteristic
387C4⋊#92418C2311yescharacteristic
388C4⋊#92418C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390#14519706C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519702C2311yescharacteristic
397#14519702C2311yescharacteristic
398#14519702C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519689C2311yescharacteristic
423#14519689C2311yescharacteristic
424#14519689C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519688C2311yescharacteristic
427#14519688C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×Q16×C61C2311yescharacteristic
436C2×Q16×C61C2311yescharacteristic
437C2×Q16×C61C2311yescharacteristic
438C2×Q16×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×D8×C61C2311yescharacteristic
444C4⋊Q8×C61C2311yescharacteristic
445C4⋊Q8×C61C2311yescharacteristic
446#126×C61—21no—
447#126×C61—21no—
448#126×C61—21no—
449#126×C61—21no—
450#124×C61C2311yescharacteristic
451#124×C61C2311yescharacteristic
452#124×C61C2311yescharacteristic
453#124×C61C2311yescharacteristic
454C22⋊Q8×C61—21no—
455C22⋊Q8×C61—21no—
456C4×Q8×C61C2311yescharacteristic
457C4×Q8×C61C2311yescharacteristic
458C4×Q8×C61C2311yescharacteristic
459C4×Q8×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic
462C4×D4×C61C2311yescharacteristic
463#117×C61—21no—
464#117×C61—21no—
465#107×C61C2311yescharacteristic
466C4⋊C8×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C23×D61—21no—
479C2×Q8×C61C2×D411yescharacteristic
480C2×Q8×C61C2411yescharacteristic
481C2×Q8×C61C2411yescharacteristic
482C2×Q8×C61C2411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61C2411yescharacteristic
485C2×D4×C61C2411yescharacteristic
486C22×C4×C61—21no—
487C22×C4×C61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C22×Dic61—21no—
493C22×Dic61—21no—
494C22×Dic61—21no—
495Q8×D61—41no—
496Q8×D61—41no—
497Q8×D61—41no—
498Q8×D61—41no—
499Q8×D61—42no—
500D4×D61—41no—
501D4×D61—41no—
502#11758222—44no—
503C2×D244—21no—
504C2×D244C2411yescharacteristic
505C2×D244C2411yescharacteristic
506C2×C4×D61—21no—
507C2×C4×D61—21no—
508C2×C4×D61—21no—
509C2×C4×D61—21no—
510C2×C4×D61—21no—
511C2×C4×D61—21no—
512C2×C4×D61—21no—
513C2×C4×D61—21no—
514C2×C4×D61—44no—
515C2×C4×D61C2×D411yescharacteristic
516C2×C4×D61C2×D411yescharacteristic
517C2×C4×D61C2×D411yescharacteristic
518C2×C4×D61C2×D411yescharacteristic
519C2×C4×D61C2×D411yescharacteristic
520C2×C4×D61C2×D411yescharacteristic
521C2×C4×D61C2411yescharacteristic
522C2×Dic122—21no—
523C2×Dic122—21no—
524C2×Dic122—21no—
525C2×Dic122—21no—
526C2×Dic122C2×D411yescharacteristic
527C2×Dic122C2×D411yescharacteristic
528C2×Dic122C2×D411yescharacteristic
529C2×Dic122C2411yescharacteristic
530C2×Dic122C2411yescharacteristic
531Q16×C61—41no—
532Q16×C61—41no—
533Q16×C61—41no—
534Q16×C61—41no—
535SD16×C61—41no—
536SD16×C61—41no—
537SD16×C61—41no—
538SD16×C61—41no—
539D8×C61—41no—
540C2×C8×C61C2411yescharacteristic
541C2×C8×C61C2411yescharacteristic
542C2×C8×C61C2411yescharacteristic
543C2×C8×C61C2411yescharacteristic
544C4⋊C4×C61—21no—
545C4⋊C4×C61—21no—
546C4⋊C4×C61—21no—
547C4⋊C4×C61—21no—
548C4⋊C4×C61—21no—
549C4⋊C4×C61—21no—
550C4⋊C4×C61—21no—
551C4⋊C4×C61—21no—
552C4⋊C4×C61C2×D411yescharacteristic
553C4⋊C4×C61C2×D411yescharacteristic
554C4⋊C4×C61C2×D411yescharacteristic
555C4⋊C4×C61C2411yescharacteristic
556C4⋊C4×C61C2411yescharacteristic
557C22⋊C4×C61—21no—
558C22⋊C4×C61—21no—
559C22⋊C4×C61—21no—
560C22⋊C4×C61—21no—
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C42×C61—21no—
568C42×C61—21no—
569C42×C61—21no—
570C42×C61—21no—
571C42×C61C2411yescharacteristic
572C42×C61C2411yescharacteristic
573C42×C61C2411yescharacteristic
574C22⋊Dic61—21no—
575C22⋊Dic61—21no—
576C22⋊Dic61—21no—
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582#11758202—41no—
583#11758202—41no—
584#11758202—41no—
585#11758202—41no—
586#11758201—41no—
587#11758201—41no—
588#11758201—41no—
589#11758201—41no—
590#11758200—41no—
591#11758200—41no—
592#11758199—41no—
593#11758199—41no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
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#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61C2×D411yescharacteristic
626C4⋊Dic61C2×D411yescharacteristic
627C4⋊Dic61C2×D411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653#11758196C2×D411yescharacteristic
654#11758196C2×D411yescharacteristic
655#11758196C2×D411yescharacteristic
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×Dic61C2×D411yescharacteristic
667C4×Dic61C2×D411yescharacteristic
668C4×Dic61C2×D411yescharacteristic
669C4×Dic61C2×D411yescharacteristic
670C4×Dic61C2×D411yescharacteristic
671C4×Dic61C2×D411yescharacteristic
672C4×Dic61C2411yescharacteristic
673C4×Dic61C2411yescharacteristic
674C4×Dic61C2411yescharacteristic
675C2×#92418C2411yescharacteristic
676C2×#92418C2411yescharacteristic
677C2×#92418C2411yescharacteristic
678C2×#92418C2411yescharacteristic
679D488—41no—
680#11758190—41no—
681#11758190—41no—
682C23×C61—21no—
683C23×C61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—42no—
687C22×D61—42no—
688C22×D61—42no—
689C22×D61C22×D411yescharacteristic
690Q8×C61—21no—
691Q8×C61—21no—
692Q8×C61—21no—
693Q8×C61—21no—
694Q8×C61—21no—
695Q8×C61—21no—
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—41no—
699D4×C61—21no—
700D4×C61—21no—
701D4×C61—21no—
702D4×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—42no—
710C2×C4×C61—42no—
711C2×C4×C61C22×D411yescharacteristic
712C2×C4×C61C22×D411yescharacteristic
713C2×C4×C61C22×D411yescharacteristic
714C2×C4×C61C22×D411yescharacteristic
715C2×C4×C61C22×D411yescharacteristic
716C2×C4×C61C22×D411yescharacteristic
717C2×C4×C61C2511yescharacteristic
718C22⋊D61—42no—
719C22⋊D61—42no—
720C22⋊D61—42no—
721C22⋊D61—81no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—42no—
729C2×Dic61—81no—
730C2×Dic61—81no—
731C2×Dic61C22×D411yescharacteristic
732C2×Dic61C22×D411yescharacteristic
733C2×Dic61C22×D411yescharacteristic
734C2×Dic61C22×D411yescharacteristic
735C2×Dic61C22×D411yescharacteristic
736C2×Dic61C22×D411yescharacteristic
737C2×Dic61C22×D411yescharacteristic
738D244—21no—
739D244—21no—
740D244—21no—
741D244—21no—
742D244—42no—
743C4×D61—22no—
744C4×D61—22no—
745C4×D61—22no—
746C4×D61—21no—
747C4×D61—21no—
748C4×D61—41no—
749C4×D61—41no—
750C4×D61—41no—
751C4×D61—42no—
752C4×D61—42no—
753C4×D61—42no—
754C4×D61—42no—
755C4×D61—42no—
756C4×D61—42no—
757C4×D61—81no—
758C4×D61—81no—
759Dic122—21no—
760Dic122—21no—
761Dic122—21no—
762Dic122—21no—
763Dic122—41no—
764Dic122—41no—
765Dic122—41no—
766Dic122—42no—
767Dic122—42no—
768Dic122—42no—
769Dic122—81no—
770C8×C61—21no—
771C8×C61—21no—
772C8×C61—21no—
773C8×C61—21no—
774#92418—21no—
775#92418—21no—
776#92418—21no—
777#92418—21no—
778#61894—611nomaximal, Sylow
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61—41no—
784C22×C61—41no—
785C22×C61C23×D411yescharacteristic
786C2×D61—21no—
787C2×D61—21no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—84no—
795C2×D61#57512yes—
796C4×C61—21no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808C4×C61#58511yescharacteristic
809C4×C61#58511yescharacteristic
810Dic61—21no—
811Dic61—21no—
812Dic61—21no—
813Dic61—21no—
814Dic61—21no—
815Dic61—21no—
816Dic61—21no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823#3507—611no—
824C2×#556—611no—
825#3402—611no—
826#3402—611no—
827#3402—611no—
828#3402D6111yescharacteristic, complemented
829#3401—611no—
830#3401—611no—
831#3401—611no—
832#3401—611no—
833#3377—611no—
834#3377—611no—
835#3377—611no—
836#3377—611no—
837#3376—611no—
838#3376—611no—
839#3376—611no—
840#3376—611no—
841#3218—611no—
842#3218—611no—
843#3215—611no—
844#3213—611no—
845#3211—611no—
846#3211—611no—
847#3114—611no—
848#3114—611no—
849#3113—611no—
850#3112—611no—
851#3108—611no—
852#3108—611no—
853#2983—611no—
854C2×C61—81no—
855C2×C61—81no—
856C2×C61#348711yescharacteristic
857C2×C61C2×#57511yescharacteristic
858C2×C61#358611yescharacteristic
859D61—22no—
860D61—81no—
861D61—81no—
862#559—611no—
863#559—611no—
864#557—611no—
865#557—611no—
866#556—611no—
867#556—611no—
868#556—611no—
869#556—611no—
870#556—611no—
871#556—611no—
872#556—611no—
873#556—611no—
874#556—1221no—
875#556—1221no—
876#556—1221no—
877#556—1221no—
878#556—1221no—
879#556—1221no—
880#556C2×D6111yescharacteristic
881#556C2×D6111yescharacteristic, complemented
882#554—611no—
883#554—611no—
884#552—1221no—
885#552—1221no—
886#539—1221no—
887#539—1221no—
888#536—1221no—
889#533—611no—
890#532—611no—
891C2×C4⋊Q8—611no—
892#529—611no—
893#529—611no—
894#529—611no—
895#529—611no—
896C2×#126—1221no—
897C2×#126—1221no—
898C2×#124—611no—
899C2×#124—611no—
900C2×C22⋊Q8—1221no—
901#520—1221no—
902C2×C4×Q8—611no—
903C2×C4×Q8—611no—
904C2×C4×Q8—611no—
905C2×C4×D4—611no—
906C2×#117—1221no—
907#497—611no—
908#497—611no—
909#497—611no—
910#497—611no—
911#497C2×D6111yescharacteristic
912#497C2×D6111yescharacteristic, complemented
913#496—611no—
914#496—611no—
915#495—611no—
916#495—611no—
917#495—611no—
918#495C2×D6111yescharacteristic
919#491—611no—
920#491—611no—
921#491—611no—
922#491—611no—
923#489—611no—
924#489—611no—
925#489—611no—
926#489—611no—
927#488—611no—
928#488—611no—
929#488—611no—
930#488—611no—
931#483—611no—
932#483—611no—
933#480—611no—
934#480—611no—
935#479—611no—
936#479—611no—
937#479—611no—
938#479—611no—
939#478—611no—
940#478—611no—
941#478—611no—
942#478—611no—
943#477—611no—
944#477—611no—
945#475—611no—
946#475—611no—
947#464—611no—
948#464—611no—
949#464—611no—
950#464—611no—
951#464—611no—
952#464—611no—
953#464—611no—
954#464—611no—
955#464—611no—
956#464—611no—
957#464C2×D6111yescharacteristic
958#464C2×D6111yescharacteristic, complemented
959#463—611no—
960#463—611no—
961#463—611no—
962#463—611no—
963#463—611no—
964#463—611no—
965#463—611no—
966#463—611no—
967#463—611no—
968#463—611no—
969#463C2×D6111yescharacteristic
970#463C2×D6111yescharacteristic
971#462—611no—
972#462—611no—
973#462—611no—
974#462—611no—
975#462C2×D6111yescharacteristic, complemented
976#462C2×D6111yescharacteristic, complemented
977#461—611no—
978#461—611no—
979#461—611no—
980#461—611no—
981#460—611no—
982#460—611no—
983#451—611no—
984#451—611no—
985#451—611no—
986#451—611no—
987#450—611no—
988#450—611no—
989#448—611no—
990#448—611no—
991#448—611no—
992#448—611no—
993#447—611no—
994#447—611no—
995#446—611no—
996#446—611no—
997#446—611no—
998#446—611no—
999#446—611no—
1000#446—611no—
1001#446—611no—
1002#446C2×D6111yescharacteristic, complemented
1003#442—611no—
1004#442—611no—
1005#442—611no—
1006#442—611no—
1007#441—611no—
1008#441—611no—
1009#441—611no—
1010#441—611no—
1011#440—611no—
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015#440—611no—
1016#440—611no—
1017#440C2×D6111yescharacteristic
1018#440C2×D6111yescharacteristic, complemented
1019C4×Q16—611no—
1020C4×Q16—611no—
1021C4×Q16—611no—
1022C4×Q16C2×D6111yescharacteristic, complemented
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×SD16—611no—
1026C4×SD16—611no—
1027#432—611no—
1028#432—611no—
1029#432—611no—
1030#432—611no—
1031#431—611no—
1032#431—611no—
1033C61#6189411yescharacteristic, complemented, Sylow
1034C2×#41—1221no—
1035C22×Q8—611no—
1036C22×Q8—611no—
1037C22×Q8—611no—
1038C22×D4—611no—
1039C23×C4—1221no—
1040C2×Q16—611no—
1041C2×Q16—611no—
1042C2×Q16—611no—
1043C2×Q16—611no—
1044C2×Q16C22×D6111yescharacteristic
1045C2×Q16C22×D6111yescharacteristic
1046C2×Q16C22×D6111yescharacteristic
1047C2×Q16C22×D6111yescharacteristic
1048C2×SD16—611no—
1049C2×SD16—611no—
1050C2×SD16—611no—
1051C2×SD16—611no—
1052C2×SD16—611no—
1053C2×SD16—611no—
1054C2×SD16—611no—
1055C2×SD16—611no—
1056C2×SD16C22×D6111yescharacteristic
1057C2×SD16C22×D6111yescharacteristic
1058C2×SD16C22×D6111yescharacteristic
1059C2×SD16C22×D6111yescharacteristic
1060C2×D8—611no—
1061C2×D8—611no—
1062C2×D8—611no—
1063C2×D8C22×D6111yescharacteristic
1064C4⋊Q8—611no—
1065C4⋊Q8—611no—
1066C4⋊Q8—611no—
1067C4⋊Q8—611no—
1068C4⋊Q8—611no—
1069C4⋊Q8—1221no—
1070C4⋊Q8—1221no—
1071C4⋊Q8—1221no—
1072C4⋊Q8—1221no—
1073C4⋊Q8C22×D6111yescharacteristic
1074C4⋊Q8C22×D6111yescharacteristic
1075#127—611no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126—21no—
1080#126—1221no—
1081#126—1221no—
1082#126—1221no—
1083#126—1221no—
1084#126—1221no—
1085#126—1221no—
1086#126—1221no—
1087#126—1221no—
1088#126—1221no—
1089#126—1221no—
1090#126—1221no—
1091#126—1221no—
1092#126—1221no—
1093#126—1221no—
1094#126—1221no—
1095#126—1221no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#125—611no—
1101#125—611no—
1102#125—611no—
1103#125—611no—
1104#125—1221no—
1105#125—1221no—
1106#125—1221no—
1107#125—1221no—
1108#125—1221no—
1109#124—611no—
1110#124—611no—
1111#124—611no—
1112#124—611no—
1113#124—611no—
1114#124—611no—
1115#124—611no—
1116#124—611no—
1117#124—1221no—
1118#124—1221no—
1119#124—1221no—
1120#124—1221no—
1121#124—1221no—
1122#124—1221no—
1123#124—1221no—
1124#124C22×D6111yescharacteristic
1125#124C22×D6111yescharacteristic
1126#124C22×D6111yescharacteristic
1127#124C22×D6111yescharacteristic
1128#123—1221no—
1129#123—1221no—
1130#123—1221no—
1131#123—1221no—
1132#123—1221no—
1133#123—1221no—
1134#123—1221no—
1135#123—1221no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—611no—
1139C22⋊Q8—611no—
1140C22⋊Q8—1221no—
1141C22⋊Q8—1221no—
1142C22⋊Q8—1221no—
1143C22⋊Q8—1221no—
1144C22⋊Q8—1221no—
1145C22⋊Q8—1221no—
1146C22⋊Q8—1221no—
1147C22⋊Q8—1221no—
1148C22⋊Q8—1221no—
1149C22⋊Q8—1221no—
1150C22⋊Q8—1221no—
1151C22⋊Q8—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155#121—611no—
1156#121—611no—
1157#121—1221no—
1158C4×Q8—611no—
1159C4×Q8—611no—
1160C4×Q8—611no—
1161C4×Q8—611no—
1162C4×Q8—611no—
1163C4×Q8—611no—
1164C4×Q8—611no—
1165C4×Q8—611no—
1166C4×Q8—611no—
1167C4×Q8—611no—
1168C4×Q8—611no—
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—611no—
1175C4×Q8—1221no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8—1221no—
1180C4×Q8—1221no—
1181C4×Q8—1221no—
1182C4×Q8C22×D6111yescharacteristic
1183C4×Q8C22×D6111yescharacteristic
1184C4×Q8C22×D6111yescharacteristic
1185C4×Q8C22×D6111yescharacteristic
1186C4×Q8C22×D6111yescharacteristic
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—611no—
1192C4×D4—611no—
1193C4×D4—611no—
1194C4×D4—611no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4C22×D6111yescharacteristic
1205C4×D4C22×D6111yescharacteristic
1206#117—21no—
1207#117—21no—
1208#117—1221no—
1209#117—1221no—
1210#117—1221no—
1211#117—1221no—
1212#117—1221no—
1213#117—1221no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221C2×C4⋊C4—611no—
1222C2×C4⋊C4—611no—
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—1221no—
1226C2×C4⋊C4—1221no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C4⋊C4—1221no—
1231C2×C22⋊C4—1221no—
1232C2×C22⋊C4—1221no—
1233C2×C22⋊C4—1221no—
1234C2×C22⋊C4—1221no—
1235C2×C22⋊C4—1221no—
1236C2×C42—611no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—1221no—
1240C2×C42—1221no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#107C22×D6111yescharacteristic
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249C4⋊C8—611no—
1250C4⋊C8—611no—
1251C4⋊C8—611no—
1252C4⋊C8—611no—
1253C4⋊C8—611no—
1254C4⋊C8—611no—
1255C4⋊C8—611no—
1256C4⋊C8—611no—
1257C4⋊C8—611no—
1258C4⋊C8C22×D6111yescharacteristic
1259C4⋊C8C22×D6111yescharacteristic
1260C4⋊C8C22×D6111yescharacteristic
1261#103—611no—
1262#103—611no—
1263#103—611no—
1264#103—611no—
1265#103—611no—
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#103—611no—
1277#103C22×D6111yescharacteristic
1278#103C22×D6111yescharacteristic
1279#103C22×D6111yescharacteristic
1280#103C22×D6111yescharacteristic
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102C22×D6111yescharacteristic
1292#102C22×D6111yescharacteristic
1293C22⋊C8—611no—
1294C22⋊C8—611no—
1295C22⋊C8—611no—
1296C22⋊C8—611no—
1297#97—611no—
1298#97—611no—
1299#97—611no—
1300#97—611no—
1301#97—611no—
1302#97—611no—
1303#97C22×D6111yescharacteristic
1304#97C22×D6111yescharacteristic
1305C4×C8—611no—
1306C4×C8—611no—
1307C4×C8—611no—
1308C4×C8C22×D6111yescharacteristic
1309C24—1221no—
1310#41—2444no—
1311C2×Q8—611no—
1312C2×Q8—611no—
1313C2×Q8—611no—
1314C2×Q8—611no—
1315C2×Q8—611no—
1316C2×Q8—1221no—
1317C2×Q8—1221no—
1318C2×Q8—1221no—
1319C2×Q8—1221no—
1320C2×Q8—2442no—
1321C2×Q8—2441no—
1322C2×Q8—2441no—
1323C2×Q8—2441no—
1324C2×Q8—2441no—
1325C2×Q8D4×D6111yescharacteristic
1326C2×Q8C23×D6111yescharacteristic
1327C2×Q8C23×D6111yescharacteristic
1328C2×Q8C23×D6111yescharacteristic
1329C2×Q8C23×D6111yescharacteristic
1330C2×D4—611no—
1331C2×D4—611no—
1332C2×D4—1221no—
1333C2×D4—1221no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—2441no—
1338C2×D4—2441no—
1339C2×D4C23×D6111yescharacteristic
1340C2×D4C23×D6111yescharacteristic
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—611no—
1344C22×C4—611no—
1345C22×C4—611no—
1346C22×C4—611no—
1347C22×C4—611no—
1348C22×C4—611no—
1349C22×C4—611no—
1350C22×C4—1221no—
1351C22×C4—1221no—
1352C22×C4—1221no—
1353C22×C4—1221no—
1354C22×C4—1221no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—2444no—
1362Q16—41no—
1363Q16—41no—
1364Q16—41no—
1365Q16—41no—
1366Q16—2441no—
1367Q16—2441no—
1368Q16—2441no—
1369Q16—2441no—
1370SD16—41no—
1371SD16—41no—
1372SD16—41no—
1373SD16—41no—
1374SD16—2441no—
1375SD16—2441no—
1376SD16—2441no—
1377SD16—2441no—
1378SD16—2441no—
1379SD16—2441no—
1380SD16—2441no—
1381SD16—2441no—
1382D8—41no—
1383D8—2441no—
1384D8—2441no—
1385D8—2441no—
1386C2×C8—611no—
1387C2×C8—611no—
1388C2×C8—611no—
1389C2×C8—611no—
1390C2×C8C23×D6111yescharacteristic
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—611no—
1406C4⋊C4—611no—
1407C4⋊C4—611no—
1408C4⋊C4—611no—
1409C4⋊C4—611no—
1410C4⋊C4—611no—
1411C4⋊C4—611no—
1412C4⋊C4—611no—
1413C4⋊C4—611no—
1414C4⋊C4—611no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4D4×D6111yescharacteristic
1445C4⋊C4D4×D6111yescharacteristic
1446C4⋊C4D4×D6111yescharacteristic
1447C4⋊C4C23×D6111yescharacteristic
1448C4⋊C4C23×D6111yescharacteristic
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
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—1221no—
1476C22⋊C4—1221no—
1477C22⋊C4—1221no—
1478C22⋊C4—1221no—
1479C22⋊C4—1221no—
1480C22⋊C4—1221no—
1481C22⋊C4—1221no—
1482C22⋊C4—1221no—
1483C22⋊C4—1221no—
1484C22⋊C4—1221no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
1487C42—21no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—611no—
1492C42—611no—
1493C42—611no—
1494C42—611no—
1495C42—611no—
1496C42—611no—
1497C42—611no—
1498C42—611no—
1499C42—611no—
1500C42—1221no—
1501C42—1221no—
1502C42—1221no—
1503C42—1221no—
1504C42—1221no—
1505C42—1221no—
1506C42—1221no—
1507C42—1221no—
1508C42—1221no—
1509C42—1221no—
1510C42C23×D6111yescharacteristic
1511C42C23×D6111yescharacteristic
1512C42C23×D6111yescharacteristic
1513C23—21no—
1514C23—21no—
1515C23—611no—
1516C23—1221no—
1517C23—1221no—
1518C23—2442no—
1519C23—2442no—
1520C23—2442no—
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—21no—
1529Q8—41no—
1530Q8—1221no—
1531Q8—1221no—
1532Q8—1221no—
1533Q8—1221no—
1534Q8—4881no—
1535Q8—2441no—
1536Q8—2441no—
1537Q8—2441no—
1538Q8—2442no—
1539Q8—2442no—
1540Q8—2442no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—1221no—
1546D4—1221no—
1547D4—1221no—
1548D4—1221no—
1549D4—4881no—
1550D4—2442no—
1551D4—2442no—
1552D4—2442no—
1553D4—2442no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—42no—
1561C2×C4—42no—
1562C2×C4—611no—
1563C2×C4—611no—
1564C2×C4—611no—
1565C2×C4—611no—
1566C2×C4—611no—
1567C2×C4—611no—
1568C2×C4—611no—
1569C2×C4—1222no—
1570C2×C4—1222no—
1571C2×C4—1222no—
1572C2×C4—1221no—
1573C2×C4—1221no—
1574C2×C4—1221no—
1575C2×C4—1221no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—4881no—
1583C2×C4—4881no—
1584C2×C4—2441no—
1585C2×C4—2441no—
1586C2×C4—2441no—
1587C2×C4—2442no—
1588C2×C4—2442no—
1589C2×C4—2442no—
1590C2×C4—2442no—
1591C2×C4—2442no—
1592C2×C4—2442no—
1593C2×C4—2442no—
1594C2×C4C2×D4×D6111yescharacteristic
1595C2×C4C2×D4×D6111yescharacteristic
1596C2×C4C2×D4×D6111yescharacteristic
1597C2×C4C2×D4×D6111yescharacteristic
1598C2×C4C2×D4×D6111yescharacteristic
1599C2×C4C2×D4×D6111yescharacteristic
1600C2×C4C24×D6111yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—1221no—
1606C8—1221no—
1607C8—1221no—
1608C8—1221no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—612no—
1616C22—1221no—
1617C22—1221no—
1618C22—4884no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22C22×D4×D6111yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—1221no—
1639C4—1221no—
1640C4—1221no—
1641C4—1221no—
1642C4—1221no—
1643C4—1221no—
1644C4—1221no—
1645C4—2441no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C4#1684059711yescharacteristic
1652C4#1684059811yescharacteristic
1653C2—81no—
1654C2—81no—
1655C2—1222no—
1656C2—4881no—
1657C2—4881no—
1658C2#2145947211yescharacteristic
1659C2#575×D6111yescharacteristic
1660C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3402C2
socleC22×C61C23×D4
prime radical#21456804C2
hypercenter#3402D61
hypocenterC61#61894
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3402

Complements

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

NH ≅ G/Ntype
1. #21459674C2semidirect
2. #556×D61C2semidirect
3. #21458895C2semidirect
4. #21458894C2semidirect
5. #21458893C2semidirect
6. #21458891C2semidirect
7. #21458889C2semidirect
8. #21458884C2semidirect
9. #21458882C2semidirect
10. #21458665C2semidirect
11. #21458662C2semidirect
12. #21458657C2semidirect
13. #21458654C2semidirect
14. #21458651C2semidirect
15. #21458648C2semidirect
16. #21458643C2semidirect
17. #21458640C2semidirect
18. #21456850C2semidirect
19. #21456842C2semidirect
20. #21456817C2semidirect
22. #21456788C2semidirect
23. #21456779C2semidirect
24. #21455961C2semidirect
25. #21455956C2semidirect
26. #21455948C2semidirect
27. #21455939C2semidirect
28. #21455903C2semidirect
29. #21455898C2semidirect
30. #21454901C2semidirect
31. C61×#3402C2semidirect
32. #16840494C22semidirect
33. #16840494C22semidirect
34. #16840488C22semidirect
35. #16840488C22semidirect
37. #16840486C22semidirect
50. #16840472C22semidirect
51. #16840469C22semidirect
75. #16840157C22semidirect
76. #16840155C22semidirect
77. #16840155C22semidirect
84. #16840131C22semidirect
85. #16840130C22semidirect
86. #16840129C22semidirect
87. #16840129C22semidirect
100. #16840070C22semidirect
101. #16840069C22semidirect
102. #16840068C22semidirect
103. #16840067C22semidirect
108. #16840056C22semidirect
109. #16840055C22semidirect
110. #16840048C22semidirect
111. #16840047C22semidirect
112. #16839987C22semidirect
116. #16839986C22semidirect
121. #16839981C22semidirect
132. #16839972C22semidirect
133. #16839970C22semidirect
134. #16839970C22semidirect
135. #16839969C22semidirect
136. #16839968C22semidirect
137. #16839965C22semidirect
138. #16839965C22semidirect
139. #16839964C22semidirect
140. #16839961C22semidirect
141. #16839960C22semidirect
154. #16839893C22semidirect
155. #16839892C22semidirect
156. #16839891C22semidirect
157. #16839891C22semidirect
158. #16839890C22semidirect
159. #16839890C22semidirect
160. #16839889C22semidirect
165. #16839869C22semidirect
166. #16839869C22semidirect
167. #16839866C22semidirect
168. #16839866C22semidirect
170. #16839864C22semidirect
172. #16839862C22semidirect
174. #16839860C22semidirect
175. Q16×Dic61C22semidirect
176. C4×#11758202C22semidirect
177. #16839854C22semidirect
178. #16839853C22semidirect
179. C4×#11758190C22semidirect
180. SD16×Dic61C22semidirect
181. C4×#11758201C22semidirect
189. C61×#556C22semidirect
191. C61×#497C22semidirect
194. C61×#464C22semidirect
197. C61×#462C22semidirect
198. C61×#462C22semidirect
199. C61×#446C22semidirect
201. C61×#440C22semidirect
202. C4×Q16×C61C22semidirect
828. #3402D61semidirect
881. #556C2×D61semidirect
912. #497C2×D61semidirect
958. #464C2×D61semidirect
975. #462C2×D61semidirect
976. #462C2×D61semidirect
1002. #446C2×D61semidirect
1018. #440C2×D61semidirect
1022. C4×Q16C2×D61semidirect
1033. C61#61894semidirect

Maximal subgroups

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

subgroupindex
#214596742
#556×D612
#214588952
#214588942
#214588932
#214588912
#214588892
#214588842
#214588822
#214586652
#214586622
#214586572
#214586542
#214586512
#214586482
#214586432
#214586402
#214568502
#214568422
#214568172
#214568042
#214567882
#214567792
#214559612
#214559562
#214559482
#214559392
#214559032
#214558982
#214549012
C61×#34022
#6189461