Finite Group Databasebeta

← #30573490

Subgroups — #30573490

Order 15616.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460393C211yesmaximal, characteristic, complemented
2#21459818C211yesmaximal, characteristic, complemented
3#21458865C211yesmaximal, characteristic, complemented
4#21458840C211yesmaximal, characteristic, complemented
5#21458659C211yesmaximal, characteristic, complemented
6#21458582C211yesmaximal, characteristic, complemented
7#21457808C211yesmaximal, characteristic, complemented
8#21457791C211yesmaximal, characteristic, complemented
9#21457781C211yesmaximal, characteristic, complemented
10#21457715C211yesmaximal, characteristic, complemented
11#21457672C211yesmaximal, characteristic, complemented
12#21457575C211yesmaximal, characteristic, complemented
13#21457547C211yesmaximal, characteristic, complemented
14#21457411C211yesmaximal, characteristic, complemented
15#21457409C211yesmaximal, characteristic, complemented
16#21457363C211yesmaximal, characteristic, complemented
17#21457356C211yesmaximal, characteristic, complemented
18#21457264C211yesmaximal, characteristic, complemented
19#21457255C211yesmaximal, characteristic, complemented
20#21457138C211yesmaximal, characteristic, complemented
21#21456878C211yesmaximal, characteristic, complemented
22#21456870C211yesmaximal, characteristic, complemented
23#21456811C211yesmaximal, characteristic, complemented
24#21456037C211yesmaximal, characteristic, complemented
25#21456021C211yesmaximal, characteristic, complemented
26#21455923C211yesmaximal, characteristic, complemented
27#21455368C211yesmaximal, characteristic, complemented
28#21455353C211yesmaximal, characteristic, complemented
29#21455272C211yesmaximal, characteristic, complemented
30#21454959C211yesmaximal, characteristic, complemented
31C61×#3309C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic, complemented
33C2×#14519801C2211yescharacteristic
34C2×#14519799C2211yescharacteristic
35C2×#14519797C2211yescharacteristic
36C2×#14519797C2211yescharacteristic, complemented
37C2×#14519796C2211yescharacteristic
38#16840507—21no—
39#16840499—21no—
40#16840498C2211yescharacteristic
41#16840489C2211yescharacteristic, complemented
42#16840484C2211yescharacteristic
43#16840463—21no—
44#16840461—21no—
45#16840456C2211yescharacteristic
46#16840455—21no—
47#16840441—21no—
48#16840433C2211yescharacteristic, complemented
49#16840433C2211yescharacteristic, complemented
50#16840430—21no—
51#16840430C2211yescharacteristic
52#16840430C2211yescharacteristic
53#16840421C2211yescharacteristic
54#16840418C2211yescharacteristic
55#16840413C2211yescharacteristic
56#16840411C2211yescharacteristic
57#16840410—21no—
58#16840409C2211yescharacteristic
59#16840400C2211yescharacteristic
60#16840370C2211yescharacteristic
61#16840368C2211yescharacteristic
62#16840366—21no—
63#16840365C2211yescharacteristic
64#16840365C2211yescharacteristic, complemented
65#16840364—21no—
66#16840362—21no—
67#16840354—21no—
68#16840349—21no—
69#16840344—21no—
70#16840333C2211yescharacteristic
71#16840325C2211yescharacteristic
72#16840309—21no—
73#16840308C2211yescharacteristic
74#16840307C2211yescharacteristic, complemented
75#16840295—21no—
76#16840293C2211yescharacteristic
77#16840292C2211yescharacteristic
78#16840243C2211yescharacteristic, complemented
79#16840241C2211yescharacteristic
80#16840230C2211yescharacteristic, complemented
81#16840151C2211yescharacteristic
82#16840150C2211yescharacteristic
83#16840150C2211yescharacteristic, complemented
84#16840148C2211yescharacteristic
85#16840138C2211yescharacteristic
86#16840133C2211yescharacteristic, complemented
87#16840129C2211yescharacteristic, complemented
88#16840123C2211yescharacteristic
89#16840120C2211yescharacteristic, complemented
90#16840119C2211yescharacteristic
91#16840115C2211yescharacteristic
92#16840103C2211yescharacteristic, complemented
93#16840099C2211yescharacteristic
94#16840091C2211yescharacteristic
95#16840080C2211yescharacteristic
96#16840068C2211yescharacteristic, complemented
97#16840066C2211yescharacteristic, complemented
98#16840065C2211yescharacteristic, complemented
99#16840064C2211yescharacteristic, complemented
100#16840064C2211yescharacteristic, complemented
101#16840061C2211yescharacteristic
102#16840061C2211yescharacteristic, complemented
103#16840056C2211yescharacteristic, complemented
104#16840050C2211yescharacteristic
105#16840015C2211yescharacteristic
106#16840011C2211yescharacteristic
107#16840009C2211yescharacteristic
108#16839996C2211yescharacteristic
109#16839996C2211yescharacteristic
110#16839996C2211yescharacteristic, complemented
111#16839994C2211yescharacteristic
112#16839992C2211yescharacteristic
113#16839991C2211yescharacteristic, complemented
114#16839989C2211yescharacteristic, complemented
115#16839987C2211yescharacteristic
116#16839985C2211yescharacteristic
117#16839983C2211yescharacteristic
118#16839983C2211yescharacteristic
119#16839983C2211yescharacteristic, complemented
120#16839980C2211yescharacteristic
121#16839977C2211yescharacteristic
122#16839976C2211yescharacteristic
123#16839976C2211yescharacteristic
124#16839976C2211yescharacteristic
125#16839976C2211yescharacteristic, complemented
126#16839975C2211yescharacteristic
127#16839971C2211yescharacteristic, complemented
128#16839971C2211yescharacteristic, complemented
129#16839966C2211yescharacteristic, complemented
130#16839966C2211yescharacteristic, complemented
131#16839966C2211yescharacteristic, complemented
132#16839965C2211yescharacteristic, complemented
133#16839963C2211yescharacteristic, complemented
134#16839962C2211yescharacteristic, complemented
135#16839961C2211yescharacteristic
136#16839961C2211yescharacteristic, complemented
137#16839959C2211yescharacteristic
138#16839956C2211yescharacteristic
139#16839956C2211yescharacteristic
140#16839956C2211yescharacteristic
141#16839955C2211yescharacteristic
142#16839955C2211yescharacteristic
143#16839955C2211yescharacteristic, complemented
144#16839926C2211yescharacteristic, complemented
145#16839925C2211yescharacteristic
146#16839921C2211yescharacteristic
147#16839909C2211yescharacteristic
148#16839909C2211yescharacteristic
149#16839908C2211yescharacteristic
150#16839908C2211yescharacteristic
151#16839907C2211yescharacteristic
152#16839907C2211yescharacteristic, complemented
153#16839905C2211yescharacteristic
154#16839905C2211yescharacteristic
155#16839905C2211yescharacteristic, complemented
156#16839903C2211yescharacteristic, complemented
157#16839900C2211yescharacteristic, complemented
158#16839897C2211yescharacteristic
159#16839897C2211yescharacteristic
160#16839890C2211yescharacteristic, complemented
161#16839889C2211yescharacteristic, complemented
162#16839871C2211yescharacteristic
163#16839871C2211yescharacteristic, complemented
164#16839870C2211yescharacteristic, complemented
165#16839868C2211yescharacteristic, complemented
166#16839861C2211yescharacteristic
167#16839861C2211yescharacteristic, complemented
168#16839859C2211yescharacteristic
169C4×#11758202C2211yescharacteristic, complemented
170#16839853C2211yescharacteristic, complemented
171C4×#11758200C2211yescharacteristic, complemented
172#16839844C2211yescharacteristic
173#16839833C2211yescharacteristic
174#16839831C2211yescharacteristic
175#16839830C2211yescharacteristic
176D4×#92418C2211yescharacteristic, complemented
177#16839825C2211yescharacteristic
178#16839824C2211yescharacteristic
179#16839820C2211yescharacteristic, complemented
180#16839816C2211yescharacteristic, complemented
181#16839790C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic
183C2×#14519706C2211yescharacteristic, complemented
184#16839760C2211yescharacteristic
185#16839756C2211yescharacteristic
186C2×#14519700C2211yescharacteristic, complemented
187#102×D61C2211yescharacteristic
188C61×#553C2211yescharacteristic, complemented
189C61×#550C2211yescharacteristic
190C61×#490C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#480C2211yescharacteristic, complemented
193C61×#479C2211yescharacteristic, complemented
194C61×#469C2211yescharacteristic, complemented
195C61×#466C2211yescharacteristic
196C61×#459C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#449C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic
202C61×#416C2211yescharacteristic, complemented
203C2×#11758222—21no—
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209C2×#11758224C2311yescharacteristic
210C2×#11758224C2311yescharacteristic
211C22×Dic122C2311yescharacteristic
212C2×D4×D61C2311yescharacteristic
213#14519810—42no—
214#14519801—42no—
215#14519799—42no—
216#14519797—42no—
217#14519797—42no—
218#14519796—42no—
219C2×Dic244C2311yescharacteristic
220C2×Dic244C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758190C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×D488C2311yescharacteristic
234C2×D488C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238C2×#11758199C2311yescharacteristic
239C2×#11758199C2311yescharacteristic
240C2×#11758189C2311yescharacteristic
241C22×#92418C2311yescharacteristic
242C22×#92418C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244#14519776—21no—
245#14519776C2311yescharacteristic
246#14519775C2311yescharacteristic
247#14519775C2311yescharacteristic
248#14519774C2311yescharacteristic
249#14519773—21no—
250#14519773—21no—
251#14519773—21no—
252#14519773C2311yescharacteristic
253#14519773C2311yescharacteristic
254#14519773C2311yescharacteristic
255#14519772—21no—
256#14519772—21no—
257#14519772D411yescharacteristic
258#14519771—21no—
259#14519771—21no—
260#14519771—21no—
261#14519770—21no—
262#14519770D411yescharacteristic
263#14519769—21no—
264#14519768C2311yescharacteristic
265#14519768C2311yescharacteristic
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519767D411yescharacteristic
270#14519766C2311yescharacteristic
271#14519765C2311yescharacteristic
272#14519764—21no—
273#14519764C2311yescharacteristic
274#14519764C2311yescharacteristic
275#14519764C2311yescharacteristic
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763D411yescharacteristic
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519761—21no—
284#14519761—21no—
285#14519761D411yescharacteristic
286#14519760—21no—
287#14519760—21no—
288#14519760—21no—
289#14519759—21no—
290#14519759—21no—
291#14519759—21no—
292#14519759—21no—
293#14519758—21no—
294#14519758—21no—
295#14519758—21no—
296#14519758—21no—
297#14519758—21no—
298#14519758—21no—
299#14519758D411yescharacteristic
300#14519757C2311yescharacteristic
301#14519756—21no—
302#14519756—21no—
303#14519756C2311yescharacteristic
304#14519755—21no—
305#14519755—21no—
306#14519755—21no—
307#14519754—21no—
308#14519754D411yescharacteristic
309#14519753C2311yescharacteristic
310#14519752—21no—
311#14519752—21no—
312#14519752C2311yescharacteristic
313#14519752C2311yescharacteristic
314#14519751—21no—
315#14519751C2311yescharacteristic
316#14519751C2311yescharacteristic
317#14519751C2311yescharacteristic
318#14519750—21no—
319#14519750—21no—
320#14519750—21no—
321#14519750—21no—
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749—21no—
328#14519749—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749—21no—
333#14519749—21no—
334#14519749—21no—
335#14519749—21no—
336#14519749—21no—
337#14519749—21no—
338#14519749D411yescharacteristic
339#14519748—21no—
340#14519748—21no—
341#14519748—21no—
342#14519745—21no—
343#14519745—21no—
344#14519745—21no—
345#14519745—21no—
346C4×Dic122C2311yescharacteristic
347C4×Dic122C2311yescharacteristic
348C4×Dic122C2311yescharacteristic
349#14519742—21no—
350#14519742C2311yescharacteristic
351#14519742C2311yescharacteristic
352#14519742C2311yescharacteristic
353#14519742C2311yescharacteristic
354C4×D244—21no—
355D4×Dic61—21no—
356D4×Dic61—21no—
357D4×Dic61—21no—
358D4×Dic61C2311yescharacteristic
359D4×Dic61C2311yescharacteristic
360D4×Dic61C2311yescharacteristic
361#14519739—21no—
362#14519739C2311yescharacteristic
363#14519739C2311yescharacteristic
364#14519739C2311yescharacteristic
365#14519739C2311yescharacteristic
366#14519739C2311yescharacteristic
367C4×C22⋊D61—21no—
368C4×C22⋊D61—21no—
369C4×C22⋊D61—21no—
370C4×C22⋊D61—21no—
371C4×C22⋊D61—21no—
372C4×C22⋊D61C2311yescharacteristic
373C4×C22⋊D61C2311yescharacteristic
374#14519737—21no—
375#14519737—21no—
376#14519737—21no—
377#14519737—21no—
378#14519737—21no—
379#14519737—21no—
380#14519737—21no—
381#14519736C2311yescharacteristic
382#14519735—21no—
383#14519734—21no—
384#14519734—21no—
385#14519734C2311yescharacteristic
386#14519733—21no—
387#14519733—21no—
388C2×#11758196—21no—
389C2×#11758196—21no—
390C4⋊C4×D61—21no—
391C4⋊C4×D61C2311yescharacteristic
392C2×#11758198—21no—
393C22⋊C4×D61—21no—
394C2×C4×Dic61C2311yescharacteristic
395C42×D61—21no—
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519709C2311yescharacteristic
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#14519702C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C4×#92418C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C2×#41×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446C2×M16×C61C2311yescharacteristic
447C22×C8×C61C2311yescharacteristic
448#127×C61—21no—
449#127×C61C2311yescharacteristic
450#126×C61—21no—
451#125×C61C2311yescharacteristic
452#123×C61—21no—
453#121×C61—21no—
454#121×C61—21no—
455#121×C61—21no—
456#121×C61C2311yescharacteristic
457#121×C61C2311yescharacteristic
458#121×C61C2311yescharacteristic
459#121×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×D4×C61—21no—
462C4×D4×C61—21no—
463C4×D4×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466C2×C4⋊C4×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#107×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#102×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
483#97×C61C2311yescharacteristic
484C23×D61—21no—
485#41×C61—41no—
486#41×C61—41no—
487#41×C61—41no—
488#41×C61—41no—
489C2×Q8×C61C2411yescharacteristic
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61C2×D411yescharacteristic
499C2×D4×C61C2411yescharacteristic
500C2×D4×C61C2411yescharacteristic
501C2×D4×C61C2411yescharacteristic
502C22×C4×C61—21no—
503C22×C4×C61—21no—
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61C2411yescharacteristic
507C22×C4×C61C2411yescharacteristic
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—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61C2×D411yescharacteristic
524C2×C22⋊D61C2×D411yescharacteristic
525C22×Dic61—21no—
526C22×Dic61—21no—
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61—21no—
530C22×Dic61—21no—
531C22×Dic61C2×D411yescharacteristic
532C22×Dic61C2×D411yescharacteristic
533#11758224—22no—
534#11758224—41no—
535#11758224—41no—
536#11758224—41no—
537#11758224—82no—
538D4×D61—41no—
539D4×D61—41no—
540#11758222—22no—
541#11758222—22no—
542#11758222—41no—
543#11758222—41no—
544#11758222—41no—
545#11758222—41no—
546#11758222—82no—
547#11758222—82no—
548C2×D244—21no—
549C2×D244—21no—
550C2×D244—21no—
551C2×D244—21no—
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×D61C2411yescharacteristic
565C2×Dic122—21no—
566C2×Dic122—21no—
567C2×Dic122—41no—
568C2×Dic122—41no—
569C2×Dic122C2×D411yescharacteristic
570C2×Dic122C2411yescharacteristic
571C2×Dic122C2411yescharacteristic
572C2×Dic122C2411yescharacteristic
573SD16×C61—41no—
574D8×C61—41no—
575D8×C61—41no—
576M16×C61—41no—
577C2×C8×C61—41no—
578C2×C8×C61C2411yescharacteristic
579C2×C8×C61C2411yescharacteristic
580C2×C8×C61C2411yescharacteristic
581C2×C8×C61C2411yescharacteristic
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61—21no—
586C4⋊C4×C61C2×D411yescharacteristic
587C4⋊C4×C61C2411yescharacteristic
588C4⋊C4×C61C2411yescharacteristic
589C4⋊C4×C61C2411yescharacteristic
590C4⋊C4×C61C2411yescharacteristic
591C22⋊C4×C61—21no—
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61—21no—
596C22⋊C4×C61—21no—
597C22⋊C4×C61C2×D411yescharacteristic
598C22⋊C4×C61C2×D411yescharacteristic
599C42×C61—21no—
600C42×C61—21no—
601C42×C61C2411yescharacteristic
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61C2×D411yescharacteristic
613C22⋊Dic61C2×D411yescharacteristic
614C22⋊Dic61C2×D411yescharacteristic
615C22⋊Dic61C2×D411yescharacteristic
616#11758202—22no—
617#11758201—41no—
618#11758201—41no—
619#11758200—22no—
620#11758200—22no—
621#11758200—41no—
622#11758200—41no—
623#11758199—41no—
624#11758199—41no—
625#11758199—41no—
626#11758199—41no—
627#11758199—41no—
628#11758198—21no—
629#11758198—21no—
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#11758198C2×D411yescharacteristic
645#11758198C2×D411yescharacteristic
646#11758198C2×D411yescharacteristic
647#11758198C2×D411yescharacteristic
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61C2×D411yescharacteristic
652C4⋊Dic61C2×D411yescharacteristic
653C4⋊Dic61C2×D411yescharacteristic
654C4⋊Dic61C2411yescharacteristic
655C4⋊Dic61C2411yescharacteristic
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
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#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C4×Dic61C2411yescharacteristic
688C4×Dic61C2411yescharacteristic
689C2×#92418—41no—
690C2×#92418—41no—
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695Dic244—22no—
696Dic244—22no—
697D488—41no—
698D488—41no—
699#11758190—22no—
700#11758190—41no—
701#11758190—41no—
702#11758190—41no—
703#11758190—41no—
704#11758189—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61C22×D411yescharacteristic
710C23×C61C22×D411yescharacteristic
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—81no—
715C22×D61—81no—
716C22×D61—81no—
717C22×D61C22×D411yescharacteristic
718Q8×C61—21no—
719Q8×C61—21no—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—21no—
723D4×C61—21no—
724D4×C61—21no—
725D4×C61—21no—
726D4×C61—41no—
727D4×C61—81no—
728D4×C61—81no—
729D4×C61—81no—
730D4×C61—81no—
731D4×C61—81no—
732D4×C61—81no—
733D4×C61—81no—
734D4×C61—81no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—81no—
745C2×C4×C61—81no—
746C2×C4×C61—81no—
747C2×C4×C61—81no—
748C2×C4×C61C22×D411yescharacteristic
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C22×D411yescharacteristic
751C2×C4×C61C22×D411yescharacteristic
752C2×C4×C61C2511yescharacteristic
753C22⋊D61—41no—
754C22⋊D61—41no—
755C22⋊D61—42no—
756C22⋊D61—42no—
757C22⋊D61—42no—
758C22⋊D61—42no—
759C22⋊D61—81no—
760C22⋊D61—81no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C22⋊D61—81no—
765C22⋊D61—81no—
766C22⋊D61—81no—
767C22⋊D61—81no—
768C22⋊D61—81no—
769C22⋊D61—81no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—41no—
776C2×Dic61—41no—
777C2×Dic61—42no—
778C2×Dic61—81no—
779C2×Dic61—81no—
780C2×Dic61—81no—
781C2×Dic61—81no—
782C2×Dic61—81no—
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—81no—
797D244—81no—
798D244—81no—
799D244—81no—
800C4×D61—21no—
801C4×D61—21no—
802C4×D61—42no—
803C4×D61—42no—
804C4×D61—42no—
805C4×D61—81no—
806C4×D61—81no—
807C4×D61—81no—
808C4×D61—81no—
809C4×D61—81no—
810C4×D61—81no—
811Dic122—21no—
812Dic122—21no—
813Dic122—21no—
814Dic122—21no—
815Dic122—21no—
816Dic122—41no—
817Dic122—42no—
818Dic122—81no—
819Dic122H(5,𝔽2)12yes—
820C8×C61—21no—
821C8×C61—21no—
822C8×C61—21no—
823C8×C61—21no—
824#92418—21no—
825#92418—21no—
826#92418—21no—
827#92418—21no—
828#62014—611nomaximal, Sylow
829C22×C61—21no—
830C22×C61—21no—
831C22×C61—21no—
832C22×C61—21no—
833C22×C61—21no—
834C22×C61—21no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61C23×D411yescharacteristic
845C2×D61—21no—
846C2×D61—21no—
847C2×D61—21no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—162no—
858C4×C61—21no—
859C4×C61—21no—
860C4×C61—21no—
861C4×C61—21no—
862C4×C61—41no—
863C4×C61—41no—
864C4×C61—41no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61C2×H(5,𝔽2)11yescharacteristic
868C4×C61#58511yescharacteristic
869Dic61—21no—
870Dic61—21no—
871Dic61—21no—
872Dic61—21no—
873Dic61—21no—
874Dic61—21no—
875Dic61—22no—
876Dic61—21no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881#3562—611no—
882#3517—611no—
883#3399—611no—
884#3397—611no—
885#3377—611no—
886#3371—611no—
887#3309D6111yescharacteristic, complemented
888#3308—611no—
889#3307—611no—
890#3306—611no—
891#3301—611no—
892#3297—611no—
893#3287—611no—
894#3284—611no—
895#3271—611no—
896#3271—611no—
897#3268—611no—
898#3268—611no—
899#3260—611no—
900#3259—611no—
901#3247—611no—
902#3221—611no—
903#3220—611no—
904#3214—611no—
905#3120—611no—
906#3119—611no—
907#3111—611no—
908#3046—611no—
909#3045—611no—
910#3035—611no—
911#2992—611no—
912C2×C61—41no—
913C2×C61—41no—
914C2×C61—81no—
915C2×C61—81no—
916C2×C61—81no—
917C2×C61#348811yescharacteristic
918C2×C61#358411yescharacteristic
919C2×C61#358511yescharacteristic
920D61—41no—
921D61—81no—
922D61—81no—
923D61—81no—
924C2×#137—611no—
925C2×AGL(1,ℤ/8)—611no—
926C2×#135—611no—
927C2×#135—611no—
928C2×#135—611no—
929C2×#135—611no—
930#562—1221no—
931#560—1221no—
932#559—611no—
933#557—611no—
934#556—611no—
935#553—611no—
936#553—1221no—
937#553—1221no—
938#553—1221no—
939#553C2×D6111yescharacteristic, complemented
940#551—1221no—
941#550—611no—
942#550—611no—
943#550—611no—
944#550—611no—
945#550—1221no—
946#550C2×D6111yescharacteristic
947#548—611no—
948#548—611no—
949#547—611no—
950#547—611no—
951#547—1221no—
952#546—611no—
953#546—611no—
954#541—611no—
955#540—611no—
956#540—611no—
957#540—611no—
958#540—1221no—
959#540—1221no—
960#540—1221no—
961#539—1221no—
962#538—1221no—
963#538—1221no—
964#536—611no—
965#535—611no—
966#532—611no—
967#532—611no—
968#532—1221no—
969#529—611no—
970#529—611no—
971#529—1221no—
972#520—611no—
973#520—611no—
974C4×#41—611no—
975#496—611no—
976#496—611no—
977#496—611no—
978#496—611no—
979#493—611no—
980#492—611no—
981#491—611no—
982#490C2×D6111yescharacteristic
983#489—611no—
984#489—611no—
985#488—611no—
986#488—611no—
987#485—611no—
988#484—611no—
989#483—611no—
990#482C2×D6111yescharacteristic
991#481—611no—
992#480C2×D6111yescharacteristic, complemented
993#479—611no—
994#479—611no—
995#479C2×D6111yescharacteristic, complemented
996#478—611no—
997#478—611no—
998#478—611no—
999#478—611no—
1000#478—611no—
1001#477—611no—
1002#476—611no—
1003#469—611no—
1004#469C2×D6111yescharacteristic, complemented
1005#468—611no—
1006#468—611no—
1007#466—611no—
1008#466—611no—
1009#466—611no—
1010#466C2×D6111yescharacteristic
1011#465—611no—
1012#465—611no—
1013#465—611no—
1014#465—611no—
1015#464—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#463—611no—
1021#463—611no—
1022#463—611no—
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#462—611no—
1028#462—611no—
1029#461—611no—
1030#461—611no—
1031#461—611no—
1032#461—611no—
1033#460—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460—611no—
1038#459—611no—
1039#459—611no—
1040#459—611no—
1041#459—611no—
1042#459—611no—
1043#459—611no—
1044#459C2×D6111yescharacteristic
1045#452—611no—
1046#452—611no—
1047#452—611no—
1048#449—611no—
1049#449—611no—
1050#449—611no—
1051#449—611no—
1052#449—611no—
1053#449—611no—
1054#449—611no—
1055#449—611no—
1056#449—611no—
1057#449C2×D6111yescharacteristic
1058#449C2×D6111yescharacteristic, complemented
1059#448—611no—
1060#448—611no—
1061#447—611no—
1062#447—611no—
1063#446—611no—
1064#446—611no—
1065#442—611no—
1066#442—611no—
1067#441—611no—
1068#441—611no—
1069#440—611no—
1070#440—611no—
1071#440—611no—
1072#440C2×D6111yescharacteristic, complemented
1073C4×Q16—611no—
1074C4×SD16—611no—
1075C4×SD16—611no—
1076C4×D8—611no—
1077#435—611no—
1078#435—611no—
1079#435—611no—
1080#435C2×D6111yescharacteristic, complemented
1081C8×D4—611no—
1082C8×D4—611no—
1083#433—611no—
1084#433—611no—
1085#432—611no—
1086#424—611no—
1087#424—611no—
1088C2×C4⋊C8—611no—
1089#417—611no—
1090#417C2×D6111yescharacteristic
1091#416—611no—
1092#416C2×D6111yescharacteristic, complemented
1093C2×#103—611no—
1094C2×#102—611no—
1095C61#6201411yescharacteristic, complemented, Sylow
1096C2×#41—611no—
1097C2×#41—611no—
1098C2×#41—611no—
1099C2×#41—611no—
1100C2×#41—611no—
1101C2×#41—1221no—
1102C2×#41—1221no—
1103C2×#41—1221no—
1104C2×#41C22×D6111yescharacteristic
1105C2×#41C22×D6111yescharacteristic
1106C22×Q8—611no—
1107C22×D4—611no—
1108#137—2442no—
1109AGL(1,ℤ/8)—2442no—
1110#135—2442no—
1111#135—2442no—
1112#135—2442no—
1113#135—2442no—
1114C2×Q16—611no—
1115C2×Q16—611no—
1116C2×Q16—611no—
1117C2×SD16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—611no—
1122C2×SD16—611no—
1123C2×SD16—611no—
1124C2×SD16—611no—
1125C2×SD16—611no—
1126C2×SD16—611no—
1127C2×SD16—611no—
1128C2×SD16C22×D6111yescharacteristic
1129C2×D8—611no—
1130C2×D8—611no—
1131C2×D8—611no—
1132C2×D8—611no—
1133C2×D8—611no—
1134C2×D8—611no—
1135C2×D8—611no—
1136C2×D8C22×D6111yescharacteristic
1137C2×D8C22×D6111yescharacteristic
1138C2×M16—611no—
1139C2×M16C22×D6111yescharacteristic
1140C22×C8—611no—
1141C22×C8—611no—
1142C22×C8—611no—
1143C22×C8C22×D6111yescharacteristic
1144C4⋊Q8—611no—
1145C4⋊Q8—611no—
1146C4⋊Q8—611no—
1147C4⋊Q8—1221no—
1148#127—21no—
1149#127—611no—
1150#127—611no—
1151#127—611no—
1152#127—611no—
1153#127—1221no—
1154#127—1221no—
1155#127—1221no—
1156#127C22×D6111yescharacteristic
1157#126—21no—
1158#126—611no—
1159#126—611no—
1160#126—1221no—
1161#126—1221no—
1162#126—1221no—
1163#126—1221no—
1164#126—1221no—
1165#126—1221no—
1166#125—611no—
1167#125—611no—
1168#125—611no—
1169#125—1221no—
1170#125—1221no—
1171#125—1221no—
1172#125—1221no—
1173#125C22×D6111yescharacteristic
1174#124—611no—
1175#124—611no—
1176#124—611no—
1177#124—611no—
1178#124—611no—
1179#124—611no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#123—21no—
1185#123—611no—
1186#123—611no—
1187#123—1221no—
1188#123—1221no—
1189#123—1221no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193#123—1221no—
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—
1205C22⋊Q8—611no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—611no—
1219#121—611no—
1220#121—611no—
1221#121—611no—
1222#121—611no—
1223#121—611no—
1224#121—1221no—
1225#121—1221no—
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#121—1221no—
1244#121—1221no—
1245#121—1221no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121C22×D6111yescharacteristic
1251#121C22×D6111yescharacteristic
1252#121C22×D6111yescharacteristic
1253#121C22×D6111yescharacteristic
1254#120—1221no—
1255#120—1221no—
1256#120—1221no—
1257#120—1221no—
1258C4×Q8—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—611no—
1263C4×Q8—611no—
1264C4×Q8—611no—
1265C4×Q8—1221no—
1266C4×Q8C22×D6111yescharacteristic
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—611no—
1270C4×D4—611no—
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
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×D4—1221no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4C22×D6111yescharacteristic
1297C4×D4C22×D6111yescharacteristic
1298#117—611no—
1299#117—611no—
1300#117—1221no—
1301#117—1221no—
1302#117—1221no—
1303#117—1221no—
1304#117—1221no—
1305#117C22×D6111yescharacteristic
1306C2×C4⋊C4—611no—
1307C2×C4⋊C4—1221no—
1308C2×C4⋊C4—1221no—
1309C2×C4⋊C4—1221no—
1310C2×C4⋊C4C22×D6111yescharacteristic
1311C2×C22⋊C4—1221no—
1312C2×C22⋊C4—1221no—
1313C2×C42—611no—
1314C2×C42—1221no—
1315#107—611no—
1316#107—611no—
1317#107C22×D6111yescharacteristic
1318#107C22×D6111yescharacteristic
1319#106—611no—
1320#106—611no—
1321#106—611no—
1322#106C22×D6111yescharacteristic
1323C4⋊C8—611no—
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8—611no—
1327C4⋊C8—611no—
1328C4⋊C8—611no—
1329C4⋊C8—611no—
1330C4⋊C8—611no—
1331C4⋊C8—611no—
1332C4⋊C8C22×D6111yescharacteristic
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103—611no—
1340#103—611no—
1341#103—611no—
1342#103—611no—
1343#103—611no—
1344#103C22×D6111yescharacteristic
1345#103C22×D6111yescharacteristic
1346#103C22×D6111yescharacteristic
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102C22×D6111yescharacteristic
1359#102C22×D6111yescharacteristic
1360#102C22×D6111yescharacteristic
1361#102C22×D6111yescharacteristic
1362#102C22×D6111yescharacteristic
1363#102C22×D6111yescharacteristic
1364#102C22×D6111yescharacteristic
1365C22⋊C8—611no—
1366C22⋊C8—611no—
1367C22⋊C8—611no—
1368C22⋊C8—611no—
1369C22⋊C8C22×D6111yescharacteristic
1370C22⋊C8C22×D6111yescharacteristic
1371#97—611no—
1372#97—611no—
1373#97—611no—
1374#97C22×D6111yescharacteristic
1375C4×C8—611no—
1376C4×C8—611no—
1377C24—1221no—
1378#41—41no—
1379#41—41no—
1380#41—41no—
1381#41—41no—
1382#41—1222no—
1383#41—1222no—
1384#41—1222no—
1385#41—4882no—
1386#41—4882no—
1387#41—4882no—
1388#41—2441no—
1389#41—2441no—
1390#41—2441no—
1391#41—2441no—
1392#41—2441no—
1393#41—2441no—
1394#41—2441no—
1395C2×Q8—611no—
1396C2×Q8—611no—
1397C2×Q8—611no—
1398C2×Q8—611no—
1399C2×Q8—1221no—
1400C2×Q8—1221no—
1401C2×Q8—2441no—
1402C2×Q8—2441no—
1403C2×Q8C23×D6111yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—611no—
1413C2×D4—611no—
1414C2×D4—611no—
1415C2×D4—611no—
1416C2×D4—611no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
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—2441no—
1437C2×D4—2441no—
1438C2×D4D4×D6111yescharacteristic
1439C2×D4C23×D6111yescharacteristic
1440C2×D4C23×D6111yescharacteristic
1441C2×D4C23×D6111yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—611no—
1447C22×C4—611no—
1448C22×C4—611no—
1449C22×C4—1221no—
1450C22×C4—1221no—
1451C22×C4—1221no—
1452C22×C4—1221no—
1453C22×C4—1221no—
1454C22×C4—1221no—
1455C22×C4—1221no—
1456C22×C4—1221no—
1457C22×C4—1221no—
1458C22×C4—1221no—
1459C22×C4—1221no—
1460C22×C4—1221no—
1461C22×C4—1221no—
1462C22×C4—1221no—
1463C22×C4—1221no—
1464C22×C4C23×D6111yescharacteristic
1465C22×C4C23×D6111yescharacteristic
1466Q16—1222no—
1467Q16—1222no—
1468Q16—1222no—
1469SD16—41no—
1470SD16—1222no—
1471SD16—1222no—
1472SD16—1222no—
1473SD16—2441no—
1474SD16—2441no—
1475SD16—2441no—
1476SD16—2441no—
1477SD16—2441no—
1478SD16—2441no—
1479SD16—2441no—
1480SD16—2441no—
1481D8—41no—
1482D8—41no—
1483D8—2441no—
1484D8—2441no—
1485D8—2441no—
1486D8—2441no—
1487D8—2441no—
1488D8—2441no—
1489D8—2441no—
1490M16—41no—
1491M16—2441no—
1492C2×C8—41no—
1493C2×C8—611no—
1494C2×C8—611no—
1495C2×C8—611no—
1496C2×C8—611no—
1497C2×C8—2441no—
1498C2×C8—2441no—
1499C2×C8—2441no—
1500C2×C8C23×D6111yescharacteristic
1501C2×C8C23×D6111yescharacteristic
1502C2×C8C23×D6111yescharacteristic
1503C2×C8C23×D6111yescharacteristic
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—611no—
1509C4⋊C4—611no—
1510C4⋊C4—611no—
1511C4⋊C4—611no—
1512C4⋊C4—611no—
1513C4⋊C4—611no—
1514C4⋊C4—611no—
1515C4⋊C4—611no—
1516C4⋊C4—611no—
1517C4⋊C4—611no—
1518C4⋊C4—611no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4—1221no—
1525C4⋊C4—1221no—
1526C4⋊C4—1221no—
1527C4⋊C4—1221no—
1528C4⋊C4—1221no—
1529C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1539C4⋊C4C23×D6111yescharacteristic
1540C4⋊C4C23×D6111yescharacteristic
1541C4⋊C4C23×D6111yescharacteristic
1542C4⋊C4C23×D6111yescharacteristic
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—611no—
1550C22⋊C4—611no—
1551C22⋊C4—611no—
1552C22⋊C4—611no—
1553C22⋊C4—611no—
1554C22⋊C4—611no—
1555C22⋊C4—611no—
1556C22⋊C4—611no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1584C22⋊C4D4×D6111yescharacteristic
1585C42—21no—
1586C42—21no—
1587C42—611no—
1588C42—611no—
1589C42—611no—
1590C42—611no—
1591C42—611no—
1592C42—1221no—
1593C42—1221no—
1594C42—1221no—
1595C42—1221no—
1596C42—1221no—
1597C42—1221no—
1598C42C23×D6111yescharacteristic
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—611no—
1603C23—1221no—
1604C23—1221no—
1605C23—1221no—
1606C23—4881no—
1607C23—4881no—
1608C23—4881no—
1609C23C2×D4×D6111yescharacteristic
1610C23C2×D4×D6111yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—612no—
1614Q8—1221no—
1615Q8—1221no—
1616Q8—1221no—
1617Q8—1221no—
1618Q8—1221no—
1619Q8—4881no—
1620Q8—2441no—
1621Q8—2442no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—41no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—1221no—
1638D4—1221no—
1639D4—1221no—
1640D4—1221no—
1641D4—1221no—
1642D4—1221no—
1643D4—4881no—
1644D4—4881no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—4881no—
1654D4—4881no—
1655D4—4881no—
1656D4—4881no—
1657D4—4881no—
1658D4—2441no—
1659D4—2441no—
1660D4—2442no—
1661D4—2442no—
1662D4—2442no—
1663D4—2442no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—611no—
1678C2×C4—611no—
1679C2×C4—611no—
1680C2×C4—611no—
1681C2×C4—611no—
1682C2×C4—611no—
1683C2×C4—611no—
1684C2×C4—1221no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—4881no—
1692C2×C4—4881no—
1693C2×C4—4881no—
1694C2×C4—4881no—
1695C2×C4—4881no—
1696C2×C4—4881no—
1697C2×C4—4881no—
1698C2×C4—4881no—
1699C2×C4—4881no—
1700C2×C4—4881no—
1701C2×C4—4881no—
1702C2×C4—2442no—
1703C2×C4—2442no—
1704C2×C4—2442no—
1705C2×C4—2441no—
1706C2×C4—2441no—
1707C2×C4—2442no—
1708C2×C4C2×D4×D6111yescharacteristic
1709C2×C4C2×D4×D6111yescharacteristic
1710C2×C4C2×D4×D6111yescharacteristic
1711C2×C4C2×D4×D6111yescharacteristic
1712C2×C4C24×D6111yescharacteristic
1713C8—21no—
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—1221no—
1718C8—1221no—
1719C8—1221no—
1720C8—1221no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—1221no—
1737C22—1221no—
1738C22—1221no—
1739C22—9762no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22C22×D4×D6111yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—1221no—
1760C4—1222no—
1761C4—1221no—
1762C4—1221no—
1763C4—1221no—
1764C4—1221no—
1765C4—1221no—
1766C4—1221no—
1767C4—2441no—
1768C4—2441no—
1769C4—2441no—
1770C4—2441no—
1771C4H(5,𝔽2)×D6111yescharacteristic
1772C4#1684059811yescharacteristic
1773C2—41no—
1774C2—41no—
1775C2—81no—
1776C2—81no—
1777C2—81no—
1778C2—4881no—
1779C2—4881no—
1780C2—4881no—
1781C2—2441no—
1782C2#2145948211yescharacteristic
1783C2#2146059211yescharacteristic
1784C2#2146059411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3309C2
socleC22×C61C23×D4
hypercenter#3309D61
hypocenterC61#62014
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3309

Complements

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

NH ≅ G/Ntype
1. #21460393C2semidirect
2. #21459818C2semidirect
3. #21458865C2semidirect
4. #21458840C2semidirect
5. #21458659C2semidirect
6. #21458582C2semidirect
7. #21457808C2semidirect
8. #21457791C2semidirect
9. #21457781C2semidirect
10. #21457715C2semidirect
11. #21457672C2semidirect
12. #21457575C2semidirect
13. #21457547C2semidirect
14. #21457411C2semidirect
15. #21457409C2semidirect
16. #21457363C2semidirect
17. #21457356C2semidirect
18. #21457264C2semidirect
19. #21457255C2semidirect
20. #21457138C2semidirect
21. #21456878C2semidirect
22. #21456870C2semidirect
23. #21456811C2semidirect
24. #21456037C2semidirect
25. #21456021C2semidirect
26. #21455923C2semidirect
27. #21455368C2semidirect
28. #21455353C2semidirect
29. #21455272C2semidirect
30. #21454959C2semidirect
31. C61×#3309C2semidirect
32. C2×#14519810C22semidirect
36. C2×#14519797C22semidirect
41. #16840489C22semidirect
48. #16840433C22semidirect
49. #16840433C22semidirect
64. #16840365C22semidirect
74. #16840307C22semidirect
78. #16840243C22semidirect
80. #16840230C22semidirect
83. #16840150C22semidirect
86. #16840133C22semidirect
87. #16840129C22semidirect
89. #16840120C22semidirect
92. #16840103C22semidirect
96. #16840068C22semidirect
97. #16840066C22semidirect
98. #16840065C22semidirect
99. #16840064C22semidirect
100. #16840064C22semidirect
102. #16840061C22semidirect
103. #16840056C22semidirect
110. #16839996C22semidirect
113. #16839991C22semidirect
114. #16839989C22semidirect
119. #16839983C22semidirect
125. #16839976C22semidirect
127. #16839971C22semidirect
128. #16839971C22semidirect
129. #16839966C22semidirect
130. #16839966C22semidirect
131. #16839966C22semidirect
132. #16839965C22semidirect
133. #16839963C22semidirect
134. #16839962C22semidirect
136. #16839961C22semidirect
143. #16839955C22semidirect
144. #16839926C22semidirect
152. #16839907C22semidirect
155. #16839905C22semidirect
156. #16839903C22semidirect
157. #16839900C22semidirect
160. #16839890C22semidirect
161. #16839889C22semidirect
163. #16839871C22semidirect
164. #16839870C22semidirect
165. #16839868C22semidirect
167. #16839861C22semidirect
169. C4×#11758202C22semidirect
170. #16839853C22semidirect
171. C4×#11758200C22semidirect
176. D4×#92418C22semidirect
179. #16839820C22semidirect
180. #16839816C22semidirect
181. #16839790C22semidirect
183. C2×#14519706C22semidirect
186. C2×#14519700C22semidirect
188. C61×#553C22semidirect
192. C61×#480C22semidirect
193. C61×#479C22semidirect
194. C61×#469C22semidirect
198. C61×#449C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
202. C61×#416C22semidirect
887. #3309D61semidirect
939. #553C2×D61semidirect
992. #480C2×D61semidirect
995. #479C2×D61semidirect
1004. #469C2×D61semidirect
1058. #449C2×D61semidirect
1072. #440C2×D61semidirect
1080. #435C2×D61semidirect
1092. #416C2×D61semidirect
1095. C61#62014semidirect

Maximal subgroups

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

subgroupindex
#214603932
#214598182
#214588652
#214588402
#214586592
#214585822
#214578082
#214577912
#214577812
#214577152
#214576722
#214575752
#214575472
#214574112
#214574092
#214573632
#214573562
#214572642
#214572552
#214571382
#214568782
#214568702
#214568112
#214560372
#214560212
#214559232
#214553682
#214553532
#214552722
#214549592
C61×#33092
#6201461