Finite Group Databasebeta

← #30573475

Subgroups — #30573475

Order 15616.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460393C211yesmaximal, characteristic, complemented
2#21459829C211yesmaximal, characteristic, complemented
3#21458896C211yesmaximal, characteristic, complemented
4#21458878C211yesmaximal, characteristic, complemented
5#21458638C211yesmaximal, characteristic, complemented
6#21458562C211yesmaximal, characteristic, complemented
7#21458008C211yesmaximal, characteristic, complemented
8#21457971C211yesmaximal, characteristic, complemented
9#21457879C211yesmaximal, characteristic, complemented
10#21457853C211yesmaximal, characteristic, complemented
11#21457732C211yesmaximal, characteristic, complemented
12#21457562C211yesmaximal, characteristic, complemented
13#21457533C211yesmaximal, characteristic, complemented
14#21457400C211yesmaximal, characteristic, complemented
15#21457386C211yesmaximal, characteristic, complemented
16#21457378C211yesmaximal, characteristic, complemented
17#21457327C211yesmaximal, characteristic, complemented
18#21457252C211yesmaximal, characteristic, complemented
19#21457233C211yesmaximal, characteristic, complemented
20#21457149C211yesmaximal, characteristic, complemented
21#21456932C211yesmaximal, characteristic, complemented
22#21456916C211yesmaximal, characteristic, complemented
23#21456827C211yesmaximal, characteristic, complemented
24#21456116C211yesmaximal, characteristic, complemented
25#21456106C211yesmaximal, characteristic, complemented
26#21455923C211yesmaximal, characteristic, complemented
27#21455352C211yesmaximal, characteristic, complemented
28#21455335C211yesmaximal, characteristic, complemented
29#21455272C211yesmaximal, characteristic, complemented
30#21454952C211yesmaximal, characteristic, complemented
31C61×#3304C211yesmaximal, characteristic, complemented
32C2×#14519807C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C2×#14519799C2211yescharacteristic
35C2×#14519797C2211yescharacteristic, complemented
36C22×Dic244C2211yescharacteristic, complemented
37C2×SD16×D61C2211yescharacteristic
38#16840507—21no—
39#16840499—21no—
40#16840498C2211yescharacteristic
41#16840492C2211yescharacteristic, complemented
42#16840484—21no—
43#16840484C2211yescharacteristic
44#16840484C2211yescharacteristic, complemented
45#16840480C2211yescharacteristic
46#16840479—21no—
47#16840479—21no—
48#16840475C2211yescharacteristic
49#16840474—21no—
50#16840455—21no—
51#16840441—21no—
52#16840425C2211yescharacteristic
53#16840422C2211yescharacteristic
54#16840421C2211yescharacteristic
55#16840421C2211yescharacteristic, complemented
56#16840418C2211yescharacteristic
57#16840411C2211yescharacteristic
58#16840409C2211yescharacteristic
59#16840400C2211yescharacteristic
60#16840386C2211yescharacteristic
61#16840385C2211yescharacteristic, complemented
62#16840378—21no—
63#16840376—21no—
64#16840370C2211yescharacteristic
65#16840366—21no—
66#16840365C2211yescharacteristic
67#16840354—21no—
68#16840349—21no—
69#16840344—21no—
70#16840333C2211yescharacteristic
71#16840325C2211yescharacteristic
72#16840316—21no—
73#16840314C2211yescharacteristic, complemented
74#16840308C2211yescharacteristic
75#16840295—21no—
76#16840293C2211yescharacteristic
77#16840292C2211yescharacteristic
78#16840239C2211yescharacteristic, complemented
79#16840238C2211yescharacteristic
80#16840230C2211yescharacteristic, complemented
81#16840155C2211yescharacteristic
82#16840155C2211yescharacteristic, complemented
83#16840153C2211yescharacteristic, complemented
84#16840149C2211yescharacteristic
85#16840146C2211yescharacteristic
86#16840143C2211yescharacteristic
87#16840124C2211yescharacteristic
88#16840123C2211yescharacteristic
89#16840120C2211yescharacteristic
90#16840120C2211yescharacteristic, complemented
91#16840111C2211yescharacteristic, complemented
92#16840105C2211yescharacteristic
93#16840103C2211yescharacteristic, complemented
94#16840102C2211yescharacteristic
95#16840086C2211yescharacteristic
96#16840072C2211yescharacteristic, complemented
97#16840071C2211yescharacteristic, complemented
98#16840068C2211yescharacteristic, complemented
99#16840061C2211yescharacteristic, complemented
100#16840054C2211yescharacteristic, complemented
101#16840051C2211yescharacteristic
102#16840046C2211yescharacteristic, complemented
103#16840040C2211yescharacteristic
104#16840040C2211yescharacteristic, complemented
105#16840021C2211yescharacteristic
106#16840013C2211yescharacteristic, complemented
107#16840011C2211yescharacteristic
108#16840010C2211yescharacteristic
109#16840003C2211yescharacteristic, complemented
110#16840002C2211yescharacteristic
111#16840001C2211yescharacteristic, complemented
112#16839998C2211yescharacteristic
113#16839992C2211yescharacteristic
114#16839989C2211yescharacteristic
115#16839987C2211yescharacteristic
116#16839985C2211yescharacteristic
117#16839985C2211yescharacteristic, complemented
118#16839984C2211yescharacteristic
119#16839984C2211yescharacteristic, complemented
120#16839983C2211yescharacteristic
121#16839983C2211yescharacteristic
122#16839983C2211yescharacteristic
123#16839983C2211yescharacteristic
124#16839983C2211yescharacteristic, complemented
125#16839982C2211yescharacteristic
126#16839980C2211yescharacteristic
127#16839980C2211yescharacteristic
128#16839979C2211yescharacteristic, complemented
129#16839976C2211yescharacteristic
130#16839976C2211yescharacteristic, complemented
131#16839971C2211yescharacteristic, complemented
132#16839971C2211yescharacteristic, complemented
133#16839971C2211yescharacteristic, complemented
134#16839971C2211yescharacteristic, complemented
135#16839971C2211yescharacteristic, complemented
136#16839970C2211yescharacteristic, complemented
137#16839966C2211yescharacteristic, complemented
138#16839965C2211yescharacteristic
139#16839961C2211yescharacteristic
140#16839961C2211yescharacteristic
141#16839960C2211yescharacteristic
142#16839959C2211yescharacteristic
143#16839956C2211yescharacteristic
144#16839926C2211yescharacteristic
145#16839926C2211yescharacteristic, complemented
146#16839925C2211yescharacteristic
147#16839924C2211yescharacteristic, complemented
148#16839922C2211yescharacteristic
149#16839919C2211yescharacteristic
150#16839917C2211yescharacteristic, complemented
151#16839916C2211yescharacteristic
152#16839914C2211yescharacteristic
153#16839908C2211yescharacteristic
154#16839907C2211yescharacteristic
155#16839905C2211yescharacteristic
156#16839903C2211yescharacteristic
157#16839903C2211yescharacteristic, complemented
158#16839900C2211yescharacteristic, complemented
159#16839897C2211yescharacteristic
160#16839892C2211yescharacteristic, complemented
161#16839891C2211yescharacteristic, complemented
162#16839871C2211yescharacteristic
163#16839868C2211yescharacteristic, complemented
164#16839867C2211yescharacteristic, complemented
165#16839867C2211yescharacteristic, complemented
166#16839861C2211yescharacteristic
167#16839861C2211yescharacteristic, complemented
168#16839859C2211yescharacteristic
169#16839859C2211yescharacteristic, complemented
170C4×Dic244C2211yescharacteristic, complemented
171#16839853C2211yescharacteristic, complemented
172#16839849C2211yescharacteristic
173#16839836C2211yescharacteristic
174#16839834C2211yescharacteristic, complemented
175#16839833C2211yescharacteristic
176#16839830C2211yescharacteristic
177C8×C22⋊D61C2211yescharacteristic
178#16839821C2211yescharacteristic
179#16839820C2211yescharacteristic, complemented
180#16839816C2211yescharacteristic, complemented
181#16839788C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic
183C2×#14519706C2211yescharacteristic, complemented
184#16839770C2211yescharacteristic, complemented
185#16839765C2211yescharacteristic
186#16839756C2211yescharacteristic
187#16839755C2211yescharacteristic
188C61×#556C2211yescharacteristic, complemented
189C61×#550C2211yescharacteristic
190C61×#486C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#482C2211yescharacteristic, complemented
193C61×#475C2211yescharacteristic, complemented
194C61×#465C2211yescharacteristic
195C61×#465C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#452C2211yescharacteristic, complemented
199C4×Q16×C61C2211yescharacteristic, complemented
200C8×D4×C61C2211yescharacteristic, complemented
201C61×#416C2211yescharacteristic
202C61×#416C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C22×Dic122C2311yescharacteristic
207C22×Dic122C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×D4×D61C2311yescharacteristic
210#14519807—42no—
211#14519806—42no—
212#14519799—42no—
213#14519797—42no—
214C2×Dic244—42no—
215C2×Dic244C2311yescharacteristic
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×Dic244C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758201C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233SD16×D61—42no—
234C2×D488C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758194C2311yescharacteristic
238C2×#11758189C2311yescharacteristic
239C22×#92418C2311yescharacteristic
240C2×C8×D61C2311yescharacteristic
241#14519776—21no—
242#14519776—21no—
243#14519776C2311yescharacteristic
244#14519776C2311yescharacteristic
245#14519775—21no—
246#14519775—21no—
247#14519775C2311yescharacteristic
248#14519775C2311yescharacteristic
249#14519775C2311yescharacteristic
250#14519773C2311yescharacteristic
251#14519772—21no—
252#14519772—21no—
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519772D411yescharacteristic
257#14519771—21no—
258#14519771—21no—
259#14519771—21no—
260#14519771—21no—
261#14519770—21no—
262#14519770—21no—
263#14519770D411yescharacteristic
264#14519769—21no—
265#14519768C2311yescharacteristic
266#14519767—21no—
267#14519767—21no—
268#14519767D411yescharacteristic
269#14519766—21no—
270#14519766C2311yescharacteristic
271#14519766C2311yescharacteristic
272#14519765—21no—
273#14519765C2311yescharacteristic
274#14519765C2311yescharacteristic
275#14519764—21no—
276#14519764C2311yescharacteristic
277#14519764C2311yescharacteristic
278#14519764C2311yescharacteristic
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519763—21no—
286#14519763D411yescharacteristic
287#14519762—21no—
288#14519761—21no—
289#14519761D411yescharacteristic
290#14519760—21no—
291#14519760—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759—21no—
295#14519758—21no—
296#14519758—21no—
297#14519758—21no—
298#14519758—21no—
299#14519758—21no—
300#14519758—21no—
301#14519758D411yescharacteristic
302#14519757—21no—
303#14519757C2311yescharacteristic
304#14519757C2311yescharacteristic
305#14519756—21no—
306#14519756—21no—
307#14519756C2311yescharacteristic
308#14519756C2311yescharacteristic
309#14519755—21no—
310#14519755—21no—
311#14519755—21no—
312#14519755—21no—
313#14519755—21no—
314#14519755—21no—
315#14519754—21no—
316#14519754—21no—
317#14519754—21no—
318#14519754D411yescharacteristic
319#14519753—21no—
320#14519753C2311yescharacteristic
321#14519752C2311yescharacteristic
322#14519751C2311yescharacteristic
323#14519751C2311yescharacteristic
324#14519750—21no—
325#14519750—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#14519749D411yescharacteristic
337#14519748—21no—
338#14519748—21no—
339#14519745—21no—
340#14519745—21no—
341#14519745—21no—
342#14519745—21no—
343Q8×Dic61C2311yescharacteristic
344C4×Dic122—21no—
345C4×Dic122—21no—
346C4×Dic122—21no—
347C4×Dic122—21no—
348C4×Dic122C2311yescharacteristic
349C4×Dic122C2311yescharacteristic
350C4×Dic122C2311yescharacteristic
351#14519742—21no—
352#14519742—21no—
353#14519742—21no—
354#14519742C2311yescharacteristic
355#14519742C2311yescharacteristic
356#14519742C2311yescharacteristic
357#14519742C2311yescharacteristic
358#14519742C2311yescharacteristic
359#14519742C2311yescharacteristic
360D4×Dic61—21no—
361D4×Dic61—21no—
362D4×Dic61—21no—
363D4×Dic61C2311yescharacteristic
364D4×Dic61C2311yescharacteristic
365#14519739—21no—
366#14519739C2311yescharacteristic
367#14519739C2311yescharacteristic
368#14519739C2311yescharacteristic
369C4×C22⋊D61—21no—
370C4×C22⋊D61—21no—
371C4×C22⋊D61C2311yescharacteristic
372C4×C22⋊D61C2311yescharacteristic
373#14519737—21no—
374#14519737—21no—
375#14519737—21no—
376#14519737—21no—
377#14519737—21no—
378#14519736C2311yescharacteristic
379#14519735—21no—
380#14519735C2311yescharacteristic
381#14519734—21no—
382#14519734—21no—
383#14519734—21no—
384#14519734—21no—
385#14519734—21no—
386#14519734C2311yescharacteristic
387#14519733—21no—
388#14519733—21no—
389#14519733—21no—
390#14519733—21no—
391C2×#11758196—21no—
392C2×#11758198—21no—
393C22⋊C4×D61—21no—
394C2×C4×Dic61C2311yescharacteristic
395C42×D61—21no—
396#14519711C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519708C2311yescharacteristic
400#14519708C2311yescharacteristic
401C4⋊#92418C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519688C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439#14519687C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C2×#41×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C22×C8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449#127×C61—21no—
450#127×C61C2311yescharacteristic
451#126×C61—21no—
452#126×C61—21no—
453#124×C61—21no—
454C22⋊Q8×C61C2311yescharacteristic
455C22⋊Q8×C61C2311yescharacteristic
456#121×C61—21no—
457#121×C61—21no—
458#121×C61C2311yescharacteristic
459#121×C61C2311yescharacteristic
460C4×Q8×C61—21no—
461C4×Q8×C61C2311yescharacteristic
462C4×Q8×C61C2311yescharacteristic
463C4×D4×C61—21no—
464C4×D4×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466#117×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485#41×C61—41no—
486#41×C61—41no—
487#41×C61—41no—
488#41×C61—41no—
489C2×Q8×C61—21no—
490C2×Q8×C61C2411yescharacteristic
491C2×Q8×C61C2411yescharacteristic
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
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61C2411yescharacteristic
504C22×C4×C61C2411yescharacteristic
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61C2×D411yescharacteristic
514C2×C22⋊D61C2×D411yescharacteristic
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61C2×D411yescharacteristic
521C22×Dic61C2×D411yescharacteristic
522Q8×D61—22no—
523Q8×D61—41no—
524#11758224—41no—
525#11758224—41no—
526D4×D61—41no—
527D4×D61—41no—
528#11758222—22no—
529#11758222—41no—
530#11758222—41no—
531#11758222—41no—
532C2×D244—21no—
533C2×D244C2411yescharacteristic
534C2×D244C2411yescharacteristic
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61C2411yescharacteristic
542C2×Dic122—22no—
543C2×Dic122—21no—
544C2×Dic122—21no—
545C2×Dic122—21no—
546C2×Dic122—21no—
547C2×Dic122—21no—
548C2×Dic122—41no—
549C2×Dic122—41no—
550C2×Dic122—41no—
551C2×Dic122C2×D411yescharacteristic
552C2×Dic122C2411yescharacteristic
553C2×Dic122C2411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556Q16×C61—41no—
557SD16×C61—41no—
558SD16×C61—41no—
559C2×C8×C61—41no—
560C2×C8×C61—41no—
561C2×C8×C61C2411yescharacteristic
562C2×C8×C61C2411yescharacteristic
563C2×C8×C61C2411yescharacteristic
564C2×C8×C61C2411yescharacteristic
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61—21no—
569C4⋊C4×C61—21no—
570C4⋊C4×C61C2×D411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C4⋊C4×C61C2411yescharacteristic
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61C2×D411yescharacteristic
582C22⋊C4×C61C2×D411yescharacteristic
583C42×C61—21no—
584C42×C61—21no—
585C42×C61—21no—
586C42×C61—21no—
587C42×C61C2411yescharacteristic
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61C2×D411yescharacteristic
599C22⋊Dic61C2×D411yescharacteristic
600C22⋊Dic61C2×D411yescharacteristic
601C22⋊Dic61C2×D411yescharacteristic
602#11758202—22no—
603#11758202—41no—
604#11758202—41no—
605#11758202—41no—
606#11758201—41no—
607#11758201—41no—
608#11758200—22no—
609#11758200—22no—
610#11758200—41no—
611#11758200—41no—
612#11758199—41no—
613#11758199—41no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198C2×D411yescharacteristic
633#11758198C2×D411yescharacteristic
634#11758198C2×D411yescharacteristic
635#11758198C2×D411yescharacteristic
636C4⋊Dic61—21no—
637C4⋊Dic61—21no—
638C4⋊Dic61—21no—
639C4⋊Dic61—21no—
640C4⋊Dic61C2×D411yescharacteristic
641C4⋊Dic61C2×D411yescharacteristic
642C4⋊Dic61C2×D411yescharacteristic
643C4⋊Dic61C2411yescharacteristic
644C4⋊Dic61C2411yescharacteristic
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
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#11758196C2×D411yescharacteristic
666#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670#11758196C2×D411yescharacteristic
671C4×Dic61—21no—
672C4×Dic61—21no—
673C4×Dic61—21no—
674C4×Dic61—21no—
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61C2×D411yescharacteristic
682C4×Dic61C2×D411yescharacteristic
683C4×Dic61C2411yescharacteristic
684C4×Dic61C2411yescharacteristic
685C4×Dic61C2411yescharacteristic
686#11758194—41no—
687C2×#92418—41no—
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692Dic244—22no—
693Dic244—22no—
694Dic244—41no—
695Dic244—41no—
696D488—41no—
697#11758190—22no—
698#11758190—41no—
699#11758190—41no—
700#11758190—41no—
701#11758189—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61C22×D411yescharacteristic
706C23×C61C22×D411yescharacteristic
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—81no—
710C22×D61—81no—
711C22×D61—81no—
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—81no—
718D4×C61—21no—
719D4×C61—21no—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—41no—
723D4×C61—81no—
724D4×C61—81no—
725D4×C61—81no—
726D4×C61—81no—
727D4×C61—81no—
728D4×C61—81no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—81no—
740C2×C4×C61—81no—
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C2511yescharacteristic
746C22⋊D61—41no—
747C22⋊D61—41no—
748C22⋊D61—42no—
749C22⋊D61—81no—
750C22⋊D61—81no—
751C22⋊D61—81no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C22⋊D61—81no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—41no—
763C2×Dic61—41no—
764C2×Dic61—42no—
765C2×Dic61—81no—
766C2×Dic61—81no—
767C2×Dic61—81no—
768C2×Dic61—81no—
769C2×Dic61C22×D411yescharacteristic
770C2×Dic61C22×D411yescharacteristic
771C2×Dic61C22×D411yescharacteristic
772C2×Dic61C22×D411yescharacteristic
773C2×Dic61C22×D411yescharacteristic
774C2×Dic61C22×D411yescharacteristic
775C2×Dic61C22×D411yescharacteristic
776D244—21no—
777D244—21no—
778D244—21no—
779D244—21no—
780D244—81no—
781C4×D61—21no—
782C4×D61—21no—
783C4×D61—42no—
784C4×D61—42no—
785C4×D61—42no—
786C4×D61—81no—
787C4×D61—81no—
788C4×D61—81no—
789Dic122—21no—
790Dic122—21no—
791Dic122—21no—
792Dic122—21no—
793Dic122—21no—
794Dic122—21no—
795Dic122—21no—
796Dic122—41no—
797Dic122—42no—
798Dic122—42no—
799Dic122—81no—
800Dic122—81no—
801Dic122—81no—
802Dic122H(5,𝔽2)12yes—
803C8×C61—21no—
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807#92418—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#62013—611nomaximal, Sylow
812C22×C61—21no—
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—21no—
816C22×C61—21no—
817C22×C61—21no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61C23×D411yescharacteristic
825C2×D61—21no—
826C2×D61—21no—
827C2×D61—21no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—162no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61—41no—
840C4×C61—41no—
841C4×C61—41no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61—41no—
845C4×C61C2×H(5,𝔽2)11yescharacteristic
846C4×C61#58511yescharacteristic
847Dic61—21no—
848Dic61—21no—
849Dic61—21no—
850Dic61—21no—
851Dic61—21no—
852Dic61—21no—
853Dic61—22no—
854Dic61—21no—
855Dic61—41no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860#3562—611no—
861#3518—611no—
862#3402—611no—
863#3401—611no—
864#3375—611no—
865#3369—611no—
866#3321—611no—
867#3319—611no—
868#3313—611no—
869#3311—611no—
870#3304D6111yescharacteristic, complemented
871#3302—611no—
872#3285—611no—
873#3282—611no—
874#3271—611no—
875#3270—611no—
876#3269—611no—
877#3266—611no—
878#3258—611no—
879#3257—611no—
880#3248—611no—
881#3225—611no—
882#3224—611no—
883#3216—611no—
884#3127—611no—
885#3126—611no—
886#3111—611no—
887#3044—611no—
888#3043—611no—
889#3035—611no—
890#2992—611no—
891C2×C61—41no—
892C2×C61—41no—
893C2×C61—81no—
894C2×C61—81no—
895C2×C61#348811yescharacteristic
896C2×C61#358411yescharacteristic
897C2×C61#358611yescharacteristic
898D61—41no—
899D61—81no—
900D61—81no—
901C2×#137—611no—
902C2×#137—611no—
903C2×#135—611no—
904C2×#135—611no—
905C22×Q16—611no—
906C22×SD16—611no—
907#562—1221no—
908#560—1221no—
909#559—611no—
910Q82—611no—
911#556—611no—
912#556—611no—
913#556—611no—
914#556—1221no—
915#556—1221no—
916#556—1221no—
917#556C2×D6111yescharacteristic, complemented
918#555—611no—
919#555—1221no—
920#553—1221no—
921#551—1221no—
922#550C2×D6111yescharacteristic
923D4×Q8—611no—
924#548—611no—
925#548—611no—
926#548—611no—
927#548—611no—
928#547—611no—
929#546—611no—
930#546—611no—
931#542—611no—
932#542—611no—
933#542—1221no—
934#542—1221no—
935#541—611no—
936#540—611no—
937#540—1221no—
938#539—1221no—
939#538—1221no—
940#538—1221no—
941#536—611no—
942#535—611no—
943#533—611no—
944#533—1221no—
945#532—611no—
946#529—611no—
947#529—611no—
948#529—1221no—
949#519—611no—
950#519—611no—
951C4×#41—611no—
952#497—611no—
953#497—611no—
954#497—611no—
955#496—611no—
956#495—611no—
957#495—611no—
958#489—611no—
959#489—611no—
960#489—611no—
961#489—611no—
962#487—611no—
963#486C2×D6111yescharacteristic
964#485—611no—
965#485—611no—
966#485—611no—
967#482—611no—
968#482C2×D6111yescharacteristic
969#482C2×D6111yescharacteristic, complemented
970#479—611no—
971#479—611no—
972#479—611no—
973#478—611no—
974#477—611no—
975#476—611no—
976#475—611no—
977#475C2×D6111yescharacteristic, complemented
978#474—611no—
979#474—611no—
980#470—611no—
981#469—611no—
982#468—611no—
983#468—611no—
984#467—611no—
985#467—611no—
986#467—611no—
987#466—611no—
988#465—611no—
989#465—611no—
990#465C2×D6111yescharacteristic
991#465C2×D6111yescharacteristic, complemented
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#464—611no—
1000#464—611no—
1001#464—611no—
1002#464—611no—
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#462—611no—
1014#461—611no—
1015#461—611no—
1016#460—611no—
1017#460—611no—
1018#460—611no—
1019#460—611no—
1020#460C2×D6111yescharacteristic
1021#459—611no—
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452C2×D6111yescharacteristic
1028#452C2×D6111yescharacteristic, complemented
1029#451—611no—
1030#451—611no—
1031#451—611no—
1032#450—611no—
1033#449—611no—
1034#449—611no—
1035#449—611no—
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#447—611no—
1040#446—611no—
1041#446—611no—
1042#442—611no—
1043#441—611no—
1044#441—611no—
1045#441—611no—
1046#440—611no—
1047#440—611no—
1048#440—611no—
1049#440—611no—
1050C4×Q16—611no—
1051C4×Q16C2×D6111yescharacteristic, complemented
1052C4×SD16—611no—
1053C4×SD16—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058C8×D4—611no—
1059C8×D4C2×D6111yescharacteristic, complemented
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424—611no—
1065C2×C4⋊C8—611no—
1066#419—611no—
1067#418—611no—
1068#416—611no—
1069#416—611no—
1070#416C2×D6111yescharacteristic
1071#416C2×D6111yescharacteristic, complemented
1072C61#6201311yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41C22×D6111yescharacteristic
1077C2×#41C22×D6111yescharacteristic
1078C22×Q8—611no—
1079C22×Q8—611no—
1080C22×Q8—611no—
1081C22×D4—611no—
1082#137—2442no—
1083#137—2442no—
1084#135—2442no—
1085#135—2442no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16—611no—
1093C2×Q16—611no—
1094C2×Q16—2442no—
1095C2×Q16C22×D6111yescharacteristic
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16—611no—
1104C2×SD16—611no—
1105C2×SD16—611no—
1106C2×SD16—2442no—
1107C2×SD16C22×D6111yescharacteristic
1108C2×SD16C22×D6111yescharacteristic
1109C2×D8—611no—
1110C2×D8—611no—
1111C2×D8—611no—
1112C2×M16—611no—
1113C2×M16—611no—
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8C22×D6111yescharacteristic
1117C22×C8C22×D6111yescharacteristic
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—611no—
1123C4⋊Q8—1221no—
1124C4⋊Q8—1221no—
1125C4⋊Q8—1221no—
1126C4⋊Q8—1221no—
1127C4⋊Q8C22×D6111yescharacteristic
1128#127—21no—
1129#127—611no—
1130#127C22×D6111yescharacteristic
1131#126—21no—
1132#126—21no—
1133#126—611no—
1134#126—611no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#126—1221no—
1143#126—1221no—
1144#126—1221no—
1145#126—1221no—
1146#125—611no—
1147#125—611no—
1148#125—1221no—
1149#125—1221no—
1150#125—1221no—
1151#124—21no—
1152#124—611no—
1153#124—611no—
1154#124—611no—
1155#124—611no—
1156#124—611no—
1157#124—611no—
1158#124—611no—
1159#124—611no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124—1221no—
1165#124—1221no—
1166#124—1221no—
1167#124—1221no—
1168#124—1221no—
1169#124—1221no—
1170#123—611no—
1171#123—611no—
1172#123—1221no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185C22⋊Q8—611no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
1191C22⋊Q8—1221no—
1192C22⋊Q8—1221no—
1193C22⋊Q8—1221no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8C22×D6111yescharacteristic
1205C22⋊Q8C22×D6111yescharacteristic
1206#121—21no—
1207#121—21no—
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—611no—
1212#121—1221no—
1213#121—1221no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121C22×D6111yescharacteristic
1227#121C22×D6111yescharacteristic
1228#120—1221no—
1229#120—1221no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—21no—
1233C4×Q8—611no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—611no—
1240C4×Q8—611no—
1241C4×Q8—611no—
1242C4×Q8—611no—
1243C4×Q8—1221no—
1244C4×Q8—1221no—
1245C4×Q8—1221no—
1246C4×Q8—1221no—
1247C4×Q8—1221no—
1248C4×Q8—1221no—
1249C4×Q8—1221no—
1250C4×Q8C22×D6111yescharacteristic
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—21no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—611no—
1259C4×D4—611no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4—1221no—
1271C4×D4C22×D6111yescharacteristic
1272#117—611no—
1273#117—611no—
1274#117—611no—
1275#117—1221no—
1276#117—1221no—
1277#117—1221no—
1278#117—1221no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117C22×D6111yescharacteristic
1286#117C22×D6111yescharacteristic
1287C2×C4⋊C4—1221no—
1288C2×C22⋊C4—1221no—
1289C2×C22⋊C4—1221no—
1290C2×C42—611no—
1291C2×C42—1221no—
1292#107—611no—
1293#107—611no—
1294#107—611no—
1295#107C22×D6111yescharacteristic
1296#106—611no—
1297#106—611no—
1298#106C22×D6111yescharacteristic
1299#106C22×D6111yescharacteristic
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8—611no—
1307C4⋊C8—611no—
1308C4⋊C8—611no—
1309C4⋊C8C22×D6111yescharacteristic
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103—611no—
1323#103—611no—
1324#103C22×D6111yescharacteristic
1325#103C22×D6111yescharacteristic
1326#103C22×D6111yescharacteristic
1327#103C22×D6111yescharacteristic
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102C22×D6111yescharacteristic
1337#102C22×D6111yescharacteristic
1338#102C22×D6111yescharacteristic
1339#102C22×D6111yescharacteristic
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8C22×D6111yescharacteristic
1347C22⋊C8C22×D6111yescharacteristic
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97—611no—
1352C4×C8—611no—
1353C4×C8C22×D6111yescharacteristic
1354C24—1221no—
1355#41—41no—
1356#41—41no—
1357#41—41no—
1358#41—41no—
1359#41—1222no—
1360#41—2441no—
1361#41—2441no—
1362#41—2441no—
1363#41—2441no—
1364#41—2441no—
1365C2×Q8—21no—
1366C2×Q8—611no—
1367C2×Q8—611no—
1368C2×Q8—611no—
1369C2×Q8—611no—
1370C2×Q8—611no—
1371C2×Q8—1221no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1222no—
1375C2×Q8—1221no—
1376C2×Q8—1221no—
1377C2×Q8—1222no—
1378C2×Q8—2441no—
1379C2×Q8—2441no—
1380C2×Q8—2441no—
1381C2×Q8—2441no—
1382C2×Q8C23×D6111yescharacteristic
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—611no—
1391C2×D4—611no—
1392C2×D4—611no—
1393C2×D4—611no—
1394C2×D4—1221no—
1395C2×D4—1221no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—2441no—
1404C2×D4—2441no—
1405C2×D4D4×D6111yescharacteristic
1406C2×D4C23×D6111yescharacteristic
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—611no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—1221no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4C23×D6111yescharacteristic
1425C22×C4C23×D6111yescharacteristic
1426Q16—41no—
1427Q16—1222no—
1428Q16—1222no—
1429Q16—1222no—
1430Q16—2441no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—41no—
1436SD16—41no—
1437SD16—1222no—
1438SD16—1222no—
1439SD16—1222no—
1440SD16—2441no—
1441SD16—2441no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—2441no—
1448D8—2441no—
1449D8—2441no—
1450M16—2441no—
1451M16—2441no—
1452C2×C8—41no—
1453C2×C8—41no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—611no—
1457C2×C8—611no—
1458C2×C8—2441no—
1459C2×C8—2441no—
1460C2×C8C23×D6111yescharacteristic
1461C2×C8C23×D6111yescharacteristic
1462C2×C8C23×D6111yescharacteristic
1463C2×C8C23×D6111yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—611no—
1470C4⋊C4—611no—
1471C4⋊C4—611no—
1472C4⋊C4—611no—
1473C4⋊C4—611no—
1474C4⋊C4—611no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4D4×D6111yescharacteristic
1505C4⋊C4C23×D6111yescharacteristic
1506C4⋊C4C23×D6111yescharacteristic
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—611no—
1516C22⋊C4—611no—
1517C22⋊C4—611no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4D4×D6111yescharacteristic
1552C22⋊C4D4×D6111yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—611no—
1558C42—611no—
1559C42—611no—
1560C42—611no—
1561C42—611no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42—1221no—
1570C42—1221no—
1571C42—1221no—
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—611no—
1576C23—1221no—
1577C23—1221no—
1578C23—4881no—
1579C23—4881no—
1580C23—4881no—
1581C23C2×D4×D6111yescharacteristic
1582C23C2×D4×D6111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—81no—
1588Q8—612no—
1589Q8—1221no—
1590Q8—1221no—
1591Q8—1221no—
1592Q8—1221no—
1593Q8—1221no—
1594Q8—1221no—
1595Q8—1221no—
1596Q8—4881no—
1597Q8—4881no—
1598Q8—4881no—
1599Q8—2441no—
1600Q8—2442no—
1601Q8—2442no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—41no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—1221no—
1614D4—1221no—
1615D4—1221no—
1616D4—1221no—
1617D4—4881no—
1618D4—4881no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—4881no—
1625D4—2441no—
1626D4—2441no—
1627D4—2442no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—611no—
1641C2×C4—611no—
1642C2×C4—611no—
1643C2×C4—611no—
1644C2×C4—611no—
1645C2×C4—611no—
1646C2×C4—611no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—4881no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—4881no—
1662C2×C4—2442no—
1663C2×C4—2442no—
1664C2×C4—2442no—
1665C2×C4—2441no—
1666C2×C4—2441no—
1667C2×C4—2442no—
1668C2×C4C2×D4×D6111yescharacteristic
1669C2×C4C2×D4×D6111yescharacteristic
1670C2×C4C2×D4×D6111yescharacteristic
1671C2×C4C2×D4×D6111yescharacteristic
1672C2×C4C24×D6111yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C8—1221no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—1221no—
1694C22—1221no—
1695C22—1221no—
1696C22—9762no—
1697C22—2441no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22C22×D4×D6111yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—1221no—
1715C4—1222no—
1716C4—1221no—
1717C4—1221no—
1718C4—1221no—
1719C4—1221no—
1720C4—1221no—
1721C4—1221no—
1722C4—2441no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4H(5,𝔽2)×D6111yescharacteristic
1728C4#1684059811yescharacteristic
1729C2—41no—
1730C2—41no—
1731C2—81no—
1732C2—81no—
1733C2—4881no—
1734C2—4881no—
1735C2—2441no—
1736C2#2145948211yescharacteristic
1737C2#2146058811yescharacteristic
1738C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3304C2
socleC22×C61C23×D4
hypercenter#3304D61
hypocenterC61#62013
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3304

Complements

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

NH ≅ G/Ntype
1. #21460393C2semidirect
2. #21459829C2semidirect
3. #21458896C2semidirect
4. #21458878C2semidirect
5. #21458638C2semidirect
6. #21458562C2semidirect
7. #21458008C2semidirect
8. #21457971C2semidirect
9. #21457879C2semidirect
10. #21457853C2semidirect
11. #21457732C2semidirect
12. #21457562C2semidirect
13. #21457533C2semidirect
14. #21457400C2semidirect
15. #21457386C2semidirect
16. #21457378C2semidirect
17. #21457327C2semidirect
18. #21457252C2semidirect
19. #21457233C2semidirect
20. #21457149C2semidirect
21. #21456932C2semidirect
22. #21456916C2semidirect
23. #21456827C2semidirect
24. #21456116C2semidirect
25. #21456106C2semidirect
26. #21455923C2semidirect
27. #21455352C2semidirect
28. #21455335C2semidirect
29. #21455272C2semidirect
30. #21454952C2semidirect
31. C61×#3304C2semidirect
35. C2×#14519797C22semidirect
36. C22×Dic244C22semidirect
41. #16840492C22semidirect
44. #16840484C22semidirect
55. #16840421C22semidirect
61. #16840385C22semidirect
73. #16840314C22semidirect
78. #16840239C22semidirect
80. #16840230C22semidirect
82. #16840155C22semidirect
83. #16840153C22semidirect
90. #16840120C22semidirect
91. #16840111C22semidirect
93. #16840103C22semidirect
96. #16840072C22semidirect
97. #16840071C22semidirect
98. #16840068C22semidirect
99. #16840061C22semidirect
100. #16840054C22semidirect
102. #16840046C22semidirect
104. #16840040C22semidirect
106. #16840013C22semidirect
109. #16840003C22semidirect
111. #16840001C22semidirect
117. #16839985C22semidirect
119. #16839984C22semidirect
124. #16839983C22semidirect
128. #16839979C22semidirect
130. #16839976C22semidirect
131. #16839971C22semidirect
132. #16839971C22semidirect
133. #16839971C22semidirect
134. #16839971C22semidirect
135. #16839971C22semidirect
136. #16839970C22semidirect
137. #16839966C22semidirect
145. #16839926C22semidirect
147. #16839924C22semidirect
150. #16839917C22semidirect
157. #16839903C22semidirect
158. #16839900C22semidirect
160. #16839892C22semidirect
161. #16839891C22semidirect
163. #16839868C22semidirect
164. #16839867C22semidirect
165. #16839867C22semidirect
167. #16839861C22semidirect
169. #16839859C22semidirect
170. C4×Dic244C22semidirect
171. #16839853C22semidirect
174. #16839834C22semidirect
179. #16839820C22semidirect
180. #16839816C22semidirect
181. #16839788C22semidirect
183. C2×#14519706C22semidirect
184. #16839770C22semidirect
188. C61×#556C22semidirect
192. C61×#482C22semidirect
193. C61×#475C22semidirect
195. C61×#465C22semidirect
198. C61×#452C22semidirect
199. C4×Q16×C61C22semidirect
200. C8×D4×C61C22semidirect
202. C61×#416C22semidirect
870. #3304D61semidirect
917. #556C2×D61semidirect
969. #482C2×D61semidirect
977. #475C2×D61semidirect
991. #465C2×D61semidirect
1028. #452C2×D61semidirect
1051. C4×Q16C2×D61semidirect
1059. C8×D4C2×D61semidirect
1071. #416C2×D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214603932
#214598292
#214588962
#214588782
#214586382
#214585622
#214580082
#214579712
#214578792
#214578532
#214577322
#214575622
#214575332
#214574002
#214573862
#214573782
#214573272
#214572522
#214572332
#214571492
#214569322
#214569162
#214568272
#214561162
#214561062
#214559232
#214553522
#214553352
#214552722
#214549522
C61×#33042
#6201361