Finite Group Databasebeta

← #30573467

Subgroups — #30573467

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#21460401C211yesmaximal, characteristic, complemented
2#21459829C211yesmaximal, characteristic, complemented
3#21458899C211yesmaximal, characteristic, complemented
4#21458889C211yesmaximal, characteristic, complemented
5#21458630C211yesmaximal, characteristic, complemented
6#21458558C211yesmaximal, characteristic, complemented
7#21458003C211yesmaximal, characteristic, complemented
8#21457976C211yesmaximal, characteristic, complemented
9#21457881C211yesmaximal, characteristic, complemented
10#21457756C211yesmaximal, characteristic, complemented
11#21457730C211yesmaximal, characteristic, complemented
12#21457558C211yesmaximal, characteristic, complemented
13#21457522C211yesmaximal, characteristic, complemented
14#21457401C211yesmaximal, characteristic, complemented
15#21457396C211yesmaximal, characteristic, complemented
16#21457379C211yesmaximal, characteristic, complemented
17#21457333C211yesmaximal, characteristic, complemented
18#21457240C211yesmaximal, characteristic, complemented
19#21457229C211yesmaximal, characteristic, complemented
20#21457149C211yesmaximal, characteristic, complemented
21#21456929C211yesmaximal, characteristic, complemented
22#21456917C211yesmaximal, characteristic, complemented
23#21456827C211yesmaximal, characteristic, complemented
24#21456115C211yesmaximal, characteristic, complemented
25#21456109C211yesmaximal, characteristic, complemented
26#21455923C211yesmaximal, characteristic, complemented
27#21455347C211yesmaximal, characteristic, complemented
28#21455339C211yesmaximal, characteristic, complemented
29#21455272C211yesmaximal, characteristic, complemented
30#21454959C211yesmaximal, characteristic, complemented
31C61×#3311C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic
33C2×#14519806C2211yescharacteristic
34C2×#14519799C2211yescharacteristic, complemented
35C2×#14519797C2211yescharacteristic
36C2×Q16×D61C2211yescharacteristic, complemented
37C22×#11758200C2211yescharacteristic
38#16840507—21no—
39#16840501—21no—
40#16840494C2211yescharacteristic
41#16840492C2211yescharacteristic, complemented
42#16840484—21no—
43#16840484C2211yescharacteristic, complemented
44#16840482C2211yescharacteristic
45#16840480C2211yescharacteristic, complemented
46#16840479—21no—
47#16840479—21no—
48#16840475C2211yescharacteristic
49#16840474—21no—
50#16840457—21no—
51#16840438—21no—
52#16840430C2211yescharacteristic
53#16840425C2211yescharacteristic
54#16840422C2211yescharacteristic
55#16840422C2211yescharacteristic, complemented
56#16840421C2211yescharacteristic
57#16840419C2211yescharacteristic
58#16840417C2211yescharacteristic
59#16840406C2211yescharacteristic
60#16840386C2211yescharacteristic, complemented
61#16840385C2211yescharacteristic
62#16840378—21no—
63#16840376—21no—
64#16840372C2211yescharacteristic
65#16840365—21no—
66#16840363C2211yescharacteristic
67#16840355—21no—
68#16840350—21no—
69#16840347—21no—
70#16840332C2211yescharacteristic
71#16840329C2211yescharacteristic
72#16840316—21no—
73#16840314C2211yescharacteristic, complemented
74#16840308C2211yescharacteristic
75#16840295—21no—
76#16840293C2211yescharacteristic
77#16840292C2211yescharacteristic
78#16840239C2211yescharacteristic
79#16840238C2211yescharacteristic, complemented
80#16840230C2211yescharacteristic, complemented
81#16840156C2211yescharacteristic, complemented
82#16840155C2211yescharacteristic, complemented
83#16840153C2211yescharacteristic
84#16840148C2211yescharacteristic
85#16840144C2211yescharacteristic
86#16840143C2211yescharacteristic
87#16840123C2211yescharacteristic, complemented
88#16840120C2211yescharacteristic
89#16840120C2211yescharacteristic
90#16840114C2211yescharacteristic, complemented
91#16840107C2211yescharacteristic
92#16840103C2211yescharacteristic
93#16840103C2211yescharacteristic, complemented
94#16840089C2211yescharacteristic, complemented
95#16840084C2211yescharacteristic
96#16840072C2211yescharacteristic, complemented
97#16840071C2211yescharacteristic, complemented
98#16840068C2211yescharacteristic, complemented
99#16840061C2211yescharacteristic, complemented
100#16840055C2211yescharacteristic, complemented
101#16840046C2211yescharacteristic, complemented
102#16840046C2211yescharacteristic, complemented
103#16840040C2211yescharacteristic
104#16840039C2211yescharacteristic, complemented
105#16840016C2211yescharacteristic, complemented
106#16840008C2211yescharacteristic
107#16840007C2211yescharacteristic
108#16840003C2211yescharacteristic, complemented
109#16840001C2211yescharacteristic
110#16840001C2211yescharacteristic, complemented
111#16839997C2211yescharacteristic
112#16839993C2211yescharacteristic
113#16839992C2211yescharacteristic, complemented
114#16839989C2211yescharacteristic
115#16839987C2211yescharacteristic, complemented
116#16839987C2211yescharacteristic, complemented
117#16839986C2211yescharacteristic, complemented
118#16839983C2211yescharacteristic
119#16839983C2211yescharacteristic
120#16839983C2211yescharacteristic
121#16839983C2211yescharacteristic
122#16839983C2211yescharacteristic
123#16839982C2211yescharacteristic
124#16839981C2211yescharacteristic
125#16839980C2211yescharacteristic, complemented
126#16839978C2211yescharacteristic, complemented
127#16839977C2211yescharacteristic
128#16839976C2211yescharacteristic
129#16839976C2211yescharacteristic
130#16839973C2211yescharacteristic, complemented
131#16839972C2211yescharacteristic, complemented
132#16839971C2211yescharacteristic, complemented
133#16839971C2211yescharacteristic, complemented
134#16839971C2211yescharacteristic, complemented
135#16839970C2211yescharacteristic, complemented
136#16839966C2211yescharacteristic, complemented
137#16839965C2211yescharacteristic
138#16839961C2211yescharacteristic
139#16839961C2211yescharacteristic
140#16839961C2211yescharacteristic
141#16839961C2211yescharacteristic
142#16839960C2211yescharacteristic
143#16839956C2211yescharacteristic
144#16839926C2211yescharacteristic, complemented
145#16839926C2211yescharacteristic, complemented
146#16839925C2211yescharacteristic
147#16839924C2211yescharacteristic
148#16839922C2211yescharacteristic
149#16839922C2211yescharacteristic, complemented
150#16839920C2211yescharacteristic
151#16839919C2211yescharacteristic, complemented
152#16839917C2211yescharacteristic
153#16839909C2211yescharacteristic
154#16839908C2211yescharacteristic
155#16839905C2211yescharacteristic
156#16839902C2211yescharacteristic, complemented
157#16839902C2211yescharacteristic, complemented
158#16839899C2211yescharacteristic
159#16839896C2211yescharacteristic
160#16839890C2211yescharacteristic, complemented
161#16839889C2211yescharacteristic, complemented
162#16839871C2211yescharacteristic
163#16839868C2211yescharacteristic, complemented
164#16839868C2211yescharacteristic, complemented
165#16839866C2211yescharacteristic, complemented
166#16839864C2211yescharacteristic, complemented
167#16839861C2211yescharacteristic, complemented
168#16839859C2211yescharacteristic
169#16839856C2211yescharacteristic, complemented
170#16839854C2211yescharacteristic, complemented
171C4×#11758201C2211yescharacteristic, complemented
172C4×#11758200C2211yescharacteristic
173#16839833C2211yescharacteristic, complemented
174#16839831C2211yescharacteristic
175#16839830C2211yescharacteristic
176D4×#92418C2211yescharacteristic
177#16839825C2211yescharacteristic, complemented
178#16839824C2211yescharacteristic, complemented
179#16839820C2211yescharacteristic
180#16839816C2211yescharacteristic, complemented
181#16839790C2211yescharacteristic
182#16839787C2211yescharacteristic, complemented
183C2×#14519706C2211yescharacteristic, complemented
184#16839769C2211yescharacteristic, complemented
185#16839756C2211yescharacteristic
186#16839756C2211yescharacteristic, complemented
187#16839755C2211yescharacteristic
188C61×#556C2211yescharacteristic
189C61×#546C2211yescharacteristic
190C61×#489C2211yescharacteristic
191C61×#485C2211yescharacteristic
192C61×#482C2211yescharacteristic
193C61×#476C2211yescharacteristic
194C61×#470C2211yescharacteristic
195C61×#465C2211yescharacteristic
196C61×#464C2211yescharacteristic
197C61×#452C2211yescharacteristic
198C61×#450C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C61×#435C2211yescharacteristic
201C61×#418C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C22×Dic122C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210#14519810—42no—
211#14519806—42no—
212#14519799—42no—
213#14519797—42no—
214C2×Dic244C2311yescharacteristic
215C2×Dic244C2311yescharacteristic
216C2×Dic244C2311yescharacteristic
217C2×Dic244C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220C2×#11758202C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222Q16×D61—42no—
223C2×#11758190C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758200—42no—
228C2×#11758200C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758201C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234C2×D488C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758189C2311yescharacteristic
238C22×#92418C2311yescharacteristic
239C22×#92418C2311yescharacteristic
240C2×C8×D61C2311yescharacteristic
241#14519777C2311yescharacteristic
242#14519776—21no—
243#14519776—21no—
244#14519776C2311yescharacteristic
245#14519776C2311yescharacteristic
246#14519775—21no—
247#14519775—21no—
248#14519775C2311yescharacteristic
249#14519775C2311yescharacteristic
250#14519773—21no—
251#14519773C2311yescharacteristic
252#14519773C2311yescharacteristic
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519772D411yescharacteristic
257#14519771—21no—
258#14519771—21no—
259#14519770—21no—
260#14519770—21no—
261#14519770—21no—
262#14519770—21no—
263#14519770—21no—
264#14519770—21no—
265#14519770D411yescharacteristic
266#14519768—21no—
267#14519768C2311yescharacteristic
268#14519767—21no—
269#14519767—21no—
270#14519767D411yescharacteristic
271#14519766—21no—
272#14519766C2311yescharacteristic
273#14519766C2311yescharacteristic
274#14519765—21no—
275#14519765C2311yescharacteristic
276#14519764—21no—
277#14519764C2311yescharacteristic
278#14519764C2311yescharacteristic
279#14519764C2311yescharacteristic
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763—21no—
285#14519763—21no—
286#14519763—21no—
287#14519763D411yescharacteristic
288#14519762—21no—
289#14519761—21no—
290#14519761D411yescharacteristic
291#14519760—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759—21no—
295#14519759—21no—
296#14519759—21no—
297#14519759—21no—
298#14519759—21no—
299#14519758—21no—
300#14519758—21no—
301#14519758D411yescharacteristic
302#14519757—21no—
303#14519757C2311yescharacteristic
304#14519756—21no—
305#14519756—21no—
306#14519756C2311yescharacteristic
307#14519756C2311yescharacteristic
308#14519756C2311yescharacteristic
309#14519755—21no—
310#14519755—21no—
311#14519755—21no—
312#14519755—21no—
313#14519755—21no—
314#14519754—21no—
315#14519754—21no—
316#14519754—21no—
317#14519754—21no—
318#14519754D411yescharacteristic
319#14519753—21no—
320#14519752C2311yescharacteristic
321#14519752C2311yescharacteristic
322#14519751—21no—
323#14519751C2311yescharacteristic
324#14519750—21no—
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750—21no—
329#14519749—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749—21no—
333#14519749—21no—
334#14519749D411yescharacteristic
335#14519748—21no—
336#14519748—21no—
337#14519748—21no—
338#14519748—21no—
339#14519748C2311yescharacteristic
340#14519746—21no—
341#14519746—21no—
342#14519746—21no—
343Q8×Dic61C2311yescharacteristic
344Q8×Dic61C2311yescharacteristic
345C4×Dic122—21no—
346C4×Dic122—21no—
347C4×Dic122—21no—
348C4×Dic122—21no—
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
360#14519742C2311yescharacteristic
361C4×D244C2311yescharacteristic
362D4×Dic61—21no—
363D4×Dic61C2311yescharacteristic
364#14519739—21no—
365#14519739—21no—
366#14519739C2311yescharacteristic
367#14519739C2311yescharacteristic
368C4×C22⋊D61—21no—
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#14519737—21no—
379#14519736—21no—
380#14519736C2311yescharacteristic
381#14519735—21no—
382#14519735C2311yescharacteristic
383#14519734—21no—
384#14519734—21no—
385#14519734—21no—
386#14519734—21no—
387#14519734C2311yescharacteristic
388#14519733—21no—
389#14519733—21no—
390#14519733—21no—
391#14519733—21no—
392C4⋊C4×D61—21no—
393C2×C22⋊Dic61—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#14519687C2311yescharacteristic
437#14519687C2311yescharacteristic
438#14519687C2311yescharacteristic
439C4×#92418C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×#41×C61C2311yescharacteristic
442C22×D4×C61C2311yescharacteristic
443C2×Q16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C2×M16×C61C2311yescharacteristic
447C22×C8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449#126×C61—21no—
450#126×C61—21no—
451#124×C61—21no—
452#124×C61C2311yescharacteristic
453#123×C61—21no—
454C22⋊Q8×C61C2311yescharacteristic
455C22⋊Q8×C61C2311yescharacteristic
456C22⋊Q8×C61C2311yescharacteristic
457#121×C61—21no—
458#121×C61C2311yescharacteristic
459#120×C61—21no—
460C4×Q8×C61—21no—
461C4×Q8×C61C2311yescharacteristic
462C4×D4×C61C2311yescharacteristic
463C4×D4×C61C2311yescharacteristic
464#117×C61C2311yescharacteristic
465#117×C61C2311yescharacteristic
466C2×C22⋊C4×C61—21no—
467#107×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483#97×C61C2311yescharacteristic
484C24×C61—21no—
485#41×C61—41no—
486#41×C61—41no—
487C2×Q8×C61—21no—
488C2×Q8×C61C2411yescharacteristic
489C2×Q8×C61C2411yescharacteristic
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—41no—
494C2×D4×C61—41no—
495C2×D4×C61C2×D411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C2×D4×C61C2411yescharacteristic
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61C2411yescharacteristic
501C22×C4×C61C2411yescharacteristic
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61C2×D411yescharacteristic
513C2×C22⋊D61C2×D411yescharacteristic
514C22×Dic61—21no—
515C22×Dic61—21no—
516C22×Dic61—21no—
517C22×Dic61C2×D411yescharacteristic
518C22×Dic61C2×D411yescharacteristic
519Q8×D61—22no—
520Q8×D61—41no—
521Q8×D61—41no—
522Q8×D61—41no—
523#11758224—41no—
524#11758224—41no—
525#11758222—22no—
526#11758222—41no—
527#11758222—41no—
528#11758222—41no—
529#11758222—41no—
530#11758222—41no—
531C2×D244—21no—
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×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61C2411yescharacteristic
544C2×Dic122—22no—
545C2×Dic122—21no—
546C2×Dic122—21no—
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122—21no—
550C2×Dic122—41no—
551C2×Dic122C2×D411yescharacteristic
552C2×Dic122C2411yescharacteristic
553C2×Dic122C2411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556Q16×C61—41no—
557SD16×C61—41no—
558SD16×C61—41no—
559M16×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×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61C2×D411yescharacteristic
585C22⋊C4×C61C2×D411yescharacteristic
586C42×C61—21no—
587C42×C61—21no—
588C42×C61—21no—
589C42×C61C2411yescharacteristic
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⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61C2×D411yescharacteristic
602C22⋊Dic61C2×D411yescharacteristic
603C22⋊Dic61C2×D411yescharacteristic
604C22⋊Dic61C2×D411yescharacteristic
605#11758202—22no—
606#11758202—41no—
607#11758202—41no—
608#11758202—41no—
609#11758201—41no—
610#11758201—41no—
611#11758200—22no—
612#11758200—22no—
613#11758200—41no—
614#11758200—41no—
615#11758199—41no—
616#11758199—41no—
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#11758198C2×D411yescharacteristic
632#11758198C2×D411yescharacteristic
633#11758198C2×D411yescharacteristic
634#11758198C2×D411yescharacteristic
635C4⋊Dic61—21no—
636C4⋊Dic61—21no—
637C4⋊Dic61—21no—
638C4⋊Dic61—21no—
639C4⋊Dic61—21no—
640C4⋊Dic61—21no—
641C4⋊Dic61C2×D411yescharacteristic
642C4⋊Dic61C2×D411yescharacteristic
643C4⋊Dic61C2×D411yescharacteristic
644C4⋊Dic61C2411yescharacteristic
645C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
665#11758196C2×D411yescharacteristic
666#11758196C2×D411yescharacteristic
667#11758196C2×D411yescharacteristic
668#11758196C2×D411yescharacteristic
669#11758196C2×D411yescharacteristic
670C4×Dic61—21no—
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
686C2×#92418—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×C61—81no—
706C23×C61—81no—
707C23×C61—81no—
708C23×C61C22×D411yescharacteristic
709C23×C61C22×D411yescharacteristic
710C22×D61—21no—
711C22×D61—21no—
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—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
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—81no—
737C2×C4×C61—81no—
738C2×C4×C61C22×D411yescharacteristic
739C2×C4×C61C22×D411yescharacteristic
740C2×C4×C61C22×D411yescharacteristic
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C2511yescharacteristic
743C22⋊D61—41no—
744C22⋊D61—41no—
745C22⋊D61—42no—
746C22⋊D61—81no—
747C22⋊D61—81no—
748C22⋊D61—81no—
749C22⋊D61—81no—
750C22⋊D61—81no—
751C22⋊D61—81no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—41no—
762C2×Dic61—41no—
763C2×Dic61—42no—
764C2×Dic61—81no—
765C2×Dic61—81no—
766C2×Dic61C22×D411yescharacteristic
767C2×Dic61C22×D411yescharacteristic
768C2×Dic61C22×D411yescharacteristic
769C2×Dic61C22×D411yescharacteristic
770C2×Dic61C22×D411yescharacteristic
771C2×Dic61C22×D411yescharacteristic
772C2×Dic61C22×D411yescharacteristic
773D244—21no—
774D244—21no—
775D244—21no—
776D244—21no—
777D244—81no—
778D244—81no—
779C4×D61—21no—
780C4×D61—21no—
781C4×D61—42no—
782C4×D61—42no—
783C4×D61—42no—
784C4×D61—81no—
785C4×D61—81no—
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×C61—162no—
825C22×C61C23×D411yescharacteristic
826C2×D61—21no—
827C2×D61—21no—
828C2×D61—21no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
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#3311D6111yescharacteristic, complemented
870#3304—611no—
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
918#555—611no—
919#555—1221no—
920#553—1221no—
921#551—1221no—
922#550—611no—
923D4×Q8—611no—
924#548—611no—
925#548—611no—
926#548—611no—
927#548—611no—
928#547—611no—
929#546—611no—
930#546C2×D6111yescharacteristic
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#489C2×D6111yescharacteristic
962#487—611no—
963#486—611no—
964#485—611no—
965#485—611no—
966#485C2×D6111yescharacteristic
967#482—611no—
968#482—611no—
969#482C2×D6111yescharacteristic
970#479—611no—
971#479—611no—
972#479—611no—
973#478—611no—
974#477—611no—
975#476C2×D6111yescharacteristic
976#475—611no—
977#475—611no—
978#474—611no—
979#474—611no—
980#470C2×D6111yescharacteristic
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#465—611no—
991#465C2×D6111yescharacteristic
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#464C2×D6111yescharacteristic
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#460—611no—
1021#459—611no—
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452—611no—
1028#452C2×D6111yescharacteristic
1029#451—611no—
1030#451—611no—
1031#451—611no—
1032#450C2×D6111yescharacteristic
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#440C2×D6111yescharacteristic
1050C4×Q16—611no—
1051C4×Q16—611no—
1052C4×SD16—611no—
1053C4×SD16—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435C2×D6111yescharacteristic
1058C8×D4—611no—
1059C8×D4—611no—
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424—611no—
1065C2×C4⋊C8—611no—
1066#419—611no—
1067#418C2×D6111yescharacteristic
1068#416—611no—
1069#416—611no—
1070#416—611no—
1071#416C2×D6111yescharacteristic
1072C61#6201311yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41—611no—
1077C2×#41C22×D6111yescharacteristic
1078C22×Q8—611no—
1079C22×Q8—611no—
1080C22×Q8—611no—
1081C22×D4C22×D6111yescharacteristic
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×M16C22×D6111yescharacteristic
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8—611no—
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—611no—
1129#127—611no—
1130#127—1221no—
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—1221no—
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#124C22×D6111yescharacteristic
1170#123—21no—
1171#123—611no—
1172#123—611no—
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—1221no—
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⋊Q8C22×D6111yescharacteristic
1204C22⋊Q8C22×D6111yescharacteristic
1205C22⋊Q8C22×D6111yescharacteristic
1206#121—21no—
1207#121—611no—
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#121—1221no—
1227#121C22×D6111yescharacteristic
1228#120—21no—
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—611no—
1244C4×Q8—1221no—
1245C4×Q8—1221no—
1246C4×Q8—1221no—
1247C4×Q8—1221no—
1248C4×Q8—1221no—
1249C4×Q8—1221no—
1250C4×Q8—1221no—
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—611no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—1221no—
1259C4×D4—1221no—
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×D4C22×D6111yescharacteristic
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—21no—
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#97C22×D6111yescharacteristic
1352C4×C8—611no—
1353C4×C8—611no—
1354C24—21no—
1355#41—41no—
1356#41—41no—
1357#41—1222no—
1358#41—2441no—
1359#41—2441no—
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—1221no—
1375C2×Q8—1222no—
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—41no—
1388C2×D4—41no—
1389C2×D4—611no—
1390C2×D4—611no—
1391C2×D4—611no—
1392C2×D4—611no—
1393C2×D4—1221no—
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—1221no—
1404C2×D4—1221no—
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—41no—
1451M16—2441no—
1452C2×C8—41no—
1453C2×C8—611no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—611no—
1457C2×C8—2441no—
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—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—611no—
1523C22⋊C4—611no—
1524C22⋊C4—611no—
1525C22⋊C4—611no—
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—611no—
1557C42—611no—
1558C42—611no—
1559C42—611no—
1560C42—611no—
1561C42—1221no—
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—81no—
1576C23—81no—
1577C23—81no—
1578C23—611no—
1579C23—1221no—
1580C23—1221no—
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—1221no—
1611D4—1221no—
1612D4—1221no—
1613D4—1221no—
1614D4—4881no—
1615D4—4881no—
1616D4—4881no—
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—162no—
1694C22—1221no—
1695C22—1221no—
1696C22—1221no—
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#2146059211yescharacteristic
1738C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3311C2
socleC22×C61C23×D4
hypercenter#3311D61
hypocenterC61#62013
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #21460401C2semidirect
2. #21459829C2semidirect
3. #21458899C2semidirect
4. #21458889C2semidirect
5. #21458630C2semidirect
6. #21458558C2semidirect
7. #21458003C2semidirect
8. #21457976C2semidirect
9. #21457881C2semidirect
10. #21457756C2semidirect
11. #21457730C2semidirect
12. #21457558C2semidirect
13. #21457522C2semidirect
14. #21457401C2semidirect
15. #21457396C2semidirect
16. #21457379C2semidirect
17. #21457333C2semidirect
18. #21457240C2semidirect
19. #21457229C2semidirect
20. #21457149C2semidirect
21. #21456929C2semidirect
22. #21456917C2semidirect
23. #21456827C2semidirect
24. #21456115C2semidirect
25. #21456109C2semidirect
26. #21455923C2semidirect
27. #21455347C2semidirect
28. #21455339C2semidirect
29. #21455272C2semidirect
30. #21454959C2semidirect
31. C61×#3311C2semidirect
34. C2×#14519799C22semidirect
36. C2×Q16×D61C22semidirect
41. #16840492C22semidirect
43. #16840484C22semidirect
45. #16840480C22semidirect
55. #16840422C22semidirect
60. #16840386C22semidirect
73. #16840314C22semidirect
79. #16840238C22semidirect
80. #16840230C22semidirect
81. #16840156C22semidirect
82. #16840155C22semidirect
87. #16840123C22semidirect
90. #16840114C22semidirect
93. #16840103C22semidirect
94. #16840089C22semidirect
96. #16840072C22semidirect
97. #16840071C22semidirect
98. #16840068C22semidirect
99. #16840061C22semidirect
100. #16840055C22semidirect
101. #16840046C22semidirect
102. #16840046C22semidirect
104. #16840039C22semidirect
105. #16840016C22semidirect
108. #16840003C22semidirect
110. #16840001C22semidirect
113. #16839992C22semidirect
115. #16839987C22semidirect
116. #16839987C22semidirect
117. #16839986C22semidirect
125. #16839980C22semidirect
126. #16839978C22semidirect
130. #16839973C22semidirect
131. #16839972C22semidirect
132. #16839971C22semidirect
133. #16839971C22semidirect
134. #16839971C22semidirect
135. #16839970C22semidirect
136. #16839966C22semidirect
144. #16839926C22semidirect
145. #16839926C22semidirect
149. #16839922C22semidirect
151. #16839919C22semidirect
156. #16839902C22semidirect
157. #16839902C22semidirect
160. #16839890C22semidirect
161. #16839889C22semidirect
163. #16839868C22semidirect
164. #16839868C22semidirect
165. #16839866C22semidirect
166. #16839864C22semidirect
167. #16839861C22semidirect
169. #16839856C22semidirect
170. #16839854C22semidirect
171. C4×#11758201C22semidirect
173. #16839833C22semidirect
177. #16839825C22semidirect
178. #16839824C22semidirect
180. #16839816C22semidirect
182. #16839787C22semidirect
183. C2×#14519706C22semidirect
184. #16839769C22semidirect
186. #16839756C22semidirect
869. #3311D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214604012
#214598292
#214588992
#214588892
#214586302
#214585582
#214580032
#214579762
#214578812
#214577562
#214577302
#214575582
#214575222
#214574012
#214573962
#214573792
#214573332
#214572402
#214572292
#214571492
#214569292
#214569172
#214568272
#214561152
#214561092
#214559232
#214553472
#214553392
#214552722
#214549592
C61×#33112
#6201361