Finite Group Databasebeta

← #30563025

Subgroups — #30563025

Order 15616.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459926C211yesmaximal, characteristic, complemented
2#21459875C211yesmaximal, characteristic, complemented
3#21458882C211yesmaximal, characteristic, complemented
4#21458757C211yesmaximal, characteristic, complemented
5#21458503C211yesmaximal, characteristic, complemented
6#21458474C211yesmaximal, characteristic, complemented
7#21458372C211yesmaximal, characteristic, complemented
8#21458352C211yesmaximal, characteristic, complemented
9#21458326C211yesmaximal, characteristic, complemented
10#21457756C211yesmaximal, characteristic, complemented
11#21457744C211yesmaximal, characteristic, complemented
12#21457728C211yesmaximal, characteristic, complemented
13#21457709C211yesmaximal, characteristic, complemented
14#21457673C211yesmaximal, characteristic, complemented
15#21457658C211yesmaximal, characteristic, complemented
16#21457454C211yesmaximal, characteristic, complemented
17#21457380C211yesmaximal, characteristic, complemented
18#21457357C211yesmaximal, characteristic, complemented
19#21456508C211yesmaximal, characteristic, complemented
20#21456481C211yesmaximal, characteristic, complemented
21#21456385C211yesmaximal, characteristic, complemented
22#21456044C211yesmaximal, characteristic, complemented
23#21456035C211yesmaximal, characteristic, complemented
24#21456014C211yesmaximal, characteristic, complemented
25#21455932C211yesmaximal, characteristic, complemented
26#21455924C211yesmaximal, characteristic, complemented
27#21454792C211yesmaximal, characteristic, complemented
28#21454659C211yesmaximal, characteristic, complemented
29#21454651C211yesmaximal, characteristic, complemented
30C4×#14519796C211yesmaximal, characteristic, complemented
31C61×#3118C211yesmaximal, characteristic, complemented
32C2×#14519806C2211yescharacteristic
33C2×#14519803C2211yescharacteristic
34C2×#14519796C2211yescharacteristic
35#16840494—21no—
36#16840494C2211yescharacteristic, complemented
37#16840487C2211yescharacteristic, complemented
38#16840482C2211yescharacteristic
39#16840480C2211yescharacteristic
40#16840478C2211yescharacteristic, complemented
41#16840474—21no—
42#16840471C2211yescharacteristic
43#16840464C2211yescharacteristic
44#16840463—21no—
45#16840462C2211yescharacteristic
46#16840461—21no—
47#16840454C2211yescharacteristic
48#16840452—21no—
49#16840451C2211yescharacteristic
50#16840448—21no—
51#16840438—21no—
52#16840438—21no—
53#16840430C2211yescharacteristic
54#16840422C2211yescharacteristic
55#16840420C2211yescharacteristic, complemented
56#16840416C2211yescharacteristic
57#16840406C2211yescharacteristic
58#16840406C2211yescharacteristic
59#16840382—21no—
60#16840377C2211yescharacteristic
61#16840374C2211yescharacteristic
62#16840364—21no—
63#16840363C2211yescharacteristic, complemented
64#16840354—21no—
65#16840350—21no—
66#16840299C2211yescharacteristic, complemented
67#16840298—21no—
68#16840294C2211yescharacteristic
69#16840292—21no—
70#16840290C2211yescharacteristic
71#16840289—21no—
72C2×#14519770—21no—
73#16840242C2211yescharacteristic
74#16840241C2211yescharacteristic
75#16840238C2211yescharacteristic, complemented
76C4×#11758224C2211yescharacteristic
77C4×#11758224C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840168C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840157C2211yescharacteristic, complemented
82#16840150C2211yescharacteristic
83#16840143C2211yescharacteristic
84#16840118C2211yescharacteristic, complemented
85#16840116C2211yescharacteristic, complemented
86#16840115C2211yescharacteristic
87#16840115C2211yescharacteristic
88#16840114C2211yescharacteristic, complemented
89#16840107C2211yescharacteristic, complemented
90#16840106C2211yescharacteristic, complemented
91#16840106C2211yescharacteristic, complemented
92#16840102C2211yescharacteristic, complemented
93#16840098C2211yescharacteristic
94#16840093C2211yescharacteristic
95#16840089C2211yescharacteristic, complemented
96#16840085C2211yescharacteristic
97#16840084C2211yescharacteristic
98#16840079C2211yescharacteristic, complemented
99#16840077C2211yescharacteristic, complemented
100#16840072C2211yescharacteristic, complemented
101#16840070C2211yescharacteristic, complemented
102#16840068C2211yescharacteristic, complemented
103#16840068C2211yescharacteristic, complemented
104#16840064C2211yescharacteristic
105#16840064C2211yescharacteristic, complemented
106#16840063C2211yescharacteristic, complemented
107#16840060C2211yescharacteristic
108#16840055C2211yescharacteristic, complemented
109#16840046C2211yescharacteristic, complemented
110#16840018C2211yescharacteristic
111#16840014C2211yescharacteristic
112#16840007C2211yescharacteristic, complemented
113#16840006C2211yescharacteristic
114#16840002C2211yescharacteristic, complemented
115#16840001C2211yescharacteristic
116#16839997C2211yescharacteristic
117#16839995C2211yescharacteristic
118#16839992C2211yescharacteristic, complemented
119#16839992C2211yescharacteristic, complemented
120#16839989C2211yescharacteristic
121#16839988C2211yescharacteristic
122#16839987C2211yescharacteristic, complemented
123#16839983C2211yescharacteristic
124#16839983C2211yescharacteristic
125#16839982C2211yescharacteristic
126#16839979C2211yescharacteristic
127#16839975C2211yescharacteristic
128#16839973C2211yescharacteristic, complemented
129#16839968C2211yescharacteristic, complemented
130#16839961C2211yescharacteristic, complemented
131#16839955C2211yescharacteristic
132#16839926C2211yescharacteristic
133#16839926C2211yescharacteristic
134#16839925C2211yescharacteristic, complemented
135#16839921C2211yescharacteristic
136#16839919C2211yescharacteristic, complemented
137#16839908C2211yescharacteristic
138#16839908C2211yescharacteristic
139#16839904C2211yescharacteristic
140#16839904C2211yescharacteristic
141#16839899C2211yescharacteristic
142#16839891C2211yescharacteristic, complemented
143#16839886C2211yescharacteristic, complemented
144#16839872C2211yescharacteristic
145#16839872C2211yescharacteristic
146#16839870C2211yescharacteristic, complemented
147#16839867C2211yescharacteristic, complemented
148#16839866C2211yescharacteristic, complemented
149#16839864C2211yescharacteristic, complemented
150#16839862C2211yescharacteristic
151#16839862C2211yescharacteristic
152#16839862C2211yescharacteristic, complemented
153#16839859C2211yescharacteristic
154C4×Dic244C2211yescharacteristic, complemented
155#16839856C2211yescharacteristic, complemented
156#16839856C2211yescharacteristic, complemented
157C4×#11758202C2211yescharacteristic, complemented
158#16839853C2211yescharacteristic
159#16839853C2211yescharacteristic, complemented
160C4×#11758190C2211yescharacteristic, complemented
161SD16×Dic61C2211yescharacteristic
162C4×#11758200C2211yescharacteristic
163C4×#11758200C2211yescharacteristic
164C4×#11758200C2211yescharacteristic, complemented
165D8×Dic61C2211yescharacteristic
166C4×#11758199C2211yescharacteristic
167C4×#11758199C2211yescharacteristic
168#16839837C2211yescharacteristic
169#16839836C2211yescharacteristic
170#16839832C2211yescharacteristic, complemented
171#16839827C2211yescharacteristic, complemented
172#16839825C2211yescharacteristic
173#16839825C2211yescharacteristic
174#16839821C2211yescharacteristic, complemented
175#16839817C2211yescharacteristic, complemented
176#16839805C2211yescharacteristic
177#16839803C2211yescharacteristic, complemented
178#16839799C2211yescharacteristic, complemented
179#16839756C2211yescharacteristic
180#16839755C2211yescharacteristic
181#16839755C2211yescharacteristic
182#16839755C2211yescharacteristic, complemented
183#103×D61C2211yescharacteristic, complemented
184C2×#14519698C2211yescharacteristic
185#16839719C2211yescharacteristic, complemented
186#16839718C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#542C2211yescharacteristic
189C61×#518C2211yescharacteristic
190C61×#485C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#476C2211yescharacteristic
193C61×#474C2211yescharacteristic
194C61×#463C2211yescharacteristic
195C61×#463C2211yescharacteristic
196C61×#450C2211yescharacteristic
197C61×#447C2211yescharacteristic
198C61×#442C2211yescharacteristic
199C61×#440C2211yescharacteristic
200C4×SD16×C61C2211yescharacteristic
201C4×D8×C61C2211yescharacteristic
202C61×#433C2211yescharacteristic
203C2×#11758222C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208#14519806—24no—
209#14519803—24no—
210#14519796—24no—
211C2×Dic244C2311yescharacteristic
212C2×Dic244C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758200C2311yescharacteristic
218C2×#11758200C2311yescharacteristic
219C2×#11758200C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758199C2311yescharacteristic
222C2×#11758199C2311yescharacteristic
223C2×#11758194C2311yescharacteristic
224C2×#11758189C2311yescharacteristic
225C22×#92418C2311yescharacteristic
226C2×C8×D61C2311yescharacteristic
227C2×C8×D61C2311yescharacteristic
228C2×C8×D61C2311yescharacteristic
229#14519777C2311yescharacteristic
230#14519776C2311yescharacteristic
231#14519775—21no—
232#14519773—21no—
233#14519773C2311yescharacteristic
234#14519772—21no—
235#14519772—21no—
236#14519772D411yescharacteristic
237#14519771—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770D411yescharacteristic
249#14519769—21no—
250#14519769C2311yescharacteristic
251#14519768—21no—
252#14519768C2311yescharacteristic
253#14519768C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519767—21no—
259#14519767D411yescharacteristic
260#14519766—21no—
261#14519766—21no—
262#14519766C2311yescharacteristic
263#14519764C2311yescharacteristic
264#14519764C2311yescharacteristic
265#14519763—21no—
266#14519763—21no—
267#14519763—21no—
268#14519763—21no—
269#14519763—21no—
270#14519763D411yescharacteristic
271#14519762—21no—
272#14519762D411yescharacteristic
273#14519761—21no—
274#14519761—21no—
275#14519761—21no—
276#14519761—21no—
277#14519761—21no—
278#14519760—21no—
279#14519760—21no—
280#14519760—21no—
281#14519759—21no—
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759D411yescharacteristic
286#14519758—21no—
287#14519758—21no—
288#14519757C2311yescharacteristic
289#14519757C2311yescharacteristic
290#14519756—21no—
291#14519756—21no—
292#14519756—21no—
293#14519756C2311yescharacteristic
294#14519756C2311yescharacteristic
295#14519755—21no—
296#14519755D411yescharacteristic
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519753C2311yescharacteristic
301#14519752—21no—
302#14519752C2311yescharacteristic
303#14519752C2311yescharacteristic
304#14519751—21no—
305#14519751—21no—
306#14519750—21no—
307#14519750—21no—
308#14519750—21no—
309#14519750—21no—
310#14519750—21no—
311#14519750D411yescharacteristic
312#14519749—21no—
313#14519749—21no—
314#14519749—21no—
315#14519749—21no—
316#14519748C2311yescharacteristic
317#14519748C2311yescharacteristic
318#14519748C2311yescharacteristic
319#14519746—21no—
320#14519746—21no—
321Q8×Dic61—21no—
322Q8×Dic61C2311yescharacteristic
323C4×Dic122—21no—
324C4×Dic122—21no—
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330#14519742—21no—
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335C4×D244—21no—
336C4×D244C2311yescharacteristic
337C4×D244C2311yescharacteristic
338C4×D244C2311yescharacteristic
339D4×Dic61—21no—
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342D4×Dic61C2311yescharacteristic
343#14519739—21no—
344C4×C22⋊D61—21no—
345C4×C22⋊D61—21no—
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61C2311yescharacteristic
350C4×C22⋊D61C2311yescharacteristic
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519737—21no—
359#14519736—21no—
360#14519736—21no—
361#14519735—21no—
362#14519735—21no—
363#14519735—21no—
364#14519735C2311yescharacteristic
365#14519735C2311yescharacteristic
366#14519735C2311yescharacteristic
367#14519734—21no—
368#14519734—21no—
369#14519734—21no—
370#14519734C2311yescharacteristic
371#14519733—21no—
372#14519733—21no—
373#14519733—21no—
374#14519733—21no—
375C2×C4⋊Dic61—21no—
376C2×C4⋊Dic61C2311yescharacteristic
377C2×#11758196—21no—
378C2×#11758196—21no—
379C4⋊C4×D61—21no—
380C4⋊C4×D61C2311yescharacteristic
381C2×C22⋊Dic61—21no—
382C2×C22⋊Dic61—21no—
383C2×C4×Dic61—21no—
384C2×C4×Dic61—21no—
385C42×D61C2311yescharacteristic
386#14519711C2311yescharacteristic
387#14519711C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519688C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C22×D4×C61C2311yescharacteristic
439C2×SD16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×D8×C61C2311yescharacteristic
442C2×D8×C61C2311yescharacteristic
443C4⋊Q8×C61C2311yescharacteristic
444#126×C61—21no—
445#124×C61—21no—
446#124×C61C2311yescharacteristic
447#123×C61—21no—
448C22⋊Q8×C61—21no—
449C22⋊Q8×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451C4×Q8×C61C2311yescharacteristic
452C4×D4×C61—21no—
453C4×D4×C61—21no—
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460#117×C61C2311yescharacteristic
461C2×C22⋊C4×C61—21no—
462C2×C22⋊C4×C61—21no—
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477C22⋊C8×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479#97×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C24×C61—21no—
482C2×Q8×C61—21no—
483C2×Q8×C61C2411yescharacteristic
484C2×D4×C61—22no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—41no—
488C2×D4×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61C2411yescharacteristic
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61C2×D411yescharacteristic
507C2×C22⋊D61C2×D411yescharacteristic
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61—21no—
515Q8×D61—22no—
516Q8×D61—41no—
517#11758224—22no—
518#11758224—22no—
519#11758224—22no—
520#11758224—41no—
521#11758224—41no—
522#11758224—41no—
523#11758222—22no—
524#11758222—41no—
525C2×D244—21no—
526C2×D244—21no—
527C2×D244C2×D411yescharacteristic
528C2×D244C2411yescharacteristic
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61C2×D411yescharacteristic
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2411yescharacteristic
537C2×C4×D61C2411yescharacteristic
538C2×Dic122—21no—
539C2×Dic122—21no—
540C2×Dic122C2×D411yescharacteristic
541C2×Dic122C2411yescharacteristic
542C2×Dic122C2411yescharacteristic
543C2×Dic122C2411yescharacteristic
544SD16×C61—22no—
545SD16×C61—41no—
546D8×C61—22no—
547D8×C61—41no—
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61C2×D411yescharacteristic
556C4⋊C4×C61C2×D411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C22⋊C4×C61—21no—
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61C2×D411yescharacteristic
572C22⋊C4×C61C2×D411yescharacteristic
573C42×C61—21no—
574C42×C61—21no—
575C42×C61C2411yescharacteristic
576C42×C61C2411yescharacteristic
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61C2×D411yescharacteristic
590C22⋊Dic61C2×D411yescharacteristic
591#11758202—22no—
592#11758202—41no—
593#11758200—22no—
594#11758200—22no—
595#11758200—41no—
596#11758200#4114yes—
597#11758199—22no—
598#11758199—22no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198C2×D411yescharacteristic
612#11758198C2×D411yescharacteristic
613#11758198C2×D411yescharacteristic
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616#11758198C2×D411yescharacteristic
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61C2×D411yescharacteristic
627C4⋊Dic61C2×D411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629C4⋊Dic61C2411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653#11758196C2×D411yescharacteristic
654#11758196C2×D411yescharacteristic
655#11758196C2×D411yescharacteristic
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61C2×D411yescharacteristic
669C4×Dic61C2×D411yescharacteristic
670C4×Dic61C2411yescharacteristic
671C4×Dic61C2411yescharacteristic
672#11758194—22no—
673C2×#92418—41no—
674C2×#92418C2411yescharacteristic
675C2×#92418C2411yescharacteristic
676C2×#92418C2411yescharacteristic
677C2×#92418C2411yescharacteristic
678Dic244—22no—
679Dic244—22no—
680#11758190—41no—
681#11758190—41no—
682#11758189—22no—
683C8×D61—22no—
684C8×D61—41no—
685C8×D61—41no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61—21no—
689C23×C61—42no—
690C23×C61—81no—
691C23×C61—81no—
692C23×C61C22×D411yescharacteristic
693C22×D61—21no—
694C22×D61C22×D411yescharacteristic
695C22×D61C22×D411yescharacteristic
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—81no—
699D4×C61—21no—
700D4×C61—21no—
701D4×C61—21no—
702D4×C61—21no—
703D4×C61—21no—
704D4×C61—42no—
705D4×C61—81no—
706D4×C61C2×#4112yes—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—81no—
715C2×C4×C61—81no—
716C2×C4×C61—81no—
717C2×C4×C61—81no—
718C2×C4×C61—81no—
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C22×D411yescharacteristic
724C2×C4×C61C2511yescharacteristic
725C22⋊D61—41no—
726C22⋊D61—41no—
727C22⋊D61—42no—
728C22⋊D61—42no—
729C22⋊D61—42no—
730C22⋊D61—42no—
731C22⋊D61—81no—
732C22⋊D61—81no—
733C22⋊D61—81no—
734C22⋊D61—81no—
735C22⋊D61—81no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—42no—
744C2×Dic61—42no—
745C2×Dic61—42no—
746C2×Dic61—81no—
747C2×Dic61—81no—
748C2×Dic61—81no—
749C2×Dic61—81no—
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756D244—21no—
757D244—21no—
758D244—41no—
759D244—81no—
760D244—81no—
761C4×D61—21no—
762C4×D61—21no—
763C4×D61—21no—
764C4×D61—21no—
765C4×D61—41no—
766C4×D61—41no—
767C4×D61—42no—
768C4×D61—42no—
769C4×D61—81no—
770C4×D61—81no—
771C4×D61—81no—
772Dic122—21no—
773Dic122—21no—
774Dic122—21no—
775Dic122—21no—
776Dic122—21no—
777Dic122—41no—
778Dic122—42no—
779Dic122—81no—
780Dic122C2×#4112yes—
781C8×C61—21no—
782C8×C61—21no—
783C8×C61—21no—
784C8×C61—21no—
785#92418—21no—
786#92418—21no—
787#92418—21no—
788#92418C2×#4112yes—
789#61500—611nomaximal, Sylow
790C22×C61—21no—
791C22×C61—21no—
792C22×C61—22no—
793C22×C61—21no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—162no—
803C22×C61C23×D411yescharacteristic
804C2×D61—21no—
805C2×D61—21no—
806C2×D61—21no—
807C2×D61—21no—
808C2×D61—21no—
809C2×D61—21no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—41no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—21no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61—41no—
823C4×C61C22×#4111yescharacteristic
824C4×C61#58511yescharacteristic
825Dic61—21no—
826Dic61—21no—
827Dic61—21no—
828Dic61—21no—
829Dic61—22no—
830Dic61—21no—
831Dic61—21no—
832Dic61—41no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61—41no—
838#3524—611no—
839#3521—611no—
840#3401—611no—
841#3388—611no—
842#3364—611no—
843#3361—611no—
844#3351—611no—
845#3349—611no—
846#3347—611no—
847#3304—611no—
848#3303—611no—
849#3301—611no—
850#3300—611no—
851#3297—611no—
852#3296—611no—
853#3275—611no—
854#3269—611no—
855#3268—611no—
856#3179—611no—
857#3178—611no—
858#3168—611no—
859#3121—611no—
860#3120—611no—
861#3119—611no—
862#3118D6111yescharacteristic, complemented
863#3111—611no—
864#3111—611no—
865#2966—611no—
866#2947—611no—
867#2946—611no—
868C4×#135—611no—
869C2×C61—41no—
870C2×C61—42no—
871C2×C61—81no—
872C2×C61—81no—
873C2×C61D4×#4111yescharacteristic
874C2×C61#358411yescharacteristic
875C2×C61#358411yescharacteristic
876D61—41no—
877D61—41no—
878D61—81no—
879C2×#137—611no—
880C2×AGL(1,ℤ/8)—611no—
881C2×#135—611no—
882#559—611no—
883#559—1221no—
884#557—611no—
885#556—611no—
886#556—611no—
887#555—611no—
888#555—1221no—
889#554—611no—
890#553—611no—
891#553—611no—
892#553—1221no—
893#553—1221no—
894#552—611no—
895#552—611no—
896#552—1221no—
897#552—1221no—
898#551—1221no—
899#551—1221no—
900#550—611no—
901#548—611no—
902#548—611no—
903#547—611no—
904#546—611no—
905#546—611no—
906#542—611no—
907#542—1221no—
908#542C2×D6111yescharacteristic
909#541—611no—
910#540—611no—
911#540—1221no—
912#539—1221no—
913#538—1221no—
914#529—611no—
915#529—611no—
916#529—611no—
917#529—1221no—
918#529—1221no—
919#529—1221no—
920C2×#126—1221no—
921#520—611no—
922#520—611no—
923#519—611no—
924#518C2×D6111yescharacteristic
925C4×#41—611no—
926C4×#41—611no—
927#501—611no—
928#501—611no—
929#499—611no—
930#497—611no—
931#496—611no—
932#495—611no—
933#488—611no—
934#488—611no—
935#488—611no—
936#488—611no—
937#487—611no—
938#486—611no—
939#485—611no—
940#485—611no—
941#485—611no—
942#485C2×D6111yescharacteristic
943#484—611no—
944#483—611no—
945#482—611no—
946#482—611no—
947#482—611no—
948#482C2×D6111yescharacteristic
949#481—611no—
950#480—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#479—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#477—611no—
960#476C2×D6111yescharacteristic
961#475—611no—
962#474C2×D6111yescharacteristic
963#470—611no—
964#469—611no—
965#468—611no—
966#468—611no—
967#467—611no—
968#467—611no—
969#466—611no—
970#466—611no—
971#465—611no—
972#465—611no—
973#465—611no—
974#465—611no—
975#464—611no—
976#464—611no—
977#464—611no—
978#464—611no—
979#463—611no—
980#463—611no—
981#463C2×D6111yescharacteristic
982#463C2×D6111yescharacteristic
983#462—611no—
984#461—611no—
985#460—611no—
986#459—611no—
987#452—611no—
988#452—611no—
989#452—611no—
990#452—611no—
991#451—611no—
992#450C2×D6111yescharacteristic
993#449—611no—
994#449—611no—
995#449—611no—
996#449—611no—
997#448—611no—
998#447C2×D6111yescharacteristic
999#446—611no—
1000C8×Q8—611no—
1001#442—611no—
1002#442—611no—
1003#442C2×D6111yescharacteristic
1004#441—611no—
1005#441—611no—
1006#441—611no—
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440C2×D6111yescharacteristic
1013C4×Q16—611no—
1014C4×Q16—611no—
1015C4×Q16—611no—
1016C4×Q16—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16C2×D6111yescharacteristic
1025C4×D8—611no—
1026C4×D8—611no—
1027C4×D8—611no—
1028C4×D8C2×D6111yescharacteristic
1029#436—611no—
1030#435—611no—
1031#435—611no—
1032C8×D4—611no—
1033C8×D4—611no—
1034C8×D4—611no—
1035#433—611no—
1036#433C2×D6111yescharacteristic
1037#432—611no—
1038#428—611no—
1039#428—611no—
1040#427—611no—
1041#416—611no—
1042#416—611no—
1043#416—611no—
1044#416—611no—
1045C2×#103—611no—
1046C2×#102—611no—
1047#405—611no—
1048#405—611no—
1049C2×C4×C8—611no—
1050C61#6150011yescharacteristic, complemented, Sylow
1051C2×#41—611no—
1052C2×#41—611no—
1053C2×#41—611no—
1054C2×#41—611no—
1055C22×Q8—611no—
1056C22×D4C22×D6111yescharacteristic
1057#137—1224no—
1058AGL(1,ℤ/8)—1224no—
1059#135—1224no—
1060C2×Q16—611no—
1061C2×Q16—611no—
1062C2×Q16—611no—
1063C2×Q16—611no—
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16C22×D6111yescharacteristic
1071C2×SD16C22×D6111yescharacteristic
1072C2×D8—611no—
1073C2×D8—611no—
1074C2×D8C22×D6111yescharacteristic
1075C2×D8C22×D6111yescharacteristic
1076C2×M16—611no—
1077C2×M16—611no—
1078C22×C8—611no—
1079C22×C8—611no—
1080C22×C8—611no—
1081C22×C8—611no—
1082C4⋊Q8—611no—
1083C4⋊Q8—611no—
1084C4⋊Q8—1221no—
1085C4⋊Q8C22×D6111yescharacteristic
1086#127—611no—
1087#127—1221no—
1088#126—21no—
1089#126—611no—
1090#126—611no—
1091#126—1221no—
1092#126—1221no—
1093#126—1221no—
1094#126—1221no—
1095#126—1221no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#126—1221no—
1104#125—611no—
1105#125—611no—
1106#125—611no—
1107#125—611no—
1108#125—611no—
1109#125—1221no—
1110#125—1221no—
1111#125—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125—1221no—
1115#124—21no—
1116#124—611no—
1117#124—611no—
1118#124—611no—
1119#124—611no—
1120#124—1221no—
1121#124—1221no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124—1221no—
1126#124—1221no—
1127#124C22×D6111yescharacteristic
1128#123—21no—
1129#123—611no—
1130#123—611no—
1131#123—1221no—
1132#123—1221no—
1133#123—1221no—
1134#123—1221no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144#123—1221no—
1145#123—1221no—
1146C22⋊Q8—21no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—611no—
1151C22⋊Q8—611no—
1152C22⋊Q8—611no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8C22×D6111yescharacteristic
1161#121—611no—
1162#121—611no—
1163#121—611no—
1164#121—611no—
1165#121—611no—
1166#121—611no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#121—1221no—
1175#121—1221no—
1176#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121C22×D6111yescharacteristic
1180#120—1221no—
1181#120—1221no—
1182C4×Q8—611no—
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—611no—
1190C4×Q8—611no—
1191C4×Q8—611no—
1192C4×Q8—1221no—
1193C4×Q8—1221no—
1194C4×Q8—1221no—
1195C4×Q8—1221no—
1196C4×Q8C22×D6111yescharacteristic
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—1221no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4C22×D6111yescharacteristic
1224C4×D4C22×D6111yescharacteristic
1225C4×D4C22×D6111yescharacteristic
1226C4×D4C22×D6111yescharacteristic
1227C4×D4C22×D6111yescharacteristic
1228#117—611no—
1229#117—611no—
1230#117—611no—
1231#117—611no—
1232#117—1221no—
1233#117—1221no—
1234#117—1221no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117C22×D6111yescharacteristic
1245#117C22×D6111yescharacteristic
1246C2×C4⋊C4—611no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—1221no—
1249C2×C4⋊C4—1221no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4—1221no—
1252C2×C22⋊C4—21no—
1253C2×C22⋊C4—21no—
1254C2×C22⋊C4—1221no—
1255C2×C22⋊C4—1221no—
1256C2×C42—611no—
1257C2×C42—1221no—
1258C2×C42—1221no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107C22×D6111yescharacteristic
1266#107C22×D6111yescharacteristic
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106C22×D6111yescharacteristic
1274#106C22×D6111yescharacteristic
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—611no—
1279C4⋊C8C22×D6111yescharacteristic
1280C4⋊C8C22×D6111yescharacteristic
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103C22×D6111yescharacteristic
1296#103C22×D6111yescharacteristic
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102C22×D6111yescharacteristic
1308#102C22×D6111yescharacteristic
1309#102C22×D6111yescharacteristic
1310#102C22×D6111yescharacteristic
1311#102C22×D6111yescharacteristic
1312#102C22×D6111yescharacteristic
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8—611no—
1317C22⋊C8C22×D6111yescharacteristic
1318C22⋊C8C22×D6111yescharacteristic
1319#97—611no—
1320#97—611no—
1321#97—611no—
1322#97C22×D6111yescharacteristic
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8—611no—
1328C4×C8C22×D6111yescharacteristic
1329C24—21no—
1330#41—1222no—
1331#41—1222no—
1332#41—1222no—
1333#41—1222no—
1334#41—2441no—
1335#41—2441no—
1336#41—2441no—
1337#41—2441no—
1338C2×Q8—21no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—611no—
1342C2×Q8—611no—
1343C2×Q8—1221no—
1344C2×Q8—1221no—
1345C2×Q8—1222no—
1346C2×Q8—2441no—
1347C2×Q8C23×D6111yescharacteristic
1348C2×D4—22no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—41no—
1352C2×D4—611no—
1353C2×D4—611no—
1354C2×D4—611no—
1355C2×D4—611no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—1221no—
1360C2×D4—1221no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4C23×D6111yescharacteristic
1368C2×D4C23×D6111yescharacteristic
1369C2×D4C23×D6111yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—611no—
1376C22×C4—611no—
1377C22×C4—611no—
1378C22×C4—611no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4—1221no—
1391C22×C4C23×D6111yescharacteristic
1392Q16—1222no—
1393Q16—1222no—
1394Q16—1222no—
1395Q16—2441no—
1396SD16—22no—
1397SD16—41no—
1398SD16—614no—
1399SD16—1222no—
1400SD16—1222no—
1401SD16—2441no—
1402SD16—2441no—
1403SD16—2441no—
1404D8—22no—
1405D8—41no—
1406D8—1222no—
1407D8—1222no—
1408M16—1222no—
1409M16—1222no—
1410C2×C8—611no—
1411C2×C8—611no—
1412C2×C8—611no—
1413C2×C8—611no—
1414C2×C8—1222no—
1415C2×C8—2441no—
1416C2×C8—2441no—
1417C2×C8—2441no—
1418C2×C8C23×D6111yescharacteristic
1419C2×C8C23×D6111yescharacteristic
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—611no—
1426C4⋊C4—611no—
1427C4⋊C4—611no—
1428C4⋊C4—611no—
1429C4⋊C4—611no—
1430C4⋊C4—611no—
1431C4⋊C4—611no—
1432C4⋊C4—611no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4D4×D6111yescharacteristic
1465C4⋊C4D4×D6111yescharacteristic
1466C4⋊C4C23×D6111yescharacteristic
1467C4⋊C4C23×D6111yescharacteristic
1468C4⋊C4C23×D6111yescharacteristic
1469C4⋊C4C23×D6111yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—611no—
1481C22⋊C4—611no—
1482C22⋊C4—611no—
1483C22⋊C4—611no—
1484C22⋊C4—611no—
1485C22⋊C4—611no—
1486C22⋊C4—611no—
1487C22⋊C4—611no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4D4×D6111yescharacteristic
1513C22⋊C4D4×D6111yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—611no—
1517C42—611no—
1518C42—611no—
1519C42—611no—
1520C42—1221no—
1521C42—1221no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42C23×D6111yescharacteristic
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—42no—
1538C23—81no—
1539C23—81no—
1540C23—611no—
1541C23—611no—
1542C23—1221no—
1543C23C2×D4×D6111yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—81no—
1547Q8—612no—
1548Q8—1221no—
1549Q8—1221no—
1550Q8—1221no—
1551Q8—1221no—
1552Q8—1221no—
1553Q8—4881no—
1554Q8—2441no—
1555Q8—2442no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—42no—
1562D4—81no—
1563D4—1221no—
1564D4—1221no—
1565D4—4881no—
1566D4—4881no—
1567D4—4881no—
1568D4—4881no—
1569D4—4881no—
1570D4—4881no—
1571D4—4881no—
1572D4—2441no—
1573D4—2441no—
1574D4—2441no—
1575D4—2442no—
1576D4—2442no—
1577D4—2442no—
1578D4—2442no—
1579D4#41×D6112yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—611no—
1593C2×C4—611no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—611no—
1597C2×C4—611no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—4881no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—4881no—
1616C2×C4—2441no—
1617C2×C4—2441no—
1618C2×C4—2442no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4—2442no—
1622C2×C4—2442no—
1623C2×C4C2×D4×D6111yescharacteristic
1624C2×C4C2×D4×D6111yescharacteristic
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C24×D6111yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—612no—
1634C8—1221no—
1635C8—1221no—
1636C8—1221no—
1637C22—21no—
1638C22—22no—
1639C22—21no—
1640C22—21no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—162no—
1650C22—1221no—
1651C22—1221no—
1652C22—1221no—
1653C22—1221no—
1654C22—1221no—
1655C22—1221no—
1656C22—2441no—
1657C22—2441no—
1658C22—2441no—
1659C22C22×D4×D6111yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—1221no—
1671C4—1221no—
1672C4—1222no—
1673C4—1221no—
1674C4—1221no—
1675C4—1221no—
1676C4—1221no—
1677C4—2441no—
1678C4—2441no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4—2441no—
1683C4C2×#41×D6111yescharacteristic
1684C4#1684059811yescharacteristic
1685C2—41no—
1686C2—42no—
1687C2—81no—
1688C2—81no—
1689C2—4881no—
1690C2—2441no—
1691C2—2441no—
1692C2#2145930211yescharacteristic
1693C2#2146058711yescharacteristic
1694C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3118C2
socleC22×C61C23×D4
hypercenter#3118D61
hypocenterC61#61500
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #21459926C2semidirect
2. #21459875C2semidirect
3. #21458882C2semidirect
4. #21458757C2semidirect
5. #21458503C2semidirect
6. #21458474C2semidirect
7. #21458372C2semidirect
8. #21458352C2semidirect
9. #21458326C2semidirect
10. #21457756C2semidirect
11. #21457744C2semidirect
12. #21457728C2semidirect
13. #21457709C2semidirect
14. #21457673C2semidirect
15. #21457658C2semidirect
16. #21457454C2semidirect
17. #21457380C2semidirect
18. #21457357C2semidirect
19. #21456508C2semidirect
20. #21456481C2semidirect
21. #21456385C2semidirect
22. #21456044C2semidirect
23. #21456035C2semidirect
24. #21456014C2semidirect
25. #21455932C2semidirect
26. #21455924C2semidirect
27. #21454792C2semidirect
28. #21454659C2semidirect
29. #21454651C2semidirect
30. C4×#14519796C2semidirect
31. C61×#3118C2semidirect
36. #16840494C22semidirect
37. #16840487C22semidirect
40. #16840478C22semidirect
55. #16840420C22semidirect
63. #16840363C22semidirect
66. #16840299C22semidirect
75. #16840238C22semidirect
77. C4×#11758224C22semidirect
78. #16840169C22semidirect
79. #16840168C22semidirect
80. #16840162C22semidirect
81. #16840157C22semidirect
84. #16840118C22semidirect
85. #16840116C22semidirect
88. #16840114C22semidirect
89. #16840107C22semidirect
90. #16840106C22semidirect
91. #16840106C22semidirect
92. #16840102C22semidirect
95. #16840089C22semidirect
98. #16840079C22semidirect
99. #16840077C22semidirect
100. #16840072C22semidirect
101. #16840070C22semidirect
102. #16840068C22semidirect
103. #16840068C22semidirect
105. #16840064C22semidirect
106. #16840063C22semidirect
108. #16840055C22semidirect
109. #16840046C22semidirect
112. #16840007C22semidirect
114. #16840002C22semidirect
118. #16839992C22semidirect
119. #16839992C22semidirect
122. #16839987C22semidirect
128. #16839973C22semidirect
129. #16839968C22semidirect
130. #16839961C22semidirect
134. #16839925C22semidirect
136. #16839919C22semidirect
142. #16839891C22semidirect
143. #16839886C22semidirect
146. #16839870C22semidirect
147. #16839867C22semidirect
148. #16839866C22semidirect
149. #16839864C22semidirect
152. #16839862C22semidirect
154. C4×Dic244C22semidirect
155. #16839856C22semidirect
156. #16839856C22semidirect
157. C4×#11758202C22semidirect
159. #16839853C22semidirect
160. C4×#11758190C22semidirect
164. C4×#11758200C22semidirect
170. #16839832C22semidirect
171. #16839827C22semidirect
174. #16839821C22semidirect
175. #16839817C22semidirect
177. #16839803C22semidirect
178. #16839799C22semidirect
182. #16839755C22semidirect
183. #103×D61C22semidirect
185. #16839719C22semidirect
187. C4×C8×D61C22semidirect
862. #3118D61semidirect
1050. C61#61500semidirect

Maximal subgroups

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

subgroupindex
#214599262
#214598752
#214588822
#214587572
#214585032
#214584742
#214583722
#214583522
#214583262
#214577562
#214577442
#214577282
#214577092
#214576732
#214576582
#214574542
#214573802
#214573572
#214565082
#214564812
#214563852
#214560442
#214560352
#214560142
#214559322
#214559242
#214547922
#214546592
#214546512
C4×#145197962
C61×#31182
#6150061