Finite Group Databasebeta

← #30575506

Subgroups — #30575506

Order 15616.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460333C211yesmaximal, characteristic, complemented
2#21459827C211yesmaximal, characteristic, complemented
3#21458883C211yesmaximal, characteristic, complemented
4#21458880C211yesmaximal, characteristic, complemented
5#21458637C211yesmaximal, characteristic, complemented
6#21458634C211yesmaximal, characteristic, complemented
7#21458050C211yesmaximal, characteristic, complemented
8#21458043C211yesmaximal, characteristic, complemented
9#21457981C211yesmaximal, characteristic, complemented
10#21457968C211yesmaximal, characteristic, complemented
11#21457887C211yesmaximal, characteristic, complemented
12#21457880C211yesmaximal, characteristic, complemented
13#21457472C211yesmaximal, characteristic, complemented
14#21457469C211yesmaximal, characteristic, complemented
15#21457332C211yesmaximal, characteristic, complemented
16#21457329C211yesmaximal, characteristic, complemented
17#21457308C211yesmaximal, characteristic, complemented
18#21457277C211yesmaximal, characteristic, complemented
19#21457274C211yesmaximal, characteristic, complemented
20#21457201C211yesmaximal, characteristic, complemented
21#21456909C211yesmaximal, characteristic, complemented
22#21456908C211yesmaximal, characteristic, complemented
23#21456819C211yesmaximal, characteristic, complemented
24#21456046C211yesmaximal, characteristic, complemented
25#21456041C211yesmaximal, characteristic, complemented
26#21455963C211yesmaximal, characteristic, complemented
27#21455337C211yesmaximal, characteristic, complemented
28#21455335C211yesmaximal, characteristic, complemented
29#21455311C211yesmaximal, characteristic, complemented
30#21454990C211yesmaximal, characteristic, complemented
31C61×#3265C211yesmaximal, characteristic, complemented
32C2×#14519808C2211yescharacteristic, complemented
33C2×#14519807C2211yescharacteristic, complemented
34C2×#14519806C2211yescharacteristic, complemented
35C2×SD16×D61C2211yescharacteristic, complemented
36#16840507—21no—
37#16840505—21no—
38#16840498C2211yescharacteristic
39#16840495C2211yescharacteristic
40Q8×Dic122C2211yescharacteristic, complemented
41#16840483—21no—
42#16840483C2211yescharacteristic, complemented
43#16840482—21no—
44#16840482C2211yescharacteristic, complemented
45#16840481—21no—
46#16840481C2211yescharacteristic, complemented
47#16840476—21no—
48#16840476C2211yescharacteristic, complemented
49Q8×C22⋊D61C2211yescharacteristic, complemented
50#16840421C2211yescharacteristic
51#16840419C2211yescharacteristic, complemented
52#16840418C2211yescharacteristic
53#16840409C2211yescharacteristic
54#16840406—21no—
55#16840406C2211yescharacteristic
56#16840399—21no—
57D4×C22⋊D61C2211yescharacteristic
58#16840381—21no—
59#16840381C2211yescharacteristic, complemented
60#16840379—21no—
61#16840379C2211yescharacteristic
62#16840379C2211yescharacteristic, complemented
63#16840377C2211yescharacteristic
64#16840347—21no—
65#16840347—21no—
66#16840344—21no—
67#16840329C2211yescharacteristic
68#16840325C2211yescharacteristic
69#16840321—21no—
70#16840314—21no—
71#16840314C2211yescharacteristic, complemented
72#16840307C2211yescharacteristic
73#16840292—21no—
74#16840292C2211yescharacteristic
75C2×#14519764C2211yescharacteristic
76#16840240C2211yescharacteristic, complemented
77#16840238C2211yescharacteristic, complemented
78#41×Dic61C2211yescharacteristic, complemented
79#16840153C2211yescharacteristic, complemented
80#16840153C2211yescharacteristic, complemented
81#16840150C2211yescharacteristic
82#16840145C2211yescharacteristic, complemented
83#16840144C2211yescharacteristic, complemented
84#16840122C2211yescharacteristic, complemented
85#16840120C2211yescharacteristic, complemented
86#16840120C2211yescharacteristic, complemented
87#16840120C2211yescharacteristic, complemented
88#16840108C2211yescharacteristic
89#16840107C2211yescharacteristic
90#16840105C2211yescharacteristic, complemented
91#16840104C2211yescharacteristic, complemented
92#16840087C2211yescharacteristic, complemented
93#16840085C2211yescharacteristic
94#16840083C2211yescharacteristic
95#16840083C2211yescharacteristic, complemented
96#16840058C2211yescharacteristic, complemented
97#16840056C2211yescharacteristic, complemented
98#16840056C2211yescharacteristic, complemented
99#16840055C2211yescharacteristic, complemented
100#16840045C2211yescharacteristic, complemented
101#16840042C2211yescharacteristic, complemented
102#16840041C2211yescharacteristic, complemented
103#16840040C2211yescharacteristic, complemented
104#16840040C2211yescharacteristic, complemented
105#16840040C2211yescharacteristic, complemented
106#16840010C2211yescharacteristic, complemented
107#16840008C2211yescharacteristic, complemented
108#16840007C2211yescharacteristic, complemented
109#16840006C2211yescharacteristic
110#16840006C2211yescharacteristic, complemented
111#16840006C2211yescharacteristic, complemented
112#16840005C2211yescharacteristic
113#16840003C2211yescharacteristic, complemented
114#16840002C2211yescharacteristic, complemented
115#16839995C2211yescharacteristic
116#16839985C2211yescharacteristic, complemented
117#16839984C2211yescharacteristic, complemented
118#16839983C2211yescharacteristic, complemented
119#16839983C2211yescharacteristic, complemented
120#16839983C2211yescharacteristic, complemented
121#16839982C2211yescharacteristic, complemented
122#16839982C2211yescharacteristic, complemented
123#16839982C2211yescharacteristic, complemented
124#16839982C2211yescharacteristic, complemented
125#16839982C2211yescharacteristic, complemented
126#16839982C2211yescharacteristic, complemented
127#16839982C2211yescharacteristic, complemented
128#16839982C2211yescharacteristic, complemented
129#16839981C2211yescharacteristic, complemented
130#16839975C2211yescharacteristic, complemented
131#16839975C2211yescharacteristic, complemented
132#16839975C2211yescharacteristic, complemented
133#16839975C2211yescharacteristic, complemented
134#16839975C2211yescharacteristic, complemented
135#16839966C2211yescharacteristic, complemented
136#16839965C2211yescharacteristic, complemented
137#16839961C2211yescharacteristic, complemented
138#16839960C2211yescharacteristic
139#16839960C2211yescharacteristic
140#16839960C2211yescharacteristic, complemented
141#16839960C2211yescharacteristic, complemented
142#16839959C2211yescharacteristic
143#16839955C2211yescharacteristic, complemented
144#16839926C2211yescharacteristic, complemented
145#16839921C2211yescharacteristic, complemented
146#16839920C2211yescharacteristic, complemented
147#16839919C2211yescharacteristic, complemented
148#16839918C2211yescharacteristic, complemented
149#16839917C2211yescharacteristic, complemented
150#16839913C2211yescharacteristic
151#16839913C2211yescharacteristic, complemented
152#16839911C2211yescharacteristic, complemented
153#16839907C2211yescharacteristic, complemented
154#16839905C2211yescharacteristic, complemented
155#16839904C2211yescharacteristic, complemented
156#16839899C2211yescharacteristic
157#16839894C2211yescharacteristic, complemented
158#16839890C2211yescharacteristic, complemented
159#16839889C2211yescharacteristic, complemented
160#16839874C2211yescharacteristic, complemented
161#16839871C2211yescharacteristic, complemented
162#16839870C2211yescharacteristic, complemented
163#16839866C2211yescharacteristic, complemented
164#16839865C2211yescharacteristic, complemented
165#16839863C2211yescharacteristic, complemented
166#16839863C2211yescharacteristic, complemented
167C4×#11758202C2211yescharacteristic, complemented
168#16839854C2211yescharacteristic, complemented
169SD16×Dic61C2211yescharacteristic, complemented
170C4×#11758200C2211yescharacteristic, complemented
171#16839840C2211yescharacteristic, complemented
172#16839837C2211yescharacteristic, complemented
173#16839836C2211yescharacteristic, complemented
174#16839833C2211yescharacteristic, complemented
175#16839831C2211yescharacteristic, complemented
176#16839824C2211yescharacteristic, complemented
177#16839820C2211yescharacteristic, complemented
178#16839816C2211yescharacteristic, complemented
179#16839788C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839785C2211yescharacteristic, complemented
182#16839772C2211yescharacteristic, complemented
183#16839767C2211yescharacteristic
184#16839767C2211yescharacteristic, complemented
185#16839765C2211yescharacteristic, complemented
186#16839759C2211yescharacteristic, complemented
187#16839755C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C61C2211yescharacteristic
189C22×SD16×C61C2211yescharacteristic, complemented
190C61×#548C2211yescharacteristic, complemented
191D42×C61C2211yescharacteristic
192C61×#496C2211yescharacteristic
193C61×#468C2211yescharacteristic, complemented
194C61×#466C2211yescharacteristic
195C61×#463C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic
197C61×#450C2211yescharacteristic
198C61×#449C2211yescharacteristic, complemented
199C61×#448C2211yescharacteristic
200C61×#447C2211yescharacteristic, complemented
201C61×#440C2211yescharacteristic, complemented
202C61×#435C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758224—21no—
205C2×#11758224C2311yescharacteristic
206C22×Dic122C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C22×C22⋊D61—21no—
209C2×D4×D61C2311yescharacteristic
210#14519808—42no—
211#14519807—42no—
212#14519806—42no—
213C2×Dic244C2311yescharacteristic
214C2×Dic244C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758190C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227SD16×D61—42no—
228C2×#11758199C2311yescharacteristic
229C2×#11758194C2311yescharacteristic
230C2×#11758194C2311yescharacteristic
231C2×#11758189C2311yescharacteristic
232C2×C8×D61C2311yescharacteristic
233#14519777—21no—
234#14519777C2311yescharacteristic
235#14519776—21no—
236#14519776—21no—
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519775—21no—
241#14519775C2311yescharacteristic
242#14519773C2311yescharacteristic
243#14519773C2311yescharacteristic
244#14519772—21no—
245#14519772D411yescharacteristic
246#14519770—21no—
247#14519770—21no—
248#14519770—21no—
249#14519770—21no—
250#14519770—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770D411yescharacteristic
256#14519767—21no—
257#14519767D411yescharacteristic
258#14519765C2311yescharacteristic
259#14519764—21no—
260#14519764—21no—
261#14519764—21no—
262#14519764—21no—
263#14519764—21no—
264#14519764—21no—
265#14519764—21no—
266#14519764—21no—
267#14519764C2311yescharacteristic
268#14519764C2311yescharacteristic
269#14519764C2311yescharacteristic
270#14519764C2311yescharacteristic
271#14519764C2311yescharacteristic
272#14519764C2311yescharacteristic
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763D411yescharacteristic
282#14519761—21no—
283#14519761D411yescharacteristic
284#14519760—21no—
285#14519760—21no—
286#14519759—21no—
287#14519759—21no—
288#14519758—21no—
289#14519758—21no—
290#14519758—21no—
291#14519758—21no—
292#14519758—21no—
293#14519758D411yescharacteristic
294#14519757C2311yescharacteristic
295#14519756—21no—
296#14519756—21no—
297#14519756—21no—
298#14519756C2311yescharacteristic
299#14519756C2311yescharacteristic
300#14519756C2311yescharacteristic
301#14519755—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519754—21no—
307#14519754—21no—
308#14519754D411yescharacteristic
309#14519753—21no—
310#14519753C2311yescharacteristic
311#14519751C2311yescharacteristic
312#14519749—21no—
313#14519749—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519749—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749D411yescharacteristic
321#14519748—21no—
322#14519748—21no—
323#14519748—21no—
324#14519748—21no—
325#14519748C2311yescharacteristic
326#14519748C2311yescharacteristic
327#14519746—21no—
328#14519746—21no—
329#14519746—21no—
330#14519746—21no—
331#14519745—21no—
332#14519745—21no—
333#14519745—21no—
334#14519745—21no—
335Q8×Dic61—21no—
336Q8×Dic61—21no—
337Q8×Dic61C2311yescharacteristic
338Q8×Dic61C2311yescharacteristic
339Q8×Dic61C2311yescharacteristic
340Q8×Dic61C2311yescharacteristic
341Q8×Dic61C2311yescharacteristic
342C4×Dic122—21no—
343C4×Dic122—21no—
344C4×Dic122C2311yescharacteristic
345C4×Dic122C2311yescharacteristic
346C4×Dic122C2311yescharacteristic
347#14519742—21no—
348#14519742—21no—
349#14519742—21no—
350#14519742—21no—
351#14519742C2311yescharacteristic
352#14519742C2311yescharacteristic
353D4×Dic61—21no—
354D4×Dic61—21no—
355D4×Dic61—21no—
356D4×Dic61—21no—
357D4×Dic61C2311yescharacteristic
358D4×Dic61C2311yescharacteristic
359D4×Dic61C2311yescharacteristic
360D4×Dic61C2311yescharacteristic
361#14519739C2311yescharacteristic
362C4×C22⋊D61—21no—
363C4×C22⋊D61—21no—
364C4×C22⋊D61—21no—
365C4×C22⋊D61C2311yescharacteristic
366C4×C22⋊D61C2311yescharacteristic
367#14519737—21no—
368#14519737—21no—
369#14519736—21no—
370#14519736—21no—
371#14519736—21no—
372#14519736C2311yescharacteristic
373#14519736C2311yescharacteristic
374#14519736C2311yescharacteristic
375#14519735—21no—
376#14519735C2311yescharacteristic
377#14519734—21no—
378#14519734C2311yescharacteristic
379#14519733—21no—
380#14519733—21no—
381#14519733—21no—
382C2×C22⋊Dic61—21no—
383C2×C22⋊Dic61—21no—
384C2×C22⋊Dic61—21no—
385C22⋊C4×D61—21no—
386C2×C4×Dic61—21no—
387C2×C4×Dic61C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519711C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519710C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519708C2311yescharacteristic
395C4⋊#92418C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519706C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519697C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431C22⋊#92418C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519687C2311yescharacteristic
435#14519687C2311yescharacteristic
436#14519687C2311yescharacteristic
437C4×#92418C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C22×Q8×C61C2311yescharacteristic
441C22×D4×C61—21no—
442C22×D4×C61C2311yescharacteristic
443C22×D4×C61C2311yescharacteristic
444AGL(1,ℤ/8)×C61—42no—
445C2×SD16×C61—42no—
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×D8×C61C2311yescharacteristic
453C2×D8×C61C2311yescharacteristic
454C2×D8×C61C2311yescharacteristic
455C2×M16×C61C2311yescharacteristic
456C22×C8×C61C2311yescharacteristic
457#127×C61C2311yescharacteristic
458#124×C61—21no—
459#124×C61C2311yescharacteristic
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61C2311yescharacteristic
462#121×C61—21no—
463#121×C61—21no—
464#121×C61C2311yescharacteristic
465#121×C61C2311yescharacteristic
466#121×C61C2311yescharacteristic
467#120×C61—21no—
468#120×C61—21no—
469C4×Q8×C61C2311yescharacteristic
470C4×D4×C61—21no—
471C4×D4×C61C2311yescharacteristic
472C4×D4×C61C2311yescharacteristic
473#107×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×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—
485C24×C61—21no—
486C23×D61—21no—
487#41×C61—22no—
488#41×C61—41no—
489C2×Q8×C61—21no—
490C2×Q8×C61—22no—
491C2×Q8×C61—41no—
492C2×Q8×C61C2411yescharacteristic
493C2×Q8×C61C2411yescharacteristic
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—41no—
503C2×D4×C61—41no—
504C2×D4×C61—41no—
505C2×D4×C61—41no—
506C2×D4×C61—82no—
507C2×D4×C61C2×D411yescharacteristic
508C2×D4×C61C2411yescharacteristic
509C2×D4×C61C2411yescharacteristic
510C2×D4×C61C2411yescharacteristic
511C2×D4×C61C2411yescharacteristic
512C22×C4×C61—21no—
513C22×C4×C61—21no—
514C22×C4×C61—21no—
515C22×C4×C61C2411yescharacteristic
516C22×C4×C61C2411yescharacteristic
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—82no—
528C2×C22⋊D61C2×D411yescharacteristic
529C2×C22⋊D61C2×D411yescharacteristic
530C22×Dic61—21no—
531C22×Dic61—21no—
532C22×Dic61—21no—
533C22×Dic61—21no—
534C22×Dic61—21no—
535C22×Dic61—21no—
536C22×Dic61C2×D411yescharacteristic
537C22×Dic61C2×D411yescharacteristic
538Q8×D61—22no—
539Q8×D61—41no—
540#11758224—41no—
541#11758224—41no—
542#11758224—82no—
543D4×D61—41no—
544D4×D61—41no—
545#11758222—41no—
546#11758222—41no—
547C2×D244C2411yescharacteristic
548C2×C4×D61—21no—
549C2×C4×D61—21no—
550C2×C4×D61—21no—
551C2×C4×D61C2411yescharacteristic
552C2×Dic122—21no—
553C2×Dic122—21no—
554C2×Dic122—21no—
555C2×Dic122—21no—
556C2×Dic122—21no—
557C2×Dic122—21no—
558C2×Dic122—41no—
559C2×Dic122—41no—
560C2×Dic122C2×D411yescharacteristic
561C2×Dic122C2411yescharacteristic
562C2×Dic122C2411yescharacteristic
563C2×Dic122C2411yescharacteristic
564SD16×C61—22no—
565SD16×C61—22no—
566SD16×C61—22no—
567SD16×C61—41no—
568SD16×C61—41no—
569SD16×C61—41no—
570D8×C61—41no—
571D8×C61—41no—
572D8×C61—41no—
573M16×C61—41no—
574C2×C8×C61—41no—
575C2×C8×C61C2411yescharacteristic
576C2×C8×C61C2411yescharacteristic
577C2×C8×C61C2411yescharacteristic
578C2×C8×C61C2411yescharacteristic
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61C2×D411yescharacteristic
582C4⋊C4×C61C2411yescharacteristic
583C4⋊C4×C61C2411yescharacteristic
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61C2×D411yescharacteristic
592C22⋊C4×C61C2×D411yescharacteristic
593C42×C61—21no—
594C42×C61C2411yescharacteristic
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61—21no—
615C22⋊Dic61—21no—
616C22⋊Dic61—21no—
617C22⋊Dic61—21no—
618C22⋊Dic61C2×D411yescharacteristic
619C22⋊Dic61C2×D411yescharacteristic
620C22⋊Dic61C2×D411yescharacteristic
621C22⋊Dic61C2×D411yescharacteristic
622#11758202—22no—
623#11758202—22no—
624#11758202—41no—
625#11758202—41no—
626#11758201—22no—
627#11758201—41no—
628#11758200—41no—
629#11758200—41no—
630#11758200—41no—
631#11758200—41no—
632#11758200—41no—
633#11758199—41no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198C2×D411yescharacteristic
642#11758198C2×D411yescharacteristic
643#11758198C2×D411yescharacteristic
644#11758198C2×D411yescharacteristic
645C4⋊Dic61—21no—
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61C2×D411yescharacteristic
653C4⋊Dic61C2×D411yescharacteristic
654C4⋊Dic61C2×D411yescharacteristic
655C4⋊Dic61C2411yescharacteristic
656C4⋊Dic61C2411yescharacteristic
657C4⋊Dic61C2411yescharacteristic
658C4⋊Dic61C2411yescharacteristic
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61—21no—
688C4×Dic61—21no—
689C4×Dic61—21no—
690C4×Dic61C2×D411yescharacteristic
691C4×Dic61C2×D411yescharacteristic
692C4×Dic61C2411yescharacteristic
693C4×Dic61C2411yescharacteristic
694C4×Dic61C2411yescharacteristic
695#11758194—41no—
696#11758194—41no—
697C2×#92418C2411yescharacteristic
698C2×#92418C2411yescharacteristic
699C2×#92418C2411yescharacteristic
700C2×#92418C2411yescharacteristic
701Dic244—41no—
702Dic244—41no—
703#11758190—41no—
704#11758189—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61—21no—
710C23×C61—42no—
711C23×C61—81no—
712C23×C61—81no—
713C23×C61—81no—
714C23×C61—81no—
715C23×C61—81no—
716C23×C61C22×D411yescharacteristic
717C23×C61C22×D411yescharacteristic
718C22×D61—21no—
719C22×D61—81no—
720C22×D61—81no—
721C22×D61—81no—
722C22×D61C22×D411yescharacteristic
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—21no—
726Q8×C61—42no—
727Q8×C61H(5,𝔽2)12yes—
728D4×C61—21no—
729D4×C61—21no—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—21no—
733D4×C61—21no—
734D4×C61—21no—
735D4×C61—21no—
736D4×C61—41no—
737D4×C61—42no—
738D4×C61—42no—
739D4×C61—81no—
740D4×C61—81no—
741D4×C61—81no—
742D4×C61—81no—
743D4×C61—81no—
744D4×C61—81no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—42no—
754C2×C4×C61—42no—
755C2×C4×C61—81no—
756C2×C4×C61C22×D411yescharacteristic
757C2×C4×C61C22×D411yescharacteristic
758C2×C4×C61C22×D411yescharacteristic
759C2×C4×C61C22×D411yescharacteristic
760C2×C4×C61C2511yescharacteristic
761C22⋊D61—41no—
762C22⋊D61—41no—
763C22⋊D61—42no—
764C22⋊D61—81no—
765C22⋊D61—81no—
766C22⋊D61—81no—
767C22⋊D61—81no—
768C22⋊D61—81no—
769C22⋊D61—81no—
770C22⋊D61—81no—
771C22⋊D61—81no—
772C22⋊D61—81no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—41no—
781C2×Dic61—41no—
782C2×Dic61—42no—
783C2×Dic61—81no—
784C2×Dic61—81no—
785C2×Dic61—81no—
786C2×Dic61—81no—
787C2×Dic61—81no—
788C2×Dic61C22×D411yescharacteristic
789C2×Dic61C22×D411yescharacteristic
790C2×Dic61C22×D411yescharacteristic
791C2×Dic61C22×D411yescharacteristic
792C2×Dic61C22×D411yescharacteristic
793C2×Dic61C22×D411yescharacteristic
794C2×Dic61C22×D411yescharacteristic
795D244—21no—
796D244—21no—
797C4×D61—21no—
798C4×D61—21no—
799C4×D61—42no—
800C4×D61—81no—
801C4×D61—81no—
802Dic122—21no—
803Dic122—21no—
804Dic122—21no—
805Dic122—21no—
806Dic122—21no—
807Dic122—21no—
808Dic122—41no—
809Dic122—42no—
810Dic122—81no—
811Dic122—81no—
812Dic122—81no—
813Dic122—81no—
814Dic122—81no—
815C8×C61—21no—
816C8×C61—21no—
817C8×C61—21no—
818C8×C61—21no—
819#92418—21no—
820#92418—21no—
821#92418—21no—
822#92418—21no—
823#62092—611nomaximal, Sylow
824C22×C61—21no—
825C22×C61—21no—
826C22×C61—21no—
827C22×C61—21no—
828C22×C61—21no—
829C22×C61—21no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61—41no—
842C22×C61—162no—
843C22×C61—162no—
844C22×C61C23×D411yescharacteristic
845C2×D61—21no—
846C2×D61—21no—
847C2×D61—21no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—162no—
852C4×C61—21no—
853C4×C61—21no—
854C4×C61—22no—
855C4×C61—21no—
856C4×C61—21no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61C2×H(5,𝔽2)11yescharacteristic
861C4×C61#58511yescharacteristic
862Dic61—21no—
863Dic61—21no—
864Dic61—21no—
865Dic61—21no—
866Dic61—21no—
867Dic61—21no—
868Dic61—21no—
869Dic61—41no—
870Dic61—41no—
871Dic61—41no—
872Dic61—41no—
873Dic61—41no—
874Dic61—41no—
875Dic61—41no—
876#3558—611no—
877#3518—611no—
878#3401—611no—
879#3401—611no—
880#3375—611no—
881#3375—611no—
882#3324—611no—
883#3324—611no—
884#3319—611no—
885#3319—611no—
886#3313—611no—
887#3313—611no—
888#3277—611no—
889#3277—611no—
890#3266—611no—
891#3266—611no—
892#3265—611no—
893#3265D6111yescharacteristic, complemented
894#3262—611no—
895#3262—611no—
896#3254—611no—
897#3224—611no—
898#3224—611no—
899#3215—611no—
900#3121—611no—
901#3121—611no—
902#3115—611no—
903#3043—611no—
904#3043—611no—
905#3040—611no—
906#2995—611no—
907C2×C61—41no—
908C2×C61—41no—
909C2×C61—81no—
910C2×C61—81no—
911C2×C61—81no—
912C2×C61—81no—
913C2×C61#348811yescharacteristic
914C2×C61#358511yescharacteristic
915C2×C61#358611yescharacteristic
916D61—41no—
917D61—81no—
918C2×#137—611no—
919C2×#137—611no—
920C2×#137—611no—
921C2×AGL(1,ℤ/8)C2×D6111yescharacteristic
922C22×SD16—611no—
923C22×SD16C2×D6111yescharacteristic, complemented
924#562—1221no—
925H(3,𝔽4)—1221no—
926#559—611no—
927#559—611no—
928Q82—611no—
929#556—611no—
930#556—611no—
931#556—611no—
932#556—1221no—
933#556—1221no—
934#556—1221no—
935#555—611no—
936#555—1221no—
937D4×Q8—611no—
938#548—611no—
939#548—611no—
940#548—611no—
941#548C2×D6111yescharacteristic, complemented
942#546—611no—
943#546—611no—
944#546—1221no—
945#546—1221no—
946D42—611no—
947D42C2×D6111yescharacteristic
948#542—611no—
949#542—611no—
950#542—611no—
951#542—611no—
952#542—1221no—
953#542—1221no—
954#538—1221no—
955#538—1221no—
956#538—1221no—
957#535—611no—
958#535—611no—
959#534—1221no—
960#533—611no—
961#533—1221no—
962#532—611no—
963#529—611no—
964#529—1221no—
965C2×#124—611no—
966#519—611no—
967#519—611no—
968C4×#41—611no—
969#497—611no—
970#497—611no—
971#496—611no—
972#496C2×D6111yescharacteristic
973#495—611no—
974#495—611no—
975#489—611no—
976#489—611no—
977#489—611no—
978#489—611no—
979#486—611no—
980#486—611no—
981#485—611no—
982#485—611no—
983#482—611no—
984#482—611no—
985#482—611no—
986#482—611no—
987#477—611no—
988#477—611no—
989#477—611no—
990#477—611no—
991#475—611no—
992#474—611no—
993#474—611no—
994#474—611no—
995#474—611no—
996#474—611no—
997#468—611no—
998#468—611no—
999#468—611no—
1000#468—611no—
1001#468—611no—
1002#468—611no—
1003#468—611no—
1004#468C2×D6111yescharacteristic, complemented
1005#467—611no—
1006#467—611no—
1007#466—611no—
1008#466C2×D6111yescharacteristic
1009#464—611no—
1010#464—611no—
1011#464—611no—
1012#464—611no—
1013#464—611no—
1014#464—611no—
1015#464—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#464—611no—
1021#464—611no—
1022#464—611no—
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463C2×D6111yescharacteristic, complemented
1029#461—611no—
1030#461—611no—
1031#460—611no—
1032#460—611no—
1033#460—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460C2×D6111yescharacteristic
1038#459—611no—
1039#452—611no—
1040#452—611no—
1041#451—611no—
1042#451—611no—
1043#451—611no—
1044#451—611no—
1045#450—611no—
1046#450—611no—
1047#450—611no—
1048#450C2×D6111yescharacteristic
1049#449—611no—
1050#449—611no—
1051#449—611no—
1052#449C2×D6111yescharacteristic, complemented
1053#448—611no—
1054#448C2×D6111yescharacteristic
1055#447—611no—
1056#447C2×D6111yescharacteristic, complemented
1057#446—611no—
1058#446—611no—
1059#442—611no—
1060#442—611no—
1061#441—611no—
1062#441—611no—
1063#440—611no—
1064#440—611no—
1065#440—611no—
1066#440C2×D6111yescharacteristic, complemented
1067C4×Q16—611no—
1068C4×Q16—611no—
1069C4×SD16—611no—
1070C4×SD16—611no—
1071#436—611no—
1072#436—611no—
1073#435—611no—
1074#435—611no—
1075#435—611no—
1076#435C2×D6111yescharacteristic, complemented
1077#433—611no—
1078#433—611no—
1079#432—611no—
1080#424—611no—
1081#424—611no—
1082#423—611no—
1083#419—611no—
1084#418—611no—
1085#418—611no—
1086#418—611no—
1087#416—611no—
1088#416—611no—
1089C61#6209211yescharacteristic, complemented, Sylow
1090C2×#41—611no—
1091C2×#41—611no—
1092C2×#41—1221no—
1093C2×#41C22×D6111yescharacteristic
1094C22×Q8—611no—
1095C22×Q8—611no—
1096C22×Q8C22×D6111yescharacteristic
1097C22×D4—21no—
1098C22×D4—611no—
1099C22×D4—1221no—
1100C22×D4C22×D6111yescharacteristic
1101C22×D4C22×D6111yescharacteristic
1102#137—2442no—
1103#137—2442no—
1104#137—2442no—
1105AGL(1,ℤ/8)—42no—
1106C2×Q16—611no—
1107C2×Q16—611no—
1108C2×Q16—611no—
1109C2×Q16—611no—
1110C2×Q16—611no—
1111C2×Q16—611no—
1112C2×SD16—42no—
1113C2×SD16—611no—
1114C2×SD16—611no—
1115C2×SD16—611no—
1116C2×SD16—611no—
1117C2×SD16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—2442no—
1122C2×SD16C22×D6111yescharacteristic
1123C2×SD16C22×D6111yescharacteristic
1124C2×SD16C22×D6111yescharacteristic
1125C2×SD16C22×D6111yescharacteristic
1126C2×SD16C22×D6111yescharacteristic
1127C2×SD16C22×D6111yescharacteristic
1128C2×D8—611no—
1129C2×D8C22×D6111yescharacteristic
1130C2×D8C22×D6111yescharacteristic
1131C2×D8C22×D6111yescharacteristic
1132C2×M16—611no—
1133C2×M16—611no—
1134C2×M16—611no—
1135C2×M16C22×D6111yescharacteristic
1136C22×C8—611no—
1137C22×C8C22×D6111yescharacteristic
1138C4⋊Q8—611no—
1139C4⋊Q8—611no—
1140C4⋊Q8—611no—
1141C4⋊Q8—611no—
1142C4⋊Q8—611no—
1143C4⋊Q8—1221no—
1144C4⋊Q8—1221no—
1145C4⋊Q8—1221no—
1146C4⋊Q8—1221no—
1147#127—611no—
1148#127—611no—
1149#127C22×D6111yescharacteristic
1150#126—611no—
1151#126—611no—
1152#126—1221no—
1153#126—1221no—
1154#126—1221no—
1155#126—1221no—
1156#126—1221no—
1157#126—1221no—
1158#126—1221no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#125—611no—
1163#125—1221no—
1164#124—21no—
1165#124—611no—
1166#124—611no—
1167#124—611no—
1168#124—611no—
1169#124—611no—
1170#124—611no—
1171#124—611no—
1172#124—611no—
1173#124—1221no—
1174#124—1221no—
1175#124—1221no—
1176#124—1221no—
1177#124—1221no—
1178#124—1221no—
1179#124—1221no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124—1221no—
1189#124C22×D6111yescharacteristic
1190#123—611no—
1191#123—611no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202C22⋊Q8—21no—
1203C22⋊Q8—611no—
1204C22⋊Q8—611no—
1205C22⋊Q8—611no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218C22⋊Q8—1221no—
1219C22⋊Q8—1221no—
1220C22⋊Q8C22×D6111yescharacteristic
1221#121—21no—
1222#121—21no—
1223#121—611no—
1224#121—611no—
1225#121—611no—
1226#121—611no—
1227#121—1221no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121C22×D6111yescharacteristic
1240#121C22×D6111yescharacteristic
1241#121C22×D6111yescharacteristic
1242#120—21no—
1243#120—21no—
1244#120—1221no—
1245#120—1221no—
1246#120—1221no—
1247#120—1221no—
1248#120—1221no—
1249#120—1221no—
1250#120—1221no—
1251#120—1221no—
1252C4×Q8—611no—
1253C4×Q8—611no—
1254C4×Q8—611no—
1255C4×Q8—611no—
1256C4×Q8—611no—
1257C4×Q8—611no—
1258C4×Q8—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—611no—
1262C4×Q8—1221no—
1263C4×Q8—1221no—
1264C4×Q8—1221no—
1265C4×Q8—1221no—
1266C4×Q8—1221no—
1267C4×Q8—1221no—
1268C4×Q8—1221no—
1269C4×Q8—1221no—
1270C4×Q8C22×D6111yescharacteristic
1271C4×D4—21no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4C22×D6111yescharacteristic
1289C4×D4C22×D6111yescharacteristic
1290#117—611no—
1291#117—611no—
1292#117—611no—
1293#117—611no—
1294#117—611no—
1295#117—1221no—
1296#117—1221no—
1297#117—1221no—
1298#117—1221no—
1299#117—1221no—
1300#117—1221no—
1301#117—1221no—
1302#117—1221no—
1303C2×C22⋊C4—1221no—
1304C2×C22⋊C4—1221no—
1305C2×C22⋊C4—1221no—
1306C2×C22⋊C4—1221no—
1307C2×C42—611no—
1308C2×C42—1221no—
1309#107—611no—
1310#107—611no—
1311#107—611no—
1312#107—611no—
1313#107—611no—
1314#107C22×D6111yescharacteristic
1315#106—611no—
1316#106—611no—
1317C4⋊C8—611no—
1318C4⋊C8—611no—
1319C4⋊C8—611no—
1320C4⋊C8—611no—
1321C4⋊C8—611no—
1322C4⋊C8—611no—
1323C4⋊C8—611no—
1324C4⋊C8—611no—
1325C4⋊C8—611no—
1326C4⋊C8C22×D6111yescharacteristic
1327#103—611no—
1328#103—611no—
1329#103—611no—
1330#103—611no—
1331#103—611no—
1332#103—611no—
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103C22×D6111yescharacteristic
1340#103C22×D6111yescharacteristic
1341#102—611no—
1342#102—611no—
1343#102—611no—
1344#102—611no—
1345#102—611no—
1346#102—611no—
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102—611no—
1354#102—611no—
1355#102C22×D6111yescharacteristic
1356#102C22×D6111yescharacteristic
1357#102C22×D6111yescharacteristic
1358#102C22×D6111yescharacteristic
1359C22⋊C8—611no—
1360C22⋊C8—611no—
1361C22⋊C8—611no—
1362C22⋊C8—611no—
1363C22⋊C8C22×D6111yescharacteristic
1364C22⋊C8C22×D6111yescharacteristic
1365#97—611no—
1366#97—611no—
1367#97—611no—
1368#97C22×D6111yescharacteristic
1369C4×C8—611no—
1370C4×C8—611no—
1371C24—21no—
1372C24—21no—
1373C24—1221no—
1374#41—22no—
1375#41—41no—
1376#41—4882no—
1377#41—2441no—
1378#41—2441no—
1379#41—2441no—
1380#41—2441no—
1381C2×Q8—21no—
1382C2×Q8—22no—
1383C2×Q8—41no—
1384C2×Q8—611no—
1385C2×Q8—611no—
1386C2×Q8—611no—
1387C2×Q8—611no—
1388C2×Q8—1221no—
1389C2×Q8—1221no—
1390C2×Q8—1221no—
1391C2×Q8—1221no—
1392C2×Q8—1221no—
1393C2×Q8—1221no—
1394C2×Q8—1222no—
1395C2×Q8—2441no—
1396C2×Q8—2441no—
1397C2×Q8—2441no—
1398C2×Q8C23×D6111yescharacteristic
1399C2×Q8C23×D6111yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—82no—
1413C2×D4—611no—
1414C2×D4—611no—
1415C2×D4—611no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—1221no—
1426C2×D4—4882no—
1427C2×D4—2441no—
1428C2×D4—2441no—
1429C2×D4D4×D6111yescharacteristic
1430C2×D4C23×D6111yescharacteristic
1431C2×D4C23×D6111yescharacteristic
1432C2×D4C23×D6111yescharacteristic
1433C2×D4C23×D6111yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—611no—
1438C22×C4—611no—
1439C22×C4—611no—
1440C22×C4—1221no—
1441C22×C4—1221no—
1442C22×C4—1221no—
1443C22×C4—1221no—
1444C22×C4—1221no—
1445C22×C4—1221no—
1446C22×C4—1221no—
1447C22×C4—1221no—
1448C22×C4—1221no—
1449C22×C4C23×D6111yescharacteristic
1450C22×C4C23×D6111yescharacteristic
1451Q16—1222no—
1452Q16—1222no—
1453Q16—2441no—
1454Q16—2441no—
1455Q16—2441no—
1456Q16—2441no—
1457SD16—22no—
1458SD16—22no—
1459SD16—22no—
1460SD16—41no—
1461SD16—41no—
1462SD16—41no—
1463SD16—1222no—
1464SD16—2441no—
1465SD16—2441no—
1466SD16—2441no—
1467SD16—2441no—
1468SD16—2441no—
1469SD16—2441no—
1470SD16—2441no—
1471D8—41no—
1472D8—41no—
1473D8—41no—
1474D8—2441no—
1475M16—41no—
1476M16—2441no—
1477M16—2441no—
1478M16—2441no—
1479C2×C8—41no—
1480C2×C8—611no—
1481C2×C8—611no—
1482C2×C8—611no—
1483C2×C8—611no—
1484C2×C8—2441no—
1485C2×C8C23×D6111yescharacteristic
1486C2×C8C23×D6111yescharacteristic
1487C2×C8C23×D6111yescharacteristic
1488C2×C8C23×D6111yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—611no—
1492C4⋊C4—611no—
1493C4⋊C4—611no—
1494C4⋊C4—611no—
1495C4⋊C4—611no—
1496C4⋊C4—611no—
1497C4⋊C4—611no—
1498C4⋊C4—611no—
1499C4⋊C4—611no—
1500C4⋊C4—611no—
1501C4⋊C4—611no—
1502C4⋊C4—611no—
1503C4⋊C4—611no—
1504C4⋊C4—1221no—
1505C4⋊C4—1221no—
1506C4⋊C4—1221no—
1507C4⋊C4—1221no—
1508C4⋊C4—1221no—
1509C4⋊C4—1221no—
1510C4⋊C4—1221no—
1511C4⋊C4—1221no—
1512C4⋊C4—1221no—
1513C4⋊C4—1221no—
1514C4⋊C4—1221no—
1515C4⋊C4—1221no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4—1221no—
1524C4⋊C4D4×D6111yescharacteristic
1525C4⋊C4C23×D6111yescharacteristic
1526C4⋊C4C23×D6111yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—611no—
1535C22⋊C4—611no—
1536C22⋊C4—611no—
1537C22⋊C4—611no—
1538C22⋊C4—611no—
1539C22⋊C4—611no—
1540C22⋊C4—611no—
1541C22⋊C4—611no—
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⋊C4—1221no—
1552C22⋊C4—1221no—
1553C22⋊C4—1221no—
1554C22⋊C4—1221no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4D4×D6111yescharacteristic
1573C22⋊C4D4×D6111yescharacteristic
1574C42—21no—
1575C42—611no—
1576C42—611no—
1577C42—611no—
1578C42—611no—
1579C42—611no—
1580C42—1221no—
1581C42—1221no—
1582C42—1221no—
1583C42—1221no—
1584C42—1221no—
1585C42—1221no—
1586C42—1221no—
1587C42—1221no—
1588C42—1221no—
1589C42—1221no—
1590C42—1221no—
1591C42—1221no—
1592C42C23×D6111yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—42no—
1598C23—81no—
1599C23—81no—
1600C23—81no—
1601C23—81no—
1602C23—81no—
1603C23—611no—
1604C23—1221no—
1605C23—4881no—
1606C23—4881no—
1607C23—4881no—
1608C23C2×D4×D6111yescharacteristic
1609C23C2×D4×D6111yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—42no—
1614Q8—1221no—
1615Q8—1221no—
1616Q8—1221no—
1617Q8—1221no—
1618Q8—1221no—
1619Q8—1221no—
1620Q8—4881no—
1621Q8—4881no—
1622Q8—4881no—
1623Q8—4881no—
1624Q8—4881no—
1625Q8—2441no—
1626Q8—2442no—
1627Q8#1451982212yes—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—41no—
1637D4—42no—
1638D4—42no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—1221no—
1646D4—1221no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—4881no—
1654D4—4881no—
1655D4—4881no—
1656D4—2441no—
1657D4—2441no—
1658D4—2442no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—81no—
1670C2×C4—611no—
1671C2×C4—611no—
1672C2×C4—611no—
1673C2×C4—611no—
1674C2×C4—611no—
1675C2×C4—611no—
1676C2×C4—611no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—1221no—
1686C2×C4—4881no—
1687C2×C4—4881no—
1688C2×C4—4881no—
1689C2×C4—4881no—
1690C2×C4—4881no—
1691C2×C4—4881no—
1692C2×C4—4881no—
1693C2×C4—2442no—
1694C2×C4—2441no—
1695C2×C4—2441no—
1696C2×C4—2442no—
1697C2×C4C2×D4×D6111yescharacteristic
1698C2×C4C2×D4×D6111yescharacteristic
1699C2×C4C2×D4×D6111yescharacteristic
1700C2×C4C2×D4×D6111yescharacteristic
1701C2×C4C24×D6111yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1221no—
1707C8—1221no—
1708C8—1221no—
1709C8—1221no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—162no—
1729C22—162no—
1730C22—1221no—
1731C22—1221no—
1732C22—1221no—
1733C22—9762no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22C22×D4×D6111yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—22no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—1221no—
1747C4—1221no—
1748C4—1221no—
1749C4—1221no—
1750C4—1221no—
1751C4—1221no—
1752C4—1221no—
1753C4—2441no—
1754C4—2441no—
1755C4—2441no—
1756C4—2441no—
1757C4—2441no—
1758C4—2441no—
1759C4—2441no—
1760C4C2×#1451982211yescharacteristic
1761C4#1684059711yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2—4881no—
1769C2—2441no—
1770C2#2145947911yescharacteristic
1771C2#2146059511yescharacteristic
1772C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3265C2
socleC22×C61C23×D4
hypercenter#3265D61
hypocenterC61#62092
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #21460333C2semidirect
2. #21459827C2semidirect
3. #21458883C2semidirect
4. #21458880C2semidirect
5. #21458637C2semidirect
6. #21458634C2semidirect
7. #21458050C2semidirect
8. #21458043C2semidirect
9. #21457981C2semidirect
10. #21457968C2semidirect
11. #21457887C2semidirect
12. #21457880C2semidirect
13. #21457472C2semidirect
14. #21457469C2semidirect
15. #21457332C2semidirect
16. #21457329C2semidirect
17. #21457308C2semidirect
18. #21457277C2semidirect
19. #21457274C2semidirect
20. #21457201C2semidirect
21. #21456909C2semidirect
22. #21456908C2semidirect
23. #21456819C2semidirect
24. #21456046C2semidirect
25. #21456041C2semidirect
26. #21455963C2semidirect
27. #21455337C2semidirect
28. #21455335C2semidirect
29. #21455311C2semidirect
30. #21454990C2semidirect
31. C61×#3265C2semidirect
32. C2×#14519808C22semidirect
33. C2×#14519807C22semidirect
34. C2×#14519806C22semidirect
35. C2×SD16×D61C22semidirect
40. Q8×Dic122C22semidirect
42. #16840483C22semidirect
44. #16840482C22semidirect
46. #16840481C22semidirect
48. #16840476C22semidirect
49. Q8×C22⋊D61C22semidirect
51. #16840419C22semidirect
59. #16840381C22semidirect
62. #16840379C22semidirect
71. #16840314C22semidirect
76. #16840240C22semidirect
77. #16840238C22semidirect
78. #41×Dic61C22semidirect
79. #16840153C22semidirect
80. #16840153C22semidirect
82. #16840145C22semidirect
83. #16840144C22semidirect
84. #16840122C22semidirect
85. #16840120C22semidirect
86. #16840120C22semidirect
87. #16840120C22semidirect
90. #16840105C22semidirect
91. #16840104C22semidirect
92. #16840087C22semidirect
95. #16840083C22semidirect
96. #16840058C22semidirect
97. #16840056C22semidirect
98. #16840056C22semidirect
99. #16840055C22semidirect
100. #16840045C22semidirect
101. #16840042C22semidirect
102. #16840041C22semidirect
103. #16840040C22semidirect
104. #16840040C22semidirect
105. #16840040C22semidirect
106. #16840010C22semidirect
107. #16840008C22semidirect
108. #16840007C22semidirect
110. #16840006C22semidirect
111. #16840006C22semidirect
113. #16840003C22semidirect
114. #16840002C22semidirect
116. #16839985C22semidirect
117. #16839984C22semidirect
118. #16839983C22semidirect
119. #16839983C22semidirect
120. #16839983C22semidirect
121. #16839982C22semidirect
122. #16839982C22semidirect
123. #16839982C22semidirect
124. #16839982C22semidirect
125. #16839982C22semidirect
126. #16839982C22semidirect
127. #16839982C22semidirect
128. #16839982C22semidirect
129. #16839981C22semidirect
130. #16839975C22semidirect
131. #16839975C22semidirect
132. #16839975C22semidirect
133. #16839975C22semidirect
134. #16839975C22semidirect
135. #16839966C22semidirect
136. #16839965C22semidirect
137. #16839961C22semidirect
140. #16839960C22semidirect
141. #16839960C22semidirect
143. #16839955C22semidirect
144. #16839926C22semidirect
145. #16839921C22semidirect
146. #16839920C22semidirect
147. #16839919C22semidirect
148. #16839918C22semidirect
149. #16839917C22semidirect
151. #16839913C22semidirect
152. #16839911C22semidirect
153. #16839907C22semidirect
154. #16839905C22semidirect
155. #16839904C22semidirect
157. #16839894C22semidirect
158. #16839890C22semidirect
159. #16839889C22semidirect
160. #16839874C22semidirect
161. #16839871C22semidirect
162. #16839870C22semidirect
163. #16839866C22semidirect
164. #16839865C22semidirect
165. #16839863C22semidirect
166. #16839863C22semidirect
167. C4×#11758202C22semidirect
168. #16839854C22semidirect
169. SD16×Dic61C22semidirect
170. C4×#11758200C22semidirect
171. #16839840C22semidirect
172. #16839837C22semidirect
173. #16839836C22semidirect
174. #16839833C22semidirect
175. #16839831C22semidirect
176. #16839824C22semidirect
177. #16839820C22semidirect
178. #16839816C22semidirect
179. #16839788C22semidirect
180. #16839787C22semidirect
181. #16839785C22semidirect
182. #16839772C22semidirect
184. #16839767C22semidirect
185. #16839765C22semidirect
186. #16839759C22semidirect
187. #16839755C22semidirect
189. C22×SD16×C61C22semidirect
190. C61×#548C22semidirect
193. C61×#468C22semidirect
195. C61×#463C22semidirect
198. C61×#449C22semidirect
200. C61×#447C22semidirect
201. C61×#440C22semidirect
202. C61×#435C22semidirect
893. #3265D61semidirect
923. C22×SD16C2×D61semidirect
941. #548C2×D61semidirect
1004. #468C2×D61semidirect
1028. #463C2×D61semidirect
1052. #449C2×D61semidirect
1056. #447C2×D61semidirect
1066. #440C2×D61semidirect
1076. #435C2×D61semidirect
1089. C61#62092semidirect

Maximal subgroups

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

subgroupindex
#214603332
#214598272
#214588832
#214588802
#214586372
#214586342
#214580502
#214580432
#214579812
#214579682
#214578872
#214578802
#214574722
#214574692
#214573322
#214573292
#214573082
#214572772
#214572742
#214572012
#214569092
#214569082
#214568192
#214560462
#214560412
#214559632
#214553372
#214553352
#214553112
#214549902
C61×#32652
#6209261