Finite Group Databasebeta

← #30575494

Subgroups — #30575494

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#21460328C211yesmaximal, characteristic, complemented
2#21459831C211yesmaximal, characteristic, complemented
3#21458892C211yesmaximal, characteristic, complemented
4#21458884C211yesmaximal, characteristic, complemented
5#21458634C211yesmaximal, characteristic, complemented
6#21458628C211yesmaximal, characteristic, complemented
7#21458045C211yesmaximal, characteristic, complemented
8#21458043C211yesmaximal, characteristic, complemented
9#21457977C211yesmaximal, characteristic, complemented
10#21457975C211yesmaximal, characteristic, complemented
11#21457891C211yesmaximal, characteristic, complemented
12#21457889C211yesmaximal, characteristic, complemented
13#21457476C211yesmaximal, characteristic, complemented
14#21457470C211yesmaximal, characteristic, complemented
15#21457330C211yesmaximal, characteristic, complemented
16#21457314C211yesmaximal, characteristic, complemented
17#21457307C211yesmaximal, characteristic, complemented
18#21457281C211yesmaximal, characteristic, complemented
19#21457276C211yesmaximal, characteristic, complemented
20#21457203C211yesmaximal, characteristic, complemented
21#21456919C211yesmaximal, characteristic, complemented
22#21456917C211yesmaximal, characteristic, complemented
23#21456817C211yesmaximal, characteristic, complemented
24#21456049C211yesmaximal, characteristic, complemented
25#21456041C211yesmaximal, characteristic, complemented
26#21455968C211yesmaximal, characteristic, complemented
27#21455342C211yesmaximal, characteristic, complemented
28#21455337C211yesmaximal, characteristic, complemented
29#21455310C211yesmaximal, characteristic, complemented
30#21454985C211yesmaximal, characteristic, complemented
31C61×#3266C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic, complemented
33C2×#14519808C2211yescharacteristic, complemented
34C2×#14519804C2211yescharacteristic
35C22×#11758201C2211yescharacteristic, complemented
36#16840509—21no—
37#16840505—21no—
38#16840495C2211yescharacteristic
39#16840494C2211yescharacteristic
40Q8×Dic122C2211yescharacteristic, complemented
41#16840486—21no—
42#16840486C2211yescharacteristic, complemented
43#16840483—21no—
44#16840483—21no—
45#16840483C2211yescharacteristic, complemented
46#16840483C2211yescharacteristic, complemented
47#16840477—21no—
48#16840477C2211yescharacteristic, complemented
49#16840423C2211yescharacteristic, complemented
50#16840423C2211yescharacteristic, complemented
51#16840422C2211yescharacteristic
52#16840419C2211yescharacteristic
53#16840409—21no—
54#16840408C2211yescharacteristic
55#16840402—21no—
56#16840396C2211yescharacteristic
57D4×C22⋊D61C2211yescharacteristic
58#16840385—21no—
59#16840385—21no—
60#16840385C2211yescharacteristic
61#16840385C2211yescharacteristic, complemented
62#16840385C2211yescharacteristic, complemented
63#16840379C2211yescharacteristic
64#16840350—21no—
65#16840348—21no—
66#16840344—21no—
67#16840329C2211yescharacteristic
68#16840326C2211yescharacteristic
69#16840322—21no—
70#16840317—21no—
71#16840317C2211yescharacteristic, complemented
72#16840309C2211yescharacteristic
73#16840294—21no—
74#16840294C2211yescharacteristic
75#124×D61C2211yescharacteristic
76#16840240C2211yescharacteristic, complemented
77#16840240C2211yescharacteristic, complemented
78C4×#11758226C2211yescharacteristic, complemented
79#16840154C2211yescharacteristic, complemented
80#16840148C2211yescharacteristic
81#16840148C2211yescharacteristic
82#16840147C2211yescharacteristic, complemented
83#16840143C2211yescharacteristic, complemented
84#16840123C2211yescharacteristic, complemented
85#16840122C2211yescharacteristic, complemented
86#16840121C2211yescharacteristic, complemented
87#16840120C2211yescharacteristic, complemented
88#16840107C2211yescharacteristic
89#16840107C2211yescharacteristic
90#16840104C2211yescharacteristic, complemented
91#16840100C2211yescharacteristic, complemented
92#16840089C2211yescharacteristic, complemented
93#16840087C2211yescharacteristic
94#16840085C2211yescharacteristic, complemented
95#16840083C2211yescharacteristic
96#16840056C2211yescharacteristic, complemented
97#16840055C2211yescharacteristic, complemented
98#16840055C2211yescharacteristic, complemented
99#16840055C2211yescharacteristic, complemented
100#16840045C2211yescharacteristic, complemented
101#16840043C2211yescharacteristic, complemented
102#16840042C2211yescharacteristic, complemented
103#16840041C2211yescharacteristic, complemented
104#16840041C2211yescharacteristic, complemented
105#16840040C2211yescharacteristic, complemented
106#16840011C2211yescharacteristic, complemented
107#16840011C2211yescharacteristic, complemented
108#16840010C2211yescharacteristic
109#16840010C2211yescharacteristic, complemented
110#16840008C2211yescharacteristic, complemented
111#16840005C2211yescharacteristic, complemented
112#16840005C2211yescharacteristic, complemented
113#16840001C2211yescharacteristic, complemented
114#16839998C2211yescharacteristic
115#16839996C2211yescharacteristic
116#16839987C2211yescharacteristic, complemented
117#16839986C2211yescharacteristic, complemented
118#16839986C2211yescharacteristic, complemented
119#16839986C2211yescharacteristic, complemented
120#16839986C2211yescharacteristic, complemented
121#16839986C2211yescharacteristic, complemented
122#16839986C2211yescharacteristic, complemented
123#16839984C2211yescharacteristic, complemented
124#16839982C2211yescharacteristic, complemented
125#16839982C2211yescharacteristic, complemented
126#16839982C2211yescharacteristic, complemented
127#16839982C2211yescharacteristic, complemented
128#16839982C2211yescharacteristic, complemented
129#16839980C2211yescharacteristic, complemented
130#16839980C2211yescharacteristic, complemented
131#16839979C2211yescharacteristic, complemented
132#16839978C2211yescharacteristic, complemented
133#16839976C2211yescharacteristic, complemented
134#16839974C2211yescharacteristic, complemented
135#16839964C2211yescharacteristic, complemented
136#16839960C2211yescharacteristic
137#16839960C2211yescharacteristic
138#16839960C2211yescharacteristic
139#16839960C2211yescharacteristic
140#16839960C2211yescharacteristic, complemented
141#16839960C2211yescharacteristic, complemented
142#16839960C2211yescharacteristic, complemented
143#16839956C2211yescharacteristic, complemented
144#16839922C2211yescharacteristic, complemented
145#16839918C2211yescharacteristic, complemented
146#16839916C2211yescharacteristic, complemented
147#16839916C2211yescharacteristic, complemented
148#16839912C2211yescharacteristic, complemented
149#16839911C2211yescharacteristic
150#16839911C2211yescharacteristic
151#16839910C2211yescharacteristic, complemented
152#16839909C2211yescharacteristic, complemented
153#16839907C2211yescharacteristic, complemented
154#16839906C2211yescharacteristic, complemented
155#16839901C2211yescharacteristic
156#16839898C2211yescharacteristic, complemented
157#16839896C2211yescharacteristic, complemented
158#16839891C2211yescharacteristic, complemented
159#16839890C2211yescharacteristic, complemented
160#16839875C2211yescharacteristic, complemented
161#16839872C2211yescharacteristic, complemented
162#16839869C2211yescharacteristic, complemented
163#16839866C2211yescharacteristic, complemented
164#16839865C2211yescharacteristic, complemented
165#16839863C2211yescharacteristic, complemented
166#16839860C2211yescharacteristic, complemented
167Q16×Dic61C2211yescharacteristic, complemented
168#16839854C2211yescharacteristic, complemented
169SD16×Dic61C2211yescharacteristic, complemented
170#16839847C2211yescharacteristic, complemented
171#16839838C2211yescharacteristic, complemented
172#16839837C2211yescharacteristic, complemented
173#16839834C2211yescharacteristic, complemented
174#16839833C2211yescharacteristic, complemented
175#16839830C2211yescharacteristic, complemented
176#16839820C2211yescharacteristic, complemented
177#16839820C2211yescharacteristic, complemented
178#16839817C2211yescharacteristic, complemented
179#16839790C2211yescharacteristic, complemented
180#16839788C2211yescharacteristic, complemented
181#16839784C2211yescharacteristic, complemented
182#16839769C2211yescharacteristic, complemented
183#16839768C2211yescharacteristic, complemented
184#16839767C2211yescharacteristic, complemented
185#16839765C2211yescharacteristic
186#16839759C2211yescharacteristic, complemented
187#16839758C2211yescharacteristic, complemented
188C2×#137×C61C2211yescharacteristic, complemented
189C22×SD16×C61C2211yescharacteristic, complemented
190D4×Q8×C61C2211yescharacteristic, complemented
191C61×#546C2211yescharacteristic
192C61×#497C2211yescharacteristic, complemented
193C61×#468C2211yescharacteristic
194C61×#467C2211yescharacteristic, complemented
195C61×#464C2211yescharacteristic, complemented
196C61×#461C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic, complemented
198C61×#451C2211yescharacteristic, complemented
199C61×#450C2211yescharacteristic, complemented
200C61×#448C2211yescharacteristic
201C61×#440C2211yescharacteristic, complemented
202C61×#435C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C22×D244C2311yescharacteristic
208C22×C22⋊D61—21no—
209C2×D4×D61—21no—
210C2×D4×D61C2311yescharacteristic
211#14519809—42no—
212#14519808—42no—
213#14519804—42no—
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758201—42no—
219C2×#11758201C2311yescharacteristic
220C2×#11758201C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223C2×#11758201C2311yescharacteristic
224C2×#11758201C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×D488C2311yescharacteristic
227C2×D488C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230C2×#11758194C2311yescharacteristic
231C2×#11758189C2311yescharacteristic
232C2×#11758189C2311yescharacteristic
233C22×#92418C2311yescharacteristic
234#14519777—21no—
235#14519777C2311yescharacteristic
236#14519776—21no—
237#14519776—21no—
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519776C2311yescharacteristic
241#14519773C2311yescharacteristic
242#14519773C2311yescharacteristic
243#14519773C2311yescharacteristic
244#14519772—21no—
245#14519772—21no—
246#14519772—21no—
247#14519772—21no—
248#14519772—21no—
249#14519772—21no—
250#14519772—21no—
251#14519770—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770D411yescharacteristic
255#14519770D411yescharacteristic
256#14519768—21no—
257#14519768D411yescharacteristic
258#14519766—21no—
259#14519766—21no—
260#14519766C2311yescharacteristic
261#14519766C2311yescharacteristic
262#14519766C2311yescharacteristic
263#14519766C2311yescharacteristic
264#14519765C2311yescharacteristic
265#14519764—21no—
266#14519764—21no—
267#14519764D411yescharacteristic
268#14519764C2311yescharacteristic
269#14519764C2311yescharacteristic
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
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#14519763—21no—
282#14519763—21no—
283#14519762—21no—
284#14519761—21no—
285#14519760—21no—
286#14519759—21no—
287#14519759—21no—
288#14519759—21no—
289#14519759—21no—
290#14519759—21no—
291#14519759D411yescharacteristic
292#14519759D411yescharacteristic
293#14519758—21no—
294#14519757—21no—
295#14519757—21no—
296#14519757—21no—
297#14519757—21no—
298#14519757—21no—
299#14519757D411yescharacteristic
300#14519756—21no—
301#14519756C2311yescharacteristic
302#14519755—21no—
303#14519754—21no—
304#14519753—21no—
305#14519753—21no—
306#14519753C2311yescharacteristic
307#14519753C2311yescharacteristic
308#14519752C2311yescharacteristic
309#14519751—21no—
310#14519751—21no—
311#14519751—21no—
312#14519751—21no—
313#14519751C2311yescharacteristic
314#14519751C2311yescharacteristic
315#14519751C2311yescharacteristic
316#14519750—21no—
317#14519750—21no—
318#14519750—21no—
319#14519750—21no—
320#14519749—21no—
321#14519748—21no—
322#14519748—21no—
323#14519748—21no—
324#14519748—21no—
325#14519748D411yescharacteristic
326#14519748C2311yescharacteristic
327#14519747—21no—
328#14519746—21no—
329#14519746—21no—
330#14519746—21no—
331#14519745—21no—
332#14519745—21no—
333#14519745—21no—
334#14519745—21no—
335#14519745—21no—
336Q8×Dic61—21no—
337Q8×Dic61—21no—
338Q8×Dic61—21no—
339Q8×Dic61—21no—
340Q8×Dic61C2311yescharacteristic
341Q8×Dic61C2311yescharacteristic
342Q8×Dic61C2311yescharacteristic
343Q8×Dic61C2311yescharacteristic
344Q8×Dic61C2311yescharacteristic
345Q8×Dic61C2311yescharacteristic
346Q8×Dic61C2311yescharacteristic
347Q8×Dic61C2311yescharacteristic
348C4×Dic122—21no—
349C4×Dic122C2311yescharacteristic
350#14519742—21no—
351#14519742—21no—
352#14519742—21no—
353#14519742C2311yescharacteristic
354C4×D244—21no—
355C4×D244C2311yescharacteristic
356C4×D244C2311yescharacteristic
357D4×Dic61C2311yescharacteristic
358#14519739—21no—
359#14519739—21no—
360#14519739C2311yescharacteristic
361#14519739C2311yescharacteristic
362C4×C22⋊D61—21no—
363C4×C22⋊D61—21no—
364C4×C22⋊D61—21no—
365C4×C22⋊D61—21no—
366C4×C22⋊D61—21no—
367C4×C22⋊D61C2311yescharacteristic
368C4×C22⋊D61C2311yescharacteristic
369#14519737—21no—
370#14519736—21no—
371#14519736—21no—
372#14519736—21no—
373#14519736—21no—
374#14519736C2311yescharacteristic
375#14519736C2311yescharacteristic
376#14519736C2311yescharacteristic
377#14519736C2311yescharacteristic
378#14519735—21no—
379#14519735—21no—
380#14519735—21no—
381#14519735—21no—
382#14519735C2311yescharacteristic
383C22⋊C4×D61—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C42×D61—21no—
387C42×D61C2311yescharacteristic
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#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431C22⋊#92418C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519688C2311yescharacteristic
435#14519687C2311yescharacteristic
436#14519687C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C22×Q8×C61C2311yescharacteristic
441C22×Q8×C61C2311yescharacteristic
442C22×D4×C61C2311yescharacteristic
443#137×C61—42no—
444C2×Q16×C61C2311yescharacteristic
445C2×Q16×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×SD16×C61—42no—
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×SD16×C61C2311yescharacteristic
453C2×SD16×C61C2311yescharacteristic
454C2×M16×C61C2311yescharacteristic
455C22×C8×C61C2311yescharacteristic
456C4⋊Q8×C61—21no—
457C4⋊Q8×C61C2311yescharacteristic
458#124×C61C2311yescharacteristic
459#123×C61—21no—
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61—21no—
462C22⋊Q8×C61C2311yescharacteristic
463C22⋊Q8×C61C2311yescharacteristic
464C22⋊Q8×C61C2311yescharacteristic
465#121×C61—21no—
466#121×C61C2311yescharacteristic
467#120×C61—21no—
468C4×Q8×C61C2311yescharacteristic
469C4×D4×C61—21no—
470C4×D4×C61C2311yescharacteristic
471C4×D4×C61C2311yescharacteristic
472C2×C22⋊C4×C61—21no—
473#107×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482C22⋊C8×C61C2311yescharacteristic
483#97×C61C2311yescharacteristic
484C24×C61—21no—
485C23×D61—21no—
486C23×D61—21no—
487#41×C61—41no—
488#41×C61—41no—
489C2×Q8×C61—21no—
490C2×Q8×C61—21no—
491C2×Q8×C61—22no—
492C2×Q8×C61—22no—
493C2×Q8×C61—41no—
494C2×Q8×C61—41no—
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
497C2×Q8×C61C2411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—41no—
503C2×D4×C61—41no—
504C2×D4×C61C2×D411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61C2411yescharacteristic
512C22×C4×C61C2411yescharacteristic
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—82no—
526C2×C22⋊D61C2×D411yescharacteristic
527C2×C22⋊D61C2×D411yescharacteristic
528C22×Dic61—21no—
529#11758226—22no—
530#11758226—41no—
531Q8×D61—41no—
532Q8×D61—41no—
533D4×D61—41no—
534D4×D61—41no—
535D4×D61—82no—
536#11758222—41no—
537#11758222—41no—
538#11758222—82no—
539C2×D244—21no—
540C2×D244—21no—
541C2×D244—21no—
542C2×D244—41no—
543C2×D244—41no—
544C2×D244C2411yescharacteristic
545C2×D244C2411yescharacteristic
546C2×D244C2411yescharacteristic
547C2×C4×D61—21no—
548C2×C4×D61—21no—
549C2×C4×D61—21no—
550C2×C4×D61—21no—
551C2×C4×D61—21no—
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61C2×D411yescharacteristic
555C2×C4×D61C2×D411yescharacteristic
556C2×C4×D61C2411yescharacteristic
557C2×Dic122—21no—
558C2×Dic122—21no—
559C2×Dic122—21no—
560C2×Dic122—21no—
561C2×Dic122—21no—
562C2×Dic122C2×D411yescharacteristic
563C2×Dic122C2411yescharacteristic
564Q16×C61—22no—
565Q16×C61—41no—
566Q16×C61—41no—
567SD16×C61—22no—
568SD16×C61—22no—
569SD16×C61—41no—
570SD16×C61—41no—
571SD16×C61—41no—
572SD16×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×C61—21no—
582C4⋊C4×C61—21no—
583C4⋊C4×C61—21no—
584C4⋊C4×C61—21no—
585C4⋊C4×C61C2×D411yescharacteristic
586C4⋊C4×C61C2411yescharacteristic
587C4⋊C4×C61C2411yescharacteristic
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61—21no—
592C22⋊C4×C61—21no—
593C22⋊C4×C61—21no—
594C22⋊C4×C61—21no—
595C22⋊C4×C61C2×D411yescharacteristic
596C22⋊C4×C61C2×D411yescharacteristic
597C42×C61—21no—
598C42×C61C2411yescharacteristic
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⋊Dic61C2×D411yescharacteristic
609C22⋊Dic61C2×D411yescharacteristic
610C22⋊Dic61C2×D411yescharacteristic
611C22⋊Dic61C2×D411yescharacteristic
612C22⋊Dic61C2×D411yescharacteristic
613C22⋊Dic61C2×D411yescharacteristic
614#11758202—22no—
615#11758202—41no—
616#11758202—41no—
617#11758201—22no—
618#11758201—22no—
619#11758201—41no—
620#11758201—41no—
621#11758201—41no—
622#11758201—41no—
623#11758201—41no—
624#11758199—41no—
625#11758199—41no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198C2×D411yescharacteristic
648#11758198C2×D411yescharacteristic
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61—21no—
657C4⋊Dic61—21no—
658C4⋊Dic61C2×D411yescharacteristic
659C4⋊Dic61C2×D411yescharacteristic
660C4⋊Dic61C2×D411yescharacteristic
661C4⋊Dic61C2×D411yescharacteristic
662C4⋊Dic61C2×D411yescharacteristic
663C4⋊Dic61C2411yescharacteristic
664C4⋊Dic61C2411yescharacteristic
665C4⋊Dic61C2411yescharacteristic
666C4⋊Dic61C2411yescharacteristic
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
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—
696C2×#92418—41no—
697C2×#92418C2411yescharacteristic
698C2×#92418C2411yescharacteristic
699C2×#92418C2411yescharacteristic
700C2×#92418C2411yescharacteristic
701D488—41no—
702D488—41no—
703#11758190—41no—
704#11758189—41no—
705#11758189—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—81no—
709C23×C61—81no—
710C23×C61—81no—
711C23×C61C22×D411yescharacteristic
712C23×C61C22×D411yescharacteristic
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—42no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61—81no—
720C22×D61—81no—
721C22×D61—81no—
722C22×D61C22×D411yescharacteristic
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—21no—
726Q8×C61—21no—
727Q8×C61—21no—
728Q8×C61—21no—
729Q8×C61—21no—
730Q8×C61—42no—
731Q8×C61—42no—
732Q8×C61H(5,𝔽2)12yes—
733D4×C61—21no—
734D4×C61—21no—
735D4×C61—21no—
736D4×C61—21no—
737D4×C61—41no—
738D4×C61—81no—
739D4×C61—81no—
740D4×C61—81no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
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—42no—
752C2×C4×C61—42no—
753C2×C4×C61—81no—
754C2×C4×C61—81no—
755C2×C4×C61C22×D411yescharacteristic
756C2×C4×C61C22×D411yescharacteristic
757C2×C4×C61C22×D411yescharacteristic
758C2×C4×C61C22×D411yescharacteristic
759C2×C4×C61C2511yescharacteristic
760C22⋊D61—41no—
761C22⋊D61—41no—
762C22⋊D61—42no—
763C22⋊D61—81no—
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—
773C22⋊D61—81no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—81no—
780C2×Dic61C22×D411yescharacteristic
781C2×Dic61C22×D411yescharacteristic
782C2×Dic61C22×D411yescharacteristic
783C2×Dic61C22×D411yescharacteristic
784C2×Dic61C22×D411yescharacteristic
785C2×Dic61C22×D411yescharacteristic
786C2×Dic61C22×D411yescharacteristic
787D244—21no—
788D244—21no—
789D244—21no—
790D244—21no—
791D244—21no—
792D244—21no—
793D244—42no—
794D244—42no—
795D244—81no—
796C4×D61—21no—
797C4×D61—21no—
798C4×D61—41no—
799C4×D61—41no—
800C4×D61—42no—
801C4×D61—42no—
802C4×D61—81no—
803C4×D61—81no—
804C4×D61—81no—
805C4×D61—81no—
806C4×D61—81no—
807Dic122—21no—
808Dic122—21no—
809Dic122—41no—
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—162no—
837C22×C61C23×D411yescharacteristic
838C2×D61—21no—
839C2×D61—21no—
840C2×D61—21no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—162no—
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×C61—41no—
861C4×C61—41no—
862C4×C61C2×H(5,𝔽2)11yescharacteristic
863C4×C61#58511yescharacteristic
864Dic61—21no—
865Dic61—21no—
866Dic61—21no—
867Dic61—21no—
868Dic61—21no—
869Dic61—21no—
870Dic61—21no—
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#3266D6111yescharacteristic, complemented
892#3265—611no—
893#3265—611no—
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#348811yescharacteristic
912C2×C61#358511yescharacteristic
913C2×C61#358611yescharacteristic
914D61—41no—
915D61—81no—
916D61—81no—
917D61—81no—
918C2×#137—611no—
919C2×#137—611no—
920C2×#137C2×D6111yescharacteristic, complemented
921C2×AGL(1,ℤ/8)—611no—
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×Q8C2×D6111yescharacteristic, complemented
938#548—611no—
939#548—611no—
940#548—611no—
941#548—611no—
942#546—611no—
943#546—1221no—
944#546—1221no—
945#546C2×D6111yescharacteristic
946D42—611no—
947D42—611no—
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#497C2×D6111yescharacteristic, complemented
971#496—611no—
972#496—611no—
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
1005#467—611no—
1006#467C2×D6111yescharacteristic, complemented
1007#466—611no—
1008#466—611no—
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#464C2×D6111yescharacteristic, complemented
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463—611no—
1029#461—611no—
1030#461C2×D6111yescharacteristic, complemented
1031#460—611no—
1032#460—611no—
1033#460—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460—611no—
1038#459—611no—
1039#452—611no—
1040#452C2×D6111yescharacteristic, complemented
1041#451—611no—
1042#451—611no—
1043#451—611no—
1044#451C2×D6111yescharacteristic, complemented
1045#450—611no—
1046#450—611no—
1047#450—611no—
1048#450C2×D6111yescharacteristic, complemented
1049#449—611no—
1050#449—611no—
1051#449—611no—
1052#449—611no—
1053#448—611no—
1054#448C2×D6111yescharacteristic
1055#447—611no—
1056#447—611no—
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×Q8C22×D6111yescharacteristic
1096C22×Q8C22×D6111yescharacteristic
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—1221no—
1100C22×D4—1221no—
1101C22×D4C22×D6111yescharacteristic
1102#137—42no—
1103#137—2442no—
1104#137—2442no—
1105AGL(1,ℤ/8)—2442no—
1106C2×Q16—611no—
1107C2×Q16—611no—
1108C2×Q16—611no—
1109C2×Q16C22×D6111yescharacteristic
1110C2×Q16C22×D6111yescharacteristic
1111C2×Q16C22×D6111yescharacteristic
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×D8—611no—
1130C2×D8—611no—
1131C2×D8—611no—
1132C2×M16—611no—
1133C2×M16—611no—
1134C2×M16—611no—
1135C2×M16C22×D6111yescharacteristic
1136C22×C8—611no—
1137C22×C8C22×D6111yescharacteristic
1138C4⋊Q8—21no—
1139C4⋊Q8—611no—
1140C4⋊Q8—611no—
1141C4⋊Q8—611no—
1142C4⋊Q8—611no—
1143C4⋊Q8—1221no—
1144C4⋊Q8—1221no—
1145C4⋊Q8—1221no—
1146C4⋊Q8C22×D6111yescharacteristic
1147#127—611no—
1148#127—611no—
1149#127—611no—
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—611no—
1165#124—611no—
1166#124—611no—
1167#124—611no—
1168#124—611no—
1169#124—611no—
1170#124—611no—
1171#124—611no—
1172#124—1221no—
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—21no—
1191#123—611no—
1192#123—611no—
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—21no—
1204C22⋊Q8—611no—
1205C22⋊Q8—611no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—1221no—
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⋊Q8C22×D6111yescharacteristic
1219C22⋊Q8C22×D6111yescharacteristic
1220C22⋊Q8C22×D6111yescharacteristic
1221#121—21no—
1222#121—611no—
1223#121—611no—
1224#121—611no—
1225#121—611no—
1226#121—611no—
1227#121—611no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121C22×D6111yescharacteristic
1242#120—21no—
1243#120—1221no—
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—21no—
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#103C22×D6111yescharacteristic
1338#103C22×D6111yescharacteristic
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#102—611no—
1356#102—611no—
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—1221no—
1373C24—1221no—
1374#41—41no—
1375#41—41no—
1376#41—1222no—
1377#41—4882no—
1378#41—2441no—
1379#41—2441no—
1380#41—2441no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—22no—
1384C2×Q8—22no—
1385C2×Q8—41no—
1386C2×Q8—41no—
1387C2×Q8—611no—
1388C2×Q8—611no—
1389C2×Q8—1221no—
1390C2×Q8—1221no—
1391C2×Q8—1221no—
1392C2×Q8—1221no—
1393C2×Q8—1221no—
1394C2×Q8—2441no—
1395C2×Q8—2441no—
1396C2×Q8C23×D6111yescharacteristic
1397C2×Q8C23×D6111yescharacteristic
1398C2×Q8C23×D6111yescharacteristic
1399C2×Q8C23×D6111yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—611no—
1406C2×D4—611no—
1407C2×D4—611no—
1408C2×D4—611no—
1409C2×D4—611no—
1410C2×D4—1221no—
1411C2×D4—1221no—
1412C2×D4—1221no—
1413C2×D4—1221no—
1414C2×D4—1221no—
1415C2×D4—1221no—
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—4882no—
1426C2×D4—4882no—
1427C2×D4—2441no—
1428C2×D4—2441no—
1429C2×D4—2441no—
1430C2×D4—2441no—
1431C2×D4D4×D6111yescharacteristic
1432C2×D4C23×D6111yescharacteristic
1433C2×D4C23×D6111yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—611no—
1439C22×C4—611no—
1440C22×C4—611no—
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—22no—
1452Q16—41no—
1453Q16—41no—
1454Q16—1222no—
1455Q16—2441no—
1456Q16—2441no—
1457SD16—22no—
1458SD16—22no—
1459SD16—41no—
1460SD16—41no—
1461SD16—41no—
1462SD16—41no—
1463SD16—1222no—
1464SD16—1222no—
1465SD16—2441no—
1466SD16—2441no—
1467SD16—2441no—
1468SD16—2441no—
1469SD16—2441no—
1470SD16—2441no—
1471D8—2441no—
1472D8—2441no—
1473D8—2441no—
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—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
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—611no—
1505C4⋊C4—611no—
1506C4⋊C4—611no—
1507C4⋊C4—611no—
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—81no—
1596C23—81no—
1597C23—81no—
1598C23—611no—
1599C23—1221no—
1600C23—1221no—
1601C23—1221no—
1602C23—4881no—
1603C23—4881no—
1604C23—4881no—
1605C23—4881no—
1606C23—4881no—
1607C23—2442no—
1608C23C2×D4×D6111yescharacteristic
1609C23C2×D4×D6111yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—42no—
1618Q8—42no—
1619Q8—1221no—
1620Q8—1221no—
1621Q8—4881no—
1622Q8—4881no—
1623Q8—4881no—
1624Q8—4881no—
1625Q8—4881no—
1626Q8—2441no—
1627Q8#1451982212yes—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—41no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—1221no—
1637D4—1221no—
1638D4—1221no—
1639D4—1221no—
1640D4—1221no—
1641D4—1221no—
1642D4—4881no—
1643D4—4881no—
1644D4—4881no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—4881no—
1654D4—2442no—
1655D4—2442no—
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—21no—
1668C2×C4—21no—
1669C2×C4—42no—
1670C2×C4—42no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—611no—
1674C2×C4—611no—
1675C2×C4—611no—
1676C2×C4—611no—
1677C2×C4—611no—
1678C2×C4—611no—
1679C2×C4—611no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—4881no—
1688C2×C4—4881no—
1689C2×C4—4881no—
1690C2×C4—4881no—
1691C2×C4—4881no—
1692C2×C4—4881no—
1693C2×C4—2441no—
1694C2×C4—2441no—
1695C2×C4—2442no—
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—162no—
1723C22—1221no—
1724C22—1221no—
1725C22—1221no—
1726C22—9762no—
1727C22—9762no—
1728C22—2441no—
1729C22—2441no—
1730C22—2441no—
1731C22—2441no—
1732C22—2441no—
1733C22—2441no—
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—41no—
1747C4—41no—
1748C4—1221no—
1749C4—1221no—
1750C4—1221no—
1751C4—1221no—
1752C4—1221no—
1753C4—1221no—
1754C4—1221no—
1755C4—2441no—
1756C4—2441no—
1757C4—2441no—
1758C4—2441no—
1759C4—2441no—
1760C4C2×#1451982211yescharacteristic
1761C4#1684059711yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—4881no—
1767C2—4881no—
1768C2—4881no—
1769C2—2441no—
1770C2#2145947911yescharacteristic
1771C2#2146059711yescharacteristic
1772C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3266C2
socleC22×C61C23×D4
hypercenter#3266D61
hypocenterC61#62092
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #21460328C2semidirect
2. #21459831C2semidirect
3. #21458892C2semidirect
4. #21458884C2semidirect
5. #21458634C2semidirect
6. #21458628C2semidirect
7. #21458045C2semidirect
8. #21458043C2semidirect
9. #21457977C2semidirect
10. #21457975C2semidirect
11. #21457891C2semidirect
12. #21457889C2semidirect
13. #21457476C2semidirect
14. #21457470C2semidirect
15. #21457330C2semidirect
16. #21457314C2semidirect
17. #21457307C2semidirect
18. #21457281C2semidirect
19. #21457276C2semidirect
20. #21457203C2semidirect
21. #21456919C2semidirect
22. #21456917C2semidirect
23. #21456817C2semidirect
24. #21456049C2semidirect
25. #21456041C2semidirect
26. #21455968C2semidirect
27. #21455342C2semidirect
28. #21455337C2semidirect
29. #21455310C2semidirect
30. #21454985C2semidirect
31. C61×#3266C2semidirect
32. C2×#14519809C22semidirect
33. C2×#14519808C22semidirect
35. C22×#11758201C22semidirect
40. Q8×Dic122C22semidirect
42. #16840486C22semidirect
45. #16840483C22semidirect
46. #16840483C22semidirect
48. #16840477C22semidirect
49. #16840423C22semidirect
50. #16840423C22semidirect
61. #16840385C22semidirect
62. #16840385C22semidirect
71. #16840317C22semidirect
76. #16840240C22semidirect
77. #16840240C22semidirect
78. C4×#11758226C22semidirect
79. #16840154C22semidirect
82. #16840147C22semidirect
83. #16840143C22semidirect
84. #16840123C22semidirect
85. #16840122C22semidirect
86. #16840121C22semidirect
87. #16840120C22semidirect
90. #16840104C22semidirect
91. #16840100C22semidirect
92. #16840089C22semidirect
94. #16840085C22semidirect
96. #16840056C22semidirect
97. #16840055C22semidirect
98. #16840055C22semidirect
99. #16840055C22semidirect
100. #16840045C22semidirect
101. #16840043C22semidirect
102. #16840042C22semidirect
103. #16840041C22semidirect
104. #16840041C22semidirect
105. #16840040C22semidirect
106. #16840011C22semidirect
107. #16840011C22semidirect
109. #16840010C22semidirect
110. #16840008C22semidirect
111. #16840005C22semidirect
112. #16840005C22semidirect
113. #16840001C22semidirect
116. #16839987C22semidirect
117. #16839986C22semidirect
118. #16839986C22semidirect
119. #16839986C22semidirect
120. #16839986C22semidirect
121. #16839986C22semidirect
122. #16839986C22semidirect
123. #16839984C22semidirect
124. #16839982C22semidirect
125. #16839982C22semidirect
126. #16839982C22semidirect
127. #16839982C22semidirect
128. #16839982C22semidirect
129. #16839980C22semidirect
130. #16839980C22semidirect
131. #16839979C22semidirect
132. #16839978C22semidirect
133. #16839976C22semidirect
134. #16839974C22semidirect
135. #16839964C22semidirect
140. #16839960C22semidirect
141. #16839960C22semidirect
142. #16839960C22semidirect
143. #16839956C22semidirect
144. #16839922C22semidirect
145. #16839918C22semidirect
146. #16839916C22semidirect
147. #16839916C22semidirect
148. #16839912C22semidirect
151. #16839910C22semidirect
152. #16839909C22semidirect
153. #16839907C22semidirect
154. #16839906C22semidirect
156. #16839898C22semidirect
157. #16839896C22semidirect
158. #16839891C22semidirect
159. #16839890C22semidirect
160. #16839875C22semidirect
161. #16839872C22semidirect
162. #16839869C22semidirect
163. #16839866C22semidirect
164. #16839865C22semidirect
165. #16839863C22semidirect
166. #16839860C22semidirect
167. Q16×Dic61C22semidirect
168. #16839854C22semidirect
169. SD16×Dic61C22semidirect
170. #16839847C22semidirect
171. #16839838C22semidirect
172. #16839837C22semidirect
173. #16839834C22semidirect
174. #16839833C22semidirect
175. #16839830C22semidirect
176. #16839820C22semidirect
177. #16839820C22semidirect
178. #16839817C22semidirect
179. #16839790C22semidirect
180. #16839788C22semidirect
181. #16839784C22semidirect
182. #16839769C22semidirect
183. #16839768C22semidirect
184. #16839767C22semidirect
186. #16839759C22semidirect
187. #16839758C22semidirect
188. C2×#137×C61C22semidirect
189. C22×SD16×C61C22semidirect
190. D4×Q8×C61C22semidirect
192. C61×#497C22semidirect
194. C61×#467C22semidirect
195. C61×#464C22semidirect
196. C61×#461C22semidirect
197. C61×#452C22semidirect
198. C61×#451C22semidirect
199. C61×#450C22semidirect
201. C61×#440C22semidirect
202. C61×#435C22semidirect
891. #3266D61semidirect
920. C2×#137C2×D61semidirect
923. C22×SD16C2×D61semidirect
937. D4×Q8C2×D61semidirect
970. #497C2×D61semidirect
1006. #467C2×D61semidirect
1022. #464C2×D61semidirect
1030. #461C2×D61semidirect
1040. #452C2×D61semidirect
1044. #451C2×D61semidirect
1048. #450C2×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
#214603282
#214598312
#214588922
#214588842
#214586342
#214586282
#214580452
#214580432
#214579772
#214579752
#214578912
#214578892
#214574762
#214574702
#214573302
#214573142
#214573072
#214572812
#214572762
#214572032
#214569192
#214569172
#214568172
#214560492
#214560412
#214559682
#214553422
#214553372
#214553102
#214549852
C61×#32662
#6209261