Finite Group Databasebeta

← D61×#3500 #30588477

Subgroups — D61×#3500 #30588477

Order 15616.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×2−1+4×D61C211yesmaximal, characteristic, complemented
2C2×H(5,𝔽2)×D61C211yesmaximal, characteristic, complemented
3#21459613C211yesmaximal, characteristic, complemented
4#21459612C211yesmaximal, characteristic, complemented
5#21459611C213yesmaximal, complemented
6#21459610C214yesmaximal, complemented
7#21459609C213yesmaximal, complemented
8#21459608C213yesmaximal, complemented
9#21459607C211yesmaximal, characteristic, complemented
10#21459606C213yesmaximal, complemented
11#21459605C2112yesmaximal, complemented
12#548×D61C214yesmaximal, complemented
13#546×D61C2112yesmaximal, complemented
14#536×D61C213yesmaximal, complemented
15#535×D61C213yesmaximal, complemented
16#532×D61C213yesmaximal, complemented
17C2×#124×D61C213yesmaximal, complemented
18C4×#41×D61C211yesmaximal, characteristic, complemented
19C61×#3500C211yesmaximal, characteristic, complemented
20C2×#14519825C2213yescomplemented
21C2×#14519825C2212yescomplemented
22C2×#14519824C2216yescomplemented
23C2×#14519824C2213yescomplemented
24C2×#14519824C2211yescharacteristic, complemented
252−1+4×D61—216no—
26C2×#14519823C2213yescomplemented
27C2×#14519823C2212yescomplemented
28C2×#14519823C2211yescharacteristic, complemented
29C2×#14519822C2216yescomplemented
30C2×#14519822C2213yescomplemented
31H(5,𝔽2)×D61—216no—
32C2×#41×D61C2212yes—
33C2×#41×D61C2213yes—
34C2×#41×D61C2211yescharacteristic
35C2×#41×D61C2216yescomplemented
36C2×#41×D61C2213yescomplemented
37C22×Q8×D61C2212yescomplemented
38C22×Q8×D61C2213yescomplemented
39C22×D4×D61C2216yes—
40C22×D4×D61C2213yes—
41#16840424C2214yescomplemented
42#16840423C2214yescomplemented
43#16840422C22112yescomplemented
44#16840421C22112yescomplemented
45#16840420C22112yescomplemented
46#16840419C2214yescomplemented
47#16840418C22112yescomplemented
48#16840409C22112yescomplemented
49#16840408C22112yescomplemented
50#16840407C22112yescomplemented
51#16840406C22112yescomplemented
52#16840405C22112yescomplemented
53#16840404C22124yescomplemented
54#16840403C22112yescomplemented
55#16840402C22124yescomplemented
56#16840401C22124yescomplemented
57#16840400C22112yescomplemented
58#16840399C22124yescomplemented
59#16840338C2213yescomplemented
60#16840337C2216yescomplemented
61#16840336C2213yescomplemented
62#16840335C22112yescomplemented
63#16840334C22112yescomplemented
64#16840333C2213yescomplemented
65#16840332C2216yescomplemented
66#16840331C2213yescomplemented
67#16840330C2216yescomplemented
68#16840329C2213yescomplemented
69#16840328C22112yescomplemented
70#16840327C22112yescomplemented
71#16840326C2213yescomplemented
72#16840325C2216yescomplemented
73#16840313C2213yescomplemented
74#16840312C2213yescomplemented
75#16840311C2213yescomplemented
76#16840311C2213yescomplemented
77#16840310C2213yescomplemented
78#16840309C22112yescomplemented
79#16840308C2213yescomplemented
80#16840308C2213yescomplemented
81#16840307C22112yescomplemented
82C4⋊Q8×D61C2213yescomplemented
83#127×D61C2213yescomplemented
84C2×#14519766C2213yescomplemented
85C2×#14519765C2213yescomplemented
86C2×#14519764C2213yescomplemented
87C2×#14519763C22112yescomplemented
88#124×D61C22112yescomplemented
89#124×D61C2213yescomplemented
90#124×D61C2216yescomplemented
91#124×D61C2211yescharacteristic, complemented
92#124×D61C22112yescomplemented
93#124×D61C2216yescomplemented
94#124×D61C2216yescomplemented
95#123×D61C22112yescomplemented
96C22⋊Q8×D61C22112yescomplemented
97#121×D61C22112yescomplemented
98#121×D61C22112yescomplemented
99#120×D61C22112yescomplemented
100#41×Dic61C2211yescharacteristic, complemented
101C4×#11758226C2212yescomplemented
102C4×#11758222C2213yescomplemented
103#16840230C2213yescomplemented
104C4×#11758224C2216yescomplemented
105C4×Q8×D61C2212yescomplemented
106C4×D4×D61C2216yescomplemented
107C4×D4×D61C22112yescomplemented
108#117×D61C2213yescomplemented
109C2×C22⋊C4×D61C22112yescomplemented
110C2×C42×D61C2213yescomplemented
111C2×2−1+4×C61C2211yescharacteristic, complemented
112C2×H(5,𝔽2)×C61C2211yescharacteristic, complemented
113C61×#548C2214yescomplemented
114C61×#546C22112yescomplemented
115C61×#536C2213yescomplemented
116C61×#535C2213yescomplemented
117C61×#532C2213yescomplemented
118C2×#124×C61C2213yescomplemented
119C4×#41×C61C2211yescharacteristic, complemented
120C24×D61C2316yes—
121#14519825—216no—
122#14519825—224no—
123#14519824—28no—
124#14519824—248no—
125#14519824—224no—
126#14519823—28no—
127#14519823—216no—
128#14519823—224no—
129#14519822—248no—
130#14519822—224no—
131C2×#11758226C2313yes—
132C2×#11758226C2312yes—
133C2×#11758226C2311yescharacteristic
134C2×#11758226C2313yescomplemented
135C2×#11758226C2316yescomplemented
136C2×#11758222C2313yes—
137C2×#11758222C2316yes—
138C2×#11758222C2316yes—
139C2×#11758222C2313yes—
140C2×#11758222C2313yescomplemented
141C2×#11758222C2316yescomplemented
142C2×#11758222C23112yescomplemented
143C2×#11758222C2316yescomplemented
144C2×#11758224C2316yes—
145C2×#11758224C2313yes—
146C2×#11758224C2316yes—
147C2×#11758224C2313yes—
148C2×#11758224C2316yescomplemented
149C2×#11758224C2313yescomplemented
150C2×#11758224C23112yescomplemented
151C2×#11758224C2316yescomplemented
152#41×D61—216no—
153#41×D61—248no—
154#41×D61—224no—
155#41×D61—224no—
156#41×D61D4116yescomplemented
157C22×Dic122C2316yescomplemented
158C22×Dic122C2313yescomplemented
159C22×Dic122C2316yescomplemented
160C2×Q8×D61—216no—
161C2×Q8×D61—224no—
162C2×Q8×D61C2316yes—
163C2×Q8×D61C2313yes—
164C2×Q8×D61C2311yescharacteristic
165C2×Q8×D61C2311yescharacteristic
166C2×Q8×D61C2316yescomplemented
167C2×Q8×D61C2316yescomplemented
168C2×Q8×D61C2312yescomplemented
169C2×Q8×D61C2316yescomplemented
170C22×D244C2313yes—
171C22×D244C2316yes—
172C22×C22⋊D61C2316yes—
173C22×C22⋊D61C23112yes—
174C2×D4×D61—248no—
175C2×D4×D61—224no—
176C2×D4×D61C2316yes—
177C2×D4×D61C2316yes—
178C2×D4×D61C2316yes—
179C2×D4×D61C2313yes—
180C2×D4×D61C2316yes—
181C2×D4×D61C2316yes—
182C2×D4×D61C2311yescharacteristic
183C2×D4×D61C2316yes—
184C2×D4×D61C23112yes—
185C2×D4×D61C2316yes—
186C2×D4×D61C23112yes—
187C2×D4×D61C2313yes—
188C22×C4×D61C2316yes—
189C22×C4×D61C2316yes—
190C22×C4×D61C2316yes—
191C22×C4×D61C2316yes—
192C22×C4×D61C2313yes—
193#14519777C2313yescomplemented
194#14519776C23112yescomplemented
195#14519775C2313yescomplemented
196#14519775C2313yescomplemented
197#14519774C2313yescomplemented
198#14519773C23112yescomplemented
199#14519773C2313yescomplemented
200#14519773C2313yescomplemented
201#14519766C2313yescomplemented
202#14519766C2316yescomplemented
203#14519766C23112yescomplemented
204#14519766C2311yescharacteristic, complemented
205#14519765C2313yescomplemented
206#14519765C2316yescomplemented
207#14519765C23112yescomplemented
208#14519765C2311yescharacteristic, complemented
209#14519764C2313yescomplemented
210#14519764C2316yescomplemented
211#14519764C23112yescomplemented
212#14519764C2311yescharacteristic, complemented
213#14519763C23112yescomplemented
214#14519763C23124yescomplemented
215#14519763C23124yescomplemented
216#14519763C23124yescomplemented
217#14519763C2314yescomplemented
218#14519762C23124yescomplemented
219#14519761C23112yescomplemented
220#14519760C23112yescomplemented
221#14519759C23124yescomplemented
222#14519758C23112yescomplemented
223#14519757C23112yescomplemented
224#14519756C23112yescomplemented
225#14519755C23124yescomplemented
226#14519754C23124yescomplemented
227#14519753C23112yescomplemented
228#14519752C23112yescomplemented
229#14519752C23112yescomplemented
230#14519751C23112yescomplemented
231#14519751C23112yescomplemented
232#14519750C23112yescomplemented
233#14519750C23112yescomplemented
234#14519750C23124yescomplemented
235#14519749C23112yescomplemented
236#14519749C23112yescomplemented
237#14519749C23124yescomplemented
238#14519748C23112yescomplemented
239#14519748C23112yescomplemented
240#14519747C23112yescomplemented
241#14519747C23124yescomplemented
242#14519746C23112yescomplemented
243#14519745C23124yescomplemented
244#14519745C23112yescomplemented
245Q8×Dic61C2312yescomplemented
246C4×Dic122C2316yescomplemented
247#14519742C2316yescomplemented
248C4×D244C2316yescomplemented
249C4×D244C23112yescomplemented
250D4×Dic61C2316yescomplemented
251D4×Dic61C23112yescomplemented
252#14519739C2316yescomplemented
253#14519739C23112yescomplemented
254C4×C22⋊D61C23112yescomplemented
255C4×C22⋊D61C23112yescomplemented
256C4×C22⋊D61C23112yescomplemented
257#14519737C23112yescomplemented
258#14519737C23112yescomplemented
259#14519737C23112yescomplemented
260#14519736C2313yescomplemented
261#14519735C2316yescomplemented
262#14519734C2316yescomplemented
263#14519733C2316yescomplemented
264C4⋊C4×D61C2316yes—
265C4⋊C4×D61C23112yes—
266C2×C22⋊Dic61C23112yescomplemented
267C2×#11758198C23112yescomplemented
268C2×#11758198C23112yescomplemented
269C22⋊C4×D61C23112yes—
270C22⋊C4×D61C23124yes—
271C22⋊C4×D61C2316yes—
272C22⋊C4×D61C2314yes—
273C22⋊C4×D61C23124yescomplemented
274C22⋊C4×D61C23124yescomplemented
275C2×C4×Dic61C2316yescomplemented
276C2×C4×Dic61C2313yescomplemented
277C42×D61C2311yescharacteristic
278C42×D61C2313yes—
279C42×D61C2316yes—
280C42×D61C2316yescomplemented
281C42×D61C2313yescomplemented
282C42×D61C2313yescomplemented
2832−1+4×C61—28no—
284H(5,𝔽2)×C61—28no—
285C2×#41×C61C2313yes—
286C2×#41×C61C2312yes—
287C2×#41×C61C2311yescharacteristic
288C2×#41×C61C2313yescomplemented
289C2×#41×C61C2316yescomplemented
290C22×Q8×C61C2313yescomplemented
291C22×Q8×C61C2312yescomplemented
292C22×D4×C61C2313yes—
293C22×D4×C61C2316yes—
294C4⋊Q8×C61C2313yescomplemented
295#127×C61C2313yescomplemented
296#124×C61C2311yescharacteristic, complemented
297#124×C61C2313yescomplemented
298#124×C61C2316yescomplemented
299#124×C61C23112yescomplemented
300#123×C61C23112yescomplemented
301C22⋊Q8×C61C23112yescomplemented
302#121×C61C23112yescomplemented
303#121×C61C23112yescomplemented
304#120×C61C23112yescomplemented
305C4×Q8×C61C2312yescomplemented
306C4×D4×C61C23112yescomplemented
307C4×D4×C61C2316yescomplemented
308#117×C61C2313yescomplemented
309C2×C22⋊C4×C61C23112yescomplemented
310C2×C42×C61C2313yescomplemented
311C24×C61C2416yes—
312C23×D61—224no—
313C23×D61—424no—
314C23×D61C2412yes—
315C23×D61C2416yes—
316C23×D61C2413yes—
317C23×D61C24112yes—
318C23×D61C2416yes—
319#41×C61—28no—
320#41×C61—224no—
321#41×C61—212no—
322#41×C61—212no—
323#41×C61C2×D418yescomplemented
324C2×Q8×C61—28no—
325C2×Q8×C61—212no—
326C2×Q8×C61C2416yes—
327C2×Q8×C61C2413yes—
328C2×Q8×C61C2411yescharacteristic
329C2×Q8×C61C2411yescharacteristic
330C2×D4×C61—224no—
331C2×D4×C61—212no—
332C2×D4×C61C2416yes—
333C2×D4×C61C2416yes—
334C2×D4×C61C2413yes—
335C2×D4×C61C2416yes—
336C2×D4×C61C2411yescharacteristic
337C2×D4×C61C24112yes—
338C2×D4×C61C2413yes—
339C22×C4×C61C2416yes—
340C22×C4×C61C2416yes—
341C22×C4×C61C2416yes—
342C22×C4×C61C2416yes—
343C22×C4×C61C2413yes—
344C2×C22⋊D61—248no—
345C2×C22⋊D61—224no—
346C2×C22⋊D61C2416yes—
347C2×C22⋊D61C24112yes—
348C2×C22⋊D61C2416yes—
349C2×C22⋊D61C2416yes—
350C2×C22⋊D61C2416yes—
351C2×C22⋊D61C2416yes—
352C2×C22⋊D61C2412yes—
353C2×C22⋊D61C24112yes—
354C2×C22⋊D61C24112yes—
355C2×C22⋊D61C2416yes—
356C22×Dic61C2416yes—
357C22×Dic61C2416yes—
358C22×Dic61C2416yes—
359C22×Dic61C2416yes—
360C22×Dic61C2413yes—
361#11758226—28no—
362#11758226—224no—
363#11758226—212no—
364#11758226—212no—
365#11758226C2×D418yescomplemented
366Q8×D61—28no—
367Q8×D61—224no—
368Q8×D61—212no—
369Q8×D61—224no—
370Q8×D61—224no—
371Q8×D61—24no—
372Q8×D61—224no—
373Q8×D61C2×D418yes—
374#11758224—224no—
375#11758224—248no—
376#11758224—224no—
377#11758224—224no—
378#11758224—212no—
379#11758224—212no—
380#11758224—224no—
381#11758224C2×D4124yescomplemented
382D4×D61—224no—
383D4×D61—224no—
384D4×D61—224no—
385D4×D61—248no—
386D4×D61—224no—
387D4×D61—224no—
388D4×D61—212no—
389D4×D61—224no—
390D4×D61—224no—
391D4×D61—24no—
392D4×D61—424no—
393D4×D61C2×D4124yes—
394#11758222—212no—
395#11758222—212no—
396#11758222—248no—
397#11758222—224no—
398#11758222—224no—
399#11758222—224no—
400#11758222—224no—
401#11758222C2×D4124yescomplemented
402C2×D244—212no—
403C2×D244—224no—
404C2×D244C2416yes—
405C2×D244C2416yes—
406C2×D244C2413yes—
407C2×D244C2416yes—
408C2×D244C2411yescharacteristic
409C2×D244C24112yes—
410C2×D244C2413yes—
411C2×C4×D61—224no—
412C2×C4×D61—224no—
413C2×C4×D61—224no—
414C2×C4×D61—412no—
415C2×C4×D61C2×D4124yes—
416C2×C4×D61C2412yes—
417C2×C4×D61C2416yes—
418C2×C4×D61C2412yes—
419C2×C4×D61C2416yes—
420C2×C4×D61C2416yes—
421C2×C4×D61C2416yes—
422C2×C4×D61C24112yes—
423C2×C4×D61C2416yes—
424C2×C4×D61C2416yes—
425C2×C4×D61C2416yes—
426C2×C4×D61C2416yes—
427C2×C4×D61C2413yes—
428C2×C4×D61C2411yescharacteristic
429C2×C4×D61C2413yes—
430C2×C4×D61C2413yes—
431C2×Dic122—212no—
432C2×Dic122—224no—
433C2×Dic122—224no—
434C2×Dic122C24112yes—
435C2×Dic122C2416yes—
436C2×Dic122C2416yes—
437C2×Dic122C2413yes—
438C2×Dic122C2412yes—
439C2×Dic122C2411yescharacteristic
440C2×Dic122C2413yes—
441C4⋊C4×C61C2416yes—
442C4⋊C4×C61C24112yes—
443C22⋊C4×C61C24112yes—
444C22⋊C4×C61C24124yes—
445C22⋊C4×C61C2416yes—
446C22⋊C4×C61C2414yes—
447C42×C61C2411yescharacteristic
448C42×C61C2413yes—
449C42×C61C2416yes—
450C22⋊Dic61C24112yes—
451C22⋊Dic61C24124yes—
452C22⋊Dic61C2416yes—
453C22⋊Dic61C2414yes—
454#11758198C24112yes—
455#11758198C24112yes—
456#11758198C24124yes—
457#11758198C24124yes—
458#11758198C24112yes—
459#11758198C2414yes—
460#11758198C2414yes—
461C4⋊Dic61C2416yes—
462C4⋊Dic61C24112yes—
463#11758196C24112yes—
464#11758196C24112yes—
465#11758196C24112yes—
466C4×Dic61C2412yes—
467C4×Dic61C2411yescharacteristic
468C4×Dic61C2416yes—
469C4×Dic61C2413yes—
470C4×Dic61C2416yes—
471C4×Dic61C2416yes—
472C4×Dic61C2416yes—
473C23×C61—212no—
474C23×C61—412no—
475C23×C61C2516yes—
476C23×C61C2512yes—
477C23×C61C2513yes—
478C22×D61—212no—
479C22×D61—212no—
480C22×D61—24no—
481C22×D61—212no—
482C22×D61—28no—
483C22×D61—224no—
484C22×D61—224no—
485C22×D61—424no—
486C22×D61—412no—
487C22×D61—848no—
488C22×D61C22×D4112yes—
489C22×D61C2516yes—
490C22×D61C2512yes—
491C22×D61C2513yes—
492C22×D61C2511yescharacteristic
493Q8×C61—26no—
494Q8×C61—212no—
495Q8×C61—22no—
496Q8×C61C22×D414yes—
497D4×C61—212no—
498D4×C61—212no—
499D4×C61—26no—
500D4×C61—212no—
501D4×C61—22no—
502D4×C61—412no—
503D4×C61C22×D4112yes—
504C2×C4×C61—212no—
505C2×C4×C61—212no—
506C2×C4×C61—212no—
507C2×C4×C61—46no—
508C2×C4×C61C22×D4112yes—
509C2×C4×C61C2512yes—
510C2×C4×C61C2516yes—
511C2×C4×C61C2512yes—
512C2×C4×C61C2516yes—
513C2×C4×C61C2511yescharacteristic
514C2×C4×C61C2513yes—
515C22⋊D61—212no—
516C22⋊D61—212no—
517C22⋊D61—212no—
518C22⋊D61—212no—
519C22⋊D61—24no—
520C22⋊D61—212no—
521C22⋊D61—224no—
522C22⋊D61—412no—
523C22⋊D61—412no—
524C22⋊D61C22×D4124yes—
525C2×Dic61—212no—
526C2×Dic61—212no—
527C2×Dic61—212no—
528C2×Dic61—46no—
529C2×Dic61C22×D4112yes—
530C2×Dic61C2512yes—
531C2×Dic61C2516yes—
532C2×Dic61C2512yes—
533C2×Dic61C2516yes—
534C2×Dic61C2511yescharacteristic
535C2×Dic61C2513yes—
536D244—212no—
537D244—212no—
538D244—26no—
539D244—212no—
540D244—22no—
541D244—412no—
542D244C22×D4112yes—
543C4×D61—24no—
544C4×D61—212no—
545C4×D61—224no—
546C4×D61—24no—
547C4×D61—212no—
548C4×D61—212no—
549C4×D61—212no—
550C4×D61—212no—
551C4×D61—212no—
552C4×D61—46no—
553C4×D61—46no—
554C4×D61C22×D4112yes—
555C4×D61C22×D414yes—
556C4×D61C22×D4112yes—
557C4×D61C22×D4112yes—
558Dic122—26no—
559Dic122—212no—
560Dic122—22no—
561Dic122—212no—
562Dic122—224no—
563Dic122—24no—
564Dic122C22×D4112yes—
565C2×#3500—611nomaximal, Sylow
566C22×C61—26no—
567C22×C61—22no—
568C22×C61—26no—
569C22×C61—24no—
570C22×C61—212no—
571C22×C61—812no—
572C22×C61C23×D416yes—
573C22×C61C2611yescharacteristic
574C2×D61—26no—
575C2×D61—224no—
576C2×D61—22no—
577C2×D61—26no—
578C2×D61—24no—
579C2×D61—212no—
580C2×D61—48no—
581C2×D61—424no—
582C2×D61—824no—
583C2×D61—812no—
584C2×D61C23×D416yes—
585C2×D61C23×D412yes—
586C2×D61#58514yes—
587C4×C61—26no—
588C4×C61—22no—
589C4×C61—22no—
590C4×C61—26no—
591C4×C61C23×D412yes—
592C4×C61C23×D416yes—
593Dic61—26no—
594Dic61—22no—
595Dic61—22no—
596Dic61—26no—
597Dic61C23×D412yes—
598Dic61C23×D416yes—
599C22×2−1+4—611no—
600C22×H(5,𝔽2)—611no—
601#3500—611no—
602#3500—611no—
603#3500—614no—
604#3500—6112no—
605#3500—613no—
606#3500—613no—
607#3500—613no—
608#3500—613no—
609#3500—611no—
610#3500D6111yescharacteristic, direct product factor
611C2×#548—614no—
612C2×#546—6112no—
613C2×#536—613no—
614C2×#535—613no—
615C2×#532—613no—
616C22×#124—613no—
617C2×C4×#41—611no—
618C2×C61—26no—
619C2×C61—46no—
620C2×C61—42no—
621C2×C61C24×D411yescharacteristic
622C2×C61C2×#58512yes—
623D61—26no—
624D61—42no—
625D61—46no—
626D61#350014yesdirect product factor
627C2×2−1+4—611no—
628C2×2−1+4—613no—
629C2×2−1+4—616no—
630C2×2−1+4—612no—
631C2×2−1+4—613no—
632C2×2−1+4—12216no—
633C2×2−1+4C2×D6111yescharacteristic, complemented
634C2×H(5,𝔽2)—612no—
635C2×H(5,𝔽2)—613no—
636C2×H(5,𝔽2)—611no—
637C2×H(5,𝔽2)—616no—
638C2×H(5,𝔽2)—613no—
639C2×H(5,𝔽2)—12216no—
640C2×H(5,𝔽2)C2×D6111yescharacteristic, complemented
641C22×#41—611no—
642C22×#41—613no—
643C22×#41—612no—
644C22×#41—613no—
645C22×#41—616no—
646C23×Q8—613no—
647C23×Q8—612no—
648C23×D4—613no—
649C23×D4—616no—
650#548—614no—
651#548—614no—
652#548—6112no—
653#548—6112no—
654#548—6112no—
655#548—614no—
656#548—6112no—
657#548C2×D6114yescomplemented
658#546—6112no—
659#546—6112no—
660#546—6112no—
661#546—6124no—
662#546—6112no—
663#546—6124no—
664#546—6112no—
665#546—6124no—
666#546—6112no—
667#546—6112no—
668#546—6124no—
669#546C2×D61112yescomplemented
670#536—613no—
671#536—613no—
672#536—616no—
673#536—616no—
674#536—6112no—
675#536—6112no—
676#536—613no—
677#536C2×D6113yescomplemented
678#535—613no—
679#535—613no—
680#535—616no—
681#535—616no—
682#535—6112no—
683#535—6112no—
684#535—613no—
685#535C2×D6113yescomplemented
686#532—613no—
687#532—613no—
688#532—613no—
689#532—613no—
690#532—613no—
691#532—613no—
692#532—6112no—
693#532—6112no—
694#532—613no—
695#532C2×D6113yescomplemented
696C2×C4⋊Q8—613no—
697C2×#127—613no—
698C2×#124—613no—
699C2×#124—613no—
700C2×#124—613no—
701C2×#124—616no—
702C2×#124—6112no—
703C2×#124—616no—
704C2×#124—616no—
705C2×#124—6112no—
706C2×#124—611no—
707C2×#124—6112no—
708C2×#124—613no—
709C2×#124C2×D6113yescomplemented
710C2×#123—6112no—
711C2×C22⋊Q8—6112no—
712C2×#121—6112no—
713C2×#121—6112no—
714C2×#120—6112no—
715C4×#41—611no—
716C4×#41—612no—
717C4×#41—616no—
718C4×#41—613no—
719C4×#41—613no—
720C4×#41C2×D6111yescharacteristic, complemented
721C2×C4×Q8—612no—
722C2×C4×D4—616no—
723C2×C4×D4—6112no—
724C2×#117—613no—
725C22×C22⋊C4—6112no—
726C22×C42—613no—
727C61C2×#350011yescharacteristic, complemented, Sylow
728C25—616no—
7292−1+4—28no—
7302−1+4—12216no—
7312−1+4—12224no—
7322−1+4—12248no—
7332−1+4—12224no—
7342−1+4—1228no—
735H(5,𝔽2)—28no—
736H(5,𝔽2)—12248no—
737H(5,𝔽2)—12224no—
738H(5,𝔽2)—12216no—
739H(5,𝔽2)—12224no—
740H(5,𝔽2)—1228no—
741C2×#41—6116no—
742C2×#41—611no—
743C2×#41—613no—
744C2×#41—612no—
745C2×#41—613no—
746C2×#41—616no—
747C2×#41—613no—
748C2×#41—616no—
749C2×#41—613no—
750C2×#41—616no—
751C2×#41—616no—
752C2×#41—613no—
753C2×#41—616no—
754C2×#41—6112no—
755C2×#41—613no—
756C2×#41—616no—
757C2×#41—613no—
758C2×#41—616no—
759C2×#41—616no—
760C2×#41—613no—
761C2×#41—616no—
762C2×#41—6112no—
763C2×#41—12224no—
764C2×#41—12224no—
765C2×#41—12248no—
766C2×#41—12216no—
767C2×#41C22×D6113yes—
768C2×#41C22×D6112yes—
769C2×#41C22×D6111yescharacteristic
770C2×#41C22×D6113yescomplemented
771C2×#41C22×D6116yescomplemented
772C22×Q8—611no—
773C22×Q8—616no—
774C22×Q8—613no—
775C22×Q8—611no—
776C22×Q8—616no—
777C22×Q8—616no—
778C22×Q8—616no—
779C22×Q8—612no—
780C22×Q8—616no—
781C22×Q8—613no—
782C22×Q8—616no—
783C22×Q8—12224no—
784C22×Q8—12216no—
785C22×Q8C22×D6113yescomplemented
786C22×Q8C22×D6112yescomplemented
787C22×D4—613no—
788C22×D4—616no—
789C22×D4—6112no—
790C22×D4—616no—
791C22×D4—616no—
792C22×D4—616no—
793C22×D4—613no—
794C22×D4—616no—
795C22×D4—616no—
796C22×D4—611no—
797C22×D4—6112no—
798C22×D4—616no—
799C22×D4—616no—
800C22×D4—6112no—
801C22×D4—613no—
802C22×D4—616no—
803C22×D4—12224no—
804C22×D4—12248no—
805C22×D4C22×D6113yes—
806C22×D4C22×D6116yes—
807C23×C4—613no—
808C23×C4—616no—
809C23×C4—616no—
810C23×C4—616no—
811C23×C4—616no—
812C4⋊Q8—613no—
813C4⋊Q8—613no—
814C4⋊Q8—6112no—
815C4⋊Q8—613no—
816C4⋊Q8C22×D6113yescomplemented
817#127—6112no—
818#127—613no—
819#127—613no—
820#127—613no—
821#127C22×D6113yescomplemented
822#124—613no—
823#124—616no—
824#124—6112no—
825#124—611no—
826#124—613no—
827#124—616no—
828#124—6112no—
829#124—611no—
830#124—6112no—
831#124—6124no—
832#124—6124no—
833#124—6124no—
834#124—614no—
835#124—613no—
836#124—616no—
837#124—6112no—
838#124—611no—
839#124C22×D6113yescomplemented
840#124C22×D6116yescomplemented
841#124C22×D61112yescomplemented
842#124C22×D6111yescharacteristic, complemented
843#123—6112no—
844#123—6112no—
845#123—6124no—
846#123—6124no—
847#123—6112no—
848#123C22×D61112yescomplemented
849C22⋊Q8—6112no—
850C22⋊Q8—6112no—
851C22⋊Q8—6124no—
852C22⋊Q8—6112no—
853C22⋊Q8—6124no—
854C22⋊Q8C22×D61112yescomplemented
855#121—6112no—
856#121—6112no—
857#121—6112no—
858#121—6112no—
859#121—6124no—
860#121—6112no—
861#121—6112no—
862#121—6112no—
863#121—6112no—
864#121—6112no—
865#121—6112no—
866#121—6124no—
867#121C22×D61112yescomplemented
868#121C22×D61112yescomplemented
869#120—6112no—
870#120—6124no—
871#120—6112no—
872#120—6112no—
873#120—6124no—
874#120C22×D61112yescomplemented
875C4×Q8—612no—
876C4×Q8—616no—
877C4×Q8—616no—
878C4×Q8C22×D6112yescomplemented
879C4×D4—616no—
880C4×D4—6112no—
881C4×D4—6112no—
882C4×D4—6112no—
883C4×D4—6112no—
884C4×D4—616no—
885C4×D4—6112no—
886C4×D4—6112no—
887C4×D4—6112no—
888C4×D4—6112no—
889C4×D4—616no—
890C4×D4—6112no—
891C4×D4C22×D6116yescomplemented
892C4×D4C22×D61112yescomplemented
893#117—613no—
894#117—616no—
895#117—616no—
896#117—616no—
897#117C22×D6113yescomplemented
898C2×C4⋊C4—616no—
899C2×C4⋊C4—6112no—
900C2×C22⋊C4—6112no—
901C2×C22⋊C4—6112no—
902C2×C22⋊C4—6112no—
903C2×C22⋊C4—6112no—
904C2×C22⋊C4—6124no—
905C2×C22⋊C4—6124no—
906C2×C22⋊C4—6124no—
907C2×C22⋊C4—616no—
908C2×C22⋊C4—614no—
909C2×C22⋊C4C22×D61112yescomplemented
910C2×C42—616no—
911C2×C42—613no—
912C2×C42—613no—
913C2×C42—616no—
914C2×C42—616no—
915C2×C42—613no—
916C2×C42—613no—
917C2×C42—611no—
918C2×C42C22×D6113yescomplemented
919C24—613no—
920C24—616no—
921C24—612no—
922C24—6112no—
923C24—616no—
924C24—12224no—
925C24—24424no—
926C24C23×D6116yes—
927#41—28no—
928#41—224no—
929#41—212no—
930#41—212no—
931#41—618no—
932#41—6124no—
933#41—6124no—
934#41—12224no—
935#41—12224no—
936#41—12248no—
937#41—12224no—
938#41—12224no—
939#41—12224no—
940#41—12212no—
941#41—12224no—
942#41—12212no—
943#41—12212no—
944#41—12212no—
945#41—12248no—
946#41—12224no—
947#41—12224no—
948#41—1228no—
949#41—12224no—
950#41—12212no—
951#41—12212no—
952#41D4×D6118yescomplemented
953C2×Q8—28no—
954C2×Q8—212no—
955C2×Q8—618no—
956C2×Q8—613no—
957C2×Q8—6112no—
958C2×Q8—616no—
959C2×Q8—616no—
960C2×Q8—613no—
961C2×Q8—612no—
962C2×Q8—611no—
963C2×Q8—12224no—
964C2×Q8—12224no—
965C2×Q8—12212no—
966C2×Q8—12224no—
967C2×Q8—12224no—
968C2×Q8—12224no—
969C2×Q8—1224no—
970C2×Q8—12224no—
971C2×Q8—1228no—
972C2×Q8—12212no—
973C2×Q8C23×D6116yes—
974C2×Q8C23×D6113yes—
975C2×Q8C23×D6111yescharacteristic
976C2×Q8C23×D6111yescharacteristic
977C2×D4—224no—
978C2×D4—212no—
979C2×D4—616no—
980C2×D4—6124no—
981C2×D4—616no—
982C2×D4—616no—
983C2×D4—616no—
984C2×D4—616no—
985C2×D4—6112no—
986C2×D4—616no—
987C2×D4—612no—
988C2×D4—6112no—
989C2×D4—6112no—
990C2×D4—613no—
991C2×D4—616no—
992C2×D4—616no—
993C2×D4—616no—
994C2×D4—613no—
995C2×D4—611no—
996C2×D4—6112no—
997C2×D4—12224no—
998C2×D4—12212no—
999C2×D4—12224no—
1000C2×D4—12224no—
1001C2×D4—12224no—
1002C2×D4—1224no—
1003C2×D4—12224no—
1004C2×D4—12248no—
1005C2×D4—12224no—
1006C2×D4—12224no—
1007C2×D4—12224no—
1008C2×D4—12248no—
1009C2×D4—12224no—
1010C2×D4—12212no—
1011C2×D4—24424no—
1012C2×D4C23×D6116yes—
1013C2×D4C23×D6116yes—
1014C2×D4C23×D6116yes—
1015C2×D4C23×D6113yes—
1016C2×D4C23×D6111yescharacteristic
1017C2×D4C23×D61112yes—
1018C2×D4C23×D6113yes—
1019C22×C4—613no—
1020C22×C4—6124no—
1021C22×C4—611no—
1022C22×C4—613no—
1023C22×C4—613no—
1024C22×C4—613no—
1025C22×C4—616no—
1026C22×C4—616no—
1027C22×C4—616no—
1028C22×C4—616no—
1029C22×C4—612no—
1030C22×C4—616no—
1031C22×C4—616no—
1032C22×C4—6112no—
1033C22×C4—612no—
1034C22×C4—616no—
1035C22×C4—616no—
1036C22×C4—616no—
1037C22×C4—616no—
1038C22×C4—616no—
1039C22×C4—616no—
1040C22×C4—12224no—
1041C22×C4—12224no—
1042C22×C4—12224no—
1043C22×C4—24412no—
1044C22×C4C23×D6116yes—
1045C22×C4C23×D6116yes—
1046C22×C4C23×D6116yes—
1047C22×C4C23×D6116yes—
1048C22×C4C23×D6113yes—
1049C4⋊C4—6112no—
1050C4⋊C4—6112no—
1051C4⋊C4—6112no—
1052C4⋊C4—616no—
1053C4⋊C4—6112no—
1054C4⋊C4C23×D6116yes—
1055C4⋊C4C23×D61112yes—
1056C22⋊C4—6112no—
1057C22⋊C4—6124no—
1058C22⋊C4—616no—
1059C22⋊C4—614no—
1060C22⋊C4—6112no—
1061C22⋊C4—6112no—
1062C22⋊C4—6124no—
1063C22⋊C4—6124no—
1064C22⋊C4—6112no—
1065C22⋊C4—614no—
1066C22⋊C4—614no—
1067C22⋊C4C23×D61112yes—
1068C22⋊C4C23×D61124yes—
1069C22⋊C4C23×D6116yes—
1070C22⋊C4C23×D6114yes—
1071C42—612no—
1072C42—611no—
1073C42—616no—
1074C42—613no—
1075C42—616no—
1076C42—616no—
1077C42—616no—
1078C42C23×D6111yescharacteristic
1079C42C23×D6113yes—
1080C42C23×D6116yes—
1081C23—212no—
1082C23—412no—
1083C23—611no—
1084C23—6112no—
1085C23—613no—
1086C23—616no—
1087C23—612no—
1088C23—12212no—
1089C23—12224no—
1090C23—1224no—
1091C23—12212no—
1092C23—1228no—
1093C23—12224no—
1094C23—12212no—
1095C23—48848no—
1096C23—24412no—
1097C23—24424no—
1098C23C24×D6116yes—
1099C23C24×D6112yes—
1100C23C24×D6113yes—
1101Q8—212no—
1102Q8—26no—
1103Q8—22no—
1104Q8—6112no—
1105Q8—12212no—
1106Q8—12224no—
1107Q8—1224no—
1108Q8—12212no—
1109Q8—1226no—
1110Q8—1222no—
1111Q8C2×D4×D6114yes—
1112D4—212no—
1113D4—212no—
1114D4—212no—
1115D4—26no—
1116D4—22no—
1117D4—412no—
1118D4—6124no—
1119D4—6112no—
1120D4—12212no—
1121D4—12212no—
1122D4—12212no—
1123D4—12224no—
1124D4—1224no—
1125D4—12212no—
1126D4—12212no—
1127D4—12212no—
1128D4—12212no—
1129D4—12212no—
1130D4—1226no—
1131D4—1222no—
1132D4—24412no—
1133D4—24412no—
1134D4—24412no—
1135D4C2×D4×D61112yes—
1136C2×C4—212no—
1137C2×C4—212no—
1138C2×C4—212no—
1139C2×C4—46no—
1140C2×C4—6112no—
1141C2×C4—611no—
1142C2×C4—613no—
1143C2×C4—614no—
1144C2×C4—6112no—
1145C2×C4—6112no—
1146C2×C4—6112no—
1147C2×C4—612no—
1148C2×C4—616no—
1149C2×C4—616no—
1150C2×C4—612no—
1151C2×C4—12212no—
1152C2×C4—12212no—
1153C2×C4—1224no—
1154C2×C4—12212no—
1155C2×C4—12224no—
1156C2×C4—1224no—
1157C2×C4—12212no—
1158C2×C4—12212no—
1159C2×C4—12212no—
1160C2×C4—12212no—
1161C2×C4—12212no—
1162C2×C4—12212no—
1163C2×C4—2446no—
1164C2×C4—2446no—
1165C2×C4—2446no—
1166C2×C4C2×D4×D61112yes—
1167C2×C4C24×D6112yes—
1168C2×C4C24×D6116yes—
1169C2×C4C24×D6116yes—
1170C2×C4C24×D6112yes—
1171C2×C4C24×D6111yescharacteristic
1172C2×C4C24×D6113yes—
1173C22—26no—
1174C22—22no—
1175C22—26no—
1176C22—24no—
1177C22—212no—
1178C22—812no—
1179C22—612no—
1180C22—614no—
1181C22—616no—
1182C22—12224no—
1183C22—1226no—
1184C22—1222no—
1185C22—1226no—
1186C22—1224no—
1187C22—12212no—
1188C22—48812no—
1189C22—48824no—
1190C22—2448no—
1191C22—24424no—
1192C22C22×D4×D6116yes—
1193C22C25×D6111yescharacteristic
1194C4—22no—
1195C4—26no—
1196C4—22no—
1197C4—26no—
1198C4—612no—
1199C4—616no—
1200C4—1222no—
1201C4—1226no—
1202C4—1222no—
1203C4—1226no—
1204C4C22×D4×D6116yes—
1205C4C22×D4×D6112yes—
1206C2—26no—
1207C2—46no—
1208C2—42no—
1209C2—614no—
1210C2—1226no—
1211C2—2446no—
1212C2—2442no—
1213C2C23×D4×D6111yescharacteristic
1214C2#585×D6112yes—
subgroupG/H
center, FrattiniC22C25×D61
commutator, socle, cosocleC22×C61C26
FittingC61×#3500C2
hypercenter#3500D61
hypocenterC61C2×#3500
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. C2×2−1+4×D61C2semidirect
2. C2×H(5,𝔽2)×D61C2semidirect
3. #21459613C2semidirect
4. #21459612C2semidirect
5. #21459611C2semidirect
6. #21459610C2semidirect
7. #21459609C2semidirect
8. #21459608C2semidirect
9. #21459607C2semidirect
10. #21459606C2semidirect
11. #21459605C2semidirect
12. #548×D61C2semidirect
13. #546×D61C2semidirect
14. #536×D61C2semidirect
15. #535×D61C2semidirect
16. #532×D61C2semidirect
17. C2×#124×D61C2semidirect
18. C4×#41×D61C2semidirect
19. C61×#3500C2semidirect
20. C2×#14519825C22semidirect
21. C2×#14519825C22semidirect
22. C2×#14519824C22semidirect
23. C2×#14519824C22semidirect
24. C2×#14519824C22semidirect
26. C2×#14519823C22semidirect
27. C2×#14519823C22semidirect
28. C2×#14519823C22semidirect
29. C2×#14519822C22semidirect
30. C2×#14519822C22semidirect
35. C2×#41×D61C22semidirect
36. C2×#41×D61C22semidirect
37. C22×Q8×D61C22semidirect
38. C22×Q8×D61C22semidirect
41. #16840424C22semidirect
42. #16840423C22semidirect
43. #16840422C22semidirect
44. #16840421C22semidirect
45. #16840420C22semidirect
46. #16840419C22semidirect
47. #16840418C22semidirect
48. #16840409C22semidirect
49. #16840408C22semidirect
50. #16840407C22semidirect
51. #16840406C22semidirect
52. #16840405C22semidirect
53. #16840404C22semidirect
54. #16840403C22semidirect
55. #16840402C22semidirect
56. #16840401C22semidirect
57. #16840400C22semidirect
58. #16840399C22semidirect
59. #16840338C22semidirect
60. #16840337C22semidirect
61. #16840336C22semidirect
62. #16840335C22semidirect
63. #16840334C22semidirect
64. #16840333C22semidirect
65. #16840332C22semidirect
66. #16840331C22semidirect
67. #16840330C22semidirect
68. #16840329C22semidirect
69. #16840328C22semidirect
70. #16840327C22semidirect
71. #16840326C22semidirect
72. #16840325C22semidirect
73. #16840313C22semidirect
74. #16840312C22semidirect
75. #16840311C22semidirect
76. #16840311C22semidirect
77. #16840310C22semidirect
78. #16840309C22semidirect
79. #16840308C22semidirect
80. #16840308C22semidirect
81. #16840307C22semidirect
82. C4⋊Q8×D61C22semidirect
83. #127×D61C22semidirect
84. C2×#14519766C22semidirect
85. C2×#14519765C22semidirect
86. C2×#14519764C22semidirect
87. C2×#14519763C22semidirect
88. #124×D61C22semidirect
89. #124×D61C22semidirect
90. #124×D61C22semidirect
91. #124×D61C22semidirect
92. #124×D61C22semidirect
93. #124×D61C22semidirect
94. #124×D61C22semidirect
95. #123×D61C22semidirect
96. C22⋊Q8×D61C22semidirect
97. #121×D61C22semidirect
98. #121×D61C22semidirect
99. #120×D61C22semidirect
100. #41×Dic61C22semidirect
101. C4×#11758226C22semidirect
102. C4×#11758222C22semidirect
103. #16840230C22semidirect
104. C4×#11758224C22semidirect
105. C4×Q8×D61C22semidirect
106. C4×D4×D61C22semidirect
107. C4×D4×D61C22semidirect
108. #117×D61C22semidirect
109. C2×C22⋊C4×D61C22semidirect
110. C2×C42×D61C22semidirect
111. C2×2−1+4×C61C22semidirect
112. C2×H(5,𝔽2)×C61C22semidirect
113. C61×#548C22semidirect
114. C61×#546C22semidirect
115. C61×#536C22semidirect
116. C61×#535C22semidirect
117. C61×#532C22semidirect
118. C2×#124×C61C22semidirect
119. C4×#41×C61C22semidirect
134. C2×#11758226C23semidirect
135. C2×#11758226C23semidirect
140. C2×#11758222C23semidirect
141. C2×#11758222C23semidirect
142. C2×#11758222C23semidirect
143. C2×#11758222C23semidirect
148. C2×#11758224C23semidirect
149. C2×#11758224C23semidirect
150. C2×#11758224C23semidirect
151. C2×#11758224C23semidirect
156. #41×D61D4semidirect
157. C22×Dic122C23semidirect
158. C22×Dic122C23semidirect
159. C22×Dic122C23semidirect
166. C2×Q8×D61C23semidirect
167. C2×Q8×D61C23semidirect
168. C2×Q8×D61C23semidirect
169. C2×Q8×D61C23semidirect
193. #14519777C23semidirect
194. #14519776C23semidirect
195. #14519775C23semidirect
196. #14519775C23semidirect
197. #14519774C23semidirect
198. #14519773C23semidirect
199. #14519773C23semidirect
200. #14519773C23semidirect
201. #14519766C23semidirect
202. #14519766C23semidirect
203. #14519766C23semidirect
204. #14519766C23semidirect
205. #14519765C23semidirect
206. #14519765C23semidirect
207. #14519765C23semidirect
208. #14519765C23semidirect
209. #14519764C23semidirect
210. #14519764C23semidirect
211. #14519764C23semidirect
212. #14519764C23semidirect
213. #14519763C23semidirect
214. #14519763C23semidirect
215. #14519763C23semidirect
216. #14519763C23semidirect
217. #14519763C23semidirect
218. #14519762C23semidirect
219. #14519761C23semidirect
220. #14519760C23semidirect
221. #14519759C23semidirect
222. #14519758C23semidirect
223. #14519757C23semidirect
224. #14519756C23semidirect
225. #14519755C23semidirect
226. #14519754C23semidirect
227. #14519753C23semidirect
228. #14519752C23semidirect
229. #14519752C23semidirect
230. #14519751C23semidirect
231. #14519751C23semidirect
232. #14519750C23semidirect
233. #14519750C23semidirect
234. #14519750C23semidirect
235. #14519749C23semidirect
236. #14519749C23semidirect
237. #14519749C23semidirect
238. #14519748C23semidirect
239. #14519748C23semidirect
240. #14519747C23semidirect
241. #14519747C23semidirect
242. #14519746C23semidirect
243. #14519745C23semidirect
244. #14519745C23semidirect
245. Q8×Dic61C23semidirect
246. C4×Dic122C23semidirect
247. #14519742C23semidirect
248. C4×D244C23semidirect
249. C4×D244C23semidirect
250. D4×Dic61C23semidirect
251. D4×Dic61C23semidirect
252. #14519739C23semidirect
253. #14519739C23semidirect
254. C4×C22⋊D61C23semidirect
255. C4×C22⋊D61C23semidirect
256. C4×C22⋊D61C23semidirect
257. #14519737C23semidirect
258. #14519737C23semidirect
259. #14519737C23semidirect
260. #14519736C23semidirect
261. #14519735C23semidirect
262. #14519734C23semidirect
263. #14519733C23semidirect
266. C2×C22⋊Dic61C23semidirect
267. C2×#11758198C23semidirect
268. C2×#11758198C23semidirect
273. C22⋊C4×D61C23semidirect
274. C22⋊C4×D61C23semidirect
275. C2×C4×Dic61C23semidirect
276. C2×C4×Dic61C23semidirect
280. C42×D61C23semidirect
281. C42×D61C23semidirect
282. C42×D61C23semidirect
288. C2×#41×C61C23semidirect
289. C2×#41×C61C23semidirect
290. C22×Q8×C61C23semidirect
291. C22×Q8×C61C23semidirect
294. C4⋊Q8×C61C23semidirect
295. #127×C61C23semidirect
296. #124×C61C23semidirect
297. #124×C61C23semidirect
298. #124×C61C23semidirect
299. #124×C61C23semidirect
300. #123×C61C23semidirect
301. C22⋊Q8×C61C23semidirect
302. #121×C61C23semidirect
303. #121×C61C23semidirect
304. #120×C61C23semidirect
305. C4×Q8×C61C23semidirect
306. C4×D4×C61C23semidirect
307. C4×D4×C61C23semidirect
308. #117×C61C23semidirect
309. C2×C22⋊C4×C61C23semidirect
310. C2×C42×C61C23semidirect
323. #41×C61C2×D4semidirect
365. #11758226C2×D4semidirect
381. #11758224C2×D4semidirect
401. #11758222C2×D4semidirect
610. #3500D61direct (N × H)
626. D61#3500direct (N × H)
633. C2×2−1+4C2×D61semidirect
640. C2×H(5,𝔽2)C2×D61semidirect
657. #548C2×D61semidirect
669. #546C2×D61semidirect
677. #536C2×D61semidirect
685. #535C2×D61semidirect
695. #532C2×D61semidirect
709. C2×#124C2×D61semidirect
720. C4×#41C2×D61semidirect
727. C61C2×#3500semidirect
770. C2×#41C22×D61semidirect
771. C2×#41C22×D61semidirect
785. C22×Q8C22×D61semidirect
786. C22×Q8C22×D61semidirect
816. C4⋊Q8C22×D61semidirect
821. #127C22×D61semidirect
839. #124C22×D61semidirect
840. #124C22×D61semidirect
841. #124C22×D61semidirect
842. #124C22×D61semidirect
848. #123C22×D61semidirect
854. C22⋊Q8C22×D61semidirect
867. #121C22×D61semidirect
868. #121C22×D61semidirect
874. #120C22×D61semidirect
878. C4×Q8C22×D61semidirect
891. C4×D4C22×D61semidirect
892. C4×D4C22×D61semidirect
897. #117C22×D61semidirect
909. C2×C22⋊C4C22×D61semidirect
918. C2×C42C22×D61semidirect
952. #41D4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×2−1+4×D612
C2×H(5,𝔽2)×D612
#214596132
#214596122
#214596112
#214596102
#214596092
#214596082
#214596072
#214596062
#214596052
#548×D612
#546×D612
#536×D612
#535×D612
#532×D612
C2×#124×D612
C4×#41×D612
C61×#35002
C2×#350061