Finite Group Databasebeta

← C101×#19772 #38801923

Subgroups — C101×#19772 #38801923

Order 25856.

710 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#3330C211yesmaximal, characteristic, complemented
2C101×#3294C211yesmaximal, characteristic, complemented
3C101×#3294C211yesmaximal, characteristic, complemented
4C101×#3283C211yesmaximal, characteristic, complemented
5C101×#1720C211yesmaximal, characteristic, complemented
6C101×#1701C211yesmaximal, characteristic, complemented
7C101×#1681C211yesmaximal, characteristic, complemented
8C101×#1679C211yesmaximal, characteristic, complemented
9C101×#1669C211yesmaximal, characteristic, complemented
10C101×#1654C211yesmaximal, characteristic, complemented
11C101×#1654C211yesmaximal, characteristic, complemented
12C101×#1639C211yesmaximal, characteristic, complemented
13C101×#1625C211yesmaximal, characteristic, complemented
14C101×#1581C211yesmaximal, characteristic, complemented
15C101×#1580C211yesmaximal, characteristic, complemented
16C2×#135×C101—21no—
17#547×C101C2211yescharacteristic
18#547×C101C2211yescharacteristic
19#547×C101C2211yescharacteristic, complemented
20D42×C101C2211yescharacteristic
21#498×C101C2211yescharacteristic, complemented
22#494×C101C2211yescharacteristic, complemented
23#487×C101C2211yescharacteristic, complemented
24#486×C101C2211yescharacteristic
25#486×C101C2211yescharacteristic
26#486×C101C2211yescharacteristic
27#484×C101—21no—
28#480×C101—21no—
29#480×C101—21no—
30#474×C101C2211yescharacteristic
31#474×C101C2211yescharacteristic
32#474×C101C2211yescharacteristic
33#468×C101—21no—
34#467×C101—21no—
35#466×C101—21no—
36#466×C101—21no—
37#461×C101C2211yescharacteristic
38#461×C101C2211yescharacteristic, complemented
39#461×C101C2211yescharacteristic, complemented
40#459×C101C2211yescharacteristic
41#459×C101C2211yescharacteristic
42#452×C101—21no—
43#452×C101—21no—
44#449×C101—21no—
45#447×C101—21no—
46#447×C101—21no—
47C4×D8×C101C2211yescharacteristic
48C4×D8×C101C2211yescharacteristic
49#436×C101C2211yescharacteristic, complemented
50C8×D4×C101C2211yescharacteristic
51C8×D4×C101C2211yescharacteristic
52C8×D4×C101C2211yescharacteristic, complemented
53#417×C101—21no—
54C2×#102×C101—21no—
55C2×#102×C101—21no—
56#335×C101C2211yescharacteristic, complemented
57#334×C101C2211yescharacteristic, complemented
58#332×C101C2211yescharacteristic, complemented
59#332×C101C2211yescharacteristic, complemented
60#332×C101C2211yescharacteristic, complemented
61#331×C101C2211yescharacteristic
62D4⋊C8×C101C2211yescharacteristic
63D4⋊C8×C101C2211yescharacteristic
64D4⋊C8×C101C2211yescharacteristic, complemented
65D4⋊C8×C101C2211yescharacteristic, complemented
66#322×C101C2211yescharacteristic, complemented
67C2×#41×C101—21no—
68C2×#41×C101—21no—
69C2×#41×C101—21no—
70C22×D4×C101—21no—
71C22×D4×C101—21no—
72#135×C101—44no—
73C2×Q16×C101—21no—
74C2×Q16×C101—21no—
75C2×SD16×C101—21no—
76C2×SD16×C101—21no—
77C2×SD16×C101—21no—
78C2×D8×C101—21no—
79C2×D8×C101—21no—
80C2×D8×C101D411yescharacteristic
81C2×D8×C101D411yescharacteristic
82C2×M16×C101—21no—
83C22×C8×C101—21no—
84C22×C8×C101—21no—
85C22×C8×C101—21no—
86C4⋊Q8×C101C2311yescharacteristic
87C4⋊Q8×C101C2311yescharacteristic
88C4⋊Q8×C101C2311yescharacteristic
89#127×C101C2311yescharacteristic
90#123×C101—41no—
91#123×C101—41no—
92#123×C101—41no—
93C22⋊Q8×C101—21no—
94C22⋊Q8×C101—21no—
95C22⋊Q8×C101—21no—
96#121×C101—21no—
97#121×C101—21no—
98#121×C101—21no—
99#121×C101—21no—
100#121×C101—21no—
101#120×C101—41no—
102C4×D4×C101C2311yescharacteristic
103C4×D4×C101C2311yescharacteristic
104C4×D4×C101C2311yescharacteristic
105C4×D4×C101C2311yescharacteristic
106C2×C4⋊C4×C101—21no—
107C2×C4⋊C4×C101—21no—
108C2×C4⋊C4×C101—21no—
109#107×C101—21no—
110#107×C101—21no—
111#107×C101—21no—
112#107×C101D411yescharacteristic
113#107×C101D411yescharacteristic
114#106×C101—41no—
115C4⋊C8×C101C2311yescharacteristic
116C4⋊C8×C101C2311yescharacteristic
117C4⋊C8×C101C2311yescharacteristic
118C4⋊C8×C101C2311yescharacteristic
119#103×C101—21no—
120#103×C101—21no—
121#103×C101—21no—
122#103×C101—21no—
123#103×C101—21no—
124#102×C101—21no—
125#102×C101—21no—
126#102×C101—21no—
127#102×C101—21no—
128#102×C101—21no—
129#102×C101—21no—
130#102×C101—21no—
131#102×C101—21no—
132#102×C101—21no—
133#102×C101—41no—
134#102×C101D411yescharacteristic
135#102×C101D411yescharacteristic
136#102×C101D411yescharacteristic
137#102×C101D411yescharacteristic
138C22⋊C8×C101—21no—
139C22⋊C8×C101—21no—
140C22⋊C8×C101—21no—
141C22⋊C8×C101—21no—
142C4×C8×C101C2311yescharacteristic
143C4×C8×C101C2311yescharacteristic
144C4×C8×C101C2311yescharacteristic
145C24×C101—41no—
146#41×C101—42no—
147#41×C101—42no—
148#41×C101—42no—
149#41×C101—81no—
150#41×C101—81no—
151#41×C101—81no—
152C2×Q8×C101—21no—
153C2×Q8×C101—21no—
154C2×Q8×C101—21no—
155C2×D4×C101—21no—
156C2×D4×C101—21no—
157C2×D4×C101—21no—
158C2×D4×C101—41no—
159C2×D4×C101—41no—
160C2×D4×C101—42no—
161C2×D4×C101—42no—
162C2×D4×C101—41no—
163C2×D4×C101—41no—
164C2×D4×C101—41no—
165C2×D4×C101—81no—
166C2×D4×C101—81no—
167C2×D4×C101C2×D411yescharacteristic
168C2×D4×C101C2×D411yescharacteristic
169C2×D4×C101C2×D411yescharacteristic
170C2×D4×C101C2×D411yescharacteristic
171C22×C4×C101—21no—
172C22×C4×C101—21no—
173C22×C4×C101—21no—
174C22×C4×C101—21no—
175C22×C4×C101—41no—
176C22×C4×C101—41no—
177C22×C4×C101—41no—
178Q16×C101—42no—
179Q16×C101—81no—
180SD16×C101—42no—
181SD16×C101—42no—
182SD16×C101—81no—
183D8×C101—22no—
184D8×C101—22no—
185D8×C101—81no—
186D8×C101—81no—
187M16×C101—81no—
188C2×C8×C101—21no—
189C2×C8×C101—21no—
190C2×C8×C101—21no—
191C2×C8×C101—21no—
192C2×C8×C101—21no—
193C2×C8×C101—42no—
194C2×C8×C101—81no—
195C2×C8×C101—81no—
196C2×C8×C101C2×D411yescharacteristic
197C2×C8×C101C2×D411yescharacteristic
198C2×C8×C101C2×D411yescharacteristic
199C2×C8×C101C2×D411yescharacteristic
200C4⋊C4×C101—21no—
201C4⋊C4×C101—21no—
202C4⋊C4×C101—21no—
203C4⋊C4×C101—21no—
204C4⋊C4×C101—21no—
205C4⋊C4×C101—21no—
206C4⋊C4×C101—41no—
207C4⋊C4×C101—41no—
208C4⋊C4×C101—41no—
209C4⋊C4×C101C2×D411yescharacteristic
210C4⋊C4×C101C2×D411yescharacteristic
211C4⋊C4×C101C2×D411yescharacteristic
212C4⋊C4×C101C2×D411yescharacteristic
213C22⋊C4×C101—21no—
214C22⋊C4×C101—21no—
215C22⋊C4×C101—21no—
216C22⋊C4×C101—21no—
217C22⋊C4×C101—41no—
218C22⋊C4×C101—41no—
219C22⋊C4×C101—41no—
220C22⋊C4×C101—41no—
221C42×C101C2411yescharacteristic
222C23×C101—21no—
223C23×C101—21no—
224C23×C101—21no—
225C23×C101—21no—
226C23×C101—41no—
227C23×C101—82no—
228C23×C101—82no—
229C23×C101—161no—
230Q8×C101—41no—
231Q8×C101—41no—
232Q8×C101—41no—
233Q8×C101—41no—
234Q8×C101—41no—
235Q8×C101—41no—
236D4×C101—21no—
237D4×C101—21no—
238D4×C101—21no—
239D4×C101—21no—
240D4×C101—21no—
241D4×C101—21no—
242D4×C101—41no—
243D4×C101—41no—
244D4×C101—41no—
245D4×C101—41no—
246D4×C101—81no—
247D4×C101—82no—
248D4×C101—82no—
249D4×C101—82no—
250D4×C101—82no—
251D4×C101—82no—
252D4×C101#13512yescomplemented
253D4×C101AGL(1,ℤ/8)12yes—
254C2×C4×C101—21no—
255C2×C4×C101—21no—
256C2×C4×C101—21no—
257C2×C4×C101—21no—
258C2×C4×C101—41no—
259C2×C4×C101—41no—
260C2×C4×C101—41no—
261C2×C4×C101—41no—
262C2×C4×C101—41no—
263C2×C4×C101—41no—
264C2×C4×C101—41no—
265C2×C4×C101—41no—
266C2×C4×C101—41no—
267C2×C4×C101—41no—
268C2×C4×C101—41no—
269C2×C4×C101—82no—
270C2×C4×C101—82no—
271C2×C4×C101—82no—
272C2×C4×C101C22×D411yescharacteristic
273C2×C4×C101C22×D411yescharacteristic
274C2×C4×C101H(5,𝔽2)11yescharacteristic
275C8×C101—21no—
276C8×C101—21no—
277C8×C101—21no—
278C8×C101—21no—
279C8×C101—41no—
280C8×C101—41no—
281C8×C101—41no—
282C8×C101—41no—
283C8×C101—41no—
284C22×C101—22no—
285C22×C101—22no—
286C22×C101—41no—
287C22×C101—41no—
288C22×C101—41no—
289C22×C101—41no—
290C22×C101—41no—
291C22×C101—41no—
292C22×C101—41no—
293C22×C101—41no—
294C22×C101—41no—
295C22×C101—41no—
296C22×C101—81no—
297C22×C101—81no—
298C22×C101—81no—
299C22×C101—164no—
300C22×C101D4211yescharacteristic
301C4×C101—21no—
302C4×C101—41no—
303C4×C101—41no—
304C4×C101—41no—
305C4×C101—41no—
306C4×C101—81no—
307C4×C101—81no—
308C4×C101—81no—
309C4×C101C2×#13511yescharacteristic
310C4×C101C2×AGL(1,ℤ/8)11yescharacteristic
311C4×C101#57611yescharacteristic
312C4×C101#57611yescharacteristic
313#19772C10111yesmaximal, characteristic, direct product factor, Sylow
314C2×C101—42no—
315C2×C101—42no—
316C2×C101—81no—
317C2×C101—81no—
318C2×C101—161no—
319C2×C101#326411yescharacteristic
320C2×C101#328011yescharacteristic
321C2×C101#328911yescharacteristic
322#3330C2×C10111yescharacteristic, complemented
323#3294C2×C10111yescharacteristic, complemented
324#3294C2×C10111yescharacteristic, complemented
325#3283C2×C10111yescharacteristic, complemented
326#1720C2×C10111yescharacteristic, complemented
327#1701C2×C10111yescharacteristic, complemented
328#1681C2×C10111yescharacteristic, complemented
329#1679C2×C10111yescharacteristic, complemented
330#1669C2×C10111yescharacteristic, complemented
331#1654C2×C10111yescharacteristic, complemented
332#1654C2×C10111yescharacteristic, complemented
333#1639C2×C10111yescharacteristic, complemented
334#1625C2×C10111yescharacteristic, complemented
335#1581C2×C10111yescharacteristic, complemented
336#1580C2×C10111yescharacteristic, complemented
337C101#1977211yescharacteristic, direct product factor, Sylow
338C2×#135—21no—
339#547C22×C10111yescharacteristic
340#547C22×C10111yescharacteristic
341#547C22×C10111yescharacteristic, complemented
342D42C22×C10111yescharacteristic
343#498C22×C10111yescharacteristic, complemented
344#494C22×C10111yescharacteristic, complemented
345#487C22×C10111yescharacteristic, complemented
346#486C22×C10111yescharacteristic
347#486C22×C10111yescharacteristic
348#486C22×C10111yescharacteristic
349#484—21no—
350#480—21no—
351#480—21no—
352#474C22×C10111yescharacteristic
353#474C22×C10111yescharacteristic
354#474C22×C10111yescharacteristic
355#468—21no—
356#467—21no—
357#466—21no—
358#466—21no—
359#461C22×C10111yescharacteristic
360#461C22×C10111yescharacteristic, complemented
361#461C22×C10111yescharacteristic, complemented
362#459C22×C10111yescharacteristic
363#459C22×C10111yescharacteristic
364#452—21no—
365#452—21no—
366#449—21no—
367#447—21no—
368#447—21no—
369C4×D8C22×C10111yescharacteristic
370C4×D8C22×C10111yescharacteristic
371#436C22×C10111yescharacteristic, complemented
372C8×D4C22×C10111yescharacteristic
373C8×D4C22×C10111yescharacteristic
374C8×D4C22×C10111yescharacteristic, complemented
375#417—21no—
376C2×#102—21no—
377C2×#102—21no—
378#335C22×C10111yescharacteristic, complemented
379#334C22×C10111yescharacteristic, complemented
380#332C22×C10111yescharacteristic, complemented
381#332C22×C10111yescharacteristic, complemented
382#332C22×C10111yescharacteristic, complemented
383#331C22×C10111yescharacteristic
384D4⋊C8C22×C10111yescharacteristic
385D4⋊C8C22×C10111yescharacteristic
386D4⋊C8C22×C10111yescharacteristic, complemented
387D4⋊C8C22×C10111yescharacteristic, complemented
388#322C22×C10111yescharacteristic, complemented
389C2×#41—21no—
390C2×#41—21no—
391C2×#41—21no—
392C22×D4—21no—
393C22×D4—21no—
394#135—44no—
395C2×Q16—21no—
396C2×Q16—21no—
397C2×SD16—21no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×D8—21no—
401C2×D8—21no—
402C2×D8D4×C10111yescharacteristic
403C2×D8D4×C10111yescharacteristic
404C2×M16—21no—
405C22×C8—21no—
406C22×C8—21no—
407C22×C8—21no—
408C4⋊Q8C23×C10111yescharacteristic
409C4⋊Q8C23×C10111yescharacteristic
410C4⋊Q8C23×C10111yescharacteristic
411#127C23×C10111yescharacteristic
412#123—41no—
413#123—41no—
414#123—41no—
415C22⋊Q8—21no—
416C22⋊Q8—21no—
417C22⋊Q8—21no—
418#121—21no—
419#121—21no—
420#121—21no—
421#121—21no—
422#121—21no—
423#120—41no—
424C4×D4C23×C10111yescharacteristic
425C4×D4C23×C10111yescharacteristic
426C4×D4C23×C10111yescharacteristic
427C4×D4C23×C10111yescharacteristic
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431#107—21no—
432#107—21no—
433#107—21no—
434#107D4×C10111yescharacteristic
435#107D4×C10111yescharacteristic
436#106—41no—
437C4⋊C8C23×C10111yescharacteristic
438C4⋊C8C23×C10111yescharacteristic
439C4⋊C8C23×C10111yescharacteristic
440C4⋊C8C23×C10111yescharacteristic
441#103—21no—
442#103—21no—
443#103—21no—
444#103—21no—
445#103—21no—
446#102—21no—
447#102—21no—
448#102—21no—
449#102—21no—
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102—41no—
456#102D4×C10111yescharacteristic
457#102D4×C10111yescharacteristic
458#102D4×C10111yescharacteristic
459#102D4×C10111yescharacteristic
460C22⋊C8—21no—
461C22⋊C8—21no—
462C22⋊C8—21no—
463C22⋊C8—21no—
464C4×C8C23×C10111yescharacteristic
465C4×C8C23×C10111yescharacteristic
466C4×C8C23×C10111yescharacteristic
467C24—41no—
468#41—42no—
469#41—42no—
470#41—42no—
471#41—81no—
472#41—81no—
473#41—81no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—41no—
487C2×D4—81no—
488C2×D4—81no—
489C2×D4C2×D4×C10111yescharacteristic
490C2×D4C2×D4×C10111yescharacteristic
491C2×D4C2×D4×C10111yescharacteristic
492C2×D4C2×D4×C10111yescharacteristic
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500Q16—42no—
501Q16—81no—
502SD16—42no—
503SD16—42no—
504SD16—81no—
505D8—22no—
506D8—22no—
507D8—81no—
508D8—81no—
509M16—81no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—42no—
516C2×C8—81no—
517C2×C8—81no—
518C2×C8C2×D4×C10111yescharacteristic
519C2×C8C2×D4×C10111yescharacteristic
520C2×C8C2×D4×C10111yescharacteristic
521C2×C8C2×D4×C10111yescharacteristic
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—41no—
529C4⋊C4—41no—
530C4⋊C4—41no—
531C4⋊C4C2×D4×C10111yescharacteristic
532C4⋊C4C2×D4×C10111yescharacteristic
533C4⋊C4C2×D4×C10111yescharacteristic
534C4⋊C4C2×D4×C10111yescharacteristic
535C22⋊C4—21no—
536C22⋊C4—21no—
537C22⋊C4—21no—
538C22⋊C4—21no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C22⋊C4—41no—
542C22⋊C4—41no—
543C42C24×C10111yescharacteristic
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—41no—
549C23—82no—
550C23—82no—
551C23—161no—
552Q8—41no—
553Q8—41no—
554Q8—41no—
555Q8—41no—
556Q8—41no—
557Q8—41no—
558D4—21no—
559D4—21no—
560D4—21no—
561D4—21no—
562D4—21no—
563D4—21no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—81no—
569D4—82no—
570D4—82no—
571D4—82no—
572D4—82no—
573D4—82no—
574D4#135×C10112yescomplemented
575D4AGL(1,ℤ/8)×C10112yes—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—82no—
592C2×C4—82no—
593C2×C4—82no—
594C2×C4C22×D4×C10111yescharacteristic
595C2×C4C22×D4×C10111yescharacteristic
596C2×C4H(5,𝔽2)×C10111yescharacteristic
597C8—21no—
598C8—21no—
599C8—21no—
600C8—21no—
601C8—41no—
602C8—41no—
603C8—41no—
604C8—41no—
605C8—41no—
606C22—22no—
607C22—22no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—164no—
622C22D42×C10111yescharacteristic
623C4—21no—
624C4—41no—
625C4—41no—
626C4—41no—
627C4—41no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4C2×#135×C10111yescharacteristic
632C4C2×AGL(1,ℤ/8)×C10111yescharacteristic
633C4#576×C10111yescharacteristic
634C4#576×C10111yescharacteristic
635C2—42no—
636C2—42no—
637C2—81no—
638C2—81no—
639C2—161no—
640C2C101×#326411yescharacteristic
641C2C101×#328011yescharacteristic
642C2C101×#328911yescharacteristic
subgroupG/H
center, socleC22×C101D42
commutator, Frattini, cosocleC42C24×C101
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C101 ◁ C42×C101 ◁ G

Complements

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

NH ≅ G/Ntype
1. C101×#3330C2semidirect
2. C101×#3294C2semidirect
3. C101×#3294C2semidirect
4. C101×#3283C2semidirect
5. C101×#1720C2semidirect
6. C101×#1701C2semidirect
7. C101×#1681C2semidirect
8. C101×#1679C2semidirect
9. C101×#1669C2semidirect
10. C101×#1654C2semidirect
11. C101×#1654C2semidirect
12. C101×#1639C2semidirect
13. C101×#1625C2semidirect
14. C101×#1581C2semidirect
15. C101×#1580C2semidirect
19. #547×C101C22semidirect
21. #498×C101C22semidirect
22. #494×C101C22semidirect
23. #487×C101C22semidirect
38. #461×C101C22semidirect
39. #461×C101C22semidirect
49. #436×C101C22semidirect
52. C8×D4×C101C22semidirect
56. #335×C101C22semidirect
57. #334×C101C22semidirect
58. #332×C101C22semidirect
59. #332×C101C22semidirect
60. #332×C101C22semidirect
64. D4⋊C8×C101C22semidirect
65. D4⋊C8×C101C22semidirect
66. #322×C101C22semidirect
252. D4×C101#135semidirect
313. #19772C101direct (N × H)
322. #3330C2×C101semidirect
323. #3294C2×C101semidirect
324. #3294C2×C101semidirect
325. #3283C2×C101semidirect
326. #1720C2×C101semidirect
327. #1701C2×C101semidirect
328. #1681C2×C101semidirect
329. #1679C2×C101semidirect
330. #1669C2×C101semidirect
331. #1654C2×C101semidirect
332. #1654C2×C101semidirect
333. #1639C2×C101semidirect
334. #1625C2×C101semidirect
335. #1581C2×C101semidirect
336. #1580C2×C101semidirect
337. C101#19772direct (N × H)
341. #547C22×C101semidirect
343. #498C22×C101semidirect
344. #494C22×C101semidirect
345. #487C22×C101semidirect
360. #461C22×C101semidirect
361. #461C22×C101semidirect
371. #436C22×C101semidirect
374. C8×D4C22×C101semidirect
378. #335C22×C101semidirect
379. #334C22×C101semidirect
380. #332C22×C101semidirect
381. #332C22×C101semidirect
382. #332C22×C101semidirect
386. D4⋊C8C22×C101semidirect
387. D4⋊C8C22×C101semidirect
388. #322C22×C101semidirect
574. D4#135×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#33302
C101×#32942
C101×#32832
C101×#17202
C101×#17012
C101×#16812
C101×#16792
C101×#16692
C101×#16542
C101×#16392
C101×#16252
C101×#15812
C101×#15802
#19772101