Finite Group Databasebeta

← C101×#19759 #38801910

Subgroups — C101×#19759 #38801910

Order 25856.

762 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#3391C211yesmaximal, characteristic, complemented
2C101×#3294C211yesmaximal, characteristic, complemented
3C101×#3284C211yesmaximal, characteristic, complemented
4C101×#3274C211yesmaximal, characteristic, complemented
5C101×#1721C211yesmaximal, characteristic, complemented
6C101×#1685C211yesmaximal, characteristic, complemented
7C101×#1682C211yesmaximal, characteristic, complemented
8C101×#1667C211yesmaximal, characteristic, complemented
9C101×#1667C211yesmaximal, characteristic, complemented
10C101×#1641C211yesmaximal, characteristic, complemented
11C101×#1625C211yesmaximal, characteristic, complemented
12C101×#1621C211yesmaximal, characteristic, complemented
13C101×#1619C211yesmaximal, characteristic, complemented
14C101×#1581C211yesmaximal, characteristic, complemented
15C101×SD16⋊C8C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C101—21no—
17C2×#135×C101—21no—
18#550×C101C2211yescharacteristic
19#550×C101C2211yescharacteristic, complemented
20#547×C101C2211yescharacteristic
21D42×C101C2211yescharacteristic
22#493×C101—21no—
23#493×C101C2211yescharacteristic
24#493×C101C2211yescharacteristic
25#493×C101C2211yescharacteristic, complemented
26#492×C101C2211yescharacteristic, complemented
27#486×C101C2211yescharacteristic
28#486×C101C2211yescharacteristic, complemented
29#480×C101—21no—
30#474×C101C2211yescharacteristic
31#469×C101—21no—
32#466×C101—21no—
33#465×C101—21no—
34#462×C101C2211yescharacteristic, complemented
35#460×C101C2211yescharacteristic
36#459×C101—21no—
37#459×C101—21no—
38#459×C101C2211yescharacteristic
39#459×C101C2211yescharacteristic
40#459×C101C2211yescharacteristic
41#459×C101C2211yescharacteristic
42#459×C101C2211yescharacteristic, complemented
43#452×C101—21no—
44#449×C101—21no—
45#449×C101—21no—
46#447×C101—21no—
47#447×C101—21no—
48C8×Q8×C101C2211yescharacteristic, complemented
49C4×SD16×C101C2211yescharacteristic
50C4×D8×C101—21no—
51C4×D8×C101C2211yescharacteristic
52#436×C101C2211yescharacteristic
53C8×D4×C101C2211yescharacteristic
54C8×D4×C101C2211yescharacteristic, complemented
55C2×#102×C101—21no—
56#335×C101C2211yescharacteristic, complemented
57#335×C101C2211yescharacteristic, complemented
58#332×C101C2211yescharacteristic, complemented
59#331×C101C2211yescharacteristic
60#331×C101C2211yescharacteristic, complemented
61#331×C101C2211yescharacteristic, complemented
62Q8⋊C8×C101C2211yescharacteristic, complemented
63D4⋊C8×C101C2211yescharacteristic
64D4⋊C8×C101C2211yescharacteristic
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—
72AGL(1,ℤ/8)×C101—44no—
73#135×C101—44no—
74C2×Q16×C101—21no—
75C2×SD16×C101—21no—
76C2×SD16×C101—21no—
77C2×SD16×C101—21no—
78C2×SD16×C101D411yescharacteristic
79C2×D8×C101—21no—
80C2×D8×C101—21no—
81C2×D8×C101—21no—
82C2×D8×C101—21no—
83C2×D8×C101—21no—
84C2×D8×C101—21no—
85C2×D8×C101—21no—
86C2×D8×C101—21no—
87C2×D8×C101—21no—
88C2×D8×C101—41no—
89C2×D8×C101D411yescharacteristic
90C2×M16×C101—21no—
91C22×C8×C101—21no—
92C22×C8×C101—21no—
93C4⋊Q8×C101C2311yescharacteristic
94#127×C101—21no—
95#127×C101—21no—
96#127×C101C2311yescharacteristic
97#127×C101C2311yescharacteristic
98#127×C101C2311yescharacteristic
99#123×C101—41no—
100C22⋊Q8×C101—21no—
101#121×C101—21no—
102#121×C101—21no—
103#121×C101—21no—
104#121×C101—21no—
105#121×C101—21no—
106#121×C101—41no—
107#121×C101—41no—
108#120×C101—41no—
109C4×Q8×C101C2311yescharacteristic
110C4×D4×C101—21no—
111C4×D4×C101—21no—
112C4×D4×C101C2311yescharacteristic
113C4×D4×C101C2311yescharacteristic
114C4×D4×C101C2311yescharacteristic
115C2×C4⋊C4×C101—21no—
116#107×C101—21no—
117#107×C101D411yescharacteristic
118#106×C101D411yescharacteristic
119C4⋊C8×C101—21no—
120C4⋊C8×C101C2311yescharacteristic
121C4⋊C8×C101C2311yescharacteristic
122C4⋊C8×C101C2311yescharacteristic
123C4⋊C8×C101C2311yescharacteristic
124#103×C101—21no—
125#103×C101D411yescharacteristic
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—21no—
134#102×C101—21no—
135#102×C101—41no—
136#102×C101D411yescharacteristic
137#102×C101D411yescharacteristic
138#102×C101D411yescharacteristic
139C22⋊C8×C101—21no—
140C22⋊C8×C101—21no—
141C22⋊C8×C101—21no—
142C4×C8×C101—21no—
143C4×C8×C101C2311yescharacteristic
144C4×C8×C101C2311yescharacteristic
145C4×C8×C101C2311yescharacteristic
146C24×C101—41no—
147#41×C101—42no—
148#41×C101—42no—
149#41×C101—42no—
150#41×C101—81no—
151#41×C101—81no—
152#41×C101—81no—
153C2×Q8×C101—21no—
154C2×Q8×C101C2×D411yescharacteristic
155C2×D4×C101—21no—
156C2×D4×C101—21no—
157C2×D4×C101—21no—
158C2×D4×C101—21no—
159C2×D4×C101—21no—
160C2×D4×C101—21no—
161C2×D4×C101—21no—
162C2×D4×C101—21no—
163C2×D4×C101—21no—
164C2×D4×C101—41no—
165C2×D4×C101—41no—
166C2×D4×C101—41no—
167C2×D4×C101—41no—
168C2×D4×C101—41no—
169C2×D4×C101—41no—
170C2×D4×C101—42no—
171C2×D4×C101—42no—
172C2×D4×C101—41no—
173C2×D4×C101—81no—
174C2×D4×C101—81no—
175C2×D4×C101C2×D411yescharacteristic
176C2×D4×C101C2×D411yescharacteristic
177C2×D4×C101C2×D411yescharacteristic
178C22×C4×C101—21no—
179C22×C4×C101—21no—
180C22×C4×C101—21no—
181C22×C4×C101—41no—
182C22×C4×C101—41no—
183C22×C4×C101—41no—
184Q16×C101—42no—
185SD16×C101—42no—
186SD16×C101—42no—
187SD16×C101—81no—
188SD16×C101D814yescomplemented
189D8×C101—41no—
190D8×C101—42no—
191D8×C101—42no—
192D8×C101—42no—
193D8×C101—42no—
194D8×C101—81no—
195D8×C101—81no—
196D8×C101—81no—
197D8×C101—81no—
198D8×C101—81no—
199D8×C101—82no—
200M16×C101—42no—
201C2×C8×C101—21no—
202C2×C8×C101—21no—
203C2×C8×C101—21no—
204C2×C8×C101—21no—
205C2×C8×C101—21no—
206C2×C8×C101—42no—
207C2×C8×C101—81no—
208C2×C8×C101C2×D411yescharacteristic
209C2×C8×C101C2×D411yescharacteristic
210C2×C8×C101C2×D411yescharacteristic
211C2×C8×C101C2×D411yescharacteristic
212C4⋊C4×C101—21no—
213C4⋊C4×C101—21no—
214C4⋊C4×C101—21no—
215C4⋊C4×C101—41no—
216C4⋊C4×C101C2×D411yescharacteristic
217C4⋊C4×C101C2×D411yescharacteristic
218C4⋊C4×C101C2×D411yescharacteristic
219C4⋊C4×C101C2×D411yescharacteristic
220C22⋊C4×C101—21no—
221C22⋊C4×C101—21no—
222C22⋊C4×C101—21no—
223C22⋊C4×C101—41no—
224C22⋊C4×C101—41no—
225C22⋊C4×C101—41no—
226C22⋊C4×C101—41no—
227C42×C101—21no—
228C42×C101C2411yescharacteristic
229C23×C101—21no—
230C23×C101—21no—
231C23×C101—21no—
232C23×C101—41no—
233C23×C101—41no—
234C23×C101—41no—
235C23×C101—82no—
236C23×C101—82no—
237C23×C101—161no—
238Q8×C101—21no—
239Q8×C101—41no—
240Q8×C101—41no—
241Q8×C101C2×D812yes—
242D4×C101—21no—
243D4×C101—21no—
244D4×C101—21no—
245D4×C101—21no—
246D4×C101—21no—
247D4×C101—41no—
248D4×C101—41no—
249D4×C101—41no—
250D4×C101—41no—
251D4×C101—41no—
252D4×C101—41no—
253D4×C101—41no—
254D4×C101—41no—
255D4×C101—41no—
256D4×C101—41no—
257D4×C101—41no—
258D4×C101—41no—
259D4×C101—82no—
260D4×C101—82no—
261D4×C101—81no—
262D4×C101—81no—
263D4×C101—81no—
264D4×C101—82no—
265D4×C101—82no—
266D4×C101—82no—
267D4×C101—161no—
268D4×C101—161no—
269D4×C101C2×D812yes—
270C2×C4×C101—21no—
271C2×C4×C101—21no—
272C2×C4×C101—21no—
273C2×C4×C101—21no—
274C2×C4×C101—21no—
275C2×C4×C101—41no—
276C2×C4×C101—41no—
277C2×C4×C101—41no—
278C2×C4×C101—41no—
279C2×C4×C101—41no—
280C2×C4×C101—41no—
281C2×C4×C101—41no—
282C2×C4×C101—82no—
283C2×C4×C101—82no—
284C2×C4×C101—82no—
285C2×C4×C101C22×D411yescharacteristic
286C2×C4×C101C22×D411yescharacteristic
287C2×C4×C101H(5,𝔽2)11yescharacteristic
288C8×C101—21no—
289C8×C101—21no—
290C8×C101—21no—
291C8×C101—41no—
292C8×C101—41no—
293C8×C101—41no—
294C8×C101—41no—
295C8×C101—41no—
296C8×C101C2×D812yes—
297C22×C101—22no—
298C22×C101—41no—
299C22×C101—41no—
300C22×C101—41no—
301C22×C101—41no—
302C22×C101—41no—
303C22×C101—41no—
304C22×C101—41no—
305C22×C101—41no—
306C22×C101—81no—
307C22×C101—81no—
308C22×C101—81no—
309C22×C101—81no—
310C22×C101—81no—
311C22×C101—81no—
312C22×C101—81no—
313C22×C101—81no—
314C22×C101—81no—
315C22×C101—164no—
316C22×C101D4211yescharacteristic
317C4×C101—22no—
318C4×C101—21no—
319C4×C101—41no—
320C4×C101—41no—
321C4×C101—41no—
322C4×C101—41no—
323C4×C101—81no—
324C4×C101C22×D811yescharacteristic
325C4×C101#57511yescharacteristic
326C4×C101#57611yescharacteristic
327C4×C101#57611yescharacteristic
328#19759C10111yesmaximal, characteristic, direct product factor, Sylow
329C2×C101—42no—
330C2×C101—81no—
331C2×C101—81no—
332C2×C101—161no—
333C2×C101—161no—
334C2×C101—161no—
335C2×C101#326811yescharacteristic
336C2×C101D4×D811yescharacteristic
337C2×C101#328811yescharacteristic
338#3391C2×C10111yescharacteristic, complemented
339#3294C2×C10111yescharacteristic, complemented
340#3284C2×C10111yescharacteristic, complemented
341#3274C2×C10111yescharacteristic, complemented
342#1721C2×C10111yescharacteristic, complemented
343#1685C2×C10111yescharacteristic, complemented
344#1682C2×C10111yescharacteristic, complemented
345#1667C2×C10111yescharacteristic, complemented
346#1667C2×C10111yescharacteristic, complemented
347#1641C2×C10111yescharacteristic, complemented
348#1625C2×C10111yescharacteristic, complemented
349#1621C2×C10111yescharacteristic, complemented
350#1619C2×C10111yescharacteristic, complemented
351#1581C2×C10111yescharacteristic, complemented
352SD16⋊C8C2×C10111yescharacteristic, complemented
353C101#1975911yescharacteristic, direct product factor, Sylow
354C2×AGL(1,ℤ/8)—21no—
355C2×#135—21no—
356#550C22×C10111yescharacteristic
357#550C22×C10111yescharacteristic, complemented
358#547C22×C10111yescharacteristic
359D42C22×C10111yescharacteristic
360#493—21no—
361#493C22×C10111yescharacteristic
362#493C22×C10111yescharacteristic
363#493C22×C10111yescharacteristic, complemented
364#492C22×C10111yescharacteristic, complemented
365#486C22×C10111yescharacteristic
366#486C22×C10111yescharacteristic, complemented
367#480—21no—
368#474C22×C10111yescharacteristic
369#469—21no—
370#466—21no—
371#465—21no—
372#462C22×C10111yescharacteristic, complemented
373#460C22×C10111yescharacteristic
374#459—21no—
375#459—21no—
376#459C22×C10111yescharacteristic
377#459C22×C10111yescharacteristic
378#459C22×C10111yescharacteristic
379#459C22×C10111yescharacteristic
380#459C22×C10111yescharacteristic, complemented
381#452—21no—
382#449—21no—
383#449—21no—
384#447—21no—
385#447—21no—
386C8×Q8C22×C10111yescharacteristic, complemented
387C4×SD16C22×C10111yescharacteristic
388C4×D8—21no—
389C4×D8C22×C10111yescharacteristic
390#436C22×C10111yescharacteristic
391C8×D4C22×C10111yescharacteristic
392C8×D4C22×C10111yescharacteristic, complemented
393C2×#102—21no—
394#335C22×C10111yescharacteristic, complemented
395#335C22×C10111yescharacteristic, complemented
396#332C22×C10111yescharacteristic, complemented
397#331C22×C10111yescharacteristic
398#331C22×C10111yescharacteristic, complemented
399#331C22×C10111yescharacteristic, complemented
400Q8⋊C8C22×C10111yescharacteristic, complemented
401D4⋊C8C22×C10111yescharacteristic
402D4⋊C8C22×C10111yescharacteristic
403D4⋊C8C22×C10111yescharacteristic, complemented
404#322C22×C10111yescharacteristic, complemented
405C2×#41—21no—
406C2×#41—21no—
407C2×#41—21no—
408C22×D4—21no—
409C22×D4—21no—
410AGL(1,ℤ/8)—44no—
411#135—44no—
412C2×Q16—21no—
413C2×SD16—21no—
414C2×SD16—21no—
415C2×SD16—21no—
416C2×SD16D4×C10111yescharacteristic
417C2×D8—21no—
418C2×D8—21no—
419C2×D8—21no—
420C2×D8—21no—
421C2×D8—21no—
422C2×D8—21no—
423C2×D8—21no—
424C2×D8—21no—
425C2×D8—21no—
426C2×D8—41no—
427C2×D8D4×C10111yescharacteristic
428C2×M16—21no—
429C22×C8—21no—
430C22×C8—21no—
431C4⋊Q8C23×C10111yescharacteristic
432#127—21no—
433#127—21no—
434#127C23×C10111yescharacteristic
435#127C23×C10111yescharacteristic
436#127C23×C10111yescharacteristic
437#123—41no—
438C22⋊Q8—21no—
439#121—21no—
440#121—21no—
441#121—21no—
442#121—21no—
443#121—21no—
444#121—41no—
445#121—41no—
446#120—41no—
447C4×Q8C23×C10111yescharacteristic
448C4×D4—21no—
449C4×D4—21no—
450C4×D4C23×C10111yescharacteristic
451C4×D4C23×C10111yescharacteristic
452C4×D4C23×C10111yescharacteristic
453C2×C4⋊C4—21no—
454#107—21no—
455#107D4×C10111yescharacteristic
456#106D4×C10111yescharacteristic
457C4⋊C8—21no—
458C4⋊C8C23×C10111yescharacteristic
459C4⋊C8C23×C10111yescharacteristic
460C4⋊C8C23×C10111yescharacteristic
461C4⋊C8C23×C10111yescharacteristic
462#103—21no—
463#103D4×C10111yescharacteristic
464#102—21no—
465#102—21no—
466#102—21no—
467#102—21no—
468#102—21no—
469#102—21no—
470#102—21no—
471#102—21no—
472#102—21no—
473#102—41no—
474#102D4×C10111yescharacteristic
475#102D4×C10111yescharacteristic
476#102D4×C10111yescharacteristic
477C22⋊C8—21no—
478C22⋊C8—21no—
479C22⋊C8—21no—
480C4×C8—21no—
481C4×C8C23×C10111yescharacteristic
482C4×C8C23×C10111yescharacteristic
483C4×C8C23×C10111yescharacteristic
484C24—41no—
485#41—42no—
486#41—42no—
487#41—42no—
488#41—81no—
489#41—81no—
490#41—81no—
491C2×Q8—21no—
492C2×Q8C2×D4×C10111yescharacteristic
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—41no—
503C2×D4—41no—
504C2×D4—41no—
505C2×D4—41no—
506C2×D4—41no—
507C2×D4—41no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—41no—
511C2×D4—81no—
512C2×D4—81no—
513C2×D4C2×D4×C10111yescharacteristic
514C2×D4C2×D4×C10111yescharacteristic
515C2×D4C2×D4×C10111yescharacteristic
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—41no—
520C22×C4—41no—
521C22×C4—41no—
522Q16—42no—
523SD16—42no—
524SD16—42no—
525SD16—81no—
526SD16D8×C10114yescomplemented
527D8—41no—
528D8—42no—
529D8—42no—
530D8—42no—
531D8—42no—
532D8—81no—
533D8—81no—
534D8—81no—
535D8—81no—
536D8—81no—
537D8—82no—
538M16—42no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—42no—
545C2×C8—81no—
546C2×C8C2×D4×C10111yescharacteristic
547C2×C8C2×D4×C10111yescharacteristic
548C2×C8C2×D4×C10111yescharacteristic
549C2×C8C2×D4×C10111yescharacteristic
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—41no—
554C4⋊C4C2×D4×C10111yescharacteristic
555C4⋊C4C2×D4×C10111yescharacteristic
556C4⋊C4C2×D4×C10111yescharacteristic
557C4⋊C4C2×D4×C10111yescharacteristic
558C22⋊C4—21no—
559C22⋊C4—21no—
560C22⋊C4—21no—
561C22⋊C4—41no—
562C22⋊C4—41no—
563C22⋊C4—41no—
564C22⋊C4—41no—
565C42—21no—
566C42C24×C10111yescharacteristic
567C23—21no—
568C23—21no—
569C23—21no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—82no—
574C23—82no—
575C23—161no—
576Q8—21no—
577Q8—41no—
578Q8—41no—
579Q8C2×D8×C10112yes—
580D4—21no—
581D4—21no—
582D4—21no—
583D4—21no—
584D4—21no—
585D4—41no—
586D4—41no—
587D4—41no—
588D4—41no—
589D4—41no—
590D4—41no—
591D4—41no—
592D4—41no—
593D4—41no—
594D4—41no—
595D4—41no—
596D4—41no—
597D4—82no—
598D4—82no—
599D4—81no—
600D4—81no—
601D4—81no—
602D4—82no—
603D4—82no—
604D4—82no—
605D4—161no—
606D4—161no—
607D4C2×D8×C10112yes—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—82no—
621C2×C4—82no—
622C2×C4—82no—
623C2×C4C22×D4×C10111yescharacteristic
624C2×C4C22×D4×C10111yescharacteristic
625C2×C4H(5,𝔽2)×C10111yescharacteristic
626C8—21no—
627C8—21no—
628C8—21no—
629C8—41no—
630C8—41no—
631C8—41no—
632C8—41no—
633C8—41no—
634C8C2×D8×C10112yes—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22—81no—
650C22—81no—
651C22—81no—
652C22—81no—
653C22—164no—
654C22D42×C10111yescharacteristic
655C4—22no—
656C4—21no—
657C4—41no—
658C4—41no—
659C4—41no—
660C4—41no—
661C4—81no—
662C4C22×D8×C10111yescharacteristic
663C4#575×C10111yescharacteristic
664C4#576×C10111yescharacteristic
665C4#576×C10111yescharacteristic
666C2—42no—
667C2—81no—
668C2—81no—
669C2—161no—
670C2—161no—
671C2—161no—
672C2C101×#326811yescharacteristic
673C2D4×D8×C10111yescharacteristic
674C2C101×#328811yescharacteristic
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×#3391C2semidirect
2. C101×#3294C2semidirect
3. C101×#3284C2semidirect
4. C101×#3274C2semidirect
5. C101×#1721C2semidirect
6. C101×#1685C2semidirect
7. C101×#1682C2semidirect
8. C101×#1667C2semidirect
9. C101×#1667C2semidirect
10. C101×#1641C2semidirect
11. C101×#1625C2semidirect
12. C101×#1621C2semidirect
13. C101×#1619C2semidirect
14. C101×#1581C2semidirect
15. C101×SD16⋊C8C2semidirect
19. #550×C101C22semidirect
25. #493×C101C22semidirect
26. #492×C101C22semidirect
28. #486×C101C22semidirect
34. #462×C101C22semidirect
42. #459×C101C22semidirect
48. C8×Q8×C101C22semidirect
54. C8×D4×C101C22semidirect
56. #335×C101C22semidirect
57. #335×C101C22semidirect
58. #332×C101C22semidirect
60. #331×C101C22semidirect
61. #331×C101C22semidirect
62. Q8⋊C8×C101C22semidirect
65. D4⋊C8×C101C22semidirect
66. #322×C101C22semidirect
188. SD16×C101D8semidirect
328. #19759C101direct (N × H)
338. #3391C2×C101semidirect
339. #3294C2×C101semidirect
340. #3284C2×C101semidirect
341. #3274C2×C101semidirect
342. #1721C2×C101semidirect
343. #1685C2×C101semidirect
344. #1682C2×C101semidirect
345. #1667C2×C101semidirect
346. #1667C2×C101semidirect
347. #1641C2×C101semidirect
348. #1625C2×C101semidirect
349. #1621C2×C101semidirect
350. #1619C2×C101semidirect
351. #1581C2×C101semidirect
352. SD16⋊C8C2×C101semidirect
353. C101#19759direct (N × H)
357. #550C22×C101semidirect
363. #493C22×C101semidirect
364. #492C22×C101semidirect
366. #486C22×C101semidirect
372. #462C22×C101semidirect
380. #459C22×C101semidirect
386. C8×Q8C22×C101semidirect
392. C8×D4C22×C101semidirect
394. #335C22×C101semidirect
395. #335C22×C101semidirect
396. #332C22×C101semidirect
398. #331C22×C101semidirect
399. #331C22×C101semidirect
400. Q8⋊C8C22×C101semidirect
403. D4⋊C8C22×C101semidirect
404. #322C22×C101semidirect
526. SD16D8×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#33912
C101×#32942
C101×#32842
C101×#32742
C101×#17212
C101×#16852
C101×#16822
C101×#16672
C101×#16412
C101×#16252
C101×#16212
C101×#16192
C101×#15812
C101×SD16⋊C82
#19759101