Finite Group Databasebeta

← C101×#19771 #38801922

Subgroups — C101×#19771 #38801922

Order 25856.

736 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#3325C211yesmaximal, characteristic, complemented
2C101×#3303C211yesmaximal, characteristic, complemented
3C101×#3294C211yesmaximal, characteristic, complemented
4D4×D8×C101C211yesmaximal, characteristic, complemented
5C101×#1717C211yesmaximal, characteristic, complemented
6C101×#1701C211yesmaximal, characteristic, complemented
7C101×#1683C211yesmaximal, characteristic, complemented
8C101×#1677C211yesmaximal, characteristic, complemented
9C101×#1667C211yesmaximal, characteristic, complemented
10C101×#1639C211yesmaximal, characteristic, complemented
11C101×#1629C211yesmaximal, characteristic, complemented
12C101×#1625C211yesmaximal, characteristic, complemented
13C101×#1624C211yesmaximal, characteristic, complemented
14C101×#1581C211yesmaximal, characteristic, complemented
15C101×#1580C211yesmaximal, characteristic, complemented
16C22×D8×C101—21no—
17#555×C101C2211yescharacteristic, complemented
18#547×C101C2211yescharacteristic, complemented
19D42×C101C2211yescharacteristic
20D42×C101C2211yescharacteristic
21#493×C101C2211yescharacteristic
22#492×C101C2211yescharacteristic, complemented
23#487×C101C2211yescharacteristic, complemented
24#486×C101C2211yescharacteristic, complemented
25#486×C101C2211yescharacteristic, complemented
26#486×C101C2211yescharacteristic, complemented
27#485×C101—21no—
28#482×C101—21no—
29#480×C101—21no—
30#476×C101C2211yescharacteristic
31#476×C101C2211yescharacteristic, complemented
32#474×C101C2211yescharacteristic
33#469×C101—21no—
34#466×C101—21no—
35#466×C101—21no—
36#465×C101—21no—
37#461×C101C2211yescharacteristic, complemented
38#459×C101C2211yescharacteristic
39#459×C101C2211yescharacteristic
40#459×C101C2211yescharacteristic, complemented
41#459×C101C2211yescharacteristic, complemented
42#449×C101—21no—
43#447×C101—21no—
44#447×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, complemented
52C8×D4×C101C2211yescharacteristic, complemented
53#418×C101—21no—
54#416×C101—21no—
55C2×#102×C101—21no—
56#335×C101C2211yescharacteristic, complemented
57#334×C101C2211yescharacteristic, complemented
58#333×C101C2211yescharacteristic, complemented
59#332×C101C2211yescharacteristic, complemented
60#331×C101C2211yescharacteristic, complemented
61#331×C101C2211yescharacteristic, complemented
62D4⋊C8×C101C2211yescharacteristic
63D4⋊C8×C101C2211yescharacteristic, complemented
64D4⋊C8×C101C2211yescharacteristic, complemented
65D4⋊C8×C101C2211yescharacteristic, complemented
66#322×C101C2211yescharacteristic, complemented
67C2×#41×C101—21no—
68C22×D4×C101—21no—
69C22×D4×C101—21no—
70C22×D4×C101—21no—
71C22×D4×C101—21no—
72C2×SD16×C101—21no—
73C2×SD16×C101—41no—
74C2×D8×C101—21no—
75C2×D8×C101—21no—
76C2×D8×C101—21no—
77C2×D8×C101—21no—
78C2×D8×C101—21no—
79C2×D8×C101—21no—
80C2×D8×C101—44no—
81C2×D8×C101D411yescharacteristic
82C2×D8×C101D411yescharacteristic
83C2×M16×C101—21no—
84C22×C8×C101—21no—
85C22×C8×C101—21no—
86C22×C8×C101—21no—
87C4⋊Q8×C101C2311yescharacteristic
88C4⋊Q8×C101C2311yescharacteristic
89#127×C101C2311yescharacteristic
90#127×C101C2311yescharacteristic
91#124×C101—41no—
92#123×C101—41no—
93C22⋊Q8×C101—21no—
94#121×C101—21no—
95#121×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—
102#120×C101—41no—
103C4×D4×C101C2311yescharacteristic
104C4×D4×C101C2311yescharacteristic
105C4×D4×C101C2311yescharacteristic
106C4×D4×C101C2311yescharacteristic
107#117×C101—21no—
108#117×C101—21no—
109C2×C4⋊C4×C101—21no—
110#107×C101—21no—
111#107×C101D411yescharacteristic
112#107×C101D411yescharacteristic
113#106×C101—21no—
114#106×C101—21no—
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#102×C101—21no—
123#102×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—
146C24×C101—41no—
147#41×C101—42no—
148#41×C101—81no—
149C2×Q8×C101—21no—
150C2×Q8×C101—21no—
151C2×D4×C101—21no—
152C2×D4×C101—21no—
153C2×D4×C101—21no—
154C2×D4×C101—21no—
155C2×D4×C101—21no—
156C2×D4×C101—21no—
157C2×D4×C101—41no—
158C2×D4×C101—41no—
159C2×D4×C101—41no—
160C2×D4×C101—41no—
161C2×D4×C101—42no—
162C2×D4×C101—42no—
163C2×D4×C101—42no—
164C2×D4×C101—42no—
165C2×D4×C101—41no—
166C2×D4×C101—41no—
167C2×D4×C101—81no—
168C2×D4×C101—81no—
169C2×D4×C101—81no—
170C2×D4×C101—81no—
171C2×D4×C101C2×D411yescharacteristic
172C2×D4×C101C2×D411yescharacteristic
173C2×D4×C101C2×D411yescharacteristic
174C2×D4×C101C2×D411yescharacteristic
175C22×C4×C101—21no—
176C22×C4×C101—21no—
177C22×C4×C101—21no—
178C22×C4×C101—21no—
179C22×C4×C101—41no—
180SD16×C101—81no—
181SD16×C101—82no—
182D8×C101—22no—
183D8×C101—22no—
184D8×C101—42no—
185D8×C101—42no—
186D8×C101—42no—
187D8×C101—81no—
188D8×C101—81no—
189D8×C101—81no—
190M16×C101—81no—
191C2×C8×C101—21no—
192C2×C8×C101—21no—
193C2×C8×C101—21no—
194C2×C8×C101—21no—
195C2×C8×C101—21no—
196C2×C8×C101—42no—
197C2×C8×C101—81no—
198C2×C8×C101—81no—
199C2×C8×C101C2×D411yescharacteristic
200C2×C8×C101C2×D411yescharacteristic
201C2×C8×C101C2×D411yescharacteristic
202C2×C8×C101C2×D411yescharacteristic
203C4⋊C4×C101—21no—
204C4⋊C4×C101—21no—
205C4⋊C4×C101—21no—
206C4⋊C4×C101—21no—
207C4⋊C4×C101—41no—
208C4⋊C4×C101C2×D411yescharacteristic
209C4⋊C4×C101C2×D411yescharacteristic
210C4⋊C4×C101C2×D411yescharacteristic
211C4⋊C4×C101C2×D411yescharacteristic
212C22⋊C4×C101—21no—
213C22⋊C4×C101—21no—
214C22⋊C4×C101—21no—
215C22⋊C4×C101—21no—
216C22⋊C4×C101—41no—
217C22⋊C4×C101—41no—
218C22⋊C4×C101—41no—
219C22⋊C4×C101—41no—
220C22⋊C4×C101—41no—
221C42×C101—41no—
222C42×C101C2411yescharacteristic
223C23×C101—21no—
224C23×C101—21no—
225C23×C101—21no—
226C23×C101—21no—
227C23×C101—41no—
228C23×C101—41no—
229C23×C101—82no—
230C23×C101—82no—
231C23×C101—82no—
232C23×C101—82no—
233C23×C101—161no—
234C23×C101—161no—
235Q8×C101—41no—
236Q8×C101—41no—
237Q8×C101—81no—
238D4×C101—21no—
239D4×C101—21no—
240D4×C101—21no—
241D4×C101—21no—
242D4×C101—21no—
243D4×C101—21no—
244D4×C101—41no—
245D4×C101—41no—
246D4×C101—41no—
247D4×C101—41no—
248D4×C101—41no—
249D4×C101—41no—
250D4×C101—41no—
251D4×C101—41no—
252D4×C101—81no—
253D4×C101—81no—
254D4×C101—82no—
255D4×C101—82no—
256D4×C101—82no—
257D4×C101—82no—
258D4×C101—82no—
259D4×C101—161no—
260D4×C101#13512yes—
261D4×C101AGL(1,ℤ/8)12yes—
262C2×C4×C101—21no—
263C2×C4×C101—21no—
264C2×C4×C101—21no—
265C2×C4×C101—21no—
266C2×C4×C101—41no—
267C2×C4×C101—41no—
268C2×C4×C101—41no—
269C2×C4×C101—41no—
270C2×C4×C101—41no—
271C2×C4×C101—41no—
272C2×C4×C101—41no—
273C2×C4×C101—41no—
274C2×C4×C101—41no—
275C2×C4×C101—41no—
276C2×C4×C101—82no—
277C2×C4×C101C22×D411yescharacteristic
278C2×C4×C101C22×D411yescharacteristic
279C2×C4×C101H(5,𝔽2)11yescharacteristic
280C8×C101—21no—
281C8×C101—21no—
282C8×C101—21no—
283C8×C101—21no—
284C8×C101—41no—
285C8×C101—41no—
286C8×C101—41no—
287C8×C101—41no—
288C8×C101—41no—
289C22×C101—22no—
290C22×C101—22no—
291C22×C101—41no—
292C22×C101—41no—
293C22×C101—41no—
294C22×C101—41no—
295C22×C101—41no—
296C22×C101—41no—
297C22×C101—41no—
298C22×C101—41no—
299C22×C101—41no—
300C22×C101—41no—
301C22×C101—81no—
302C22×C101—81no—
303C22×C101—81no—
304C22×C101—81no—
305C22×C101—81no—
306C22×C101—81no—
307C22×C101—164no—
308C22×C101—164no—
309C22×C101D4211yescharacteristic
310C4×C101—21no—
311C4×C101—41no—
312C4×C101—41no—
313C4×C101—41no—
314C4×C101—41no—
315C4×C101—81no—
316C4×C101—81no—
317C4×C101C2×#13511yescharacteristic
318C4×C101C2×AGL(1,ℤ/8)11yescharacteristic
319C4×C101#57611yescharacteristic
320C4×C101#57611yescharacteristic
321#19771C10111yesmaximal, characteristic, direct product factor, Sylow
322C2×C101—42no—
323C2×C101—42no—
324C2×C101—81no—
325C2×C101—81no—
326C2×C101—161no—
327C2×C101—161no—
328C2×C101#326411yescharacteristic
329C2×C101#328011yescharacteristic
330C2×C101#328811yescharacteristic
331#3325C2×C10111yescharacteristic, complemented
332#3303C2×C10111yescharacteristic, complemented
333#3294C2×C10111yescharacteristic, complemented
334D4×D8C2×C10111yescharacteristic, complemented
335#1717C2×C10111yescharacteristic, complemented
336#1701C2×C10111yescharacteristic, complemented
337#1683C2×C10111yescharacteristic, complemented
338#1677C2×C10111yescharacteristic, complemented
339#1667C2×C10111yescharacteristic, complemented
340#1639C2×C10111yescharacteristic, complemented
341#1629C2×C10111yescharacteristic, complemented
342#1625C2×C10111yescharacteristic, complemented
343#1624C2×C10111yescharacteristic, complemented
344#1581C2×C10111yescharacteristic, complemented
345#1580C2×C10111yescharacteristic, complemented
346C101#1977111yescharacteristic, direct product factor, Sylow
347C22×D8—21no—
348#555C22×C10111yescharacteristic, complemented
349#547C22×C10111yescharacteristic, complemented
350D42C22×C10111yescharacteristic
351D42C22×C10111yescharacteristic
352#493C22×C10111yescharacteristic
353#492C22×C10111yescharacteristic, complemented
354#487C22×C10111yescharacteristic, complemented
355#486C22×C10111yescharacteristic, complemented
356#486C22×C10111yescharacteristic, complemented
357#486C22×C10111yescharacteristic, complemented
358#485—21no—
359#482—21no—
360#480—21no—
361#476C22×C10111yescharacteristic
362#476C22×C10111yescharacteristic, complemented
363#474C22×C10111yescharacteristic
364#469—21no—
365#466—21no—
366#466—21no—
367#465—21no—
368#461C22×C10111yescharacteristic, complemented
369#459C22×C10111yescharacteristic
370#459C22×C10111yescharacteristic
371#459C22×C10111yescharacteristic, complemented
372#459C22×C10111yescharacteristic, complemented
373#449—21no—
374#447—21no—
375#447—21no—
376#447—21no—
377#447—21no—
378C4×D8C22×C10111yescharacteristic
379C4×D8C22×C10111yescharacteristic
380#436C22×C10111yescharacteristic, complemented
381C8×D4C22×C10111yescharacteristic
382C8×D4C22×C10111yescharacteristic, complemented
383C8×D4C22×C10111yescharacteristic, complemented
384#418—21no—
385#416—21no—
386C2×#102—21no—
387#335C22×C10111yescharacteristic, complemented
388#334C22×C10111yescharacteristic, complemented
389#333C22×C10111yescharacteristic, complemented
390#332C22×C10111yescharacteristic, complemented
391#331C22×C10111yescharacteristic, complemented
392#331C22×C10111yescharacteristic, complemented
393D4⋊C8C22×C10111yescharacteristic
394D4⋊C8C22×C10111yescharacteristic, complemented
395D4⋊C8C22×C10111yescharacteristic, complemented
396D4⋊C8C22×C10111yescharacteristic, complemented
397#322C22×C10111yescharacteristic, complemented
398C2×#41—21no—
399C22×D4—21no—
400C22×D4—21no—
401C22×D4—21no—
402C22×D4—21no—
403C2×SD16—21no—
404C2×SD16—41no—
405C2×D8—21no—
406C2×D8—21no—
407C2×D8—21no—
408C2×D8—21no—
409C2×D8—21no—
410C2×D8—21no—
411C2×D8—44no—
412C2×D8D4×C10111yescharacteristic
413C2×D8D4×C10111yescharacteristic
414C2×M16—21no—
415C22×C8—21no—
416C22×C8—21no—
417C22×C8—21no—
418C4⋊Q8C23×C10111yescharacteristic
419C4⋊Q8C23×C10111yescharacteristic
420#127C23×C10111yescharacteristic
421#127C23×C10111yescharacteristic
422#124—41no—
423#123—41no—
424C22⋊Q8—21no—
425#121—21no—
426#121—21no—
427#121—21no—
428#121—21no—
429#121—21no—
430#121—21no—
431#121—21no—
432#120—41no—
433#120—41no—
434C4×D4C23×C10111yescharacteristic
435C4×D4C23×C10111yescharacteristic
436C4×D4C23×C10111yescharacteristic
437C4×D4C23×C10111yescharacteristic
438#117—21no—
439#117—21no—
440C2×C4⋊C4—21no—
441#107—21no—
442#107D4×C10111yescharacteristic
443#107D4×C10111yescharacteristic
444#106—21no—
445#106—21no—
446C4⋊C8C23×C10111yescharacteristic
447C4⋊C8C23×C10111yescharacteristic
448C4⋊C8C23×C10111yescharacteristic
449C4⋊C8C23×C10111yescharacteristic
450#103—21no—
451#103—21no—
452#103—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—21no—
460#102—21no—
461#102—21no—
462#102—21no—
463#102—21no—
464#102—41no—
465#102D4×C10111yescharacteristic
466#102D4×C10111yescharacteristic
467#102D4×C10111yescharacteristic
468#102D4×C10111yescharacteristic
469C22⋊C8—21no—
470C22⋊C8—21no—
471C22⋊C8—21no—
472C22⋊C8—21no—
473C4×C8C23×C10111yescharacteristic
474C4×C8C23×C10111yescharacteristic
475C4×C8C23×C10111yescharacteristic
476C24—41no—
477C24—41no—
478#41—42no—
479#41—81no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4—41no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—41no—
497C2×D4—41no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4—81no—
501C2×D4—81no—
502C2×D4C2×D4×C10111yescharacteristic
503C2×D4C2×D4×C10111yescharacteristic
504C2×D4C2×D4×C10111yescharacteristic
505C2×D4C2×D4×C10111yescharacteristic
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—41no—
511SD16—81no—
512SD16—82no—
513D8—22no—
514D8—22no—
515D8—42no—
516D8—42no—
517D8—42no—
518D8—81no—
519D8—81no—
520D8—81no—
521M16—81no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—42no—
528C2×C8—81no—
529C2×C8—81no—
530C2×C8C2×D4×C10111yescharacteristic
531C2×C8C2×D4×C10111yescharacteristic
532C2×C8C2×D4×C10111yescharacteristic
533C2×C8C2×D4×C10111yescharacteristic
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—41no—
539C4⋊C4C2×D4×C10111yescharacteristic
540C4⋊C4C2×D4×C10111yescharacteristic
541C4⋊C4C2×D4×C10111yescharacteristic
542C4⋊C4C2×D4×C10111yescharacteristic
543C22⋊C4—21no—
544C22⋊C4—21no—
545C22⋊C4—21no—
546C22⋊C4—21no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C22⋊C4—41no—
552C42—41no—
553C42C24×C10111yescharacteristic
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—41no—
559C23—41no—
560C23—82no—
561C23—82no—
562C23—82no—
563C23—82no—
564C23—161no—
565C23—161no—
566Q8—41no—
567Q8—41no—
568Q8—81no—
569D4—21no—
570D4—21no—
571D4—21no—
572D4—21no—
573D4—21no—
574D4—21no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—81no—
584D4—81no—
585D4—82no—
586D4—82no—
587D4—82no—
588D4—82no—
589D4—82no—
590D4—161no—
591D4#135×C10112yes—
592D4AGL(1,ℤ/8)×C10112yes—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—82no—
608C2×C4C22×D4×C10111yescharacteristic
609C2×C4C22×D4×C10111yescharacteristic
610C2×C4H(5,𝔽2)×C10111yescharacteristic
611C8—21no—
612C8—21no—
613C8—21no—
614C8—21no—
615C8—41no—
616C8—41no—
617C8—41no—
618C8—41no—
619C8—41no—
620C22—22no—
621C22—22no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—164no—
639C22—164no—
640C22D42×C10111yescharacteristic
641C4—21no—
642C4—41no—
643C4—41no—
644C4—41no—
645C4—41no—
646C4—81no—
647C4—81no—
648C4C2×#135×C10111yescharacteristic
649C4C2×AGL(1,ℤ/8)×C10111yescharacteristic
650C4#576×C10111yescharacteristic
651C4#576×C10111yescharacteristic
652C2—42no—
653C2—42no—
654C2—81no—
655C2—81no—
656C2—161no—
657C2—161no—
658C2C101×#326411yescharacteristic
659C2C101×#328011yescharacteristic
660C2C101×#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×#3325C2semidirect
2. C101×#3303C2semidirect
3. C101×#3294C2semidirect
4. D4×D8×C101C2semidirect
5. C101×#1717C2semidirect
6. C101×#1701C2semidirect
7. C101×#1683C2semidirect
8. C101×#1677C2semidirect
9. C101×#1667C2semidirect
10. C101×#1639C2semidirect
11. C101×#1629C2semidirect
12. C101×#1625C2semidirect
13. C101×#1624C2semidirect
14. C101×#1581C2semidirect
15. C101×#1580C2semidirect
17. #555×C101C22semidirect
18. #547×C101C22semidirect
22. #492×C101C22semidirect
23. #487×C101C22semidirect
24. #486×C101C22semidirect
25. #486×C101C22semidirect
26. #486×C101C22semidirect
31. #476×C101C22semidirect
37. #461×C101C22semidirect
40. #459×C101C22semidirect
41. #459×C101C22semidirect
49. #436×C101C22semidirect
51. C8×D4×C101C22semidirect
52. C8×D4×C101C22semidirect
56. #335×C101C22semidirect
57. #334×C101C22semidirect
58. #333×C101C22semidirect
59. #332×C101C22semidirect
60. #331×C101C22semidirect
61. #331×C101C22semidirect
63. D4⋊C8×C101C22semidirect
64. D4⋊C8×C101C22semidirect
65. D4⋊C8×C101C22semidirect
66. #322×C101C22semidirect
321. #19771C101direct (N × H)
331. #3325C2×C101semidirect
332. #3303C2×C101semidirect
333. #3294C2×C101semidirect
334. D4×D8C2×C101semidirect
335. #1717C2×C101semidirect
336. #1701C2×C101semidirect
337. #1683C2×C101semidirect
338. #1677C2×C101semidirect
339. #1667C2×C101semidirect
340. #1639C2×C101semidirect
341. #1629C2×C101semidirect
342. #1625C2×C101semidirect
343. #1624C2×C101semidirect
344. #1581C2×C101semidirect
345. #1580C2×C101semidirect
346. C101#19771direct (N × H)
348. #555C22×C101semidirect
349. #547C22×C101semidirect
353. #492C22×C101semidirect
354. #487C22×C101semidirect
355. #486C22×C101semidirect
356. #486C22×C101semidirect
357. #486C22×C101semidirect
362. #476C22×C101semidirect
368. #461C22×C101semidirect
371. #459C22×C101semidirect
372. #459C22×C101semidirect
380. #436C22×C101semidirect
382. C8×D4C22×C101semidirect
383. C8×D4C22×C101semidirect
387. #335C22×C101semidirect
388. #334C22×C101semidirect
389. #333C22×C101semidirect
390. #332C22×C101semidirect
391. #331C22×C101semidirect
392. #331C22×C101semidirect
394. D4⋊C8C22×C101semidirect
395. D4⋊C8C22×C101semidirect
396. D4⋊C8C22×C101semidirect
397. #322C22×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#33252
C101×#33032
C101×#32942
D4×D8×C1012
C101×#17172
C101×#17012
C101×#16832
C101×#16772
C101×#16672
C101×#16392
C101×#16292
C101×#16252
C101×#16242
C101×#15812
C101×#15802
#19771101