Finite Group Databasebeta

← C101×#17946 #38800097

Subgroups — C101×#17946 #38800097

Order 25856.

616 conjugacy classes of subgroups.

The subgroup lattice has 606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#3105C211yesmaximal, characteristic
2C101×#2993C211yesmaximal, characteristic, complemented
3C101×#2975C211yesmaximal, characteristic, complemented
4C101×#1594C211yesmaximal, characteristic, complemented
5C101×#1592C211yesmaximal, characteristic, complemented
6C101×#1590C211yesmaximal, characteristic, complemented
7C101×#1589C211yesmaximal, characteristic, complemented
8C101×#1588C211yesmaximal, characteristic, complemented
9C101×#1586C211yesmaximal, characteristic, complemented
10C101×#1583C211yesmaximal, characteristic, complemented
11C101×#1581C211yesmaximal, characteristic, complemented
12C101×#1574C211yesmaximal, characteristic, complemented
13C101×#1486C211yesmaximal, characteristic, complemented
14C101×#1482C211yesmaximal, characteristic, complemented
15C101×#1454C211yesmaximal, characteristic, complemented
16#529×C101C2211yescharacteristic
17C2×C4×D4×C101C2211yescharacteristic
18#484×C101C411yescharacteristic
19#481×C101C411yescharacteristic
20#478×C101C411yescharacteristic
21#478×C101C411yescharacteristic
22#463×C101C411yescharacteristic
23#463×C101C411yescharacteristic
24#450×C101C411yescharacteristic
25#447×C101C411yescharacteristic
26#446×C101C2211yescharacteristic, complemented
27C8×Q8×C101C2211yescharacteristic, complemented
28C4×SD16×C101C2211yescharacteristic
29C4×SD16×C101C2211yescharacteristic
30C4×D8×C101C2211yescharacteristic
31C4×D8×C101C2211yescharacteristic
32#436×C101—21no—
33#436×C101—21no—
34#436×C101—21no—
35#436×C101C2211yescharacteristic
36#436×C101C2211yescharacteristic
37#436×C101C2211yescharacteristic
38#436×C101C2211yescharacteristic
39#436×C101C2211yescharacteristic, complemented
40#435×C101—21no—
41C8×D4×C101C2211yescharacteristic, complemented
42#433×C101—21no—
43#431×C101C2211yescharacteristic
44#431×C101C2211yescharacteristic
45#431×C101C2211yescharacteristic
46#431×C101C2211yescharacteristic
47#424×C101—21no—
48#423×C101C2211yescharacteristic
49#407×C101—21no—
50#407×C101—21no—
51#335×C101C2211yescharacteristic, complemented
52#335×C101C2211yescharacteristic, complemented
53#334×C101C2211yescharacteristic, complemented
54#334×C101C2211yescharacteristic, complemented
55Q8⋊C8×C101C2211yescharacteristic, complemented
56Q8⋊C8×C101C2211yescharacteristic, complemented
57D4⋊C8×C101C2211yescharacteristic
58D4⋊C8×C101C2211yescharacteristic
59D4⋊C8×C101C2211yescharacteristic
60D4⋊C8×C101C2211yescharacteristic
61D4⋊C8×C101C2211yescharacteristic, complemented
62D4⋊C8×C101C2211yescharacteristic, complemented
63#322×C101C2211yescharacteristic, complemented
64#322×C101C2211yescharacteristic, complemented
65#322×C101C2211yescharacteristic, complemented
66C82×C101C2211yescharacteristic, complemented
67C22×D4×C101C2×C411yescharacteristic
68C23×C4×C101—21no—
69C2×SD16×C101C2×C411yescharacteristic
70C2×SD16×C101C2×C411yescharacteristic
71C2×D8×C101C2×C411yescharacteristic
72C2×D8×C101C2×C411yescharacteristic
73C2×M16×C101—21no—
74C2×M16×C101—21no—
75C2×M16×C101—21no—
76C2×M16×C101—21no—
77C2×M16×C101—21no—
78C2×M16×C101—21no—
79C22×C8×C101—21no—
80#126×C101—21no—
81#125×C101C2×C411yescharacteristic
82#124×C101C2×C411yescharacteristic
83#123×C101—21no—
84C22⋊Q8×C101C2×C411yescharacteristic
85#121×C101C2×C411yescharacteristic
86C4×Q8×C101C2311yescharacteristic
87C4×D4×C101—21no—
88C4×D4×C101—21no—
89C4×D4×C101—21no—
90C4×D4×C101C2×C411yescharacteristic
91C4×D4×C101C2×C411yescharacteristic
92C4×D4×C101C2311yescharacteristic
93C4×D4×C101C2311yescharacteristic
94C4×D4×C101C2311yescharacteristic
95#117×C101—21no—
96C2×C4⋊C4×C101C2×C411yescharacteristic
97C2×C22⋊C4×C101—21no—
98C2×C42×C101C2311yescharacteristic
99#107×C101C2×C411yescharacteristic
100#107×C101C2×C411yescharacteristic
101#106×C101C2×C411yescharacteristic
102#106×C101C2×C411yescharacteristic
103C4⋊C8×C101—21no—
104C4⋊C8×C101—21no—
105C4⋊C8×C101—21no—
106C4⋊C8×C101—21no—
107C4⋊C8×C101C2×C411yescharacteristic
108C4⋊C8×C101C2×C411yescharacteristic
109C4⋊C8×C101D411yescharacteristic
110C4⋊C8×C101D411yescharacteristic
111C4⋊C8×C101C2311yescharacteristic
112C4⋊C8×C101C2311yescharacteristic
113C4⋊C8×C101C2311yescharacteristic
114C4⋊C8×C101C2311yescharacteristic
115#103×C101C2×C411yescharacteristic
116#103×C101C2×C411yescharacteristic
117#102×C101C2×C411yescharacteristic
118#102×C101C2×C411yescharacteristic
119#102×C101C2×C411yescharacteristic
120#102×C101C2×C411yescharacteristic
121#102×C101C2×C411yescharacteristic
122#102×C101C2×C411yescharacteristic
123C22⋊C8×C101—21no—
124C22⋊C8×C101—21no—
125C22⋊C8×C101—21no—
126C22⋊C8×C101—21no—
127C22⋊C8×C101—21no—
128C22⋊C8×C101—21no—
129C22⋊C8×C101—21no—
130C22⋊C8×C101—21no—
131C22⋊C8×C101C2×C411yescharacteristic
132C22⋊C8×C101C2×C411yescharacteristic
133C22⋊C8×C101D411yescharacteristic
134C22⋊C8×C101D411yescharacteristic
135#97×C101—21no—
136C4×C8×C101—21no—
137C4×C8×C101—21no—
138C4×C8×C101C2311yescharacteristic
139C4×C8×C101C2311yescharacteristic
140C4×C8×C101C2311yescharacteristic
141C4×C8×C101C2311yescharacteristic
142C4×C8×C101C2311yescharacteristic
143C4×C8×C101C2311yescharacteristic
144C24×C101—21no—
145C2×Q8×C101C22×C411yescharacteristic
146C2×D4×C101—21no—
147C2×D4×C101—21no—
148C2×D4×C101—41no—
149C2×D4×C101—41no—
150C2×D4×C101C22×C411yescharacteristic
151C2×D4×C101C22×C411yescharacteristic
152C2×D4×C101C22×C411yescharacteristic
153C22×C4×C101—21no—
154C22×C4×C101—21no—
155C22×C4×C101—21no—
156C22×C4×C101—21no—
157C22×C4×C101—21no—
158C22×C4×C101—21no—
159C22×C4×C101—81no—
160C22×C4×C101—81no—
161C22×C4×C101C22×C411yescharacteristic
162C22×C4×C101C2×D411yescharacteristic
163C22×C4×C101#4111yescharacteristic
164SD16×C101—41no—
165SD16×C101—41no—
166D8×C101—41no—
167D8×C101—41no—
168M16×C101—81no—
169M16×C101—81no—
170M16×C101—81no—
171M16×C101—81no—
172M16×C101—81no—
173M16×C101—81no—
174C2×C8×C101—21no—
175C2×C8×C101—21no—
176C2×C8×C101—21no—
177C2×C8×C101—21no—
178C2×C8×C101—21no—
179C2×C8×C101—21no—
180C2×C8×C101—81no—
181C2×C8×C101C22×C411yescharacteristic
182C2×C8×C101C22×C411yescharacteristic
183C2×C8×C101C22×C411yescharacteristic
184C2×C8×C101C22×C411yescharacteristic
185C2×C8×C101C2×D411yescharacteristic
186C2×C8×C101C2×D411yescharacteristic
187C2×C8×C101C2×D411yescharacteristic
188C2×C8×C101C2×D411yescharacteristic
189C4⋊C4×C101—21no—
190C4⋊C4×C101—21no—
191C4⋊C4×C101—21no—
192C4⋊C4×C101—21no—
193C4⋊C4×C101—21no—
194C4⋊C4×C101C22×C411yescharacteristic
195C4⋊C4×C101C22×C411yescharacteristic
196C4⋊C4×C101C22×C411yescharacteristic
197C4⋊C4×C101C22×C411yescharacteristic
198C22⋊C4×C101—21no—
199C22⋊C4×C101—21no—
200C22⋊C4×C101—21no—
201C22⋊C4×C101—21no—
202C22⋊C4×C101—21no—
203C22⋊C4×C101—21no—
204C22⋊C4×C101—21no—
205C22⋊C4×C101—21no—
206C22⋊C4×C101—21no—
207C42×C101—21no—
208C42×C101C22×C411yescharacteristic
209C42×C101C2×D411yescharacteristic
210C42×C101#4111yescharacteristic
211C42×C101C2411yescharacteristic
212C23×C101—21no—
213C23×C101—21no—
214C23×C101—21no—
215C23×C101—42no—
216C23×C101—81no—
217C23×C101—81no—
218C23×C101C4×D411yescharacteristic
219Q8×C101—21no—
220Q8×C101—21no—
221D4×C101—21no—
222D4×C101—21no—
223D4×C101—21no—
224D4×C101—21no—
225D4×C101—21no—
226D4×C101—21no—
227D4×C101—42no—
228D4×C101—81no—
229C2×C4×C101—21no—
230C2×C4×C101—21no—
231C2×C4×C101—21no—
232C2×C4×C101—21no—
233C2×C4×C101—21no—
234C2×C4×C101—21no—
235C2×C4×C101—21no—
236C2×C4×C101—21no—
237C2×C4×C101—21no—
238C2×C4×C101—41no—
239C2×C4×C101—41no—
240C2×C4×C101—41no—
241C2×C4×C101—41no—
242C2×C4×C101—41no—
243C2×C4×C101—41no—
244C2×C4×C101—41no—
245C2×C4×C101—81no—
246C2×C4×C101—81no—
247C2×C4×C101—81no—
248C2×C4×C101C4×D411yescharacteristic
249C2×C4×C101C4×D411yescharacteristic
250C2×C4×C101C4×D411yescharacteristic
251C2×C4×C101C23×C411yescharacteristic
252C2×C4×C101C22×D411yescharacteristic
253C2×C4×C101C2×#4111yescharacteristic
254C8×C101—21no—
255C8×C101—21no—
256C8×C101—21no—
257C8×C101—21no—
258C8×C101—21no—
259C8×C101—21no—
260C8×C101—21no—
261C8×C101—21no—
262C8×C101—41no—
263C8×C101—41no—
264C8×C101—41no—
265C8×C101—41no—
266C8×C101—41no—
267C8×C101—41no—
268C22×C101—21no—
269C22×C101—21no—
270C22×C101—21no—
271C22×C101—41no—
272C22×C101—41no—
273C22×C101—41no—
274C22×C101—41no—
275C22×C101—41no—
276C22×C101—41no—
277C22×C101—41no—
278C22×C101—41no—
279C22×C101—41no—
280C22×C101—84no—
281C22×C101C2×C4×D411yescharacteristic
282C4×C101—21no—
283C4×C101—21no—
284C4×C101—21no—
285C4×C101—21no—
286C4×C101—41no—
287C4×C101—41no—
288C4×C101—41no—
289C4×C101—41no—
290C4×C101—41no—
291C4×C101#56811yescharacteristic
292C4×C101#56811yescharacteristic
293C4×C101#57611yescharacteristic
294C4×C101#57711yescharacteristic
295#17946C10111yesmaximal, characteristic, direct product factor, Sylow
296C2×C101—41no—
297C2×C101—81no—
298C2×C101—81no—
299C2×C101—81no—
300C2×C101#293011yescharacteristic
301C2×C101#294611yescharacteristic
302C2×C101#295711yescharacteristic
303#3105C2×C10111yescharacteristic
304#2993C2×C10111yescharacteristic, complemented
305#2975C2×C10111yescharacteristic, complemented
306#1594C2×C10111yescharacteristic, complemented
307#1592C2×C10111yescharacteristic, complemented
308#1590C2×C10111yescharacteristic, complemented
309#1589C2×C10111yescharacteristic, complemented
310#1588C2×C10111yescharacteristic, complemented
311#1586C2×C10111yescharacteristic, complemented
312#1583C2×C10111yescharacteristic, complemented
313#1581C2×C10111yescharacteristic, complemented
314#1574C2×C10111yescharacteristic, complemented
315#1486C2×C10111yescharacteristic, complemented
316#1482C2×C10111yescharacteristic, complemented
317#1454C2×C10111yescharacteristic, complemented
318C101#1794611yescharacteristic, direct product factor, Sylow
319#529C22×C10111yescharacteristic
320C2×C4×D4C22×C10111yescharacteristic
321#484C4×C10111yescharacteristic
322#481C4×C10111yescharacteristic
323#478C4×C10111yescharacteristic
324#478C4×C10111yescharacteristic
325#463C4×C10111yescharacteristic
326#463C4×C10111yescharacteristic
327#450C4×C10111yescharacteristic
328#447C4×C10111yescharacteristic
329#446C22×C10111yescharacteristic, complemented
330C8×Q8C22×C10111yescharacteristic, complemented
331C4×SD16C22×C10111yescharacteristic
332C4×SD16C22×C10111yescharacteristic
333C4×D8C22×C10111yescharacteristic
334C4×D8C22×C10111yescharacteristic
335#436—21no—
336#436—21no—
337#436—21no—
338#436C22×C10111yescharacteristic
339#436C22×C10111yescharacteristic
340#436C22×C10111yescharacteristic
341#436C22×C10111yescharacteristic
342#436C22×C10111yescharacteristic, complemented
343#435—21no—
344C8×D4C22×C10111yescharacteristic, complemented
345#433—21no—
346#431C22×C10111yescharacteristic
347#431C22×C10111yescharacteristic
348#431C22×C10111yescharacteristic
349#431C22×C10111yescharacteristic
350#424—21no—
351#423C22×C10111yescharacteristic
352#407—21no—
353#407—21no—
354#335C22×C10111yescharacteristic, complemented
355#335C22×C10111yescharacteristic, complemented
356#334C22×C10111yescharacteristic, complemented
357#334C22×C10111yescharacteristic, complemented
358Q8⋊C8C22×C10111yescharacteristic, complemented
359Q8⋊C8C22×C10111yescharacteristic, complemented
360D4⋊C8C22×C10111yescharacteristic
361D4⋊C8C22×C10111yescharacteristic
362D4⋊C8C22×C10111yescharacteristic
363D4⋊C8C22×C10111yescharacteristic
364D4⋊C8C22×C10111yescharacteristic, complemented
365D4⋊C8C22×C10111yescharacteristic, complemented
366#322C22×C10111yescharacteristic, complemented
367#322C22×C10111yescharacteristic, complemented
368#322C22×C10111yescharacteristic, complemented
369C82C22×C10111yescharacteristic, complemented
370C22×D4C2×C4×C10111yescharacteristic
371C23×C4—21no—
372C2×SD16C2×C4×C10111yescharacteristic
373C2×SD16C2×C4×C10111yescharacteristic
374C2×D8C2×C4×C10111yescharacteristic
375C2×D8C2×C4×C10111yescharacteristic
376C2×M16—21no—
377C2×M16—21no—
378C2×M16—21no—
379C2×M16—21no—
380C2×M16—21no—
381C2×M16—21no—
382C22×C8—21no—
383#126—21no—
384#125C2×C4×C10111yescharacteristic
385#124C2×C4×C10111yescharacteristic
386#123—21no—
387C22⋊Q8C2×C4×C10111yescharacteristic
388#121C2×C4×C10111yescharacteristic
389C4×Q8C23×C10111yescharacteristic
390C4×D4—21no—
391C4×D4—21no—
392C4×D4—21no—
393C4×D4C2×C4×C10111yescharacteristic
394C4×D4C2×C4×C10111yescharacteristic
395C4×D4C23×C10111yescharacteristic
396C4×D4C23×C10111yescharacteristic
397C4×D4C23×C10111yescharacteristic
398#117—21no—
399C2×C4⋊C4C2×C4×C10111yescharacteristic
400C2×C22⋊C4—21no—
401C2×C42C23×C10111yescharacteristic
402#107C2×C4×C10111yescharacteristic
403#107C2×C4×C10111yescharacteristic
404#106C2×C4×C10111yescharacteristic
405#106C2×C4×C10111yescharacteristic
406C4⋊C8—21no—
407C4⋊C8—21no—
408C4⋊C8—21no—
409C4⋊C8—21no—
410C4⋊C8C2×C4×C10111yescharacteristic
411C4⋊C8C2×C4×C10111yescharacteristic
412C4⋊C8D4×C10111yescharacteristic
413C4⋊C8D4×C10111yescharacteristic
414C4⋊C8C23×C10111yescharacteristic
415C4⋊C8C23×C10111yescharacteristic
416C4⋊C8C23×C10111yescharacteristic
417C4⋊C8C23×C10111yescharacteristic
418#103C2×C4×C10111yescharacteristic
419#103C2×C4×C10111yescharacteristic
420#102C2×C4×C10111yescharacteristic
421#102C2×C4×C10111yescharacteristic
422#102C2×C4×C10111yescharacteristic
423#102C2×C4×C10111yescharacteristic
424#102C2×C4×C10111yescharacteristic
425#102C2×C4×C10111yescharacteristic
426C22⋊C8—21no—
427C22⋊C8—21no—
428C22⋊C8—21no—
429C22⋊C8—21no—
430C22⋊C8—21no—
431C22⋊C8—21no—
432C22⋊C8—21no—
433C22⋊C8—21no—
434C22⋊C8C2×C4×C10111yescharacteristic
435C22⋊C8C2×C4×C10111yescharacteristic
436C22⋊C8D4×C10111yescharacteristic
437C22⋊C8D4×C10111yescharacteristic
438#97—21no—
439C4×C8—21no—
440C4×C8—21no—
441C4×C8C23×C10111yescharacteristic
442C4×C8C23×C10111yescharacteristic
443C4×C8C23×C10111yescharacteristic
444C4×C8C23×C10111yescharacteristic
445C4×C8C23×C10111yescharacteristic
446C4×C8C23×C10111yescharacteristic
447C24—21no—
448C2×Q8C22×C4×C10111yescharacteristic
449C2×D4—21no—
450C2×D4—21no—
451C2×D4—41no—
452C2×D4—41no—
453C2×D4C22×C4×C10111yescharacteristic
454C2×D4C22×C4×C10111yescharacteristic
455C2×D4C22×C4×C10111yescharacteristic
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—81no—
463C22×C4—81no—
464C22×C4C22×C4×C10111yescharacteristic
465C22×C4C2×D4×C10111yescharacteristic
466C22×C4#41×C10111yescharacteristic
467SD16—41no—
468SD16—41no—
469D8—41no—
470D8—41no—
471M16—81no—
472M16—81no—
473M16—81no—
474M16—81no—
475M16—81no—
476M16—81no—
477C2×C8—21no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—81no—
484C2×C8C22×C4×C10111yescharacteristic
485C2×C8C22×C4×C10111yescharacteristic
486C2×C8C22×C4×C10111yescharacteristic
487C2×C8C22×C4×C10111yescharacteristic
488C2×C8C2×D4×C10111yescharacteristic
489C2×C8C2×D4×C10111yescharacteristic
490C2×C8C2×D4×C10111yescharacteristic
491C2×C8C2×D4×C10111yescharacteristic
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—21no—
497C4⋊C4C22×C4×C10111yescharacteristic
498C4⋊C4C22×C4×C10111yescharacteristic
499C4⋊C4C22×C4×C10111yescharacteristic
500C4⋊C4C22×C4×C10111yescharacteristic
501C22⋊C4—21no—
502C22⋊C4—21no—
503C22⋊C4—21no—
504C22⋊C4—21no—
505C22⋊C4—21no—
506C22⋊C4—21no—
507C22⋊C4—21no—
508C22⋊C4—21no—
509C22⋊C4—21no—
510C42—21no—
511C42C22×C4×C10111yescharacteristic
512C42C2×D4×C10111yescharacteristic
513C42#41×C10111yescharacteristic
514C42C24×C10111yescharacteristic
515C23—21no—
516C23—21no—
517C23—21no—
518C23—42no—
519C23—81no—
520C23—81no—
521C23C4×D4×C10111yescharacteristic
522Q8—21no—
523Q8—21no—
524D4—21no—
525D4—21no—
526D4—21no—
527D4—21no—
528D4—21no—
529D4—21no—
530D4—42no—
531D4—81no—
532C2×C4—21no—
533C2×C4—21no—
534C2×C4—21no—
535C2×C4—21no—
536C2×C4—21no—
537C2×C4—21no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—41no—
542C2×C4—41no—
543C2×C4—41no—
544C2×C4—41no—
545C2×C4—41no—
546C2×C4—41no—
547C2×C4—41no—
548C2×C4—81no—
549C2×C4—81no—
550C2×C4—81no—
551C2×C4C4×D4×C10111yescharacteristic
552C2×C4C4×D4×C10111yescharacteristic
553C2×C4C4×D4×C10111yescharacteristic
554C2×C4C23×C4×C10111yescharacteristic
555C2×C4C22×D4×C10111yescharacteristic
556C2×C4C2×#41×C10111yescharacteristic
557C8—21no—
558C8—21no—
559C8—21no—
560C8—21no—
561C8—21no—
562C8—21no—
563C8—21no—
564C8—21no—
565C8—41no—
566C8—41no—
567C8—41no—
568C8—41no—
569C8—41no—
570C8—41no—
571C22—21no—
572C22—21no—
573C22—21no—
574C22—41no—
575C22—41no—
576C22—41no—
577C22—41no—
578C22—41no—
579C22—41no—
580C22—41no—
581C22—41no—
582C22—41no—
583C22—84no—
584C22C2×C4×D4×C10111yescharacteristic
585C4—21no—
586C4—21no—
587C4—21no—
588C4—21no—
589C4—41no—
590C4—41no—
591C4—41no—
592C4—41no—
593C4—41no—
594C4#568×C10111yescharacteristic
595C4#568×C10111yescharacteristic
596C4#576×C10111yescharacteristic
597C4#577×C10111yescharacteristic
598C2—41no—
599C2—81no—
600C2—81no—
601C2—81no—
602C2C101×#293011yescharacteristic
603C2C101×#294611yescharacteristic
604C2C101×#295711yescharacteristic
subgroupG/H
centerC2×C4×C101C22×D4
commutatorC2×C4C23×C4×C101
Frattini, cosocleC42C24×C101
socleC22×C101C2×C4×D4
prime radical#447×C101C4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C101 ◁ #431×C101 ◁ G

Complements

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

NH ≅ G/Ntype
2. C101×#2993C2semidirect
3. C101×#2975C2semidirect
4. C101×#1594C2semidirect
5. C101×#1592C2semidirect
6. C101×#1590C2semidirect
7. C101×#1589C2semidirect
8. C101×#1588C2semidirect
9. C101×#1586C2semidirect
10. C101×#1583C2semidirect
11. C101×#1581C2semidirect
12. C101×#1574C2semidirect
13. C101×#1486C2semidirect
14. C101×#1482C2semidirect
15. C101×#1454C2semidirect
26. #446×C101C22semidirect
27. C8×Q8×C101C22semidirect
39. #436×C101C22semidirect
41. C8×D4×C101C22semidirect
51. #335×C101C22semidirect
52. #335×C101C22semidirect
53. #334×C101C22semidirect
54. #334×C101C22semidirect
55. Q8⋊C8×C101C22semidirect
56. Q8⋊C8×C101C22semidirect
61. D4⋊C8×C101C22semidirect
62. D4⋊C8×C101C22semidirect
63. #322×C101C22semidirect
64. #322×C101C22semidirect
65. #322×C101C22semidirect
66. C82×C101C22semidirect
295. #17946C101direct (N × H)
304. #2993C2×C101semidirect
305. #2975C2×C101semidirect
306. #1594C2×C101semidirect
307. #1592C2×C101semidirect
308. #1590C2×C101semidirect
309. #1589C2×C101semidirect
310. #1588C2×C101semidirect
311. #1586C2×C101semidirect
312. #1583C2×C101semidirect
313. #1581C2×C101semidirect
314. #1574C2×C101semidirect
315. #1486C2×C101semidirect
316. #1482C2×C101semidirect
317. #1454C2×C101semidirect
318. C101#17946direct (N × H)
329. #446C22×C101semidirect
330. C8×Q8C22×C101semidirect
342. #436C22×C101semidirect
344. C8×D4C22×C101semidirect
354. #335C22×C101semidirect
355. #335C22×C101semidirect
356. #334C22×C101semidirect
357. #334C22×C101semidirect
358. Q8⋊C8C22×C101semidirect
359. Q8⋊C8C22×C101semidirect
364. D4⋊C8C22×C101semidirect
365. D4⋊C8C22×C101semidirect
366. #322C22×C101semidirect
367. #322C22×C101semidirect
368. #322C22×C101semidirect
369. C82C22×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#31052
C101×#29932
C101×#29752
C101×#15942
C101×#15922
C101×#15902
C101×#15892
C101×#15882
C101×#15862
C101×#15832
C101×#15812
C101×#15742
C101×#14862
C101×#14822
C101×#14542
#17946101