Finite Group Databasebeta

← C101×#26376 #38808527

Subgroups — C101×#26376 #38808527

Order 25856.

900 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#476×C101C211yesmaximal, characteristic
2C2×C4×SD16×C101C211yesmaximal, characteristic
3C101×#2451C211yesmaximal, characteristic, complemented
4D4×C4⋊C4×C101C211yesmaximal, characteristic
5C101×#2096C211yesmaximal, characteristic, complemented
6C101×#2084C211yesmaximal, characteristic, complemented
7C101×#2066C211yesmaximal, characteristic, complemented
8C101×#2058C211yesmaximal, characteristic, complemented
9C101×#1941C211yesmaximal, characteristic, complemented
10C101×#1916C211yesmaximal, characteristic, complemented
11C101×#1877C211yesmaximal, characteristic
12C101×#1877C211yesmaximal, characteristic
13C101×#1865C211yesmaximal, characteristic, complemented
14C101×#1864C211yesmaximal, characteristic
15C101×#1864C211yesmaximal, characteristic
16C22×SD16×C101C2211yescharacteristic
17C2×C4⋊Q8×C101C2211yescharacteristic
18C2×C4×Q8×C101C2211yescharacteristic
19C2×C4×D4×C101C2211yescharacteristic
20C2×C4×D4×C101C2211yescharacteristic
21C2×C4×D4×C101C2211yescharacteristic
22C22×C4⋊C4×C101—21no—
23#476×C101—24no—
24C4×SD16×C101—24no—
25C2×#106×C101C2211yescharacteristic
26C2×#106×C101C2211yescharacteristic
27C2×#106×C101C2211yescharacteristic
28C2×#106×C101C2211yescharacteristic
29C2×#106×C101C2211yescharacteristic
30C2×C4⋊C8×C101C2211yescharacteristic
31C2×#103×C101C2211yescharacteristic
32C2×#103×C101C2211yescharacteristic
33C2×#103×C101C2211yescharacteristic
34C2×#102×C101C2211yescharacteristic
35C2×#102×C101C2211yescharacteristic
36C2×#102×C101C2211yescharacteristic
37C2×C4×C8×C101C2211yescharacteristic
38#398×C101—21no—
39#395×C101—21no—
40#391×C101—21no—
41#391×C101C2211yescharacteristic
42#391×C101C2211yescharacteristic
43#389×C101C2211yescharacteristic
44#389×C101C2211yescharacteristic
45#389×C101C2211yescharacteristic
46#389×C101C2211yescharacteristic
47#387×C101—21no—
48#385×C101—21no—
49#385×C101—21no—
50#384×C101C2211yescharacteristic
51#380×C101—21no—
52C4×C4⋊C4×C101C2211yescharacteristic
53#340×C101C2211yescharacteristic
54#340×C101C2211yescharacteristic
55#340×C101C2211yescharacteristic
56#340×C101C2211yescharacteristic
57#336×C101C2211yescharacteristic
58#336×C101C2211yescharacteristic
59#336×C101C2211yescharacteristic
60#336×C101C2211yescharacteristic
61C22×Q8×C101—21no—
62C22×Q8×C101C2311yescharacteristic
63C22×D4×C101C2311yescharacteristic
64C23×C4×C101—21no—
65C23×C4×C101—21no—
66C23×C4×C101—21no—
67C2×SD16×C101—22no—
68C2×SD16×C101—22no—
69C2×SD16×C101Q814yescomplemented
70C22×C8×C101C2311yescharacteristic
71C22×C8×C101C2311yescharacteristic
72C22×C8×C101C2311yescharacteristic
73C22×C8×C101C2311yescharacteristic
74C4⋊Q8×C101—22no—
75C4⋊Q8×C101—41no—
76C4×Q8×C101—22no—
77C4×Q8×C101—41no—
78C4×D4×C101—22no—
79C4×D4×C101—22no—
80C4×D4×C101—22no—
81C4×D4×C101—22no—
82C4×D4×C101—41no—
83C4×D4×C101—41no—
84C2×C4⋊C4×C101—21no—
85C2×C4⋊C4×C101—21no—
86C2×C4⋊C4×C101—21no—
87C2×C4⋊C4×C101—21no—
88C2×C4⋊C4×C101—21no—
89C2×C4⋊C4×C101—21no—
90C2×C4⋊C4×C101—21no—
91C2×C4⋊C4×C101—21no—
92C2×C4⋊C4×C101—44no—
93C2×C4⋊C4×C101D411yescharacteristic
94C2×C4⋊C4×C101D411yescharacteristic
95C2×C4⋊C4×C101C2311yescharacteristic
96C2×C4⋊C4×C101C2311yescharacteristic
97C2×C4⋊C4×C101C2311yescharacteristic
98C2×C4⋊C4×C101C2311yescharacteristic
99C2×C4⋊C4×C101C2311yescharacteristic
100C2×C4⋊C4×C101C2311yescharacteristic
101C2×C22⋊C4×C101—21no—
102C2×C22⋊C4×C101—21no—
103C2×C22⋊C4×C101—21no—
104C2×C42×C101—21no—
105C2×C42×C101C2311yescharacteristic
106C2×C42×C101C2311yescharacteristic
107C2×C42×C101C2311yescharacteristic
108#106×C101—22no—
109#106×C101—22no—
110#106×C101—22no—
111#106×C101—22no—
112#106×C101—41no—
113C4⋊C8×C101—22no—
114#103×C101—22no—
115#103×C101—22no—
116#103×C101—41no—
117#102×C101—22no—
118#102×C101—22no—
119#102×C101D414yes—
120C4×C8×C101—22no—
121#95×C101—21no—
122#95×C101—21no—
123#95×C101—21no—
124#95×C101—21no—
125#95×C101—21no—
126#95×C101—21no—
127#95×C101—21no—
128#95×C101—21no—
129#95×C101D411yescharacteristic
130#95×C101D411yescharacteristic
131C24×C101—21no—
132C2×Q8×C101—21no—
133C2×Q8×C101—21no—
134C2×Q8×C101—21no—
135C2×Q8×C101—21no—
136C2×Q8×C101—21no—
137C2×Q8×C101—42no—
138C2×Q8×C101—42no—
139C2×Q8×C101—81no—
140C2×Q8×C101C2×Q812yes—
141C2×D4×C101—21no—
142C2×D4×C101—21no—
143C2×D4×C101—21no—
144C2×D4×C101C2×D412yes—
145C2×D4×C101C2×Q812yes—
146C2×D4×C101#4112yes—
147C22×C4×C101—24no—
148C22×C4×C101—21no—
149C22×C4×C101—21no—
150C22×C4×C101—21no—
151C22×C4×C101—21no—
152C22×C4×C101—21no—
153C22×C4×C101—21no—
154C22×C4×C101—21no—
155C22×C4×C101—42no—
156C22×C4×C101—42no—
157C22×C4×C101—42no—
158C22×C4×C101—42no—
159C22×C4×C101—42no—
160C22×C4×C101—42no—
161C22×C4×C101—81no—
162C22×C4×C101—81no—
163C22×C4×C101C2×D411yescharacteristic
164C22×C4×C101C2×D411yescharacteristic
165C22×C4×C101C2×D411yescharacteristic
166C22×C4×C101C2×D411yescharacteristic
167C22×C4×C101C2×D411yescharacteristic
168C22×C4×C101C2×D411yescharacteristic
169C22×C4×C101C2411yescharacteristic
170SD16×C101—28no—
171C2×C8×C101—21no—
172C2×C8×C101—21no—
173C2×C8×C101—21no—
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—21no—
181C2×C8×C101C2×D412yes—
182C2×C8×C101C2×Q812yes—
183C4⋊C4×C101—21no—
184C4⋊C4×C101—21no—
185C4⋊C4×C101—21no—
186C4⋊C4×C101—21no—
187C4⋊C4×C101—21no—
188C4⋊C4×C101—21no—
189C4⋊C4×C101—21no—
190C4⋊C4×C101—21no—
191C4⋊C4×C101—21no—
192C4⋊C4×C101—21no—
193C4⋊C4×C101—41no—
194C4⋊C4×C101—42no—
195C4⋊C4×C101—42no—
196C4⋊C4×C101—42no—
197C4⋊C4×C101—42no—
198C4⋊C4×C101—42no—
199C4⋊C4×C101—81no—
200C4⋊C4×C101—81no—
201C4⋊C4×C101—81no—
202C4⋊C4×C101SD1614yescomplemented
203C4⋊C4×C101C2×D412yes—
204C4⋊C4×C101#4112yes—
205C22⋊C4×C101—24no—
206C22⋊C4×C101—42no—
207C22⋊C4×C101—42no—
208C42×C101—21no—
209C42×C101—21no—
210C42×C101—21no—
211C42×C101—21no—
212C42×C101—21no—
213C42×C101—21no—
214C42×C101—42no—
215C23×C101—22no—
216C23×C101—22no—
217C23×C101—22no—
218C23×C101—41no—
219C23×C101—41no—
220C23×C101—41no—
221C23×C101—41no—
222C23×C101C22×D411yescharacteristic
223Q8×C101—22no—
224Q8×C101—22no—
225Q8×C101—41no—
226Q8×C101—41no—
227Q8×C101—84no—
228D4×C101—22no—
229D4×C101—22no—
230D4×C101—22no—
231D4×C101C22⋊Q814yes—
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—21no—
239C2×C4×C101—22no—
240C2×C4×C101—21no—
241C2×C4×C101—21no—
242C2×C4×C101—22no—
243C2×C4×C101—22no—
244C2×C4×C101—21no—
245C2×C4×C101—21no—
246C2×C4×C101—21no—
247C2×C4×C101—21no—
248C2×C4×C101—21no—
249C2×C4×C101—21no—
250C2×C4×C101—48no—
251C2×C4×C101—41no—
252C2×C4×C101—41no—
253C2×C4×C101—41no—
254C2×C4×C101—41no—
255C2×C4×C101—41no—
256C2×C4×C101—41no—
257C2×C4×C101—41no—
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—84no—
270C2×C4×C101—84no—
271C2×C4×C101C2×SD1612yes—
272C2×C4×C101C2×SD1612yes—
273C2×C4×C101C2×SD1612yes—
274C2×C4×C101C22×D411yescharacteristic
275C2×C4×C101C22×Q811yescharacteristic
276C2×C4×C101C2×#4111yescharacteristic
277C2×C4×C101C2×#4111yescharacteristic
278C2×C4×C101H(5,𝔽2)11yescharacteristic
279C2×C4×C1012−1+411yescharacteristic
280C8×C101—22no—
281C8×C101—22no—
282C8×C101—41no—
283C8×C101—41no—
284C22×C101—24no—
285C22×C101—42no—
286C22×C101—42no—
287C22×C101—42no—
288C22×C101—42no—
289C22×C101—42no—
290C22×C101—42no—
291C22×C101#52511yescharacteristic
292C22×C101D4211yescharacteristic
293C22×C101D4×Q811yescharacteristic
294C22×C101C22×SD1611yescharacteristic
295C22×C101#57511yescharacteristic
296C22×C101#57711yescharacteristic
297C22×C101#57711yescharacteristic
298C4×C101—22no—
299C4×C101—22no—
300C4×C101—22no—
301C4×C101—42no—
302C4×C101—41no—
303C4×C101—42no—
304C4×C101—41no—
305C4×C101—41no—
306C4×C101—42no—
307C4×C101—81no—
308C4×C101—81no—
309C4×C101—81no—
310C4×C101—81no—
311C4×C101C2×C22⋊Q811yescharacteristic
312C4×C101#53911yescharacteristic
313C4×C101#54711yescharacteristic
314C4×C101#55411yescharacteristic
315#26376C10111yesmaximal, characteristic, direct product factor, Sylow
316C2×C101—44no—
317C2×C101#244911yescharacteristic
318C2×C101#310111yescharacteristic
319C2×C101#312511yescharacteristic
320C2×C101#326711yescharacteristic
321C2×C101D4×SD1611yescharacteristic
322C2×C101Q8×SD1611yescharacteristic
323C2×C101#338811yescharacteristic
324C2×#476C2×C10111yescharacteristic
325C2×C4×SD16C2×C10111yescharacteristic
326#2451C2×C10111yescharacteristic, complemented
327D4×C4⋊C4C2×C10111yescharacteristic
328#2096C2×C10111yescharacteristic, complemented
329#2084C2×C10111yescharacteristic, complemented
330#2066C2×C10111yescharacteristic, complemented
331#2058C2×C10111yescharacteristic, complemented
332#1941C2×C10111yescharacteristic, complemented
333#1916C2×C10111yescharacteristic, complemented
334#1877C2×C10111yescharacteristic
335#1877C2×C10111yescharacteristic
336#1865C2×C10111yescharacteristic, complemented
337#1864C2×C10111yescharacteristic
338#1864C2×C10111yescharacteristic
339C101#2637611yescharacteristic, direct product factor, Sylow
340C22×SD16C22×C10111yescharacteristic
341C2×C4⋊Q8C22×C10111yescharacteristic
342C2×C4×Q8C22×C10111yescharacteristic
343C2×C4×D4C22×C10111yescharacteristic
344C2×C4×D4C22×C10111yescharacteristic
345C2×C4×D4C22×C10111yescharacteristic
346C22×C4⋊C4—21no—
347#476—24no—
348C4×SD16—24no—
349C2×#106C22×C10111yescharacteristic
350C2×#106C22×C10111yescharacteristic
351C2×#106C22×C10111yescharacteristic
352C2×#106C22×C10111yescharacteristic
353C2×#106C22×C10111yescharacteristic
354C2×C4⋊C8C22×C10111yescharacteristic
355C2×#103C22×C10111yescharacteristic
356C2×#103C22×C10111yescharacteristic
357C2×#103C22×C10111yescharacteristic
358C2×#102C22×C10111yescharacteristic
359C2×#102C22×C10111yescharacteristic
360C2×#102C22×C10111yescharacteristic
361C2×C4×C8C22×C10111yescharacteristic
362#398—21no—
363#395—21no—
364#391—21no—
365#391C22×C10111yescharacteristic
366#391C22×C10111yescharacteristic
367#389C22×C10111yescharacteristic
368#389C22×C10111yescharacteristic
369#389C22×C10111yescharacteristic
370#389C22×C10111yescharacteristic
371#387—21no—
372#385—21no—
373#385—21no—
374#384C22×C10111yescharacteristic
375#380—21no—
376C4×C4⋊C4C22×C10111yescharacteristic
377#340C22×C10111yescharacteristic
378#340C22×C10111yescharacteristic
379#340C22×C10111yescharacteristic
380#340C22×C10111yescharacteristic
381#336C22×C10111yescharacteristic
382#336C22×C10111yescharacteristic
383#336C22×C10111yescharacteristic
384#336C22×C10111yescharacteristic
385C22×Q8—21no—
386C22×Q8C23×C10111yescharacteristic
387C22×D4C23×C10111yescharacteristic
388C23×C4—21no—
389C23×C4—21no—
390C23×C4—21no—
391C2×SD16—22no—
392C2×SD16—22no—
393C2×SD16Q8×C10114yescomplemented
394C22×C8C23×C10111yescharacteristic
395C22×C8C23×C10111yescharacteristic
396C22×C8C23×C10111yescharacteristic
397C22×C8C23×C10111yescharacteristic
398C4⋊Q8—22no—
399C4⋊Q8—41no—
400C4×Q8—22no—
401C4×Q8—41no—
402C4×D4—22no—
403C4×D4—22no—
404C4×D4—22no—
405C4×D4—22no—
406C4×D4—41no—
407C4×D4—41no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—44no—
417C2×C4⋊C4D4×C10111yescharacteristic
418C2×C4⋊C4D4×C10111yescharacteristic
419C2×C4⋊C4C23×C10111yescharacteristic
420C2×C4⋊C4C23×C10111yescharacteristic
421C2×C4⋊C4C23×C10111yescharacteristic
422C2×C4⋊C4C23×C10111yescharacteristic
423C2×C4⋊C4C23×C10111yescharacteristic
424C2×C4⋊C4C23×C10111yescharacteristic
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C42—21no—
429C2×C42C23×C10111yescharacteristic
430C2×C42C23×C10111yescharacteristic
431C2×C42C23×C10111yescharacteristic
432#106—22no—
433#106—22no—
434#106—22no—
435#106—22no—
436#106—41no—
437C4⋊C8—22no—
438#103—22no—
439#103—22no—
440#103—41no—
441#102—22no—
442#102—22no—
443#102D4×C10114yes—
444C4×C8—22no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95D4×C10111yescharacteristic
454#95D4×C10111yescharacteristic
455C24—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—81no—
464C2×Q8C2×Q8×C10112yes—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4C2×D4×C10112yes—
469C2×D4C2×Q8×C10112yes—
470C2×D4#41×C10112yes—
471C22×C4—24no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—81no—
486C22×C4—81no—
487C22×C4C2×D4×C10111yescharacteristic
488C22×C4C2×D4×C10111yescharacteristic
489C22×C4C2×D4×C10111yescharacteristic
490C22×C4C2×D4×C10111yescharacteristic
491C22×C4C2×D4×C10111yescharacteristic
492C22×C4C2×D4×C10111yescharacteristic
493C22×C4C24×C10111yescharacteristic
494SD16—28no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8C2×D4×C10112yes—
506C2×C8C2×Q8×C10112yes—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—41no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4—81no—
524C4⋊C4—81no—
525C4⋊C4—81no—
526C4⋊C4SD16×C10114yescomplemented
527C4⋊C4C2×D4×C10112yes—
528C4⋊C4#41×C10112yes—
529C22⋊C4—24no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—21no—
536C42—21no—
537C42—21no—
538C42—42no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23C22×D4×C10111yescharacteristic
547Q8—22no—
548Q8—22no—
549Q8—41no—
550Q8—41no—
551Q8—84no—
552D4—22no—
553D4—22no—
554D4—22no—
555D4C22⋊Q8×C10114yes—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—22no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—48no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
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—41no—
592C2×C4—41no—
593C2×C4—84no—
594C2×C4—84no—
595C2×C4C2×SD16×C10112yes—
596C2×C4C2×SD16×C10112yes—
597C2×C4C2×SD16×C10112yes—
598C2×C4C22×D4×C10111yescharacteristic
599C2×C4C22×Q8×C10111yescharacteristic
600C2×C4C2×#41×C10111yescharacteristic
601C2×C4C2×#41×C10111yescharacteristic
602C2×C4H(5,𝔽2)×C10111yescharacteristic
603C2×C42−1+4×C10111yescharacteristic
604C8—22no—
605C8—22no—
606C8—41no—
607C8—41no—
608C22—24no—
609C22—42no—
610C22—42no—
611C22—42no—
612C22—42no—
613C22—42no—
614C22—42no—
615C22#525×C10111yescharacteristic
616C22D42×C10111yescharacteristic
617C22D4×Q8×C10111yescharacteristic
618C22C22×SD16×C10111yescharacteristic
619C22#575×C10111yescharacteristic
620C22#577×C10111yescharacteristic
621C22#577×C10111yescharacteristic
622C4—22no—
623C4—22no—
624C4—22no—
625C4—42no—
626C4—41no—
627C4—41no—
628C4—42no—
629C4—42no—
630C4—41no—
631C4—81no—
632C4—81no—
633C4—81no—
634C4—81no—
635C4C2×C22⋊Q8×C10111yescharacteristic
636C4#539×C10111yescharacteristic
637C4#547×C10111yescharacteristic
638C4#554×C10111yescharacteristic
639C2—44no—
640C2C101×#244911yescharacteristic
641C2C101×#310111yescharacteristic
642C2C101×#312511yescharacteristic
643C2C101×#326711yescharacteristic
644C2D4×SD16×C10111yescharacteristic
645C2Q8×SD16×C10111yescharacteristic
646C2C101×#338811yescharacteristic
subgroupG/H
center, socleC23×C101C22×D4
commutator, Frattini, cosocleC22×C4C24×C101
prime radicalC22×D4×C101C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C101 ◁ C4×C4⋊C4×C101 ◁ G

Complements

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

NH ≅ G/Ntype
3. C101×#2451C2semidirect
5. C101×#2096C2semidirect
6. C101×#2084C2semidirect
7. C101×#2066C2semidirect
8. C101×#2058C2semidirect
9. C101×#1941C2semidirect
10. C101×#1916C2semidirect
13. C101×#1865C2semidirect
69. C2×SD16×C101Q8semidirect
202. C4⋊C4×C101SD16semidirect
315. #26376C101direct (N × H)
326. #2451C2×C101semidirect
328. #2096C2×C101semidirect
329. #2084C2×C101semidirect
330. #2066C2×C101semidirect
331. #2058C2×C101semidirect
332. #1941C2×C101semidirect
333. #1916C2×C101semidirect
336. #1865C2×C101semidirect
339. C101#26376direct (N × H)
393. C2×SD16Q8×C101semidirect
526. C4⋊C4SD16×C101semidirect

Maximal subgroups

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

subgroupindex
C2×#476×C1012
C2×C4×SD16×C1012
C101×#24512
D4×C4⋊C4×C1012
C101×#20962
C101×#20842
C101×#20662
C101×#20582
C101×#19412
C101×#19162
C101×#18772
C101×#18652
C101×#18642
#26376101