Finite Group Databasebeta

← C101×#26207 #38808358

Subgroups — C101×#26207 #38808358

Order 25856.

780 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#2415C211yesmaximal, characteristic
2C101×#2354C211yesmaximal, characteristic
3C101×#2099C211yesmaximal, characteristic, complemented
4C101×#2076C211yesmaximal, characteristic, complemented
5C101×#2072C211yesmaximal, characteristic, complemented
6C101×#2035C211yesmaximal, characteristic, complemented
7C101×#1928C211yesmaximal, characteristic, complemented
8C101×#1919C211yesmaximal, characteristic, complemented
9C101×#1892C211yesmaximal, characteristic, complemented
10C101×#1873C211yesmaximal, characteristic, complemented
11C101×#1873C211yesmaximal, characteristic, complemented
12C101×#1869C211yesmaximal, characteristic
13C101×#1854C211yesmaximal, characteristic, complemented
14C101×#1825C211yesmaximal, characteristic, complemented
15C101×#1735C211yesmaximal, characteristic, complemented
16C23×C8×C101C2211yescharacteristic
17C2×C22⋊Q8×C101C2211yescharacteristic
18C2×C22⋊Q8×C101C2211yescharacteristic
19C2×C4×D4×C101C2211yescharacteristic
20C2×#117×C101C2211yescharacteristic
21C2×#117×C101C2211yescharacteristic
22C2×#117×C101C2211yescharacteristic
23C2×#107×C101C2211yescharacteristic
24C2×#106×C101C2211yescharacteristic
25C2×#103×C101C2211yescharacteristic
26C2×#103×C101C2211yescharacteristic
27C2×#103×C101C2211yescharacteristic
28C2×#103×C101C2211yescharacteristic
29C2×C22⋊C8×C101C2211yescharacteristic
30C2×C22⋊C8×C101C2211yescharacteristic
31C2×C22⋊C8×C101C2211yescharacteristic
32#397×C101—21no—
33#394×C101—21no—
34#391×C101C2211yescharacteristic
35#390×C101—21no—
36#389×C101—21no—
37#389×C101C2211yescharacteristic
38#388×C101—21no—
39#388×C101—21no—
40#388×C101—21no—
41#384×C101C2211yescharacteristic
42#380×C101C2211yescharacteristic
43#380×C101C2211yescharacteristic
44#380×C101C2211yescharacteristic
45C4×C4⋊C4×C101—21no—
46C4×C4⋊C4×C101C2211yescharacteristic
47#340×C101C2211yescharacteristic
48#340×C101C2211yescharacteristic
49#340×C101C2211yescharacteristic
50#340×C101C2211yescharacteristic
51#340×C101C2211yescharacteristic
52#340×C101C2211yescharacteristic
53#340×C101C2211yescharacteristic
54#340×C101C2211yescharacteristic
55#340×C101C2211yescharacteristic
56#340×C101C2211yescharacteristic
57#336×C101C2211yescharacteristic
58#336×C101C2211yescharacteristic
59C22×Q8×C101C2311yescharacteristic
60C22×D4×C101D411yescharacteristic
61C23×C4×C101C2311yescharacteristic
62C23×C4×C101C2311yescharacteristic
63C22×C8×C101—22no—
64C22×C8×C101—41no—
65C22×C8×C101—41no—
66C22×C8×C101C2311yescharacteristic
67C22×C8×C101C2311yescharacteristic
68C22×C8×C101C2311yescharacteristic
69C22×C8×C101C2311yescharacteristic
70C22⋊Q8×C101—22no—
71C22⋊Q8×C101—22no—
72C22⋊Q8×C101—22no—
73C22⋊Q8×C101—41no—
74C4×D4×C101—22no—
75C4×D4×C101—22no—
76#117×C101—22no—
77#117×C101—22no—
78#117×C101—22no—
79#117×C101—41no—
80#117×C101—41no—
81#117×C101—41no—
82C2×C4⋊C4×C101—21no—
83C2×C4⋊C4×C101—21no—
84C2×C4⋊C4×C101—21no—
85C2×C4⋊C4×C101—21no—
86C2×C4⋊C4×C101—21no—
87C2×C4⋊C4×C101D411yescharacteristic
88C2×C4⋊C4×C101C2311yescharacteristic
89C2×C4⋊C4×C101C2311yescharacteristic
90C2×C4⋊C4×C101C2311yescharacteristic
91C2×C4⋊C4×C101C2311yescharacteristic
92C2×C4⋊C4×C101C2311yescharacteristic
93C2×C4⋊C4×C101C2311yescharacteristic
94C2×C4⋊C4×C101C2311yescharacteristic
95C2×C22⋊C4×C101—21no—
96C2×C22⋊C4×C101—21no—
97C2×C22⋊C4×C101—21no—
98C2×C22⋊C4×C101—21no—
99C2×C22⋊C4×C101—21no—
100C2×C22⋊C4×C101—21no—
101C2×C22⋊C4×C101—21no—
102C2×C22⋊C4×C101—21no—
103C2×C22⋊C4×C101D411yescharacteristic
104C2×C22⋊C4×C101D411yescharacteristic
105C2×C42×C101—21no—
106C2×C42×C101—21no—
107C2×C42×C101—21no—
108C2×C42×C101—21no—
109C2×C42×C101C2311yescharacteristic
110#107×C101—41no—
111#106×C101—22no—
112#103×C101—22no—
113#103×C101—41no—
114#103×C101—41no—
115#103×C101—41no—
116C22⋊C8×C101—22no—
117C22⋊C8×C101—41no—
118C22⋊C8×C101—41no—
119#95×C101—21no—
120#95×C101—21no—
121#95×C101—21no—
122#95×C101—21no—
123#95×C101—21no—
124#95×C101—21no—
125#95×C101—21no—
126C24×C101C2×D411yescharacteristic
127C24×C101C2×D411yescharacteristic
128C2×Q8×C101—21no—
129C2×Q8×C101—21no—
130C2×Q8×C101—21no—
131C2×Q8×C101—21no—
132C2×Q8×C101—21no—
133C2×Q8×C101—21no—
134C2×D4×C101—22no—
135C2×D4×C101—22no—
136C2×D4×C101—41no—
137C22×C4×C101—21no—
138C22×C4×C101—21no—
139C22×C4×C101—21no—
140C22×C4×C101—21no—
141C22×C4×C101—21no—
142C22×C4×C101—21no—
143C22×C4×C101—21no—
144C22×C4×C101—21no—
145C22×C4×C101—21no—
146C22×C4×C101—21no—
147C22×C4×C101—21no—
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×C101C2×D411yescharacteristic
156C22×C4×C101C2×D411yescharacteristic
157C22×C4×C101C2×D411yescharacteristic
158C22×C4×C101C2×D411yescharacteristic
159C22×C4×C101#4112yes—
160C22×C4×C101#4112yes—
161C22×C4×C101C2411yescharacteristic
162C2×C8×C101—21no—
163C2×C8×C101—21no—
164C2×C8×C101—21no—
165C2×C8×C101—21no—
166C2×C8×C101—21no—
167C2×C8×C101—21no—
168C2×C8×C101—21no—
169C2×C8×C101—21no—
170C2×C8×C101—21no—
171C2×C8×C101—21no—
172C2×C8×C101—21no—
173C2×C8×C101—21no—
174C2×C8×C101—44no—
175C4⋊C4×C101—22no—
176C4⋊C4×C101—21no—
177C4⋊C4×C101—21no—
178C4⋊C4×C101—21no—
179C4⋊C4×C101—21no—
180C4⋊C4×C101—21no—
181C4⋊C4×C101—21no—
182C4⋊C4×C101—21no—
183C4⋊C4×C101—21no—
184C4⋊C4×C101—21no—
185C4⋊C4×C101—21no—
186C4⋊C4×C101—21no—
187C4⋊C4×C101—21no—
188C4⋊C4×C101—42no—
189C4⋊C4×C101—42no—
190C4⋊C4×C101—42no—
191C4⋊C4×C101—42no—
192C4⋊C4×C101—81no—
193C4⋊C4×C101#4112yes—
194C4⋊C4×C101#4112yes—
195C22⋊C4×C101—22no—
196C22⋊C4×C101—22no—
197C22⋊C4×C101—42no—
198C22⋊C4×C101—42no—
199C22⋊C4×C101—42no—
200C22⋊C4×C101—42no—
201C22⋊C4×C101—42no—
202C22⋊C4×C101—42no—
203C22⋊C4×C101—81no—
204C22⋊C4×C101—81no—
205C42×C101—21no—
206C42×C101—21no—
207C42×C101—42no—
208C42×C101—42no—
209C42×C101—42no—
210C42×C101—42no—
211C23×C101—21no—
212C23×C101—21no—
213C23×C101—21no—
214C23×C101—21no—
215C23×C101—21no—
216C23×C101—21no—
217C23×C101—21no—
218C23×C101—21no—
219C23×C101—21no—
220C23×C101—21no—
221C23×C101—21no—
222C23×C101—21no—
223C23×C101—21no—
224C23×C101#12312yes—
225C23×C101C22×D411yescharacteristic
226Q8×C101—41no—
227Q8×C101—41no—
228Q8×C101—41no—
229Q8×C101—41no—
230D4×C101—44no—
231C2×C4×C101—21no—
232C2×C4×C101—21no—
233C2×C4×C101—21no—
234C2×C4×C101—21no—
235C2×C4×C101—22no—
236C2×C4×C101—22no—
237C2×C4×C101—22no—
238C2×C4×C101—22no—
239C2×C4×C101—21no—
240C2×C4×C101—21no—
241C2×C4×C101—22no—
242C2×C4×C101—21no—
243C2×C4×C101—22no—
244C2×C4×C101—21no—
245C2×C4×C101—21no—
246C2×C4×C101—21no—
247C2×C4×C101—41no—
248C2×C4×C101—41no—
249C2×C4×C101—41no—
250C2×C4×C101—41no—
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—41no—
270C2×C4×C101—41no—
271C2×C4×C101—41no—
272C2×C4×C101—41no—
273C2×C4×C101#12312yes—
274C2×C4×C101#13512yes—
275C2×C4×C101C2×#4111yescharacteristic
276C2×C4×C101C2×#4111yescharacteristic
277C2×C4×C101C2×#4111yescharacteristic
278C2×C4×C101C2×#4111yescharacteristic
279C2×C4×C101H(5,𝔽2)11yescharacteristic
280C2×C4×C101H(5,𝔽2)11yescharacteristic
281C8×C101—41no—
282C8×C101—41no—
283C8×C101—41no—
284C8×C101—41no—
285C22×C101—22no—
286C22×C101—22no—
287C22×C101—22no—
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—41no—
297C22×C101—41no—
298C22×C101—41no—
299C22×C101C2×#12311yescharacteristic
300C22×C101#54611yescharacteristic
301C22×C101#54611yescharacteristic
302C22×C101C2×#13511yescharacteristic
303C22×C101#57511yescharacteristic
304C22×C101#57711yescharacteristic
305C22×C101#57811yescharacteristic
306C4×C101—22no—
307C4×C101—22no—
308C4×C101—41no—
309C4×C101—41no—
310C4×C101—42no—
311C4×C101—42no—
312C4×C101—81no—
313C4×C101—81no—
314C4×C101—81no—
315C4×C101—81no—
316C4×C101—81no—
317C4×C101—81no—
318C4×C101#52911yescharacteristic
319C4×C101#53811yescharacteristic
320C4×C101#55311yescharacteristic
321C4×C101#55311yescharacteristic
322#26207C10111yesmaximal, characteristic, direct product factor, Sylow
323C2×C101—42no—
324C2×C101—81no—
325C2×C101#244411yescharacteristic
326C2×C101#309111yescharacteristic
327C2×C101#309711yescharacteristic
328C2×C101#330211yescharacteristic
329C2×C101#330411yescharacteristic
330C2×C101#331511yescharacteristic
331C2×C101#332111yescharacteristic
332#2415C2×C10111yescharacteristic
333#2354C2×C10111yescharacteristic
334#2099C2×C10111yescharacteristic, complemented
335#2076C2×C10111yescharacteristic, complemented
336#2072C2×C10111yescharacteristic, complemented
337#2035C2×C10111yescharacteristic, complemented
338#1928C2×C10111yescharacteristic, complemented
339#1919C2×C10111yescharacteristic, complemented
340#1892C2×C10111yescharacteristic, complemented
341#1873C2×C10111yescharacteristic, complemented
342#1873C2×C10111yescharacteristic, complemented
343#1869C2×C10111yescharacteristic
344#1854C2×C10111yescharacteristic, complemented
345#1825C2×C10111yescharacteristic, complemented
346#1735C2×C10111yescharacteristic, complemented
347C101#2620711yescharacteristic, direct product factor, Sylow
348C23×C8C22×C10111yescharacteristic
349C2×C22⋊Q8C22×C10111yescharacteristic
350C2×C22⋊Q8C22×C10111yescharacteristic
351C2×C4×D4C22×C10111yescharacteristic
352C2×#117C22×C10111yescharacteristic
353C2×#117C22×C10111yescharacteristic
354C2×#117C22×C10111yescharacteristic
355C2×#107C22×C10111yescharacteristic
356C2×#106C22×C10111yescharacteristic
357C2×#103C22×C10111yescharacteristic
358C2×#103C22×C10111yescharacteristic
359C2×#103C22×C10111yescharacteristic
360C2×#103C22×C10111yescharacteristic
361C2×C22⋊C8C22×C10111yescharacteristic
362C2×C22⋊C8C22×C10111yescharacteristic
363C2×C22⋊C8C22×C10111yescharacteristic
364#397—21no—
365#394—21no—
366#391C22×C10111yescharacteristic
367#390—21no—
368#389—21no—
369#389C22×C10111yescharacteristic
370#388—21no—
371#388—21no—
372#388—21no—
373#384C22×C10111yescharacteristic
374#380C22×C10111yescharacteristic
375#380C22×C10111yescharacteristic
376#380C22×C10111yescharacteristic
377C4×C4⋊C4—21no—
378C4×C4⋊C4C22×C10111yescharacteristic
379#340C22×C10111yescharacteristic
380#340C22×C10111yescharacteristic
381#340C22×C10111yescharacteristic
382#340C22×C10111yescharacteristic
383#340C22×C10111yescharacteristic
384#340C22×C10111yescharacteristic
385#340C22×C10111yescharacteristic
386#340C22×C10111yescharacteristic
387#340C22×C10111yescharacteristic
388#340C22×C10111yescharacteristic
389#336C22×C10111yescharacteristic
390#336C22×C10111yescharacteristic
391C22×Q8C23×C10111yescharacteristic
392C22×D4D4×C10111yescharacteristic
393C23×C4C23×C10111yescharacteristic
394C23×C4C23×C10111yescharacteristic
395C22×C8—22no—
396C22×C8—41no—
397C22×C8—41no—
398C22×C8C23×C10111yescharacteristic
399C22×C8C23×C10111yescharacteristic
400C22×C8C23×C10111yescharacteristic
401C22×C8C23×C10111yescharacteristic
402C22⋊Q8—22no—
403C22⋊Q8—22no—
404C22⋊Q8—22no—
405C22⋊Q8—41no—
406C4×D4—22no—
407C4×D4—22no—
408#117—22no—
409#117—22no—
410#117—22no—
411#117—41no—
412#117—41no—
413#117—41no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4D4×C10111yescharacteristic
420C2×C4⋊C4C23×C10111yescharacteristic
421C2×C4⋊C4C23×C10111yescharacteristic
422C2×C4⋊C4C23×C10111yescharacteristic
423C2×C4⋊C4C23×C10111yescharacteristic
424C2×C4⋊C4C23×C10111yescharacteristic
425C2×C4⋊C4C23×C10111yescharacteristic
426C2×C4⋊C4C23×C10111yescharacteristic
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4D4×C10111yescharacteristic
436C2×C22⋊C4D4×C10111yescharacteristic
437C2×C42—21no—
438C2×C42—21no—
439C2×C42—21no—
440C2×C42—21no—
441C2×C42C23×C10111yescharacteristic
442#107—41no—
443#106—22no—
444#103—22no—
445#103—41no—
446#103—41no—
447#103—41no—
448C22⋊C8—22no—
449C22⋊C8—41no—
450C22⋊C8—41no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458C24C2×D4×C10111yescharacteristic
459C24C2×D4×C10111yescharacteristic
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×D4—22no—
467C2×D4—22no—
468C2×D4—41no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4C2×D4×C10111yescharacteristic
488C22×C4C2×D4×C10111yescharacteristic
489C22×C4C2×D4×C10111yescharacteristic
490C22×C4C2×D4×C10111yescharacteristic
491C22×C4#41×C10112yes—
492C22×C4#41×C10112yes—
493C22×C4C24×C10111yescharacteristic
494C2×C8—21no—
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×C8—21no—
506C2×C8—44no—
507C4⋊C4—22no—
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—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—81no—
525C4⋊C4#41×C10112yes—
526C4⋊C4#41×C10112yes—
527C22⋊C4—22no—
528C22⋊C4—22no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—81no—
536C22⋊C4—81no—
537C42—21no—
538C42—21no—
539C42—42no—
540C42—42no—
541C42—42no—
542C42—42no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23#123×C10112yes—
557C23C22×D4×C10111yescharacteristic
558Q8—41no—
559Q8—41no—
560Q8—41no—
561Q8—41no—
562D4—44no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—21no—
575C2×C4—22no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
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—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
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#123×C10112yes—
606C2×C4#135×C10112yes—
607C2×C4C2×#41×C10111yescharacteristic
608C2×C4C2×#41×C10111yescharacteristic
609C2×C4C2×#41×C10111yescharacteristic
610C2×C4C2×#41×C10111yescharacteristic
611C2×C4H(5,𝔽2)×C10111yescharacteristic
612C2×C4H(5,𝔽2)×C10111yescharacteristic
613C8—41no—
614C8—41no—
615C8—41no—
616C8—41no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22C2×#123×C10111yescharacteristic
632C22#546×C10111yescharacteristic
633C22#546×C10111yescharacteristic
634C22C2×#135×C10111yescharacteristic
635C22#575×C10111yescharacteristic
636C22#577×C10111yescharacteristic
637C22#578×C10111yescharacteristic
638C4—22no—
639C4—22no—
640C4—41no—
641C4—42no—
642C4—42no—
643C4—41no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4#529×C10111yescharacteristic
651C4#538×C10111yescharacteristic
652C4#553×C10111yescharacteristic
653C4#553×C10111yescharacteristic
654C2—42no—
655C2—81no—
656C2C101×#244411yescharacteristic
657C2C101×#309111yescharacteristic
658C2C101×#309711yescharacteristic
659C2C101×#330211yescharacteristic
660C2C101×#330411yescharacteristic
661C2C101×#331511yescharacteristic
662C2C101×#332111yescharacteristic
subgroupG/H
center, socleC23×C101C22×D4
commutator, Frattini, cosocleC22×C4C24×C101
prime radicalC22×D4×C101D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C101 ◁ C2×C4×D4×C101 ◁ G

Complements

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

NH ≅ G/Ntype
3. C101×#2099C2semidirect
4. C101×#2076C2semidirect
5. C101×#2072C2semidirect
6. C101×#2035C2semidirect
7. C101×#1928C2semidirect
8. C101×#1919C2semidirect
9. C101×#1892C2semidirect
10. C101×#1873C2semidirect
11. C101×#1873C2semidirect
13. C101×#1854C2semidirect
14. C101×#1825C2semidirect
15. C101×#1735C2semidirect
322. #26207C101direct (N × H)
334. #2099C2×C101semidirect
335. #2076C2×C101semidirect
336. #2072C2×C101semidirect
337. #2035C2×C101semidirect
338. #1928C2×C101semidirect
339. #1919C2×C101semidirect
340. #1892C2×C101semidirect
341. #1873C2×C101semidirect
342. #1873C2×C101semidirect
344. #1854C2×C101semidirect
345. #1825C2×C101semidirect
346. #1735C2×C101semidirect
347. C101#26207direct (N × H)

Maximal subgroups

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

subgroupindex
C101×#24152
C101×#23542
C101×#20992
C101×#20762
C101×#20722
C101×#20352
C101×#19282
C101×#19192
C101×#18922
C101×#18732
C101×#18692
C101×#18542
C101×#18252
C101×#17352
#26207101