Finite Group Databasebeta

← C101×#25040 #38807191

Subgroups — C101×#25040 #38807191

Order 25856.

846 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#465×C101C211yesmaximal, characteristic
2C2×#440×C101C211yesmaximal, characteristic, complemented
3C101×#2423C211yesmaximal, characteristic, complemented
4C101×#2420C211yesmaximal, characteristic
5C101×#2074C211yesmaximal, characteristic, complemented
6C101×#2071C211yesmaximal, characteristic, complemented
7C101×#2036C211yesmaximal, characteristic, complemented
8C101×#2034C211yesmaximal, characteristic
9C101×#1973C211yesmaximal, characteristic, complemented
10C101×#1943C211yesmaximal, characteristic, complemented
11C101×#1865C211yesmaximal, characteristic, complemented
12C101×#1862C211yesmaximal, characteristic, complemented
13C101×#1847C211yesmaximal, characteristic, complemented
14C101×#1808C211yesmaximal, characteristic, complemented
15C101×#1752C211yesmaximal, characteristic, complemented
16C22×SD16×C101C2211yescharacteristic
17C23×C8×C101C2211yescharacteristic
18C2×C22⋊Q8×C101C2211yescharacteristic
19C2×#121×C101C2211yescharacteristic
20C2×C4×Q8×C101C2211yescharacteristic
21C2×C4×D4×C101C2211yescharacteristic
22#465×C101—24no—
23#440×C101—24no—
24C2×#107×C101C2211yescharacteristic
25C2×#107×C101C2211yescharacteristic
26C2×#107×C101C2211yescharacteristic
27C2×#106×C101C2211yescharacteristic
28C2×#106×C101C2211yescharacteristic
29C2×#103×C101C2211yescharacteristic
30C2×#103×C101C2211yescharacteristic
31C2×#103×C101C2211yescharacteristic
32C2×#102×C101C2211yescharacteristic
33C2×#102×C101C2211yescharacteristic
34C2×#102×C101C2211yescharacteristic
35C2×C22⋊C8×C101C2211yescharacteristic
36C2×#97×C101C2211yescharacteristic
37C2×#97×C101C2211yescharacteristic
38#399×C101—21no—
39#398×C101—21no—
40#397×C101—21no—
41#394×C101—21no—
42#391×C101C2211yescharacteristic
43#390×C101C2211yescharacteristic
44#389×C101C2211yescharacteristic
45#389×C101C2211yescharacteristic
46#388×C101—21no—
47#387×C101—21no—
48#386×C101—21no—
49#384×C101C2211yescharacteristic
50#382×C101C2211yescharacteristic
51#381×C101—21no—
52#380×C101C2211yescharacteristic
53#380×C101C2211yescharacteristic
54C4×C22⋊C4×C101C2211yescharacteristic
55#340×C101C2211yescharacteristic
56#340×C101C2211yescharacteristic
57#340×C101C2211yescharacteristic
58#340×C101C2211yescharacteristic
59#336×C101C2211yescharacteristic
60#336×C101C2211yescharacteristic
61C22×Q8×C101C2311yescharacteristic
62C22×D4×C101—21no—
63C22×D4×C101C2311yescharacteristic
64C23×C4×C101—21no—
65C23×C4×C101C2311yescharacteristic
66C2×SD16×C101—22no—
67C2×SD16×C101—22no—
68C2×SD16×C101D414yes—
69C22×C8×C101—22no—
70C22×C8×C101—22no—
71C22×C8×C101—22no—
72C22×C8×C101C2311yescharacteristic
73C22×C8×C101C2311yescharacteristic
74C22×C8×C101C2311yescharacteristic
75C22×C8×C101C2311yescharacteristic
76C22⋊Q8×C101—22no—
77C22⋊Q8×C101—41no—
78#121×C101—22no—
79#121×C101—41no—
80C4×Q8×C101—22no—
81C4×Q8×C101—41no—
82C4×D4×C101—22no—
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×C101C2311yescharacteristic
91C2×C4⋊C4×C101C2311yescharacteristic
92C2×C4⋊C4×C101C2311yescharacteristic
93C2×C4⋊C4×C101C2311yescharacteristic
94C2×C4⋊C4×C101C2311yescharacteristic
95C2×C4⋊C4×C101C2311yescharacteristic
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×C101C2311yescharacteristic
107C2×C42×C101C2311yescharacteristic
108#107×C101—22no—
109#107×C101—22no—
110#107×C101—41no—
111#106×C101—22no—
112#106×C101—41no—
113#103×C101—22no—
114#103×C101—22no—
115#103×C101—22no—
116#102×C101—22no—
117#102×C101—22no—
118#102×C101—22no—
119C22⋊C8×C101—22no—
120#97×C101—22no—
121#97×C101—22no—
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×C101—21no—
130#95×C101D411yescharacteristic
131#95×C101D411yescharacteristic
132C24×C101—21no—
133C24×C101C2×D411yescharacteristic
134C2×Q8×C101—21no—
135C2×Q8×C101—21no—
136C2×Q8×C101—21no—
137C2×Q8×C101—21no—
138C2×Q8×C101—21no—
139C2×Q8×C101C2×D412yes—
140C2×D4×C101—21no—
141C2×D4×C101—21no—
142C2×D4×C101—21no—
143C2×D4×C101—21no—
144C2×D4×C101—21no—
145C2×D4×C101—42no—
146C2×D4×C101—42no—
147C2×D4×C101—81no—
148C2×D4×C101C2×D412yes—
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—21no—
156C22×C4×C101—21no—
157C22×C4×C101—21no—
158C22×C4×C101—21no—
159C22×C4×C101—21no—
160C22×C4×C101—21no—
161C22×C4×C101—21no—
162C22×C4×C101—42no—
163C22×C4×C101—42no—
164C22×C4×C101—81no—
165C22×C4×C101C2×D411yescharacteristic
166C22×C4×C101C2×D411yescharacteristic
167C22×C4×C101C2×D411yescharacteristic
168C22×C4×C101C2×D411yescharacteristic
169C22×C4×C101C2×D411yescharacteristic
170C22×C4×C101C2411yescharacteristic
171SD16×C101—28no—
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—44no—
181C2×C8×C101C2×D412yes—
182C2×C8×C101#4112yes—
183C2×C8×C101#4112yes—
184C2×C8×C101#4112yes—
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—21no—
194C4⋊C4×C101—21no—
195C4⋊C4×C101—21no—
196C4⋊C4×C101—21no—
197C4⋊C4×C101—42no—
198C4⋊C4×C101—42no—
199C4⋊C4×C101—42no—
200C4⋊C4×C101—81no—
201C4⋊C4×C101—81no—
202C4⋊C4×C101—81no—
203C22⋊C4×C101—22no—
204C22⋊C4×C101—41no—
205C22⋊C4×C101—42no—
206C22⋊C4×C101—42no—
207C22⋊C4×C101—42no—
208C22⋊C4×C101—81no—
209C22⋊C4×C101—81no—
210C22⋊C4×C101—81no—
211C22⋊C4×C101—81no—
212C42×C101—21no—
213C42×C101—21no—
214C42×C101—21no—
215C42×C101—21no—
216C42×C101—42no—
217C23×C101—21no—
218C23×C101—21no—
219C23×C101—21no—
220C23×C101—21no—
221C23×C101—21no—
222C23×C101—21no—
223C23×C101—22no—
224C23×C101—41no—
225C23×C101—41no—
226C23×C101—41no—
227C23×C101—41no—
228C23×C101—41no—
229C23×C101—41no—
230C23×C101#13712yes—
231C23×C101C22×D411yescharacteristic
232Q8×C101—22no—
233Q8×C101—22no—
234Q8×C101—41no—
235Q8×C101—41no—
236D4×C101—22no—
237D4×C101—22no—
238D4×C101—41no—
239D4×C101—41no—
240D4×C101—84no—
241C2×C4×C101—21no—
242C2×C4×C101—21no—
243C2×C4×C101—21no—
244C2×C4×C101—22no—
245C2×C4×C101—21no—
246C2×C4×C101—21no—
247C2×C4×C101—21no—
248C2×C4×C101—21no—
249C2×C4×C101—21no—
250C2×C4×C101—21no—
251C2×C4×C101—21no—
252C2×C4×C101—21no—
253C2×C4×C101—21no—
254C2×C4×C101—21no—
255C2×C4×C101—21no—
256C2×C4×C101—21no—
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—41no—
274C2×C4×C101—41no—
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—84no—
282C2×C4×C101C22×D411yescharacteristic
283C2×C4×C101C2×#4111yescharacteristic
284C2×C4×C101C2×#4111yescharacteristic
285C2×C4×C101C2×#4111yescharacteristic
286C2×C4×C101H(5,𝔽2)11yescharacteristic
287C2×C4×C1012−1+411yescharacteristic
288C8×C101—22no—
289C8×C101—41no—
290C8×C101—41no—
291C8×C101#12314yes—
292C22×C101—22no—
293C22×C101—22no—
294C22×C101—22no—
295C22×C101—41no—
296C22×C101—41no—
297C22×C101—41no—
298C22×C101—41no—
299C22×C101—42no—
300C22×C101—42no—
301C22×C101—42no—
302C22×C101—81no—
303C22×C101—81no—
304C22×C101—81no—
305C22×C101—81no—
306C22×C101#53211yescharacteristic
307C22×C101D4211yescharacteristic
308C22×C101#54711yescharacteristic
309C22×C101C2×#13711yescharacteristic
310C22×C101#57511yescharacteristic
311C22×C101#57611yescharacteristic
312C22×C101#57711yescharacteristic
313C4×C101—41no—
314C4×C101—41no—
315C4×C101—41no—
316C4×C101—42no—
317C4×C101—41no—
318C4×C101—41no—
319C4×C101—81no—
320C4×C101—81no—
321C4×C101—81no—
322C4×C101—81no—
323C4×C101—81no—
324C4×C101—81no—
325C4×C101C2×#12311yescharacteristic
326C4×C101#54211yescharacteristic
327C4×C101#54711yescharacteristic
328C4×C101#55311yescharacteristic
329#25040C10111yesmaximal, characteristic, direct product factor, Sylow
330C2×C101—42no—
331C2×C101—82no—
332C2×C101#242211yescharacteristic
333C2×C101#317911yescharacteristic
334C2×C101#318111yescharacteristic
335C2×C101#326611yescharacteristic
336C2×C101#326811yescharacteristic
337C2×C101#334611yescharacteristic
338C2×C101#334811yescharacteristic
339C2×#465C2×C10111yescharacteristic
340C2×#440C2×C10111yescharacteristic, complemented
341#2423C2×C10111yescharacteristic, complemented
342#2420C2×C10111yescharacteristic
343#2074C2×C10111yescharacteristic, complemented
344#2071C2×C10111yescharacteristic, complemented
345#2036C2×C10111yescharacteristic, complemented
346#2034C2×C10111yescharacteristic
347#1973C2×C10111yescharacteristic, complemented
348#1943C2×C10111yescharacteristic, complemented
349#1865C2×C10111yescharacteristic, complemented
350#1862C2×C10111yescharacteristic, complemented
351#1847C2×C10111yescharacteristic, complemented
352#1808C2×C10111yescharacteristic, complemented
353#1752C2×C10111yescharacteristic, complemented
354C101#2504011yescharacteristic, direct product factor, Sylow
355C22×SD16C22×C10111yescharacteristic
356C23×C8C22×C10111yescharacteristic
357C2×C22⋊Q8C22×C10111yescharacteristic
358C2×#121C22×C10111yescharacteristic
359C2×C4×Q8C22×C10111yescharacteristic
360C2×C4×D4C22×C10111yescharacteristic
361#465—24no—
362#440—24no—
363C2×#107C22×C10111yescharacteristic
364C2×#107C22×C10111yescharacteristic
365C2×#107C22×C10111yescharacteristic
366C2×#106C22×C10111yescharacteristic
367C2×#106C22×C10111yescharacteristic
368C2×#103C22×C10111yescharacteristic
369C2×#103C22×C10111yescharacteristic
370C2×#103C22×C10111yescharacteristic
371C2×#102C22×C10111yescharacteristic
372C2×#102C22×C10111yescharacteristic
373C2×#102C22×C10111yescharacteristic
374C2×C22⋊C8C22×C10111yescharacteristic
375C2×#97C22×C10111yescharacteristic
376C2×#97C22×C10111yescharacteristic
377#399—21no—
378#398—21no—
379#397—21no—
380#394—21no—
381#391C22×C10111yescharacteristic
382#390C22×C10111yescharacteristic
383#389C22×C10111yescharacteristic
384#389C22×C10111yescharacteristic
385#388—21no—
386#387—21no—
387#386—21no—
388#384C22×C10111yescharacteristic
389#382C22×C10111yescharacteristic
390#381—21no—
391#380C22×C10111yescharacteristic
392#380C22×C10111yescharacteristic
393C4×C22⋊C4C22×C10111yescharacteristic
394#340C22×C10111yescharacteristic
395#340C22×C10111yescharacteristic
396#340C22×C10111yescharacteristic
397#340C22×C10111yescharacteristic
398#336C22×C10111yescharacteristic
399#336C22×C10111yescharacteristic
400C22×Q8C23×C10111yescharacteristic
401C22×D4—21no—
402C22×D4C23×C10111yescharacteristic
403C23×C4—21no—
404C23×C4C23×C10111yescharacteristic
405C2×SD16—22no—
406C2×SD16—22no—
407C2×SD16D4×C10114yes—
408C22×C8—22no—
409C22×C8—22no—
410C22×C8—22no—
411C22×C8C23×C10111yescharacteristic
412C22×C8C23×C10111yescharacteristic
413C22×C8C23×C10111yescharacteristic
414C22×C8C23×C10111yescharacteristic
415C22⋊Q8—22no—
416C22⋊Q8—41no—
417#121—22no—
418#121—41no—
419C4×Q8—22no—
420C4×Q8—41no—
421C4×D4—22no—
422C4×D4—41no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4C23×C10111yescharacteristic
430C2×C4⋊C4C23×C10111yescharacteristic
431C2×C4⋊C4C23×C10111yescharacteristic
432C2×C4⋊C4C23×C10111yescharacteristic
433C2×C4⋊C4C23×C10111yescharacteristic
434C2×C4⋊C4C23×C10111yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4D4×C10111yescharacteristic
443C2×C22⋊C4D4×C10111yescharacteristic
444C2×C42—21no—
445C2×C42C23×C10111yescharacteristic
446C2×C42C23×C10111yescharacteristic
447#107—22no—
448#107—22no—
449#107—41no—
450#106—22no—
451#106—41no—
452#103—22no—
453#103—22no—
454#103—22no—
455#102—22no—
456#102—22no—
457#102—22no—
458C22⋊C8—22no—
459#97—22no—
460#97—22no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95D4×C10111yescharacteristic
470#95D4×C10111yescharacteristic
471C24—21no—
472C24C2×D4×C10111yescharacteristic
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8C2×D4×C10112yes—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—81no—
487C2×D4C2×D4×C10112yes—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—81no—
504C22×C4C2×D4×C10111yescharacteristic
505C22×C4C2×D4×C10111yescharacteristic
506C22×C4C2×D4×C10111yescharacteristic
507C22×C4C2×D4×C10111yescharacteristic
508C22×C4C2×D4×C10111yescharacteristic
509C22×C4C24×C10111yescharacteristic
510SD16—28no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—44no—
520C2×C8C2×D4×C10112yes—
521C2×C8#41×C10112yes—
522C2×C8#41×C10112yes—
523C2×C8#41×C10112yes—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—81no—
540C4⋊C4—81no—
541C4⋊C4—81no—
542C22⋊C4—22no—
543C22⋊C4—41no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—81no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—21no—
555C42—42no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—22no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23#137×C10112yes—
570C23C22×D4×C10111yescharacteristic
571Q8—22no—
572Q8—22no—
573Q8—41no—
574Q8—41no—
575D4—22no—
576D4—22no—
577D4—41no—
578D4—41no—
579D4—84no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
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—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—84no—
621C2×C4C22×D4×C10111yescharacteristic
622C2×C4C2×#41×C10111yescharacteristic
623C2×C4C2×#41×C10111yescharacteristic
624C2×C4C2×#41×C10111yescharacteristic
625C2×C4H(5,𝔽2)×C10111yescharacteristic
626C2×C42−1+4×C10111yescharacteristic
627C8—22no—
628C8—41no—
629C8—41no—
630C8#123×C10114yes—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22#532×C10111yescharacteristic
646C22D42×C10111yescharacteristic
647C22#547×C10111yescharacteristic
648C22C2×#137×C10111yescharacteristic
649C22#575×C10111yescharacteristic
650C22#576×C10111yescharacteristic
651C22#577×C10111yescharacteristic
652C4—41no—
653C4—42no—
654C4—41no—
655C4—41no—
656C4—41no—
657C4—41no—
658C4—81no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4—81no—
664C4C2×#123×C10111yescharacteristic
665C4#542×C10111yescharacteristic
666C4#547×C10111yescharacteristic
667C4#553×C10111yescharacteristic
668C2—42no—
669C2—82no—
670C2C101×#242211yescharacteristic
671C2C101×#317911yescharacteristic
672C2C101×#318111yescharacteristic
673C2C101×#326611yescharacteristic
674C2C101×#326811yescharacteristic
675C2C101×#334611yescharacteristic
676C2C101×#334811yescharacteristic
subgroupG/H
center, socleC23×C101C22×D4
commutator, Frattini, cosocleC22×C4C24×C101
prime radicalC2×#121×C101C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C101 ◁ C4×C22⋊C4×C101 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#440×C101C2semidirect
3. C101×#2423C2semidirect
5. C101×#2074C2semidirect
6. C101×#2071C2semidirect
7. C101×#2036C2semidirect
9. C101×#1973C2semidirect
10. C101×#1943C2semidirect
11. C101×#1865C2semidirect
12. C101×#1862C2semidirect
13. C101×#1847C2semidirect
14. C101×#1808C2semidirect
15. C101×#1752C2semidirect
329. #25040C101direct (N × H)
340. C2×#440C2×C101semidirect
341. #2423C2×C101semidirect
343. #2074C2×C101semidirect
344. #2071C2×C101semidirect
345. #2036C2×C101semidirect
347. #1973C2×C101semidirect
348. #1943C2×C101semidirect
349. #1865C2×C101semidirect
350. #1862C2×C101semidirect
351. #1847C2×C101semidirect
352. #1808C2×C101semidirect
353. #1752C2×C101semidirect
354. C101#25040direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#465×C1012
C2×#440×C1012
C101×#24232
C101×#24202
C101×#20742
C101×#20712
C101×#20362
C101×#20342
C101×#19732
C101×#19432
C101×#18652
C101×#18622
C101×#18472
C101×#18082
C101×#17522
#25040101