Finite Group Databasebeta

← C101×#24605 #38806756

Subgroups — C101×#24605 #38806756

Order 25856.

870 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#482×C101C211yesmaximal, characteristic
2C2×#431×C101C211yesmaximal, characteristic, complemented
3C101×#2854C211yesmaximal, characteristic
4C101×#2296C211yesmaximal, characteristic, complemented
5C101×#2088C211yesmaximal, characteristic, complemented
6C101×#2087C211yesmaximal, characteristic, complemented
7C101×#2067C211yesmaximal, characteristic, complemented
8C101×#2065C211yesmaximal, characteristic, complemented
9C101×#1942C211yesmaximal, characteristic, complemented
10C101×#1941C211yesmaximal, characteristic, complemented
11C101×#1934C211yesmaximal, characteristic, complemented
12C101×#1934C211yesmaximal, characteristic, complemented
13C101×#1875C211yesmaximal, characteristic
14C101×#1854C211yesmaximal, characteristic, complemented
15C101×#1825C211yesmaximal, characteristic, complemented
16C2×#123×C101—21no—
17C2×#121×C101C2211yescharacteristic
18C2×#117×C101C2211yescharacteristic
19C2×#117×C101C2211yescharacteristic
20C22×C42×C101C2211yescharacteristic
21#482×C101—24no—
22#431×C101—24no—
23C2×#107×C101C2211yescharacteristic
24C2×#107×C101C2211yescharacteristic
25C2×#106×C101C2211yescharacteristic
26C2×#106×C101C2211yescharacteristic
27C2×C4⋊C8×C101C2211yescharacteristic
28C2×C4⋊C8×C101C2211yescharacteristic
29C2×#102×C101C2211yescharacteristic
30C2×#102×C101C2211yescharacteristic
31C2×#102×C101C2211yescharacteristic
32C2×#102×C101C2211yescharacteristic
33C2×C22⋊C8×C101C2211yescharacteristic
34C2×C22⋊C8×C101C2211yescharacteristic
35C2×C4×C8×C101C2211yescharacteristic
36C2×C4×C8×C101C2211yescharacteristic
37#390×C101C2211yescharacteristic
38#390×C101C2211yescharacteristic
39#389×C101C2211yescharacteristic
40#389×C101C2211yescharacteristic
41#389×C101C2211yescharacteristic
42#389×C101C2211yescharacteristic
43#389×C101C2211yescharacteristic
44#389×C101C2211yescharacteristic
45#388×C101—21no—
46#388×C101—21no—
47#386×C101—21no—
48#385×C101—21no—
49#385×C101—21no—
50#380×C101C2211yescharacteristic
51C4×C4⋊C4×C101—21no—
52C4×C4⋊C4×C101—21no—
53#340×C101C2211yescharacteristic
54#340×C101C2211yescharacteristic
55#340×C101C2211yescharacteristic
56#340×C101C2211yescharacteristic
57#340×C101C2211yescharacteristic
58#340×C101C2211yescharacteristic
59#340×C101C2211yescharacteristic
60#340×C101C2211yescharacteristic
61C22×D4×C101—21no—
62C22×D4×C101C2311yescharacteristic
63C23×C4×C101D411yescharacteristic
64C23×C4×C101D411yescharacteristic
65C23×C4×C101C2311yescharacteristic
66C22×C8×C101C2311yescharacteristic
67C22×C8×C101C2311yescharacteristic
68C22×C8×C101C2311yescharacteristic
69C22×C8×C101C2311yescharacteristic
70#123×C101—44no—
71#121×C101—22no—
72#121×C101—22no—
73#117×C101—22no—
74#117×C101—22no—
75#117×C101—22no—
76#117×C101—22no—
77C2×C4⋊C4×C101—21no—
78C2×C4⋊C4×C101—21no—
79C2×C4⋊C4×C101—21no—
80C2×C4⋊C4×C101—21no—
81C2×C4⋊C4×C101—21no—
82C2×C4⋊C4×C101—21no—
83C2×C4⋊C4×C101C2311yescharacteristic
84C2×C4⋊C4×C101C2311yescharacteristic
85C2×C4⋊C4×C101C2311yescharacteristic
86C2×C4⋊C4×C101C2311yescharacteristic
87C2×C4⋊C4×C101C2311yescharacteristic
88C2×C4⋊C4×C101C2311yescharacteristic
89C2×C4⋊C4×C101C2311yescharacteristic
90C2×C22⋊C4×C101—21no—
91C2×C22⋊C4×C101—21no—
92C2×C22⋊C4×C101—21no—
93C2×C22⋊C4×C101—21no—
94C2×C22⋊C4×C101—21no—
95C2×C22⋊C4×C101—21no—
96C2×C22⋊C4×C101—21no—
97C2×C22⋊C4×C101—21no—
98C2×C42×C101—22no—
99C2×C42×C101—21no—
100C2×C42×C101—22no—
101C2×C42×C101—21no—
102C2×C42×C101D411yescharacteristic
103C2×C42×C101D411yescharacteristic
104C2×C42×C101C2311yescharacteristic
105C2×C42×C101C2311yescharacteristic
106#107×C101—22no—
107#107×C101—22no—
108#106×C101—22no—
109#106×C101—22no—
110C4⋊C8×C101—22no—
111C4⋊C8×C101—22no—
112#102×C101—22no—
113#102×C101—22no—
114#102×C101—22no—
115#102×C101—22no—
116C22⋊C8×C101—22no—
117C22⋊C8×C101D414yes—
118C4×C8×C101—22no—
119C4×C8×C101—22no—
120#95×C101—21no—
121#95×C101—21no—
122#95×C101—21no—
123#95×C101—21no—
124#95×C101—21no—
125#95×C101—21no—
126#95×C101—21no—
127C24×C101—21no—
128C24×C101C2×D411yescharacteristic
129C2×D4×C101—21no—
130C2×D4×C101—21no—
131C2×D4×C101—21no—
132C2×D4×C101—21no—
133C2×D4×C101—21no—
134C2×D4×C101—21no—
135C2×D4×C101—42no—
136C2×D4×C101—42no—
137C2×D4×C101—42no—
138C22×C4×C101—22no—
139C22×C4×C101—22no—
140C22×C4×C101—22no—
141C22×C4×C101—21no—
142C22×C4×C101—21no—
143C22×C4×C101—21no—
144C22×C4×C101—21no—
145C22×C4×C101—22no—
146C22×C4×C101—21no—
147C22×C4×C101—21no—
148C22×C4×C101—22no—
149C22×C4×C101—21no—
150C22×C4×C101—21no—
151C22×C4×C101—21no—
152C22×C4×C101—21no—
153C22×C4×C101—21no—
154C22×C4×C101—41no—
155C22×C4×C101C2×D411yescharacteristic
156C22×C4×C101C2×D411yescharacteristic
157C22×C4×C101C2×D412yes—
158C22×C4×C101C2×D411yescharacteristic
159C22×C4×C101C2×D411yescharacteristic
160C22×C4×C101C2×D411yescharacteristic
161C22×C4×C101#4112yes—
162C22×C4×C101C2411yescharacteristic
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×C101C2×D412yes—
174C2×C8×C101C2×D412yes—
175C4⋊C4×C101—21no—
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—42no—
188C4⋊C4×C101—42no—
189C4⋊C4×C101—42no—
190C4⋊C4×C101—42no—
191C4⋊C4×C101—42no—
192C4⋊C4×C101—42no—
193C4⋊C4×C101#4112yes—
194C4⋊C4×C101#4112yes—
195C22⋊C4×C101—24no—
196C22⋊C4×C101—42no—
197C22⋊C4×C101—42no—
198C22⋊C4×C101—42no—
199C22⋊C4×C101—42no—
200C22⋊C4×C101—42no—
201C22⋊C4×C101—42no—
202C22⋊C4×C101—42no—
203C42×C101—24no—
204C42×C101—22no—
205C42×C101—22no—
206C42×C101—21no—
207C42×C101—21no—
208C42×C101—21no—
209C42×C101—21no—
210C42×C101—42no—
211C23×C101—21no—
212C23×C101—21no—
213C23×C101—21no—
214C23×C101—21no—
215C23×C101—21no—
216C23×C101—21no—
217C23×C101—41no—
218C23×C101—41no—
219C23×C101—41no—
220C23×C101—41no—
221C23×C101—41no—
222C23×C101—41no—
223C23×C101—41no—
224C23×C101#12112yes—
225C23×C101C22×D411yescharacteristic
226D4×C101—41no—
227D4×C101—41no—
228D4×C101—41no—
229D4×C101—41no—
230D4×C101—84no—
231C2×C4×C101—28no—
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—21no—
240C2×C4×C101—22no—
241C2×C4×C101—22no—
242C2×C4×C101—22no—
243C2×C4×C101—22no—
244C2×C4×C101—21no—
245C2×C4×C101—22no—
246C2×C4×C101—22no—
247C2×C4×C101—21no—
248C2×C4×C101—21no—
249C2×C4×C101—44no—
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#12112yes—
270C2×C4×C101#13512yes—
271C2×C4×C101#13512yes—
272C2×C4×C101AGL(1,ℤ/8)12yes—
273C2×C4×C101C22×D411yescharacteristic
274C2×C4×C101C2×#4111yescharacteristic
275C2×C4×C101C2×#4111yescharacteristic
276C2×C4×C101C2×#4111yescharacteristic
277C2×C4×C1012−1+411yescharacteristic
278C2×C4×C1012−1+411yescharacteristic
279C8×C101—22no—
280C8×C101—22no—
281C8×C101—41no—
282C8×C101—41no—
283C22×C101—22no—
284C22×C101—22no—
285C22×C101—22no—
286C22×C101—41no—
287C22×C101—41no—
288C22×C101—41no—
289C22×C101—41no—
290C22×C101—81no—
291C22×C101—81no—
292C22×C101—81no—
293C22×C101—81no—
294C22×C101—81no—
295C22×C101—81no—
296C22×C101—81no—
297C22×C101C2×#12111yescharacteristic
298C22×C101#52511yescharacteristic
299C22×C101#53611yescharacteristic
300C22×C101C2×#13511yescharacteristic
301C22×C101C2×#13511yescharacteristic
302C22×C101C2×AGL(1,ℤ/8)11yescharacteristic
303C22×C101#57511yescharacteristic
304C4×C101—22no—
305C4×C101—22no—
306C4×C101—22no—
307C4×C101—22no—
308C4×C101—42no—
309C4×C101—42no—
310C4×C101—41no—
311C4×C101—81no—
312C4×C101—81no—
313C4×C101—81no—
314C4×C101—81no—
315C4×C101—81no—
316C4×C101#54711yescharacteristic
317C4×C101#54711yescharacteristic
318C4×C101#55211yescharacteristic
319C4×C101#55211yescharacteristic
320#24605C10111yesmaximal, characteristic, direct product factor, Sylow
321C2×C101—42no—
322C2×C101—161no—
323C2×C101#241311yescharacteristic
324C2×C101#305011yescharacteristic
325C2×C101#305511yescharacteristic
326C2×C101#310211yescharacteristic
327C2×C101#310611yescharacteristic
328C2×C101#322811yescharacteristic
329C2×C101#323311yescharacteristic
330C2×#482C2×C10111yescharacteristic
331C2×#431C2×C10111yescharacteristic, complemented
332#2854C2×C10111yescharacteristic
333#2296C2×C10111yescharacteristic, complemented
334#2088C2×C10111yescharacteristic, complemented
335#2087C2×C10111yescharacteristic, complemented
336#2067C2×C10111yescharacteristic, complemented
337#2065C2×C10111yescharacteristic, complemented
338#1942C2×C10111yescharacteristic, complemented
339#1941C2×C10111yescharacteristic, complemented
340#1934C2×C10111yescharacteristic, complemented
341#1934C2×C10111yescharacteristic, complemented
342#1875C2×C10111yescharacteristic
343#1854C2×C10111yescharacteristic, complemented
344#1825C2×C10111yescharacteristic, complemented
345C101#2460511yescharacteristic, direct product factor, Sylow
346C2×#123—21no—
347C2×#121C22×C10111yescharacteristic
348C2×#117C22×C10111yescharacteristic
349C2×#117C22×C10111yescharacteristic
350C22×C42C22×C10111yescharacteristic
351#482—24no—
352#431—24no—
353C2×#107C22×C10111yescharacteristic
354C2×#107C22×C10111yescharacteristic
355C2×#106C22×C10111yescharacteristic
356C2×#106C22×C10111yescharacteristic
357C2×C4⋊C8C22×C10111yescharacteristic
358C2×C4⋊C8C22×C10111yescharacteristic
359C2×#102C22×C10111yescharacteristic
360C2×#102C22×C10111yescharacteristic
361C2×#102C22×C10111yescharacteristic
362C2×#102C22×C10111yescharacteristic
363C2×C22⋊C8C22×C10111yescharacteristic
364C2×C22⋊C8C22×C10111yescharacteristic
365C2×C4×C8C22×C10111yescharacteristic
366C2×C4×C8C22×C10111yescharacteristic
367#390C22×C10111yescharacteristic
368#390C22×C10111yescharacteristic
369#389C22×C10111yescharacteristic
370#389C22×C10111yescharacteristic
371#389C22×C10111yescharacteristic
372#389C22×C10111yescharacteristic
373#389C22×C10111yescharacteristic
374#389C22×C10111yescharacteristic
375#388—21no—
376#388—21no—
377#386—21no—
378#385—21no—
379#385—21no—
380#380C22×C10111yescharacteristic
381C4×C4⋊C4—21no—
382C4×C4⋊C4—21no—
383#340C22×C10111yescharacteristic
384#340C22×C10111yescharacteristic
385#340C22×C10111yescharacteristic
386#340C22×C10111yescharacteristic
387#340C22×C10111yescharacteristic
388#340C22×C10111yescharacteristic
389#340C22×C10111yescharacteristic
390#340C22×C10111yescharacteristic
391C22×D4—21no—
392C22×D4C23×C10111yescharacteristic
393C23×C4D4×C10111yescharacteristic
394C23×C4D4×C10111yescharacteristic
395C23×C4C23×C10111yescharacteristic
396C22×C8C23×C10111yescharacteristic
397C22×C8C23×C10111yescharacteristic
398C22×C8C23×C10111yescharacteristic
399C22×C8C23×C10111yescharacteristic
400#123—44no—
401#121—22no—
402#121—22no—
403#117—22no—
404#117—22no—
405#117—22no—
406#117—22no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4C23×C10111yescharacteristic
414C2×C4⋊C4C23×C10111yescharacteristic
415C2×C4⋊C4C23×C10111yescharacteristic
416C2×C4⋊C4C23×C10111yescharacteristic
417C2×C4⋊C4C23×C10111yescharacteristic
418C2×C4⋊C4C23×C10111yescharacteristic
419C2×C4⋊C4C23×C10111yescharacteristic
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C42—21no—
429C2×C42—22no—
430C2×C42—22no—
431C2×C42—21no—
432C2×C42D4×C10111yescharacteristic
433C2×C42D4×C10111yescharacteristic
434C2×C42C23×C10111yescharacteristic
435C2×C42C23×C10111yescharacteristic
436#107—22no—
437#107—22no—
438#106—22no—
439#106—22no—
440C4⋊C8—22no—
441C4⋊C8—22no—
442#102—22no—
443#102—22no—
444#102—22no—
445#102—22no—
446C22⋊C8—22no—
447C22⋊C8D4×C10114yes—
448C4×C8—22no—
449C4×C8—22no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457C24—21no—
458C24C2×D4×C10111yescharacteristic
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—42no—
466C2×D4—42no—
467C2×D4—42no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—22no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—41no—
485C22×C4C2×D4×C10111yescharacteristic
486C22×C4C2×D4×C10111yescharacteristic
487C22×C4C2×D4×C10112yes—
488C22×C4C2×D4×C10111yescharacteristic
489C22×C4C2×D4×C10111yescharacteristic
490C22×C4C2×D4×C10111yescharacteristic
491C22×C4#41×C10112yes—
492C22×C4C24×C10111yescharacteristic
493C2×C8—21no—
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×C8C2×D4×C10112yes—
504C2×C8C2×D4×C10112yes—
505C4⋊C4—21no—
506C4⋊C4—21no—
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—42no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4#41×C10112yes—
524C4⋊C4#41×C10112yes—
525C22⋊C4—24no—
526C22⋊C4—42no—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C42—24no—
534C42—22no—
535C42—22no—
536C42—21no—
537C42—21no—
538C42—21no—
539C42—21no—
540C42—42no—
541C23—21no—
542C23—21no—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23#121×C10112yes—
555C23C22×D4×C10111yescharacteristic
556D4—41no—
557D4—41no—
558D4—41no—
559D4—41no—
560D4—84no—
561C2×C4—28no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—21no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—44no—
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#121×C10112yes—
600C2×C4#135×C10112yes—
601C2×C4#135×C10112yes—
602C2×C4AGL(1,ℤ/8)×C10112yes—
603C2×C4C22×D4×C10111yescharacteristic
604C2×C4C2×#41×C10111yescharacteristic
605C2×C4C2×#41×C10111yescharacteristic
606C2×C4C2×#41×C10111yescharacteristic
607C2×C42−1+4×C10111yescharacteristic
608C2×C42−1+4×C10111yescharacteristic
609C8—22no—
610C8—22no—
611C8—41no—
612C8—41no—
613C22—22no—
614C22—22no—
615C22—22no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22C2×#121×C10111yescharacteristic
628C22#525×C10111yescharacteristic
629C22#536×C10111yescharacteristic
630C22C2×#135×C10111yescharacteristic
631C22C2×#135×C10111yescharacteristic
632C22C2×AGL(1,ℤ/8)×C10111yescharacteristic
633C22#575×C10111yescharacteristic
634C4—22no—
635C4—22no—
636C4—22no—
637C4—22no—
638C4—41no—
639C4—42no—
640C4—42no—
641C4—81no—
642C4—81no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4#547×C10111yescharacteristic
647C4#547×C10111yescharacteristic
648C4#552×C10111yescharacteristic
649C4#552×C10111yescharacteristic
650C2—42no—
651C2—161no—
652C2C101×#241311yescharacteristic
653C2C101×#305011yescharacteristic
654C2C101×#305511yescharacteristic
655C2C101×#310211yescharacteristic
656C2C101×#310611yescharacteristic
657C2C101×#322811yescharacteristic
658C2C101×#323311yescharacteristic
subgroupG/H
center, socleC23×C101C22×D4
commutator, Frattini, cosocleC22×C4C24×C101
prime radicalC2×#121×C101C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C101 ◁ C22×C42×C101 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#431×C101C2semidirect
4. C101×#2296C2semidirect
5. C101×#2088C2semidirect
6. C101×#2087C2semidirect
7. C101×#2067C2semidirect
8. C101×#2065C2semidirect
9. C101×#1942C2semidirect
10. C101×#1941C2semidirect
11. C101×#1934C2semidirect
12. C101×#1934C2semidirect
14. C101×#1854C2semidirect
15. C101×#1825C2semidirect
320. #24605C101direct (N × H)
331. C2×#431C2×C101semidirect
333. #2296C2×C101semidirect
334. #2088C2×C101semidirect
335. #2087C2×C101semidirect
336. #2067C2×C101semidirect
337. #2065C2×C101semidirect
338. #1942C2×C101semidirect
339. #1941C2×C101semidirect
340. #1934C2×C101semidirect
341. #1934C2×C101semidirect
343. #1854C2×C101semidirect
344. #1825C2×C101semidirect
345. C101#24605direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#482×C1012
C2×#431×C1012
C101×#28542
C101×#22962
C101×#20882
C101×#20872
C101×#20672
C101×#20652
C101×#19422
C101×#19412
C101×#19342
C101×#18752
C101×#18542
C101×#18252
#24605101