Finite Group Databasebeta

← C101×#26340 #38808491

Subgroups — C101×#26340 #38808491

Order 25856.

882 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#475×C101C211yesmaximal, characteristic, complemented
2C22×#106×C101C211yesmaximal, characteristic
3C101×#2440C211yesmaximal, characteristic
4C101×#2360C211yesmaximal, characteristic
5C101×#2096C211yesmaximal, characteristic, complemented
6C101×#2088C211yesmaximal, characteristic, complemented
7C101×#2066C211yesmaximal, characteristic, complemented
8C101×#2058C211yesmaximal, characteristic, complemented
9C101×#1948C211yesmaximal, characteristic, complemented
10C101×#1919C211yesmaximal, characteristic, complemented
11C101×#1892C211yesmaximal, characteristic
12C101×#1872C211yesmaximal, characteristic
13C101×#1865C211yesmaximal, characteristic, complemented
14C101×#1853C211yesmaximal, characteristic
15C101×#1850C211yesmaximal, characteristic
16C23×C8×C101C2211yescharacteristic
17C2×C4⋊Q8×C101C2211yescharacteristic
18C2×C22⋊Q8×C101—21no—
19C2×C22⋊Q8×C101C2211yescharacteristic
20C2×C4×Q8×C101C2211yescharacteristic
21C22×C4⋊C4×C101C2211yescharacteristic
22C22×C4⋊C4×C101C2211yescharacteristic
23#475×C101—24no—
24C2×#106×C101—24no—
25C2×#106×C101C2211yescharacteristic
26C2×#106×C101C2211yescharacteristic
27C2×#106×C101C2211yescharacteristic
28C2×#106×C101C2211yescharacteristic
29C2×#106×C101C2211yescharacteristic
30C2×#106×C101C2211yescharacteristic
31C2×C4⋊C8×C101C2211yescharacteristic
32C2×C4⋊C8×C101C2211yescharacteristic
33C2×#103×C101C2211yescharacteristic
34C2×#103×C101C2211yescharacteristic
35C2×#103×C101C2211yescharacteristic
36C2×#103×C101C2211yescharacteristic
37C2×C22⋊C8×C101C2211yescharacteristic
38#398×C101—21no—
39#395×C101—21no—
40#391×C101C2211yescharacteristic
41#389×C101—21no—
42#389×C101C2211yescharacteristic
43#389×C101C2211yescharacteristic
44#389×C101C2211yescharacteristic
45#387×C101—21no—
46#385×C101—21no—
47#385×C101—21no—
48#384×C101C2211yescharacteristic
49#380×C101C2211yescharacteristic
50C4×C4⋊C4×C101C2211yescharacteristic
51C4×C22⋊C4×C101—21no—
52C4×C22⋊C4×C101C2211yescharacteristic
53#340×C101C2211yescharacteristic
54#340×C101C2211yescharacteristic
55#340×C101C2211yescharacteristic
56#340×C101C2211yescharacteristic
57#340×C101C2211yescharacteristic
58#340×C101C2211yescharacteristic
59#336×C101C2211yescharacteristic
60#336×C101C2211yescharacteristic
61C22×Q8×C101—21no—
62C22×Q8×C101C2311yescharacteristic
63C23×C4×C101—21no—
64C23×C4×C101—21no—
65C23×C4×C101C2311yescharacteristic
66C22×C8×C101—22no—
67C22×C8×C101—22no—
68C22×C8×C101—22no—
69C22×C8×C101C2311yescharacteristic
70C22×C8×C101C2311yescharacteristic
71C22×C8×C101C2311yescharacteristic
72C22×C8×C101C2311yescharacteristic
73C4⋊Q8×C101—22no—
74C4⋊Q8×C101—41no—
75C22⋊Q8×C101—22no—
76C22⋊Q8×C101—44no—
77C22⋊Q8×C101Q814yescomplemented
78C4×Q8×C101—22no—
79C4×Q8×C101—41no—
80C2×C4⋊C4×C101—21no—
81C2×C4⋊C4×C101—22no—
82C2×C4⋊C4×C101—22no—
83C2×C4⋊C4×C101—21no—
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—41no—
93C2×C4⋊C4×C101—41no—
94C2×C4⋊C4×C101C2311yescharacteristic
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×C101D411yescharacteristic
104C2×C22⋊C4×C101D411yescharacteristic
105C2×C42×C101—21no—
106C2×C42×C101—21no—
107C2×C42×C101C2311yescharacteristic
108C2×C42×C101C2311yescharacteristic
109#106×C101—22no—
110#106×C101—22no—
111#106×C101—22no—
112#106×C101—22no—
113#106×C101—41no—
114#106×C101D414yes—
115C4⋊C8×C101—22no—
116C4⋊C8×C101—22no—
117#103×C101—22no—
118#103×C101—22no—
119#103×C101—22no—
120#103×C101—41no—
121C22⋊C8×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×C101D411yescharacteristic
130#95×C101D411yescharacteristic
131C24×C101C2×D411yescharacteristic
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—
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—42no—
154C22×C4×C101—42no—
155C22×C4×C101—42no—
156C22×C4×C101—42no—
157C22×C4×C101—81no—
158C22×C4×C101—81no—
159C22×C4×C101C2×D411yescharacteristic
160C22×C4×C101C2×D411yescharacteristic
161C22×C4×C101C2×D411yescharacteristic
162C22×C4×C101C2×D411yescharacteristic
163C22×C4×C101C2×D411yescharacteristic
164C22×C4×C101C2×Q812yes—
165C22×C4×C101#4112yes—
166C22×C4×C101C2411yescharacteristic
167C2×C8×C101—28no—
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—21no—
175C2×C8×C101—21no—
176C2×C8×C101—21no—
177C2×C8×C101—21no—
178C2×C8×C101C2×D412yes—
179C2×C8×C101#4112yes—
180C4⋊C4×C101—24no—
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—21no—
189C4⋊C4×C101—21no—
190C4⋊C4×C101—21no—
191C4⋊C4×C101—21no—
192C4⋊C4×C101—42no—
193C4⋊C4×C101—42no—
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×C101C2×D412yes—
202C4⋊C4×C101C2×D412yes—
203C4⋊C4×C101C2×Q812yes—
204C22⋊C4×C101—24no—
205C22⋊C4×C101—22no—
206C22⋊C4×C101—42no—
207C22⋊C4×C101SD1614yes—
208C42×C101—21no—
209C42×C101—21no—
210C42×C101—21no—
211C42×C101—21no—
212C42×C101—42no—
213C42×C101—81no—
214C23×C101—21no—
215C23×C101—21no—
216C23×C101—21no—
217C23×C101—21no—
218C23×C101C22⋊Q812yes—
219C23×C101C2×SD1612yes—
220C23×C101#13712yes—
221C23×C101C22×D411yescharacteristic
222Q8×C101—22no—
223Q8×C101—22no—
224Q8×C101—41no—
225Q8×C101—41no—
226Q8×C101—84no—
227C2×C4×C101—21no—
228C2×C4×C101—21no—
229C2×C4×C101—21no—
230C2×C4×C101—21no—
231C2×C4×C101—21no—
232C2×C4×C101—21no—
233C2×C4×C101—22no—
234C2×C4×C101—22no—
235C2×C4×C101—22no—
236C2×C4×C101—22no—
237C2×C4×C101—22no—
238C2×C4×C101—22no—
239C2×C4×C101—21no—
240C2×C4×C101—22no—
241C2×C4×C101—22no—
242C2×C4×C101—21no—
243C2×C4×C101—21no—
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—84no—
268C2×C4×C101—84no—
269C2×C4×C101C22⋊Q812yes—
270C2×C4×C101C2×SD1612yes—
271C2×C4×C101C2×SD1612yes—
272C2×C4×C101C22×D411yescharacteristic
273C2×C4×C101C22×Q811yescharacteristic
274C2×C4×C101C2×#4111yescharacteristic
275C2×C4×C101C2×#4111yescharacteristic
276C2×C4×C101H(5,𝔽2)11yescharacteristic
277C2×C4×C1012−1+411yescharacteristic
278C8×C101—22no—
279C8×C101—22no—
280C8×C101—41no—
281C8×C101—41no—
282C22×C101—22no—
283C22×C101—22no—
284C22×C101—22no—
285C22×C101—22no—
286C22×C101—22no—
287C22×C101—22no—
288C22×C101#47514yescomplemented
289C22×C101C2×C22⋊Q811yescharacteristic
290C22×C101D4211yescharacteristic
291C22×C101#54711yescharacteristic
292C22×C101C22×SD1611yescharacteristic
293C22×C101C2×#13711yescharacteristic
294C22×C101#57711yescharacteristic
295C22×C101#57711yescharacteristic
296C4×C101—22no—
297C4×C101—22no—
298C4×C101—22no—
299C4×C101—42no—
300C4×C101—41no—
301C4×C101—42no—
302C4×C101—41no—
303C4×C101—42no—
304C4×C101—42no—
305C4×C101—81no—
306C4×C101—81no—
307C4×C101—81no—
308C4×C101—81no—
309C4×C101#52511yescharacteristic
310C4×C101#53911yescharacteristic
311C4×C101D4×Q811yescharacteristic
312C4×C101#55411yescharacteristic
313#26340C10111yesmaximal, characteristic, direct product factor, Sylow
314C2×C101—24no—
315C2×C101#244911yescharacteristic
316C2×C101C2×#47511yescharacteristic
317C2×C101#308411yescharacteristic
318C2×C101#326611yescharacteristic
319C2×C101D4×SD1611yescharacteristic
320C2×C101#333511yescharacteristic
321C2×C101#334411yescharacteristic
322C2×#475C2×C10111yescharacteristic, complemented
323C22×#106C2×C10111yescharacteristic
324#2440C2×C10111yescharacteristic
325#2360C2×C10111yescharacteristic
326#2096C2×C10111yescharacteristic, complemented
327#2088C2×C10111yescharacteristic, complemented
328#2066C2×C10111yescharacteristic, complemented
329#2058C2×C10111yescharacteristic, complemented
330#1948C2×C10111yescharacteristic, complemented
331#1919C2×C10111yescharacteristic, complemented
332#1892C2×C10111yescharacteristic
333#1872C2×C10111yescharacteristic
334#1865C2×C10111yescharacteristic, complemented
335#1853C2×C10111yescharacteristic
336#1850C2×C10111yescharacteristic
337C101#2634011yescharacteristic, direct product factor, Sylow
338C23×C8C22×C10111yescharacteristic
339C2×C4⋊Q8C22×C10111yescharacteristic
340C2×C22⋊Q8—21no—
341C2×C22⋊Q8C22×C10111yescharacteristic
342C2×C4×Q8C22×C10111yescharacteristic
343C22×C4⋊C4C22×C10111yescharacteristic
344C22×C4⋊C4C22×C10111yescharacteristic
345#475—24no—
346C2×#106—24no—
347C2×#106C22×C10111yescharacteristic
348C2×#106C22×C10111yescharacteristic
349C2×#106C22×C10111yescharacteristic
350C2×#106C22×C10111yescharacteristic
351C2×#106C22×C10111yescharacteristic
352C2×#106C22×C10111yescharacteristic
353C2×C4⋊C8C22×C10111yescharacteristic
354C2×C4⋊C8C22×C10111yescharacteristic
355C2×#103C22×C10111yescharacteristic
356C2×#103C22×C10111yescharacteristic
357C2×#103C22×C10111yescharacteristic
358C2×#103C22×C10111yescharacteristic
359C2×C22⋊C8C22×C10111yescharacteristic
360#398—21no—
361#395—21no—
362#391C22×C10111yescharacteristic
363#389—21no—
364#389C22×C10111yescharacteristic
365#389C22×C10111yescharacteristic
366#389C22×C10111yescharacteristic
367#387—21no—
368#385—21no—
369#385—21no—
370#384C22×C10111yescharacteristic
371#380C22×C10111yescharacteristic
372C4×C4⋊C4C22×C10111yescharacteristic
373C4×C22⋊C4—21no—
374C4×C22⋊C4C22×C10111yescharacteristic
375#340C22×C10111yescharacteristic
376#340C22×C10111yescharacteristic
377#340C22×C10111yescharacteristic
378#340C22×C10111yescharacteristic
379#340C22×C10111yescharacteristic
380#340C22×C10111yescharacteristic
381#336C22×C10111yescharacteristic
382#336C22×C10111yescharacteristic
383C22×Q8—21no—
384C22×Q8C23×C10111yescharacteristic
385C23×C4—21no—
386C23×C4—21no—
387C23×C4C23×C10111yescharacteristic
388C22×C8—22no—
389C22×C8—22no—
390C22×C8—22no—
391C22×C8C23×C10111yescharacteristic
392C22×C8C23×C10111yescharacteristic
393C22×C8C23×C10111yescharacteristic
394C22×C8C23×C10111yescharacteristic
395C4⋊Q8—22no—
396C4⋊Q8—41no—
397C22⋊Q8—22no—
398C22⋊Q8—44no—
399C22⋊Q8Q8×C10114yescomplemented
400C4×Q8—22no—
401C4×Q8—41no—
402C2×C4⋊C4—21no—
403C2×C4⋊C4—22no—
404C2×C4⋊C4—22no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
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⋊C4—21no—
414C2×C4⋊C4—41no—
415C2×C4⋊C4—41no—
416C2×C4⋊C4C23×C10111yescharacteristic
417C2×C4⋊C4C23×C10111yescharacteristic
418C2×C4⋊C4C23×C10111yescharacteristic
419C2×C4⋊C4C23×C10111yescharacteristic
420C2×C4⋊C4C23×C10111yescharacteristic
421C2×C4⋊C4C23×C10111yescharacteristic
422C2×C4⋊C4C23×C10111yescharacteristic
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4D4×C10111yescharacteristic
426C2×C22⋊C4D4×C10111yescharacteristic
427C2×C42—21no—
428C2×C42—21no—
429C2×C42C23×C10111yescharacteristic
430C2×C42C23×C10111yescharacteristic
431#106—22no—
432#106—22no—
433#106—22no—
434#106—22no—
435#106—41no—
436#106D4×C10114yes—
437C4⋊C8—22no—
438C4⋊C8—22no—
439#103—22no—
440#103—22no—
441#103—22no—
442#103—41no—
443C22⋊C8—22no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95D4×C10111yescharacteristic
452#95D4×C10111yescharacteristic
453C24C2×D4×C10111yescharacteristic
454C2×Q8—21no—
455C2×Q8—21no—
456C2×Q8—21no—
457C2×Q8—21no—
458C2×Q8—21no—
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—81no—
462C2×Q8C2×Q8×C10112yes—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—81no—
480C22×C4—81no—
481C22×C4C2×D4×C10111yescharacteristic
482C22×C4C2×D4×C10111yescharacteristic
483C22×C4C2×D4×C10111yescharacteristic
484C22×C4C2×D4×C10111yescharacteristic
485C22×C4C2×D4×C10111yescharacteristic
486C22×C4C2×Q8×C10112yes—
487C22×C4#41×C10112yes—
488C22×C4C24×C10111yescharacteristic
489C2×C8—28no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8C2×D4×C10112yes—
501C2×C8#41×C10112yes—
502C4⋊C4—24no—
503C4⋊C4—21no—
504C4⋊C4—21no—
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—42no—
515C4⋊C4—42no—
516C4⋊C4—42no—
517C4⋊C4—42no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—81no—
522C4⋊C4—81no—
523C4⋊C4C2×D4×C10112yes—
524C4⋊C4C2×D4×C10112yes—
525C4⋊C4C2×Q8×C10112yes—
526C22⋊C4—24no—
527C22⋊C4—22no—
528C22⋊C4—42no—
529C22⋊C4SD16×C10114yes—
530C42—21no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—42no—
535C42—81no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23C22⋊Q8×C10112yes—
541C23C2×SD16×C10112yes—
542C23#137×C10112yes—
543C23C22×D4×C10111yescharacteristic
544Q8—22no—
545Q8—22no—
546Q8—41no—
547Q8—41no—
548Q8—84no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—21no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
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—84no—
590C2×C4—84no—
591C2×C4C22⋊Q8×C10112yes—
592C2×C4C2×SD16×C10112yes—
593C2×C4C2×SD16×C10112yes—
594C2×C4C22×D4×C10111yescharacteristic
595C2×C4C22×Q8×C10111yescharacteristic
596C2×C4C2×#41×C10111yescharacteristic
597C2×C4C2×#41×C10111yescharacteristic
598C2×C4H(5,𝔽2)×C10111yescharacteristic
599C2×C42−1+4×C10111yescharacteristic
600C8—22no—
601C8—22no—
602C8—41no—
603C8—41no—
604C22—22no—
605C22—22no—
606C22—22no—
607C22—22no—
608C22—22no—
609C22—22no—
610C22#475×C10114yescomplemented
611C22C2×C22⋊Q8×C10111yescharacteristic
612C22D42×C10111yescharacteristic
613C22#547×C10111yescharacteristic
614C22C22×SD16×C10111yescharacteristic
615C22C2×#137×C10111yescharacteristic
616C22#577×C10111yescharacteristic
617C22#577×C10111yescharacteristic
618C4—22no—
619C4—22no—
620C4—22no—
621C4—42no—
622C4—41no—
623C4—42no—
624C4—42no—
625C4—42no—
626C4—41no—
627C4—81no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4#525×C10111yescharacteristic
632C4#539×C10111yescharacteristic
633C4D4×Q8×C10111yescharacteristic
634C4#554×C10111yescharacteristic
635C2—24no—
636C2C101×#244911yescharacteristic
637C2C2×#475×C10111yescharacteristic
638C2C101×#308411yescharacteristic
639C2C101×#326611yescharacteristic
640C2D4×SD16×C10111yescharacteristic
641C2C101×#333511yescharacteristic
642C2C101×#334411yescharacteristic
subgroupG/H
center, socleC23×C101C22×D4
commutator, Frattini, cosocleC22×C4C24×C101
prime radicalC24×C101C2×D4
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
1. C2×#475×C101C2semidirect
5. C101×#2096C2semidirect
6. C101×#2088C2semidirect
7. C101×#2066C2semidirect
8. C101×#2058C2semidirect
9. C101×#1948C2semidirect
10. C101×#1919C2semidirect
13. C101×#1865C2semidirect
77. C22⋊Q8×C101Q8semidirect
288. C22×C101#475semidirect
313. #26340C101direct (N × H)
322. C2×#475C2×C101semidirect
326. #2096C2×C101semidirect
327. #2088C2×C101semidirect
328. #2066C2×C101semidirect
329. #2058C2×C101semidirect
330. #1948C2×C101semidirect
331. #1919C2×C101semidirect
334. #1865C2×C101semidirect
337. C101#26340direct (N × H)
399. C22⋊Q8Q8×C101semidirect
610. C22#475×C101semidirect

Maximal subgroups

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

subgroupindex
C2×#475×C1012
C22×#106×C1012
C101×#24402
C101×#23602
C101×#20962
C101×#20882
C101×#20662
C101×#20582
C101×#19482
C101×#19192
C101×#18922
C101×#18722
C101×#18652
C101×#18532
C101×#18502
#26340101