Finite Group Databasebeta

← C101×#25957 #38808108

Subgroups — C101×#25957 #38808108

Order 25856.

946 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#479×C101C211yesmaximal, characteristic, complemented
2C22×#103×C101C211yesmaximal, characteristic
3C101×#2442C211yesmaximal, characteristic
4Q8×C22⋊C4×C101C211yesmaximal, characteristic
5C101×#2097C211yesmaximal, characteristic, complemented
6C101×#2068C211yesmaximal, characteristic, complemented
7C101×#2066C211yesmaximal, characteristic, complemented
8C101×#2026C211yesmaximal, characteristic, complemented
9C101×#1865C211yesmaximal, characteristic, complemented
10C101×#1863C211yesmaximal, characteristic, complemented
11C101×#1852C211yesmaximal, characteristic
12C101×#1850C211yesmaximal, characteristic
13C101×#1807C211yesmaximal, characteristic
14C101×#1805C211yesmaximal, characteristic, complemented
15C101×#1787C211yesmaximal, characteristic
16C23×Q8×C101C2211yescharacteristic
17C23×C8×C101C2211yescharacteristic
18C2×#125×C101C2211yescharacteristic
19C2×C4×Q8×C101C2211yescharacteristic
20C2×C4×Q8×C101C2211yescharacteristic
21C22×C4⋊C4×C101C2211yescharacteristic
22#479×C101—24no—
23C2×#107×C101C2211yescharacteristic
24C2×#107×C101C2211yescharacteristic
25C2×#106×C101C2211yescharacteristic
26C2×#106×C101C2211yescharacteristic
27C2×C4⋊C8×C101C2211yescharacteristic
28C2×C4⋊C8×C101C2211yescharacteristic
29C2×#103×C101—24no—
30C2×#103×C101C2211yescharacteristic
31C2×#103×C101C2211yescharacteristic
32C2×#103×C101C2211yescharacteristic
33C2×#103×C101C2211yescharacteristic
34C2×#103×C101C2211yescharacteristic
35C2×#103×C101C2211yescharacteristic
36C2×#103×C101C2211yescharacteristic
37C2×#103×C101C2211yescharacteristic
38C2×C22⋊C8×C101C2211yescharacteristic
39#400×C101—21no—
40#398×C101—21no—
41#391×C101—21no—
42#391×C101—21no—
43#391×C101C2211yescharacteristic
44#391×C101C2211yescharacteristic
45#389×C101C2211yescharacteristic
46#389×C101C2211yescharacteristic
47#385×C101—21no—
48#382×C101C2211yescharacteristic
49#380×C101—21no—
50#380×C101—21no—
51#380×C101C2211yescharacteristic
52#380×C101C2211yescharacteristic
53C4×C22⋊C4×C101—21no—
54C4×C22⋊C4×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×C101—22no—
63C22×Q8×C101—22no—
64C22×Q8×C101—22no—
65C22×Q8×C101—41no—
66C22×Q8×C101—41no—
67C22×Q8×C101Q814yes—
68C22×Q8×C101C2311yescharacteristic
69C22×Q8×C101C2311yescharacteristic
70C23×C4×C101—21no—
71C23×C4×C101—21no—
72C23×C4×C101C2311yescharacteristic
73C22×C8×C101—22no—
74C22×C8×C101—22no—
75C22×C8×C101—41no—
76C22×C8×C101C2311yescharacteristic
77C22×C8×C101C2311yescharacteristic
78C22×C8×C101C2311yescharacteristic
79C22×C8×C101C2311yescharacteristic
80#125×C101—22no—
81#125×C101—41no—
82C4×Q8×C101—22no—
83C4×Q8×C101—22no—
84C4×Q8×C101—41no—
85C4×Q8×C101—41no—
86C2×C4⋊C4×C101—22no—
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—21no—
93C2×C4⋊C4×C101—21no—
94C2×C4⋊C4×C101—41no—
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#107×C101—22no—
110#107×C101—41no—
111#106×C101—22no—
112#106×C101—41no—
113C4⋊C8×C101—22no—
114C4⋊C8×C101—41no—
115#103×C101—22no—
116#103×C101—22no—
117#103×C101—22no—
118#103×C101—22no—
119#103×C101—22no—
120#103×C101—41no—
121#103×C101—41no—
122#103×C101D414yes—
123C22⋊C8×C101—22no—
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×C101—21no—
131#95×C101—21no—
132#95×C101—21no—
133#95×C101—21no—
134#95×C101D411yescharacteristic
135#95×C101D411yescharacteristic
136C24×C101C2×D411yescharacteristic
137C2×Q8×C101—24no—
138C2×Q8×C101—21no—
139C2×Q8×C101—21no—
140C2×Q8×C101—21no—
141C2×Q8×C101—21no—
142C2×Q8×C101—28no—
143C2×Q8×C101—21no—
144C2×Q8×C101—21no—
145C2×Q8×C101—21no—
146C2×Q8×C101—21no—
147C2×Q8×C101—42no—
148C2×Q8×C101—42no—
149C2×Q8×C101—44no—
150C2×Q8×C101—44no—
151C2×Q8×C101—44no—
152C2×Q8×C101C2×D412yes—
153C2×Q8×C101C2×Q812yes—
154C2×Q8×C101C2×Q812yes—
155C2×Q8×C101#4112yes—
156C22×C4×C101—21no—
157C22×C4×C101—21no—
158C22×C4×C101—21no—
159C22×C4×C101—21no—
160C22×C4×C101—21no—
161C22×C4×C101—24no—
162C22×C4×C101—21no—
163C22×C4×C101—21no—
164C22×C4×C101—21no—
165C22×C4×C101—21no—
166C22×C4×C101—21no—
167C22×C4×C101—21no—
168C22×C4×C101—21no—
169C22×C4×C101—42no—
170C22×C4×C101—42no—
171C22×C4×C101—42no—
172C22×C4×C101—42no—
173C22×C4×C101—81no—
174C22×C4×C101C2×D411yescharacteristic
175C22×C4×C101C2×D411yescharacteristic
176C22×C4×C101C2×D411yescharacteristic
177C22×C4×C101C2×D411yescharacteristic
178C22×C4×C101C2×D411yescharacteristic
179C22×C4×C101C2×Q812yes—
180C22×C4×C101#4112yes—
181C22×C4×C101C2411yescharacteristic
182C2×C8×C101—21no—
183C2×C8×C101—21no—
184C2×C8×C101—21no—
185C2×C8×C101—21no—
186C2×C8×C101—21no—
187C2×C8×C101—21no—
188C2×C8×C101—21no—
189C2×C8×C101—21no—
190C2×C8×C101—21no—
191C2×C8×C101—21no—
192C2×C8×C101—21no—
193C2×C8×C101—44no—
194C2×C8×C101C2×D412yes—
195C4⋊C4×C101—21no—
196C4⋊C4×C101—21no—
197C4⋊C4×C101—21no—
198C4⋊C4×C101—21no—
199C4⋊C4×C101—21no—
200C4⋊C4×C101—21no—
201C4⋊C4×C101—21no—
202C4⋊C4×C101—21no—
203C4⋊C4×C101—21no—
204C4⋊C4×C101—21no—
205C4⋊C4×C101—21no—
206C4⋊C4×C101—42no—
207C4⋊C4×C101—42no—
208C4⋊C4×C101—42no—
209C4⋊C4×C101—42no—
210C4⋊C4×C101—42no—
211C4⋊C4×C101—81no—
212C4⋊C4×C101—81no—
213C4⋊C4×C101C2×D412yes—
214C22⋊C4×C101—22no—
215C22⋊C4×C101—22no—
216C22⋊C4×C101—42no—
217C22⋊C4×C101—42no—
218C42×C101—21no—
219C42×C101—21no—
220C42×C101—21no—
221C42×C101—21no—
222C42×C101—42no—
223C42×C101—42no—
224C23×C101—21no—
225C23×C101—21no—
226C23×C101—21no—
227C23×C101—21no—
228C23×C101C22⋊Q812yes—
229C23×C101#13512yes—
230C23×C101#13712yes—
231C23×C101C22×D411yescharacteristic
232Q8×C101—22no—
233Q8×C101—22no—
234Q8×C101—22no—
235Q8×C101—22no—
236Q8×C101—22no—
237Q8×C101—48no—
238Q8×C101—41no—
239Q8×C101—41no—
240Q8×C101C22⋊Q814yes—
241C2×C4×C101—22no—
242C2×C4×C101—22no—
243C2×C4×C101—21no—
244C2×C4×C101—22no—
245C2×C4×C101—21no—
246C2×C4×C101—22no—
247C2×C4×C101—22no—
248C2×C4×C101—22no—
249C2×C4×C101—22no—
250C2×C4×C101—22no—
251C2×C4×C101—21no—
252C2×C4×C101—21no—
253C2×C4×C101—22no—
254C2×C4×C101—21no—
255C2×C4×C101—21no—
256C2×C4×C101—21no—
257C2×C4×C101—21no—
258C2×C4×C101—21no—
259C2×C4×C101—21no—
260C2×C4×C101—21no—
261C2×C4×C101—21no—
262C2×C4×C101—21no—
263C2×C4×C101—21no—
264C2×C4×C101—48no—
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—41no—
282C2×C4×C101—41no—
283C2×C4×C101—41no—
284C2×C4×C101—84no—
285C2×C4×C101C22⋊Q812yes—
286C2×C4×C101C22×D411yescharacteristic
287C2×C4×C101C22×Q811yescharacteristic
288C2×C4×C101C2×#4111yescharacteristic
289C2×C4×C101C2×#4111yescharacteristic
290C2×C4×C101H(5,𝔽2)11yescharacteristic
291C2×C4×C101H(5,𝔽2)11yescharacteristic
292C8×C101—22no—
293C8×C101—41no—
294C8×C101—41no—
295C8×C101—41no—
296C22×C101—22no—
297C22×C101—22no—
298C22×C101—22no—
299C22×C101—22no—
300C22×C101—22no—
301C22×C101—22no—
302C22×C101#47914yescomplemented
303C22×C101C2×C22⋊Q811yescharacteristic
304C22×C101D4211yescharacteristic
305C22×C101#54611yescharacteristic
306C22×C101C2×#13511yescharacteristic
307C22×C101C2×#13711yescharacteristic
308C22×C101#57711yescharacteristic
309C22×C101#57811yescharacteristic
310C4×C101—22no—
311C4×C101—24no—
312C4×C101—42no—
313C4×C101—41no—
314C4×C101—41no—
315C4×C101—42no—
316C4×C101—41no—
317C4×C101—41no—
318C4×C101—81no—
319C4×C101—81no—
320C4×C101—81no—
321C4×C101—81no—
322C4×C101—81no—
323C4×C101C2×C22⋊Q811yescharacteristic
324C4×C101#54311yescharacteristic
325C4×C101#54611yescharacteristic
326C4×C101#55111yescharacteristic
327#25957C10111yesmaximal, characteristic, direct product factor, Sylow
328C2×C101—24no—
329C2×C101#243711yescharacteristic
330C2×C101C2×#47911yescharacteristic
331C2×C101#308211yescharacteristic
332C2×C101#327011yescharacteristic
333C2×C101#328211yescharacteristic
334C2×C101#330011yescharacteristic
335C2×C101#332011yescharacteristic
336C2×#479C2×C10111yescharacteristic, complemented
337C22×#103C2×C10111yescharacteristic
338#2442C2×C10111yescharacteristic
339Q8×C22⋊C4C2×C10111yescharacteristic
340#2097C2×C10111yescharacteristic, complemented
341#2068C2×C10111yescharacteristic, complemented
342#2066C2×C10111yescharacteristic, complemented
343#2026C2×C10111yescharacteristic, complemented
344#1865C2×C10111yescharacteristic, complemented
345#1863C2×C10111yescharacteristic, complemented
346#1852C2×C10111yescharacteristic
347#1850C2×C10111yescharacteristic
348#1807C2×C10111yescharacteristic
349#1805C2×C10111yescharacteristic, complemented
350#1787C2×C10111yescharacteristic
351C101#2595711yescharacteristic, direct product factor, Sylow
352C23×Q8C22×C10111yescharacteristic
353C23×C8C22×C10111yescharacteristic
354C2×#125C22×C10111yescharacteristic
355C2×C4×Q8C22×C10111yescharacteristic
356C2×C4×Q8C22×C10111yescharacteristic
357C22×C4⋊C4C22×C10111yescharacteristic
358#479—24no—
359C2×#107C22×C10111yescharacteristic
360C2×#107C22×C10111yescharacteristic
361C2×#106C22×C10111yescharacteristic
362C2×#106C22×C10111yescharacteristic
363C2×C4⋊C8C22×C10111yescharacteristic
364C2×C4⋊C8C22×C10111yescharacteristic
365C2×#103—24no—
366C2×#103C22×C10111yescharacteristic
367C2×#103C22×C10111yescharacteristic
368C2×#103C22×C10111yescharacteristic
369C2×#103C22×C10111yescharacteristic
370C2×#103C22×C10111yescharacteristic
371C2×#103C22×C10111yescharacteristic
372C2×#103C22×C10111yescharacteristic
373C2×#103C22×C10111yescharacteristic
374C2×C22⋊C8C22×C10111yescharacteristic
375#400—21no—
376#398—21no—
377#391—21no—
378#391—21no—
379#391C22×C10111yescharacteristic
380#391C22×C10111yescharacteristic
381#389C22×C10111yescharacteristic
382#389C22×C10111yescharacteristic
383#385—21no—
384#382C22×C10111yescharacteristic
385#380—21no—
386#380—21no—
387#380C22×C10111yescharacteristic
388#380C22×C10111yescharacteristic
389C4×C22⋊C4—21no—
390C4×C22⋊C4C22×C10111yescharacteristic
391#340C22×C10111yescharacteristic
392#340C22×C10111yescharacteristic
393#340C22×C10111yescharacteristic
394#340C22×C10111yescharacteristic
395#336C22×C10111yescharacteristic
396#336C22×C10111yescharacteristic
397C22×Q8—21no—
398C22×Q8—22no—
399C22×Q8—22no—
400C22×Q8—22no—
401C22×Q8—41no—
402C22×Q8—41no—
403C22×Q8Q8×C10114yes—
404C22×Q8C23×C10111yescharacteristic
405C22×Q8C23×C10111yescharacteristic
406C23×C4—21no—
407C23×C4—21no—
408C23×C4C23×C10111yescharacteristic
409C22×C8—22no—
410C22×C8—22no—
411C22×C8—41no—
412C22×C8C23×C10111yescharacteristic
413C22×C8C23×C10111yescharacteristic
414C22×C8C23×C10111yescharacteristic
415C22×C8C23×C10111yescharacteristic
416#125—22no—
417#125—41no—
418C4×Q8—22no—
419C4×Q8—22no—
420C4×Q8—41no—
421C4×Q8—41no—
422C2×C4⋊C4—22no—
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⋊C4—21no—
430C2×C4⋊C4—41no—
431C2×C4⋊C4C23×C10111yescharacteristic
432C2×C4⋊C4C23×C10111yescharacteristic
433C2×C4⋊C4C23×C10111yescharacteristic
434C2×C4⋊C4C23×C10111yescharacteristic
435C2×C4⋊C4C23×C10111yescharacteristic
436C2×C4⋊C4C23×C10111yescharacteristic
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4D4×C10111yescharacteristic
440C2×C22⋊C4D4×C10111yescharacteristic
441C2×C42—21no—
442C2×C42—21no—
443C2×C42C23×C10111yescharacteristic
444C2×C42C23×C10111yescharacteristic
445#107—22no—
446#107—41no—
447#106—22no—
448#106—41no—
449C4⋊C8—22no—
450C4⋊C8—41no—
451#103—22no—
452#103—22no—
453#103—22no—
454#103—22no—
455#103—22no—
456#103—41no—
457#103—41no—
458#103D4×C10114yes—
459C22⋊C8—22no—
460#95—21no—
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#95—21no—
470#95D4×C10111yescharacteristic
471#95D4×C10111yescharacteristic
472C24C2×D4×C10111yescharacteristic
473C2×Q8—24no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—28no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—42no—
484C2×Q8—42no—
485C2×Q8—44no—
486C2×Q8—44no—
487C2×Q8—44no—
488C2×Q8C2×D4×C10112yes—
489C2×Q8C2×Q8×C10112yes—
490C2×Q8C2×Q8×C10112yes—
491C2×Q8#41×C10112yes—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—24no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—81no—
510C22×C4C2×D4×C10111yescharacteristic
511C22×C4C2×D4×C10111yescharacteristic
512C22×C4C2×D4×C10111yescharacteristic
513C22×C4C2×D4×C10111yescharacteristic
514C22×C4C2×D4×C10111yescharacteristic
515C22×C4C2×Q8×C10112yes—
516C22×C4#41×C10112yes—
517C22×C4C24×C10111yescharacteristic
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—44no—
530C2×C8C2×D4×C10112yes—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—81no—
548C4⋊C4—81no—
549C4⋊C4C2×D4×C10112yes—
550C22⋊C4—22no—
551C22⋊C4—22no—
552C22⋊C4—42no—
553C22⋊C4—42no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—21no—
558C42—42no—
559C42—42no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23C22⋊Q8×C10112yes—
565C23#135×C10112yes—
566C23#137×C10112yes—
567C23C22×D4×C10111yescharacteristic
568Q8—22no—
569Q8—22no—
570Q8—22no—
571Q8—22no—
572Q8—22no—
573Q8—48no—
574Q8—41no—
575Q8—41no—
576Q8C22⋊Q8×C10114yes—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—48no—
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⋊Q8×C10112yes—
622C2×C4C22×D4×C10111yescharacteristic
623C2×C4C22×Q8×C10111yescharacteristic
624C2×C4C2×#41×C10111yescharacteristic
625C2×C4C2×#41×C10111yescharacteristic
626C2×C4H(5,𝔽2)×C10111yescharacteristic
627C2×C4H(5,𝔽2)×C10111yescharacteristic
628C8—22no—
629C8—41no—
630C8—41no—
631C8—41no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22#479×C10114yescomplemented
639C22C2×C22⋊Q8×C10111yescharacteristic
640C22D42×C10111yescharacteristic
641C22#546×C10111yescharacteristic
642C22C2×#135×C10111yescharacteristic
643C22C2×#137×C10111yescharacteristic
644C22#577×C10111yescharacteristic
645C22#578×C10111yescharacteristic
646C4—22no—
647C4—24no—
648C4—42no—
649C4—41no—
650C4—41no—
651C4—42no—
652C4—41no—
653C4—41no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4C2×C22⋊Q8×C10111yescharacteristic
660C4#543×C10111yescharacteristic
661C4#546×C10111yescharacteristic
662C4#551×C10111yescharacteristic
663C2—24no—
664C2C101×#243711yescharacteristic
665C2C2×#479×C10111yescharacteristic
666C2C101×#308211yescharacteristic
667C2C101×#327011yescharacteristic
668C2C101×#328211yescharacteristic
669C2C101×#330011yescharacteristic
670C2C101×#332011yescharacteristic
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×#479×C101C2semidirect
5. C101×#2097C2semidirect
6. C101×#2068C2semidirect
7. C101×#2066C2semidirect
8. C101×#2026C2semidirect
9. C101×#1865C2semidirect
10. C101×#1863C2semidirect
14. C101×#1805C2semidirect
302. C22×C101#479semidirect
327. #25957C101direct (N × H)
336. C2×#479C2×C101semidirect
340. #2097C2×C101semidirect
341. #2068C2×C101semidirect
342. #2066C2×C101semidirect
343. #2026C2×C101semidirect
344. #1865C2×C101semidirect
345. #1863C2×C101semidirect
349. #1805C2×C101semidirect
351. C101#25957direct (N × H)
638. C22#479×C101semidirect

Maximal subgroups

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

subgroupindex
C2×#479×C1012
C22×#103×C1012
C101×#24422
Q8×C22⋊C4×C1012
C101×#20972
C101×#20682
C101×#20662
C101×#20262
C101×#18652
C101×#18632
C101×#18522
C101×#18502
C101×#18072
C101×#18052
C101×#17872
#25957101