Finite Group Databasebeta

← C101×#18026 #38800177

Subgroups — C101×#18026 #38800177

Order 25856.

656 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#3100C211yesmaximal, characteristic
2C101×#2979C211yesmaximal, characteristic, complemented
3C101×#2974C211yesmaximal, characteristic, complemented
4C101×#1594C211yesmaximal, characteristic, complemented
5C101×#1589C211yesmaximal, characteristic, complemented
6C101×#1586C211yesmaximal, characteristic, complemented
7C101×#1586C211yesmaximal, characteristic, complemented
8C101×#1581C211yesmaximal, characteristic, complemented
9C101×#1581C211yesmaximal, characteristic, complemented
10C101×#1580C211yesmaximal, characteristic, complemented
11C8×D8×C101C211yesmaximal, characteristic, complemented
12C101×#1572C211yesmaximal, characteristic, complemented
13C101×#1496C211yesmaximal, characteristic, complemented
14C101×#1478C211yesmaximal, characteristic, complemented
15C101×#1454C211yesmaximal, characteristic, complemented
16#532×C101C2211yescharacteristic
17C2×C4×D4×C101C2211yescharacteristic
18#480×C101C411yescharacteristic
19#480×C101C411yescharacteristic
20#474×C101C411yescharacteristic
21#474×C101C411yescharacteristic
22#459×C101C411yescharacteristic
23#459×C101C411yescharacteristic
24#447×C101C411yescharacteristic
25#447×C101C411yescharacteristic
26C4×D8×C101C2211yescharacteristic
27C4×D8×C101C2211yescharacteristic
28C4×D8×C101C2211yescharacteristic
29C4×D8×C101C2211yescharacteristic
30#436×C101—21no—
31#436×C101C2211yescharacteristic
32#436×C101C2211yescharacteristic
33#436×C101C2211yescharacteristic, complemented
34#436×C101C2211yescharacteristic, complemented
35#435×C101—21no—
36#435×C101—21no—
37C8×D4×C101—21no—
38C8×D4×C101C2211yescharacteristic
39C8×D4×C101C2211yescharacteristic
40C8×D4×C101C2211yescharacteristic, complemented
41C8×D4×C101C2211yescharacteristic, complemented
42#432×C101C2211yescharacteristic
43#431×C101C2211yescharacteristic
44#431×C101C2211yescharacteristic
45#431×C101C2211yescharacteristic
46#431×C101C2211yescharacteristic
47#408×C101—21no—
48#408×C101—21no—
49#407×C101—21no—
50C2×C22⋊C8×C101—21no—
51#335×C101C2211yescharacteristic, complemented
52#335×C101C2211yescharacteristic, complemented
53#334×C101C2211yescharacteristic, complemented
54#334×C101C2211yescharacteristic, complemented
55D4⋊C8×C101C2211yescharacteristic
56D4⋊C8×C101C2211yescharacteristic
57D4⋊C8×C101C2211yescharacteristic
58D4⋊C8×C101C2211yescharacteristic
59D4⋊C8×C101C2211yescharacteristic, complemented
60D4⋊C8×C101C2211yescharacteristic, complemented
61D4⋊C8×C101C2211yescharacteristic, complemented
62D4⋊C8×C101C2211yescharacteristic, complemented
63#322×C101C2211yescharacteristic, complemented
64#322×C101C2211yescharacteristic, complemented
65#322×C101C2211yescharacteristic, complemented
66C82×C101C2211yescharacteristic, complemented
67C2×#41×C101—21no—
68C22×D4×C101C2×C411yescharacteristic
69C23×C4×C101—21no—
70C2×D8×C101C2×C411yescharacteristic
71C2×D8×C101C2×C411yescharacteristic
72C2×D8×C101C2×C411yescharacteristic
73C2×D8×C101C2×C411yescharacteristic
74C2×M16×C101—21no—
75C2×M16×C101—21no—
76C2×M16×C101—21no—
77C2×M16×C101—21no—
78C22×C8×C101—21no—
79C22×C8×C101—21no—
80C22×C8×C101—21no—
81C22×C8×C101—21no—
82C4⋊Q8×C101C2×C411yescharacteristic
83#127×C101C2×C411yescharacteristic
84#124×C101—21no—
85#121×C101—21no—
86#121×C101C2×C411yescharacteristic
87#121×C101C2×C411yescharacteristic
88C4×D4×C101—21no—
89C4×D4×C101—21no—
90C4×D4×C101—21no—
91C4×D4×C101C2×C411yescharacteristic
92C4×D4×C101C2×C411yescharacteristic
93C4×D4×C101C2311yescharacteristic
94C4×D4×C101C2311yescharacteristic
95C4×D4×C101C2311yescharacteristic
96C4×D4×C101C2311yescharacteristic
97C2×C4⋊C4×C101C2×C411yescharacteristic
98C2×C22⋊C4×C101—21no—
99C2×C42×C101C2311yescharacteristic
100#107×C101C2×C411yescharacteristic
101#107×C101C2×C411yescharacteristic
102#107×C101C2×C411yescharacteristic
103#107×C101C2×C411yescharacteristic
104C4⋊C8×C101—21no—
105C4⋊C8×C101C2×C411yescharacteristic
106C4⋊C8×C101C2×C411yescharacteristic
107C4⋊C8×C101D411yescharacteristic
108C4⋊C8×C101D411yescharacteristic
109C4⋊C8×C101C2311yescharacteristic
110C4⋊C8×C101C2311yescharacteristic
111C4⋊C8×C101C2311yescharacteristic
112C4⋊C8×C101C2311yescharacteristic
113#102×C101C2×C411yescharacteristic
114#102×C101C2×C411yescharacteristic
115#102×C101C2×C411yescharacteristic
116#102×C101C2×C411yescharacteristic
117#102×C101C2×C411yescharacteristic
118#102×C101C2×C411yescharacteristic
119#102×C101C2×C411yescharacteristic
120#102×C101C2×C411yescharacteristic
121C22⋊C8×C101—21no—
122C22⋊C8×C101—21no—
123C22⋊C8×C101—21no—
124C22⋊C8×C101—21no—
125C22⋊C8×C101—21no—
126C22⋊C8×C101—21no—
127C22⋊C8×C101—21no—
128C22⋊C8×C101—21no—
129C22⋊C8×C101—21no—
130C22⋊C8×C101—21no—
131C22⋊C8×C101—21no—
132C22⋊C8×C101C2×C411yescharacteristic
133C22⋊C8×C101C2×C411yescharacteristic
134C22⋊C8×C101D411yescharacteristic
135C22⋊C8×C101D411yescharacteristic
136#97×C101—21no—
137C4×C8×C101—21no—
138C4×C8×C101C2311yescharacteristic
139C4×C8×C101C2311yescharacteristic
140C4×C8×C101C2311yescharacteristic
141C4×C8×C101C2311yescharacteristic
142C4×C8×C101C2311yescharacteristic
143C4×C8×C101C2311yescharacteristic
144C24×C101—21no—
145#41×C101—81no—
146#41×C101—81no—
147C2×Q8×C101—21no—
148C2×D4×C101—22no—
149C2×D4×C101—21no—
150C2×D4×C101—21no—
151C2×D4×C101—21no—
152C2×D4×C101—21no—
153C2×D4×C101—21no—
154C2×D4×C101—41no—
155C2×D4×C101C22×C411yescharacteristic
156C2×D4×C101C22×C411yescharacteristic
157C2×D4×C101C22×C411yescharacteristic
158C2×D4×C101C22×C411yescharacteristic
159C22×C4×C101—21no—
160C22×C4×C101—21no—
161C22×C4×C101—21no—
162C22×C4×C101—21no—
163C22×C4×C101—21no—
164C22×C4×C101—21no—
165C22×C4×C101—21no—
166C22×C4×C101—81no—
167C22×C4×C101—81no—
168C22×C4×C101C22×C411yescharacteristic
169C22×C4×C101C2×D411yescharacteristic
170C22×C4×C101#4111yescharacteristic
171D8×C101—22no—
172D8×C101—22no—
173D8×C101—41no—
174D8×C101—41no—
175M16×C101—81no—
176M16×C101—81no—
177M16×C101—81no—
178M16×C101—81no—
179C2×C8×C101—21no—
180C2×C8×C101—21no—
181C2×C8×C101—21no—
182C2×C8×C101—21no—
183C2×C8×C101—21no—
184C2×C8×C101—21no—
185C2×C8×C101—81no—
186C2×C8×C101—81no—
187C2×C8×C101—81no—
188C2×C8×C101—81no—
189C2×C8×C101C22×C411yescharacteristic
190C2×C8×C101C22×C411yescharacteristic
191C2×C8×C101C22×C411yescharacteristic
192C2×C8×C101C22×C411yescharacteristic
193C2×C8×C101C2×D411yescharacteristic
194C2×C8×C101C2×D411yescharacteristic
195C2×C8×C101C2×D411yescharacteristic
196C2×C8×C101C2×D411yescharacteristic
197C4⋊C4×C101—21no—
198C4⋊C4×C101—21no—
199C4⋊C4×C101C22×C411yescharacteristic
200C4⋊C4×C101C22×C411yescharacteristic
201C4⋊C4×C101C22×C411yescharacteristic
202C4⋊C4×C101C22×C411yescharacteristic
203C22⋊C4×C101—21no—
204C22⋊C4×C101—21no—
205C22⋊C4×C101—21no—
206C22⋊C4×C101—21no—
207C22⋊C4×C101—21no—
208C22⋊C4×C101—21no—
209C22⋊C4×C101—21no—
210C22⋊C4×C101—21no—
211C42×C101C22×C411yescharacteristic
212C42×C101C2×D411yescharacteristic
213C42×C101#4111yescharacteristic
214C42×C101C2411yescharacteristic
215C23×C101—21no—
216C23×C101—21no—
217C23×C101—21no—
218C23×C101—21no—
219C23×C101—42no—
220C23×C101—42no—
221C23×C101—81no—
222C23×C101C4×D411yescharacteristic
223Q8×C101—81no—
224D4×C101—21no—
225D4×C101—21no—
226D4×C101—21no—
227D4×C101—21no—
228D4×C101—21no—
229D4×C101—21no—
230D4×C101—21no—
231D4×C101—42no—
232D4×C101—42no—
233D4×C101—81no—
234D4×C101—81no—
235D4×C101—81no—
236D4×C101#13112yes—
237C2×C4×C101—21no—
238C2×C4×C101—21no—
239C2×C4×C101—21no—
240C2×C4×C101—21no—
241C2×C4×C101—21no—
242C2×C4×C101—21no—
243C2×C4×C101—21no—
244C2×C4×C101—21no—
245C2×C4×C101—41no—
246C2×C4×C101—41no—
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—81no—
255C2×C4×C101—81no—
256C2×C4×C101—81no—
257C2×C4×C101C4×D411yescharacteristic
258C2×C4×C101C4×D411yescharacteristic
259C2×C4×C101C4×D411yescharacteristic
260C2×C4×C101C23×C411yescharacteristic
261C2×C4×C101C22×D411yescharacteristic
262C2×C4×C101C2×#4111yescharacteristic
263C8×C101—21no—
264C8×C101—21no—
265C8×C101—21no—
266C8×C101—21no—
267C8×C101—21no—
268C8×C101—21no—
269C8×C101—21no—
270C8×C101—21no—
271C8×C101—41no—
272C8×C101—41no—
273C8×C101—41no—
274C8×C101—41no—
275C8×C101—41no—
276C8×C101—41no—
277C22×C101—21no—
278C22×C101—22no—
279C22×C101—21no—
280C22×C101—21no—
281C22×C101—41no—
282C22×C101—41no—
283C22×C101—41no—
284C22×C101—41no—
285C22×C101—41no—
286C22×C101—41no—
287C22×C101—41no—
288C22×C101—41no—
289C22×C101—41no—
290C22×C101—41no—
291C22×C101—41no—
292C22×C101—84no—
293C22×C101C2×C4×D411yescharacteristic
294C4×C101—21no—
295C4×C101—21no—
296C4×C101—21no—
297C4×C101—21no—
298C4×C101—41no—
299C4×C101—41no—
300C4×C101—41no—
301C4×C101—41no—
302C4×C101C2×#13111yescharacteristic
303C4×C101#56811yescharacteristic
304C4×C101#57611yescharacteristic
305C4×C101#57611yescharacteristic
306#18026C10111yesmaximal, characteristic, direct product factor, Sylow
307C2×C101—41no—
308C2×C101—42no—
309C2×C101—81no—
310C2×C101—81no—
311C2×C101—81no—
312C2×C101#293311yescharacteristic
313C2×C101#294811yescharacteristic
314C2×C101#295511yescharacteristic
315#3100C2×C10111yescharacteristic
316#2979C2×C10111yescharacteristic, complemented
317#2974C2×C10111yescharacteristic, complemented
318#1594C2×C10111yescharacteristic, complemented
319#1589C2×C10111yescharacteristic, complemented
320#1586C2×C10111yescharacteristic, complemented
321#1586C2×C10111yescharacteristic, complemented
322#1581C2×C10111yescharacteristic, complemented
323#1581C2×C10111yescharacteristic, complemented
324#1580C2×C10111yescharacteristic, complemented
325C8×D8C2×C10111yescharacteristic, complemented
326#1572C2×C10111yescharacteristic, complemented
327#1496C2×C10111yescharacteristic, complemented
328#1478C2×C10111yescharacteristic, complemented
329#1454C2×C10111yescharacteristic, complemented
330C101#1802611yescharacteristic, direct product factor, Sylow
331#532C22×C10111yescharacteristic
332C2×C4×D4C22×C10111yescharacteristic
333#480C4×C10111yescharacteristic
334#480C4×C10111yescharacteristic
335#474C4×C10111yescharacteristic
336#474C4×C10111yescharacteristic
337#459C4×C10111yescharacteristic
338#459C4×C10111yescharacteristic
339#447C4×C10111yescharacteristic
340#447C4×C10111yescharacteristic
341C4×D8C22×C10111yescharacteristic
342C4×D8C22×C10111yescharacteristic
343C4×D8C22×C10111yescharacteristic
344C4×D8C22×C10111yescharacteristic
345#436—21no—
346#436C22×C10111yescharacteristic
347#436C22×C10111yescharacteristic
348#436C22×C10111yescharacteristic, complemented
349#436C22×C10111yescharacteristic, complemented
350#435—21no—
351#435—21no—
352C8×D4—21no—
353C8×D4C22×C10111yescharacteristic
354C8×D4C22×C10111yescharacteristic
355C8×D4C22×C10111yescharacteristic, complemented
356C8×D4C22×C10111yescharacteristic, complemented
357#432C22×C10111yescharacteristic
358#431C22×C10111yescharacteristic
359#431C22×C10111yescharacteristic
360#431C22×C10111yescharacteristic
361#431C22×C10111yescharacteristic
362#408—21no—
363#408—21no—
364#407—21no—
365C2×C22⋊C8—21no—
366#335C22×C10111yescharacteristic, complemented
367#335C22×C10111yescharacteristic, complemented
368#334C22×C10111yescharacteristic, complemented
369#334C22×C10111yescharacteristic, complemented
370D4⋊C8C22×C10111yescharacteristic
371D4⋊C8C22×C10111yescharacteristic
372D4⋊C8C22×C10111yescharacteristic
373D4⋊C8C22×C10111yescharacteristic
374D4⋊C8C22×C10111yescharacteristic, complemented
375D4⋊C8C22×C10111yescharacteristic, complemented
376D4⋊C8C22×C10111yescharacteristic, complemented
377D4⋊C8C22×C10111yescharacteristic, complemented
378#322C22×C10111yescharacteristic, complemented
379#322C22×C10111yescharacteristic, complemented
380#322C22×C10111yescharacteristic, complemented
381C82C22×C10111yescharacteristic, complemented
382C2×#41—21no—
383C22×D4C2×C4×C10111yescharacteristic
384C23×C4—21no—
385C2×D8C2×C4×C10111yescharacteristic
386C2×D8C2×C4×C10111yescharacteristic
387C2×D8C2×C4×C10111yescharacteristic
388C2×D8C2×C4×C10111yescharacteristic
389C2×M16—21no—
390C2×M16—21no—
391C2×M16—21no—
392C2×M16—21no—
393C22×C8—21no—
394C22×C8—21no—
395C22×C8—21no—
396C22×C8—21no—
397C4⋊Q8C2×C4×C10111yescharacteristic
398#127C2×C4×C10111yescharacteristic
399#124—21no—
400#121—21no—
401#121C2×C4×C10111yescharacteristic
402#121C2×C4×C10111yescharacteristic
403C4×D4—21no—
404C4×D4—21no—
405C4×D4—21no—
406C4×D4C2×C4×C10111yescharacteristic
407C4×D4C2×C4×C10111yescharacteristic
408C4×D4C23×C10111yescharacteristic
409C4×D4C23×C10111yescharacteristic
410C4×D4C23×C10111yescharacteristic
411C4×D4C23×C10111yescharacteristic
412C2×C4⋊C4C2×C4×C10111yescharacteristic
413C2×C22⋊C4—21no—
414C2×C42C23×C10111yescharacteristic
415#107C2×C4×C10111yescharacteristic
416#107C2×C4×C10111yescharacteristic
417#107C2×C4×C10111yescharacteristic
418#107C2×C4×C10111yescharacteristic
419C4⋊C8—21no—
420C4⋊C8C2×C4×C10111yescharacteristic
421C4⋊C8C2×C4×C10111yescharacteristic
422C4⋊C8D4×C10111yescharacteristic
423C4⋊C8D4×C10111yescharacteristic
424C4⋊C8C23×C10111yescharacteristic
425C4⋊C8C23×C10111yescharacteristic
426C4⋊C8C23×C10111yescharacteristic
427C4⋊C8C23×C10111yescharacteristic
428#102C2×C4×C10111yescharacteristic
429#102C2×C4×C10111yescharacteristic
430#102C2×C4×C10111yescharacteristic
431#102C2×C4×C10111yescharacteristic
432#102C2×C4×C10111yescharacteristic
433#102C2×C4×C10111yescharacteristic
434#102C2×C4×C10111yescharacteristic
435#102C2×C4×C10111yescharacteristic
436C22⋊C8—21no—
437C22⋊C8—21no—
438C22⋊C8—21no—
439C22⋊C8—21no—
440C22⋊C8—21no—
441C22⋊C8—21no—
442C22⋊C8—21no—
443C22⋊C8—21no—
444C22⋊C8—21no—
445C22⋊C8—21no—
446C22⋊C8—21no—
447C22⋊C8C2×C4×C10111yescharacteristic
448C22⋊C8C2×C4×C10111yescharacteristic
449C22⋊C8D4×C10111yescharacteristic
450C22⋊C8D4×C10111yescharacteristic
451#97—21no—
452C4×C8—21no—
453C4×C8C23×C10111yescharacteristic
454C4×C8C23×C10111yescharacteristic
455C4×C8C23×C10111yescharacteristic
456C4×C8C23×C10111yescharacteristic
457C4×C8C23×C10111yescharacteristic
458C4×C8C23×C10111yescharacteristic
459C24—21no—
460#41—81no—
461#41—81no—
462C2×Q8—21no—
463C2×D4—22no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—41no—
470C2×D4C22×C4×C10111yescharacteristic
471C2×D4C22×C4×C10111yescharacteristic
472C2×D4C22×C4×C10111yescharacteristic
473C2×D4C22×C4×C10111yescharacteristic
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—81no—
482C22×C4—81no—
483C22×C4C22×C4×C10111yescharacteristic
484C22×C4C2×D4×C10111yescharacteristic
485C22×C4#41×C10111yescharacteristic
486D8—22no—
487D8—22no—
488D8—41no—
489D8—41no—
490M16—81no—
491M16—81no—
492M16—81no—
493M16—81no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—81no—
501C2×C8—81no—
502C2×C8—81no—
503C2×C8—81no—
504C2×C8C22×C4×C10111yescharacteristic
505C2×C8C22×C4×C10111yescharacteristic
506C2×C8C22×C4×C10111yescharacteristic
507C2×C8C22×C4×C10111yescharacteristic
508C2×C8C2×D4×C10111yescharacteristic
509C2×C8C2×D4×C10111yescharacteristic
510C2×C8C2×D4×C10111yescharacteristic
511C2×C8C2×D4×C10111yescharacteristic
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4C22×C4×C10111yescharacteristic
515C4⋊C4C22×C4×C10111yescharacteristic
516C4⋊C4C22×C4×C10111yescharacteristic
517C4⋊C4C22×C4×C10111yescharacteristic
518C22⋊C4—21no—
519C22⋊C4—21no—
520C22⋊C4—21no—
521C22⋊C4—21no—
522C22⋊C4—21no—
523C22⋊C4—21no—
524C22⋊C4—21no—
525C22⋊C4—21no—
526C42C22×C4×C10111yescharacteristic
527C42C2×D4×C10111yescharacteristic
528C42#41×C10111yescharacteristic
529C42C24×C10111yescharacteristic
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—42no—
535C23—42no—
536C23—81no—
537C23C4×D4×C10111yescharacteristic
538Q8—81no—
539D4—21no—
540D4—21no—
541D4—21no—
542D4—21no—
543D4—21no—
544D4—21no—
545D4—21no—
546D4—42no—
547D4—42no—
548D4—81no—
549D4—81no—
550D4—81no—
551D4#131×C10112yes—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—81no—
570C2×C4—81no—
571C2×C4—81no—
572C2×C4C4×D4×C10111yescharacteristic
573C2×C4C4×D4×C10111yescharacteristic
574C2×C4C4×D4×C10111yescharacteristic
575C2×C4C23×C4×C10111yescharacteristic
576C2×C4C22×D4×C10111yescharacteristic
577C2×C4C2×#41×C10111yescharacteristic
578C8—21no—
579C8—21no—
580C8—21no—
581C8—21no—
582C8—21no—
583C8—21no—
584C8—21no—
585C8—21no—
586C8—41no—
587C8—41no—
588C8—41no—
589C8—41no—
590C8—41no—
591C8—41no—
592C22—21no—
593C22—22no—
594C22—21no—
595C22—21no—
596C22—41no—
597C22—41no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—41no—
605C22—41no—
606C22—41no—
607C22—84no—
608C22C2×C4×D4×C10111yescharacteristic
609C4—21no—
610C4—21no—
611C4—21no—
612C4—21no—
613C4—41no—
614C4—41no—
615C4—41no—
616C4—41no—
617C4C2×#131×C10111yescharacteristic
618C4#568×C10111yescharacteristic
619C4#576×C10111yescharacteristic
620C4#576×C10111yescharacteristic
621C2—41no—
622C2—42no—
623C2—81no—
624C2—81no—
625C2—81no—
626C2C101×#293311yescharacteristic
627C2C101×#294811yescharacteristic
628C2C101×#295511yescharacteristic
subgroupG/H
centerC2×C4×C101C22×D4
commutatorC2×C4C23×C4×C101
Frattini, cosocleC42C24×C101
socleC22×C101C2×C4×D4
prime radicalC101×#3100C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C101 ◁ #431×C101 ◁ G

Complements

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

NH ≅ G/Ntype
2. C101×#2979C2semidirect
3. C101×#2974C2semidirect
4. C101×#1594C2semidirect
5. C101×#1589C2semidirect
6. C101×#1586C2semidirect
7. C101×#1586C2semidirect
8. C101×#1581C2semidirect
9. C101×#1581C2semidirect
10. C101×#1580C2semidirect
11. C8×D8×C101C2semidirect
12. C101×#1572C2semidirect
13. C101×#1496C2semidirect
14. C101×#1478C2semidirect
15. C101×#1454C2semidirect
33. #436×C101C22semidirect
34. #436×C101C22semidirect
40. C8×D4×C101C22semidirect
41. C8×D4×C101C22semidirect
51. #335×C101C22semidirect
52. #335×C101C22semidirect
53. #334×C101C22semidirect
54. #334×C101C22semidirect
59. D4⋊C8×C101C22semidirect
60. D4⋊C8×C101C22semidirect
61. D4⋊C8×C101C22semidirect
62. D4⋊C8×C101C22semidirect
63. #322×C101C22semidirect
64. #322×C101C22semidirect
65. #322×C101C22semidirect
66. C82×C101C22semidirect
306. #18026C101direct (N × H)
316. #2979C2×C101semidirect
317. #2974C2×C101semidirect
318. #1594C2×C101semidirect
319. #1589C2×C101semidirect
320. #1586C2×C101semidirect
321. #1586C2×C101semidirect
322. #1581C2×C101semidirect
323. #1581C2×C101semidirect
324. #1580C2×C101semidirect
325. C8×D8C2×C101semidirect
326. #1572C2×C101semidirect
327. #1496C2×C101semidirect
328. #1478C2×C101semidirect
329. #1454C2×C101semidirect
330. C101#18026direct (N × H)
348. #436C22×C101semidirect
349. #436C22×C101semidirect
355. C8×D4C22×C101semidirect
356. C8×D4C22×C101semidirect
366. #335C22×C101semidirect
367. #335C22×C101semidirect
368. #334C22×C101semidirect
369. #334C22×C101semidirect
374. D4⋊C8C22×C101semidirect
375. D4⋊C8C22×C101semidirect
376. D4⋊C8C22×C101semidirect
377. D4⋊C8C22×C101semidirect
378. #322C22×C101semidirect
379. #322C22×C101semidirect
380. #322C22×C101semidirect
381. C82C22×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#31002
C101×#29792
C101×#29742
C101×#15942
C101×#15892
C101×#15862
C101×#15812
C101×#15802
C8×D8×C1012
C101×#15722
C101×#14962
C101×#14782
C101×#14542
#18026101