Finite Group Databasebeta

← C107×#18026 #41043990

Subgroups — C107×#18026 #41043990

Order 27392.

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
1C107×#3100C211yesmaximal, characteristic
2C107×#2979C211yesmaximal, characteristic, complemented
3C107×#2974C211yesmaximal, characteristic, complemented
4C107×#1594C211yesmaximal, characteristic, complemented
5C107×#1589C211yesmaximal, characteristic, complemented
6C107×#1586C211yesmaximal, characteristic, complemented
7C107×#1586C211yesmaximal, characteristic, complemented
8C107×#1581C211yesmaximal, characteristic, complemented
9C107×#1581C211yesmaximal, characteristic, complemented
10C107×#1580C211yesmaximal, characteristic, complemented
11C8×D8×C107C211yesmaximal, characteristic, complemented
12C107×#1572C211yesmaximal, characteristic, complemented
13C107×#1496C211yesmaximal, characteristic, complemented
14C107×#1478C211yesmaximal, characteristic, complemented
15C107×#1454C211yesmaximal, characteristic, complemented
16#532×C107C2211yescharacteristic
17C2×C4×D4×C107C2211yescharacteristic
18#480×C107C411yescharacteristic
19#480×C107C411yescharacteristic
20#474×C107C411yescharacteristic
21#474×C107C411yescharacteristic
22#459×C107C411yescharacteristic
23#459×C107C411yescharacteristic
24#447×C107C411yescharacteristic
25#447×C107C411yescharacteristic
26C4×D8×C107C2211yescharacteristic
27C4×D8×C107C2211yescharacteristic
28C4×D8×C107C2211yescharacteristic
29C4×D8×C107C2211yescharacteristic
30#436×C107—21no—
31#436×C107C2211yescharacteristic
32#436×C107C2211yescharacteristic
33#436×C107C2211yescharacteristic, complemented
34#436×C107C2211yescharacteristic, complemented
35#435×C107—21no—
36#435×C107—21no—
37C8×D4×C107—21no—
38C8×D4×C107C2211yescharacteristic
39C8×D4×C107C2211yescharacteristic
40C8×D4×C107C2211yescharacteristic, complemented
41C8×D4×C107C2211yescharacteristic, complemented
42#432×C107C2211yescharacteristic
43#431×C107C2211yescharacteristic
44#431×C107C2211yescharacteristic
45#431×C107C2211yescharacteristic
46#431×C107C2211yescharacteristic
47#408×C107—21no—
48#408×C107—21no—
49#407×C107—21no—
50C2×C22⋊C8×C107—21no—
51#335×C107C2211yescharacteristic, complemented
52#335×C107C2211yescharacteristic, complemented
53#334×C107C2211yescharacteristic, complemented
54#334×C107C2211yescharacteristic, complemented
55D4⋊C8×C107C2211yescharacteristic
56D4⋊C8×C107C2211yescharacteristic
57D4⋊C8×C107C2211yescharacteristic
58D4⋊C8×C107C2211yescharacteristic
59D4⋊C8×C107C2211yescharacteristic, complemented
60D4⋊C8×C107C2211yescharacteristic, complemented
61D4⋊C8×C107C2211yescharacteristic, complemented
62D4⋊C8×C107C2211yescharacteristic, complemented
63#322×C107C2211yescharacteristic, complemented
64#322×C107C2211yescharacteristic, complemented
65#322×C107C2211yescharacteristic, complemented
66C82×C107C2211yescharacteristic, complemented
67C2×#41×C107—21no—
68C22×D4×C107C2×C411yescharacteristic
69C23×C4×C107—21no—
70C2×D8×C107C2×C411yescharacteristic
71C2×D8×C107C2×C411yescharacteristic
72C2×D8×C107C2×C411yescharacteristic
73C2×D8×C107C2×C411yescharacteristic
74C2×M16×C107—21no—
75C2×M16×C107—21no—
76C2×M16×C107—21no—
77C2×M16×C107—21no—
78C22×C8×C107—21no—
79C22×C8×C107—21no—
80C22×C8×C107—21no—
81C22×C8×C107—21no—
82C4⋊Q8×C107C2×C411yescharacteristic
83#127×C107C2×C411yescharacteristic
84#124×C107—21no—
85#121×C107—21no—
86#121×C107C2×C411yescharacteristic
87#121×C107C2×C411yescharacteristic
88C4×D4×C107—21no—
89C4×D4×C107—21no—
90C4×D4×C107—21no—
91C4×D4×C107C2×C411yescharacteristic
92C4×D4×C107C2×C411yescharacteristic
93C4×D4×C107C2311yescharacteristic
94C4×D4×C107C2311yescharacteristic
95C4×D4×C107C2311yescharacteristic
96C4×D4×C107C2311yescharacteristic
97C2×C4⋊C4×C107C2×C411yescharacteristic
98C2×C22⋊C4×C107—21no—
99C2×C42×C107C2311yescharacteristic
100#107×C107C2×C411yescharacteristic
101#107×C107C2×C411yescharacteristic
102#107×C107C2×C411yescharacteristic
103#107×C107C2×C411yescharacteristic
104C4⋊C8×C107—21no—
105C4⋊C8×C107C2×C411yescharacteristic
106C4⋊C8×C107C2×C411yescharacteristic
107C4⋊C8×C107D411yescharacteristic
108C4⋊C8×C107D411yescharacteristic
109C4⋊C8×C107C2311yescharacteristic
110C4⋊C8×C107C2311yescharacteristic
111C4⋊C8×C107C2311yescharacteristic
112C4⋊C8×C107C2311yescharacteristic
113#102×C107C2×C411yescharacteristic
114#102×C107C2×C411yescharacteristic
115#102×C107C2×C411yescharacteristic
116#102×C107C2×C411yescharacteristic
117#102×C107C2×C411yescharacteristic
118#102×C107C2×C411yescharacteristic
119#102×C107C2×C411yescharacteristic
120#102×C107C2×C411yescharacteristic
121C22⋊C8×C107—21no—
122C22⋊C8×C107—21no—
123C22⋊C8×C107—21no—
124C22⋊C8×C107—21no—
125C22⋊C8×C107—21no—
126C22⋊C8×C107—21no—
127C22⋊C8×C107—21no—
128C22⋊C8×C107—21no—
129C22⋊C8×C107—21no—
130C22⋊C8×C107—21no—
131C22⋊C8×C107—21no—
132C22⋊C8×C107C2×C411yescharacteristic
133C22⋊C8×C107C2×C411yescharacteristic
134C22⋊C8×C107D411yescharacteristic
135C22⋊C8×C107D411yescharacteristic
136#97×C107—21no—
137C4×C8×C107—21no—
138C4×C8×C107C2311yescharacteristic
139C4×C8×C107C2311yescharacteristic
140C4×C8×C107C2311yescharacteristic
141C4×C8×C107C2311yescharacteristic
142C4×C8×C107C2311yescharacteristic
143C4×C8×C107C2311yescharacteristic
144C24×C107—21no—
145#41×C107—81no—
146#41×C107—81no—
147C2×Q8×C107—21no—
148C2×D4×C107—22no—
149C2×D4×C107—21no—
150C2×D4×C107—21no—
151C2×D4×C107—21no—
152C2×D4×C107—21no—
153C2×D4×C107—21no—
154C2×D4×C107—41no—
155C2×D4×C107C22×C411yescharacteristic
156C2×D4×C107C22×C411yescharacteristic
157C2×D4×C107C22×C411yescharacteristic
158C2×D4×C107C22×C411yescharacteristic
159C22×C4×C107—21no—
160C22×C4×C107—21no—
161C22×C4×C107—21no—
162C22×C4×C107—21no—
163C22×C4×C107—21no—
164C22×C4×C107—21no—
165C22×C4×C107—21no—
166C22×C4×C107—81no—
167C22×C4×C107—81no—
168C22×C4×C107C22×C411yescharacteristic
169C22×C4×C107C2×D411yescharacteristic
170C22×C4×C107#4111yescharacteristic
171D8×C107—22no—
172D8×C107—22no—
173D8×C107—41no—
174D8×C107—41no—
175M16×C107—81no—
176M16×C107—81no—
177M16×C107—81no—
178M16×C107—81no—
179C2×C8×C107—21no—
180C2×C8×C107—21no—
181C2×C8×C107—21no—
182C2×C8×C107—21no—
183C2×C8×C107—21no—
184C2×C8×C107—21no—
185C2×C8×C107—81no—
186C2×C8×C107—81no—
187C2×C8×C107—81no—
188C2×C8×C107—81no—
189C2×C8×C107C22×C411yescharacteristic
190C2×C8×C107C22×C411yescharacteristic
191C2×C8×C107C22×C411yescharacteristic
192C2×C8×C107C22×C411yescharacteristic
193C2×C8×C107C2×D411yescharacteristic
194C2×C8×C107C2×D411yescharacteristic
195C2×C8×C107C2×D411yescharacteristic
196C2×C8×C107C2×D411yescharacteristic
197C4⋊C4×C107—21no—
198C4⋊C4×C107—21no—
199C4⋊C4×C107C22×C411yescharacteristic
200C4⋊C4×C107C22×C411yescharacteristic
201C4⋊C4×C107C22×C411yescharacteristic
202C4⋊C4×C107C22×C411yescharacteristic
203C22⋊C4×C107—21no—
204C22⋊C4×C107—21no—
205C22⋊C4×C107—21no—
206C22⋊C4×C107—21no—
207C22⋊C4×C107—21no—
208C22⋊C4×C107—21no—
209C22⋊C4×C107—21no—
210C22⋊C4×C107—21no—
211C42×C107C22×C411yescharacteristic
212C42×C107C2×D411yescharacteristic
213C42×C107#4111yescharacteristic
214C42×C107C2411yescharacteristic
215C23×C107—21no—
216C23×C107—21no—
217C23×C107—21no—
218C23×C107—21no—
219C23×C107—42no—
220C23×C107—42no—
221C23×C107—81no—
222C23×C107C4×D411yescharacteristic
223Q8×C107—81no—
224D4×C107—21no—
225D4×C107—21no—
226D4×C107—21no—
227D4×C107—21no—
228D4×C107—21no—
229D4×C107—21no—
230D4×C107—21no—
231D4×C107—42no—
232D4×C107—42no—
233D4×C107—81no—
234D4×C107—81no—
235D4×C107—81no—
236D4×C107#13112yes—
237C2×C4×C107—21no—
238C2×C4×C107—21no—
239C2×C4×C107—21no—
240C2×C4×C107—21no—
241C2×C4×C107—21no—
242C2×C4×C107—21no—
243C2×C4×C107—21no—
244C2×C4×C107—21no—
245C2×C4×C107—41no—
246C2×C4×C107—41no—
247C2×C4×C107—41no—
248C2×C4×C107—41no—
249C2×C4×C107—41no—
250C2×C4×C107—41no—
251C2×C4×C107—41no—
252C2×C4×C107—41no—
253C2×C4×C107—41no—
254C2×C4×C107—81no—
255C2×C4×C107—81no—
256C2×C4×C107—81no—
257C2×C4×C107C4×D411yescharacteristic
258C2×C4×C107C4×D411yescharacteristic
259C2×C4×C107C4×D411yescharacteristic
260C2×C4×C107C23×C411yescharacteristic
261C2×C4×C107C22×D411yescharacteristic
262C2×C4×C107C2×#4111yescharacteristic
263C8×C107—21no—
264C8×C107—21no—
265C8×C107—21no—
266C8×C107—21no—
267C8×C107—21no—
268C8×C107—21no—
269C8×C107—21no—
270C8×C107—21no—
271C8×C107—41no—
272C8×C107—41no—
273C8×C107—41no—
274C8×C107—41no—
275C8×C107—41no—
276C8×C107—41no—
277C22×C107—21no—
278C22×C107—22no—
279C22×C107—21no—
280C22×C107—21no—
281C22×C107—41no—
282C22×C107—41no—
283C22×C107—41no—
284C22×C107—41no—
285C22×C107—41no—
286C22×C107—41no—
287C22×C107—41no—
288C22×C107—41no—
289C22×C107—41no—
290C22×C107—41no—
291C22×C107—41no—
292C22×C107—84no—
293C22×C107C2×C4×D411yescharacteristic
294C4×C107—21no—
295C4×C107—21no—
296C4×C107—21no—
297C4×C107—21no—
298C4×C107—41no—
299C4×C107—41no—
300C4×C107—41no—
301C4×C107—41no—
302C4×C107C2×#13111yescharacteristic
303C4×C107#56811yescharacteristic
304C4×C107#57611yescharacteristic
305C4×C107#57611yescharacteristic
306#18026C10711yesmaximal, characteristic, direct product factor, Sylow
307C2×C107—41no—
308C2×C107—42no—
309C2×C107—81no—
310C2×C107—81no—
311C2×C107—81no—
312C2×C107#293311yescharacteristic
313C2×C107#294811yescharacteristic
314C2×C107#295511yescharacteristic
315#3100C2×C10711yescharacteristic
316#2979C2×C10711yescharacteristic, complemented
317#2974C2×C10711yescharacteristic, complemented
318#1594C2×C10711yescharacteristic, complemented
319#1589C2×C10711yescharacteristic, complemented
320#1586C2×C10711yescharacteristic, complemented
321#1586C2×C10711yescharacteristic, complemented
322#1581C2×C10711yescharacteristic, complemented
323#1581C2×C10711yescharacteristic, complemented
324#1580C2×C10711yescharacteristic, complemented
325C8×D8C2×C10711yescharacteristic, complemented
326#1572C2×C10711yescharacteristic, complemented
327#1496C2×C10711yescharacteristic, complemented
328#1478C2×C10711yescharacteristic, complemented
329#1454C2×C10711yescharacteristic, complemented
330C107#1802611yescharacteristic, direct product factor, Sylow
331#532C22×C10711yescharacteristic
332C2×C4×D4C22×C10711yescharacteristic
333#480C4×C10711yescharacteristic
334#480C4×C10711yescharacteristic
335#474C4×C10711yescharacteristic
336#474C4×C10711yescharacteristic
337#459C4×C10711yescharacteristic
338#459C4×C10711yescharacteristic
339#447C4×C10711yescharacteristic
340#447C4×C10711yescharacteristic
341C4×D8C22×C10711yescharacteristic
342C4×D8C22×C10711yescharacteristic
343C4×D8C22×C10711yescharacteristic
344C4×D8C22×C10711yescharacteristic
345#436—21no—
346#436C22×C10711yescharacteristic
347#436C22×C10711yescharacteristic
348#436C22×C10711yescharacteristic, complemented
349#436C22×C10711yescharacteristic, complemented
350#435—21no—
351#435—21no—
352C8×D4—21no—
353C8×D4C22×C10711yescharacteristic
354C8×D4C22×C10711yescharacteristic
355C8×D4C22×C10711yescharacteristic, complemented
356C8×D4C22×C10711yescharacteristic, complemented
357#432C22×C10711yescharacteristic
358#431C22×C10711yescharacteristic
359#431C22×C10711yescharacteristic
360#431C22×C10711yescharacteristic
361#431C22×C10711yescharacteristic
362#408—21no—
363#408—21no—
364#407—21no—
365C2×C22⋊C8—21no—
366#335C22×C10711yescharacteristic, complemented
367#335C22×C10711yescharacteristic, complemented
368#334C22×C10711yescharacteristic, complemented
369#334C22×C10711yescharacteristic, complemented
370D4⋊C8C22×C10711yescharacteristic
371D4⋊C8C22×C10711yescharacteristic
372D4⋊C8C22×C10711yescharacteristic
373D4⋊C8C22×C10711yescharacteristic
374D4⋊C8C22×C10711yescharacteristic, complemented
375D4⋊C8C22×C10711yescharacteristic, complemented
376D4⋊C8C22×C10711yescharacteristic, complemented
377D4⋊C8C22×C10711yescharacteristic, complemented
378#322C22×C10711yescharacteristic, complemented
379#322C22×C10711yescharacteristic, complemented
380#322C22×C10711yescharacteristic, complemented
381C82C22×C10711yescharacteristic, complemented
382C2×#41—21no—
383C22×D4C2×C4×C10711yescharacteristic
384C23×C4—21no—
385C2×D8C2×C4×C10711yescharacteristic
386C2×D8C2×C4×C10711yescharacteristic
387C2×D8C2×C4×C10711yescharacteristic
388C2×D8C2×C4×C10711yescharacteristic
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×C10711yescharacteristic
398#127C2×C4×C10711yescharacteristic
399#124—21no—
400#121—21no—
401#121C2×C4×C10711yescharacteristic
402#121C2×C4×C10711yescharacteristic
403C4×D4—21no—
404C4×D4—21no—
405C4×D4—21no—
406C4×D4C2×C4×C10711yescharacteristic
407C4×D4C2×C4×C10711yescharacteristic
408C4×D4C23×C10711yescharacteristic
409C4×D4C23×C10711yescharacteristic
410C4×D4C23×C10711yescharacteristic
411C4×D4C23×C10711yescharacteristic
412C2×C4⋊C4C2×C4×C10711yescharacteristic
413C2×C22⋊C4—21no—
414C2×C42C23×C10711yescharacteristic
415#107C2×C4×C10711yescharacteristic
416#107C2×C4×C10711yescharacteristic
417#107C2×C4×C10711yescharacteristic
418#107C2×C4×C10711yescharacteristic
419C4⋊C8—21no—
420C4⋊C8C2×C4×C10711yescharacteristic
421C4⋊C8C2×C4×C10711yescharacteristic
422C4⋊C8D4×C10711yescharacteristic
423C4⋊C8D4×C10711yescharacteristic
424C4⋊C8C23×C10711yescharacteristic
425C4⋊C8C23×C10711yescharacteristic
426C4⋊C8C23×C10711yescharacteristic
427C4⋊C8C23×C10711yescharacteristic
428#102C2×C4×C10711yescharacteristic
429#102C2×C4×C10711yescharacteristic
430#102C2×C4×C10711yescharacteristic
431#102C2×C4×C10711yescharacteristic
432#102C2×C4×C10711yescharacteristic
433#102C2×C4×C10711yescharacteristic
434#102C2×C4×C10711yescharacteristic
435#102C2×C4×C10711yescharacteristic
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×C10711yescharacteristic
448C22⋊C8C2×C4×C10711yescharacteristic
449C22⋊C8D4×C10711yescharacteristic
450C22⋊C8D4×C10711yescharacteristic
451#97—21no—
452C4×C8—21no—
453C4×C8C23×C10711yescharacteristic
454C4×C8C23×C10711yescharacteristic
455C4×C8C23×C10711yescharacteristic
456C4×C8C23×C10711yescharacteristic
457C4×C8C23×C10711yescharacteristic
458C4×C8C23×C10711yescharacteristic
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×C10711yescharacteristic
471C2×D4C22×C4×C10711yescharacteristic
472C2×D4C22×C4×C10711yescharacteristic
473C2×D4C22×C4×C10711yescharacteristic
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×C10711yescharacteristic
484C22×C4C2×D4×C10711yescharacteristic
485C22×C4#41×C10711yescharacteristic
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×C10711yescharacteristic
505C2×C8C22×C4×C10711yescharacteristic
506C2×C8C22×C4×C10711yescharacteristic
507C2×C8C22×C4×C10711yescharacteristic
508C2×C8C2×D4×C10711yescharacteristic
509C2×C8C2×D4×C10711yescharacteristic
510C2×C8C2×D4×C10711yescharacteristic
511C2×C8C2×D4×C10711yescharacteristic
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4C22×C4×C10711yescharacteristic
515C4⋊C4C22×C4×C10711yescharacteristic
516C4⋊C4C22×C4×C10711yescharacteristic
517C4⋊C4C22×C4×C10711yescharacteristic
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×C10711yescharacteristic
527C42C2×D4×C10711yescharacteristic
528C42#41×C10711yescharacteristic
529C42C24×C10711yescharacteristic
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—42no—
535C23—42no—
536C23—81no—
537C23C4×D4×C10711yescharacteristic
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×C10712yes—
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×C10711yescharacteristic
573C2×C4C4×D4×C10711yescharacteristic
574C2×C4C4×D4×C10711yescharacteristic
575C2×C4C23×C4×C10711yescharacteristic
576C2×C4C22×D4×C10711yescharacteristic
577C2×C4C2×#41×C10711yescharacteristic
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×C10711yescharacteristic
609C4—21no—
610C4—21no—
611C4—21no—
612C4—21no—
613C4—41no—
614C4—41no—
615C4—41no—
616C4—41no—
617C4C2×#131×C10711yescharacteristic
618C4#568×C10711yescharacteristic
619C4#576×C10711yescharacteristic
620C4#576×C10711yescharacteristic
621C2—41no—
622C2—42no—
623C2—81no—
624C2—81no—
625C2—81no—
626C2C107×#293311yescharacteristic
627C2C107×#294811yescharacteristic
628C2C107×#295511yescharacteristic
subgroupG/H
centerC2×C4×C107C22×D4
commutatorC2×C4C23×C4×C107
Frattini, cosocleC42C24×C107
socleC22×C107C2×C4×D4
prime radicalC107×#3100C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C107 ◁ #431×C107 ◁ G

Complements

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

NH ≅ G/Ntype
2. C107×#2979C2semidirect
3. C107×#2974C2semidirect
4. C107×#1594C2semidirect
5. C107×#1589C2semidirect
6. C107×#1586C2semidirect
7. C107×#1586C2semidirect
8. C107×#1581C2semidirect
9. C107×#1581C2semidirect
10. C107×#1580C2semidirect
11. C8×D8×C107C2semidirect
12. C107×#1572C2semidirect
13. C107×#1496C2semidirect
14. C107×#1478C2semidirect
15. C107×#1454C2semidirect
33. #436×C107C22semidirect
34. #436×C107C22semidirect
40. C8×D4×C107C22semidirect
41. C8×D4×C107C22semidirect
51. #335×C107C22semidirect
52. #335×C107C22semidirect
53. #334×C107C22semidirect
54. #334×C107C22semidirect
59. D4⋊C8×C107C22semidirect
60. D4⋊C8×C107C22semidirect
61. D4⋊C8×C107C22semidirect
62. D4⋊C8×C107C22semidirect
63. #322×C107C22semidirect
64. #322×C107C22semidirect
65. #322×C107C22semidirect
66. C82×C107C22semidirect
306. #18026C107direct (N × H)
316. #2979C2×C107semidirect
317. #2974C2×C107semidirect
318. #1594C2×C107semidirect
319. #1589C2×C107semidirect
320. #1586C2×C107semidirect
321. #1586C2×C107semidirect
322. #1581C2×C107semidirect
323. #1581C2×C107semidirect
324. #1580C2×C107semidirect
325. C8×D8C2×C107semidirect
326. #1572C2×C107semidirect
327. #1496C2×C107semidirect
328. #1478C2×C107semidirect
329. #1454C2×C107semidirect
330. C107#18026direct (N × H)
348. #436C22×C107semidirect
349. #436C22×C107semidirect
355. C8×D4C22×C107semidirect
356. C8×D4C22×C107semidirect
366. #335C22×C107semidirect
367. #335C22×C107semidirect
368. #334C22×C107semidirect
369. #334C22×C107semidirect
374. D4⋊C8C22×C107semidirect
375. D4⋊C8C22×C107semidirect
376. D4⋊C8C22×C107semidirect
377. D4⋊C8C22×C107semidirect
378. #322C22×C107semidirect
379. #322C22×C107semidirect
380. #322C22×C107semidirect
381. C82C22×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#31002
C107×#29792
C107×#29742
C107×#15942
C107×#15892
C107×#15862
C107×#15812
C107×#15802
C8×D8×C1072
C107×#15722
C107×#14962
C107×#14782
C107×#14542
#18026107