Finite Group Databasebeta

← C107×#34445 #41060409

Subgroups — C107×#34445 #41060409

Order 27392.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1300 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#541×C107C211yesmaximal, characteristic
2C107×#2383C211yesmaximal, characteristic
3C107×#2382C211yesmaximal, characteristic, complemented
4C107×#2381C211yesmaximal, characteristic, complemented
5C107×#2378C211yesmaximal, characteristic
6C107×#2373C211yesmaximal, characteristic
7C107×#2373C211yesmaximal, characteristic
8C107×#2373C211yesmaximal, characteristic
9C107×#2371C211yesmaximal, characteristic, complemented
10C107×#2370C211yesmaximal, characteristic, complemented
11C107×#2370C211yesmaximal, characteristic, complemented
12C107×#2369C211yesmaximal, characteristic, complemented
13C107×#2368C211yesmaximal, characteristic
14C107×#2356C211yesmaximal, characteristic, complemented
15C107×#2355C211yesmaximal, characteristic, complemented
16C107×#2347C211yesmaximal, characteristic
17C107×#2343C211yesmaximal, characteristic
18C107×#2336C211yesmaximal, characteristic, complemented
19C107×#2336C211yesmaximal, characteristic, complemented
20C107×#2336C211yesmaximal, characteristic, complemented
21C107×#2336C211yesmaximal, characteristic, complemented
22C107×#2334C211yesmaximal, characteristic
23C107×#2334C211yesmaximal, characteristic
24C107×#2334C211yesmaximal, characteristic
25C107×#2332C211yesmaximal, characteristic
26C107×#2330C211yesmaximal, characteristic, complemented
27C107×#2329C211yesmaximal, characteristic
28C107×#2320C211yesmaximal, characteristic, complemented
29C4×#125×C107C211yesmaximal, characteristic, complemented
30C4×#126×C107C211yesmaximal, characteristic
31C107×#2295C211yesmaximal, characteristic, complemented
32#541×C107C4116yescomplemented
33C2×C4⋊Q8×C107C2211yescharacteristic
34C2×#126×C107C2211yescharacteristic
35C2×#126×C107C2211yescharacteristic
36C2×#126×C107C2211yescharacteristic
37C2×#126×C107C2211yescharacteristic
38C2×#125×C107C2211yescharacteristic
39C2×#125×C107C2211yescharacteristic
40C2×#125×C107C2211yescharacteristic
41C2×#125×C107C2211yescharacteristic
42C2×#125×C107C2211yescharacteristic
43C2×C22⋊Q8×C107C2211yescharacteristic
44C2×C22⋊Q8×C107C2211yescharacteristic
45C2×C4×Q8×C107C2211yescharacteristic
46C2×C4×Q8×C107C2211yescharacteristic
47C2×#117×C107C2211yescharacteristic
48#391×C107C2211yescharacteristic
49#391×C107C2211yescharacteristic
50#391×C107C2211yescharacteristic
51#391×C107C2211yescharacteristic
52#391×C107C2211yescharacteristic
53#391×C107C2211yescharacteristic
54#391×C107C2211yescharacteristic
55#391×C107C2211yescharacteristic
56#389×C107C2211yescharacteristic
57#389×C107C2211yescharacteristic
58#389×C107C2211yescharacteristic
59#389×C107C2211yescharacteristic
60#389×C107C2211yescharacteristic
61#389×C107C2211yescharacteristic
62#389×C107C2211yescharacteristic
63#389×C107C2211yescharacteristic
64#389×C107C2211yescharacteristic
65#389×C107C2211yescharacteristic
66#389×C107C2211yescharacteristic
67#389×C107C2211yescharacteristic
68#389×C107C2211yescharacteristic
69#389×C107C2211yescharacteristic
70#389×C107C2211yescharacteristic
71#389×C107C2211yescharacteristic
72#389×C107C2211yescharacteristic
73#389×C107C2211yescharacteristic
74#388×C107C2211yescharacteristic
75#388×C107C2211yescharacteristic
76#388×C107C2211yescharacteristic
77#388×C107C2211yescharacteristic
78#388×C107C2211yescharacteristic
79#388×C107C2211yescharacteristic
80#388×C107C2211yescharacteristic
81#388×C107C2211yescharacteristic
82#388×C107C2211yescharacteristic
83#388×C107C2211yescharacteristic
84#388×C107C2211yescharacteristic
85#388×C107C2211yescharacteristic
86#387×C107C2211yescharacteristic
87#387×C107C2211yescharacteristic
88#387×C107C2211yescharacteristic
89#387×C107C2211yescharacteristic
90#387×C107C2211yescharacteristic
91#387×C107C2211yescharacteristic
92#387×C107C2211yescharacteristic
93#387×C107C2211yescharacteristic
94#387×C107C2211yescharacteristic
95#387×C107C2211yescharacteristic
96#387×C107C2211yescharacteristic
97#387×C107C2211yescharacteristic
98#387×C107C2211yescharacteristic
99#387×C107C2211yescharacteristic
100#387×C107C2211yescharacteristic
101#387×C107C2211yescharacteristic
102#387×C107C2211yescharacteristic
103#387×C107C2211yescharacteristic
104#387×C107C2211yescharacteristic
105#387×C107C2211yescharacteristic
106#387×C107C2211yescharacteristic
107#387×C107C2211yescharacteristic
108#387×C107C2211yescharacteristic
109#387×C107C2211yescharacteristic
110#387×C107C2211yescharacteristic
111#387×C107C2211yescharacteristic
112#387×C107C2211yescharacteristic
113#387×C107C2211yescharacteristic
114#387×C107C2211yescharacteristic
115#387×C107C2211yescharacteristic
116#387×C107C2211yescharacteristic
117#387×C107C2211yescharacteristic
118#387×C107C2211yescharacteristic
119#387×C107C2211yescharacteristic
120#387×C107C2211yescharacteristic
121#387×C107C2211yescharacteristic
122#387×C107C2211yescharacteristic
123#387×C107C2211yescharacteristic
124#387×C107C2211yescharacteristic
125#387×C107C2211yescharacteristic
126#387×C107C2211yescharacteristic
127#387×C107C2211yescharacteristic
128#387×C107C2211yescharacteristic
129#387×C107C2211yescharacteristic
130#385×C107C2211yescharacteristic
131#385×C107C2211yescharacteristic
132#385×C107C2211yescharacteristic
133#385×C107C2211yescharacteristic
134#385×C107C2211yescharacteristic
135#385×C107C2211yescharacteristic
136#384×C107C2211yescharacteristic
137#383×C107C2211yescharacteristic
138#383×C107C2211yescharacteristic
139#383×C107C2211yescharacteristic
140#383×C107C2211yescharacteristic
141#383×C107C2211yescharacteristic
142#382×C107C2211yescharacteristic
143#382×C107C2211yescharacteristic
144#382×C107C2211yescharacteristic
145#382×C107C2211yescharacteristic
146#381×C107C2211yescharacteristic
147#380×C107C2211yescharacteristic
148C4×C4⋊C4×C107C2211yescharacteristic
149C4×C4⋊C4×C107C2211yescharacteristic
150C4×C4⋊C4×C107C2211yescharacteristic
151C4×C4⋊C4×C107C2211yescharacteristic
152C4×C4⋊C4×C107C2211yescharacteristic
153C4×C4⋊C4×C107C2211yescharacteristic
154C4×C4⋊C4×C107C2211yescharacteristic
155C4×C4⋊C4×C107C2211yescharacteristic
156C4×C4⋊C4×C107C2211yescharacteristic
157C4×C4⋊C4×C107C2211yescharacteristic
158C4×C4⋊C4×C107C2211yescharacteristic
159C4×C4⋊C4×C107C2211yescharacteristic
160C4×C4⋊C4×C107C2211yescharacteristic
161C4×C4⋊C4×C107C2211yescharacteristic
162C4×C4⋊C4×C107C2211yescharacteristic
163C4×C4⋊C4×C107C2211yescharacteristic
164C4×C4⋊C4×C107C2211yescharacteristic
165C4×C4⋊C4×C107C2211yescharacteristic
166C4×C4⋊C4×C107C2211yescharacteristic
167C4×C4⋊C4×C107C2211yescharacteristic
168C4×C4⋊C4×C107C2211yescharacteristic
169C4×C4⋊C4×C107C2211yescharacteristic
170C4×C4⋊C4×C107C2211yescharacteristic
171C4×C4⋊C4×C107C2211yescharacteristic
172C4×C4⋊C4×C107C2211yescharacteristic
173C4×C4⋊C4×C107C2211yescharacteristic
174C4×C4⋊C4×C107C2211yescharacteristic
175C4×C22⋊C4×C107C2211yescharacteristic
176C4×C22⋊C4×C107C2211yescharacteristic
177C4×C22⋊C4×C107C2211yescharacteristic
178C4×C22⋊C4×C107C2211yescharacteristic
179C4×C22⋊C4×C107C2211yescharacteristic
180C4×C22⋊C4×C107C2211yescharacteristic
181C4×C22⋊C4×C107C2211yescharacteristic
182#376×C107C2211yescharacteristic
183#376×C107C2211yescharacteristic
184#376×C107C2211yescharacteristic
185#376×C107C2211yescharacteristic
186C2×#95×C107C2211yescharacteristic
187C43×C107C2211yescharacteristic
188C22×Q8×C107C2311yescharacteristic
189C22×Q8×C107C2311yescharacteristic
190C23×C4×C107C2311yescharacteristic
191C23×C4×C107C2311yescharacteristic
192C23×C4×C107C2311yescharacteristic
193C4⋊Q8×C107C2×C418yescomplemented
194#126×C107C2×C418yes—
195#126×C107C2×C418yes—
196#126×C107C2×C418yes—
197#126×C107C2×C418yes—
198#125×C107C2×C418yescomplemented
199#125×C107C2×C418yescomplemented
200#125×C107C2×C418yescomplemented
201#125×C107C2×C418yescomplemented
202#125×C107C2×C418yescomplemented
203C22⋊Q8×C107C2×C418yes—
204C22⋊Q8×C107C2×C418yes—
205C4×Q8×C107C2×C418yescomplemented
206C4×Q8×C107C2×C418yescomplemented
207#117×C107C2×C418yes—
208C2×C4⋊C4×C107C2311yescharacteristic
209C2×C4⋊C4×C107C2311yescharacteristic
210C2×C4⋊C4×C107C2311yescharacteristic
211C2×C4⋊C4×C107C2311yescharacteristic
212C2×C4⋊C4×C107C2311yescharacteristic
213C2×C4⋊C4×C107C2311yescharacteristic
214C2×C4⋊C4×C107C2311yescharacteristic
215C2×C4⋊C4×C107C2311yescharacteristic
216C2×C4⋊C4×C107C2311yescharacteristic
217C2×C4⋊C4×C107C2311yescharacteristic
218C2×C4⋊C4×C107C2311yescharacteristic
219C2×C4⋊C4×C107C2311yescharacteristic
220C2×C4⋊C4×C107C2311yescharacteristic
221C2×C4⋊C4×C107C2311yescharacteristic
222C2×C4⋊C4×C107C2311yescharacteristic
223C2×C4⋊C4×C107C2311yescharacteristic
224C2×C4⋊C4×C107C2311yescharacteristic
225C2×C4⋊C4×C107C2311yescharacteristic
226C2×C4⋊C4×C107C2311yescharacteristic
227C2×C4⋊C4×C107C2311yescharacteristic
228C2×C4⋊C4×C107C2311yescharacteristic
229C2×C4⋊C4×C107C2311yescharacteristic
230C2×C4⋊C4×C107C2311yescharacteristic
231C2×C4⋊C4×C107C2311yescharacteristic
232C2×C4⋊C4×C107C2311yescharacteristic
233C2×C4⋊C4×C107C2311yescharacteristic
234C2×C4⋊C4×C107C2311yescharacteristic
235C2×C4⋊C4×C107C2311yescharacteristic
236C2×C4⋊C4×C107C2311yescharacteristic
237C2×C4⋊C4×C107C2311yescharacteristic
238C2×C4⋊C4×C107C2311yescharacteristic
239C2×C4⋊C4×C107C2311yescharacteristic
240C2×C4⋊C4×C107C2311yescharacteristic
241C2×C4⋊C4×C107C2311yescharacteristic
242C2×C4⋊C4×C107C2311yescharacteristic
243C2×C4⋊C4×C107C2311yescharacteristic
244C2×C4⋊C4×C107C2311yescharacteristic
245C2×C4⋊C4×C107C2311yescharacteristic
246C2×C4⋊C4×C107C2311yescharacteristic
247C2×C4⋊C4×C107C2311yescharacteristic
248C2×C4⋊C4×C107C2311yescharacteristic
249C2×C4⋊C4×C107C2311yescharacteristic
250C2×C4⋊C4×C107C2311yescharacteristic
251C2×C4⋊C4×C107C2311yescharacteristic
252C2×C4⋊C4×C107C2311yescharacteristic
253C2×C4⋊C4×C107C2311yescharacteristic
254C2×C22⋊C4×C107C2311yescharacteristic
255C2×C22⋊C4×C107C2311yescharacteristic
256C2×C22⋊C4×C107C2311yescharacteristic
257C2×C22⋊C4×C107C2311yescharacteristic
258C2×C22⋊C4×C107C2311yescharacteristic
259C2×C22⋊C4×C107C2311yescharacteristic
260C2×C22⋊C4×C107C2311yescharacteristic
261C2×C22⋊C4×C107C2311yescharacteristic
262C2×C22⋊C4×C107C2311yescharacteristic
263C2×C22⋊C4×C107C2311yescharacteristic
264C2×C22⋊C4×C107C2311yescharacteristic
265C2×C22⋊C4×C107C2311yescharacteristic
266C2×C42×C107C2311yescharacteristic
267C2×C42×C107C2311yescharacteristic
268C2×C42×C107C2311yescharacteristic
269C2×C42×C107C2311yescharacteristic
270C2×C42×C107C2311yescharacteristic
271C2×C42×C107C2311yescharacteristic
272C2×C42×C107C2311yescharacteristic
273C2×C42×C107C2311yescharacteristic
274C2×C42×C107C2311yescharacteristic
275C2×C42×C107C2311yescharacteristic
276C2×C42×C107C2311yescharacteristic
277C2×C42×C107C2311yescharacteristic
278C2×C42×C107C2311yescharacteristic
279C2×C42×C107C2311yescharacteristic
280C2×C42×C107C2311yescharacteristic
281C2×C42×C107C2311yescharacteristic
282C2×C42×C107C2311yescharacteristic
283C2×C42×C107C2311yescharacteristic
284C2×C42×C107C2311yescharacteristic
285C2×C42×C107C2311yescharacteristic
286C2×C42×C107C2311yescharacteristic
287C2×C42×C107C2311yescharacteristic
288C2×C42×C107C2311yescharacteristic
289C2×C42×C107C2311yescharacteristic
290C2×C42×C107C2311yescharacteristic
291C2×C42×C107C2311yescharacteristic
292C2×C42×C107C2311yescharacteristic
293C2×C42×C107C2311yescharacteristic
294C2×C42×C107C2311yescharacteristic
295C2×C42×C107C2311yescharacteristic
296C2×C42×C107C2311yescharacteristic
297C2×C42×C107C2311yescharacteristic
298#95×C107C2311yescharacteristic
299#95×C107C2311yescharacteristic
300#95×C107C2311yescharacteristic
301#95×C107C2311yescharacteristic
302#95×C107C2311yescharacteristic
303#95×C107C2311yescharacteristic
304#95×C107C2311yescharacteristic
305#95×C107C2311yescharacteristic
306#95×C107C2311yescharacteristic
307#95×C107C2311yescharacteristic
308#95×C107C2311yescharacteristic
309#95×C107C2311yescharacteristic
310#95×C107C2311yescharacteristic
311#95×C107C2311yescharacteristic
312#95×C107C2311yescharacteristic
313#95×C107C2311yescharacteristic
314#95×C107C2311yescharacteristic
315#95×C107C2311yescharacteristic
316#95×C107C2311yescharacteristic
317#95×C107C2311yescharacteristic
318#95×C107C2311yescharacteristic
319#95×C107C2311yescharacteristic
320#95×C107C2311yescharacteristic
321#95×C107C2311yescharacteristic
322#95×C107C2311yescharacteristic
323#95×C107C2311yescharacteristic
324#95×C107C2311yescharacteristic
325#95×C107C2311yescharacteristic
326#95×C107C2311yescharacteristic
327#95×C107C2311yescharacteristic
328#95×C107C2311yescharacteristic
329#95×C107C2311yescharacteristic
330#95×C107C2311yescharacteristic
331#95×C107C2311yescharacteristic
332#95×C107C2311yescharacteristic
333#95×C107C2311yescharacteristic
334#95×C107C2311yescharacteristic
335#95×C107C2311yescharacteristic
336#95×C107C2311yescharacteristic
337#95×C107C2311yescharacteristic
338#95×C107C2311yescharacteristic
339#95×C107C2311yescharacteristic
340#95×C107C2311yescharacteristic
341#95×C107C2311yescharacteristic
342#95×C107C2311yescharacteristic
343#95×C107C2311yescharacteristic
344#95×C107C2311yescharacteristic
345#95×C107C2311yescharacteristic
346#95×C107C2311yescharacteristic
347#95×C107C2311yescharacteristic
348#95×C107C2311yescharacteristic
349#95×C107C2311yescharacteristic
350#95×C107C2311yescharacteristic
351#95×C107C2311yescharacteristic
352#95×C107C2311yescharacteristic
353#95×C107C2311yescharacteristic
354#95×C107C2311yescharacteristic
355#95×C107C2311yescharacteristic
356#95×C107C2311yescharacteristic
357#95×C107C2311yescharacteristic
358C24×C107C2411yescharacteristic
359C2×Q8×C107—41no—
360C2×Q8×C107—41no—
361C2×Q8×C107—41no—
362C2×Q8×C107—41no—
363C2×Q8×C107C22×C414yes—
364C2×Q8×C107C22×C414yes—
365C22×C4×C107—22no—
366C22×C4×C107—41no—
367C22×C4×C107—41no—
368C22×C4×C107—41no—
369C22×C4×C107—41no—
370C22×C4×C107—41no—
371C22×C4×C107—41no—
372C22×C4×C107—41no—
373C22×C4×C107C22×C414yes—
374C22×C4×C107C2411yescharacteristic
375C22×C4×C107C2411yescharacteristic
376C22×C4×C107C2411yescharacteristic
377C22×C4×C107C2411yescharacteristic
378C22×C4×C107C2411yescharacteristic
379C22×C4×C107C2411yescharacteristic
380C22×C4×C107C2411yescharacteristic
381C22×C4×C107C2411yescharacteristic
382C22×C4×C107C2411yescharacteristic
383C22×C4×C107C2411yescharacteristic
384C22×C4×C107C2411yescharacteristic
385C22×C4×C107C2411yescharacteristic
386C22×C4×C107C2411yescharacteristic
387C22×C4×C107C2411yescharacteristic
388C22×C4×C107C2411yescharacteristic
389C22×C4×C107C2411yescharacteristic
390C22×C4×C107C2411yescharacteristic
391C22×C4×C107C2411yescharacteristic
392C22×C4×C107C2411yescharacteristic
393C22×C4×C107C2411yescharacteristic
394C22×C4×C107C2411yescharacteristic
395C22×C4×C107C2411yescharacteristic
396C22×C4×C107C2411yescharacteristic
397C22×C4×C107C2411yescharacteristic
398C22×C4×C107C2411yescharacteristic
399C22×C4×C107C2411yescharacteristic
400C22×C4×C107C2411yescharacteristic
401C22×C4×C107C2411yescharacteristic
402C22×C4×C107C2411yescharacteristic
403C22×C4×C107C2411yescharacteristic
404C4⋊C4×C107—22no—
405C4⋊C4×C107—22no—
406C4⋊C4×C107—22no—
407C4⋊C4×C107—22no—
408C4⋊C4×C107—22no—
409C4⋊C4×C107—41no—
410C4⋊C4×C107—41no—
411C4⋊C4×C107—41no—
412C4⋊C4×C107—41no—
413C4⋊C4×C107—41no—
414C4⋊C4×C107—41no—
415C4⋊C4×C107—41no—
416C4⋊C4×C107—41no—
417C4⋊C4×C107—41no—
418C4⋊C4×C107—41no—
419C4⋊C4×C107—41no—
420C4⋊C4×C107—41no—
421C4⋊C4×C107—41no—
422C4⋊C4×C107—41no—
423C4⋊C4×C107—41no—
424C4⋊C4×C107—41no—
425C4⋊C4×C107—41no—
426C4⋊C4×C107—41no—
427C4⋊C4×C107—41no—
428C4⋊C4×C107—41no—
429C4⋊C4×C107—41no—
430C4⋊C4×C107C22×C414yes—
431C4⋊C4×C107C22×C414yes—
432C4⋊C4×C107C22×C414yes—
433C4⋊C4×C107C22×C414yes—
434C4⋊C4×C107C22×C414yes—
435C4⋊C4×C107C22×C414yes—
436C4⋊C4×C107C22×C414yes—
437C4⋊C4×C107C22×C414yes—
438C4⋊C4×C107C22×C414yes—
439C4⋊C4×C107C22×C414yes—
440C4⋊C4×C107C22×C414yes—
441C4⋊C4×C107C22×C414yes—
442C4⋊C4×C107C22×C414yes—
443C4⋊C4×C107C22×C414yes—
444C4⋊C4×C107C22×C414yes—
445C4⋊C4×C107C22×C414yes—
446C4⋊C4×C107C22×C414yes—
447C4⋊C4×C107C22×C414yes—
448C4⋊C4×C107C22×C414yes—
449C4⋊C4×C107C22×C414yes—
450C22⋊C4×C107—22no—
451C22⋊C4×C107—41no—
452C22⋊C4×C107—41no—
453C22⋊C4×C107—41no—
454C22⋊C4×C107—41no—
455C22⋊C4×C107—41no—
456C22⋊C4×C107C22×C414yes—
457C22⋊C4×C107C22×C414yes—
458C22⋊C4×C107C22×C414yes—
459C22⋊C4×C107C22×C414yes—
460C22⋊C4×C107C22×C414yes—
461C22⋊C4×C107C22×C414yes—
462C42×C107—22no—
463C42×C107—22no—
464C42×C107—22no—
465C42×C107—41no—
466C42×C107—41no—
467C42×C107—41no—
468C42×C107—41no—
469C42×C107—41no—
470C42×C107—41no—
471C42×C107—41no—
472C42×C107—41no—
473C42×C107—41no—
474C42×C107—41no—
475C42×C107—41no—
476C42×C107—41no—
477C42×C107—41no—
478C42×C107—41no—
479C42×C107—41no—
480C42×C107—41no—
481C42×C107—41no—
482C42×C107—41no—
483C42×C107—41no—
484C42×C107—41no—
485C42×C107—41no—
486C42×C107—41no—
487C42×C107—41no—
488C42×C107C22×C414yes—
489C42×C107C22×C414yes—
490C42×C107C22×C414yes—
491C42×C107C22×C414yes—
492C42×C107C22×C414yes—
493C42×C107C22×C414yes—
494C23×C107—21no—
495C23×C107—21no—
496C23×C107—21no—
497C23×C107—21no—
498C23×C107—21no—
499C23×C107—21no—
500C23×C107C23×C412yes—
501C23×C107C2511yescharacteristic
502Q8×C107—44no—
503Q8×C107—44no—
504C2×C4×C107—21no—
505C2×C4×C107—21no—
506C2×C4×C107—21no—
507C2×C4×C107—21no—
508C2×C4×C107—21no—
509C2×C4×C107—21no—
510C2×C4×C107—21no—
511C2×C4×C107—21no—
512C2×C4×C107—21no—
513C2×C4×C107—21no—
514C2×C4×C107—21no—
515C2×C4×C107—21no—
516C2×C4×C107—21no—
517C2×C4×C107—21no—
518C2×C4×C107—21no—
519C2×C4×C107—21no—
520C2×C4×C107—21no—
521C2×C4×C107—21no—
522C2×C4×C107—21no—
523C2×C4×C107—21no—
524C2×C4×C107—21no—
525C2×C4×C107—21no—
526C2×C4×C107—21no—
527C2×C4×C107—21no—
528C2×C4×C107—21no—
529C2×C4×C107—21no—
530C2×C4×C107—21no—
531C2×C4×C107—21no—
532C2×C4×C107—21no—
533C2×C4×C107—21no—
534C2×C4×C107—21no—
535C2×C4×C107—21no—
536C2×C4×C107—21no—
537C2×C4×C107—21no—
538C2×C4×C107—21no—
539C2×C4×C107—21no—
540C2×C4×C107—21no—
541C2×C4×C107—21no—
542C2×C4×C107—21no—
543C2×C4×C107—21no—
544C2×C4×C107—21no—
545C2×C4×C107—21no—
546C2×C4×C107—21no—
547C2×C4×C107—21no—
548C2×C4×C107—21no—
549C2×C4×C107—21no—
550C2×C4×C107—21no—
551C2×C4×C107—21no—
552C2×C4×C107—21no—
553C2×C4×C107—21no—
554C2×C4×C107—21no—
555C2×C4×C107—21no—
556C2×C4×C107—21no—
557C2×C4×C107—21no—
558C2×C4×C107—21no—
559C2×C4×C107—21no—
560C2×C4×C107—21no—
561C2×C4×C107—21no—
562C2×C4×C107—21no—
563C2×C4×C107—21no—
564C2×C4×C107—21no—
565C2×C4×C107—21no—
566C2×C4×C107—21no—
567C2×C4×C107—21no—
568C2×C4×C107—21no—
569C2×C4×C107—21no—
570C2×C4×C107—21no—
571C2×C4×C107—21no—
572C2×C4×C107—21no—
573C2×C4×C107—21no—
574C2×C4×C107—21no—
575C2×C4×C107—21no—
576C2×C4×C107—21no—
577C2×C4×C107—21no—
578C2×C4×C107—44no—
579C2×C4×C107—82no—
580C2×C4×C107—82no—
581C2×C4×C107C23×C412yes—
582C2×C4×C107C23×C412yes—
583C2×C4×C107C23×C412yes—
584C2×C4×C107C23×C412yes—
585C2×C4×C107C23×C412yes—
586C2×C4×C107C23×C412yes—
587C2×C4×C107C23×C412yes—
588C2×C4×C107C23×C412yes—
589C2×C4×C107C23×C412yes—
590C2×C4×C107C23×C412yes—
591C2×C4×C107C23×C412yes—
592C2×C4×C107C23×C412yes—
593C2×C4×C107C23×C412yes—
594C2×C4×C107C23×C412yes—
595C2×C4×C1072−1+412yes—
596C2×C4×C1072−1+412yes—
597C22×C107—22no—
598C22×C107—22no—
599C22×C107—22no—
600C22×C107—41no—
601C22×C107—41no—
602C22×C107—41no—
603C22×C107—41no—
604C22×C107C24×C411yescharacteristic
605C22×C107C2×2−1+411yescharacteristic
606C22×C107C2×2−1+411yescharacteristic
607C22×C107#58511yescharacteristic
608C22×C107#58511yescharacteristic
609C22×C107#58511yescharacteristic
610C22×C107#58511yescharacteristic
611C4×C107—22no—
612C4×C107—22no—
613C4×C107—22no—
614C4×C107—22no—
615C4×C107—22no—
616C4×C107—22no—
617C4×C107—22no—
618C4×C107—22no—
619C4×C107—22no—
620C4×C107—22no—
621C4×C107—22no—
622C4×C107—22no—
623C4×C107—22no—
624C4×C107—22no—
625C4×C107—22no—
626C4×C107—22no—
627C4×C107—41no—
628C4×C107—41no—
629C4×C107—41no—
630C4×C107—41no—
631C4×C107—41no—
632C4×C107—41no—
633C4×C107—41no—
634C4×C107—41no—
635C4×C107—41no—
636C4×C107—41no—
637C4×C107—41no—
638C4×C107—41no—
639C4×C107—41no—
640C4×C107—41no—
641#34445C10711yesmaximal, characteristic, direct product factor, Sylow
642C2×C107—42no—
643C2×C107#342811yescharacteristic
644C2×C107C4×2−1+411yescharacteristic
645C2×C107C4×2−1+411yescharacteristic
646C2×C107#355311yescharacteristic
647C2×C107#355511yescharacteristic
648C2×C107#356411yescharacteristic
649C2×C107#356611yescharacteristic
650C2×#541C2×C10711yescharacteristic
651#2383C2×C10711yescharacteristic
652#2382C2×C10711yescharacteristic, complemented
653#2381C2×C10711yescharacteristic, complemented
654#2378C2×C10711yescharacteristic
655#2373C2×C10711yescharacteristic
656#2373C2×C10711yescharacteristic
657#2373C2×C10711yescharacteristic
658#2371C2×C10711yescharacteristic, complemented
659#2370C2×C10711yescharacteristic, complemented
660#2370C2×C10711yescharacteristic, complemented
661#2369C2×C10711yescharacteristic, complemented
662#2368C2×C10711yescharacteristic
663#2356C2×C10711yescharacteristic, complemented
664#2355C2×C10711yescharacteristic, complemented
665#2347C2×C10711yescharacteristic
666#2343C2×C10711yescharacteristic
667#2336C2×C10711yescharacteristic, complemented
668#2336C2×C10711yescharacteristic, complemented
669#2336C2×C10711yescharacteristic, complemented
670#2336C2×C10711yescharacteristic, complemented
671#2334C2×C10711yescharacteristic
672#2334C2×C10711yescharacteristic
673#2334C2×C10711yescharacteristic
674#2332C2×C10711yescharacteristic
675#2330C2×C10711yescharacteristic, complemented
676#2329C2×C10711yescharacteristic
677#2320C2×C10711yescharacteristic, complemented
678C4×#125C2×C10711yescharacteristic, complemented
679C4×#126C2×C10711yescharacteristic
680#2295C2×C10711yescharacteristic, complemented
681C107#3444511yescharacteristic, direct product factor, Sylow
682#541C4×C107116yescomplemented
683C2×C4⋊Q8C22×C10711yescharacteristic
684C2×#126C22×C10711yescharacteristic
685C2×#126C22×C10711yescharacteristic
686C2×#126C22×C10711yescharacteristic
687C2×#126C22×C10711yescharacteristic
688C2×#125C22×C10711yescharacteristic
689C2×#125C22×C10711yescharacteristic
690C2×#125C22×C10711yescharacteristic
691C2×#125C22×C10711yescharacteristic
692C2×#125C22×C10711yescharacteristic
693C2×C22⋊Q8C22×C10711yescharacteristic
694C2×C22⋊Q8C22×C10711yescharacteristic
695C2×C4×Q8C22×C10711yescharacteristic
696C2×C4×Q8C22×C10711yescharacteristic
697C2×#117C22×C10711yescharacteristic
698#391C22×C10711yescharacteristic
699#391C22×C10711yescharacteristic
700#391C22×C10711yescharacteristic
701#391C22×C10711yescharacteristic
702#391C22×C10711yescharacteristic
703#391C22×C10711yescharacteristic
704#391C22×C10711yescharacteristic
705#391C22×C10711yescharacteristic
706#389C22×C10711yescharacteristic
707#389C22×C10711yescharacteristic
708#389C22×C10711yescharacteristic
709#389C22×C10711yescharacteristic
710#389C22×C10711yescharacteristic
711#389C22×C10711yescharacteristic
712#389C22×C10711yescharacteristic
713#389C22×C10711yescharacteristic
714#389C22×C10711yescharacteristic
715#389C22×C10711yescharacteristic
716#389C22×C10711yescharacteristic
717#389C22×C10711yescharacteristic
718#389C22×C10711yescharacteristic
719#389C22×C10711yescharacteristic
720#389C22×C10711yescharacteristic
721#389C22×C10711yescharacteristic
722#389C22×C10711yescharacteristic
723#389C22×C10711yescharacteristic
724#388C22×C10711yescharacteristic
725#388C22×C10711yescharacteristic
726#388C22×C10711yescharacteristic
727#388C22×C10711yescharacteristic
728#388C22×C10711yescharacteristic
729#388C22×C10711yescharacteristic
730#388C22×C10711yescharacteristic
731#388C22×C10711yescharacteristic
732#388C22×C10711yescharacteristic
733#388C22×C10711yescharacteristic
734#388C22×C10711yescharacteristic
735#388C22×C10711yescharacteristic
736#387C22×C10711yescharacteristic
737#387C22×C10711yescharacteristic
738#387C22×C10711yescharacteristic
739#387C22×C10711yescharacteristic
740#387C22×C10711yescharacteristic
741#387C22×C10711yescharacteristic
742#387C22×C10711yescharacteristic
743#387C22×C10711yescharacteristic
744#387C22×C10711yescharacteristic
745#387C22×C10711yescharacteristic
746#387C22×C10711yescharacteristic
747#387C22×C10711yescharacteristic
748#387C22×C10711yescharacteristic
749#387C22×C10711yescharacteristic
750#387C22×C10711yescharacteristic
751#387C22×C10711yescharacteristic
752#387C22×C10711yescharacteristic
753#387C22×C10711yescharacteristic
754#387C22×C10711yescharacteristic
755#387C22×C10711yescharacteristic
756#387C22×C10711yescharacteristic
757#387C22×C10711yescharacteristic
758#387C22×C10711yescharacteristic
759#387C22×C10711yescharacteristic
760#387C22×C10711yescharacteristic
761#387C22×C10711yescharacteristic
762#387C22×C10711yescharacteristic
763#387C22×C10711yescharacteristic
764#387C22×C10711yescharacteristic
765#387C22×C10711yescharacteristic
766#387C22×C10711yescharacteristic
767#387C22×C10711yescharacteristic
768#387C22×C10711yescharacteristic
769#387C22×C10711yescharacteristic
770#387C22×C10711yescharacteristic
771#387C22×C10711yescharacteristic
772#387C22×C10711yescharacteristic
773#387C22×C10711yescharacteristic
774#387C22×C10711yescharacteristic
775#387C22×C10711yescharacteristic
776#387C22×C10711yescharacteristic
777#387C22×C10711yescharacteristic
778#387C22×C10711yescharacteristic
779#387C22×C10711yescharacteristic
780#385C22×C10711yescharacteristic
781#385C22×C10711yescharacteristic
782#385C22×C10711yescharacteristic
783#385C22×C10711yescharacteristic
784#385C22×C10711yescharacteristic
785#385C22×C10711yescharacteristic
786#384C22×C10711yescharacteristic
787#383C22×C10711yescharacteristic
788#383C22×C10711yescharacteristic
789#383C22×C10711yescharacteristic
790#383C22×C10711yescharacteristic
791#383C22×C10711yescharacteristic
792#382C22×C10711yescharacteristic
793#382C22×C10711yescharacteristic
794#382C22×C10711yescharacteristic
795#382C22×C10711yescharacteristic
796#381C22×C10711yescharacteristic
797#380C22×C10711yescharacteristic
798C4×C4⋊C4C22×C10711yescharacteristic
799C4×C4⋊C4C22×C10711yescharacteristic
800C4×C4⋊C4C22×C10711yescharacteristic
801C4×C4⋊C4C22×C10711yescharacteristic
802C4×C4⋊C4C22×C10711yescharacteristic
803C4×C4⋊C4C22×C10711yescharacteristic
804C4×C4⋊C4C22×C10711yescharacteristic
805C4×C4⋊C4C22×C10711yescharacteristic
806C4×C4⋊C4C22×C10711yescharacteristic
807C4×C4⋊C4C22×C10711yescharacteristic
808C4×C4⋊C4C22×C10711yescharacteristic
809C4×C4⋊C4C22×C10711yescharacteristic
810C4×C4⋊C4C22×C10711yescharacteristic
811C4×C4⋊C4C22×C10711yescharacteristic
812C4×C4⋊C4C22×C10711yescharacteristic
813C4×C4⋊C4C22×C10711yescharacteristic
814C4×C4⋊C4C22×C10711yescharacteristic
815C4×C4⋊C4C22×C10711yescharacteristic
816C4×C4⋊C4C22×C10711yescharacteristic
817C4×C4⋊C4C22×C10711yescharacteristic
818C4×C4⋊C4C22×C10711yescharacteristic
819C4×C4⋊C4C22×C10711yescharacteristic
820C4×C4⋊C4C22×C10711yescharacteristic
821C4×C4⋊C4C22×C10711yescharacteristic
822C4×C4⋊C4C22×C10711yescharacteristic
823C4×C4⋊C4C22×C10711yescharacteristic
824C4×C4⋊C4C22×C10711yescharacteristic
825C4×C22⋊C4C22×C10711yescharacteristic
826C4×C22⋊C4C22×C10711yescharacteristic
827C4×C22⋊C4C22×C10711yescharacteristic
828C4×C22⋊C4C22×C10711yescharacteristic
829C4×C22⋊C4C22×C10711yescharacteristic
830C4×C22⋊C4C22×C10711yescharacteristic
831C4×C22⋊C4C22×C10711yescharacteristic
832#376C22×C10711yescharacteristic
833#376C22×C10711yescharacteristic
834#376C22×C10711yescharacteristic
835#376C22×C10711yescharacteristic
836C2×#95C22×C10711yescharacteristic
837C43C22×C10711yescharacteristic
838C22×Q8C23×C10711yescharacteristic
839C22×Q8C23×C10711yescharacteristic
840C23×C4C23×C10711yescharacteristic
841C23×C4C23×C10711yescharacteristic
842C23×C4C23×C10711yescharacteristic
843C4⋊Q8C2×C4×C10718yescomplemented
844#126C2×C4×C10718yes—
845#126C2×C4×C10718yes—
846#126C2×C4×C10718yes—
847#126C2×C4×C10718yes—
848#125C2×C4×C10718yescomplemented
849#125C2×C4×C10718yescomplemented
850#125C2×C4×C10718yescomplemented
851#125C2×C4×C10718yescomplemented
852#125C2×C4×C10718yescomplemented
853C22⋊Q8C2×C4×C10718yes—
854C22⋊Q8C2×C4×C10718yes—
855C4×Q8C2×C4×C10718yescomplemented
856C4×Q8C2×C4×C10718yescomplemented
857#117C2×C4×C10718yes—
858C2×C4⋊C4C23×C10711yescharacteristic
859C2×C4⋊C4C23×C10711yescharacteristic
860C2×C4⋊C4C23×C10711yescharacteristic
861C2×C4⋊C4C23×C10711yescharacteristic
862C2×C4⋊C4C23×C10711yescharacteristic
863C2×C4⋊C4C23×C10711yescharacteristic
864C2×C4⋊C4C23×C10711yescharacteristic
865C2×C4⋊C4C23×C10711yescharacteristic
866C2×C4⋊C4C23×C10711yescharacteristic
867C2×C4⋊C4C23×C10711yescharacteristic
868C2×C4⋊C4C23×C10711yescharacteristic
869C2×C4⋊C4C23×C10711yescharacteristic
870C2×C4⋊C4C23×C10711yescharacteristic
871C2×C4⋊C4C23×C10711yescharacteristic
872C2×C4⋊C4C23×C10711yescharacteristic
873C2×C4⋊C4C23×C10711yescharacteristic
874C2×C4⋊C4C23×C10711yescharacteristic
875C2×C4⋊C4C23×C10711yescharacteristic
876C2×C4⋊C4C23×C10711yescharacteristic
877C2×C4⋊C4C23×C10711yescharacteristic
878C2×C4⋊C4C23×C10711yescharacteristic
879C2×C4⋊C4C23×C10711yescharacteristic
880C2×C4⋊C4C23×C10711yescharacteristic
881C2×C4⋊C4C23×C10711yescharacteristic
882C2×C4⋊C4C23×C10711yescharacteristic
883C2×C4⋊C4C23×C10711yescharacteristic
884C2×C4⋊C4C23×C10711yescharacteristic
885C2×C4⋊C4C23×C10711yescharacteristic
886C2×C4⋊C4C23×C10711yescharacteristic
887C2×C4⋊C4C23×C10711yescharacteristic
888C2×C4⋊C4C23×C10711yescharacteristic
889C2×C4⋊C4C23×C10711yescharacteristic
890C2×C4⋊C4C23×C10711yescharacteristic
891C2×C4⋊C4C23×C10711yescharacteristic
892C2×C4⋊C4C23×C10711yescharacteristic
893C2×C4⋊C4C23×C10711yescharacteristic
894C2×C4⋊C4C23×C10711yescharacteristic
895C2×C4⋊C4C23×C10711yescharacteristic
896C2×C4⋊C4C23×C10711yescharacteristic
897C2×C4⋊C4C23×C10711yescharacteristic
898C2×C4⋊C4C23×C10711yescharacteristic
899C2×C4⋊C4C23×C10711yescharacteristic
900C2×C4⋊C4C23×C10711yescharacteristic
901C2×C4⋊C4C23×C10711yescharacteristic
902C2×C4⋊C4C23×C10711yescharacteristic
903C2×C4⋊C4C23×C10711yescharacteristic
904C2×C22⋊C4C23×C10711yescharacteristic
905C2×C22⋊C4C23×C10711yescharacteristic
906C2×C22⋊C4C23×C10711yescharacteristic
907C2×C22⋊C4C23×C10711yescharacteristic
908C2×C22⋊C4C23×C10711yescharacteristic
909C2×C22⋊C4C23×C10711yescharacteristic
910C2×C22⋊C4C23×C10711yescharacteristic
911C2×C22⋊C4C23×C10711yescharacteristic
912C2×C22⋊C4C23×C10711yescharacteristic
913C2×C22⋊C4C23×C10711yescharacteristic
914C2×C22⋊C4C23×C10711yescharacteristic
915C2×C22⋊C4C23×C10711yescharacteristic
916C2×C42C23×C10711yescharacteristic
917C2×C42C23×C10711yescharacteristic
918C2×C42C23×C10711yescharacteristic
919C2×C42C23×C10711yescharacteristic
920C2×C42C23×C10711yescharacteristic
921C2×C42C23×C10711yescharacteristic
922C2×C42C23×C10711yescharacteristic
923C2×C42C23×C10711yescharacteristic
924C2×C42C23×C10711yescharacteristic
925C2×C42C23×C10711yescharacteristic
926C2×C42C23×C10711yescharacteristic
927C2×C42C23×C10711yescharacteristic
928C2×C42C23×C10711yescharacteristic
929C2×C42C23×C10711yescharacteristic
930C2×C42C23×C10711yescharacteristic
931C2×C42C23×C10711yescharacteristic
932C2×C42C23×C10711yescharacteristic
933C2×C42C23×C10711yescharacteristic
934C2×C42C23×C10711yescharacteristic
935C2×C42C23×C10711yescharacteristic
936C2×C42C23×C10711yescharacteristic
937C2×C42C23×C10711yescharacteristic
938C2×C42C23×C10711yescharacteristic
939C2×C42C23×C10711yescharacteristic
940C2×C42C23×C10711yescharacteristic
941C2×C42C23×C10711yescharacteristic
942C2×C42C23×C10711yescharacteristic
943C2×C42C23×C10711yescharacteristic
944C2×C42C23×C10711yescharacteristic
945C2×C42C23×C10711yescharacteristic
946C2×C42C23×C10711yescharacteristic
947C2×C42C23×C10711yescharacteristic
948#95C23×C10711yescharacteristic
949#95C23×C10711yescharacteristic
950#95C23×C10711yescharacteristic
951#95C23×C10711yescharacteristic
952#95C23×C10711yescharacteristic
953#95C23×C10711yescharacteristic
954#95C23×C10711yescharacteristic
955#95C23×C10711yescharacteristic
956#95C23×C10711yescharacteristic
957#95C23×C10711yescharacteristic
958#95C23×C10711yescharacteristic
959#95C23×C10711yescharacteristic
960#95C23×C10711yescharacteristic
961#95C23×C10711yescharacteristic
962#95C23×C10711yescharacteristic
963#95C23×C10711yescharacteristic
964#95C23×C10711yescharacteristic
965#95C23×C10711yescharacteristic
966#95C23×C10711yescharacteristic
967#95C23×C10711yescharacteristic
968#95C23×C10711yescharacteristic
969#95C23×C10711yescharacteristic
970#95C23×C10711yescharacteristic
971#95C23×C10711yescharacteristic
972#95C23×C10711yescharacteristic
973#95C23×C10711yescharacteristic
974#95C23×C10711yescharacteristic
975#95C23×C10711yescharacteristic
976#95C23×C10711yescharacteristic
977#95C23×C10711yescharacteristic
978#95C23×C10711yescharacteristic
979#95C23×C10711yescharacteristic
980#95C23×C10711yescharacteristic
981#95C23×C10711yescharacteristic
982#95C23×C10711yescharacteristic
983#95C23×C10711yescharacteristic
984#95C23×C10711yescharacteristic
985#95C23×C10711yescharacteristic
986#95C23×C10711yescharacteristic
987#95C23×C10711yescharacteristic
988#95C23×C10711yescharacteristic
989#95C23×C10711yescharacteristic
990#95C23×C10711yescharacteristic
991#95C23×C10711yescharacteristic
992#95C23×C10711yescharacteristic
993#95C23×C10711yescharacteristic
994#95C23×C10711yescharacteristic
995#95C23×C10711yescharacteristic
996#95C23×C10711yescharacteristic
997#95C23×C10711yescharacteristic
998#95C23×C10711yescharacteristic
999#95C23×C10711yescharacteristic
1000#95C23×C10711yescharacteristic
1001#95C23×C10711yescharacteristic
1002#95C23×C10711yescharacteristic
1003#95C23×C10711yescharacteristic
1004#95C23×C10711yescharacteristic
1005#95C23×C10711yescharacteristic
1006#95C23×C10711yescharacteristic
1007#95C23×C10711yescharacteristic
1008C24C24×C10711yescharacteristic
1009C2×Q8—41no—
1010C2×Q8—41no—
1011C2×Q8—41no—
1012C2×Q8—41no—
1013C2×Q8C22×C4×C10714yes—
1014C2×Q8C22×C4×C10714yes—
1015C22×C4—22no—
1016C22×C4—41no—
1017C22×C4—41no—
1018C22×C4—41no—
1019C22×C4—41no—
1020C22×C4—41no—
1021C22×C4—41no—
1022C22×C4—41no—
1023C22×C4C22×C4×C10714yes—
1024C22×C4C24×C10711yescharacteristic
1025C22×C4C24×C10711yescharacteristic
1026C22×C4C24×C10711yescharacteristic
1027C22×C4C24×C10711yescharacteristic
1028C22×C4C24×C10711yescharacteristic
1029C22×C4C24×C10711yescharacteristic
1030C22×C4C24×C10711yescharacteristic
1031C22×C4C24×C10711yescharacteristic
1032C22×C4C24×C10711yescharacteristic
1033C22×C4C24×C10711yescharacteristic
1034C22×C4C24×C10711yescharacteristic
1035C22×C4C24×C10711yescharacteristic
1036C22×C4C24×C10711yescharacteristic
1037C22×C4C24×C10711yescharacteristic
1038C22×C4C24×C10711yescharacteristic
1039C22×C4C24×C10711yescharacteristic
1040C22×C4C24×C10711yescharacteristic
1041C22×C4C24×C10711yescharacteristic
1042C22×C4C24×C10711yescharacteristic
1043C22×C4C24×C10711yescharacteristic
1044C22×C4C24×C10711yescharacteristic
1045C22×C4C24×C10711yescharacteristic
1046C22×C4C24×C10711yescharacteristic
1047C22×C4C24×C10711yescharacteristic
1048C22×C4C24×C10711yescharacteristic
1049C22×C4C24×C10711yescharacteristic
1050C22×C4C24×C10711yescharacteristic
1051C22×C4C24×C10711yescharacteristic
1052C22×C4C24×C10711yescharacteristic
1053C22×C4C24×C10711yescharacteristic
1054C4⋊C4—22no—
1055C4⋊C4—22no—
1056C4⋊C4—22no—
1057C4⋊C4—22no—
1058C4⋊C4—22no—
1059C4⋊C4—41no—
1060C4⋊C4—41no—
1061C4⋊C4—41no—
1062C4⋊C4—41no—
1063C4⋊C4—41no—
1064C4⋊C4—41no—
1065C4⋊C4—41no—
1066C4⋊C4—41no—
1067C4⋊C4—41no—
1068C4⋊C4—41no—
1069C4⋊C4—41no—
1070C4⋊C4—41no—
1071C4⋊C4—41no—
1072C4⋊C4—41no—
1073C4⋊C4—41no—
1074C4⋊C4—41no—
1075C4⋊C4—41no—
1076C4⋊C4—41no—
1077C4⋊C4—41no—
1078C4⋊C4—41no—
1079C4⋊C4—41no—
1080C4⋊C4C22×C4×C10714yes—
1081C4⋊C4C22×C4×C10714yes—
1082C4⋊C4C22×C4×C10714yes—
1083C4⋊C4C22×C4×C10714yes—
1084C4⋊C4C22×C4×C10714yes—
1085C4⋊C4C22×C4×C10714yes—
1086C4⋊C4C22×C4×C10714yes—
1087C4⋊C4C22×C4×C10714yes—
1088C4⋊C4C22×C4×C10714yes—
1089C4⋊C4C22×C4×C10714yes—
1090C4⋊C4C22×C4×C10714yes—
1091C4⋊C4C22×C4×C10714yes—
1092C4⋊C4C22×C4×C10714yes—
1093C4⋊C4C22×C4×C10714yes—
1094C4⋊C4C22×C4×C10714yes—
1095C4⋊C4C22×C4×C10714yes—
1096C4⋊C4C22×C4×C10714yes—
1097C4⋊C4C22×C4×C10714yes—
1098C4⋊C4C22×C4×C10714yes—
1099C4⋊C4C22×C4×C10714yes—
1100C22⋊C4—22no—
1101C22⋊C4—41no—
1102C22⋊C4—41no—
1103C22⋊C4—41no—
1104C22⋊C4—41no—
1105C22⋊C4—41no—
1106C22⋊C4C22×C4×C10714yes—
1107C22⋊C4C22×C4×C10714yes—
1108C22⋊C4C22×C4×C10714yes—
1109C22⋊C4C22×C4×C10714yes—
1110C22⋊C4C22×C4×C10714yes—
1111C22⋊C4C22×C4×C10714yes—
1112C42—22no—
1113C42—22no—
1114C42—22no—
1115C42—41no—
1116C42—41no—
1117C42—41no—
1118C42—41no—
1119C42—41no—
1120C42—41no—
1121C42—41no—
1122C42—41no—
1123C42—41no—
1124C42—41no—
1125C42—41no—
1126C42—41no—
1127C42—41no—
1128C42—41no—
1129C42—41no—
1130C42—41no—
1131C42—41no—
1132C42—41no—
1133C42—41no—
1134C42—41no—
1135C42—41no—
1136C42—41no—
1137C42—41no—
1138C42C22×C4×C10714yes—
1139C42C22×C4×C10714yes—
1140C42C22×C4×C10714yes—
1141C42C22×C4×C10714yes—
1142C42C22×C4×C10714yes—
1143C42C22×C4×C10714yes—
1144C23—21no—
1145C23—21no—
1146C23—21no—
1147C23—21no—
1148C23—21no—
1149C23—21no—
1150C23C23×C4×C10712yes—
1151C23C25×C10711yescharacteristic
1152Q8—44no—
1153Q8—44no—
1154C2×C4—21no—
1155C2×C4—21no—
1156C2×C4—21no—
1157C2×C4—21no—
1158C2×C4—21no—
1159C2×C4—21no—
1160C2×C4—21no—
1161C2×C4—21no—
1162C2×C4—21no—
1163C2×C4—21no—
1164C2×C4—21no—
1165C2×C4—21no—
1166C2×C4—21no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—21no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—21no—
1180C2×C4—21no—
1181C2×C4—21no—
1182C2×C4—21no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—21no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—44no—
1229C2×C4—82no—
1230C2×C4—82no—
1231C2×C4C23×C4×C10712yes—
1232C2×C4C23×C4×C10712yes—
1233C2×C4C23×C4×C10712yes—
1234C2×C4C23×C4×C10712yes—
1235C2×C4C23×C4×C10712yes—
1236C2×C4C23×C4×C10712yes—
1237C2×C4C23×C4×C10712yes—
1238C2×C4C23×C4×C10712yes—
1239C2×C4C23×C4×C10712yes—
1240C2×C4C23×C4×C10712yes—
1241C2×C4C23×C4×C10712yes—
1242C2×C4C23×C4×C10712yes—
1243C2×C4C23×C4×C10712yes—
1244C2×C4C23×C4×C10712yes—
1245C2×C42−1+4×C10712yes—
1246C2×C42−1+4×C10712yes—
1247C22—22no—
1248C22—22no—
1249C22—22no—
1250C22—41no—
1251C22—41no—
1252C22—41no—
1253C22—41no—
1254C22C24×C4×C10711yescharacteristic
1255C22C2×2−1+4×C10711yescharacteristic
1256C22C2×2−1+4×C10711yescharacteristic
1257C22#585×C10711yescharacteristic
1258C22#585×C10711yescharacteristic
1259C22#585×C10711yescharacteristic
1260C22#585×C10711yescharacteristic
1261C4—22no—
1262C4—22no—
1263C4—22no—
1264C4—22no—
1265C4—22no—
1266C4—22no—
1267C4—22no—
1268C4—22no—
1269C4—22no—
1270C4—22no—
1271C4—22no—
1272C4—22no—
1273C4—22no—
1274C4—22no—
1275C4—22no—
1276C4—22no—
1277C4—41no—
1278C4—41no—
1279C4—41no—
1280C4—41no—
1281C4—41no—
1282C4—41no—
1283C4—41no—
1284C4—41no—
1285C4—41no—
1286C4—41no—
1287C4—41no—
1288C4—41no—
1289C4—41no—
1290C4—41no—
1291C2—42no—
1292C2C107×#342811yescharacteristic
1293C2C4×2−1+4×C10711yescharacteristic
1294C2C4×2−1+4×C10711yescharacteristic
1295C2C107×#355311yescharacteristic
1296C2C107×#355511yescharacteristic
1297C2C107×#356411yescharacteristic
1298C2C107×#356611yescharacteristic
subgroupG/H
center, socleC23×C107C25
commutatorC22C24×C4×C107
Frattini, cosocleC23C25×C107
prime radicalC24×C107C24
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C107 ◁ G

Complements

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

NH ≅ G/Ntype
3. C107×#2382C2semidirect
4. C107×#2381C2semidirect
9. C107×#2371C2semidirect
10. C107×#2370C2semidirect
11. C107×#2370C2semidirect
12. C107×#2369C2semidirect
14. C107×#2356C2semidirect
15. C107×#2355C2semidirect
18. C107×#2336C2semidirect
19. C107×#2336C2semidirect
20. C107×#2336C2semidirect
21. C107×#2336C2semidirect
26. C107×#2330C2semidirect
28. C107×#2320C2semidirect
29. C4×#125×C107C2semidirect
31. C107×#2295C2semidirect
32. #541×C107C4semidirect
193. C4⋊Q8×C107C2×C4semidirect
198. #125×C107C2×C4semidirect
199. #125×C107C2×C4semidirect
200. #125×C107C2×C4semidirect
201. #125×C107C2×C4semidirect
202. #125×C107C2×C4semidirect
205. C4×Q8×C107C2×C4semidirect
206. C4×Q8×C107C2×C4semidirect
641. #34445C107direct (N × H)
652. #2382C2×C107semidirect
653. #2381C2×C107semidirect
658. #2371C2×C107semidirect
659. #2370C2×C107semidirect
660. #2370C2×C107semidirect
661. #2369C2×C107semidirect
663. #2356C2×C107semidirect
664. #2355C2×C107semidirect
667. #2336C2×C107semidirect
668. #2336C2×C107semidirect
669. #2336C2×C107semidirect
670. #2336C2×C107semidirect
675. #2330C2×C107semidirect
677. #2320C2×C107semidirect
678. C4×#125C2×C107semidirect
680. #2295C2×C107semidirect
681. C107#34445direct (N × H)
682. #541C4×C107semidirect
843. C4⋊Q8C2×C4×C107semidirect
848. #125C2×C4×C107semidirect
849. #125C2×C4×C107semidirect
850. #125C2×C4×C107semidirect
851. #125C2×C4×C107semidirect
852. #125C2×C4×C107semidirect
855. C4×Q8C2×C4×C107semidirect
856. C4×Q8C2×C4×C107semidirect

Maximal subgroups

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

subgroupindex
C2×#541×C1072
C107×#23832
C107×#23822
C107×#23812
C107×#23782
C107×#23732
C107×#23712
C107×#23702
C107×#23692
C107×#23682
C107×#23562
C107×#23552
C107×#23472
C107×#23432
C107×#23362
C107×#23342
C107×#23322
C107×#23302
C107×#23292
C107×#23202
C4×#125×C1072
C4×#126×C1072
C107×#22952
#34445107