Finite Group Databasebeta

← C107×#34442 #41060406

Subgroups — C107×#34442 #41060406

Order 27392.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#540×C107C211yesmaximal, characteristic
2C107×#2380C211yesmaximal, characteristic, complemented
3C107×#2377C211yesmaximal, characteristic, complemented
4C107×#2377C211yesmaximal, characteristic, complemented
5C107×#2376C211yesmaximal, characteristic, complemented
6C107×#2374C211yesmaximal, characteristic, complemented
7C107×#2366C211yesmaximal, characteristic, complemented
8C107×#2364C211yesmaximal, characteristic, complemented
9C107×#2364C211yesmaximal, characteristic, complemented
10C107×#2363C211yesmaximal, characteristic, complemented
11C107×#2361C211yesmaximal, characteristic, complemented
12C107×#2359C211yesmaximal, characteristic, complemented
13C107×#2359C211yesmaximal, characteristic, complemented
14C107×#2353C211yesmaximal, characteristic, complemented
15C107×#2352C211yesmaximal, characteristic, complemented
16C107×#2347C211yesmaximal, characteristic, complemented
17C107×#2343C211yesmaximal, characteristic, complemented
18C107×#2336C211yesmaximal, characteristic, complemented
19C107×#2336C211yesmaximal, characteristic, complemented
20C107×#2335C211yesmaximal, characteristic, complemented
21C107×#2335C211yesmaximal, characteristic, complemented
22C107×#2333C211yesmaximal, characteristic, complemented
23C107×#2333C211yesmaximal, characteristic, complemented
24C107×#2325C211yesmaximal, characteristic, complemented
25C107×#2325C211yesmaximal, characteristic, complemented
26C107×#2324C211yesmaximal, characteristic, complemented
27C107×#2322C211yesmaximal, characteristic, complemented
28C107×#2318C211yesmaximal, characteristic, complemented
29C4×#123×C107C211yesmaximal, characteristic, complemented
30C4×#121×C107C211yesmaximal, characteristic, complemented
31C107×#2290C211yesmaximal, characteristic, complemented
32#540×C107C4116yescomplemented
33C2×#127×C107C2211yescharacteristic
34C2×#125×C107C2211yescharacteristic
35C2×#123×C107C2211yescharacteristic
36C2×#123×C107C2211yescharacteristic
37C2×#123×C107C2211yescharacteristic
38C2×#123×C107C2211yescharacteristic
39C2×#121×C107C2211yescharacteristic
40C2×#121×C107C2211yescharacteristic
41C2×#121×C107C2211yescharacteristic
42C2×#121×C107C2211yescharacteristic
43C2×#121×C107C2211yescharacteristic
44C2×#121×C107C2211yescharacteristic
45C2×C4×D4×C107C2211yescharacteristic
46C2×C4×D4×C107C2211yescharacteristic
47C2×C4×D4×C107C2211yescharacteristic
48C2×C4×D4×C107C2211yescharacteristic
49C2×C4×D4×C107C2211yescharacteristic
50C2×C4×D4×C107C2211yescharacteristic
51C2×C4×D4×C107C2211yescharacteristic
52C2×C4×D4×C107C2211yescharacteristic
53C2×C4×D4×C107C2211yescharacteristic
54C2×C4×D4×C107C2211yescharacteristic
55C2×#117×C107C2211yescharacteristic
56C2×#117×C107C2211yescharacteristic
57C2×#117×C107C2211yescharacteristic
58C22×C4⋊C4×C107C2211yescharacteristic
59C22×C42×C107C2211yescharacteristic
60#390×C107C2211yescharacteristic
61#390×C107C2211yescharacteristic
62#390×C107C2211yescharacteristic
63#390×C107C2211yescharacteristic
64#390×C107C2211yescharacteristic
65#390×C107C2211yescharacteristic
66#390×C107C2211yescharacteristic
67#390×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#388×C107C2211yescharacteristic
87#388×C107C2211yescharacteristic
88#388×C107C2211yescharacteristic
89#388×C107C2211yescharacteristic
90#388×C107C2211yescharacteristic
91#388×C107C2211yescharacteristic
92#388×C107C2211yescharacteristic
93#388×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#386×C107C2211yescharacteristic
115#386×C107C2211yescharacteristic
116#386×C107C2211yescharacteristic
117#386×C107C2211yescharacteristic
118#386×C107C2211yescharacteristic
119#386×C107C2211yescharacteristic
120#386×C107C2211yescharacteristic
121#386×C107C2211yescharacteristic
122#386×C107C2211yescharacteristic
123#386×C107C2211yescharacteristic
124#386×C107C2211yescharacteristic
125#386×C107C2211yescharacteristic
126#386×C107C2211yescharacteristic
127#386×C107C2211yescharacteristic
128#386×C107C2211yescharacteristic
129#386×C107C2211yescharacteristic
130#386×C107C2211yescharacteristic
131#386×C107C2211yescharacteristic
132#386×C107C2211yescharacteristic
133#386×C107C2211yescharacteristic
134#386×C107C2211yescharacteristic
135#386×C107C2211yescharacteristic
136#386×C107C2211yescharacteristic
137#386×C107C2211yescharacteristic
138#385×C107C2211yescharacteristic
139#385×C107C2211yescharacteristic
140#385×C107C2211yescharacteristic
141#385×C107C2211yescharacteristic
142#385×C107C2211yescharacteristic
143#385×C107C2211yescharacteristic
144#385×C107C2211yescharacteristic
145#385×C107C2211yescharacteristic
146#385×C107C2211yescharacteristic
147#385×C107C2211yescharacteristic
148#383×C107C2211yescharacteristic
149#383×C107C2211yescharacteristic
150#383×C107C2211yescharacteristic
151#382×C107C2211yescharacteristic
152#381×C107C2211yescharacteristic
153#381×C107C2211yescharacteristic
154#381×C107C2211yescharacteristic
155#380×C107C2211yescharacteristic
156#380×C107C2211yescharacteristic
157#380×C107C2211yescharacteristic
158#380×C107C2211yescharacteristic
159#380×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×C22⋊C4×C107C2211yescharacteristic
170C4×C22⋊C4×C107C2211yescharacteristic
171C4×C22⋊C4×C107C2211yescharacteristic
172C4×C22⋊C4×C107C2211yescharacteristic
173C4×C22⋊C4×C107C2211yescharacteristic
174C4×C22⋊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
182C4×C22⋊C4×C107C2211yescharacteristic
183C4×C22⋊C4×C107C2211yescharacteristic
184#376×C107C2211yescharacteristic
185C2×#95×C107C2211yescharacteristic
186C2×#95×C107C2211yescharacteristic
187C2×#95×C107C2211yescharacteristic
188C22×D4×C107C2311yescharacteristic
189C22×D4×C107C2311yescharacteristic
190C22×D4×C107C2311yescharacteristic
191C22×D4×C107C2311yescharacteristic
192C22×D4×C107C2311yescharacteristic
193C22×D4×C107C2311yescharacteristic
194C22×D4×C107C2311yescharacteristic
195C22×D4×C107C2311yescharacteristic
196C22×D4×C107C2311yescharacteristic
197C22×D4×C107C2311yescharacteristic
198C23×C4×C107C2311yescharacteristic
199C23×C4×C107C2311yescharacteristic
200C23×C4×C107C2311yescharacteristic
201C23×C4×C107C2311yescharacteristic
202C23×C4×C107C2311yescharacteristic
203C23×C4×C107C2311yescharacteristic
204C23×C4×C107C2311yescharacteristic
205C23×C4×C107C2311yescharacteristic
206C23×C4×C107C2311yescharacteristic
207C23×C4×C107C2311yescharacteristic
208C23×C4×C107C2311yescharacteristic
209C23×C4×C107C2311yescharacteristic
210C23×C4×C107C2311yescharacteristic
211C23×C4×C107C2311yescharacteristic
212C23×C4×C107C2311yescharacteristic
213#127×C107C2×C418yescomplemented
214#125×C107C2×C418yescomplemented
215#123×C107C2×C418yescomplemented
216#123×C107C2×C418yescomplemented
217#123×C107C2×C418yescomplemented
218#123×C107C2×C418yescomplemented
219#121×C107C2×C418yescomplemented
220#121×C107C2×C418yescomplemented
221#121×C107C2×C418yescomplemented
222#121×C107C2×C418yescomplemented
223#121×C107C2×C418yescomplemented
224#121×C107C2×C418yescomplemented
225C4×D4×C107—42no—
226C4×D4×C107—42no—
227C4×D4×C107—42no—
228C4×D4×C107—42no—
229C4×D4×C107—42no—
230C4×D4×C107—42no—
231C4×D4×C107—42no—
232C4×D4×C107—42no—
233C4×D4×C107C2×C418yescomplemented
234C4×D4×C107C2×C418yescomplemented
235#117×C107—42no—
236#117×C107—42no—
237#117×C107C2×C418yescomplemented
238C2×C4⋊C4×C107—42no—
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×C4⋊C4×C107C2311yescharacteristic
255C2×C4⋊C4×C107C2311yescharacteristic
256C2×C4⋊C4×C107C2311yescharacteristic
257C2×C4⋊C4×C107C2311yescharacteristic
258C2×C4⋊C4×C107C2311yescharacteristic
259C2×C4⋊C4×C107C2311yescharacteristic
260C2×C4⋊C4×C107C2311yescharacteristic
261C2×C4⋊C4×C107C2311yescharacteristic
262C2×C4⋊C4×C107C2311yescharacteristic
263C2×C4⋊C4×C107C2311yescharacteristic
264C2×C4⋊C4×C107C2311yescharacteristic
265C2×C22⋊C4×C107C2311yescharacteristic
266C2×C22⋊C4×C107C2311yescharacteristic
267C2×C22⋊C4×C107C2311yescharacteristic
268C2×C22⋊C4×C107C2311yescharacteristic
269C2×C22⋊C4×C107C2311yescharacteristic
270C2×C22⋊C4×C107C2311yescharacteristic
271C2×C22⋊C4×C107C2311yescharacteristic
272C2×C22⋊C4×C107C2311yescharacteristic
273C2×C22⋊C4×C107C2311yescharacteristic
274C2×C22⋊C4×C107C2311yescharacteristic
275C2×C22⋊C4×C107C2311yescharacteristic
276C2×C22⋊C4×C107C2311yescharacteristic
277C2×C22⋊C4×C107C2311yescharacteristic
278C2×C22⋊C4×C107C2311yescharacteristic
279C2×C22⋊C4×C107C2311yescharacteristic
280C2×C22⋊C4×C107C2311yescharacteristic
281C2×C22⋊C4×C107C2311yescharacteristic
282C2×C22⋊C4×C107C2311yescharacteristic
283C2×C22⋊C4×C107C2311yescharacteristic
284C2×C22⋊C4×C107C2311yescharacteristic
285C2×C22⋊C4×C107C2311yescharacteristic
286C2×C22⋊C4×C107C2311yescharacteristic
287C2×C22⋊C4×C107C2311yescharacteristic
288C2×C22⋊C4×C107C2311yescharacteristic
289C2×C22⋊C4×C107C2311yescharacteristic
290C2×C22⋊C4×C107C2311yescharacteristic
291C2×C22⋊C4×C107C2311yescharacteristic
292C2×C22⋊C4×C107C2311yescharacteristic
293C2×C22⋊C4×C107C2311yescharacteristic
294C2×C22⋊C4×C107C2311yescharacteristic
295C2×C22⋊C4×C107C2311yescharacteristic
296C2×C22⋊C4×C107C2311yescharacteristic
297C2×C22⋊C4×C107C2311yescharacteristic
298C2×C22⋊C4×C107C2311yescharacteristic
299C2×C22⋊C4×C107C2311yescharacteristic
300C2×C22⋊C4×C107C2311yescharacteristic
301C2×C22⋊C4×C107C2311yescharacteristic
302C2×C22⋊C4×C107C2311yescharacteristic
303C2×C22⋊C4×C107C2311yescharacteristic
304C2×C22⋊C4×C107C2311yescharacteristic
305C2×C42×C107—42no—
306C2×C42×C107C2311yescharacteristic
307C2×C42×C107C2311yescharacteristic
308C2×C42×C107C2311yescharacteristic
309C2×C42×C107C2311yescharacteristic
310C2×C42×C107C2311yescharacteristic
311C2×C42×C107C2311yescharacteristic
312C2×C42×C107C2311yescharacteristic
313C2×C42×C107C2311yescharacteristic
314C2×C42×C107C2311yescharacteristic
315C2×C42×C107C2311yescharacteristic
316C2×C42×C107C2311yescharacteristic
317C2×C42×C107C2311yescharacteristic
318C2×C42×C107C2311yescharacteristic
319C2×C42×C107C2311yescharacteristic
320C2×C42×C107C2311yescharacteristic
321C2×C42×C107C2311yescharacteristic
322C2×C42×C107C2311yescharacteristic
323C2×C42×C107C2311yescharacteristic
324C2×C42×C107C2311yescharacteristic
325C2×C42×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
358#95×C107C2311yescharacteristic
359#95×C107C2311yescharacteristic
360#95×C107C2311yescharacteristic
361#95×C107C2311yescharacteristic
362#95×C107C2311yescharacteristic
363#95×C107C2311yescharacteristic
364#95×C107C2311yescharacteristic
365#95×C107C2311yescharacteristic
366#95×C107C2311yescharacteristic
367#95×C107C2311yescharacteristic
368#95×C107C2311yescharacteristic
369#95×C107C2311yescharacteristic
370C24×C107C2411yescharacteristic
371C24×C107C2411yescharacteristic
372C24×C107C2411yescharacteristic
373C24×C107C2411yescharacteristic
374C24×C107C2411yescharacteristic
375C2×D4×C107—41no—
376C2×D4×C107—41no—
377C2×D4×C107—41no—
378C2×D4×C107—41no—
379C2×D4×C107—41no—
380C2×D4×C107—41no—
381C2×D4×C107—41no—
382C2×D4×C107—41no—
383C2×D4×C107—41no—
384C2×D4×C107—41no—
385C2×D4×C107—41no—
386C2×D4×C107—41no—
387C2×D4×C107—41no—
388C2×D4×C107—41no—
389C2×D4×C107—41no—
390C2×D4×C107—41no—
391C2×D4×C107—41no—
392C2×D4×C107—41no—
393C2×D4×C107—41no—
394C2×D4×C107—41no—
395C2×D4×C107C22×C414yes—
396C2×D4×C107C22×C414yes—
397C2×D4×C107C22×C414yes—
398C2×D4×C107C22×C414yes—
399C2×D4×C107C22×C414yes—
400C2×D4×C107C22×C414yes—
401C2×D4×C107C22×C414yes—
402C2×D4×C107C22×C414yes—
403C2×D4×C107C22×C414yes—
404C2×D4×C107C22×C414yes—
405C22×C4×C107—22no—
406C22×C4×C107—22no—
407C22×C4×C107—22no—
408C22×C4×C107—22no—
409C22×C4×C107—22no—
410C22×C4×C107—41no—
411C22×C4×C107—41no—
412C22×C4×C107—41no—
413C22×C4×C107—41no—
414C22×C4×C107—41no—
415C22×C4×C107—41no—
416C22×C4×C107—41no—
417C22×C4×C107—41no—
418C22×C4×C107—41no—
419C22×C4×C107—41no—
420C22×C4×C107—41no—
421C22×C4×C107—41no—
422C22×C4×C107—41no—
423C22×C4×C107—41no—
424C22×C4×C107—41no—
425C22×C4×C107—41no—
426C22×C4×C107—41no—
427C22×C4×C107—41no—
428C22×C4×C107—41no—
429C22×C4×C107—41no—
430C22×C4×C107—41no—
431C22×C4×C107—41no—
432C22×C4×C107—41no—
433C22×C4×C107—41no—
434C22×C4×C107—41no—
435C22×C4×C107—41no—
436C22×C4×C107—41no—
437C22×C4×C107—41no—
438C22×C4×C107—41no—
439C22×C4×C107—41no—
440C22×C4×C107—41no—
441C22×C4×C107—41no—
442C22×C4×C107—41no—
443C22×C4×C107—41no—
444C22×C4×C107—41no—
445C22×C4×C107C22×C414yes—
446C22×C4×C107C22×C414yes—
447C22×C4×C107C22×C414yes—
448C22×C4×C107C22×C414yes—
449C22×C4×C107C22×C414yes—
450C22×C4×C107C2411yescharacteristic
451C22×C4×C107C2411yescharacteristic
452C22×C4×C107C2411yescharacteristic
453C22×C4×C107C2411yescharacteristic
454C22×C4×C107C2411yescharacteristic
455C22×C4×C107C2411yescharacteristic
456C22×C4×C107C2411yescharacteristic
457C22×C4×C107C2411yescharacteristic
458C22×C4×C107C2411yescharacteristic
459C22×C4×C107C2411yescharacteristic
460C22×C4×C107C2411yescharacteristic
461C22×C4×C107C2411yescharacteristic
462C22×C4×C107C2411yescharacteristic
463C22×C4×C107C2411yescharacteristic
464C22×C4×C107C2411yescharacteristic
465C22×C4×C107C2411yescharacteristic
466C22×C4×C107C2411yescharacteristic
467C22×C4×C107C2411yescharacteristic
468C22×C4×C107C2411yescharacteristic
469C22×C4×C107C2411yescharacteristic
470C22×C4×C107C2411yescharacteristic
471C22×C4×C107C2411yescharacteristic
472C22×C4×C107C2411yescharacteristic
473C22×C4×C107C2411yescharacteristic
474C22×C4×C107C2411yescharacteristic
475C22×C4×C107C2411yescharacteristic
476C4⋊C4×C107—22no—
477C4⋊C4×C107—22no—
478C4⋊C4×C107—22no—
479C4⋊C4×C107—22no—
480C4⋊C4×C107—22no—
481C4⋊C4×C107—41no—
482C4⋊C4×C107—41no—
483C4⋊C4×C107—41no—
484C4⋊C4×C107—41no—
485C4⋊C4×C107—41no—
486C4⋊C4×C107—41no—
487C4⋊C4×C107—41no—
488C4⋊C4×C107—41no—
489C4⋊C4×C107—41no—
490C4⋊C4×C107—41no—
491C4⋊C4×C107—41no—
492C4⋊C4×C107—41no—
493C4⋊C4×C107—41no—
494C4⋊C4×C107C22×C414yes—
495C4⋊C4×C107C22×C414yes—
496C4⋊C4×C107C22×C414yes—
497C4⋊C4×C107C22×C414yes—
498C4⋊C4×C107C22×C414yes—
499C4⋊C4×C107C22×C414yes—
500C4⋊C4×C107C22×C414yes—
501C4⋊C4×C107C22×C414yes—
502C22⋊C4×C107—22no—
503C22⋊C4×C107—22no—
504C22⋊C4×C107—22no—
505C22⋊C4×C107—22no—
506C22⋊C4×C107—22no—
507C22⋊C4×C107—41no—
508C22⋊C4×C107—41no—
509C22⋊C4×C107—41no—
510C22⋊C4×C107—41no—
511C22⋊C4×C107—41no—
512C22⋊C4×C107—41no—
513C22⋊C4×C107—41no—
514C22⋊C4×C107—41no—
515C22⋊C4×C107—41no—
516C22⋊C4×C107—41no—
517C22⋊C4×C107—41no—
518C22⋊C4×C107—41no—
519C22⋊C4×C107—41no—
520C22⋊C4×C107—41no—
521C22⋊C4×C107—41no—
522C22⋊C4×C107—41no—
523C22⋊C4×C107—41no—
524C22⋊C4×C107—41no—
525C22⋊C4×C107—41no—
526C22⋊C4×C107—41no—
527C22⋊C4×C107—41no—
528C22⋊C4×C107—41no—
529C22⋊C4×C107—41no—
530C22⋊C4×C107—41no—
531C22⋊C4×C107—41no—
532C22⋊C4×C107C22×C414yes—
533C22⋊C4×C107C22×C414yes—
534C22⋊C4×C107C22×C414yes—
535C22⋊C4×C107C22×C414yes—
536C22⋊C4×C107C22×C414yes—
537C22⋊C4×C107C22×C414yes—
538C22⋊C4×C107C22×C414yes—
539C22⋊C4×C107C22×C414yes—
540C22⋊C4×C107C22×C414yes—
541C22⋊C4×C107C22×C414yes—
542C42×C107—22no—
543C42×C107—22no—
544C42×C107—22no—
545C42×C107—41no—
546C42×C107—41no—
547C42×C107—41no—
548C42×C107—41no—
549C42×C107—41no—
550C42×C107—41no—
551C42×C107—41no—
552C42×C107—41no—
553C42×C107—41no—
554C42×C107—41no—
555C42×C107—41no—
556C42×C107—41no—
557C42×C107—41no—
558C42×C107—41no—
559C42×C107—41no—
560C42×C107C22×C414yes—
561C42×C107C22×C414yes—
562C23×C107—21no—
563C23×C107—21no—
564C23×C107—21no—
565C23×C107—21no—
566C23×C107—21no—
567C23×C107—21no—
568C23×C107—21no—
569C23×C107—21no—
570C23×C107—21no—
571C23×C107—21no—
572C23×C107—21no—
573C23×C107—21no—
574C23×C107—21no—
575C23×C107—21no—
576C23×C107—21no—
577C23×C107—21no—
578C23×C107—21no—
579C23×C107—21no—
580C23×C107—21no—
581C23×C107—21no—
582C23×C107—21no—
583C23×C107—21no—
584C23×C107—21no—
585C23×C107—21no—
586C23×C107—21no—
587C23×C107—21no—
588C23×C107—21no—
589C23×C107—21no—
590C23×C107—21no—
591C23×C107—21no—
592C23×C107C23×C412yes—
593C23×C107C23×C412yes—
594C23×C107C23×C412yes—
595C23×C107C23×C412yes—
596C23×C107C23×C412yes—
597C23×C107C2511yescharacteristic
598D4×C107—44no—
599D4×C107—44no—
600D4×C107—44no—
601D4×C107—44no—
602D4×C107—44no—
603D4×C107—44no—
604D4×C107—44no—
605D4×C107—44no—
606D4×C107—44no—
607D4×C107—44no—
608C2×C4×C107—21no—
609C2×C4×C107—21no—
610C2×C4×C107—21no—
611C2×C4×C107—21no—
612C2×C4×C107—21no—
613C2×C4×C107—21no—
614C2×C4×C107—21no—
615C2×C4×C107—21no—
616C2×C4×C107—21no—
617C2×C4×C107—21no—
618C2×C4×C107—21no—
619C2×C4×C107—21no—
620C2×C4×C107—21no—
621C2×C4×C107—21no—
622C2×C4×C107—21no—
623C2×C4×C107—21no—
624C2×C4×C107—21no—
625C2×C4×C107—21no—
626C2×C4×C107—21no—
627C2×C4×C107—21no—
628C2×C4×C107—21no—
629C2×C4×C107—21no—
630C2×C4×C107—21no—
631C2×C4×C107—21no—
632C2×C4×C107—21no—
633C2×C4×C107—21no—
634C2×C4×C107—21no—
635C2×C4×C107—21no—
636C2×C4×C107—21no—
637C2×C4×C107—21no—
638C2×C4×C107—21no—
639C2×C4×C107—21no—
640C2×C4×C107—21no—
641C2×C4×C107—21no—
642C2×C4×C107—21no—
643C2×C4×C107—21no—
644C2×C4×C107—21no—
645C2×C4×C107—21no—
646C2×C4×C107—21no—
647C2×C4×C107—21no—
648C2×C4×C107—21no—
649C2×C4×C107—21no—
650C2×C4×C107—21no—
651C2×C4×C107—21no—
652C2×C4×C107—21no—
653C2×C4×C107—21no—
654C2×C4×C107—21no—
655C2×C4×C107—21no—
656C2×C4×C107—21no—
657C2×C4×C107—21no—
658C2×C4×C107—21no—
659C2×C4×C107—21no—
660C2×C4×C107—21no—
661C2×C4×C107—21no—
662C2×C4×C107—21no—
663C2×C4×C107—21no—
664C2×C4×C107—21no—
665C2×C4×C107—21no—
666C2×C4×C107—21no—
667C2×C4×C107—21no—
668C2×C4×C107—21no—
669C2×C4×C107—21no—
670C2×C4×C107—21no—
671C2×C4×C107—21no—
672C2×C4×C107—21no—
673C2×C4×C107—21no—
674C2×C4×C107—44no—
675C2×C4×C107—44no—
676C2×C4×C107—44no—
677C2×C4×C107—44no—
678C2×C4×C107—44no—
679C2×C4×C107—44no—
680C2×C4×C107—44no—
681C2×C4×C107—82no—
682C2×C4×C107—82no—
683C2×C4×C107—82no—
684C2×C4×C107—82no—
685C2×C4×C107—82no—
686C2×C4×C107—82no—
687C2×C4×C107—82no—
688C2×C4×C107—82no—
689C2×C4×C107C23×C412yes—
690C2×C4×C107C23×C412yes—
691C2×C4×C107C23×C412yes—
692C2×C4×C107C23×C412yes—
693C2×C4×C107C23×C412yes—
694C2×C4×C107C23×C412yes—
695C2×C4×C107C23×C412yes—
696C2×C4×C107C23×C412yes—
697C2×C4×C107C23×C412yes—
698C2×C4×C107C23×C412yes—
699C2×C4×C107H(5,𝔽2)12yes—
700C2×C4×C107H(5,𝔽2)12yes—
701C22×C107—22no—
702C22×C107—22no—
703C22×C107—22no—
704C22×C107—22no—
705C22×C107—22no—
706C22×C107—22no—
707C22×C107—22no—
708C22×C107—22no—
709C22×C107—22no—
710C22×C107—22no—
711C22×C107—22no—
712C22×C107—22no—
713C22×C107—22no—
714C22×C107—22no—
715C22×C107—22no—
716C22×C107—41no—
717C22×C107—41no—
718C22×C107—41no—
719C22×C107—41no—
720C22×C107—41no—
721C22×C107—41no—
722C22×C107—41no—
723C22×C107—41no—
724C22×C107—41no—
725C22×C107—41no—
726C22×C107—41no—
727C22×C107—41no—
728C22×C107—41no—
729C22×C107—41no—
730C22×C107—41no—
731C22×C107—41no—
732C22×C107—41no—
733C22×C107—41no—
734C22×C107—41no—
735C22×C107—41no—
736C22×C107C24×C411yescharacteristic
737C22×C107C2×H(5,𝔽2)11yescharacteristic
738C22×C107C2×H(5,𝔽2)11yescharacteristic
739C22×C107#58511yescharacteristic
740C22×C107#58511yescharacteristic
741C22×C107#58511yescharacteristic
742C22×C107#58511yescharacteristic
743C4×C107—22no—
744C4×C107—22no—
745C4×C107—22no—
746C4×C107—22no—
747C4×C107—22no—
748C4×C107—22no—
749C4×C107—22no—
750C4×C107—22no—
751C4×C107—22no—
752C4×C107—22no—
753C4×C107—22no—
754C4×C107—22no—
755C4×C107—41no—
756C4×C107—41no—
757C4×C107—41no—
758C4×C107—41no—
759C4×C107—41no—
760C4×C107—41no—
761C4×C107—41no—
762C4×C107—41no—
763C4×C107—41no—
764C4×C107—41no—
765C4×C107—41no—
766C4×C107—41no—
767C4×C107—41no—
768C4×C107—41no—
769#34442C10711yesmaximal, characteristic, direct product factor, Sylow
770C2×C107—42no—
771C2×C107—42no—
772C2×C107—42no—
773C2×C107—42no—
774C2×C107—42no—
775C2×C107#342811yescharacteristic
776C2×C107C4×H(5,𝔽2)11yescharacteristic
777C2×C107C4×H(5,𝔽2)11yescharacteristic
778C2×C107#353411yescharacteristic
779C2×C107#353911yescharacteristic
780C2×C107#356211yescharacteristic
781C2×C107#356611yescharacteristic
782C2×#540C2×C10711yescharacteristic
783#2380C2×C10711yescharacteristic, complemented
784#2377C2×C10711yescharacteristic, complemented
785#2377C2×C10711yescharacteristic, complemented
786#2376C2×C10711yescharacteristic, complemented
787#2374C2×C10711yescharacteristic, complemented
788#2366C2×C10711yescharacteristic, complemented
789#2364C2×C10711yescharacteristic, complemented
790#2364C2×C10711yescharacteristic, complemented
791#2363C2×C10711yescharacteristic, complemented
792#2361C2×C10711yescharacteristic, complemented
793#2359C2×C10711yescharacteristic, complemented
794#2359C2×C10711yescharacteristic, complemented
795#2353C2×C10711yescharacteristic, complemented
796#2352C2×C10711yescharacteristic, complemented
797#2347C2×C10711yescharacteristic, complemented
798#2343C2×C10711yescharacteristic, complemented
799#2336C2×C10711yescharacteristic, complemented
800#2336C2×C10711yescharacteristic, complemented
801#2335C2×C10711yescharacteristic, complemented
802#2335C2×C10711yescharacteristic, complemented
803#2333C2×C10711yescharacteristic, complemented
804#2333C2×C10711yescharacteristic, complemented
805#2325C2×C10711yescharacteristic, complemented
806#2325C2×C10711yescharacteristic, complemented
807#2324C2×C10711yescharacteristic, complemented
808#2322C2×C10711yescharacteristic, complemented
809#2318C2×C10711yescharacteristic, complemented
810C4×#123C2×C10711yescharacteristic, complemented
811C4×#121C2×C10711yescharacteristic, complemented
812#2290C2×C10711yescharacteristic, complemented
813C107#3444211yescharacteristic, direct product factor, Sylow
814#540C4×C107116yescomplemented
815C2×#127C22×C10711yescharacteristic
816C2×#125C22×C10711yescharacteristic
817C2×#123C22×C10711yescharacteristic
818C2×#123C22×C10711yescharacteristic
819C2×#123C22×C10711yescharacteristic
820C2×#123C22×C10711yescharacteristic
821C2×#121C22×C10711yescharacteristic
822C2×#121C22×C10711yescharacteristic
823C2×#121C22×C10711yescharacteristic
824C2×#121C22×C10711yescharacteristic
825C2×#121C22×C10711yescharacteristic
826C2×#121C22×C10711yescharacteristic
827C2×C4×D4C22×C10711yescharacteristic
828C2×C4×D4C22×C10711yescharacteristic
829C2×C4×D4C22×C10711yescharacteristic
830C2×C4×D4C22×C10711yescharacteristic
831C2×C4×D4C22×C10711yescharacteristic
832C2×C4×D4C22×C10711yescharacteristic
833C2×C4×D4C22×C10711yescharacteristic
834C2×C4×D4C22×C10711yescharacteristic
835C2×C4×D4C22×C10711yescharacteristic
836C2×C4×D4C22×C10711yescharacteristic
837C2×#117C22×C10711yescharacteristic
838C2×#117C22×C10711yescharacteristic
839C2×#117C22×C10711yescharacteristic
840C22×C4⋊C4C22×C10711yescharacteristic
841C22×C42C22×C10711yescharacteristic
842#390C22×C10711yescharacteristic
843#390C22×C10711yescharacteristic
844#390C22×C10711yescharacteristic
845#390C22×C10711yescharacteristic
846#390C22×C10711yescharacteristic
847#390C22×C10711yescharacteristic
848#390C22×C10711yescharacteristic
849#390C22×C10711yescharacteristic
850#389C22×C10711yescharacteristic
851#389C22×C10711yescharacteristic
852#389C22×C10711yescharacteristic
853#389C22×C10711yescharacteristic
854#389C22×C10711yescharacteristic
855#389C22×C10711yescharacteristic
856#388C22×C10711yescharacteristic
857#388C22×C10711yescharacteristic
858#388C22×C10711yescharacteristic
859#388C22×C10711yescharacteristic
860#388C22×C10711yescharacteristic
861#388C22×C10711yescharacteristic
862#388C22×C10711yescharacteristic
863#388C22×C10711yescharacteristic
864#388C22×C10711yescharacteristic
865#388C22×C10711yescharacteristic
866#388C22×C10711yescharacteristic
867#388C22×C10711yescharacteristic
868#388C22×C10711yescharacteristic
869#388C22×C10711yescharacteristic
870#388C22×C10711yescharacteristic
871#388C22×C10711yescharacteristic
872#388C22×C10711yescharacteristic
873#388C22×C10711yescharacteristic
874#388C22×C10711yescharacteristic
875#388C22×C10711yescharacteristic
876#387C22×C10711yescharacteristic
877#387C22×C10711yescharacteristic
878#387C22×C10711yescharacteristic
879#387C22×C10711yescharacteristic
880#387C22×C10711yescharacteristic
881#387C22×C10711yescharacteristic
882#387C22×C10711yescharacteristic
883#387C22×C10711yescharacteristic
884#387C22×C10711yescharacteristic
885#387C22×C10711yescharacteristic
886#387C22×C10711yescharacteristic
887#387C22×C10711yescharacteristic
888#387C22×C10711yescharacteristic
889#387C22×C10711yescharacteristic
890#387C22×C10711yescharacteristic
891#387C22×C10711yescharacteristic
892#387C22×C10711yescharacteristic
893#387C22×C10711yescharacteristic
894#387C22×C10711yescharacteristic
895#387C22×C10711yescharacteristic
896#386C22×C10711yescharacteristic
897#386C22×C10711yescharacteristic
898#386C22×C10711yescharacteristic
899#386C22×C10711yescharacteristic
900#386C22×C10711yescharacteristic
901#386C22×C10711yescharacteristic
902#386C22×C10711yescharacteristic
903#386C22×C10711yescharacteristic
904#386C22×C10711yescharacteristic
905#386C22×C10711yescharacteristic
906#386C22×C10711yescharacteristic
907#386C22×C10711yescharacteristic
908#386C22×C10711yescharacteristic
909#386C22×C10711yescharacteristic
910#386C22×C10711yescharacteristic
911#386C22×C10711yescharacteristic
912#386C22×C10711yescharacteristic
913#386C22×C10711yescharacteristic
914#386C22×C10711yescharacteristic
915#386C22×C10711yescharacteristic
916#386C22×C10711yescharacteristic
917#386C22×C10711yescharacteristic
918#386C22×C10711yescharacteristic
919#386C22×C10711yescharacteristic
920#385C22×C10711yescharacteristic
921#385C22×C10711yescharacteristic
922#385C22×C10711yescharacteristic
923#385C22×C10711yescharacteristic
924#385C22×C10711yescharacteristic
925#385C22×C10711yescharacteristic
926#385C22×C10711yescharacteristic
927#385C22×C10711yescharacteristic
928#385C22×C10711yescharacteristic
929#385C22×C10711yescharacteristic
930#383C22×C10711yescharacteristic
931#383C22×C10711yescharacteristic
932#383C22×C10711yescharacteristic
933#382C22×C10711yescharacteristic
934#381C22×C10711yescharacteristic
935#381C22×C10711yescharacteristic
936#381C22×C10711yescharacteristic
937#380C22×C10711yescharacteristic
938#380C22×C10711yescharacteristic
939#380C22×C10711yescharacteristic
940#380C22×C10711yescharacteristic
941#380C22×C10711yescharacteristic
942C4×C4⋊C4C22×C10711yescharacteristic
943C4×C4⋊C4C22×C10711yescharacteristic
944C4×C4⋊C4C22×C10711yescharacteristic
945C4×C4⋊C4C22×C10711yescharacteristic
946C4×C4⋊C4C22×C10711yescharacteristic
947C4×C4⋊C4C22×C10711yescharacteristic
948C4×C4⋊C4C22×C10711yescharacteristic
949C4×C4⋊C4C22×C10711yescharacteristic
950C4×C4⋊C4C22×C10711yescharacteristic
951C4×C22⋊C4C22×C10711yescharacteristic
952C4×C22⋊C4C22×C10711yescharacteristic
953C4×C22⋊C4C22×C10711yescharacteristic
954C4×C22⋊C4C22×C10711yescharacteristic
955C4×C22⋊C4C22×C10711yescharacteristic
956C4×C22⋊C4C22×C10711yescharacteristic
957C4×C22⋊C4C22×C10711yescharacteristic
958C4×C22⋊C4C22×C10711yescharacteristic
959C4×C22⋊C4C22×C10711yescharacteristic
960C4×C22⋊C4C22×C10711yescharacteristic
961C4×C22⋊C4C22×C10711yescharacteristic
962C4×C22⋊C4C22×C10711yescharacteristic
963C4×C22⋊C4C22×C10711yescharacteristic
964C4×C22⋊C4C22×C10711yescharacteristic
965C4×C22⋊C4C22×C10711yescharacteristic
966#376C22×C10711yescharacteristic
967C2×#95C22×C10711yescharacteristic
968C2×#95C22×C10711yescharacteristic
969C2×#95C22×C10711yescharacteristic
970C22×D4C23×C10711yescharacteristic
971C22×D4C23×C10711yescharacteristic
972C22×D4C23×C10711yescharacteristic
973C22×D4C23×C10711yescharacteristic
974C22×D4C23×C10711yescharacteristic
975C22×D4C23×C10711yescharacteristic
976C22×D4C23×C10711yescharacteristic
977C22×D4C23×C10711yescharacteristic
978C22×D4C23×C10711yescharacteristic
979C22×D4C23×C10711yescharacteristic
980C23×C4C23×C10711yescharacteristic
981C23×C4C23×C10711yescharacteristic
982C23×C4C23×C10711yescharacteristic
983C23×C4C23×C10711yescharacteristic
984C23×C4C23×C10711yescharacteristic
985C23×C4C23×C10711yescharacteristic
986C23×C4C23×C10711yescharacteristic
987C23×C4C23×C10711yescharacteristic
988C23×C4C23×C10711yescharacteristic
989C23×C4C23×C10711yescharacteristic
990C23×C4C23×C10711yescharacteristic
991C23×C4C23×C10711yescharacteristic
992C23×C4C23×C10711yescharacteristic
993C23×C4C23×C10711yescharacteristic
994C23×C4C23×C10711yescharacteristic
995#127C2×C4×C10718yescomplemented
996#125C2×C4×C10718yescomplemented
997#123C2×C4×C10718yescomplemented
998#123C2×C4×C10718yescomplemented
999#123C2×C4×C10718yescomplemented
1000#123C2×C4×C10718yescomplemented
1001#121C2×C4×C10718yescomplemented
1002#121C2×C4×C10718yescomplemented
1003#121C2×C4×C10718yescomplemented
1004#121C2×C4×C10718yescomplemented
1005#121C2×C4×C10718yescomplemented
1006#121C2×C4×C10718yescomplemented
1007C4×D4—42no—
1008C4×D4—42no—
1009C4×D4—42no—
1010C4×D4—42no—
1011C4×D4—42no—
1012C4×D4—42no—
1013C4×D4—42no—
1014C4×D4—42no—
1015C4×D4C2×C4×C10718yescomplemented
1016C4×D4C2×C4×C10718yescomplemented
1017#117—42no—
1018#117—42no—
1019#117C2×C4×C10718yescomplemented
1020C2×C4⋊C4—42no—
1021C2×C4⋊C4C23×C10711yescharacteristic
1022C2×C4⋊C4C23×C10711yescharacteristic
1023C2×C4⋊C4C23×C10711yescharacteristic
1024C2×C4⋊C4C23×C10711yescharacteristic
1025C2×C4⋊C4C23×C10711yescharacteristic
1026C2×C4⋊C4C23×C10711yescharacteristic
1027C2×C4⋊C4C23×C10711yescharacteristic
1028C2×C4⋊C4C23×C10711yescharacteristic
1029C2×C4⋊C4C23×C10711yescharacteristic
1030C2×C4⋊C4C23×C10711yescharacteristic
1031C2×C4⋊C4C23×C10711yescharacteristic
1032C2×C4⋊C4C23×C10711yescharacteristic
1033C2×C4⋊C4C23×C10711yescharacteristic
1034C2×C4⋊C4C23×C10711yescharacteristic
1035C2×C4⋊C4C23×C10711yescharacteristic
1036C2×C4⋊C4C23×C10711yescharacteristic
1037C2×C4⋊C4C23×C10711yescharacteristic
1038C2×C4⋊C4C23×C10711yescharacteristic
1039C2×C4⋊C4C23×C10711yescharacteristic
1040C2×C4⋊C4C23×C10711yescharacteristic
1041C2×C4⋊C4C23×C10711yescharacteristic
1042C2×C4⋊C4C23×C10711yescharacteristic
1043C2×C4⋊C4C23×C10711yescharacteristic
1044C2×C4⋊C4C23×C10711yescharacteristic
1045C2×C4⋊C4C23×C10711yescharacteristic
1046C2×C4⋊C4C23×C10711yescharacteristic
1047C2×C22⋊C4C23×C10711yescharacteristic
1048C2×C22⋊C4C23×C10711yescharacteristic
1049C2×C22⋊C4C23×C10711yescharacteristic
1050C2×C22⋊C4C23×C10711yescharacteristic
1051C2×C22⋊C4C23×C10711yescharacteristic
1052C2×C22⋊C4C23×C10711yescharacteristic
1053C2×C22⋊C4C23×C10711yescharacteristic
1054C2×C22⋊C4C23×C10711yescharacteristic
1055C2×C22⋊C4C23×C10711yescharacteristic
1056C2×C22⋊C4C23×C10711yescharacteristic
1057C2×C22⋊C4C23×C10711yescharacteristic
1058C2×C22⋊C4C23×C10711yescharacteristic
1059C2×C22⋊C4C23×C10711yescharacteristic
1060C2×C22⋊C4C23×C10711yescharacteristic
1061C2×C22⋊C4C23×C10711yescharacteristic
1062C2×C22⋊C4C23×C10711yescharacteristic
1063C2×C22⋊C4C23×C10711yescharacteristic
1064C2×C22⋊C4C23×C10711yescharacteristic
1065C2×C22⋊C4C23×C10711yescharacteristic
1066C2×C22⋊C4C23×C10711yescharacteristic
1067C2×C22⋊C4C23×C10711yescharacteristic
1068C2×C22⋊C4C23×C10711yescharacteristic
1069C2×C22⋊C4C23×C10711yescharacteristic
1070C2×C22⋊C4C23×C10711yescharacteristic
1071C2×C22⋊C4C23×C10711yescharacteristic
1072C2×C22⋊C4C23×C10711yescharacteristic
1073C2×C22⋊C4C23×C10711yescharacteristic
1074C2×C22⋊C4C23×C10711yescharacteristic
1075C2×C22⋊C4C23×C10711yescharacteristic
1076C2×C22⋊C4C23×C10711yescharacteristic
1077C2×C22⋊C4C23×C10711yescharacteristic
1078C2×C22⋊C4C23×C10711yescharacteristic
1079C2×C22⋊C4C23×C10711yescharacteristic
1080C2×C22⋊C4C23×C10711yescharacteristic
1081C2×C22⋊C4C23×C10711yescharacteristic
1082C2×C22⋊C4C23×C10711yescharacteristic
1083C2×C22⋊C4C23×C10711yescharacteristic
1084C2×C22⋊C4C23×C10711yescharacteristic
1085C2×C22⋊C4C23×C10711yescharacteristic
1086C2×C22⋊C4C23×C10711yescharacteristic
1087C2×C42—42no—
1088C2×C42C23×C10711yescharacteristic
1089C2×C42C23×C10711yescharacteristic
1090C2×C42C23×C10711yescharacteristic
1091C2×C42C23×C10711yescharacteristic
1092C2×C42C23×C10711yescharacteristic
1093C2×C42C23×C10711yescharacteristic
1094C2×C42C23×C10711yescharacteristic
1095C2×C42C23×C10711yescharacteristic
1096C2×C42C23×C10711yescharacteristic
1097C2×C42C23×C10711yescharacteristic
1098C2×C42C23×C10711yescharacteristic
1099C2×C42C23×C10711yescharacteristic
1100C2×C42C23×C10711yescharacteristic
1101C2×C42C23×C10711yescharacteristic
1102C2×C42C23×C10711yescharacteristic
1103C2×C42C23×C10711yescharacteristic
1104C2×C42C23×C10711yescharacteristic
1105C2×C42C23×C10711yescharacteristic
1106C2×C42C23×C10711yescharacteristic
1107C2×C42C23×C10711yescharacteristic
1108#95C23×C10711yescharacteristic
1109#95C23×C10711yescharacteristic
1110#95C23×C10711yescharacteristic
1111#95C23×C10711yescharacteristic
1112#95C23×C10711yescharacteristic
1113#95C23×C10711yescharacteristic
1114#95C23×C10711yescharacteristic
1115#95C23×C10711yescharacteristic
1116#95C23×C10711yescharacteristic
1117#95C23×C10711yescharacteristic
1118#95C23×C10711yescharacteristic
1119#95C23×C10711yescharacteristic
1120#95C23×C10711yescharacteristic
1121#95C23×C10711yescharacteristic
1122#95C23×C10711yescharacteristic
1123#95C23×C10711yescharacteristic
1124#95C23×C10711yescharacteristic
1125#95C23×C10711yescharacteristic
1126#95C23×C10711yescharacteristic
1127#95C23×C10711yescharacteristic
1128#95C23×C10711yescharacteristic
1129#95C23×C10711yescharacteristic
1130#95C23×C10711yescharacteristic
1131#95C23×C10711yescharacteristic
1132#95C23×C10711yescharacteristic
1133#95C23×C10711yescharacteristic
1134#95C23×C10711yescharacteristic
1135#95C23×C10711yescharacteristic
1136#95C23×C10711yescharacteristic
1137#95C23×C10711yescharacteristic
1138#95C23×C10711yescharacteristic
1139#95C23×C10711yescharacteristic
1140#95C23×C10711yescharacteristic
1141#95C23×C10711yescharacteristic
1142#95C23×C10711yescharacteristic
1143#95C23×C10711yescharacteristic
1144#95C23×C10711yescharacteristic
1145#95C23×C10711yescharacteristic
1146#95C23×C10711yescharacteristic
1147#95C23×C10711yescharacteristic
1148#95C23×C10711yescharacteristic
1149#95C23×C10711yescharacteristic
1150#95C23×C10711yescharacteristic
1151#95C23×C10711yescharacteristic
1152C24C24×C10711yescharacteristic
1153C24C24×C10711yescharacteristic
1154C24C24×C10711yescharacteristic
1155C24C24×C10711yescharacteristic
1156C24C24×C10711yescharacteristic
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4C22×C4×C10714yes—
1178C2×D4C22×C4×C10714yes—
1179C2×D4C22×C4×C10714yes—
1180C2×D4C22×C4×C10714yes—
1181C2×D4C22×C4×C10714yes—
1182C2×D4C22×C4×C10714yes—
1183C2×D4C22×C4×C10714yes—
1184C2×D4C22×C4×C10714yes—
1185C2×D4C22×C4×C10714yes—
1186C2×D4C22×C4×C10714yes—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4C22×C4×C10714yes—
1228C22×C4C22×C4×C10714yes—
1229C22×C4C22×C4×C10714yes—
1230C22×C4C22×C4×C10714yes—
1231C22×C4C22×C4×C10714yes—
1232C22×C4C24×C10711yescharacteristic
1233C22×C4C24×C10711yescharacteristic
1234C22×C4C24×C10711yescharacteristic
1235C22×C4C24×C10711yescharacteristic
1236C22×C4C24×C10711yescharacteristic
1237C22×C4C24×C10711yescharacteristic
1238C22×C4C24×C10711yescharacteristic
1239C22×C4C24×C10711yescharacteristic
1240C22×C4C24×C10711yescharacteristic
1241C22×C4C24×C10711yescharacteristic
1242C22×C4C24×C10711yescharacteristic
1243C22×C4C24×C10711yescharacteristic
1244C22×C4C24×C10711yescharacteristic
1245C22×C4C24×C10711yescharacteristic
1246C22×C4C24×C10711yescharacteristic
1247C22×C4C24×C10711yescharacteristic
1248C22×C4C24×C10711yescharacteristic
1249C22×C4C24×C10711yescharacteristic
1250C22×C4C24×C10711yescharacteristic
1251C22×C4C24×C10711yescharacteristic
1252C22×C4C24×C10711yescharacteristic
1253C22×C4C24×C10711yescharacteristic
1254C22×C4C24×C10711yescharacteristic
1255C22×C4C24×C10711yescharacteristic
1256C22×C4C24×C10711yescharacteristic
1257C22×C4C24×C10711yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4C22×C4×C10714yes—
1277C4⋊C4C22×C4×C10714yes—
1278C4⋊C4C22×C4×C10714yes—
1279C4⋊C4C22×C4×C10714yes—
1280C4⋊C4C22×C4×C10714yes—
1281C4⋊C4C22×C4×C10714yes—
1282C4⋊C4C22×C4×C10714yes—
1283C4⋊C4C22×C4×C10714yes—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4C22×C4×C10714yes—
1315C22⋊C4C22×C4×C10714yes—
1316C22⋊C4C22×C4×C10714yes—
1317C22⋊C4C22×C4×C10714yes—
1318C22⋊C4C22×C4×C10714yes—
1319C22⋊C4C22×C4×C10714yes—
1320C22⋊C4C22×C4×C10714yes—
1321C22⋊C4C22×C4×C10714yes—
1322C22⋊C4C22×C4×C10714yes—
1323C22⋊C4C22×C4×C10714yes—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—41no—
1328C42—41no—
1329C42—41no—
1330C42—41no—
1331C42—41no—
1332C42—41no—
1333C42—41no—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42C22×C4×C10714yes—
1343C42C22×C4×C10714yes—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23C23×C4×C10712yes—
1375C23C23×C4×C10712yes—
1376C23C23×C4×C10712yes—
1377C23C23×C4×C10712yes—
1378C23C23×C4×C10712yes—
1379C23C25×C10711yescharacteristic
1380D4—44no—
1381D4—44no—
1382D4—44no—
1383D4—44no—
1384D4—44no—
1385D4—44no—
1386D4—44no—
1387D4—44no—
1388D4—44no—
1389D4—44no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—44no—
1457C2×C4—44no—
1458C2×C4—44no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4C23×C4×C10712yes—
1472C2×C4C23×C4×C10712yes—
1473C2×C4C23×C4×C10712yes—
1474C2×C4C23×C4×C10712yes—
1475C2×C4C23×C4×C10712yes—
1476C2×C4C23×C4×C10712yes—
1477C2×C4C23×C4×C10712yes—
1478C2×C4C23×C4×C10712yes—
1479C2×C4C23×C4×C10712yes—
1480C2×C4C23×C4×C10712yes—
1481C2×C4H(5,𝔽2)×C10712yes—
1482C2×C4H(5,𝔽2)×C10712yes—
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22C24×C4×C10711yescharacteristic
1519C22C2×H(5,𝔽2)×C10711yescharacteristic
1520C22C2×H(5,𝔽2)×C10711yescharacteristic
1521C22#585×C10711yescharacteristic
1522C22#585×C10711yescharacteristic
1523C22#585×C10711yescharacteristic
1524C22#585×C10711yescharacteristic
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C2—42no—
1552C2—42no—
1553C2—42no—
1554C2—42no—
1555C2—42no—
1556C2C107×#342811yescharacteristic
1557C2C4×H(5,𝔽2)×C10711yescharacteristic
1558C2C4×H(5,𝔽2)×C10711yescharacteristic
1559C2C107×#353411yescharacteristic
1560C2C107×#353911yescharacteristic
1561C2C107×#356211yescharacteristic
1562C2C107×#356611yescharacteristic
subgroupG/H
center, socleC23×C107C25
commutatorC22C24×C4×C107
Frattini, cosocleC23C25×C107
prime radicalC2×#540×C107C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C107 ◁ G

Complements

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

NH ≅ G/Ntype
2. C107×#2380C2semidirect
3. C107×#2377C2semidirect
4. C107×#2377C2semidirect
5. C107×#2376C2semidirect
6. C107×#2374C2semidirect
7. C107×#2366C2semidirect
8. C107×#2364C2semidirect
9. C107×#2364C2semidirect
10. C107×#2363C2semidirect
11. C107×#2361C2semidirect
12. C107×#2359C2semidirect
13. C107×#2359C2semidirect
14. C107×#2353C2semidirect
15. C107×#2352C2semidirect
16. C107×#2347C2semidirect
17. C107×#2343C2semidirect
18. C107×#2336C2semidirect
19. C107×#2336C2semidirect
20. C107×#2335C2semidirect
21. C107×#2335C2semidirect
22. C107×#2333C2semidirect
23. C107×#2333C2semidirect
24. C107×#2325C2semidirect
25. C107×#2325C2semidirect
26. C107×#2324C2semidirect
27. C107×#2322C2semidirect
28. C107×#2318C2semidirect
29. C4×#123×C107C2semidirect
30. C4×#121×C107C2semidirect
31. C107×#2290C2semidirect
32. #540×C107C4semidirect
213. #127×C107C2×C4semidirect
214. #125×C107C2×C4semidirect
215. #123×C107C2×C4semidirect
216. #123×C107C2×C4semidirect
217. #123×C107C2×C4semidirect
218. #123×C107C2×C4semidirect
219. #121×C107C2×C4semidirect
220. #121×C107C2×C4semidirect
221. #121×C107C2×C4semidirect
222. #121×C107C2×C4semidirect
223. #121×C107C2×C4semidirect
224. #121×C107C2×C4semidirect
233. C4×D4×C107C2×C4semidirect
234. C4×D4×C107C2×C4semidirect
237. #117×C107C2×C4semidirect
769. #34442C107direct (N × H)
783. #2380C2×C107semidirect
784. #2377C2×C107semidirect
785. #2377C2×C107semidirect
786. #2376C2×C107semidirect
787. #2374C2×C107semidirect
788. #2366C2×C107semidirect
789. #2364C2×C107semidirect
790. #2364C2×C107semidirect
791. #2363C2×C107semidirect
792. #2361C2×C107semidirect
793. #2359C2×C107semidirect
794. #2359C2×C107semidirect
795. #2353C2×C107semidirect
796. #2352C2×C107semidirect
797. #2347C2×C107semidirect
798. #2343C2×C107semidirect
799. #2336C2×C107semidirect
800. #2336C2×C107semidirect
801. #2335C2×C107semidirect
802. #2335C2×C107semidirect
803. #2333C2×C107semidirect
804. #2333C2×C107semidirect
805. #2325C2×C107semidirect
806. #2325C2×C107semidirect
807. #2324C2×C107semidirect
808. #2322C2×C107semidirect
809. #2318C2×C107semidirect
810. C4×#123C2×C107semidirect
811. C4×#121C2×C107semidirect
812. #2290C2×C107semidirect
813. C107#34442direct (N × H)
814. #540C4×C107semidirect
995. #127C2×C4×C107semidirect
996. #125C2×C4×C107semidirect
997. #123C2×C4×C107semidirect
998. #123C2×C4×C107semidirect
999. #123C2×C4×C107semidirect
1000. #123C2×C4×C107semidirect
1001. #121C2×C4×C107semidirect
1002. #121C2×C4×C107semidirect
1003. #121C2×C4×C107semidirect
1004. #121C2×C4×C107semidirect
1005. #121C2×C4×C107semidirect
1006. #121C2×C4×C107semidirect
1015. C4×D4C2×C4×C107semidirect
1016. C4×D4C2×C4×C107semidirect
1019. #117C2×C4×C107semidirect

Maximal subgroups

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

subgroupindex
C2×#540×C1072
C107×#23802
C107×#23772
C107×#23762
C107×#23742
C107×#23662
C107×#23642
C107×#23632
C107×#23612
C107×#23592
C107×#23532
C107×#23522
C107×#23472
C107×#23432
C107×#23362
C107×#23352
C107×#23332
C107×#23252
C107×#23242
C107×#23222
C107×#23182
C4×#123×C1072
C4×#121×C1072
C107×#22902
#34442107