Finite Group Databasebeta

← C107×#35096 #41061060

Subgroups — C107×#35096 #41061060

Order 27392.

2342 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#539×C107C211yesmaximal, characteristic, complemented
2C2×C4×#41×C107C211yesmaximal, characteristic, complemented
3C107×#2855C211yesmaximal, characteristic, complemented
4C107×#2853C211yesmaximal, characteristic, complemented
5C107×#2852C211yesmaximal, characteristic, complemented
6C107×#2851C211yesmaximal, characteristic, complemented
7C107×#2638C211yesmaximal, characteristic, complemented
8C107×#2637C211yesmaximal, characteristic, complemented
9C107×#2634C211yesmaximal, characteristic, complemented
10C107×#2630C211yesmaximal, characteristic, complemented
11C107×#2478C211yesmaximal, characteristic, complemented
12C107×#2477C211yesmaximal, characteristic, complemented
13C107×#2475C211yesmaximal, characteristic, complemented
14C107×#2470C211yesmaximal, characteristic, complemented
15C107×#2468C211yesmaximal, characteristic, complemented
16C107×#2465C211yesmaximal, characteristic, complemented
17C107×#2462C211yesmaximal, characteristic, complemented
18C107×#2457C211yesmaximal, characteristic, complemented
19C107×#2450C211yesmaximal, characteristic, complemented
20C107×#2444C211yesmaximal, characteristic, complemented
21C107×#2438C211yesmaximal, characteristic, complemented
22C107×#2430C211yesmaximal, characteristic
23C107×#2425C211yesmaximal, characteristic, complemented
24C107×#2419C211yesmaximal, characteristic, complemented
25C107×#2413C211yesmaximal, characteristic, complemented
26C107×#2406C211yesmaximal, characteristic, complemented
27C107×#2325C211yesmaximal, characteristic, complemented
28C107×#2322C211yesmaximal, characteristic, complemented
29C107×#2318C211yesmaximal, characteristic, complemented
30C4×#123×C107C211yesmaximal, characteristic, complemented
31C2×#387×C107C211yesmaximal, characteristic, complemented
32C22×#41×C107C2211yescharacteristic
33#539×C107—28no—
34C2×#126×C107C2211yescharacteristic
35C2×#126×C107C2211yescharacteristic
36C2×#125×C107C2211yescharacteristic
37C2×#125×C107C2211yescharacteristic
38C2×#123×C107C2211yescharacteristic
39C2×#123×C107C2211yescharacteristic
40C2×#123×C107C2211yescharacteristic
41C2×#123×C107C2211yescharacteristic
42C2×#123×C107C2211yescharacteristic
43C2×#123×C107C2211yescharacteristic
44C2×C22⋊Q8×C107C2211yescharacteristic
45C2×C22⋊Q8×C107C2211yescharacteristic
46C2×C22⋊Q8×C107C2211yescharacteristic
47C2×#121×C107C2211yescharacteristic
48C2×#121×C107C2211yescharacteristic
49C4×#41×C107—28no—
50C2×C4×Q8×C107C2211yescharacteristic
51C2×C4×Q8×C107C2211yescharacteristic
52C2×C4×D4×C107C2211yescharacteristic
53C2×C4×D4×C107C2211yescharacteristic
54C2×C4×D4×C107C2211yescharacteristic
55C2×C4×D4×C107C2211yescharacteristic
56C2×C4×D4×C107C2211yescharacteristic
57C2×C4×D4×C107C2211yescharacteristic
58C2×C4×D4×C107C2211yescharacteristic
59C2×#117×C107C2211yescharacteristic
60C2×#117×C107C2211yescharacteristic
61C2×#117×C107C2211yescharacteristic
62C22×C4⋊C4×C107C2211yescharacteristic
63C22×C4⋊C4×C107C2211yescharacteristic
64C22×C42×C107C2211yescharacteristic
65C22×C42×C107C2211yescharacteristic
66C22×C42×C107C2211yescharacteristic
67#400×C107C2211yescharacteristic
68#400×C107C2211yescharacteristic
69#400×C107C2211yescharacteristic
70#400×C107C2211yescharacteristic
71#398×C107C2211yescharacteristic
72#398×C107C2211yescharacteristic
73#398×C107C2211yescharacteristic
74#398×C107C2211yescharacteristic
75#398×C107C2211yescharacteristic
76#398×C107C2211yescharacteristic
77#398×C107C2211yescharacteristic
78#397×C107C2211yescharacteristic
79#397×C107C2211yescharacteristic
80#397×C107C2211yescharacteristic
81#397×C107C2211yescharacteristic
82#397×C107C2211yescharacteristic
83#396×C107C2211yescharacteristic
84#396×C107C2211yescharacteristic
85#396×C107C2211yescharacteristic
86#396×C107C2211yescharacteristic
87#395×C107C2211yescharacteristic
88#395×C107C2211yescharacteristic
89#395×C107C2211yescharacteristic
90#395×C107C2211yescharacteristic
91#394×C107C2211yescharacteristic
92#394×C107C2211yescharacteristic
93#394×C107C2211yescharacteristic
94#394×C107C2211yescharacteristic
95#394×C107C2211yescharacteristic
96#393×C107C2211yescharacteristic
97#393×C107C2211yescharacteristic
98#392×C107C2211yescharacteristic
99#391×C107C2211yescharacteristic
100#391×C107C2211yescharacteristic
101#389×C107C2211yescharacteristic
102#389×C107C2211yescharacteristic
103#389×C107C2211yescharacteristic
104#389×C107C2211yescharacteristic
105#389×C107C2211yescharacteristic
106#389×C107C2211yescharacteristic
107#388×C107C2211yescharacteristic
108#388×C107C2211yescharacteristic
109#388×C107C2211yescharacteristic
110#388×C107C2211yescharacteristic
111#388×C107C2211yescharacteristic
112#388×C107C2211yescharacteristic
113#388×C107C2211yescharacteristic
114#388×C107C2211yescharacteristic
115#388×C107C2211yescharacteristic
116#388×C107C2211yescharacteristic
117#388×C107C2211yescharacteristic
118#388×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#387×C107C2211yescharacteristic
131#387×C107C2211yescharacteristic
132#387×C107C2211yescharacteristic
133#387×C107C2211yescharacteristic
134#387×C107C2211yescharacteristic
135#387×C107C2211yescharacteristic
136#387×C107C2211yescharacteristic
137#387×C107C2211yescharacteristic
138#387×C107C2211yescharacteristic
139#387×C107C2211yescharacteristic
140#387×C107C2211yescharacteristic
141#386×C107C2211yescharacteristic
142#386×C107C2211yescharacteristic
143#386×C107C2211yescharacteristic
144#386×C107C2211yescharacteristic
145#386×C107C2211yescharacteristic
146#386×C107C2211yescharacteristic
147#386×C107C2211yescharacteristic
148#386×C107C2211yescharacteristic
149#386×C107C2211yescharacteristic
150#386×C107C2211yescharacteristic
151#386×C107C2211yescharacteristic
152#386×C107C2211yescharacteristic
153#385×C107C2211yescharacteristic
154#385×C107C2211yescharacteristic
155#385×C107C2211yescharacteristic
156#385×C107C2211yescharacteristic
157#385×C107C2211yescharacteristic
158#385×C107C2211yescharacteristic
159#385×C107C2211yescharacteristic
160#385×C107C2211yescharacteristic
161#385×C107C2211yescharacteristic
162#385×C107C2211yescharacteristic
163#385×C107C2211yescharacteristic
164#385×C107C2211yescharacteristic
165#385×C107C2211yescharacteristic
166#385×C107C2211yescharacteristic
167#385×C107C2211yescharacteristic
168#385×C107C2211yescharacteristic
169#383×C107C2211yescharacteristic
170#382×C107C2211yescharacteristic
171#381×C107C2211yescharacteristic
172#381×C107C2211yescharacteristic
173#381×C107C2211yescharacteristic
174#381×C107C2211yescharacteristic
175#381×C107C2211yescharacteristic
176#380×C107C2211yescharacteristic
177#380×C107C2211yescharacteristic
178#380×C107C2211yescharacteristic
179#380×C107C2211yescharacteristic
180C4×C4⋊C4×C107C2211yescharacteristic
181C4×C4⋊C4×C107C2211yescharacteristic
182C4×C22⋊C4×C107C2211yescharacteristic
183C4×C22⋊C4×C107C2211yescharacteristic
184C4×C22⋊C4×C107C2211yescharacteristic
185C2×#95×C107C2211yescharacteristic
186C2×#95×C107C2211yescharacteristic
187C2×#95×C107C2211yescharacteristic
188C2×#95×C107C2211yescharacteristic
189C2×#41×C107—24no—
190C2×#41×C107—24no—
191C2×#41×C107—24no—
192C22×Q8×C107C2311yescharacteristic
193C22×Q8×C107C2311yescharacteristic
194C22×D4×C107C2311yescharacteristic
195C22×D4×C107C2311yescharacteristic
196C22×D4×C107C2311yescharacteristic
197C22×D4×C107C2311yescharacteristic
198C22×D4×C107C2311yescharacteristic
199C22×D4×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
213C23×C4×C107C2311yescharacteristic
214#126×C107—24no—
215#126×C107—24no—
216#125×C107—24no—
217#125×C107—24no—
218#123×C107—24no—
219#123×C107—24no—
220#123×C107—24no—
221#123×C107—24no—
222#123×C107—24no—
223#123×C107—24no—
224C22⋊Q8×C107—24no—
225C22⋊Q8×C107—24no—
226C22⋊Q8×C107—24no—
227#121×C107—24no—
228#121×C107—24no—
229C4×Q8×C107—24no—
230C4×Q8×C107—24no—
231C4×D4×C107—24no—
232C4×D4×C107—24no—
233C4×D4×C107—24no—
234C4×D4×C107—24no—
235C4×D4×C107—24no—
236C4×D4×C107—24no—
237C4×D4×C107D418yescomplemented
238#117×C107—24no—
239#117×C107—24no—
240#117×C107—24no—
241C2×C4⋊C4×C107—24no—
242C2×C4⋊C4×C107—24no—
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×C4⋊C4×C107C2311yescharacteristic
266C2×C4⋊C4×C107C2311yescharacteristic
267C2×C4⋊C4×C107C2311yescharacteristic
268C2×C4⋊C4×C107C2311yescharacteristic
269C2×C4⋊C4×C107C2311yescharacteristic
270C2×C4⋊C4×C107C2311yescharacteristic
271C2×C4⋊C4×C107C2311yescharacteristic
272C2×C4⋊C4×C107C2311yescharacteristic
273C2×C4⋊C4×C107C2311yescharacteristic
274C2×C4⋊C4×C107C2311yescharacteristic
275C2×C4⋊C4×C107C2311yescharacteristic
276C2×C4⋊C4×C107C2311yescharacteristic
277C2×C4⋊C4×C107C2311yescharacteristic
278C2×C4⋊C4×C107C2311yescharacteristic
279C2×C4⋊C4×C107C2311yescharacteristic
280C2×C4⋊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×C22⋊C4×C107C2311yescharacteristic
306C2×C22⋊C4×C107C2311yescharacteristic
307C2×C22⋊C4×C107C2311yescharacteristic
308C2×C22⋊C4×C107C2311yescharacteristic
309C2×C22⋊C4×C107C2311yescharacteristic
310C2×C22⋊C4×C107C2311yescharacteristic
311C2×C22⋊C4×C107C2311yescharacteristic
312C2×C22⋊C4×C107C2311yescharacteristic
313C2×C22⋊C4×C107C2311yescharacteristic
314C2×C22⋊C4×C107C2311yescharacteristic
315C2×C42×C107—24no—
316C2×C42×C107—24no—
317C2×C42×C107—24no—
318C2×C42×C107C2311yescharacteristic
319C2×C42×C107C2311yescharacteristic
320C2×C42×C107C2311yescharacteristic
321C2×C42×C107C2311yescharacteristic
322C2×C42×C107C2311yescharacteristic
323C2×C42×C107C2311yescharacteristic
324C2×C42×C107C2311yescharacteristic
325C2×C42×C107C2311yescharacteristic
326C2×C42×C107C2311yescharacteristic
327C2×C42×C107C2311yescharacteristic
328C2×C42×C107C2311yescharacteristic
329C2×C42×C107C2311yescharacteristic
330C2×C42×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
370#95×C107C2311yescharacteristic
371#95×C107C2311yescharacteristic
372#95×C107C2311yescharacteristic
373#95×C107C2311yescharacteristic
374#95×C107C2311yescharacteristic
375#95×C107C2311yescharacteristic
376#95×C107C2311yescharacteristic
377#95×C107C2311yescharacteristic
378#95×C107C2311yescharacteristic
379C24×C107C2411yescharacteristic
380C24×C107C2411yescharacteristic
381C24×C107C2411yescharacteristic
382C24×C107C2411yescharacteristic
383#41×C107—232no—
384C2×Q8×C107—22no—
385C2×Q8×C107—22no—
386C2×Q8×C107—22no—
387C2×Q8×C107—22no—
388C2×Q8×C107—41no—
389C2×Q8×C107—41no—
390C2×D4×C107—22no—
391C2×D4×C107—22no—
392C2×D4×C107—22no—
393C2×D4×C107—22no—
394C2×D4×C107—22no—
395C2×D4×C107—22no—
396C2×D4×C107—22no—
397C2×D4×C107—22no—
398C2×D4×C107—22no—
399C2×D4×C107—22no—
400C2×D4×C107—22no—
401C2×D4×C107—22no—
402C2×D4×C107—41no—
403C2×D4×C107—41no—
404C2×D4×C107—41no—
405C2×D4×C107—41no—
406C2×D4×C107C2×D414yes—
407C2×D4×C107#4114yes—
408C22×C4×C107—22no—
409C22×C4×C107—22no—
410C22×C4×C107—22no—
411C22×C4×C107—22no—
412C22×C4×C107—22no—
413C22×C4×C107—22no—
414C22×C4×C107—22no—
415C22×C4×C107—22no—
416C22×C4×C107—22no—
417C22×C4×C107—22no—
418C22×C4×C107—22no—
419C22×C4×C107—22no—
420C22×C4×C107—22no—
421C22×C4×C107—22no—
422C22×C4×C107—22no—
423C22×C4×C107—22no—
424C22×C4×C107—22no—
425C22×C4×C107—22no—
426C22×C4×C107—22no—
427C22×C4×C107—22no—
428C22×C4×C107—22no—
429C22×C4×C107—22no—
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×C107—41no—
446C22×C4×C107—41no—
447C22×C4×C107C2×D414yes—
448C22×C4×C107C2×D414yes—
449C22×C4×C107#4114yes—
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
476C22×C4×C107C2411yescharacteristic
477C4⋊C4×C107—22no—
478C4⋊C4×C107—22no—
479C4⋊C4×C107—22no—
480C4⋊C4×C107—22no—
481C4⋊C4×C107—22no—
482C4⋊C4×C107—22no—
483C4⋊C4×C107—22no—
484C4⋊C4×C107—22no—
485C4⋊C4×C107—22no—
486C4⋊C4×C107—22no—
487C4⋊C4×C107—22no—
488C4⋊C4×C107—22no—
489C4⋊C4×C107—22no—
490C4⋊C4×C107—22no—
491C4⋊C4×C107—22no—
492C4⋊C4×C107—22no—
493C4⋊C4×C107—22no—
494C4⋊C4×C107—22no—
495C4⋊C4×C107—22no—
496C4⋊C4×C107—22no—
497C4⋊C4×C107—22no—
498C4⋊C4×C107—22no—
499C4⋊C4×C107—22no—
500C4⋊C4×C107—22no—
501C4⋊C4×C107—22no—
502C4⋊C4×C107—22no—
503C4⋊C4×C107—22no—
504C4⋊C4×C107—22no—
505C4⋊C4×C107—41no—
506C4⋊C4×C107—41no—
507C4⋊C4×C107—41no—
508C4⋊C4×C107—41no—
509C4⋊C4×C107—41no—
510C4⋊C4×C107—41no—
511C4⋊C4×C107—41no—
512C4⋊C4×C107—41no—
513C4⋊C4×C107—41no—
514C4⋊C4×C107C2×D414yes—
515C22⋊C4×C107—22no—
516C22⋊C4×C107—22no—
517C22⋊C4×C107—22no—
518C22⋊C4×C107—22no—
519C22⋊C4×C107—22no—
520C22⋊C4×C107—22no—
521C22⋊C4×C107—22no—
522C22⋊C4×C107—22no—
523C22⋊C4×C107—22no—
524C22⋊C4×C107—22no—
525C22⋊C4×C107—22no—
526C22⋊C4×C107—22no—
527C22⋊C4×C107—22no—
528C22⋊C4×C107—22no—
529C22⋊C4×C107—22no—
530C22⋊C4×C107—22no—
531C22⋊C4×C107—22no—
532C22⋊C4×C107—22no—
533C22⋊C4×C107—22no—
534C22⋊C4×C107—22no—
535C22⋊C4×C107—22no—
536C22⋊C4×C107—41no—
537C22⋊C4×C107—41no—
538C22⋊C4×C107—41no—
539C22⋊C4×C107—41no—
540C22⋊C4×C107—41no—
541C22⋊C4×C107—41no—
542C22⋊C4×C107—41no—
543C22⋊C4×C107—41no—
544C22⋊C4×C107—41no—
545C22⋊C4×C107—41no—
546C22⋊C4×C107—41no—
547C22⋊C4×C107C2×D414yes—
548C22⋊C4×C107C2×D414yes—
549C42×C107—22no—
550C42×C107—22no—
551C42×C107—22no—
552C42×C107—22no—
553C42×C107—22no—
554C42×C107—22no—
555C42×C107—22no—
556C42×C107—22no—
557C42×C107—22no—
558C42×C107—22no—
559C42×C107—41no—
560C42×C107—41no—
561C42×C107C2×D414yes—
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×C107C22×D412yes—
586C23×C107C22×D412yes—
587C23×C107C2×#4112yes—
588C23×C107C2×#4112yes—
589C23×C107C2×#4112yes—
590C23×C107C2511yescharacteristic
591Q8×C107—28no—
592Q8×C107—82no—
593D4×C107—28no—
594D4×C107—28no—
595D4×C107—28no—
596D4×C107—44no—
597D4×C107—82no—
598D4×C107—82no—
599C2×C4×C107—28no—
600C2×C4×C107—28no—
601C2×C4×C107—28no—
602C2×C4×C107—21no—
603C2×C4×C107—21no—
604C2×C4×C107—21no—
605C2×C4×C107—21no—
606C2×C4×C107—21no—
607C2×C4×C107—21no—
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—44no—
682C2×C4×C107—82no—
683C2×C4×C107—82no—
684C2×C4×C107—82no—
685C2×C4×C107C22×D412yes—
686C2×C4×C107C22×D412yes—
687C2×C4×C107C22×D412yes—
688C2×C4×C107C22×D412yes—
689C2×C4×C107C22×D412yes—
690C2×C4×C107C2×#4112yes—
691C2×C4×C107C2×#4112yes—
692C2×C4×C107C2×#4112yes—
693C2×C4×C1072−1+412yes—
694C22×C107—22no—
695C22×C107—22no—
696C22×C107—22no—
697C22×C107—22no—
698C22×C107—22no—
699C22×C107—22no—
700C22×C107—22no—
701C22×C107—22no—
702C22×C107—22no—
703C22×C107—22no—
704C22×C107—22no—
705C22×C107—22no—
706C22×C107—41no—
707C22×C107—41no—
708C22×C107—41no—
709C22×C107—41no—
710C22×C107—41no—
711C22×C107—41no—
712C22×C107—41no—
713C22×C107—41no—
714C22×C107—41no—
715C22×C107—41no—
716C22×C107—41no—
717C22×C107—41no—
718C22×C107—41no—
719C22×C107—41no—
720C22×C107—41no—
721C22×C107#52514yes—
722C22×C107C23×D411yescharacteristic
723C22×C107C22×#4111yescharacteristic
724C22×C107C22×#4111yescharacteristic
725C22×C107C2×2−1+411yescharacteristic
726C22×C107#58511yescharacteristic
727C22×C107#58511yescharacteristic
728C22×C107#58511yescharacteristic
729C4×C107—22no—
730C4×C107—22no—
731C4×C107—22no—
732C4×C107—22no—
733C4×C107—22no—
734C4×C107—22no—
735C4×C107—22no—
736C4×C107—22no—
737C4×C107—22no—
738C4×C107—41no—
739C4×C107—41no—
740C4×C107—41no—
741C4×C107—41no—
742C4×C107—41no—
743C4×C107—41no—
744C4×C107—41no—
745C4×C107—41no—
746C4×C107—41no—
747C4×C107—41no—
748C4×C107—41no—
749C4×C107—41no—
750C4×C107—41no—
751C4×C107—41no—
752C4×C107—41no—
753C4×C107—41no—
754C4×C107—41no—
755C4×C107—41no—
756#35096C10711yesmaximal, characteristic, direct product factor, Sylow
757C2×C107—24no—
758C2×C107—42no—
759C2×C107—42no—
760C2×C107—81no—
761C2×C107C2×#52511yescharacteristic
762C2×C107#345511yescharacteristic
763C2×C107#346111yescharacteristic
764C2×C107#348511yescharacteristic
765C2×C107#348911yescharacteristic
766C2×C107#351511yescharacteristic
767C2×C107#352111yescharacteristic
768C2×#539C2×C10711yescharacteristic, complemented
769C2×C4×#41C2×C10711yescharacteristic, complemented
770#2855C2×C10711yescharacteristic, complemented
771#2853C2×C10711yescharacteristic, complemented
772#2852C2×C10711yescharacteristic, complemented
773#2851C2×C10711yescharacteristic, complemented
774#2638C2×C10711yescharacteristic, complemented
775#2637C2×C10711yescharacteristic, complemented
776#2634C2×C10711yescharacteristic, complemented
777#2630C2×C10711yescharacteristic, complemented
778#2478C2×C10711yescharacteristic, complemented
779#2477C2×C10711yescharacteristic, complemented
780#2475C2×C10711yescharacteristic, complemented
781#2470C2×C10711yescharacteristic, complemented
782#2468C2×C10711yescharacteristic, complemented
783#2465C2×C10711yescharacteristic, complemented
784#2462C2×C10711yescharacteristic, complemented
785#2457C2×C10711yescharacteristic, complemented
786#2450C2×C10711yescharacteristic, complemented
787#2444C2×C10711yescharacteristic, complemented
788#2438C2×C10711yescharacteristic, complemented
789#2430C2×C10711yescharacteristic
790#2425C2×C10711yescharacteristic, complemented
791#2419C2×C10711yescharacteristic, complemented
792#2413C2×C10711yescharacteristic, complemented
793#2406C2×C10711yescharacteristic, complemented
794#2325C2×C10711yescharacteristic, complemented
795#2322C2×C10711yescharacteristic, complemented
796#2318C2×C10711yescharacteristic, complemented
797C4×#123C2×C10711yescharacteristic, complemented
798C2×#387C2×C10711yescharacteristic, complemented
799C107#3509611yescharacteristic, direct product factor, Sylow
800C22×#41C22×C10711yescharacteristic
801#539—28no—
802C2×#126C22×C10711yescharacteristic
803C2×#126C22×C10711yescharacteristic
804C2×#125C22×C10711yescharacteristic
805C2×#125C22×C10711yescharacteristic
806C2×#123C22×C10711yescharacteristic
807C2×#123C22×C10711yescharacteristic
808C2×#123C22×C10711yescharacteristic
809C2×#123C22×C10711yescharacteristic
810C2×#123C22×C10711yescharacteristic
811C2×#123C22×C10711yescharacteristic
812C2×C22⋊Q8C22×C10711yescharacteristic
813C2×C22⋊Q8C22×C10711yescharacteristic
814C2×C22⋊Q8C22×C10711yescharacteristic
815C2×#121C22×C10711yescharacteristic
816C2×#121C22×C10711yescharacteristic
817C4×#41—28no—
818C2×C4×Q8C22×C10711yescharacteristic
819C2×C4×Q8C22×C10711yescharacteristic
820C2×C4×D4C22×C10711yescharacteristic
821C2×C4×D4C22×C10711yescharacteristic
822C2×C4×D4C22×C10711yescharacteristic
823C2×C4×D4C22×C10711yescharacteristic
824C2×C4×D4C22×C10711yescharacteristic
825C2×C4×D4C22×C10711yescharacteristic
826C2×C4×D4C22×C10711yescharacteristic
827C2×#117C22×C10711yescharacteristic
828C2×#117C22×C10711yescharacteristic
829C2×#117C22×C10711yescharacteristic
830C22×C4⋊C4C22×C10711yescharacteristic
831C22×C4⋊C4C22×C10711yescharacteristic
832C22×C42C22×C10711yescharacteristic
833C22×C42C22×C10711yescharacteristic
834C22×C42C22×C10711yescharacteristic
835#400C22×C10711yescharacteristic
836#400C22×C10711yescharacteristic
837#400C22×C10711yescharacteristic
838#400C22×C10711yescharacteristic
839#398C22×C10711yescharacteristic
840#398C22×C10711yescharacteristic
841#398C22×C10711yescharacteristic
842#398C22×C10711yescharacteristic
843#398C22×C10711yescharacteristic
844#398C22×C10711yescharacteristic
845#398C22×C10711yescharacteristic
846#397C22×C10711yescharacteristic
847#397C22×C10711yescharacteristic
848#397C22×C10711yescharacteristic
849#397C22×C10711yescharacteristic
850#397C22×C10711yescharacteristic
851#396C22×C10711yescharacteristic
852#396C22×C10711yescharacteristic
853#396C22×C10711yescharacteristic
854#396C22×C10711yescharacteristic
855#395C22×C10711yescharacteristic
856#395C22×C10711yescharacteristic
857#395C22×C10711yescharacteristic
858#395C22×C10711yescharacteristic
859#394C22×C10711yescharacteristic
860#394C22×C10711yescharacteristic
861#394C22×C10711yescharacteristic
862#394C22×C10711yescharacteristic
863#394C22×C10711yescharacteristic
864#393C22×C10711yescharacteristic
865#393C22×C10711yescharacteristic
866#392C22×C10711yescharacteristic
867#391C22×C10711yescharacteristic
868#391C22×C10711yescharacteristic
869#389C22×C10711yescharacteristic
870#389C22×C10711yescharacteristic
871#389C22×C10711yescharacteristic
872#389C22×C10711yescharacteristic
873#389C22×C10711yescharacteristic
874#389C22×C10711yescharacteristic
875#388C22×C10711yescharacteristic
876#388C22×C10711yescharacteristic
877#388C22×C10711yescharacteristic
878#388C22×C10711yescharacteristic
879#388C22×C10711yescharacteristic
880#388C22×C10711yescharacteristic
881#388C22×C10711yescharacteristic
882#388C22×C10711yescharacteristic
883#388C22×C10711yescharacteristic
884#388C22×C10711yescharacteristic
885#388C22×C10711yescharacteristic
886#388C22×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#387C22×C10711yescharacteristic
897#387C22×C10711yescharacteristic
898#387C22×C10711yescharacteristic
899#387C22×C10711yescharacteristic
900#387C22×C10711yescharacteristic
901#387C22×C10711yescharacteristic
902#387C22×C10711yescharacteristic
903#387C22×C10711yescharacteristic
904#387C22×C10711yescharacteristic
905#387C22×C10711yescharacteristic
906#387C22×C10711yescharacteristic
907#387C22×C10711yescharacteristic
908#387C22×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#386C22×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#385C22×C10711yescharacteristic
931#385C22×C10711yescharacteristic
932#385C22×C10711yescharacteristic
933#385C22×C10711yescharacteristic
934#385C22×C10711yescharacteristic
935#385C22×C10711yescharacteristic
936#385C22×C10711yescharacteristic
937#383C22×C10711yescharacteristic
938#382C22×C10711yescharacteristic
939#381C22×C10711yescharacteristic
940#381C22×C10711yescharacteristic
941#381C22×C10711yescharacteristic
942#381C22×C10711yescharacteristic
943#381C22×C10711yescharacteristic
944#380C22×C10711yescharacteristic
945#380C22×C10711yescharacteristic
946#380C22×C10711yescharacteristic
947#380C22×C10711yescharacteristic
948C4×C4⋊C4C22×C10711yescharacteristic
949C4×C4⋊C4C22×C10711yescharacteristic
950C4×C22⋊C4C22×C10711yescharacteristic
951C4×C22⋊C4C22×C10711yescharacteristic
952C4×C22⋊C4C22×C10711yescharacteristic
953C2×#95C22×C10711yescharacteristic
954C2×#95C22×C10711yescharacteristic
955C2×#95C22×C10711yescharacteristic
956C2×#95C22×C10711yescharacteristic
957C2×#41—24no—
958C2×#41—24no—
959C2×#41—24no—
960C22×Q8C23×C10711yescharacteristic
961C22×Q8C23×C10711yescharacteristic
962C22×D4C23×C10711yescharacteristic
963C22×D4C23×C10711yescharacteristic
964C22×D4C23×C10711yescharacteristic
965C22×D4C23×C10711yescharacteristic
966C22×D4C23×C10711yescharacteristic
967C22×D4C23×C10711yescharacteristic
968C23×C4C23×C10711yescharacteristic
969C23×C4C23×C10711yescharacteristic
970C23×C4C23×C10711yescharacteristic
971C23×C4C23×C10711yescharacteristic
972C23×C4C23×C10711yescharacteristic
973C23×C4C23×C10711yescharacteristic
974C23×C4C23×C10711yescharacteristic
975C23×C4C23×C10711yescharacteristic
976C23×C4C23×C10711yescharacteristic
977C23×C4C23×C10711yescharacteristic
978C23×C4C23×C10711yescharacteristic
979C23×C4C23×C10711yescharacteristic
980C23×C4C23×C10711yescharacteristic
981C23×C4C23×C10711yescharacteristic
982#126—24no—
983#126—24no—
984#125—24no—
985#125—24no—
986#123—24no—
987#123—24no—
988#123—24no—
989#123—24no—
990#123—24no—
991#123—24no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995#121—24no—
996#121—24no—
997C4×Q8—24no—
998C4×Q8—24no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—24no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4D4×C10718yescomplemented
1006#117—24no—
1007#117—24no—
1008#117—24no—
1009C2×C4⋊C4—24no—
1010C2×C4⋊C4—24no—
1011C2×C4⋊C4C23×C10711yescharacteristic
1012C2×C4⋊C4C23×C10711yescharacteristic
1013C2×C4⋊C4C23×C10711yescharacteristic
1014C2×C4⋊C4C23×C10711yescharacteristic
1015C2×C4⋊C4C23×C10711yescharacteristic
1016C2×C4⋊C4C23×C10711yescharacteristic
1017C2×C4⋊C4C23×C10711yescharacteristic
1018C2×C4⋊C4C23×C10711yescharacteristic
1019C2×C4⋊C4C23×C10711yescharacteristic
1020C2×C4⋊C4C23×C10711yescharacteristic
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×C4⋊C4C23×C10711yescharacteristic
1048C2×C4⋊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×C42—24no—
1084C2×C42—24no—
1085C2×C42—24no—
1086C2×C42C23×C10711yescharacteristic
1087C2×C42C23×C10711yescharacteristic
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
1099#95C23×C10711yescharacteristic
1100#95C23×C10711yescharacteristic
1101#95C23×C10711yescharacteristic
1102#95C23×C10711yescharacteristic
1103#95C23×C10711yescharacteristic
1104#95C23×C10711yescharacteristic
1105#95C23×C10711yescharacteristic
1106#95C23×C10711yescharacteristic
1107#95C23×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
1147C24C24×C10711yescharacteristic
1148C24C24×C10711yescharacteristic
1149C24C24×C10711yescharacteristic
1150C24C24×C10711yescharacteristic
1151#41—232no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—41no—
1157C2×Q8—41no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4C2×D4×C10714yes—
1175C2×D4#41×C10714yes—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
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×C4C2×D4×C10714yes—
1216C22×C4C2×D4×C10714yes—
1217C22×C4#41×C10714yes—
1218C22×C4C24×C10711yescharacteristic
1219C22×C4C24×C10711yescharacteristic
1220C22×C4C24×C10711yescharacteristic
1221C22×C4C24×C10711yescharacteristic
1222C22×C4C24×C10711yescharacteristic
1223C22×C4C24×C10711yescharacteristic
1224C22×C4C24×C10711yescharacteristic
1225C22×C4C24×C10711yescharacteristic
1226C22×C4C24×C10711yescharacteristic
1227C22×C4C24×C10711yescharacteristic
1228C22×C4C24×C10711yescharacteristic
1229C22×C4C24×C10711yescharacteristic
1230C22×C4C24×C10711yescharacteristic
1231C22×C4C24×C10711yescharacteristic
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
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4C2×D4×C10714yes—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
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⋊C4—41no—
1315C22⋊C4C2×D4×C10714yes—
1316C22⋊C4C2×D4×C10714yes—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—22no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—41no—
1328C42—41no—
1329C42C2×D4×C10714yes—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23C22×D4×C10712yes—
1354C23C22×D4×C10712yes—
1355C23C2×#41×C10712yes—
1356C23C2×#41×C10712yes—
1357C23C2×#41×C10712yes—
1358C23C25×C10711yescharacteristic
1359Q8—28no—
1360Q8—82no—
1361D4—28no—
1362D4—28no—
1363D4—28no—
1364D4—44no—
1365D4—82no—
1366D4—82no—
1367C2×C4—28no—
1368C2×C4—28no—
1369C2×C4—28no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
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—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—82no—
1451C2×C4—82no—
1452C2×C4—82no—
1453C2×C4C22×D4×C10712yes—
1454C2×C4C22×D4×C10712yes—
1455C2×C4C22×D4×C10712yes—
1456C2×C4C22×D4×C10712yes—
1457C2×C4C22×D4×C10712yes—
1458C2×C4C2×#41×C10712yes—
1459C2×C4C2×#41×C10712yes—
1460C2×C4C2×#41×C10712yes—
1461C2×C42−1+4×C10712yes—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22#525×C10714yes—
1490C22C23×D4×C10711yescharacteristic
1491C22C22×#41×C10711yescharacteristic
1492C22C22×#41×C10711yescharacteristic
1493C22C2×2−1+4×C10711yescharacteristic
1494C22#585×C10711yescharacteristic
1495C22#585×C10711yescharacteristic
1496C22#585×C10711yescharacteristic
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—22no—
1502C4—22no—
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C2—24no—
1525C2—42no—
1526C2—42no—
1527C2—81no—
1528C2C2×#525×C10711yescharacteristic
1529C2C107×#345511yescharacteristic
1530C2C107×#346111yescharacteristic
1531C2C107×#348511yescharacteristic
1532C2C107×#348911yescharacteristic
1533C2C107×#351511yescharacteristic
1534C2C107×#352111yescharacteristic
subgroupG/H
center, socleC23×C107C25
commutator, Frattini, cosocleC23C25×C107
prime radicalC107×#2430C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#539×C107C2semidirect
2. C2×C4×#41×C107C2semidirect
3. C107×#2855C2semidirect
4. C107×#2853C2semidirect
5. C107×#2852C2semidirect
6. C107×#2851C2semidirect
7. C107×#2638C2semidirect
8. C107×#2637C2semidirect
9. C107×#2634C2semidirect
10. C107×#2630C2semidirect
11. C107×#2478C2semidirect
12. C107×#2477C2semidirect
13. C107×#2475C2semidirect
14. C107×#2470C2semidirect
15. C107×#2468C2semidirect
16. C107×#2465C2semidirect
17. C107×#2462C2semidirect
18. C107×#2457C2semidirect
19. C107×#2450C2semidirect
20. C107×#2444C2semidirect
21. C107×#2438C2semidirect
23. C107×#2425C2semidirect
24. C107×#2419C2semidirect
25. C107×#2413C2semidirect
26. C107×#2406C2semidirect
27. C107×#2325C2semidirect
28. C107×#2322C2semidirect
29. C107×#2318C2semidirect
30. C4×#123×C107C2semidirect
31. C2×#387×C107C2semidirect
237. C4×D4×C107D4semidirect
756. #35096C107direct (N × H)
768. C2×#539C2×C107semidirect
769. C2×C4×#41C2×C107semidirect
770. #2855C2×C107semidirect
771. #2853C2×C107semidirect
772. #2852C2×C107semidirect
773. #2851C2×C107semidirect
774. #2638C2×C107semidirect
775. #2637C2×C107semidirect
776. #2634C2×C107semidirect
777. #2630C2×C107semidirect
778. #2478C2×C107semidirect
779. #2477C2×C107semidirect
780. #2475C2×C107semidirect
781. #2470C2×C107semidirect
782. #2468C2×C107semidirect
783. #2465C2×C107semidirect
784. #2462C2×C107semidirect
785. #2457C2×C107semidirect
786. #2450C2×C107semidirect
787. #2444C2×C107semidirect
788. #2438C2×C107semidirect
790. #2425C2×C107semidirect
791. #2419C2×C107semidirect
792. #2413C2×C107semidirect
793. #2406C2×C107semidirect
794. #2325C2×C107semidirect
795. #2322C2×C107semidirect
796. #2318C2×C107semidirect
797. C4×#123C2×C107semidirect
798. C2×#387C2×C107semidirect
799. C107#35096direct (N × H)
1005. C4×D4D4×C107semidirect

Maximal subgroups

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

subgroupindex
C2×#539×C1072
C2×C4×#41×C1072
C107×#28552
C107×#28532
C107×#28522
C107×#28512
C107×#26382
C107×#26372
C107×#26342
C107×#26302
C107×#24782
C107×#24772
C107×#24752
C107×#24702
C107×#24682
C107×#24652
C107×#24622
C107×#24572
C107×#24502
C107×#24442
C107×#24382
C107×#24302
C107×#24252
C107×#24192
C107×#24132
C107×#24062
C107×#23252
C107×#23222
C107×#23182
C4×#123×C1072
C2×#387×C1072
#35096107