Finite Group Databasebeta

← C107×#36745 #41062709

Subgroups — C107×#36745 #41062709

Order 27392.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#542×C107C211yesmaximal, characteristic, complemented
2C2×#538×C107C211yesmaximal, characteristic, complemented
3C107×#2854C211yesmaximal, characteristic, complemented
4C107×#2850C211yesmaximal, characteristic, complemented
5C107×#2723C211yesmaximal, characteristic, complemented
6C107×#2716C211yesmaximal, characteristic, complemented
7C107×#2715C211yesmaximal, characteristic, complemented
8C107×#2712C211yesmaximal, characteristic, complemented
9C107×#2700C211yesmaximal, characteristic, complemented
10C107×#2698C211yesmaximal, characteristic, complemented
11C107×#2696C211yesmaximal, characteristic, complemented
12C107×#2691C211yesmaximal, characteristic, complemented
13C107×#2688C211yesmaximal, characteristic, complemented
14C107×#2686C211yesmaximal, characteristic, complemented
15C107×#2685C211yesmaximal, characteristic, complemented
16C107×#2684C211yesmaximal, characteristic, complemented
17C107×#2676C211yesmaximal, characteristic, complemented
18C107×#2674C211yesmaximal, characteristic, complemented
19C107×#2670C211yesmaximal, characteristic, complemented
20C107×#2668C211yesmaximal, characteristic, complemented
21C107×#2663C211yesmaximal, characteristic, complemented
22C107×#2661C211yesmaximal, characteristic, complemented
23C107×#2610C211yesmaximal, characteristic, complemented
24C107×#2604C211yesmaximal, characteristic, complemented
25C107×#2602C211yesmaximal, characteristic, complemented
26C107×#2601C211yesmaximal, characteristic, complemented
27C107×#2592C211yesmaximal, characteristic, complemented
28C107×#2561C211yesmaximal, characteristic, complemented
29C107×#2415C211yesmaximal, characteristic, complemented
30C107×#2411C211yesmaximal, characteristic, complemented
31C107×#2290C211yesmaximal, characteristic, complemented
32#542×C107—28no—
33#538×C107—28no—
34C2×C4⋊Q8×C107C2211yescharacteristic, complemented
35C2×#126×C107C2211yescharacteristic
36C2×#126×C107C2211yescharacteristic
37C2×#126×C107C2211yescharacteristic
38C2×#126×C107C2211yescharacteristic, complemented
39C2×#124×C107C2211yescharacteristic
40C2×#124×C107C2211yescharacteristic
41C2×#124×C107C2211yescharacteristic
42C2×#124×C107C2211yescharacteristic
43C2×#124×C107C2211yescharacteristic
44C2×#124×C107C2211yescharacteristic, complemented
45C2×#123×C107C2211yescharacteristic
46C2×#123×C107C2211yescharacteristic
47C2×#123×C107C2211yescharacteristic
48C2×#123×C107C2211yescharacteristic, complemented
49C2×C22⋊Q8×C107C2211yescharacteristic
50C2×C22⋊Q8×C107C2211yescharacteristic
51C2×C22⋊Q8×C107C2211yescharacteristic, complemented
52C2×C22⋊Q8×C107C2211yescharacteristic, complemented
53C2×C22⋊Q8×C107C2211yescharacteristic, complemented
54C2×#121×C107C2211yescharacteristic
55C2×#121×C107C2211yescharacteristic
56C2×#121×C107C2211yescharacteristic
57C2×#121×C107C2211yescharacteristic
58C2×#121×C107C2211yescharacteristic
59C2×#120×C107C2211yescharacteristic
60C2×#120×C107C2211yescharacteristic
61C2×#120×C107C2211yescharacteristic
62C2×C4×Q8×C107C2211yescharacteristic, complemented
63C2×C4×D4×C107C2211yescharacteristic
64C2×C4×D4×C107C2211yescharacteristic
65C2×#117×C107C2211yescharacteristic
66C2×#117×C107C2211yescharacteristic, complemented
67C22×C22⋊C4×C107C2211yescharacteristic
68C22×C42×C107C2211yescharacteristic, complemented
69#400×C107C2211yescharacteristic, complemented
70#400×C107C2211yescharacteristic, complemented
71#399×C107C2211yescharacteristic
72#399×C107C2211yescharacteristic
73#398×C107C2211yescharacteristic, complemented
74#398×C107C2211yescharacteristic, complemented
75#397×C107C2211yescharacteristic
76#397×C107C2211yescharacteristic
77#397×C107C2211yescharacteristic
78#397×C107C2211yescharacteristic
79#397×C107C2211yescharacteristic
80#397×C107C2211yescharacteristic
81#397×C107C2211yescharacteristic, complemented
82#397×C107C2211yescharacteristic, complemented
83#397×C107C2211yescharacteristic, complemented
84#397×C107C2211yescharacteristic, complemented
85#396×C107C2211yescharacteristic
86#396×C107C2211yescharacteristic
87#396×C107C2211yescharacteristic
88#396×C107C2211yescharacteristic, complemented
89#395×C107C2211yescharacteristic, complemented
90#395×C107C2211yescharacteristic, complemented
91#395×C107C2211yescharacteristic, complemented
92#394×C107C2211yescharacteristic
93#394×C107C2211yescharacteristic
94#394×C107C2211yescharacteristic
95#394×C107C2211yescharacteristic
96#394×C107C2211yescharacteristic
97#394×C107C2211yescharacteristic
98#394×C107C2211yescharacteristic
99#394×C107C2211yescharacteristic
100#394×C107C2211yescharacteristic
101#394×C107C2211yescharacteristic
102#394×C107C2211yescharacteristic
103#394×C107C2211yescharacteristic
104#394×C107C2211yescharacteristic, complemented
105#393×C107C2211yescharacteristic
106#393×C107C2211yescharacteristic
107#393×C107C2211yescharacteristic
108#393×C107C2211yescharacteristic
109#393×C107C2211yescharacteristic
110#393×C107C2211yescharacteristic, complemented
111#393×C107C2211yescharacteristic, complemented
112#392×C107C2211yescharacteristic
113#392×C107C2211yescharacteristic
114#392×C107C2211yescharacteristic
115#392×C107C2211yescharacteristic
116#392×C107C2211yescharacteristic, complemented
117#391×C107C2211yescharacteristic, complemented
118#391×C107C2211yescharacteristic, complemented
119#391×C107C2211yescharacteristic, complemented
120#391×C107C2211yescharacteristic, complemented
121#390×C107C2211yescharacteristic
122#390×C107C2211yescharacteristic
123#390×C107C2211yescharacteristic
124#390×C107C2211yescharacteristic
125#390×C107C2211yescharacteristic
126#390×C107C2211yescharacteristic
127#390×C107C2211yescharacteristic, complemented
128#389×C107C2211yescharacteristic, complemented
129#389×C107C2211yescharacteristic, complemented
130#389×C107C2211yescharacteristic, complemented
131#389×C107C2211yescharacteristic, complemented
132#389×C107C2211yescharacteristic, complemented
133#388×C107C2211yescharacteristic
134#388×C107C2211yescharacteristic
135#388×C107C2211yescharacteristic
136#388×C107C2211yescharacteristic
137#388×C107C2211yescharacteristic
138#388×C107C2211yescharacteristic
139#388×C107C2211yescharacteristic
140#388×C107C2211yescharacteristic
141#388×C107C2211yescharacteristic
142#388×C107C2211yescharacteristic
143#388×C107C2211yescharacteristic
144#388×C107C2211yescharacteristic
145#388×C107C2211yescharacteristic
146#388×C107C2211yescharacteristic, complemented
147#388×C107C2211yescharacteristic, complemented
148#388×C107C2211yescharacteristic, complemented
149#388×C107C2211yescharacteristic, complemented
150#388×C107C2211yescharacteristic, complemented
151#388×C107C2211yescharacteristic, complemented
152#388×C107C2211yescharacteristic, complemented
153#387×C107C2211yescharacteristic, complemented
154#387×C107C2211yescharacteristic, complemented
155#387×C107C2211yescharacteristic, complemented
156#387×C107C2211yescharacteristic, complemented
157#387×C107C2211yescharacteristic, complemented
158#387×C107C2211yescharacteristic, complemented
159#386×C107C2211yescharacteristic
160#386×C107C2211yescharacteristic
161#386×C107C2211yescharacteristic
162#386×C107C2211yescharacteristic
163#386×C107C2211yescharacteristic
164#386×C107C2211yescharacteristic
165#386×C107C2211yescharacteristic
166#386×C107C2211yescharacteristic
167#386×C107C2211yescharacteristic, complemented
168#386×C107C2211yescharacteristic, complemented
169#386×C107C2211yescharacteristic, complemented
170#386×C107C2211yescharacteristic, complemented
171#386×C107C2211yescharacteristic, complemented
172#385×C107C2211yescharacteristic
173#385×C107C2211yescharacteristic, complemented
174#385×C107C2211yescharacteristic, complemented
175#385×C107C2211yescharacteristic, complemented
176#385×C107C2211yescharacteristic, complemented
177#382×C107C2211yescharacteristic, complemented
178#381×C107C2211yescharacteristic
179#381×C107C2211yescharacteristic
180#380×C107C2211yescharacteristic, complemented
181#380×C107C2211yescharacteristic, complemented
182#379×C107C2211yescharacteristic
183#379×C107C2211yescharacteristic
184#379×C107C2211yescharacteristic
185C4×C4⋊C4×C107C2211yescharacteristic, complemented
186C4×C22⋊C4×C107C2211yescharacteristic
187C4×C22⋊C4×C107C2211yescharacteristic, complemented
188#376×C107C2211yescharacteristic, complemented
189C25×C107C2311yescharacteristic
190C22×Q8×C107C2311yescharacteristic
191C22×Q8×C107C2311yescharacteristic
192C22×Q8×C107C2311yescharacteristic
193C22×Q8×C107C2311yescharacteristic
194C22×D4×C107C2311yescharacteristic
195C22×D4×C107C2311yescharacteristic
196C22×D4×C107C2311yescharacteristic
197C22×D4×C107C2311yescharacteristic
198C22×D4×C107C2311yescharacteristic
199C22×D4×C107C2311yescharacteristic
200C22×D4×C107C2311yescharacteristic
201C22×D4×C107C2311yescharacteristic
202C22×D4×C107C2311yescharacteristic
203C22×D4×C107C2311yescharacteristic
204C22×D4×C107C2311yescharacteristic
205C22×D4×C107C2311yescharacteristic
206C23×C4×C107C2311yescharacteristic
207C23×C4×C107C2311yescharacteristic
208C23×C4×C107C2311yescharacteristic
209C23×C4×C107C2311yescharacteristic
210C23×C4×C107C2311yescharacteristic
211C23×C4×C107C2311yescharacteristic
212C23×C4×C107C2311yescharacteristic
213C4⋊Q8×C107—24no—
214#126×C107—24no—
215#126×C107—24no—
216#126×C107—24no—
217#126×C107—24no—
218#124×C107—24no—
219#124×C107—24no—
220#124×C107—24no—
221#124×C107—24no—
222#124×C107—24no—
223#124×C107—42no—
224#123×C107—24no—
225#123×C107—24no—
226#123×C107—24no—
227#123×C107—24no—
228C22⋊Q8×C107—24no—
229C22⋊Q8×C107—24no—
230C22⋊Q8×C107—24no—
231C22⋊Q8×C107—24no—
232C22⋊Q8×C107—42no—
233#121×C107—24no—
234#121×C107—24no—
235#121×C107—24no—
236#121×C107—24no—
237#121×C107—42no—
238#120×C107—24no—
239#120×C107—24no—
240#120×C107—42no—
241C4×Q8×C107—24no—
242C4×D4×C107—24no—
243C4×D4×C107D418yescomplemented
244#117×C107—24no—
245#117×C107—42no—
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×C22⋊C4×C107—24no—
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×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×C22⋊C4×C107C2311yescharacteristic
316C2×C22⋊C4×C107C2311yescharacteristic
317C2×C22⋊C4×C107C2311yescharacteristic
318C2×C22⋊C4×C107C2311yescharacteristic
319C2×C22⋊C4×C107C2311yescharacteristic
320C2×C22⋊C4×C107C2311yescharacteristic
321C2×C22⋊C4×C107C2311yescharacteristic
322C2×C22⋊C4×C107C2311yescharacteristic
323C2×C22⋊C4×C107C2311yescharacteristic
324C2×C22⋊C4×C107C2311yescharacteristic
325C2×C22⋊C4×C107C2311yescharacteristic
326C2×C22⋊C4×C107C2311yescharacteristic
327C2×C22⋊C4×C107C2311yescharacteristic
328C2×C22⋊C4×C107C2311yescharacteristic
329C2×C22⋊C4×C107C2311yescharacteristic
330C2×C22⋊C4×C107C2311yescharacteristic
331C2×C42×C107—42no—
332C2×C42×C107C2311yescharacteristic
333C2×C42×C107C2311yescharacteristic
334C2×C42×C107C2311yescharacteristic
335C2×C42×C107C2311yescharacteristic
336C2×C42×C107C2311yescharacteristic
337C2×C42×C107C2311yescharacteristic
338C2×C42×C107C2311yescharacteristic
339C2×C42×C107C2311yescharacteristic
340C2×C42×C107C2311yescharacteristic
341C2×C42×C107C2311yescharacteristic
342C2×C42×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×C107—22no—
380C24×C107—41no—
381C24×C107—41no—
382C24×C107—41no—
383C24×C107—41no—
384C24×C107—41no—
385C24×C107—41no—
386C24×C107C2411yescharacteristic
387C24×C107C2411yescharacteristic
388C24×C107C2411yescharacteristic
389C24×C107C2411yescharacteristic
390C24×C107C2411yescharacteristic
391C24×C107C2411yescharacteristic
392C2×Q8×C107—22no—
393C2×Q8×C107—22no—
394C2×Q8×C107—22no—
395C2×Q8×C107—22no—
396C2×Q8×C107—41no—
397C2×Q8×C107—41no—
398C2×Q8×C107—41no—
399C2×Q8×C107—41no—
400C2×Q8×C107—41no—
401C2×Q8×C107—41no—
402C2×Q8×C107—41no—
403C2×Q8×C107—41no—
404C2×D4×C107—22no—
405C2×D4×C107—22no—
406C2×D4×C107—22no—
407C2×D4×C107—22no—
408C2×D4×C107—22no—
409C2×D4×C107—22no—
410C2×D4×C107—22no—
411C2×D4×C107—22no—
412C2×D4×C107—22no—
413C2×D4×C107—41no—
414C2×D4×C107—41no—
415C2×D4×C107—41no—
416C2×D4×C107—41no—
417C2×D4×C107—41no—
418C2×D4×C107—41no—
419C2×D4×C107—41no—
420C2×D4×C107—41no—
421C2×D4×C107—41no—
422C2×D4×C107—41no—
423C2×D4×C107—41no—
424C2×D4×C107—41no—
425C2×D4×C107—41no—
426C2×D4×C107—41no—
427C2×D4×C107—41no—
428C2×D4×C107—41no—
429C2×D4×C107—41no—
430C2×D4×C107—41no—
431C2×D4×C107—41no—
432C2×D4×C107—41no—
433C2×D4×C107—41no—
434C2×D4×C107—41no—
435C2×D4×C107—41no—
436C2×D4×C107—41no—
437C2×D4×C107—41no—
438C2×D4×C107—41no—
439C2×D4×C107C2×D414yes—
440C22×C4×C107—22no—
441C22×C4×C107—22no—
442C22×C4×C107—22no—
443C22×C4×C107—22no—
444C22×C4×C107—41no—
445C22×C4×C107—41no—
446C22×C4×C107—41no—
447C22×C4×C107—41no—
448C22×C4×C107—41no—
449C22×C4×C107—41no—
450C22×C4×C107—41no—
451C22×C4×C107—41no—
452C22×C4×C107—41no—
453C22×C4×C107—41no—
454C22×C4×C107—41no—
455C22×C4×C107—41no—
456C22×C4×C107—41no—
457C22×C4×C107—41no—
458C22×C4×C107—41no—
459C22×C4×C107C2×D414yes—
460C22×C4×C107C2×D414yes—
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
477C22×C4×C107C2411yescharacteristic
478C22×C4×C107C2411yescharacteristic
479C22×C4×C107C2411yescharacteristic
480C22×C4×C107C2411yescharacteristic
481C22×C4×C107C2411yescharacteristic
482C22×C4×C107C2411yescharacteristic
483C22×C4×C107C2411yescharacteristic
484C22×C4×C107C2411yescharacteristic
485C22×C4×C107C2411yescharacteristic
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—41no—
503C4⋊C4×C107—41no—
504C4⋊C4×C107—41no—
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×C107C2×D414yes—
514C22⋊C4×C107—22no—
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—22no—
537C22⋊C4×C107—22no—
538C22⋊C4×C107—22no—
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×C107—41no—
548C22⋊C4×C107—41no—
549C22⋊C4×C107—41no—
550C22⋊C4×C107—41no—
551C22⋊C4×C107—41no—
552C22⋊C4×C107—41no—
553C22⋊C4×C107—41no—
554C22⋊C4×C107—41no—
555C22⋊C4×C107—41no—
556C22⋊C4×C107—41no—
557C22⋊C4×C107—41no—
558C22⋊C4×C107—41no—
559C22⋊C4×C107—41no—
560C22⋊C4×C107—41no—
561C22⋊C4×C107—41no—
562C22⋊C4×C107—41no—
563C22⋊C4×C107—41no—
564C22⋊C4×C107—41no—
565C22⋊C4×C107—41no—
566C22⋊C4×C107—41no—
567C22⋊C4×C107—41no—
568C22⋊C4×C107C2×D414yes—
569C22⋊C4×C107C2×D414yes—
570C42×C107—22no—
571C42×C107—22no—
572C42×C107—22no—
573C42×C107—22no—
574C42×C107—22no—
575C42×C107—22no—
576C42×C107—41no—
577C42×C107—41no—
578C42×C107—41no—
579C42×C107—41no—
580C42×C107C2×D414yes—
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×C107—21no—
593C23×C107—21no—
594C23×C107—21no—
595C23×C107—21no—
596C23×C107—21no—
597C23×C107—21no—
598C23×C107—21no—
599C23×C107—21no—
600C23×C107—21no—
601C23×C107—21no—
602C23×C107—21no—
603C23×C107—21no—
604C23×C107—21no—
605C23×C107—21no—
606C23×C107—21no—
607C23×C107—21no—
608C23×C107—21no—
609C23×C107—21no—
610C23×C107—21no—
611C23×C107—21no—
612C23×C107—21no—
613C23×C107—21no—
614C23×C107—21no—
615C23×C107—21no—
616C23×C107—21no—
617C23×C107—21no—
618C23×C107—21no—
619C23×C107—21no—
620C23×C107—21no—
621C23×C107—44no—
622C23×C107—82no—
623C23×C107—82no—
624C23×C107—82no—
625C23×C107—82no—
626C23×C107—82no—
627C23×C107—82no—
628C23×C107C22×D412yes—
629C23×C107C22×D412yes—
630C23×C107C2511yescharacteristic
631Q8×C107—44no—
632Q8×C107—82no—
633Q8×C107—82no—
634Q8×C107—82no—
635D4×C107—44no—
636D4×C107—44no—
637D4×C107—82no—
638D4×C107—82no—
639D4×C107—82no—
640D4×C107—82no—
641D4×C107—82no—
642D4×C107—82no—
643D4×C107—82no—
644D4×C107—82no—
645D4×C107—82no—
646D4×C107—82no—
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—21no—
675C2×C4×C107—21no—
676C2×C4×C107—21no—
677C2×C4×C107—21no—
678C2×C4×C107—21no—
679C2×C4×C107—21no—
680C2×C4×C107—21no—
681C2×C4×C107—21no—
682C2×C4×C107—21no—
683C2×C4×C107—21no—
684C2×C4×C107—21no—
685C2×C4×C107—21no—
686C2×C4×C107—21no—
687C2×C4×C107—21no—
688C2×C4×C107—21no—
689C2×C4×C107—21no—
690C2×C4×C107—21no—
691C2×C4×C107—21no—
692C2×C4×C107—21no—
693C2×C4×C107—21no—
694C2×C4×C107—21no—
695C2×C4×C107—21no—
696C2×C4×C107—21no—
697C2×C4×C107—21no—
698C2×C4×C107—21no—
699C2×C4×C107—21no—
700C2×C4×C107—21no—
701C2×C4×C107—21no—
702C2×C4×C107—21no—
703C2×C4×C107—21no—
704C2×C4×C107—21no—
705C2×C4×C107—21no—
706C2×C4×C107—21no—
707C2×C4×C107—21no—
708C2×C4×C107—21no—
709C2×C4×C107—21no—
710C2×C4×C107—21no—
711C2×C4×C107—21no—
712C2×C4×C107—21no—
713C2×C4×C107—21no—
714C2×C4×C107—21no—
715C2×C4×C107—21no—
716C2×C4×C107—44no—
717C2×C4×C107—44no—
718C2×C4×C107—44no—
719C2×C4×C107—44no—
720C2×C4×C107—44no—
721C2×C4×C107—82no—
722C2×C4×C107—82no—
723C2×C4×C107C22×D412yes—
724C2×C4×C107C22×D412yes—
725C2×C4×C107C22×D412yes—
726C2×C4×C107C22×D412yes—
727C2×C4×C107C22×D412yes—
728C2×C4×C107H(5,𝔽2)12yes—
729C22×C107—22no—
730C22×C107—22no—
731C22×C107—22no—
732C22×C107—22no—
733C22×C107—22no—
734C22×C107—22no—
735C22×C107—41no—
736C22×C107—41no—
737C22×C107—41no—
738C22×C107—41no—
739C22×C107—41no—
740C22×C107—41no—
741C22×C107—41no—
742C22×C107—41no—
743C22×C107—41no—
744C22×C107—41no—
745C22×C107—41no—
746C22×C107—41no—
747C22×C107—41no—
748C22×C107—41no—
749C22×C107—41no—
750C22×C107—41no—
751C22×C107—41no—
752C22×C107—41no—
753C22×C107—41no—
754C22×C107—41no—
755C22×C107—41no—
756C22×C107—41no—
757C22×C107—41no—
758C22×C107—41no—
759C22×C107—41no—
760C22×C107—41no—
761C22×C107—41no—
762C22×C107—41no—
763C22×C107—41no—
764C22×C107—41no—
765C22×C107—41no—
766C22×C107—41no—
767C22×C107—41no—
768C22×C107—41no—
769C22×C107—41no—
770C22×C107—41no—
771C22×C107—88no—
772C22×C107C23×D411yescharacteristic
773C22×C107C2×H(5,𝔽2)11yescharacteristic
774C22×C107#58511yescharacteristic
775C22×C107#58511yescharacteristic
776C22×C107#58511yescharacteristic
777C22×C107#58511yescharacteristic
778C22×C107#58511yescharacteristic
779C4×C107—22no—
780C4×C107—22no—
781C4×C107—22no—
782C4×C107—22no—
783C4×C107—22no—
784C4×C107—22no—
785C4×C107—41no—
786C4×C107—41no—
787C4×C107—41no—
788C4×C107—41no—
789C4×C107—41no—
790C4×C107—41no—
791C4×C107—41no—
792C4×C107—41no—
793C4×C107—41no—
794C4×C107—41no—
795C4×C107—41no—
796C4×C107—41no—
797C4×C107—41no—
798C4×C107—41no—
799C4×C107—41no—
800C4×C107—41no—
801C4×C107—41no—
802C4×C107—41no—
803C4×C107—41no—
804#36745C10711yesmaximal, characteristic, direct product factor, Sylow
805C2×C107—42no—
806C2×C107—42no—
807C2×C107—81no—
808C2×C107—81no—
809C2×C107—81no—
810C2×C107—81no—
811C2×C107#344911yescharacteristic
812C2×C107#349611yescharacteristic
813C2×C107#350011yescharacteristic
814C2×C107#353311yescharacteristic
815C2×C107#354011yescharacteristic
816C2×C107#356611yescharacteristic
817C2×C107#356811yescharacteristic
818C2×#542C2×C10711yescharacteristic, complemented
819C2×#538C2×C10711yescharacteristic, complemented
820#2854C2×C10711yescharacteristic, complemented
821#2850C2×C10711yescharacteristic, complemented
822#2723C2×C10711yescharacteristic, complemented
823#2716C2×C10711yescharacteristic, complemented
824#2715C2×C10711yescharacteristic, complemented
825#2712C2×C10711yescharacteristic, complemented
826#2700C2×C10711yescharacteristic, complemented
827#2698C2×C10711yescharacteristic, complemented
828#2696C2×C10711yescharacteristic, complemented
829#2691C2×C10711yescharacteristic, complemented
830#2688C2×C10711yescharacteristic, complemented
831#2686C2×C10711yescharacteristic, complemented
832#2685C2×C10711yescharacteristic, complemented
833#2684C2×C10711yescharacteristic, complemented
834#2676C2×C10711yescharacteristic, complemented
835#2674C2×C10711yescharacteristic, complemented
836#2670C2×C10711yescharacteristic, complemented
837#2668C2×C10711yescharacteristic, complemented
838#2663C2×C10711yescharacteristic, complemented
839#2661C2×C10711yescharacteristic, complemented
840#2610C2×C10711yescharacteristic, complemented
841#2604C2×C10711yescharacteristic, complemented
842#2602C2×C10711yescharacteristic, complemented
843#2601C2×C10711yescharacteristic, complemented
844#2592C2×C10711yescharacteristic, complemented
845#2561C2×C10711yescharacteristic, complemented
846#2415C2×C10711yescharacteristic, complemented
847#2411C2×C10711yescharacteristic, complemented
848#2290C2×C10711yescharacteristic, complemented
849C107#3674511yescharacteristic, direct product factor, Sylow
850#542—28no—
851#538—28no—
852C2×C4⋊Q8C22×C10711yescharacteristic, complemented
853C2×#126C22×C10711yescharacteristic
854C2×#126C22×C10711yescharacteristic
855C2×#126C22×C10711yescharacteristic
856C2×#126C22×C10711yescharacteristic, complemented
857C2×#124C22×C10711yescharacteristic
858C2×#124C22×C10711yescharacteristic
859C2×#124C22×C10711yescharacteristic
860C2×#124C22×C10711yescharacteristic
861C2×#124C22×C10711yescharacteristic
862C2×#124C22×C10711yescharacteristic, complemented
863C2×#123C22×C10711yescharacteristic
864C2×#123C22×C10711yescharacteristic
865C2×#123C22×C10711yescharacteristic
866C2×#123C22×C10711yescharacteristic, complemented
867C2×C22⋊Q8C22×C10711yescharacteristic
868C2×C22⋊Q8C22×C10711yescharacteristic
869C2×C22⋊Q8C22×C10711yescharacteristic, complemented
870C2×C22⋊Q8C22×C10711yescharacteristic, complemented
871C2×C22⋊Q8C22×C10711yescharacteristic, complemented
872C2×#121C22×C10711yescharacteristic
873C2×#121C22×C10711yescharacteristic
874C2×#121C22×C10711yescharacteristic
875C2×#121C22×C10711yescharacteristic
876C2×#121C22×C10711yescharacteristic
877C2×#120C22×C10711yescharacteristic
878C2×#120C22×C10711yescharacteristic
879C2×#120C22×C10711yescharacteristic
880C2×C4×Q8C22×C10711yescharacteristic, complemented
881C2×C4×D4C22×C10711yescharacteristic
882C2×C4×D4C22×C10711yescharacteristic
883C2×#117C22×C10711yescharacteristic
884C2×#117C22×C10711yescharacteristic, complemented
885C22×C22⋊C4C22×C10711yescharacteristic
886C22×C42C22×C10711yescharacteristic, complemented
887#400C22×C10711yescharacteristic, complemented
888#400C22×C10711yescharacteristic, complemented
889#399C22×C10711yescharacteristic
890#399C22×C10711yescharacteristic
891#398C22×C10711yescharacteristic, complemented
892#398C22×C10711yescharacteristic, complemented
893#397C22×C10711yescharacteristic
894#397C22×C10711yescharacteristic
895#397C22×C10711yescharacteristic
896#397C22×C10711yescharacteristic
897#397C22×C10711yescharacteristic
898#397C22×C10711yescharacteristic
899#397C22×C10711yescharacteristic, complemented
900#397C22×C10711yescharacteristic, complemented
901#397C22×C10711yescharacteristic, complemented
902#397C22×C10711yescharacteristic, complemented
903#396C22×C10711yescharacteristic
904#396C22×C10711yescharacteristic
905#396C22×C10711yescharacteristic
906#396C22×C10711yescharacteristic, complemented
907#395C22×C10711yescharacteristic, complemented
908#395C22×C10711yescharacteristic, complemented
909#395C22×C10711yescharacteristic, complemented
910#394C22×C10711yescharacteristic
911#394C22×C10711yescharacteristic
912#394C22×C10711yescharacteristic
913#394C22×C10711yescharacteristic
914#394C22×C10711yescharacteristic
915#394C22×C10711yescharacteristic
916#394C22×C10711yescharacteristic
917#394C22×C10711yescharacteristic
918#394C22×C10711yescharacteristic
919#394C22×C10711yescharacteristic
920#394C22×C10711yescharacteristic
921#394C22×C10711yescharacteristic
922#394C22×C10711yescharacteristic, complemented
923#393C22×C10711yescharacteristic
924#393C22×C10711yescharacteristic
925#393C22×C10711yescharacteristic
926#393C22×C10711yescharacteristic
927#393C22×C10711yescharacteristic
928#393C22×C10711yescharacteristic, complemented
929#393C22×C10711yescharacteristic, complemented
930#392C22×C10711yescharacteristic
931#392C22×C10711yescharacteristic
932#392C22×C10711yescharacteristic
933#392C22×C10711yescharacteristic
934#392C22×C10711yescharacteristic, complemented
935#391C22×C10711yescharacteristic, complemented
936#391C22×C10711yescharacteristic, complemented
937#391C22×C10711yescharacteristic, complemented
938#391C22×C10711yescharacteristic, complemented
939#390C22×C10711yescharacteristic
940#390C22×C10711yescharacteristic
941#390C22×C10711yescharacteristic
942#390C22×C10711yescharacteristic
943#390C22×C10711yescharacteristic
944#390C22×C10711yescharacteristic
945#390C22×C10711yescharacteristic, complemented
946#389C22×C10711yescharacteristic, complemented
947#389C22×C10711yescharacteristic, complemented
948#389C22×C10711yescharacteristic, complemented
949#389C22×C10711yescharacteristic, complemented
950#389C22×C10711yescharacteristic, complemented
951#388C22×C10711yescharacteristic
952#388C22×C10711yescharacteristic
953#388C22×C10711yescharacteristic
954#388C22×C10711yescharacteristic
955#388C22×C10711yescharacteristic
956#388C22×C10711yescharacteristic
957#388C22×C10711yescharacteristic
958#388C22×C10711yescharacteristic
959#388C22×C10711yescharacteristic
960#388C22×C10711yescharacteristic
961#388C22×C10711yescharacteristic
962#388C22×C10711yescharacteristic
963#388C22×C10711yescharacteristic
964#388C22×C10711yescharacteristic, complemented
965#388C22×C10711yescharacteristic, complemented
966#388C22×C10711yescharacteristic, complemented
967#388C22×C10711yescharacteristic, complemented
968#388C22×C10711yescharacteristic, complemented
969#388C22×C10711yescharacteristic, complemented
970#388C22×C10711yescharacteristic, complemented
971#387C22×C10711yescharacteristic, complemented
972#387C22×C10711yescharacteristic, complemented
973#387C22×C10711yescharacteristic, complemented
974#387C22×C10711yescharacteristic, complemented
975#387C22×C10711yescharacteristic, complemented
976#387C22×C10711yescharacteristic, complemented
977#386C22×C10711yescharacteristic
978#386C22×C10711yescharacteristic
979#386C22×C10711yescharacteristic
980#386C22×C10711yescharacteristic
981#386C22×C10711yescharacteristic
982#386C22×C10711yescharacteristic
983#386C22×C10711yescharacteristic
984#386C22×C10711yescharacteristic
985#386C22×C10711yescharacteristic, complemented
986#386C22×C10711yescharacteristic, complemented
987#386C22×C10711yescharacteristic, complemented
988#386C22×C10711yescharacteristic, complemented
989#386C22×C10711yescharacteristic, complemented
990#385C22×C10711yescharacteristic
991#385C22×C10711yescharacteristic, complemented
992#385C22×C10711yescharacteristic, complemented
993#385C22×C10711yescharacteristic, complemented
994#385C22×C10711yescharacteristic, complemented
995#382C22×C10711yescharacteristic, complemented
996#381C22×C10711yescharacteristic
997#381C22×C10711yescharacteristic
998#380C22×C10711yescharacteristic, complemented
999#380C22×C10711yescharacteristic, complemented
1000#379C22×C10711yescharacteristic
1001#379C22×C10711yescharacteristic
1002#379C22×C10711yescharacteristic
1003C4×C4⋊C4C22×C10711yescharacteristic, complemented
1004C4×C22⋊C4C22×C10711yescharacteristic
1005C4×C22⋊C4C22×C10711yescharacteristic, complemented
1006#376C22×C10711yescharacteristic, complemented
1007C25C23×C10711yescharacteristic
1008C22×Q8C23×C10711yescharacteristic
1009C22×Q8C23×C10711yescharacteristic
1010C22×Q8C23×C10711yescharacteristic
1011C22×Q8C23×C10711yescharacteristic
1012C22×D4C23×C10711yescharacteristic
1013C22×D4C23×C10711yescharacteristic
1014C22×D4C23×C10711yescharacteristic
1015C22×D4C23×C10711yescharacteristic
1016C22×D4C23×C10711yescharacteristic
1017C22×D4C23×C10711yescharacteristic
1018C22×D4C23×C10711yescharacteristic
1019C22×D4C23×C10711yescharacteristic
1020C22×D4C23×C10711yescharacteristic
1021C22×D4C23×C10711yescharacteristic
1022C22×D4C23×C10711yescharacteristic
1023C22×D4C23×C10711yescharacteristic
1024C23×C4C23×C10711yescharacteristic
1025C23×C4C23×C10711yescharacteristic
1026C23×C4C23×C10711yescharacteristic
1027C23×C4C23×C10711yescharacteristic
1028C23×C4C23×C10711yescharacteristic
1029C23×C4C23×C10711yescharacteristic
1030C23×C4C23×C10711yescharacteristic
1031C4⋊Q8—24no—
1032#126—24no—
1033#126—24no—
1034#126—24no—
1035#126—24no—
1036#124—24no—
1037#124—24no—
1038#124—24no—
1039#124—24no—
1040#124—24no—
1041#124—42no—
1042#123—24no—
1043#123—24no—
1044#123—24no—
1045#123—24no—
1046C22⋊Q8—24no—
1047C22⋊Q8—24no—
1048C22⋊Q8—24no—
1049C22⋊Q8—24no—
1050C22⋊Q8—42no—
1051#121—24no—
1052#121—24no—
1053#121—24no—
1054#121—24no—
1055#121—42no—
1056#120—24no—
1057#120—24no—
1058#120—42no—
1059C4×Q8—24no—
1060C4×D4—24no—
1061C4×D4D4×C10718yescomplemented
1062#117—24no—
1063#117—42no—
1064C2×C4⋊C4C23×C10711yescharacteristic
1065C2×C4⋊C4C23×C10711yescharacteristic
1066C2×C4⋊C4C23×C10711yescharacteristic
1067C2×C4⋊C4C23×C10711yescharacteristic
1068C2×C4⋊C4C23×C10711yescharacteristic
1069C2×C4⋊C4C23×C10711yescharacteristic
1070C2×C4⋊C4C23×C10711yescharacteristic
1071C2×C4⋊C4C23×C10711yescharacteristic
1072C2×C4⋊C4C23×C10711yescharacteristic
1073C2×C4⋊C4C23×C10711yescharacteristic
1074C2×C4⋊C4C23×C10711yescharacteristic
1075C2×C4⋊C4C23×C10711yescharacteristic
1076C2×C4⋊C4C23×C10711yescharacteristic
1077C2×C4⋊C4C23×C10711yescharacteristic
1078C2×C4⋊C4C23×C10711yescharacteristic
1079C2×C4⋊C4C23×C10711yescharacteristic
1080C2×C4⋊C4C23×C10711yescharacteristic
1081C2×C4⋊C4C23×C10711yescharacteristic
1082C2×C4⋊C4C23×C10711yescharacteristic
1083C2×C4⋊C4C23×C10711yescharacteristic
1084C2×C4⋊C4C23×C10711yescharacteristic
1085C2×C4⋊C4C23×C10711yescharacteristic
1086C2×C4⋊C4C23×C10711yescharacteristic
1087C2×C4⋊C4C23×C10711yescharacteristic
1088C2×C4⋊C4C23×C10711yescharacteristic
1089C2×C4⋊C4C23×C10711yescharacteristic
1090C2×C4⋊C4C23×C10711yescharacteristic
1091C2×C4⋊C4C23×C10711yescharacteristic
1092C2×C22⋊C4—24no—
1093C2×C22⋊C4C23×C10711yescharacteristic
1094C2×C22⋊C4C23×C10711yescharacteristic
1095C2×C22⋊C4C23×C10711yescharacteristic
1096C2×C22⋊C4C23×C10711yescharacteristic
1097C2×C22⋊C4C23×C10711yescharacteristic
1098C2×C22⋊C4C23×C10711yescharacteristic
1099C2×C22⋊C4C23×C10711yescharacteristic
1100C2×C22⋊C4C23×C10711yescharacteristic
1101C2×C22⋊C4C23×C10711yescharacteristic
1102C2×C22⋊C4C23×C10711yescharacteristic
1103C2×C22⋊C4C23×C10711yescharacteristic
1104C2×C22⋊C4C23×C10711yescharacteristic
1105C2×C22⋊C4C23×C10711yescharacteristic
1106C2×C22⋊C4C23×C10711yescharacteristic
1107C2×C22⋊C4C23×C10711yescharacteristic
1108C2×C22⋊C4C23×C10711yescharacteristic
1109C2×C22⋊C4C23×C10711yescharacteristic
1110C2×C22⋊C4C23×C10711yescharacteristic
1111C2×C22⋊C4C23×C10711yescharacteristic
1112C2×C22⋊C4C23×C10711yescharacteristic
1113C2×C22⋊C4C23×C10711yescharacteristic
1114C2×C22⋊C4C23×C10711yescharacteristic
1115C2×C22⋊C4C23×C10711yescharacteristic
1116C2×C22⋊C4C23×C10711yescharacteristic
1117C2×C22⋊C4C23×C10711yescharacteristic
1118C2×C22⋊C4C23×C10711yescharacteristic
1119C2×C22⋊C4C23×C10711yescharacteristic
1120C2×C22⋊C4C23×C10711yescharacteristic
1121C2×C22⋊C4C23×C10711yescharacteristic
1122C2×C22⋊C4C23×C10711yescharacteristic
1123C2×C22⋊C4C23×C10711yescharacteristic
1124C2×C22⋊C4C23×C10711yescharacteristic
1125C2×C22⋊C4C23×C10711yescharacteristic
1126C2×C22⋊C4C23×C10711yescharacteristic
1127C2×C22⋊C4C23×C10711yescharacteristic
1128C2×C22⋊C4C23×C10711yescharacteristic
1129C2×C22⋊C4C23×C10711yescharacteristic
1130C2×C22⋊C4C23×C10711yescharacteristic
1131C2×C22⋊C4C23×C10711yescharacteristic
1132C2×C22⋊C4C23×C10711yescharacteristic
1133C2×C22⋊C4C23×C10711yescharacteristic
1134C2×C22⋊C4C23×C10711yescharacteristic
1135C2×C22⋊C4C23×C10711yescharacteristic
1136C2×C22⋊C4C23×C10711yescharacteristic
1137C2×C22⋊C4C23×C10711yescharacteristic
1138C2×C22⋊C4C23×C10711yescharacteristic
1139C2×C22⋊C4C23×C10711yescharacteristic
1140C2×C22⋊C4C23×C10711yescharacteristic
1141C2×C22⋊C4C23×C10711yescharacteristic
1142C2×C22⋊C4C23×C10711yescharacteristic
1143C2×C22⋊C4C23×C10711yescharacteristic
1144C2×C22⋊C4C23×C10711yescharacteristic
1145C2×C22⋊C4C23×C10711yescharacteristic
1146C2×C22⋊C4C23×C10711yescharacteristic
1147C2×C22⋊C4C23×C10711yescharacteristic
1148C2×C22⋊C4C23×C10711yescharacteristic
1149C2×C42—42no—
1150C2×C42C23×C10711yescharacteristic
1151C2×C42C23×C10711yescharacteristic
1152C2×C42C23×C10711yescharacteristic
1153C2×C42C23×C10711yescharacteristic
1154C2×C42C23×C10711yescharacteristic
1155C2×C42C23×C10711yescharacteristic
1156C2×C42C23×C10711yescharacteristic
1157C2×C42C23×C10711yescharacteristic
1158C2×C42C23×C10711yescharacteristic
1159C2×C42C23×C10711yescharacteristic
1160C2×C42C23×C10711yescharacteristic
1161#95C23×C10711yescharacteristic
1162#95C23×C10711yescharacteristic
1163#95C23×C10711yescharacteristic
1164#95C23×C10711yescharacteristic
1165#95C23×C10711yescharacteristic
1166#95C23×C10711yescharacteristic
1167#95C23×C10711yescharacteristic
1168#95C23×C10711yescharacteristic
1169#95C23×C10711yescharacteristic
1170#95C23×C10711yescharacteristic
1171#95C23×C10711yescharacteristic
1172#95C23×C10711yescharacteristic
1173#95C23×C10711yescharacteristic
1174#95C23×C10711yescharacteristic
1175#95C23×C10711yescharacteristic
1176#95C23×C10711yescharacteristic
1177#95C23×C10711yescharacteristic
1178#95C23×C10711yescharacteristic
1179#95C23×C10711yescharacteristic
1180#95C23×C10711yescharacteristic
1181#95C23×C10711yescharacteristic
1182#95C23×C10711yescharacteristic
1183#95C23×C10711yescharacteristic
1184#95C23×C10711yescharacteristic
1185#95C23×C10711yescharacteristic
1186#95C23×C10711yescharacteristic
1187#95C23×C10711yescharacteristic
1188#95C23×C10711yescharacteristic
1189#95C23×C10711yescharacteristic
1190#95C23×C10711yescharacteristic
1191#95C23×C10711yescharacteristic
1192#95C23×C10711yescharacteristic
1193#95C23×C10711yescharacteristic
1194#95C23×C10711yescharacteristic
1195#95C23×C10711yescharacteristic
1196#95C23×C10711yescharacteristic
1197C24—22no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—41no—
1204C24C24×C10711yescharacteristic
1205C24C24×C10711yescharacteristic
1206C24C24×C10711yescharacteristic
1207C24C24×C10711yescharacteristic
1208C24C24×C10711yescharacteristic
1209C24C24×C10711yescharacteristic
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—41no—
1215C2×Q8—41no—
1216C2×Q8—41no—
1217C2×Q8—41no—
1218C2×Q8—41no—
1219C2×Q8—41no—
1220C2×Q8—41no—
1221C2×Q8—41no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4C2×D4×C10714yes—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4C2×D4×C10714yes—
1278C22×C4C2×D4×C10714yes—
1279C22×C4C24×C10711yescharacteristic
1280C22×C4C24×C10711yescharacteristic
1281C22×C4C24×C10711yescharacteristic
1282C22×C4C24×C10711yescharacteristic
1283C22×C4C24×C10711yescharacteristic
1284C22×C4C24×C10711yescharacteristic
1285C22×C4C24×C10711yescharacteristic
1286C22×C4C24×C10711yescharacteristic
1287C22×C4C24×C10711yescharacteristic
1288C22×C4C24×C10711yescharacteristic
1289C22×C4C24×C10711yescharacteristic
1290C22×C4C24×C10711yescharacteristic
1291C22×C4C24×C10711yescharacteristic
1292C22×C4C24×C10711yescharacteristic
1293C22×C4C24×C10711yescharacteristic
1294C22×C4C24×C10711yescharacteristic
1295C22×C4C24×C10711yescharacteristic
1296C22×C4C24×C10711yescharacteristic
1297C22×C4C24×C10711yescharacteristic
1298C22×C4C24×C10711yescharacteristic
1299C22×C4C24×C10711yescharacteristic
1300C22×C4C24×C10711yescharacteristic
1301C22×C4C24×C10711yescharacteristic
1302C22×C4C24×C10711yescharacteristic
1303C22×C4C24×C10711yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4C2×D4×C10714yes—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4C2×D4×C10714yes—
1387C22⋊C4C2×D4×C10714yes—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—41no—
1395C42—41no—
1396C42—41no—
1397C42—41no—
1398C42C2×D4×C10714yes—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—44no—
1440C23—82no—
1441C23—82no—
1442C23—82no—
1443C23—82no—
1444C23—82no—
1445C23—82no—
1446C23C22×D4×C10712yes—
1447C23C22×D4×C10712yes—
1448C23C25×C10711yescharacteristic
1449Q8—44no—
1450Q8—82no—
1451Q8—82no—
1452Q8—82no—
1453D4—44no—
1454D4—44no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—82no—
1460D4—82no—
1461D4—82no—
1462D4—82no—
1463D4—82no—
1464D4—82no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—82no—
1540C2×C4—82no—
1541C2×C4C22×D4×C10712yes—
1542C2×C4C22×D4×C10712yes—
1543C2×C4C22×D4×C10712yes—
1544C2×C4C22×D4×C10712yes—
1545C2×C4C22×D4×C10712yes—
1546C2×C4H(5,𝔽2)×C10712yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—88no—
1590C22C23×D4×C10711yescharacteristic
1591C22C2×H(5,𝔽2)×C10711yescharacteristic
1592C22#585×C10711yescharacteristic
1593C22#585×C10711yescharacteristic
1594C22#585×C10711yescharacteristic
1595C22#585×C10711yescharacteristic
1596C22#585×C10711yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C2—42no—
1623C2—42no—
1624C2—81no—
1625C2—81no—
1626C2—81no—
1627C2—81no—
1628C2C107×#344911yescharacteristic
1629C2C107×#349611yescharacteristic
1630C2C107×#350011yescharacteristic
1631C2C107×#353311yescharacteristic
1632C2C107×#354011yescharacteristic
1633C2C107×#356611yescharacteristic
1634C2C107×#356811yescharacteristic
subgroupG/H
center, socleC23×C107C25
commutator, Frattini, cosocleC23C25×C107
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#542×C107C2semidirect
2. C2×#538×C107C2semidirect
3. C107×#2854C2semidirect
4. C107×#2850C2semidirect
5. C107×#2723C2semidirect
6. C107×#2716C2semidirect
7. C107×#2715C2semidirect
8. C107×#2712C2semidirect
9. C107×#2700C2semidirect
10. C107×#2698C2semidirect
11. C107×#2696C2semidirect
12. C107×#2691C2semidirect
13. C107×#2688C2semidirect
14. C107×#2686C2semidirect
15. C107×#2685C2semidirect
16. C107×#2684C2semidirect
17. C107×#2676C2semidirect
18. C107×#2674C2semidirect
19. C107×#2670C2semidirect
20. C107×#2668C2semidirect
21. C107×#2663C2semidirect
22. C107×#2661C2semidirect
23. C107×#2610C2semidirect
24. C107×#2604C2semidirect
25. C107×#2602C2semidirect
26. C107×#2601C2semidirect
27. C107×#2592C2semidirect
28. C107×#2561C2semidirect
29. C107×#2415C2semidirect
30. C107×#2411C2semidirect
31. C107×#2290C2semidirect
34. C2×C4⋊Q8×C107C22semidirect
38. C2×#126×C107C22semidirect
44. C2×#124×C107C22semidirect
48. C2×#123×C107C22semidirect
51. C2×C22⋊Q8×C107C22semidirect
52. C2×C22⋊Q8×C107C22semidirect
53. C2×C22⋊Q8×C107C22semidirect
62. C2×C4×Q8×C107C22semidirect
66. C2×#117×C107C22semidirect
68. C22×C42×C107C22semidirect
69. #400×C107C22semidirect
70. #400×C107C22semidirect
73. #398×C107C22semidirect
74. #398×C107C22semidirect
81. #397×C107C22semidirect
82. #397×C107C22semidirect
83. #397×C107C22semidirect
84. #397×C107C22semidirect
88. #396×C107C22semidirect
89. #395×C107C22semidirect
90. #395×C107C22semidirect
91. #395×C107C22semidirect
104. #394×C107C22semidirect
110. #393×C107C22semidirect
111. #393×C107C22semidirect
116. #392×C107C22semidirect
117. #391×C107C22semidirect
118. #391×C107C22semidirect
119. #391×C107C22semidirect
120. #391×C107C22semidirect
127. #390×C107C22semidirect
128. #389×C107C22semidirect
129. #389×C107C22semidirect
130. #389×C107C22semidirect
131. #389×C107C22semidirect
132. #389×C107C22semidirect
146. #388×C107C22semidirect
147. #388×C107C22semidirect
148. #388×C107C22semidirect
149. #388×C107C22semidirect
150. #388×C107C22semidirect
151. #388×C107C22semidirect
152. #388×C107C22semidirect
153. #387×C107C22semidirect
154. #387×C107C22semidirect
155. #387×C107C22semidirect
156. #387×C107C22semidirect
157. #387×C107C22semidirect
158. #387×C107C22semidirect
167. #386×C107C22semidirect
168. #386×C107C22semidirect
169. #386×C107C22semidirect
170. #386×C107C22semidirect
171. #386×C107C22semidirect
173. #385×C107C22semidirect
174. #385×C107C22semidirect
175. #385×C107C22semidirect
176. #385×C107C22semidirect
177. #382×C107C22semidirect
180. #380×C107C22semidirect
181. #380×C107C22semidirect
185. C4×C4⋊C4×C107C22semidirect
187. C4×C22⋊C4×C107C22semidirect
188. #376×C107C22semidirect
243. C4×D4×C107D4semidirect
804. #36745C107direct (N × H)
818. C2×#542C2×C107semidirect
819. C2×#538C2×C107semidirect
820. #2854C2×C107semidirect
821. #2850C2×C107semidirect
822. #2723C2×C107semidirect
823. #2716C2×C107semidirect
824. #2715C2×C107semidirect
825. #2712C2×C107semidirect
826. #2700C2×C107semidirect
827. #2698C2×C107semidirect
828. #2696C2×C107semidirect
829. #2691C2×C107semidirect
830. #2688C2×C107semidirect
831. #2686C2×C107semidirect
832. #2685C2×C107semidirect
833. #2684C2×C107semidirect
834. #2676C2×C107semidirect
835. #2674C2×C107semidirect
836. #2670C2×C107semidirect
837. #2668C2×C107semidirect
838. #2663C2×C107semidirect
839. #2661C2×C107semidirect
840. #2610C2×C107semidirect
841. #2604C2×C107semidirect
842. #2602C2×C107semidirect
843. #2601C2×C107semidirect
844. #2592C2×C107semidirect
845. #2561C2×C107semidirect
846. #2415C2×C107semidirect
847. #2411C2×C107semidirect
848. #2290C2×C107semidirect
849. C107#36745direct (N × H)
852. C2×C4⋊Q8C22×C107semidirect
856. C2×#126C22×C107semidirect
862. C2×#124C22×C107semidirect
866. C2×#123C22×C107semidirect
869. C2×C22⋊Q8C22×C107semidirect
870. C2×C22⋊Q8C22×C107semidirect
871. C2×C22⋊Q8C22×C107semidirect
880. C2×C4×Q8C22×C107semidirect
884. C2×#117C22×C107semidirect
886. C22×C42C22×C107semidirect
887. #400C22×C107semidirect
888. #400C22×C107semidirect
891. #398C22×C107semidirect
892. #398C22×C107semidirect
899. #397C22×C107semidirect
900. #397C22×C107semidirect
901. #397C22×C107semidirect
902. #397C22×C107semidirect
906. #396C22×C107semidirect
907. #395C22×C107semidirect
908. #395C22×C107semidirect
909. #395C22×C107semidirect
922. #394C22×C107semidirect
928. #393C22×C107semidirect
929. #393C22×C107semidirect
934. #392C22×C107semidirect
935. #391C22×C107semidirect
936. #391C22×C107semidirect
937. #391C22×C107semidirect
938. #391C22×C107semidirect
945. #390C22×C107semidirect
946. #389C22×C107semidirect
947. #389C22×C107semidirect
948. #389C22×C107semidirect
949. #389C22×C107semidirect
950. #389C22×C107semidirect
964. #388C22×C107semidirect
965. #388C22×C107semidirect
966. #388C22×C107semidirect
967. #388C22×C107semidirect
968. #388C22×C107semidirect
969. #388C22×C107semidirect
970. #388C22×C107semidirect
971. #387C22×C107semidirect
972. #387C22×C107semidirect
973. #387C22×C107semidirect
974. #387C22×C107semidirect
975. #387C22×C107semidirect
976. #387C22×C107semidirect
985. #386C22×C107semidirect
986. #386C22×C107semidirect
987. #386C22×C107semidirect
988. #386C22×C107semidirect
989. #386C22×C107semidirect
991. #385C22×C107semidirect
992. #385C22×C107semidirect
993. #385C22×C107semidirect
994. #385C22×C107semidirect
995. #382C22×C107semidirect
998. #380C22×C107semidirect
999. #380C22×C107semidirect
1003. C4×C4⋊C4C22×C107semidirect
1005. C4×C22⋊C4C22×C107semidirect
1006. #376C22×C107semidirect
1061. C4×D4D4×C107semidirect

Maximal subgroups

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

subgroupindex
C2×#542×C1072
C2×#538×C1072
C107×#28542
C107×#28502
C107×#27232
C107×#27162
C107×#27152
C107×#27122
C107×#27002
C107×#26982
C107×#26962
C107×#26912
C107×#26882
C107×#26862
C107×#26852
C107×#26842
C107×#26762
C107×#26742
C107×#26702
C107×#26682
C107×#26632
C107×#26612
C107×#26102
C107×#26042
C107×#26022
C107×#26012
C107×#25922
C107×#25612
C107×#24152
C107×#24112
C107×#22902
#36745107