Finite Group Databasebeta

← C107×#36795 #41062759

Subgroups — C107×#36795 #41062759

Order 27392.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#2852C211yesmaximal, characteristic, complemented
2C107×#2850C211yesmaximal, characteristic, complemented
3C107×#2808C211yesmaximal, characteristic, complemented
4C107×#2803C211yesmaximal, characteristic, complemented
5C107×#2803C211yesmaximal, characteristic, complemented
6C107×#2786C211yesmaximal, characteristic, complemented
7C107×#2781C211yesmaximal, characteristic, complemented
8C107×#2779C211yesmaximal, characteristic, complemented
9C107×#2778C211yesmaximal, characteristic, complemented
10C107×#2775C211yesmaximal, characteristic, complemented
11C107×#2759C211yesmaximal, characteristic, complemented
12C107×#2756C211yesmaximal, characteristic, complemented
13C107×#2756C211yesmaximal, characteristic, complemented
14C107×#2751C211yesmaximal, characteristic, complemented
15C107×#2733C211yesmaximal, characteristic, complemented
16C107×#2715C211yesmaximal, characteristic, complemented
17C107×#2714C211yesmaximal, characteristic, complemented
18C107×#2686C211yesmaximal, characteristic, complemented
19C107×#2622C211yesmaximal, characteristic, complemented
20C107×#2617C211yesmaximal, characteristic, complemented
21C107×#2510C211yesmaximal, characteristic, complemented
22C107×#2472C211yesmaximal, characteristic, complemented
23C107×#2444C211yesmaximal, characteristic, complemented
24C107×#2438C211yesmaximal, characteristic, complemented
25C107×#2430C211yesmaximal, characteristic, complemented
26C107×#2424C211yesmaximal, characteristic, complemented
27C107×#2411C211yesmaximal, characteristic, complemented
28C107×#2404C211yesmaximal, characteristic, complemented
29C107×#2322C211yesmaximal, characteristic, complemented
30C107×#2311C211yesmaximal, characteristic, complemented
31C2×#388×C107C211yesmaximal, characteristic, complemented
32C22×#41×C107C2211yescharacteristic
33C2×#126×C107C2211yescharacteristic, complemented
34C2×#124×C107C2211yescharacteristic
35C2×#124×C107C2211yescharacteristic, complemented
36C2×#123×C107C2211yescharacteristic
37C2×C22⋊Q8×C107C2211yescharacteristic
38C2×#121×C107C2211yescharacteristic
39C2×#121×C107C2211yescharacteristic
40C2×#121×C107C2211yescharacteristic
41C2×#120×C107C2211yescharacteristic
42C2×#120×C107C2211yescharacteristic
43C2×#120×C107C2211yescharacteristic
44C2×C4×D4×C107C2211yescharacteristic
45C2×#117×C107C2211yescharacteristic
46C22×C4⋊C4×C107C2211yescharacteristic
47C22×C22⋊C4×C107C2211yescharacteristic
48C22×C22⋊C4×C107C2211yescharacteristic
49C22×C22⋊C4×C107C2211yescharacteristic
50C22×C42×C107C2211yescharacteristic
51#401×C107C2211yescharacteristic, complemented
52#400×C107C2211yescharacteristic, complemented
53#400×C107C2211yescharacteristic, complemented
54#400×C107C2211yescharacteristic, complemented
55#398×C107C2211yescharacteristic, complemented
56#398×C107C2211yescharacteristic, complemented
57#397×C107C2211yescharacteristic
58#397×C107C2211yescharacteristic
59#397×C107C2211yescharacteristic
60#397×C107C2211yescharacteristic
61#397×C107C2211yescharacteristic
62#397×C107C2211yescharacteristic
63#397×C107C2211yescharacteristic
64#397×C107C2211yescharacteristic, complemented
65#397×C107C2211yescharacteristic, complemented
66#397×C107C2211yescharacteristic, complemented
67#397×C107C2211yescharacteristic, complemented
68#396×C107C2211yescharacteristic
69#396×C107C2211yescharacteristic
70#396×C107C2211yescharacteristic
71#395×C107C2211yescharacteristic, complemented
72#395×C107C2211yescharacteristic, complemented
73#394×C107C2211yescharacteristic
74#394×C107C2211yescharacteristic
75#394×C107C2211yescharacteristic
76#394×C107C2211yescharacteristic
77#394×C107C2211yescharacteristic
78#394×C107C2211yescharacteristic
79#394×C107C2211yescharacteristic
80#394×C107C2211yescharacteristic
81#394×C107C2211yescharacteristic
82#394×C107C2211yescharacteristic
83#394×C107C2211yescharacteristic
84#394×C107C2211yescharacteristic
85#394×C107C2211yescharacteristic
86#394×C107C2211yescharacteristic
87#394×C107C2211yescharacteristic, complemented
88#394×C107C2211yescharacteristic, complemented
89#393×C107C2211yescharacteristic
90#393×C107C2211yescharacteristic
91#393×C107C2211yescharacteristic
92#393×C107C2211yescharacteristic, complemented
93#392×C107C2211yescharacteristic
94#392×C107C2211yescharacteristic
95#392×C107C2211yescharacteristic
96#392×C107C2211yescharacteristic
97#392×C107C2211yescharacteristic
98#392×C107C2211yescharacteristic, complemented
99#391×C107C2211yescharacteristic, complemented
100#391×C107C2211yescharacteristic, complemented
101#391×C107C2211yescharacteristic, complemented
102#391×C107C2211yescharacteristic, complemented
103#390×C107C2211yescharacteristic
104#390×C107C2211yescharacteristic
105#390×C107C2211yescharacteristic
106#390×C107C2211yescharacteristic
107#390×C107C2211yescharacteristic, complemented
108#390×C107C2211yescharacteristic, complemented
109#390×C107C2211yescharacteristic, complemented
110#389×C107C2211yescharacteristic, complemented
111#389×C107C2211yescharacteristic, complemented
112#389×C107C2211yescharacteristic, complemented
113#388×C107C2211yescharacteristic
114#388×C107C2211yescharacteristic
115#388×C107C2211yescharacteristic
116#388×C107C2211yescharacteristic
117#388×C107C2211yescharacteristic
118#388×C107C2211yescharacteristic
119#388×C107C2211yescharacteristic
120#388×C107C2211yescharacteristic
121#388×C107C2211yescharacteristic
122#388×C107C2211yescharacteristic
123#388×C107C2211yescharacteristic
124#388×C107C2211yescharacteristic
125#388×C107C2211yescharacteristic
126#388×C107C2211yescharacteristic, complemented
127#388×C107C2211yescharacteristic, complemented
128#388×C107C2211yescharacteristic, complemented
129#388×C107C2211yescharacteristic, complemented
130#388×C107C2211yescharacteristic, complemented
131#388×C107C2211yescharacteristic, complemented
132#388×C107C2211yescharacteristic, complemented
133#388×C107C2211yescharacteristic, complemented
134#388×C107C2211yescharacteristic, complemented
135#388×C107C2211yescharacteristic, complemented
136#388×C107C2211yescharacteristic, complemented
137#388×C107C2211yescharacteristic, complemented
138#387×C107C2211yescharacteristic, complemented
139#387×C107C2211yescharacteristic, complemented
140#387×C107C2211yescharacteristic, complemented
141#387×C107C2211yescharacteristic, complemented
142#387×C107C2211yescharacteristic, complemented
143#387×C107C2211yescharacteristic, complemented
144#387×C107C2211yescharacteristic, complemented
145#387×C107C2211yescharacteristic, complemented
146#387×C107C2211yescharacteristic, complemented
147#386×C107C2211yescharacteristic
148#386×C107C2211yescharacteristic
149#386×C107C2211yescharacteristic
150#386×C107C2211yescharacteristic
151#386×C107C2211yescharacteristic
152#386×C107C2211yescharacteristic
153#386×C107C2211yescharacteristic
154#386×C107C2211yescharacteristic
155#386×C107C2211yescharacteristic
156#386×C107C2211yescharacteristic
157#386×C107C2211yescharacteristic
158#386×C107C2211yescharacteristic
159#386×C107C2211yescharacteristic
160#386×C107C2211yescharacteristic
161#386×C107C2211yescharacteristic
162#386×C107C2211yescharacteristic, complemented
163#386×C107C2211yescharacteristic, complemented
164#386×C107C2211yescharacteristic, complemented
165#385×C107C2211yescharacteristic
166#385×C107C2211yescharacteristic
167#385×C107C2211yescharacteristic
168#385×C107C2211yescharacteristic
169#385×C107C2211yescharacteristic, complemented
170#385×C107C2211yescharacteristic, complemented
171#385×C107C2211yescharacteristic, complemented
172#385×C107C2211yescharacteristic, complemented
173#383×C107C2211yescharacteristic, complemented
174#383×C107C2211yescharacteristic, complemented
175#382×C107C2211yescharacteristic, complemented
176#381×C107C2211yescharacteristic
177#381×C107C2211yescharacteristic, complemented
178#380×C107C2211yescharacteristic
179#380×C107C2211yescharacteristic, complemented
180#380×C107C2211yescharacteristic, complemented
181#380×C107C2211yescharacteristic, complemented
182#380×C107C2211yescharacteristic, complemented
183#379×C107C2211yescharacteristic
184C4×C22⋊C4×C107C2211yescharacteristic
185C2×#95×C107C2211yescharacteristic
186C2×#95×C107C2211yescharacteristic
187C25×C107C2311yescharacteristic
188C2×#41×C107—24no—
189C2×#41×C107—42no—
190C2×#41×C107—42no—
191C22×Q8×C107C2311yescharacteristic
192C22×Q8×C107C2311yescharacteristic
193C22×D4×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
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—42no—
215#124×C107—42no—
216#124×C107—42no—
217#123×C107—24no—
218C22⋊Q8×C107—42no—
219#121×C107—42no—
220#121×C107—42no—
221#121×C107—42no—
222#120×C107—42no—
223#120×C107—42no—
224#120×C107—42no—
225C4×D4×C107—42no—
226#117×C107—42no—
227C2×C4⋊C4×C107—42no—
228C2×C4⋊C4×C107C2311yescharacteristic
229C2×C4⋊C4×C107C2311yescharacteristic
230C2×C4⋊C4×C107C2311yescharacteristic
231C2×C4⋊C4×C107C2311yescharacteristic
232C2×C4⋊C4×C107C2311yescharacteristic
233C2×C4⋊C4×C107C2311yescharacteristic
234C2×C4⋊C4×C107C2311yescharacteristic
235C2×C4⋊C4×C107C2311yescharacteristic
236C2×C4⋊C4×C107C2311yescharacteristic
237C2×C4⋊C4×C107C2311yescharacteristic
238C2×C4⋊C4×C107C2311yescharacteristic
239C2×C4⋊C4×C107C2311yescharacteristic
240C2×C4⋊C4×C107C2311yescharacteristic
241C2×C4⋊C4×C107C2311yescharacteristic
242C2×C4⋊C4×C107C2311yescharacteristic
243C2×C4⋊C4×C107C2311yescharacteristic
244C2×C4⋊C4×C107C2311yescharacteristic
245C2×C4⋊C4×C107C2311yescharacteristic
246C2×C4⋊C4×C107C2311yescharacteristic
247C2×C4⋊C4×C107C2311yescharacteristic
248C2×C4⋊C4×C107C2311yescharacteristic
249C2×C4⋊C4×C107C2311yescharacteristic
250C2×C4⋊C4×C107C2311yescharacteristic
251C2×C4⋊C4×C107C2311yescharacteristic
252C2×C22⋊C4×C107—24no—
253C2×C22⋊C4×C107—42no—
254C2×C22⋊C4×C107—42no—
255C2×C22⋊C4×C107C2311yescharacteristic
256C2×C22⋊C4×C107C2311yescharacteristic
257C2×C22⋊C4×C107C2311yescharacteristic
258C2×C22⋊C4×C107C2311yescharacteristic
259C2×C22⋊C4×C107C2311yescharacteristic
260C2×C22⋊C4×C107C2311yescharacteristic
261C2×C22⋊C4×C107C2311yescharacteristic
262C2×C22⋊C4×C107C2311yescharacteristic
263C2×C22⋊C4×C107C2311yescharacteristic
264C2×C22⋊C4×C107C2311yescharacteristic
265C2×C22⋊C4×C107C2311yescharacteristic
266C2×C22⋊C4×C107C2311yescharacteristic
267C2×C22⋊C4×C107C2311yescharacteristic
268C2×C22⋊C4×C107C2311yescharacteristic
269C2×C22⋊C4×C107C2311yescharacteristic
270C2×C22⋊C4×C107C2311yescharacteristic
271C2×C22⋊C4×C107C2311yescharacteristic
272C2×C22⋊C4×C107C2311yescharacteristic
273C2×C22⋊C4×C107C2311yescharacteristic
274C2×C22⋊C4×C107C2311yescharacteristic
275C2×C22⋊C4×C107C2311yescharacteristic
276C2×C22⋊C4×C107C2311yescharacteristic
277C2×C22⋊C4×C107C2311yescharacteristic
278C2×C22⋊C4×C107C2311yescharacteristic
279C2×C22⋊C4×C107C2311yescharacteristic
280C2×C22⋊C4×C107C2311yescharacteristic
281C2×C22⋊C4×C107C2311yescharacteristic
282C2×C22⋊C4×C107C2311yescharacteristic
283C2×C22⋊C4×C107C2311yescharacteristic
284C2×C22⋊C4×C107C2311yescharacteristic
285C2×C22⋊C4×C107C2311yescharacteristic
286C2×C22⋊C4×C107C2311yescharacteristic
287C2×C22⋊C4×C107C2311yescharacteristic
288C2×C22⋊C4×C107C2311yescharacteristic
289C2×C22⋊C4×C107C2311yescharacteristic
290C2×C22⋊C4×C107C2311yescharacteristic
291C2×C22⋊C4×C107C2311yescharacteristic
292C2×C22⋊C4×C107C2311yescharacteristic
293C2×C22⋊C4×C107C2311yescharacteristic
294C2×C22⋊C4×C107C2311yescharacteristic
295C2×C22⋊C4×C107C2311yescharacteristic
296C2×C22⋊C4×C107C2311yescharacteristic
297C2×C22⋊C4×C107C2311yescharacteristic
298C2×C22⋊C4×C107C2311yescharacteristic
299C2×C22⋊C4×C107C2311yescharacteristic
300C2×C22⋊C4×C107C2311yescharacteristic
301C2×C22⋊C4×C107C2311yescharacteristic
302C2×C22⋊C4×C107C2311yescharacteristic
303C2×C22⋊C4×C107C2311yescharacteristic
304C2×C22⋊C4×C107C2311yescharacteristic
305C2×C22⋊C4×C107C2311yescharacteristic
306C2×C22⋊C4×C107C2311yescharacteristic
307C2×C22⋊C4×C107C2311yescharacteristic
308C2×C22⋊C4×C107C2311yescharacteristic
309C2×C42×C107—42no—
310C2×C42×C107C2311yescharacteristic
311C2×C42×C107C2311yescharacteristic
312C2×C42×C107C2311yescharacteristic
313C2×C42×C107C2311yescharacteristic
314C2×C42×C107C2311yescharacteristic
315C2×C42×C107C2311yescharacteristic
316C2×C42×C107C2311yescharacteristic
317C2×C42×C107C2311yescharacteristic
318C2×C42×C107C2311yescharacteristic
319#95×C107C2311yescharacteristic
320#95×C107C2311yescharacteristic
321#95×C107C2311yescharacteristic
322#95×C107C2311yescharacteristic
323#95×C107C2311yescharacteristic
324#95×C107C2311yescharacteristic
325#95×C107C2311yescharacteristic
326#95×C107C2311yescharacteristic
327#95×C107C2311yescharacteristic
328#95×C107C2311yescharacteristic
329#95×C107C2311yescharacteristic
330#95×C107C2311yescharacteristic
331#95×C107C2311yescharacteristic
332#95×C107C2311yescharacteristic
333#95×C107C2311yescharacteristic
334#95×C107C2311yescharacteristic
335#95×C107C2311yescharacteristic
336#95×C107C2311yescharacteristic
337#95×C107C2311yescharacteristic
338#95×C107C2311yescharacteristic
339#95×C107C2311yescharacteristic
340#95×C107C2311yescharacteristic
341#95×C107C2311yescharacteristic
342#95×C107C2311yescharacteristic
343#95×C107C2311yescharacteristic
344#95×C107C2311yescharacteristic
345#95×C107C2311yescharacteristic
346#95×C107C2311yescharacteristic
347#95×C107C2311yescharacteristic
348#95×C107C2311yescharacteristic
349#95×C107C2311yescharacteristic
350#95×C107C2311yescharacteristic
351#95×C107C2311yescharacteristic
352#95×C107C2311yescharacteristic
353#95×C107C2311yescharacteristic
354#95×C107C2311yescharacteristic
355#95×C107C2311yescharacteristic
356#95×C107C2311yescharacteristic
357#95×C107C2311yescharacteristic
358#95×C107C2311yescharacteristic
359#95×C107C2311yescharacteristic
360#95×C107C2311yescharacteristic
361#95×C107C2311yescharacteristic
362#95×C107C2311yescharacteristic
363C24×C107—22no—
364C24×C107—22no—
365C24×C107—22no—
366C24×C107—41no—
367C24×C107—41no—
368C24×C107—41no—
369C24×C107—41no—
370C24×C107C2411yescharacteristic
371C24×C107C2411yescharacteristic
372C24×C107C2411yescharacteristic
373C24×C107C2411yescharacteristic
374C24×C107C2411yescharacteristic
375C24×C107C2411yescharacteristic
376#41×C107—416no—
377C2×Q8×C107—22no—
378C2×Q8×C107—22no—
379C2×Q8×C107—41no—
380C2×Q8×C107—41no—
381C2×Q8×C107—41no—
382C2×Q8×C107—41no—
383C2×D4×C107—22no—
384C2×D4×C107—22no—
385C2×D4×C107—22no—
386C2×D4×C107—22no—
387C2×D4×C107—22no—
388C2×D4×C107—22no—
389C2×D4×C107—22no—
390C2×D4×C107—22no—
391C2×D4×C107—22no—
392C2×D4×C107—22no—
393C2×D4×C107—22no—
394C2×D4×C107—41no—
395C2×D4×C107—41no—
396C2×D4×C107—41no—
397C2×D4×C107—41no—
398C2×D4×C107—41no—
399C2×D4×C107—41no—
400C2×D4×C107—41no—
401C2×D4×C107—41no—
402C2×D4×C107—41no—
403C2×D4×C107—41no—
404C2×D4×C107—41no—
405C2×D4×C107—41no—
406C2×D4×C107—41no—
407C2×D4×C107—41no—
408C2×D4×C107—41no—
409C2×D4×C107—41no—
410C2×D4×C107—41no—
411C2×D4×C107—41no—
412C2×D4×C107—41no—
413C2×D4×C107—41no—
414C2×D4×C107—41no—
415C2×D4×C107—41no—
416C2×D4×C107—41no—
417C2×D4×C107—41no—
418C2×D4×C107—41no—
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—41no—
430C22×C4×C107—41no—
431C22×C4×C107—41no—
432C22×C4×C107—41no—
433C22×C4×C107—41no—
434C22×C4×C107—41no—
435C22×C4×C107—41no—
436C22×C4×C107—41no—
437C22×C4×C107—41no—
438C22×C4×C107—41no—
439C22×C4×C107—41no—
440C22×C4×C107—41no—
441C22×C4×C107—41no—
442C22×C4×C107—41no—
443C22×C4×C107—41no—
444C22×C4×C107—41no—
445C22×C4×C107#4114yes—
446C22×C4×C107C2411yescharacteristic
447C22×C4×C107C2411yescharacteristic
448C22×C4×C107C2411yescharacteristic
449C22×C4×C107C2411yescharacteristic
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
471C4⋊C4×C107—22no—
472C4⋊C4×C107—22no—
473C4⋊C4×C107—22no—
474C4⋊C4×C107—41no—
475C4⋊C4×C107—41no—
476C4⋊C4×C107—41no—
477C4⋊C4×C107—41no—
478C4⋊C4×C107—41no—
479C4⋊C4×C107—41no—
480C4⋊C4×C107—41no—
481C4⋊C4×C107—41no—
482C4⋊C4×C107—41no—
483C4⋊C4×C107—41no—
484C4⋊C4×C107—41no—
485C4⋊C4×C107—41no—
486C4⋊C4×C107—41no—
487C4⋊C4×C107—41no—
488C4⋊C4×C107—41no—
489C4⋊C4×C107—41no—
490C4⋊C4×C107—41no—
491C4⋊C4×C107—41no—
492C4⋊C4×C107—41no—
493C4⋊C4×C107—41no—
494C4⋊C4×C107—41no—
495C22⋊C4×C107—22no—
496C22⋊C4×C107—22no—
497C22⋊C4×C107—22no—
498C22⋊C4×C107—22no—
499C22⋊C4×C107—22no—
500C22⋊C4×C107—22no—
501C22⋊C4×C107—22no—
502C22⋊C4×C107—22no—
503C22⋊C4×C107—22no—
504C22⋊C4×C107—22no—
505C22⋊C4×C107—22no—
506C22⋊C4×C107—22no—
507C22⋊C4×C107—22no—
508C22⋊C4×C107—22no—
509C22⋊C4×C107—41no—
510C22⋊C4×C107—41no—
511C22⋊C4×C107—41no—
512C22⋊C4×C107—41no—
513C22⋊C4×C107—41no—
514C22⋊C4×C107—41no—
515C22⋊C4×C107—41no—
516C22⋊C4×C107—41no—
517C22⋊C4×C107—41no—
518C22⋊C4×C107—41no—
519C22⋊C4×C107—41no—
520C22⋊C4×C107—41no—
521C22⋊C4×C107—41no—
522C22⋊C4×C107—41no—
523C22⋊C4×C107—41no—
524C22⋊C4×C107—41no—
525C22⋊C4×C107—41no—
526C22⋊C4×C107—41no—
527C22⋊C4×C107—41no—
528C22⋊C4×C107—41no—
529C22⋊C4×C107—41no—
530C22⋊C4×C107—41no—
531C22⋊C4×C107—41no—
532C22⋊C4×C107—41no—
533C22⋊C4×C107—41no—
534C22⋊C4×C107—41no—
535C22⋊C4×C107—41no—
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×C107—41no—
548C22⋊C4×C107—41no—
549C42×C107—22no—
550C42×C107—22no—
551C42×C107—41no—
552C42×C107—41no—
553C42×C107—41no—
554C42×C107—41no—
555C42×C107—41no—
556C42×C107—41no—
557C42×C107—41no—
558C23×C107—21no—
559C23×C107—21no—
560C23×C107—21no—
561C23×C107—21no—
562C23×C107—21no—
563C23×C107—21no—
564C23×C107—21no—
565C23×C107—21no—
566C23×C107—21no—
567C23×C107—21no—
568C23×C107—21no—
569C23×C107—21no—
570C23×C107—21no—
571C23×C107—21no—
572C23×C107—21no—
573C23×C107—21no—
574C23×C107—21no—
575C23×C107—21no—
576C23×C107—21no—
577C23×C107—21no—
578C23×C107—21no—
579C23×C107—21no—
580C23×C107—21no—
581C23×C107—21no—
582C23×C107—21no—
583C23×C107—21no—
584C23×C107—21no—
585C23×C107—21no—
586C23×C107—21no—
587C23×C107—21no—
588C23×C107—21no—
589C23×C107—21no—
590C23×C107—21no—
591C23×C107—21no—
592C23×C107—21no—
593C23×C107—21no—
594C23×C107—21no—
595C23×C107—21no—
596C23×C107—21no—
597C23×C107—44no—
598C23×C107—44no—
599C23×C107—44no—
600C23×C107—82no—
601C23×C107—82no—
602C23×C107—82no—
603C23×C107—82no—
604C23×C107C2×#4112yes—
605C23×C107H(5,𝔽2)12yes—
606C23×C107H(5,𝔽2)12yes—
607C23×C107C2511yescharacteristic
608Q8×C107—44no—
609Q8×C107—82no—
610D4×C107—44no—
611D4×C107—44no—
612D4×C107—44no—
613D4×C107—44no—
614D4×C107—82no—
615D4×C107—82no—
616D4×C107—82no—
617D4×C107—82no—
618D4×C107—82no—
619D4×C107—82no—
620D4×C107—82no—
621D4×C107—82no—
622C2×C4×C107—28no—
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—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—44no—
696C2×C4×C107—44no—
697C2×C4×C107—44no—
698C2×C4×C107—44no—
699C2×C4×C107—44no—
700C2×C4×C107—82no—
701C2×C4×C107—82no—
702C2×C4×C107—82no—
703C2×C4×C107C2×#4112yes—
704C2×C4×C107C2×#4112yes—
705C2×C4×C107H(5,𝔽2)12yes—
706C22×C107—22no—
707C22×C107—22no—
708C22×C107—22no—
709C22×C107—22no—
710C22×C107—22no—
711C22×C107—22no—
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—41no—
722C22×C107—41no—
723C22×C107—41no—
724C22×C107—41no—
725C22×C107—41no—
726C22×C107—41no—
727C22×C107—41no—
728C22×C107—41no—
729C22×C107—41no—
730C22×C107—41no—
731C22×C107—41no—
732C22×C107—41no—
733C22×C107—41no—
734C22×C107—41no—
735C22×C107—41no—
736C22×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—88no—
748C22×C107#53814yes—
749C22×C107C22×#4111yescharacteristic
750C22×C107C2×H(5,𝔽2)11yescharacteristic
751C22×C107C2×H(5,𝔽2)11yescharacteristic
752C22×C107C2×H(5,𝔽2)11yescharacteristic
753C22×C107#58511yescharacteristic
754C22×C107#58511yescharacteristic
755C22×C107#58511yescharacteristic
756C4×C107—22no—
757C4×C107—22no—
758C4×C107—22no—
759C4×C107—41no—
760C4×C107—41no—
761C4×C107—41no—
762C4×C107—41no—
763C4×C107—41no—
764C4×C107—41no—
765C4×C107—41no—
766C4×C107—41no—
767C4×C107—41no—
768C4×C107—41no—
769C4×C107—41no—
770C4×C107—41no—
771C4×C107—41no—
772C4×C107—41no—
773C4×C107—41no—
774C4×C107—41no—
775C4×C107—41no—
776C4×C107—41no—
777C4×C107—41no—
778C4×C107—41no—
779C4×C107—41no—
780C4×C107—41no—
781#36795C10711yesmaximal, characteristic, direct product factor, Sylow
782C2×C107—24no—
783C2×C107—81no—
784C2×C107—81no—
785C2×C107—81no—
786C2×C107—81no—
787C2×C107—81no—
788C2×C107C2×#53811yescharacteristic
789C2×C107#349311yescharacteristic
790C2×C107#350611yescharacteristic
791C2×C107#353411yescharacteristic
792C2×C107#354211yescharacteristic
793C2×C107#354511yescharacteristic
794C2×C107#356011yescharacteristic
795#2852C2×C10711yescharacteristic, complemented
796#2850C2×C10711yescharacteristic, complemented
797#2808C2×C10711yescharacteristic, complemented
798#2803C2×C10711yescharacteristic, complemented
799#2803C2×C10711yescharacteristic, complemented
800#2786C2×C10711yescharacteristic, complemented
801#2781C2×C10711yescharacteristic, complemented
802#2779C2×C10711yescharacteristic, complemented
803#2778C2×C10711yescharacteristic, complemented
804#2775C2×C10711yescharacteristic, complemented
805#2759C2×C10711yescharacteristic, complemented
806#2756C2×C10711yescharacteristic, complemented
807#2756C2×C10711yescharacteristic, complemented
808#2751C2×C10711yescharacteristic, complemented
809#2733C2×C10711yescharacteristic, complemented
810#2715C2×C10711yescharacteristic, complemented
811#2714C2×C10711yescharacteristic, complemented
812#2686C2×C10711yescharacteristic, complemented
813#2622C2×C10711yescharacteristic, complemented
814#2617C2×C10711yescharacteristic, complemented
815#2510C2×C10711yescharacteristic, complemented
816#2472C2×C10711yescharacteristic, complemented
817#2444C2×C10711yescharacteristic, complemented
818#2438C2×C10711yescharacteristic, complemented
819#2430C2×C10711yescharacteristic, complemented
820#2424C2×C10711yescharacteristic, complemented
821#2411C2×C10711yescharacteristic, complemented
822#2404C2×C10711yescharacteristic, complemented
823#2322C2×C10711yescharacteristic, complemented
824#2311C2×C10711yescharacteristic, complemented
825C2×#388C2×C10711yescharacteristic, complemented
826C107#3679511yescharacteristic, direct product factor, Sylow
827C22×#41C22×C10711yescharacteristic
828C2×#126C22×C10711yescharacteristic, complemented
829C2×#124C22×C10711yescharacteristic
830C2×#124C22×C10711yescharacteristic, complemented
831C2×#123C22×C10711yescharacteristic
832C2×C22⋊Q8C22×C10711yescharacteristic
833C2×#121C22×C10711yescharacteristic
834C2×#121C22×C10711yescharacteristic
835C2×#121C22×C10711yescharacteristic
836C2×#120C22×C10711yescharacteristic
837C2×#120C22×C10711yescharacteristic
838C2×#120C22×C10711yescharacteristic
839C2×C4×D4C22×C10711yescharacteristic
840C2×#117C22×C10711yescharacteristic
841C22×C4⋊C4C22×C10711yescharacteristic
842C22×C22⋊C4C22×C10711yescharacteristic
843C22×C22⋊C4C22×C10711yescharacteristic
844C22×C22⋊C4C22×C10711yescharacteristic
845C22×C42C22×C10711yescharacteristic
846#401C22×C10711yescharacteristic, complemented
847#400C22×C10711yescharacteristic, complemented
848#400C22×C10711yescharacteristic, complemented
849#400C22×C10711yescharacteristic, complemented
850#398C22×C10711yescharacteristic, complemented
851#398C22×C10711yescharacteristic, complemented
852#397C22×C10711yescharacteristic
853#397C22×C10711yescharacteristic
854#397C22×C10711yescharacteristic
855#397C22×C10711yescharacteristic
856#397C22×C10711yescharacteristic
857#397C22×C10711yescharacteristic
858#397C22×C10711yescharacteristic
859#397C22×C10711yescharacteristic, complemented
860#397C22×C10711yescharacteristic, complemented
861#397C22×C10711yescharacteristic, complemented
862#397C22×C10711yescharacteristic, complemented
863#396C22×C10711yescharacteristic
864#396C22×C10711yescharacteristic
865#396C22×C10711yescharacteristic
866#395C22×C10711yescharacteristic, complemented
867#395C22×C10711yescharacteristic, complemented
868#394C22×C10711yescharacteristic
869#394C22×C10711yescharacteristic
870#394C22×C10711yescharacteristic
871#394C22×C10711yescharacteristic
872#394C22×C10711yescharacteristic
873#394C22×C10711yescharacteristic
874#394C22×C10711yescharacteristic
875#394C22×C10711yescharacteristic
876#394C22×C10711yescharacteristic
877#394C22×C10711yescharacteristic
878#394C22×C10711yescharacteristic
879#394C22×C10711yescharacteristic
880#394C22×C10711yescharacteristic
881#394C22×C10711yescharacteristic
882#394C22×C10711yescharacteristic, complemented
883#394C22×C10711yescharacteristic, complemented
884#393C22×C10711yescharacteristic
885#393C22×C10711yescharacteristic
886#393C22×C10711yescharacteristic
887#393C22×C10711yescharacteristic, complemented
888#392C22×C10711yescharacteristic
889#392C22×C10711yescharacteristic
890#392C22×C10711yescharacteristic
891#392C22×C10711yescharacteristic
892#392C22×C10711yescharacteristic
893#392C22×C10711yescharacteristic, complemented
894#391C22×C10711yescharacteristic, complemented
895#391C22×C10711yescharacteristic, complemented
896#391C22×C10711yescharacteristic, complemented
897#391C22×C10711yescharacteristic, complemented
898#390C22×C10711yescharacteristic
899#390C22×C10711yescharacteristic
900#390C22×C10711yescharacteristic
901#390C22×C10711yescharacteristic
902#390C22×C10711yescharacteristic, complemented
903#390C22×C10711yescharacteristic, complemented
904#390C22×C10711yescharacteristic, complemented
905#389C22×C10711yescharacteristic, complemented
906#389C22×C10711yescharacteristic, complemented
907#389C22×C10711yescharacteristic, complemented
908#388C22×C10711yescharacteristic
909#388C22×C10711yescharacteristic
910#388C22×C10711yescharacteristic
911#388C22×C10711yescharacteristic
912#388C22×C10711yescharacteristic
913#388C22×C10711yescharacteristic
914#388C22×C10711yescharacteristic
915#388C22×C10711yescharacteristic
916#388C22×C10711yescharacteristic
917#388C22×C10711yescharacteristic
918#388C22×C10711yescharacteristic
919#388C22×C10711yescharacteristic
920#388C22×C10711yescharacteristic
921#388C22×C10711yescharacteristic, complemented
922#388C22×C10711yescharacteristic, complemented
923#388C22×C10711yescharacteristic, complemented
924#388C22×C10711yescharacteristic, complemented
925#388C22×C10711yescharacteristic, complemented
926#388C22×C10711yescharacteristic, complemented
927#388C22×C10711yescharacteristic, complemented
928#388C22×C10711yescharacteristic, complemented
929#388C22×C10711yescharacteristic, complemented
930#388C22×C10711yescharacteristic, complemented
931#388C22×C10711yescharacteristic, complemented
932#388C22×C10711yescharacteristic, complemented
933#387C22×C10711yescharacteristic, complemented
934#387C22×C10711yescharacteristic, complemented
935#387C22×C10711yescharacteristic, complemented
936#387C22×C10711yescharacteristic, complemented
937#387C22×C10711yescharacteristic, complemented
938#387C22×C10711yescharacteristic, complemented
939#387C22×C10711yescharacteristic, complemented
940#387C22×C10711yescharacteristic, complemented
941#387C22×C10711yescharacteristic, complemented
942#386C22×C10711yescharacteristic
943#386C22×C10711yescharacteristic
944#386C22×C10711yescharacteristic
945#386C22×C10711yescharacteristic
946#386C22×C10711yescharacteristic
947#386C22×C10711yescharacteristic
948#386C22×C10711yescharacteristic
949#386C22×C10711yescharacteristic
950#386C22×C10711yescharacteristic
951#386C22×C10711yescharacteristic
952#386C22×C10711yescharacteristic
953#386C22×C10711yescharacteristic
954#386C22×C10711yescharacteristic
955#386C22×C10711yescharacteristic
956#386C22×C10711yescharacteristic
957#386C22×C10711yescharacteristic, complemented
958#386C22×C10711yescharacteristic, complemented
959#386C22×C10711yescharacteristic, complemented
960#385C22×C10711yescharacteristic
961#385C22×C10711yescharacteristic
962#385C22×C10711yescharacteristic
963#385C22×C10711yescharacteristic
964#385C22×C10711yescharacteristic, complemented
965#385C22×C10711yescharacteristic, complemented
966#385C22×C10711yescharacteristic, complemented
967#385C22×C10711yescharacteristic, complemented
968#383C22×C10711yescharacteristic, complemented
969#383C22×C10711yescharacteristic, complemented
970#382C22×C10711yescharacteristic, complemented
971#381C22×C10711yescharacteristic
972#381C22×C10711yescharacteristic, complemented
973#380C22×C10711yescharacteristic
974#380C22×C10711yescharacteristic, complemented
975#380C22×C10711yescharacteristic, complemented
976#380C22×C10711yescharacteristic, complemented
977#380C22×C10711yescharacteristic, complemented
978#379C22×C10711yescharacteristic
979C4×C22⋊C4C22×C10711yescharacteristic
980C2×#95C22×C10711yescharacteristic
981C2×#95C22×C10711yescharacteristic
982C25C23×C10711yescharacteristic
983C2×#41—24no—
984C2×#41—42no—
985C2×#41—42no—
986C22×Q8C23×C10711yescharacteristic
987C22×Q8C23×C10711yescharacteristic
988C22×D4C23×C10711yescharacteristic
989C22×D4C23×C10711yescharacteristic
990C22×D4C23×C10711yescharacteristic
991C22×D4C23×C10711yescharacteristic
992C22×D4C23×C10711yescharacteristic
993C22×D4C23×C10711yescharacteristic
994C22×D4C23×C10711yescharacteristic
995C22×D4C23×C10711yescharacteristic
996C22×D4C23×C10711yescharacteristic
997C22×D4C23×C10711yescharacteristic
998C22×D4C23×C10711yescharacteristic
999C22×D4C23×C10711yescharacteristic
1000C23×C4C23×C10711yescharacteristic
1001C23×C4C23×C10711yescharacteristic
1002C23×C4C23×C10711yescharacteristic
1003C23×C4C23×C10711yescharacteristic
1004C23×C4C23×C10711yescharacteristic
1005C23×C4C23×C10711yescharacteristic
1006C23×C4C23×C10711yescharacteristic
1007C23×C4C23×C10711yescharacteristic
1008C23×C4C23×C10711yescharacteristic
1009#126—42no—
1010#124—42no—
1011#124—42no—
1012#123—24no—
1013C22⋊Q8—42no—
1014#121—42no—
1015#121—42no—
1016#121—42no—
1017#120—42no—
1018#120—42no—
1019#120—42no—
1020C4×D4—42no—
1021#117—42no—
1022C2×C4⋊C4—42no—
1023C2×C4⋊C4C23×C10711yescharacteristic
1024C2×C4⋊C4C23×C10711yescharacteristic
1025C2×C4⋊C4C23×C10711yescharacteristic
1026C2×C4⋊C4C23×C10711yescharacteristic
1027C2×C4⋊C4C23×C10711yescharacteristic
1028C2×C4⋊C4C23×C10711yescharacteristic
1029C2×C4⋊C4C23×C10711yescharacteristic
1030C2×C4⋊C4C23×C10711yescharacteristic
1031C2×C4⋊C4C23×C10711yescharacteristic
1032C2×C4⋊C4C23×C10711yescharacteristic
1033C2×C4⋊C4C23×C10711yescharacteristic
1034C2×C4⋊C4C23×C10711yescharacteristic
1035C2×C4⋊C4C23×C10711yescharacteristic
1036C2×C4⋊C4C23×C10711yescharacteristic
1037C2×C4⋊C4C23×C10711yescharacteristic
1038C2×C4⋊C4C23×C10711yescharacteristic
1039C2×C4⋊C4C23×C10711yescharacteristic
1040C2×C4⋊C4C23×C10711yescharacteristic
1041C2×C4⋊C4C23×C10711yescharacteristic
1042C2×C4⋊C4C23×C10711yescharacteristic
1043C2×C4⋊C4C23×C10711yescharacteristic
1044C2×C4⋊C4C23×C10711yescharacteristic
1045C2×C4⋊C4C23×C10711yescharacteristic
1046C2×C4⋊C4C23×C10711yescharacteristic
1047C2×C22⋊C4—24no—
1048C2×C22⋊C4—42no—
1049C2×C22⋊C4—42no—
1050C2×C22⋊C4C23×C10711yescharacteristic
1051C2×C22⋊C4C23×C10711yescharacteristic
1052C2×C22⋊C4C23×C10711yescharacteristic
1053C2×C22⋊C4C23×C10711yescharacteristic
1054C2×C22⋊C4C23×C10711yescharacteristic
1055C2×C22⋊C4C23×C10711yescharacteristic
1056C2×C22⋊C4C23×C10711yescharacteristic
1057C2×C22⋊C4C23×C10711yescharacteristic
1058C2×C22⋊C4C23×C10711yescharacteristic
1059C2×C22⋊C4C23×C10711yescharacteristic
1060C2×C22⋊C4C23×C10711yescharacteristic
1061C2×C22⋊C4C23×C10711yescharacteristic
1062C2×C22⋊C4C23×C10711yescharacteristic
1063C2×C22⋊C4C23×C10711yescharacteristic
1064C2×C22⋊C4C23×C10711yescharacteristic
1065C2×C22⋊C4C23×C10711yescharacteristic
1066C2×C22⋊C4C23×C10711yescharacteristic
1067C2×C22⋊C4C23×C10711yescharacteristic
1068C2×C22⋊C4C23×C10711yescharacteristic
1069C2×C22⋊C4C23×C10711yescharacteristic
1070C2×C22⋊C4C23×C10711yescharacteristic
1071C2×C22⋊C4C23×C10711yescharacteristic
1072C2×C22⋊C4C23×C10711yescharacteristic
1073C2×C22⋊C4C23×C10711yescharacteristic
1074C2×C22⋊C4C23×C10711yescharacteristic
1075C2×C22⋊C4C23×C10711yescharacteristic
1076C2×C22⋊C4C23×C10711yescharacteristic
1077C2×C22⋊C4C23×C10711yescharacteristic
1078C2×C22⋊C4C23×C10711yescharacteristic
1079C2×C22⋊C4C23×C10711yescharacteristic
1080C2×C22⋊C4C23×C10711yescharacteristic
1081C2×C22⋊C4C23×C10711yescharacteristic
1082C2×C22⋊C4C23×C10711yescharacteristic
1083C2×C22⋊C4C23×C10711yescharacteristic
1084C2×C22⋊C4C23×C10711yescharacteristic
1085C2×C22⋊C4C23×C10711yescharacteristic
1086C2×C22⋊C4C23×C10711yescharacteristic
1087C2×C22⋊C4C23×C10711yescharacteristic
1088C2×C22⋊C4C23×C10711yescharacteristic
1089C2×C22⋊C4C23×C10711yescharacteristic
1090C2×C22⋊C4C23×C10711yescharacteristic
1091C2×C22⋊C4C23×C10711yescharacteristic
1092C2×C22⋊C4C23×C10711yescharacteristic
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×C42—42no—
1105C2×C42C23×C10711yescharacteristic
1106C2×C42C23×C10711yescharacteristic
1107C2×C42C23×C10711yescharacteristic
1108C2×C42C23×C10711yescharacteristic
1109C2×C42C23×C10711yescharacteristic
1110C2×C42C23×C10711yescharacteristic
1111C2×C42C23×C10711yescharacteristic
1112C2×C42C23×C10711yescharacteristic
1113C2×C42C23×C10711yescharacteristic
1114#95C23×C10711yescharacteristic
1115#95C23×C10711yescharacteristic
1116#95C23×C10711yescharacteristic
1117#95C23×C10711yescharacteristic
1118#95C23×C10711yescharacteristic
1119#95C23×C10711yescharacteristic
1120#95C23×C10711yescharacteristic
1121#95C23×C10711yescharacteristic
1122#95C23×C10711yescharacteristic
1123#95C23×C10711yescharacteristic
1124#95C23×C10711yescharacteristic
1125#95C23×C10711yescharacteristic
1126#95C23×C10711yescharacteristic
1127#95C23×C10711yescharacteristic
1128#95C23×C10711yescharacteristic
1129#95C23×C10711yescharacteristic
1130#95C23×C10711yescharacteristic
1131#95C23×C10711yescharacteristic
1132#95C23×C10711yescharacteristic
1133#95C23×C10711yescharacteristic
1134#95C23×C10711yescharacteristic
1135#95C23×C10711yescharacteristic
1136#95C23×C10711yescharacteristic
1137#95C23×C10711yescharacteristic
1138#95C23×C10711yescharacteristic
1139#95C23×C10711yescharacteristic
1140#95C23×C10711yescharacteristic
1141#95C23×C10711yescharacteristic
1142#95C23×C10711yescharacteristic
1143#95C23×C10711yescharacteristic
1144#95C23×C10711yescharacteristic
1145#95C23×C10711yescharacteristic
1146#95C23×C10711yescharacteristic
1147#95C23×C10711yescharacteristic
1148#95C23×C10711yescharacteristic
1149#95C23×C10711yescharacteristic
1150#95C23×C10711yescharacteristic
1151#95C23×C10711yescharacteristic
1152#95C23×C10711yescharacteristic
1153#95C23×C10711yescharacteristic
1154#95C23×C10711yescharacteristic
1155#95C23×C10711yescharacteristic
1156#95C23×C10711yescharacteristic
1157#95C23×C10711yescharacteristic
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24C24×C10711yescharacteristic
1166C24C24×C10711yescharacteristic
1167C24C24×C10711yescharacteristic
1168C24C24×C10711yescharacteristic
1169C24C24×C10711yescharacteristic
1170C24C24×C10711yescharacteristic
1171#41—416no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—41no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×Q8—41no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4#41×C10714yes—
1241C22×C4C24×C10711yescharacteristic
1242C22×C4C24×C10711yescharacteristic
1243C22×C4C24×C10711yescharacteristic
1244C22×C4C24×C10711yescharacteristic
1245C22×C4C24×C10711yescharacteristic
1246C22×C4C24×C10711yescharacteristic
1247C22×C4C24×C10711yescharacteristic
1248C22×C4C24×C10711yescharacteristic
1249C22×C4C24×C10711yescharacteristic
1250C22×C4C24×C10711yescharacteristic
1251C22×C4C24×C10711yescharacteristic
1252C22×C4C24×C10711yescharacteristic
1253C22×C4C24×C10711yescharacteristic
1254C22×C4C24×C10711yescharacteristic
1255C22×C4C24×C10711yescharacteristic
1256C22×C4C24×C10711yescharacteristic
1257C22×C4C24×C10711yescharacteristic
1258C22×C4C24×C10711yescharacteristic
1259C22×C4C24×C10711yescharacteristic
1260C22×C4C24×C10711yescharacteristic
1261C22×C4C24×C10711yescharacteristic
1262C22×C4C24×C10711yescharacteristic
1263C22×C4C24×C10711yescharacteristic
1264C22×C4C24×C10711yescharacteristic
1265C22×C4C24×C10711yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
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⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
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⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C42—22no—
1345C42—22no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C42—41no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—82no—
1396C23—82no—
1397C23—82no—
1398C23—82no—
1399C23C2×#41×C10712yes—
1400C23H(5,𝔽2)×C10712yes—
1401C23H(5,𝔽2)×C10712yes—
1402C23C25×C10711yescharacteristic
1403Q8—44no—
1404Q8—82no—
1405D4—44no—
1406D4—44no—
1407D4—44no—
1408D4—44no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—82no—
1415D4—82no—
1416D4—82no—
1417C2×C4—28no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
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—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—82no—
1498C2×C4C2×#41×C10712yes—
1499C2×C4C2×#41×C10712yes—
1500C2×C4H(5,𝔽2)×C10712yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—88no—
1543C22#538×C10714yes—
1544C22C22×#41×C10711yescharacteristic
1545C22C2×H(5,𝔽2)×C10711yescharacteristic
1546C22C2×H(5,𝔽2)×C10711yescharacteristic
1547C22C2×H(5,𝔽2)×C10711yescharacteristic
1548C22#585×C10711yescharacteristic
1549C22#585×C10711yescharacteristic
1550C22#585×C10711yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C2—24no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—81no—
1581C2—81no—
1582C2C2×#538×C10711yescharacteristic
1583C2C107×#349311yescharacteristic
1584C2C107×#350611yescharacteristic
1585C2C107×#353411yescharacteristic
1586C2C107×#354211yescharacteristic
1587C2C107×#354511yescharacteristic
1588C2C107×#356011yescharacteristic
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. C107×#2852C2semidirect
2. C107×#2850C2semidirect
3. C107×#2808C2semidirect
4. C107×#2803C2semidirect
5. C107×#2803C2semidirect
6. C107×#2786C2semidirect
7. C107×#2781C2semidirect
8. C107×#2779C2semidirect
9. C107×#2778C2semidirect
10. C107×#2775C2semidirect
11. C107×#2759C2semidirect
12. C107×#2756C2semidirect
13. C107×#2756C2semidirect
14. C107×#2751C2semidirect
15. C107×#2733C2semidirect
16. C107×#2715C2semidirect
17. C107×#2714C2semidirect
18. C107×#2686C2semidirect
19. C107×#2622C2semidirect
20. C107×#2617C2semidirect
21. C107×#2510C2semidirect
22. C107×#2472C2semidirect
23. C107×#2444C2semidirect
24. C107×#2438C2semidirect
25. C107×#2430C2semidirect
26. C107×#2424C2semidirect
27. C107×#2411C2semidirect
28. C107×#2404C2semidirect
29. C107×#2322C2semidirect
30. C107×#2311C2semidirect
31. C2×#388×C107C2semidirect
33. C2×#126×C107C22semidirect
35. C2×#124×C107C22semidirect
51. #401×C107C22semidirect
52. #400×C107C22semidirect
53. #400×C107C22semidirect
54. #400×C107C22semidirect
55. #398×C107C22semidirect
56. #398×C107C22semidirect
64. #397×C107C22semidirect
65. #397×C107C22semidirect
66. #397×C107C22semidirect
67. #397×C107C22semidirect
71. #395×C107C22semidirect
72. #395×C107C22semidirect
87. #394×C107C22semidirect
88. #394×C107C22semidirect
92. #393×C107C22semidirect
98. #392×C107C22semidirect
99. #391×C107C22semidirect
100. #391×C107C22semidirect
101. #391×C107C22semidirect
102. #391×C107C22semidirect
107. #390×C107C22semidirect
108. #390×C107C22semidirect
109. #390×C107C22semidirect
110. #389×C107C22semidirect
111. #389×C107C22semidirect
112. #389×C107C22semidirect
126. #388×C107C22semidirect
127. #388×C107C22semidirect
128. #388×C107C22semidirect
129. #388×C107C22semidirect
130. #388×C107C22semidirect
131. #388×C107C22semidirect
132. #388×C107C22semidirect
133. #388×C107C22semidirect
134. #388×C107C22semidirect
135. #388×C107C22semidirect
136. #388×C107C22semidirect
137. #388×C107C22semidirect
138. #387×C107C22semidirect
139. #387×C107C22semidirect
140. #387×C107C22semidirect
141. #387×C107C22semidirect
142. #387×C107C22semidirect
143. #387×C107C22semidirect
144. #387×C107C22semidirect
145. #387×C107C22semidirect
146. #387×C107C22semidirect
162. #386×C107C22semidirect
163. #386×C107C22semidirect
164. #386×C107C22semidirect
169. #385×C107C22semidirect
170. #385×C107C22semidirect
171. #385×C107C22semidirect
172. #385×C107C22semidirect
173. #383×C107C22semidirect
174. #383×C107C22semidirect
175. #382×C107C22semidirect
177. #381×C107C22semidirect
179. #380×C107C22semidirect
180. #380×C107C22semidirect
181. #380×C107C22semidirect
182. #380×C107C22semidirect
781. #36795C107direct (N × H)
795. #2852C2×C107semidirect
796. #2850C2×C107semidirect
797. #2808C2×C107semidirect
798. #2803C2×C107semidirect
799. #2803C2×C107semidirect
800. #2786C2×C107semidirect
801. #2781C2×C107semidirect
802. #2779C2×C107semidirect
803. #2778C2×C107semidirect
804. #2775C2×C107semidirect
805. #2759C2×C107semidirect
806. #2756C2×C107semidirect
807. #2756C2×C107semidirect
808. #2751C2×C107semidirect
809. #2733C2×C107semidirect
810. #2715C2×C107semidirect
811. #2714C2×C107semidirect
812. #2686C2×C107semidirect
813. #2622C2×C107semidirect
814. #2617C2×C107semidirect
815. #2510C2×C107semidirect
816. #2472C2×C107semidirect
817. #2444C2×C107semidirect
818. #2438C2×C107semidirect
819. #2430C2×C107semidirect
820. #2424C2×C107semidirect
821. #2411C2×C107semidirect
822. #2404C2×C107semidirect
823. #2322C2×C107semidirect
824. #2311C2×C107semidirect
825. C2×#388C2×C107semidirect
826. C107#36795direct (N × H)
828. C2×#126C22×C107semidirect
830. C2×#124C22×C107semidirect
846. #401C22×C107semidirect
847. #400C22×C107semidirect
848. #400C22×C107semidirect
849. #400C22×C107semidirect
850. #398C22×C107semidirect
851. #398C22×C107semidirect
859. #397C22×C107semidirect
860. #397C22×C107semidirect
861. #397C22×C107semidirect
862. #397C22×C107semidirect
866. #395C22×C107semidirect
867. #395C22×C107semidirect
882. #394C22×C107semidirect
883. #394C22×C107semidirect
887. #393C22×C107semidirect
893. #392C22×C107semidirect
894. #391C22×C107semidirect
895. #391C22×C107semidirect
896. #391C22×C107semidirect
897. #391C22×C107semidirect
902. #390C22×C107semidirect
903. #390C22×C107semidirect
904. #390C22×C107semidirect
905. #389C22×C107semidirect
906. #389C22×C107semidirect
907. #389C22×C107semidirect
921. #388C22×C107semidirect
922. #388C22×C107semidirect
923. #388C22×C107semidirect
924. #388C22×C107semidirect
925. #388C22×C107semidirect
926. #388C22×C107semidirect
927. #388C22×C107semidirect
928. #388C22×C107semidirect
929. #388C22×C107semidirect
930. #388C22×C107semidirect
931. #388C22×C107semidirect
932. #388C22×C107semidirect
933. #387C22×C107semidirect
934. #387C22×C107semidirect
935. #387C22×C107semidirect
936. #387C22×C107semidirect
937. #387C22×C107semidirect
938. #387C22×C107semidirect
939. #387C22×C107semidirect
940. #387C22×C107semidirect
941. #387C22×C107semidirect
957. #386C22×C107semidirect
958. #386C22×C107semidirect
959. #386C22×C107semidirect
964. #385C22×C107semidirect
965. #385C22×C107semidirect
966. #385C22×C107semidirect
967. #385C22×C107semidirect
968. #383C22×C107semidirect
969. #383C22×C107semidirect
970. #382C22×C107semidirect
972. #381C22×C107semidirect
974. #380C22×C107semidirect
975. #380C22×C107semidirect
976. #380C22×C107semidirect
977. #380C22×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#28522
C107×#28502
C107×#28082
C107×#28032
C107×#27862
C107×#27812
C107×#27792
C107×#27782
C107×#27752
C107×#27592
C107×#27562
C107×#27512
C107×#27332
C107×#27152
C107×#27142
C107×#26862
C107×#26222
C107×#26172
C107×#25102
C107×#24722
C107×#24442
C107×#24382
C107×#24302
C107×#24242
C107×#24112
C107×#24042
C107×#23222
C107×#23112
C2×#388×C1072
#36795107