Finite Group Databasebeta

← C107×#36755 #41062719

Subgroups — C107×#36755 #41062719

Order 27392.

1512 conjugacy classes of subgroups.

The subgroup lattice has 1338 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#2855C211yesmaximal, characteristic, complemented
2C107×#2851C211yesmaximal, characteristic, complemented
3C107×#2805C211yesmaximal, characteristic, complemented
4C107×#2804C211yesmaximal, characteristic
5C107×#2790C211yesmaximal, characteristic, complemented
6C107×#2788C211yesmaximal, characteristic, complemented
7C107×#2788C211yesmaximal, characteristic, complemented
8C107×#2784C211yesmaximal, characteristic
9C107×#2780C211yesmaximal, characteristic
10C107×#2774C211yesmaximal, characteristic, complemented
11C107×#2763C211yesmaximal, characteristic, complemented
12C107×#2763C211yesmaximal, characteristic, complemented
13C107×#2755C211yesmaximal, characteristic, complemented
14C107×#2742C211yesmaximal, characteristic, complemented
15C107×#2729C211yesmaximal, characteristic, complemented
16C107×#2720C211yesmaximal, characteristic, complemented
17C107×#2713C211yesmaximal, characteristic, complemented
18C107×#2692C211yesmaximal, characteristic
19C107×#2665C211yesmaximal, characteristic, complemented
20C107×#2665C211yesmaximal, characteristic, complemented
21C107×#2612C211yesmaximal, characteristic, complemented
22C107×#2607C211yesmaximal, characteristic, complemented
23C107×#2605C211yesmaximal, characteristic, complemented
24C107×#2605C211yesmaximal, characteristic, complemented
25C107×#2570C211yesmaximal, characteristic, complemented
26C107×#2569C211yesmaximal, characteristic, complemented
27C107×#2439C211yesmaximal, characteristic, complemented
28C107×#2438C211yesmaximal, characteristic, complemented
29C107×#2319C211yesmaximal, characteristic
30C107×#2318C211yesmaximal, characteristic
31C107×#2290C211yesmaximal, characteristic
32C2×C4⋊Q8×C107C2211yescharacteristic
33C2×#125×C107C2211yescharacteristic
34C2×C22⋊Q8×C107C2211yescharacteristic
35C2×C22⋊Q8×C107C2211yescharacteristic
36C2×C4×D4×C107C2211yescharacteristic
37C2×#117×C107C2211yescharacteristic
38C22×C42×C107C2211yescharacteristic
39#400×C107C2211yescharacteristic
40#400×C107C2211yescharacteristic
41#400×C107C2211yescharacteristic
42#400×C107C2211yescharacteristic
43#400×C107C2211yescharacteristic
44#400×C107C2211yescharacteristic
45#400×C107C2211yescharacteristic
46#400×C107C2211yescharacteristic
47#400×C107C2211yescharacteristic
48#400×C107C2211yescharacteristic
49#400×C107C2211yescharacteristic
50#400×C107C2211yescharacteristic
51#400×C107C2211yescharacteristic
52#400×C107C2211yescharacteristic
53#399×C107C2211yescharacteristic
54#399×C107C2211yescharacteristic
55#398×C107C2211yescharacteristic
56#398×C107C2211yescharacteristic
57#398×C107C2211yescharacteristic
58#398×C107C2211yescharacteristic
59#398×C107C2211yescharacteristic
60#398×C107C2211yescharacteristic
61#398×C107C2211yescharacteristic
62#398×C107C2211yescharacteristic
63#396×C107C2211yescharacteristic
64#396×C107C2211yescharacteristic
65#396×C107C2211yescharacteristic
66#396×C107C2211yescharacteristic
67#396×C107C2211yescharacteristic
68#396×C107C2211yescharacteristic
69#395×C107C2211yescharacteristic
70#395×C107C2211yescharacteristic
71#395×C107C2211yescharacteristic
72#395×C107C2211yescharacteristic
73#395×C107C2211yescharacteristic
74#395×C107C2211yescharacteristic
75#395×C107C2211yescharacteristic
76#395×C107C2211yescharacteristic
77#395×C107C2211yescharacteristic
78#395×C107C2211yescharacteristic
79#393×C107C2211yescharacteristic
80#393×C107C2211yescharacteristic
81#393×C107C2211yescharacteristic
82#393×C107C2211yescharacteristic
83#393×C107C2211yescharacteristic
84#393×C107C2211yescharacteristic
85#393×C107C2211yescharacteristic
86#393×C107C2211yescharacteristic
87#391×C107C2211yescharacteristic
88#391×C107C2211yescharacteristic
89#391×C107C2211yescharacteristic
90#391×C107C2211yescharacteristic
91#391×C107C2211yescharacteristic
92#391×C107C2211yescharacteristic
93#391×C107C2211yescharacteristic
94#391×C107C2211yescharacteristic
95#391×C107C2211yescharacteristic
96#391×C107C2211yescharacteristic
97#391×C107C2211yescharacteristic
98#391×C107C2211yescharacteristic
99#391×C107C2211yescharacteristic
100#390×C107C2211yescharacteristic
101#390×C107C2211yescharacteristic
102#389×C107C2211yescharacteristic
103#389×C107C2211yescharacteristic
104#389×C107C2211yescharacteristic
105#389×C107C2211yescharacteristic
106#389×C107C2211yescharacteristic
107#389×C107C2211yescharacteristic
108#389×C107C2211yescharacteristic
109#389×C107C2211yescharacteristic
110#389×C107C2211yescharacteristic
111#389×C107C2211yescharacteristic
112#389×C107C2211yescharacteristic
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#387×C107C2211yescharacteristic
122#387×C107C2211yescharacteristic
123#387×C107C2211yescharacteristic
124#387×C107C2211yescharacteristic
125#387×C107C2211yescharacteristic
126#387×C107C2211yescharacteristic
127#387×C107C2211yescharacteristic
128#387×C107C2211yescharacteristic
129#387×C107C2211yescharacteristic
130#387×C107C2211yescharacteristic
131#387×C107C2211yescharacteristic
132#387×C107C2211yescharacteristic
133#387×C107C2211yescharacteristic
134#387×C107C2211yescharacteristic
135#387×C107C2211yescharacteristic
136#387×C107C2211yescharacteristic
137#387×C107C2211yescharacteristic
138#387×C107C2211yescharacteristic
139#387×C107C2211yescharacteristic
140#387×C107C2211yescharacteristic
141#387×C107C2211yescharacteristic
142#387×C107C2211yescharacteristic
143#387×C107C2211yescharacteristic
144#387×C107C2211yescharacteristic
145#386×C107C2211yescharacteristic
146#386×C107C2211yescharacteristic
147#386×C107C2211yescharacteristic
148#386×C107C2211yescharacteristic
149#385×C107C2211yescharacteristic
150#385×C107C2211yescharacteristic
151#385×C107C2211yescharacteristic
152#385×C107C2211yescharacteristic
153#385×C107C2211yescharacteristic
154#385×C107C2211yescharacteristic
155#385×C107C2211yescharacteristic
156#385×C107C2211yescharacteristic
157#385×C107C2211yescharacteristic
158#385×C107C2211yescharacteristic
159#385×C107C2211yescharacteristic
160#385×C107C2211yescharacteristic
161#385×C107C2211yescharacteristic
162#385×C107C2211yescharacteristic
163#384×C107C2211yescharacteristic
164#383×C107C2211yescharacteristic
165#382×C107C2211yescharacteristic
166#382×C107C2211yescharacteristic
167#382×C107C2211yescharacteristic
168#382×C107C2211yescharacteristic
169#381×C107C2211yescharacteristic
170#381×C107C2211yescharacteristic
171#381×C107C2211yescharacteristic
172#380×C107C2211yescharacteristic
173#380×C107C2211yescharacteristic
174#380×C107C2211yescharacteristic
175#380×C107C2211yescharacteristic
176#380×C107C2211yescharacteristic
177#380×C107C2211yescharacteristic
178#380×C107C2211yescharacteristic
179C4×C4⋊C4×C107C2211yescharacteristic
180C4×C4⋊C4×C107C2211yescharacteristic
181C4×C22⋊C4×C107C2211yescharacteristic
182C4×C22⋊C4×C107C2211yescharacteristic
183C4×C22⋊C4×C107C2211yescharacteristic
184#376×C107C2211yescharacteristic
185#376×C107C2211yescharacteristic
186C2×#95×C107C2211yescharacteristic
187C22×Q8×C107C2311yescharacteristic
188C22×Q8×C107C2311yescharacteristic
189C22×Q8×C107C2311yescharacteristic
190C22×Q8×C107C2311yescharacteristic
191C22×Q8×C107C2311yescharacteristic
192C22×D4×C107C2311yescharacteristic
193C23×C4×C107C2311yescharacteristic
194C23×C4×C107C2311yescharacteristic
195C23×C4×C107C2311yescharacteristic
196C23×C4×C107C2311yescharacteristic
197C23×C4×C107C2311yescharacteristic
198C23×C4×C107C2311yescharacteristic
199C4⋊Q8×C107—42no—
200#125×C107—42no—
201C22⋊Q8×C107—42no—
202C22⋊Q8×C107—42no—
203C4×D4×C107Q818yescomplemented
204#117×C107—42no—
205C2×C4⋊C4×C107C2311yescharacteristic
206C2×C4⋊C4×C107C2311yescharacteristic
207C2×C4⋊C4×C107C2311yescharacteristic
208C2×C4⋊C4×C107C2311yescharacteristic
209C2×C4⋊C4×C107C2311yescharacteristic
210C2×C4⋊C4×C107C2311yescharacteristic
211C2×C4⋊C4×C107C2311yescharacteristic
212C2×C4⋊C4×C107C2311yescharacteristic
213C2×C4⋊C4×C107C2311yescharacteristic
214C2×C4⋊C4×C107C2311yescharacteristic
215C2×C4⋊C4×C107C2311yescharacteristic
216C2×C4⋊C4×C107C2311yescharacteristic
217C2×C4⋊C4×C107C2311yescharacteristic
218C2×C4⋊C4×C107C2311yescharacteristic
219C2×C4⋊C4×C107C2311yescharacteristic
220C2×C4⋊C4×C107C2311yescharacteristic
221C2×C4⋊C4×C107C2311yescharacteristic
222C2×C4⋊C4×C107C2311yescharacteristic
223C2×C4⋊C4×C107C2311yescharacteristic
224C2×C4⋊C4×C107C2311yescharacteristic
225C2×C4⋊C4×C107C2311yescharacteristic
226C2×C4⋊C4×C107C2311yescharacteristic
227C2×C4⋊C4×C107C2311yescharacteristic
228C2×C4⋊C4×C107C2311yescharacteristic
229C2×C4⋊C4×C107C2311yescharacteristic
230C2×C4⋊C4×C107C2311yescharacteristic
231C2×C4⋊C4×C107C2311yescharacteristic
232C2×C4⋊C4×C107C2311yescharacteristic
233C2×C4⋊C4×C107C2311yescharacteristic
234C2×C4⋊C4×C107C2311yescharacteristic
235C2×C4⋊C4×C107C2311yescharacteristic
236C2×C4⋊C4×C107C2311yescharacteristic
237C2×C4⋊C4×C107C2311yescharacteristic
238C2×C4⋊C4×C107C2311yescharacteristic
239C2×C4⋊C4×C107C2311yescharacteristic
240C2×C4⋊C4×C107C2311yescharacteristic
241C2×C4⋊C4×C107C2311yescharacteristic
242C2×C4⋊C4×C107C2311yescharacteristic
243C2×C4⋊C4×C107C2311yescharacteristic
244C2×C4⋊C4×C107C2311yescharacteristic
245C2×C4⋊C4×C107C2311yescharacteristic
246C2×C4⋊C4×C107C2311yescharacteristic
247C2×C4⋊C4×C107C2311yescharacteristic
248C2×C4⋊C4×C107C2311yescharacteristic
249C2×C22⋊C4×C107C2311yescharacteristic
250C2×C22⋊C4×C107C2311yescharacteristic
251C2×C22⋊C4×C107C2311yescharacteristic
252C2×C22⋊C4×C107C2311yescharacteristic
253C2×C22⋊C4×C107C2311yescharacteristic
254C2×C22⋊C4×C107C2311yescharacteristic
255C2×C22⋊C4×C107C2311yescharacteristic
256C2×C22⋊C4×C107C2311yescharacteristic
257C2×C22⋊C4×C107C2311yescharacteristic
258C2×C22⋊C4×C107C2311yescharacteristic
259C2×C22⋊C4×C107C2311yescharacteristic
260C2×C22⋊C4×C107C2311yescharacteristic
261C2×C22⋊C4×C107C2311yescharacteristic
262C2×C22⋊C4×C107C2311yescharacteristic
263C2×C22⋊C4×C107C2311yescharacteristic
264C2×C22⋊C4×C107C2311yescharacteristic
265C2×C22⋊C4×C107C2311yescharacteristic
266C2×C22⋊C4×C107C2311yescharacteristic
267C2×C22⋊C4×C107C2311yescharacteristic
268C2×C22⋊C4×C107C2311yescharacteristic
269C2×C22⋊C4×C107C2311yescharacteristic
270C2×C22⋊C4×C107C2311yescharacteristic
271C2×C42×C107—42no—
272C2×C42×C107C2311yescharacteristic
273C2×C42×C107C2311yescharacteristic
274C2×C42×C107C2311yescharacteristic
275C2×C42×C107C2311yescharacteristic
276C2×C42×C107C2311yescharacteristic
277C2×C42×C107C2311yescharacteristic
278C2×C42×C107C2311yescharacteristic
279C2×C42×C107C2311yescharacteristic
280C2×C42×C107C2311yescharacteristic
281C2×C42×C107C2311yescharacteristic
282C2×C42×C107C2311yescharacteristic
283C2×C42×C107C2311yescharacteristic
284C2×C42×C107C2311yescharacteristic
285#95×C107C2311yescharacteristic
286#95×C107C2311yescharacteristic
287#95×C107C2311yescharacteristic
288#95×C107C2311yescharacteristic
289#95×C107C2311yescharacteristic
290#95×C107C2311yescharacteristic
291#95×C107C2311yescharacteristic
292#95×C107C2311yescharacteristic
293#95×C107C2311yescharacteristic
294#95×C107C2311yescharacteristic
295#95×C107C2311yescharacteristic
296#95×C107C2311yescharacteristic
297#95×C107C2311yescharacteristic
298#95×C107C2311yescharacteristic
299#95×C107C2311yescharacteristic
300#95×C107C2311yescharacteristic
301#95×C107C2311yescharacteristic
302#95×C107C2311yescharacteristic
303#95×C107C2311yescharacteristic
304#95×C107C2311yescharacteristic
305#95×C107C2311yescharacteristic
306#95×C107C2311yescharacteristic
307#95×C107C2311yescharacteristic
308#95×C107C2311yescharacteristic
309#95×C107C2311yescharacteristic
310#95×C107C2311yescharacteristic
311#95×C107C2311yescharacteristic
312#95×C107C2311yescharacteristic
313#95×C107C2311yescharacteristic
314#95×C107C2311yescharacteristic
315#95×C107C2311yescharacteristic
316#95×C107C2311yescharacteristic
317#95×C107C2311yescharacteristic
318#95×C107C2311yescharacteristic
319#95×C107C2311yescharacteristic
320#95×C107C2311yescharacteristic
321#95×C107C2311yescharacteristic
322#95×C107C2311yescharacteristic
323#95×C107C2311yescharacteristic
324#95×C107C2311yescharacteristic
325#95×C107C2311yescharacteristic
326#95×C107C2311yescharacteristic
327#95×C107C2311yescharacteristic
328#95×C107C2311yescharacteristic
329#95×C107C2311yescharacteristic
330#95×C107C2311yescharacteristic
331#95×C107C2311yescharacteristic
332#95×C107C2311yescharacteristic
333#95×C107C2311yescharacteristic
334#95×C107C2311yescharacteristic
335#95×C107C2311yescharacteristic
336#95×C107C2311yescharacteristic
337#95×C107C2311yescharacteristic
338#95×C107C2311yescharacteristic
339#95×C107C2311yescharacteristic
340#95×C107C2311yescharacteristic
341#95×C107C2311yescharacteristic
342#95×C107C2311yescharacteristic
343#95×C107C2311yescharacteristic
344#95×C107C2311yescharacteristic
345#95×C107C2311yescharacteristic
346#95×C107C2311yescharacteristic
347#95×C107C2311yescharacteristic
348#95×C107C2311yescharacteristic
349C24×C107C2411yescharacteristic
350C24×C107C2411yescharacteristic
351C2×Q8×C107—22no—
352C2×Q8×C107—41no—
353C2×Q8×C107—41no—
354C2×Q8×C107—41no—
355C2×Q8×C107—41no—
356C2×Q8×C107—41no—
357C2×Q8×C107—41no—
358C2×Q8×C107—41no—
359C2×Q8×C107—41no—
360C2×Q8×C107—41no—
361C2×Q8×C107—41no—
362C2×Q8×C107—41no—
363C2×Q8×C107—41no—
364C2×Q8×C107—41no—
365C2×Q8×C107—41no—
366C2×D4×C107—41no—
367C2×D4×C107—41no—
368C2×D4×C107C2×Q814yes—
369C22×C4×C107—22no—
370C22×C4×C107—41no—
371C22×C4×C107—41no—
372C22×C4×C107—41no—
373C22×C4×C107—41no—
374C22×C4×C107—41no—
375C22×C4×C107—41no—
376C22×C4×C107—41no—
377C22×C4×C107—41no—
378C22×C4×C107—41no—
379C22×C4×C107—41no—
380C22×C4×C107—41no—
381C22×C4×C107—41no—
382C22×C4×C107—41no—
383C22×C4×C107—41no—
384C22×C4×C107—41no—
385C22×C4×C107C2×Q814yes—
386C22×C4×C107C2×Q814yes—
387C22×C4×C107C2411yescharacteristic
388C22×C4×C107C2411yescharacteristic
389C22×C4×C107C2411yescharacteristic
390C22×C4×C107C2411yescharacteristic
391C22×C4×C107C2411yescharacteristic
392C22×C4×C107C2411yescharacteristic
393C22×C4×C107C2411yescharacteristic
394C22×C4×C107C2411yescharacteristic
395C22×C4×C107C2411yescharacteristic
396C22×C4×C107C2411yescharacteristic
397C22×C4×C107C2411yescharacteristic
398C22×C4×C107C2411yescharacteristic
399C22×C4×C107C2411yescharacteristic
400C22×C4×C107C2411yescharacteristic
401C22×C4×C107C2411yescharacteristic
402C22×C4×C107C2411yescharacteristic
403C22×C4×C107C2411yescharacteristic
404C22×C4×C107C2411yescharacteristic
405C22×C4×C107C2411yescharacteristic
406C22×C4×C107C2411yescharacteristic
407C22×C4×C107C2411yescharacteristic
408C22×C4×C107C2411yescharacteristic
409C22×C4×C107C2411yescharacteristic
410C22×C4×C107C2411yescharacteristic
411C22×C4×C107C2411yescharacteristic
412C22×C4×C107C2411yescharacteristic
413C22×C4×C107C2411yescharacteristic
414C22×C4×C107C2411yescharacteristic
415C22×C4×C107C2411yescharacteristic
416C4⋊C4×C107—22no—
417C4⋊C4×C107—22no—
418C4⋊C4×C107—22no—
419C4⋊C4×C107—22no—
420C4⋊C4×C107—41no—
421C4⋊C4×C107—41no—
422C4⋊C4×C107—41no—
423C4⋊C4×C107—41no—
424C4⋊C4×C107—41no—
425C4⋊C4×C107—41no—
426C4⋊C4×C107—41no—
427C4⋊C4×C107—41no—
428C4⋊C4×C107—41no—
429C4⋊C4×C107—41no—
430C4⋊C4×C107—41no—
431C4⋊C4×C107—41no—
432C4⋊C4×C107—41no—
433C4⋊C4×C107—41no—
434C4⋊C4×C107—41no—
435C4⋊C4×C107—41no—
436C4⋊C4×C107—41no—
437C4⋊C4×C107—41no—
438C4⋊C4×C107—41no—
439C4⋊C4×C107—41no—
440C4⋊C4×C107—41no—
441C4⋊C4×C107—41no—
442C4⋊C4×C107—41no—
443C4⋊C4×C107—41no—
444C4⋊C4×C107—41no—
445C4⋊C4×C107—41no—
446C4⋊C4×C107—41no—
447C4⋊C4×C107—41no—
448C4⋊C4×C107—41no—
449C4⋊C4×C107—41no—
450C4⋊C4×C107—41no—
451C4⋊C4×C107—41no—
452C4⋊C4×C107—41no—
453C4⋊C4×C107—41no—
454C4⋊C4×C107—41no—
455C4⋊C4×C107—41no—
456C4⋊C4×C107—41no—
457C4⋊C4×C107—41no—
458C4⋊C4×C107—41no—
459C4⋊C4×C107C2×Q814yes—
460C22⋊C4×C107—22no—
461C22⋊C4×C107—41no—
462C22⋊C4×C107—41no—
463C22⋊C4×C107—41no—
464C22⋊C4×C107—41no—
465C22⋊C4×C107—41no—
466C22⋊C4×C107—41no—
467C22⋊C4×C107—41no—
468C22⋊C4×C107—41no—
469C22⋊C4×C107—41no—
470C22⋊C4×C107—41no—
471C22⋊C4×C107—41no—
472C22⋊C4×C107—41no—
473C22⋊C4×C107—41no—
474C22⋊C4×C107—41no—
475C22⋊C4×C107—41no—
476C22⋊C4×C107—41no—
477C22⋊C4×C107—41no—
478C22⋊C4×C107—41no—
479C22⋊C4×C107—41no—
480C22⋊C4×C107C2×Q814yes—
481C22⋊C4×C107C2×Q814yes—
482C42×C107—22no—
483C42×C107—22no—
484C42×C107—41no—
485C42×C107—41no—
486C42×C107—41no—
487C42×C107—41no—
488C42×C107—41no—
489C42×C107—41no—
490C42×C107—41no—
491C42×C107—41no—
492C42×C107—41no—
493C42×C107—41no—
494C42×C107C2×Q814yes—
495C23×C107—21no—
496C23×C107—21no—
497C23×C107—21no—
498C23×C107—21no—
499C23×C107—21no—
500C23×C107—21no—
501C23×C107—21no—
502C23×C107—21no—
503C23×C107—21no—
504C23×C107—21no—
505C23×C107—21no—
506C23×C107—21no—
507C23×C107C22×Q812yes—
508C23×C107C22×Q812yes—
509C23×C107C2511yescharacteristic
510Q8×C107—82no—
511Q8×C107—82no—
512Q8×C107—82no—
513Q8×C107—82no—
514Q8×C107—82no—
515D4×C107—44no—
516C2×C4×C107—21no—
517C2×C4×C107—21no—
518C2×C4×C107—21no—
519C2×C4×C107—21no—
520C2×C4×C107—21no—
521C2×C4×C107—21no—
522C2×C4×C107—21no—
523C2×C4×C107—21no—
524C2×C4×C107—21no—
525C2×C4×C107—21no—
526C2×C4×C107—21no—
527C2×C4×C107—21no—
528C2×C4×C107—21no—
529C2×C4×C107—21no—
530C2×C4×C107—21no—
531C2×C4×C107—21no—
532C2×C4×C107—21no—
533C2×C4×C107—21no—
534C2×C4×C107—21no—
535C2×C4×C107—21no—
536C2×C4×C107—21no—
537C2×C4×C107—21no—
538C2×C4×C107—21no—
539C2×C4×C107—21no—
540C2×C4×C107—21no—
541C2×C4×C107—21no—
542C2×C4×C107—21no—
543C2×C4×C107—21no—
544C2×C4×C107—21no—
545C2×C4×C107—21no—
546C2×C4×C107—21no—
547C2×C4×C107—21no—
548C2×C4×C107—21no—
549C2×C4×C107—21no—
550C2×C4×C107—21no—
551C2×C4×C107—21no—
552C2×C4×C107—21no—
553C2×C4×C107—21no—
554C2×C4×C107—21no—
555C2×C4×C107—21no—
556C2×C4×C107—21no—
557C2×C4×C107—21no—
558C2×C4×C107—21no—
559C2×C4×C107—21no—
560C2×C4×C107—21no—
561C2×C4×C107—21no—
562C2×C4×C107—21no—
563C2×C4×C107—21no—
564C2×C4×C107—21no—
565C2×C4×C107—21no—
566C2×C4×C107—21no—
567C2×C4×C107—21no—
568C2×C4×C107—21no—
569C2×C4×C107—21no—
570C2×C4×C107—21no—
571C2×C4×C107—21no—
572C2×C4×C107—21no—
573C2×C4×C107—21no—
574C2×C4×C107—21no—
575C2×C4×C107—21no—
576C2×C4×C107—21no—
577C2×C4×C107—21no—
578C2×C4×C107—21no—
579C2×C4×C107—21no—
580C2×C4×C107—21no—
581C2×C4×C107—21no—
582C2×C4×C107—21no—
583C2×C4×C107—21no—
584C2×C4×C107—21no—
585C2×C4×C107—21no—
586C2×C4×C107—21no—
587C2×C4×C107—21no—
588C2×C4×C107—21no—
589C2×C4×C107—21no—
590C2×C4×C107—21no—
591C2×C4×C107—21no—
592C2×C4×C107—21no—
593C2×C4×C107—21no—
594C2×C4×C107—21no—
595C2×C4×C107—21no—
596C2×C4×C107—21no—
597C2×C4×C107—44no—
598C2×C4×C107—44no—
599C2×C4×C107—44no—
600C2×C4×C107—44no—
601C2×C4×C107—82no—
602C2×C4×C107—82no—
603C2×C4×C107C22×Q812yes—
604C2×C4×C107C22×Q812yes—
605C2×C4×C107C22×Q812yes—
606C2×C4×C107C22×Q812yes—
607C2×C4×C107C22×Q812yes—
608C2×C4×C107H(5,𝔽2)12yes—
609C22×C107—22no—
610C22×C107—22no—
611C22×C107—22no—
612C22×C107—22no—
613C22×C107—22no—
614C22×C107—22no—
615C22×C107—41no—
616C22×C107—41no—
617C22×C107—41no—
618C22×C107—41no—
619C22×C107—41no—
620C22×C107—41no—
621C22×C107—41no—
622C22×C107—41no—
623C22×C107C23×Q811yescharacteristic
624C22×C107C2×H(5,𝔽2)11yescharacteristic
625C22×C107#58511yescharacteristic
626C22×C107#58511yescharacteristic
627C22×C107#58511yescharacteristic
628C22×C107#58511yescharacteristic
629C22×C107#58511yescharacteristic
630C4×C107—22no—
631C4×C107—22no—
632C4×C107—22no—
633C4×C107—22no—
634C4×C107—22no—
635C4×C107—22no—
636C4×C107—41no—
637C4×C107—41no—
638C4×C107—41no—
639C4×C107—41no—
640C4×C107—41no—
641C4×C107—41no—
642C4×C107—41no—
643C4×C107—41no—
644C4×C107—41no—
645C4×C107—41no—
646C4×C107—41no—
647C4×C107—41no—
648C4×C107—41no—
649C4×C107—41no—
650C4×C107—41no—
651C4×C107—41no—
652C4×C107—41no—
653C4×C107—41no—
654C4×C107—41no—
655C4×C107—41no—
656C4×C107—41no—
657C4×C107—41no—
658C4×C107—41no—
659#36755C10711yesmaximal, characteristic, direct product factor, Sylow
660C2×C107—42no—
661C2×C107—42no—
662C2×C107#345811yescharacteristic
663C2×C107#350111yescharacteristic
664C2×C107#350411yescharacteristic
665C2×C107#353311yescharacteristic
666C2×C107#354011yescharacteristic
667C2×C107#356611yescharacteristic
668C2×C107#356811yescharacteristic
669#2855C2×C10711yescharacteristic, complemented
670#2851C2×C10711yescharacteristic, complemented
671#2805C2×C10711yescharacteristic, complemented
672#2804C2×C10711yescharacteristic
673#2790C2×C10711yescharacteristic, complemented
674#2788C2×C10711yescharacteristic, complemented
675#2788C2×C10711yescharacteristic, complemented
676#2784C2×C10711yescharacteristic
677#2780C2×C10711yescharacteristic
678#2774C2×C10711yescharacteristic, complemented
679#2763C2×C10711yescharacteristic, complemented
680#2763C2×C10711yescharacteristic, complemented
681#2755C2×C10711yescharacteristic, complemented
682#2742C2×C10711yescharacteristic, complemented
683#2729C2×C10711yescharacteristic, complemented
684#2720C2×C10711yescharacteristic, complemented
685#2713C2×C10711yescharacteristic, complemented
686#2692C2×C10711yescharacteristic
687#2665C2×C10711yescharacteristic, complemented
688#2665C2×C10711yescharacteristic, complemented
689#2612C2×C10711yescharacteristic, complemented
690#2607C2×C10711yescharacteristic, complemented
691#2605C2×C10711yescharacteristic, complemented
692#2605C2×C10711yescharacteristic, complemented
693#2570C2×C10711yescharacteristic, complemented
694#2569C2×C10711yescharacteristic, complemented
695#2439C2×C10711yescharacteristic, complemented
696#2438C2×C10711yescharacteristic, complemented
697#2319C2×C10711yescharacteristic
698#2318C2×C10711yescharacteristic
699#2290C2×C10711yescharacteristic
700C107#3675511yescharacteristic, direct product factor, Sylow
701C2×C4⋊Q8C22×C10711yescharacteristic
702C2×#125C22×C10711yescharacteristic
703C2×C22⋊Q8C22×C10711yescharacteristic
704C2×C22⋊Q8C22×C10711yescharacteristic
705C2×C4×D4C22×C10711yescharacteristic
706C2×#117C22×C10711yescharacteristic
707C22×C42C22×C10711yescharacteristic
708#400C22×C10711yescharacteristic
709#400C22×C10711yescharacteristic
710#400C22×C10711yescharacteristic
711#400C22×C10711yescharacteristic
712#400C22×C10711yescharacteristic
713#400C22×C10711yescharacteristic
714#400C22×C10711yescharacteristic
715#400C22×C10711yescharacteristic
716#400C22×C10711yescharacteristic
717#400C22×C10711yescharacteristic
718#400C22×C10711yescharacteristic
719#400C22×C10711yescharacteristic
720#400C22×C10711yescharacteristic
721#400C22×C10711yescharacteristic
722#399C22×C10711yescharacteristic
723#399C22×C10711yescharacteristic
724#398C22×C10711yescharacteristic
725#398C22×C10711yescharacteristic
726#398C22×C10711yescharacteristic
727#398C22×C10711yescharacteristic
728#398C22×C10711yescharacteristic
729#398C22×C10711yescharacteristic
730#398C22×C10711yescharacteristic
731#398C22×C10711yescharacteristic
732#396C22×C10711yescharacteristic
733#396C22×C10711yescharacteristic
734#396C22×C10711yescharacteristic
735#396C22×C10711yescharacteristic
736#396C22×C10711yescharacteristic
737#396C22×C10711yescharacteristic
738#395C22×C10711yescharacteristic
739#395C22×C10711yescharacteristic
740#395C22×C10711yescharacteristic
741#395C22×C10711yescharacteristic
742#395C22×C10711yescharacteristic
743#395C22×C10711yescharacteristic
744#395C22×C10711yescharacteristic
745#395C22×C10711yescharacteristic
746#395C22×C10711yescharacteristic
747#395C22×C10711yescharacteristic
748#393C22×C10711yescharacteristic
749#393C22×C10711yescharacteristic
750#393C22×C10711yescharacteristic
751#393C22×C10711yescharacteristic
752#393C22×C10711yescharacteristic
753#393C22×C10711yescharacteristic
754#393C22×C10711yescharacteristic
755#393C22×C10711yescharacteristic
756#391C22×C10711yescharacteristic
757#391C22×C10711yescharacteristic
758#391C22×C10711yescharacteristic
759#391C22×C10711yescharacteristic
760#391C22×C10711yescharacteristic
761#391C22×C10711yescharacteristic
762#391C22×C10711yescharacteristic
763#391C22×C10711yescharacteristic
764#391C22×C10711yescharacteristic
765#391C22×C10711yescharacteristic
766#391C22×C10711yescharacteristic
767#391C22×C10711yescharacteristic
768#391C22×C10711yescharacteristic
769#390C22×C10711yescharacteristic
770#390C22×C10711yescharacteristic
771#389C22×C10711yescharacteristic
772#389C22×C10711yescharacteristic
773#389C22×C10711yescharacteristic
774#389C22×C10711yescharacteristic
775#389C22×C10711yescharacteristic
776#389C22×C10711yescharacteristic
777#389C22×C10711yescharacteristic
778#389C22×C10711yescharacteristic
779#389C22×C10711yescharacteristic
780#389C22×C10711yescharacteristic
781#389C22×C10711yescharacteristic
782#388C22×C10711yescharacteristic
783#388C22×C10711yescharacteristic
784#388C22×C10711yescharacteristic
785#388C22×C10711yescharacteristic
786#388C22×C10711yescharacteristic
787#388C22×C10711yescharacteristic
788#388C22×C10711yescharacteristic
789#388C22×C10711yescharacteristic
790#387C22×C10711yescharacteristic
791#387C22×C10711yescharacteristic
792#387C22×C10711yescharacteristic
793#387C22×C10711yescharacteristic
794#387C22×C10711yescharacteristic
795#387C22×C10711yescharacteristic
796#387C22×C10711yescharacteristic
797#387C22×C10711yescharacteristic
798#387C22×C10711yescharacteristic
799#387C22×C10711yescharacteristic
800#387C22×C10711yescharacteristic
801#387C22×C10711yescharacteristic
802#387C22×C10711yescharacteristic
803#387C22×C10711yescharacteristic
804#387C22×C10711yescharacteristic
805#387C22×C10711yescharacteristic
806#387C22×C10711yescharacteristic
807#387C22×C10711yescharacteristic
808#387C22×C10711yescharacteristic
809#387C22×C10711yescharacteristic
810#387C22×C10711yescharacteristic
811#387C22×C10711yescharacteristic
812#387C22×C10711yescharacteristic
813#387C22×C10711yescharacteristic
814#386C22×C10711yescharacteristic
815#386C22×C10711yescharacteristic
816#386C22×C10711yescharacteristic
817#386C22×C10711yescharacteristic
818#385C22×C10711yescharacteristic
819#385C22×C10711yescharacteristic
820#385C22×C10711yescharacteristic
821#385C22×C10711yescharacteristic
822#385C22×C10711yescharacteristic
823#385C22×C10711yescharacteristic
824#385C22×C10711yescharacteristic
825#385C22×C10711yescharacteristic
826#385C22×C10711yescharacteristic
827#385C22×C10711yescharacteristic
828#385C22×C10711yescharacteristic
829#385C22×C10711yescharacteristic
830#385C22×C10711yescharacteristic
831#385C22×C10711yescharacteristic
832#384C22×C10711yescharacteristic
833#383C22×C10711yescharacteristic
834#382C22×C10711yescharacteristic
835#382C22×C10711yescharacteristic
836#382C22×C10711yescharacteristic
837#382C22×C10711yescharacteristic
838#381C22×C10711yescharacteristic
839#381C22×C10711yescharacteristic
840#381C22×C10711yescharacteristic
841#380C22×C10711yescharacteristic
842#380C22×C10711yescharacteristic
843#380C22×C10711yescharacteristic
844#380C22×C10711yescharacteristic
845#380C22×C10711yescharacteristic
846#380C22×C10711yescharacteristic
847#380C22×C10711yescharacteristic
848C4×C4⋊C4C22×C10711yescharacteristic
849C4×C4⋊C4C22×C10711yescharacteristic
850C4×C22⋊C4C22×C10711yescharacteristic
851C4×C22⋊C4C22×C10711yescharacteristic
852C4×C22⋊C4C22×C10711yescharacteristic
853#376C22×C10711yescharacteristic
854#376C22×C10711yescharacteristic
855C2×#95C22×C10711yescharacteristic
856C22×Q8C23×C10711yescharacteristic
857C22×Q8C23×C10711yescharacteristic
858C22×Q8C23×C10711yescharacteristic
859C22×Q8C23×C10711yescharacteristic
860C22×Q8C23×C10711yescharacteristic
861C22×D4C23×C10711yescharacteristic
862C23×C4C23×C10711yescharacteristic
863C23×C4C23×C10711yescharacteristic
864C23×C4C23×C10711yescharacteristic
865C23×C4C23×C10711yescharacteristic
866C23×C4C23×C10711yescharacteristic
867C23×C4C23×C10711yescharacteristic
868C4⋊Q8—42no—
869#125—42no—
870C22⋊Q8—42no—
871C22⋊Q8—42no—
872C4×D4Q8×C10718yescomplemented
873#117—42no—
874C2×C4⋊C4C23×C10711yescharacteristic
875C2×C4⋊C4C23×C10711yescharacteristic
876C2×C4⋊C4C23×C10711yescharacteristic
877C2×C4⋊C4C23×C10711yescharacteristic
878C2×C4⋊C4C23×C10711yescharacteristic
879C2×C4⋊C4C23×C10711yescharacteristic
880C2×C4⋊C4C23×C10711yescharacteristic
881C2×C4⋊C4C23×C10711yescharacteristic
882C2×C4⋊C4C23×C10711yescharacteristic
883C2×C4⋊C4C23×C10711yescharacteristic
884C2×C4⋊C4C23×C10711yescharacteristic
885C2×C4⋊C4C23×C10711yescharacteristic
886C2×C4⋊C4C23×C10711yescharacteristic
887C2×C4⋊C4C23×C10711yescharacteristic
888C2×C4⋊C4C23×C10711yescharacteristic
889C2×C4⋊C4C23×C10711yescharacteristic
890C2×C4⋊C4C23×C10711yescharacteristic
891C2×C4⋊C4C23×C10711yescharacteristic
892C2×C4⋊C4C23×C10711yescharacteristic
893C2×C4⋊C4C23×C10711yescharacteristic
894C2×C4⋊C4C23×C10711yescharacteristic
895C2×C4⋊C4C23×C10711yescharacteristic
896C2×C4⋊C4C23×C10711yescharacteristic
897C2×C4⋊C4C23×C10711yescharacteristic
898C2×C4⋊C4C23×C10711yescharacteristic
899C2×C4⋊C4C23×C10711yescharacteristic
900C2×C4⋊C4C23×C10711yescharacteristic
901C2×C4⋊C4C23×C10711yescharacteristic
902C2×C4⋊C4C23×C10711yescharacteristic
903C2×C4⋊C4C23×C10711yescharacteristic
904C2×C4⋊C4C23×C10711yescharacteristic
905C2×C4⋊C4C23×C10711yescharacteristic
906C2×C4⋊C4C23×C10711yescharacteristic
907C2×C4⋊C4C23×C10711yescharacteristic
908C2×C4⋊C4C23×C10711yescharacteristic
909C2×C4⋊C4C23×C10711yescharacteristic
910C2×C4⋊C4C23×C10711yescharacteristic
911C2×C4⋊C4C23×C10711yescharacteristic
912C2×C4⋊C4C23×C10711yescharacteristic
913C2×C4⋊C4C23×C10711yescharacteristic
914C2×C4⋊C4C23×C10711yescharacteristic
915C2×C4⋊C4C23×C10711yescharacteristic
916C2×C4⋊C4C23×C10711yescharacteristic
917C2×C4⋊C4C23×C10711yescharacteristic
918C2×C22⋊C4C23×C10711yescharacteristic
919C2×C22⋊C4C23×C10711yescharacteristic
920C2×C22⋊C4C23×C10711yescharacteristic
921C2×C22⋊C4C23×C10711yescharacteristic
922C2×C22⋊C4C23×C10711yescharacteristic
923C2×C22⋊C4C23×C10711yescharacteristic
924C2×C22⋊C4C23×C10711yescharacteristic
925C2×C22⋊C4C23×C10711yescharacteristic
926C2×C22⋊C4C23×C10711yescharacteristic
927C2×C22⋊C4C23×C10711yescharacteristic
928C2×C22⋊C4C23×C10711yescharacteristic
929C2×C22⋊C4C23×C10711yescharacteristic
930C2×C22⋊C4C23×C10711yescharacteristic
931C2×C22⋊C4C23×C10711yescharacteristic
932C2×C22⋊C4C23×C10711yescharacteristic
933C2×C22⋊C4C23×C10711yescharacteristic
934C2×C22⋊C4C23×C10711yescharacteristic
935C2×C22⋊C4C23×C10711yescharacteristic
936C2×C22⋊C4C23×C10711yescharacteristic
937C2×C22⋊C4C23×C10711yescharacteristic
938C2×C22⋊C4C23×C10711yescharacteristic
939C2×C22⋊C4C23×C10711yescharacteristic
940C2×C42—42no—
941C2×C42C23×C10711yescharacteristic
942C2×C42C23×C10711yescharacteristic
943C2×C42C23×C10711yescharacteristic
944C2×C42C23×C10711yescharacteristic
945C2×C42C23×C10711yescharacteristic
946C2×C42C23×C10711yescharacteristic
947C2×C42C23×C10711yescharacteristic
948C2×C42C23×C10711yescharacteristic
949C2×C42C23×C10711yescharacteristic
950C2×C42C23×C10711yescharacteristic
951C2×C42C23×C10711yescharacteristic
952C2×C42C23×C10711yescharacteristic
953C2×C42C23×C10711yescharacteristic
954#95C23×C10711yescharacteristic
955#95C23×C10711yescharacteristic
956#95C23×C10711yescharacteristic
957#95C23×C10711yescharacteristic
958#95C23×C10711yescharacteristic
959#95C23×C10711yescharacteristic
960#95C23×C10711yescharacteristic
961#95C23×C10711yescharacteristic
962#95C23×C10711yescharacteristic
963#95C23×C10711yescharacteristic
964#95C23×C10711yescharacteristic
965#95C23×C10711yescharacteristic
966#95C23×C10711yescharacteristic
967#95C23×C10711yescharacteristic
968#95C23×C10711yescharacteristic
969#95C23×C10711yescharacteristic
970#95C23×C10711yescharacteristic
971#95C23×C10711yescharacteristic
972#95C23×C10711yescharacteristic
973#95C23×C10711yescharacteristic
974#95C23×C10711yescharacteristic
975#95C23×C10711yescharacteristic
976#95C23×C10711yescharacteristic
977#95C23×C10711yescharacteristic
978#95C23×C10711yescharacteristic
979#95C23×C10711yescharacteristic
980#95C23×C10711yescharacteristic
981#95C23×C10711yescharacteristic
982#95C23×C10711yescharacteristic
983#95C23×C10711yescharacteristic
984#95C23×C10711yescharacteristic
985#95C23×C10711yescharacteristic
986#95C23×C10711yescharacteristic
987#95C23×C10711yescharacteristic
988#95C23×C10711yescharacteristic
989#95C23×C10711yescharacteristic
990#95C23×C10711yescharacteristic
991#95C23×C10711yescharacteristic
992#95C23×C10711yescharacteristic
993#95C23×C10711yescharacteristic
994#95C23×C10711yescharacteristic
995#95C23×C10711yescharacteristic
996#95C23×C10711yescharacteristic
997#95C23×C10711yescharacteristic
998#95C23×C10711yescharacteristic
999#95C23×C10711yescharacteristic
1000#95C23×C10711yescharacteristic
1001#95C23×C10711yescharacteristic
1002#95C23×C10711yescharacteristic
1003#95C23×C10711yescharacteristic
1004#95C23×C10711yescharacteristic
1005#95C23×C10711yescharacteristic
1006#95C23×C10711yescharacteristic
1007#95C23×C10711yescharacteristic
1008#95C23×C10711yescharacteristic
1009#95C23×C10711yescharacteristic
1010#95C23×C10711yescharacteristic
1011#95C23×C10711yescharacteristic
1012#95C23×C10711yescharacteristic
1013#95C23×C10711yescharacteristic
1014#95C23×C10711yescharacteristic
1015#95C23×C10711yescharacteristic
1016#95C23×C10711yescharacteristic
1017#95C23×C10711yescharacteristic
1018C24C24×C10711yescharacteristic
1019C24C24×C10711yescharacteristic
1020C2×Q8—22no—
1021C2×Q8—41no—
1022C2×Q8—41no—
1023C2×Q8—41no—
1024C2×Q8—41no—
1025C2×Q8—41no—
1026C2×Q8—41no—
1027C2×Q8—41no—
1028C2×Q8—41no—
1029C2×Q8—41no—
1030C2×Q8—41no—
1031C2×Q8—41no—
1032C2×Q8—41no—
1033C2×Q8—41no—
1034C2×Q8—41no—
1035C2×D4—41no—
1036C2×D4—41no—
1037C2×D4C2×Q8×C10714yes—
1038C22×C4—22no—
1039C22×C4—41no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—41no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4—41no—
1054C22×C4C2×Q8×C10714yes—
1055C22×C4C2×Q8×C10714yes—
1056C22×C4C24×C10711yescharacteristic
1057C22×C4C24×C10711yescharacteristic
1058C22×C4C24×C10711yescharacteristic
1059C22×C4C24×C10711yescharacteristic
1060C22×C4C24×C10711yescharacteristic
1061C22×C4C24×C10711yescharacteristic
1062C22×C4C24×C10711yescharacteristic
1063C22×C4C24×C10711yescharacteristic
1064C22×C4C24×C10711yescharacteristic
1065C22×C4C24×C10711yescharacteristic
1066C22×C4C24×C10711yescharacteristic
1067C22×C4C24×C10711yescharacteristic
1068C22×C4C24×C10711yescharacteristic
1069C22×C4C24×C10711yescharacteristic
1070C22×C4C24×C10711yescharacteristic
1071C22×C4C24×C10711yescharacteristic
1072C22×C4C24×C10711yescharacteristic
1073C22×C4C24×C10711yescharacteristic
1074C22×C4C24×C10711yescharacteristic
1075C22×C4C24×C10711yescharacteristic
1076C22×C4C24×C10711yescharacteristic
1077C22×C4C24×C10711yescharacteristic
1078C22×C4C24×C10711yescharacteristic
1079C22×C4C24×C10711yescharacteristic
1080C22×C4C24×C10711yescharacteristic
1081C22×C4C24×C10711yescharacteristic
1082C22×C4C24×C10711yescharacteristic
1083C22×C4C24×C10711yescharacteristic
1084C22×C4C24×C10711yescharacteristic
1085C4⋊C4—22no—
1086C4⋊C4—22no—
1087C4⋊C4—22no—
1088C4⋊C4—22no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—41no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
1102C4⋊C4—41no—
1103C4⋊C4—41no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
1110C4⋊C4—41no—
1111C4⋊C4—41no—
1112C4⋊C4—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—41no—
1120C4⋊C4—41no—
1121C4⋊C4—41no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4C2×Q8×C10714yes—
1129C22⋊C4—22no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—41no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—41no—
1148C22⋊C4—41no—
1149C22⋊C4C2×Q8×C10714yes—
1150C22⋊C4C2×Q8×C10714yes—
1151C42—22no—
1152C42—22no—
1153C42—41no—
1154C42—41no—
1155C42—41no—
1156C42—41no—
1157C42—41no—
1158C42—41no—
1159C42—41no—
1160C42—41no—
1161C42—41no—
1162C42—41no—
1163C42C2×Q8×C10714yes—
1164C23—21no—
1165C23—21no—
1166C23—21no—
1167C23—21no—
1168C23—21no—
1169C23—21no—
1170C23—21no—
1171C23—21no—
1172C23—21no—
1173C23—21no—
1174C23—21no—
1175C23—21no—
1176C23C22×Q8×C10712yes—
1177C23C22×Q8×C10712yes—
1178C23C25×C10711yescharacteristic
1179Q8—82no—
1180Q8—82no—
1181Q8—82no—
1182Q8—82no—
1183Q8—82no—
1184D4—44no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—21no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—44no—
1267C2×C4—44no—
1268C2×C4—44no—
1269C2×C4—44no—
1270C2×C4—82no—
1271C2×C4—82no—
1272C2×C4C22×Q8×C10712yes—
1273C2×C4C22×Q8×C10712yes—
1274C2×C4C22×Q8×C10712yes—
1275C2×C4C22×Q8×C10712yes—
1276C2×C4C22×Q8×C10712yes—
1277C2×C4H(5,𝔽2)×C10712yes—
1278C22—22no—
1279C22—22no—
1280C22—22no—
1281C22—22no—
1282C22—22no—
1283C22—22no—
1284C22—41no—
1285C22—41no—
1286C22—41no—
1287C22—41no—
1288C22—41no—
1289C22—41no—
1290C22—41no—
1291C22—41no—
1292C22C23×Q8×C10711yescharacteristic
1293C22C2×H(5,𝔽2)×C10711yescharacteristic
1294C22#585×C10711yescharacteristic
1295C22#585×C10711yescharacteristic
1296C22#585×C10711yescharacteristic
1297C22#585×C10711yescharacteristic
1298C22#585×C10711yescharacteristic
1299C4—22no—
1300C4—22no—
1301C4—22no—
1302C4—22no—
1303C4—22no—
1304C4—22no—
1305C4—41no—
1306C4—41no—
1307C4—41no—
1308C4—41no—
1309C4—41no—
1310C4—41no—
1311C4—41no—
1312C4—41no—
1313C4—41no—
1314C4—41no—
1315C4—41no—
1316C4—41no—
1317C4—41no—
1318C4—41no—
1319C4—41no—
1320C4—41no—
1321C4—41no—
1322C4—41no—
1323C4—41no—
1324C4—41no—
1325C4—41no—
1326C4—41no—
1327C4—41no—
1328C2—42no—
1329C2—42no—
1330C2C107×#345811yescharacteristic
1331C2C107×#350111yescharacteristic
1332C2C107×#350411yescharacteristic
1333C2C107×#353311yescharacteristic
1334C2C107×#354011yescharacteristic
1335C2C107×#356611yescharacteristic
1336C2C107×#356811yescharacteristic
subgroupG/H
center, socleC23×C107C25
commutator, Frattini, cosocleC23C25×C107
prime radicalC22×D4×C107C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#2855C2semidirect
2. C107×#2851C2semidirect
3. C107×#2805C2semidirect
5. C107×#2790C2semidirect
6. C107×#2788C2semidirect
7. C107×#2788C2semidirect
10. C107×#2774C2semidirect
11. C107×#2763C2semidirect
12. C107×#2763C2semidirect
13. C107×#2755C2semidirect
14. C107×#2742C2semidirect
15. C107×#2729C2semidirect
16. C107×#2720C2semidirect
17. C107×#2713C2semidirect
19. C107×#2665C2semidirect
20. C107×#2665C2semidirect
21. C107×#2612C2semidirect
22. C107×#2607C2semidirect
23. C107×#2605C2semidirect
24. C107×#2605C2semidirect
25. C107×#2570C2semidirect
26. C107×#2569C2semidirect
27. C107×#2439C2semidirect
28. C107×#2438C2semidirect
203. C4×D4×C107Q8semidirect
659. #36755C107direct (N × H)
669. #2855C2×C107semidirect
670. #2851C2×C107semidirect
671. #2805C2×C107semidirect
673. #2790C2×C107semidirect
674. #2788C2×C107semidirect
675. #2788C2×C107semidirect
678. #2774C2×C107semidirect
679. #2763C2×C107semidirect
680. #2763C2×C107semidirect
681. #2755C2×C107semidirect
682. #2742C2×C107semidirect
683. #2729C2×C107semidirect
684. #2720C2×C107semidirect
685. #2713C2×C107semidirect
687. #2665C2×C107semidirect
688. #2665C2×C107semidirect
689. #2612C2×C107semidirect
690. #2607C2×C107semidirect
691. #2605C2×C107semidirect
692. #2605C2×C107semidirect
693. #2570C2×C107semidirect
694. #2569C2×C107semidirect
695. #2439C2×C107semidirect
696. #2438C2×C107semidirect
700. C107#36755direct (N × H)
872. C4×D4Q8×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#28552
C107×#28512
C107×#28052
C107×#28042
C107×#27902
C107×#27882
C107×#27842
C107×#27802
C107×#27742
C107×#27632
C107×#27552
C107×#27422
C107×#27292
C107×#27202
C107×#27132
C107×#26922
C107×#26652
C107×#26122
C107×#26072
C107×#26052
C107×#25702
C107×#25692
C107×#24392
C107×#24382
C107×#23192
C107×#23182
C107×#22902
#36755107