Finite Group Databasebeta

← C7×#36776 #13213992

Subgroups — C7×#36776 #13213992

Order 1792.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2849C211yesmaximal, characteristic, complemented
2C7×#2847C211yesmaximal, characteristic, complemented
3C7×#2778C211yesmaximal, characteristic, complemented
4C7×#2778C211yesmaximal, characteristic, complemented
5C7×#2760C211yesmaximal, characteristic, complemented
6C7×#2750C211yesmaximal, characteristic, complemented
7C7×#2749C211yesmaximal, characteristic, complemented
8C7×#2749C211yesmaximal, characteristic, complemented
9C7×#2743C211yesmaximal, characteristic, complemented
10C7×#2703C211yesmaximal, characteristic, complemented
11C7×#2697C211yesmaximal, characteristic, complemented
12C7×#2696C211yesmaximal, characteristic, complemented
13C7×#2688C211yesmaximal, characteristic, complemented
14C7×#2688C211yesmaximal, characteristic, complemented
15C7×#2684C211yesmaximal, characteristic, complemented
16C7×#2678C211yesmaximal, characteristic, complemented
17C7×#2676C211yesmaximal, characteristic, complemented
18C7×#2668C211yesmaximal, characteristic, complemented
19C7×#2643C211yesmaximal, characteristic, complemented
20C7×#2639C211yesmaximal, characteristic, complemented
21C7×#2510C211yesmaximal, characteristic, complemented
22C7×#2472C211yesmaximal, characteristic, complemented
23C7×#2444C211yesmaximal, characteristic, complemented
24C7×#2437C211yesmaximal, characteristic, complemented
25C7×#2424C211yesmaximal, characteristic, complemented
26C7×#2410C211yesmaximal, characteristic, complemented
27C7×#2410C211yesmaximal, characteristic, complemented
28C7×#2403C211yesmaximal, characteristic, complemented
29C7×#2321C211yesmaximal, characteristic, complemented
30C7×#2308C211yesmaximal, characteristic, complemented
31C2×C7×#386C211yesmaximal, characteristic, complemented
32C23×C7×D4C2211yescharacteristic
33C23×C7×D4C2211yescharacteristic
34C24×C4×C7C2211yescharacteristic, complemented
35C2×C7×#124C2211yescharacteristic, complemented
36C2×C7×#123C2211yescharacteristic, complemented
37C2×C7×#123C2211yescharacteristic, complemented
38C2×C7×C22⋊Q8C2211yescharacteristic, complemented
39C2×C7×C22⋊Q8C2211yescharacteristic, complemented
40C2×C7×#121C2211yescharacteristic
41C2×C7×#121C2211yescharacteristic
42C2×C7×#121C2211yescharacteristic, complemented
43C2×C7×#121C2211yescharacteristic, complemented
44C2×C7×#121C2211yescharacteristic, complemented
45C2×C7×#121C2211yescharacteristic, complemented
46C2×C7×#121C2211yescharacteristic, complemented
47C2×C7×#120C2211yescharacteristic
48C2×C7×#120C2211yescharacteristic
49C2×C7×#120C2211yescharacteristic
50C2×C7×#120C2211yescharacteristic
51C2×C7×#120C2211yescharacteristic
52C2×C7×#120C2211yescharacteristic, complemented
53C2×C7×#120C2211yescharacteristic, complemented
54C2×C4×C7×D4C2211yescharacteristic, complemented
55C22×C7×C22⋊C4C2211yescharacteristic
56C22×C7×C22⋊C4C2211yescharacteristic
57C22×C7×C22⋊C4C2211yescharacteristic
58C22×C7×C22⋊C4C2211yescharacteristic, complemented
59C7×#401C2211yescharacteristic, complemented
60C7×#401C2211yescharacteristic, complemented
61C7×#400C2211yescharacteristic, complemented
62C7×#400C2211yescharacteristic, complemented
63C7×#400C2211yescharacteristic, complemented
64C7×#400C2211yescharacteristic, complemented
65C7×#400C2211yescharacteristic, complemented
66C7×#400C2211yescharacteristic, complemented
67C7×#400C2211yescharacteristic, complemented
68C7×#399C2211yescharacteristic, complemented
69C7×#397C2211yescharacteristic, complemented
70C7×#397C2211yescharacteristic, complemented
71C7×#397C2211yescharacteristic, complemented
72C7×#397C2211yescharacteristic, complemented
73C7×#397C2211yescharacteristic, complemented
74C7×#397C2211yescharacteristic, complemented
75C7×#397C2211yescharacteristic, complemented
76C7×#397C2211yescharacteristic, complemented
77C7×#397C2211yescharacteristic, complemented
78C7×#397C2211yescharacteristic, complemented
79C7×#396C2211yescharacteristic, complemented
80C7×#396C2211yescharacteristic, complemented
81C7×#396C2211yescharacteristic, complemented
82C7×#396C2211yescharacteristic, complemented
83C7×#394C2211yescharacteristic
84C7×#394C2211yescharacteristic
85C7×#394C2211yescharacteristic, complemented
86C7×#394C2211yescharacteristic, complemented
87C7×#394C2211yescharacteristic, complemented
88C7×#394C2211yescharacteristic, complemented
89C7×#394C2211yescharacteristic, complemented
90C7×#394C2211yescharacteristic, complemented
91C7×#394C2211yescharacteristic, complemented
92C7×#394C2211yescharacteristic, complemented
93C7×#394C2211yescharacteristic, complemented
94C7×#393C2211yescharacteristic, complemented
95C7×#393C2211yescharacteristic, complemented
96C7×#393C2211yescharacteristic, complemented
97C7×#393C2211yescharacteristic, complemented
98C7×#392C2211yescharacteristic
99C7×#392C2211yescharacteristic
100C7×#392C2211yescharacteristic
101C7×#392C2211yescharacteristic
102C7×#392C2211yescharacteristic
103C7×#392C2211yescharacteristic
104C7×#392C2211yescharacteristic, complemented
105C7×#392C2211yescharacteristic, complemented
106C7×#392C2211yescharacteristic, complemented
107C7×#390C2211yescharacteristic, complemented
108C7×#390C2211yescharacteristic, complemented
109C7×#390C2211yescharacteristic, complemented
110C7×#390C2211yescharacteristic, complemented
111C7×#388C2211yescharacteristic, complemented
112C7×#388C2211yescharacteristic, complemented
113C7×#388C2211yescharacteristic, complemented
114C7×#388C2211yescharacteristic, complemented
115C7×#388C2211yescharacteristic, complemented
116C7×#388C2211yescharacteristic, complemented
117C7×#388C2211yescharacteristic, complemented
118C7×#388C2211yescharacteristic, complemented
119C7×#388C2211yescharacteristic, complemented
120C7×#388C2211yescharacteristic, complemented
121C7×#387C2211yescharacteristic, complemented
122C7×#387C2211yescharacteristic, complemented
123C7×#386C2211yescharacteristic
124C7×#386C2211yescharacteristic
125C7×#386C2211yescharacteristic
126C7×#386C2211yescharacteristic
127C7×#386C2211yescharacteristic
128C7×#386C2211yescharacteristic
129C7×#386C2211yescharacteristic
130C7×#386C2211yescharacteristic
131C7×#386C2211yescharacteristic
132C7×#386C2211yescharacteristic
133C7×#386C2211yescharacteristic
134C7×#386C2211yescharacteristic
135C7×#386C2211yescharacteristic
136C7×#386C2211yescharacteristic
137C7×#386C2211yescharacteristic, complemented
138C7×#386C2211yescharacteristic, complemented
139C7×#386C2211yescharacteristic, complemented
140C7×#386C2211yescharacteristic, complemented
141C7×#386C2211yescharacteristic, complemented
142C7×#386C2211yescharacteristic, complemented
143C7×#386C2211yescharacteristic, complemented
144C7×#386C2211yescharacteristic, complemented
145C7×#386C2211yescharacteristic, complemented
146C7×#386C2211yescharacteristic, complemented
147C7×#386C2211yescharacteristic, complemented
148C7×#386C2211yescharacteristic, complemented
149C7×#386C2211yescharacteristic, complemented
150C7×#386C2211yescharacteristic, complemented
151C7×#386C2211yescharacteristic, complemented
152C7×#386C2211yescharacteristic, complemented
153C7×#386C2211yescharacteristic, complemented
154C7×#386C2211yescharacteristic, complemented
155C7×#386C2211yescharacteristic, complemented
156C7×#386C2211yescharacteristic, complemented
157C7×#386C2211yescharacteristic, complemented
158C7×#386C2211yescharacteristic, complemented
159C7×#386C2211yescharacteristic, complemented
160C7×#385C2211yescharacteristic, complemented
161C7×#385C2211yescharacteristic, complemented
162C7×#385C2211yescharacteristic, complemented
163C7×#385C2211yescharacteristic, complemented
164C7×#385C2211yescharacteristic, complemented
165C7×#385C2211yescharacteristic, complemented
166C7×#385C2211yescharacteristic, complemented
167C7×#385C2211yescharacteristic, complemented
168C7×#385C2211yescharacteristic, complemented
169C7×#383C2211yescharacteristic, complemented
170C7×#381C2211yescharacteristic, complemented
171C7×#381C2211yescharacteristic, complemented
172C7×#381C2211yescharacteristic, complemented
173C7×#381C2211yescharacteristic, complemented
174C7×#381C2211yescharacteristic, complemented
175C7×#380C2211yescharacteristic, complemented
176C7×#380C2211yescharacteristic, complemented
177C7×#380C2211yescharacteristic, complemented
178C7×#380C2211yescharacteristic, complemented
179C7×#379C2211yescharacteristic
180C7×#379C2211yescharacteristic, complemented
181C7×#379C2211yescharacteristic, complemented
182C7×#379C2211yescharacteristic, complemented
183C7×#379C2211yescharacteristic, complemented
184C4×C7×C22⋊C4C2211yescharacteristic, complemented
185C2×C7×#95C2211yescharacteristic, complemented
186C2×C7×#95C2211yescharacteristic, complemented
187#36776C711yesmaximal, characteristic, direct product factor, Sylow
188C25×C7C2311yescharacteristic
189C25×C7C2311yescharacteristic
190C25×C7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C22×C7×D4—24no—
193C22×C7×D4—24no—
194C22×C7×D4—42no—
195C22×C7×D4—42no—
196C22×C7×D4—42no—
197C22×C7×D4—42no—
198C22×C7×D4C2311yescharacteristic
199C22×C7×D4C2311yescharacteristic
200C22×C7×D4C2311yescharacteristic
201C22×C7×D4C2311yescharacteristic
202C22×C7×D4C2311yescharacteristic
203C22×C7×D4C2311yescharacteristic
204C22×C7×D4C2311yescharacteristic
205C22×C7×D4C2311yescharacteristic
206C22×C7×D4C2311yescharacteristic
207C22×C7×D4C2311yescharacteristic
208C22×C7×D4C2311yescharacteristic
209C22×C7×D4C2311yescharacteristic
210C22×C7×D4C2311yescharacteristic
211C22×C7×D4C2311yescharacteristic
212C22×C7×D4C2311yescharacteristic
213C22×C7×D4C2311yescharacteristic
214C22×C7×D4C2311yescharacteristic
215C22×C7×D4C2311yescharacteristic
216C22×C7×D4C2311yescharacteristic
217C23×C4×C7—42no—
218C23×C4×C7—42no—
219C23×C4×C7—42no—
220C23×C4×C7C2311yescharacteristic
221C23×C4×C7C2311yescharacteristic
222C23×C4×C7C2311yescharacteristic
223C23×C4×C7C2311yescharacteristic
224C23×C4×C7C2311yescharacteristic
225C23×C4×C7C2311yescharacteristic
226C23×C4×C7C2311yescharacteristic
227C23×C4×C7C2311yescharacteristic
228C23×C4×C7C2311yescharacteristic
229C23×C4×C7C2311yescharacteristic
230C23×C4×C7C2311yescharacteristic
231C23×C4×C7C2311yescharacteristic
232C23×C4×C7C2311yescharacteristic
233C7×#124—42no—
234C7×#123—42no—
235C7×#123—42no—
236C7×C22⋊Q8—42no—
237C7×C22⋊Q8—42no—
238C7×#121—42no—
239C7×#121—42no—
240C7×#121—42no—
241C7×#121—42no—
242C7×#121—42no—
243C7×#121—42no—
244C7×#121—42no—
245C7×#120—24no—
246C7×#120—42no—
247C7×#120—42no—
248C7×#120—42no—
249C7×#120—42no—
250C7×#120—42no—
251C7×#120—42no—
252C4×C7×D4—42no—
253C2×C7×C4⋊C4C2311yescharacteristic
254C2×C7×C4⋊C4C2311yescharacteristic
255C2×C7×C4⋊C4C2311yescharacteristic
256C2×C7×C4⋊C4C2311yescharacteristic
257C2×C7×C4⋊C4C2311yescharacteristic
258C2×C7×C4⋊C4C2311yescharacteristic
259C2×C7×C4⋊C4C2311yescharacteristic
260C2×C7×C4⋊C4C2311yescharacteristic
261C2×C7×C4⋊C4C2311yescharacteristic
262C2×C7×C4⋊C4C2311yescharacteristic
263C2×C7×C4⋊C4C2311yescharacteristic
264C2×C7×C4⋊C4C2311yescharacteristic
265C2×C7×C4⋊C4C2311yescharacteristic
266C2×C7×C4⋊C4C2311yescharacteristic
267C2×C7×C4⋊C4C2311yescharacteristic
268C2×C7×C4⋊C4C2311yescharacteristic
269C2×C7×C22⋊C4—42no—
270C2×C7×C22⋊C4—42no—
271C2×C7×C22⋊C4—42no—
272C2×C7×C22⋊C4—42no—
273C2×C7×C22⋊C4C2311yescharacteristic
274C2×C7×C22⋊C4C2311yescharacteristic
275C2×C7×C22⋊C4C2311yescharacteristic
276C2×C7×C22⋊C4C2311yescharacteristic
277C2×C7×C22⋊C4C2311yescharacteristic
278C2×C7×C22⋊C4C2311yescharacteristic
279C2×C7×C22⋊C4C2311yescharacteristic
280C2×C7×C22⋊C4C2311yescharacteristic
281C2×C7×C22⋊C4C2311yescharacteristic
282C2×C7×C22⋊C4C2311yescharacteristic
283C2×C7×C22⋊C4C2311yescharacteristic
284C2×C7×C22⋊C4C2311yescharacteristic
285C2×C7×C22⋊C4C2311yescharacteristic
286C2×C7×C22⋊C4C2311yescharacteristic
287C2×C7×C22⋊C4C2311yescharacteristic
288C2×C7×C22⋊C4C2311yescharacteristic
289C2×C7×C22⋊C4C2311yescharacteristic
290C2×C7×C22⋊C4C2311yescharacteristic
291C2×C7×C22⋊C4C2311yescharacteristic
292C2×C7×C22⋊C4C2311yescharacteristic
293C2×C7×C22⋊C4C2311yescharacteristic
294C2×C7×C22⋊C4C2311yescharacteristic
295C2×C7×C22⋊C4C2311yescharacteristic
296C2×C7×C22⋊C4C2311yescharacteristic
297C2×C7×C22⋊C4C2311yescharacteristic
298C2×C7×C22⋊C4C2311yescharacteristic
299C2×C7×C22⋊C4C2311yescharacteristic
300C2×C7×C22⋊C4C2311yescharacteristic
301C2×C7×C22⋊C4C2311yescharacteristic
302C2×C7×C22⋊C4C2311yescharacteristic
303C2×C7×C22⋊C4C2311yescharacteristic
304C2×C7×C22⋊C4C2311yescharacteristic
305C2×C7×C22⋊C4C2311yescharacteristic
306C2×C7×C22⋊C4C2311yescharacteristic
307C2×C7×C22⋊C4C2311yescharacteristic
308C2×C7×C22⋊C4C2311yescharacteristic
309C2×C7×C22⋊C4C2311yescharacteristic
310C2×C7×C22⋊C4C2311yescharacteristic
311C2×C7×C22⋊C4C2311yescharacteristic
312C2×C7×C22⋊C4C2311yescharacteristic
313C2×C7×C22⋊C4C2311yescharacteristic
314C2×C7×C22⋊C4C2311yescharacteristic
315C2×C7×C22⋊C4C2311yescharacteristic
316C2×C7×C22⋊C4C2311yescharacteristic
317C2×C7×C22⋊C4C2311yescharacteristic
318C2×C7×C22⋊C4C2311yescharacteristic
319C2×C7×C22⋊C4C2311yescharacteristic
320C2×C7×C22⋊C4C2311yescharacteristic
321C2×C7×C22⋊C4C2311yescharacteristic
322C2×C7×C22⋊C4C2311yescharacteristic
323C2×C7×C22⋊C4C2311yescharacteristic
324C2×C7×C22⋊C4C2311yescharacteristic
325C2×C7×C22⋊C4C2311yescharacteristic
326C2×C7×C22⋊C4C2311yescharacteristic
327C2×C7×C22⋊C4C2311yescharacteristic
328C2×C7×C22⋊C4C2311yescharacteristic
329C2×C7×C22⋊C4C2311yescharacteristic
330C2×C7×C22⋊C4C2311yescharacteristic
331C2×C7×C22⋊C4C2311yescharacteristic
332C2×C7×C22⋊C4C2311yescharacteristic
333C2×C42×C7C2311yescharacteristic
334C2×C42×C7C2311yescharacteristic
335C2×C42×C7C2311yescharacteristic
336C7×#95C2311yescharacteristic
337C7×#95C2311yescharacteristic
338C7×#95C2311yescharacteristic
339C7×#95C2311yescharacteristic
340C7×#95C2311yescharacteristic
341C7×#95C2311yescharacteristic
342C7×#95C2311yescharacteristic
343C7×#95C2311yescharacteristic
344C7×#95C2311yescharacteristic
345C7×#95C2311yescharacteristic
346C7×#95C2311yescharacteristic
347C7×#95C2311yescharacteristic
348C7×#95C2311yescharacteristic
349C7×#95C2311yescharacteristic
350C7×#95C2311yescharacteristic
351C7×#95C2311yescharacteristic
352C7×#95C2311yescharacteristic
353C7×#95C2311yescharacteristic
354C7×#95C2311yescharacteristic
355C7×#95C2311yescharacteristic
356C7×#95C2311yescharacteristic
357C7×#95C2311yescharacteristic
358C7×#95C2311yescharacteristic
359C7×#95C2311yescharacteristic
360C7×#95C2311yescharacteristic
361C7×#95C2311yescharacteristic
362C7×#95C2311yescharacteristic
363C7×#95C2311yescharacteristic
364C7×#95C2311yescharacteristic
365C7×#95C2311yescharacteristic
366C7×#95C2311yescharacteristic
367C7×#95C2311yescharacteristic
368C7×#95C2311yescharacteristic
369C7×#95C2311yescharacteristic
370C7×#95C2311yescharacteristic
371C7×#95C2311yescharacteristic
372C7×#95C2311yescharacteristic
373C7×#95C2311yescharacteristic
374C7×#95C2311yescharacteristic
375C7×#95C2311yescharacteristic
376#2849C2×C711yescharacteristic, complemented
377#2847C2×C711yescharacteristic, complemented
378#2778C2×C711yescharacteristic, complemented
379#2778C2×C711yescharacteristic, complemented
380#2760C2×C711yescharacteristic, complemented
381#2750C2×C711yescharacteristic, complemented
382#2749C2×C711yescharacteristic, complemented
383#2749C2×C711yescharacteristic, complemented
384#2743C2×C711yescharacteristic, complemented
385#2703C2×C711yescharacteristic, complemented
386#2697C2×C711yescharacteristic, complemented
387#2696C2×C711yescharacteristic, complemented
388#2688C2×C711yescharacteristic, complemented
389#2688C2×C711yescharacteristic, complemented
390#2684C2×C711yescharacteristic, complemented
391#2678C2×C711yescharacteristic, complemented
392#2676C2×C711yescharacteristic, complemented
393#2668C2×C711yescharacteristic, complemented
394#2643C2×C711yescharacteristic, complemented
395#2639C2×C711yescharacteristic, complemented
396#2510C2×C711yescharacteristic, complemented
397#2472C2×C711yescharacteristic, complemented
398#2444C2×C711yescharacteristic, complemented
399#2437C2×C711yescharacteristic, complemented
400#2424C2×C711yescharacteristic, complemented
401#2410C2×C711yescharacteristic, complemented
402#2410C2×C711yescharacteristic, complemented
403#2403C2×C711yescharacteristic, complemented
404#2321C2×C711yescharacteristic, complemented
405#2308C2×C711yescharacteristic, complemented
406C2×#386C2×C711yescharacteristic, complemented
407C24×C7—22no—
408C24×C7—22no—
409C24×C7—22no—
410C24×C7—22no—
411C24×C7—22no—
412C24×C7—22no—
413C24×C7—22no—
414C24×C7—22no—
415C24×C7—41no—
416C24×C7—41no—
417C24×C7—41no—
418C24×C7—41no—
419C24×C7—41no—
420C24×C7—41no—
421C24×C7—41no—
422C24×C7—41no—
423C24×C7—41no—
424C24×C7—41no—
425C24×C7—41no—
426C24×C7—41no—
427C24×C7#4114yes—
428C24×C7C2411yescharacteristic
429C24×C7C2411yescharacteristic
430C24×C7C2411yescharacteristic
431C24×C7C2411yescharacteristic
432C24×C7C2411yescharacteristic
433C24×C7C2411yescharacteristic
434C24×C7C2411yescharacteristic
435C24×C7C2411yescharacteristic
436C2×C7×Q8—41no—
437C2×C7×Q8—41no—
438C2×C7×Q8—41no—
439C2×C7×D4—22no—
440C2×C7×D4—22no—
441C2×C7×D4—22no—
442C2×C7×D4—22no—
443C2×C7×D4—22no—
444C2×C7×D4—22no—
445C2×C7×D4—22no—
446C2×C7×D4—22no—
447C2×C7×D4—22no—
448C2×C7×D4—22no—
449C2×C7×D4—22no—
450C2×C7×D4—22no—
451C2×C7×D4—22no—
452C2×C7×D4—22no—
453C2×C7×D4—22no—
454C2×C7×D4—22no—
455C2×C7×D4—22no—
456C2×C7×D4—22no—
457C2×C7×D4—22no—
458C2×C7×D4—22no—
459C2×C7×D4—22no—
460C2×C7×D4—22no—
461C2×C7×D4—22no—
462C2×C7×D4—22no—
463C2×C7×D4—22no—
464C2×C7×D4—22no—
465C2×C7×D4—22no—
466C2×C7×D4—22no—
467C2×C7×D4—41no—
468C2×C7×D4—41no—
469C2×C7×D4—41no—
470C2×C7×D4—41no—
471C2×C7×D4—41no—
472C2×C7×D4—41no—
473C2×C7×D4—41no—
474C2×C7×D4—41no—
475C2×C7×D4—41no—
476C2×C7×D4—41no—
477C2×C7×D4—41no—
478C2×C7×D4—41no—
479C2×C7×D4—41no—
480C2×C7×D4—41no—
481C2×C7×D4—41no—
482C2×C7×D4—41no—
483C2×C7×D4—41no—
484C2×C7×D4—41no—
485C2×C7×D4—41no—
486C2×C7×D4—41no—
487C2×C7×D4—41no—
488C2×C7×D4—41no—
489C2×C7×D4—41no—
490C2×C7×D4—41no—
491C2×C7×D4—41no—
492C2×C7×D4—41no—
493C2×C7×D4—41no—
494C2×C7×D4—41no—
495C2×C7×D4—41no—
496C2×C7×D4—416no—
497C2×C7×D4—416no—
498C22×C4×C7—22no—
499C22×C4×C7—22no—
500C22×C4×C7—22no—
501C22×C4×C7—22no—
502C22×C4×C7—22no—
503C22×C4×C7—22no—
504C22×C4×C7—22no—
505C22×C4×C7—22no—
506C22×C4×C7—22no—
507C22×C4×C7—22no—
508C22×C4×C7—22no—
509C22×C4×C7—41no—
510C22×C4×C7—41no—
511C22×C4×C7—41no—
512C22×C4×C7—41no—
513C22×C4×C7—41no—
514C22×C4×C7—41no—
515C22×C4×C7—41no—
516C22×C4×C7—41no—
517C22×C4×C7—41no—
518C22×C4×C7—41no—
519C22×C4×C7—41no—
520C22×C4×C7—41no—
521C22×C4×C7—41no—
522C22×C4×C7—41no—
523C22×C4×C7—41no—
524C22×C4×C7—41no—
525C22×C4×C7—41no—
526C22×C4×C7—41no—
527C22×C4×C7—41no—
528C22×C4×C7—41no—
529C22×C4×C7—41no—
530C22×C4×C7—41no—
531C22×C4×C7—41no—
532C22×C4×C7—41no—
533C22×C4×C7—41no—
534C22×C4×C7—41no—
535C22×C4×C7—41no—
536C22×C4×C7—41no—
537C22×C4×C7—416no—
538C22×C4×C7C2411yescharacteristic
539C22×C4×C7C2411yescharacteristic
540C22×C4×C7C2411yescharacteristic
541C22×C4×C7C2411yescharacteristic
542C22×C4×C7C2411yescharacteristic
543C22×C4×C7C2411yescharacteristic
544C22×C4×C7C2411yescharacteristic
545C22×C4×C7C2411yescharacteristic
546C22×C4×C7C2411yescharacteristic
547C22×C4×C7C2411yescharacteristic
548C22×C4×C7C2411yescharacteristic
549C22×C4×C7C2411yescharacteristic
550C22×C4×C7C2411yescharacteristic
551C22×C4×C7C2411yescharacteristic
552C22×C4×C7C2411yescharacteristic
553C22×C4×C7C2411yescharacteristic
554C22×C4×C7C2411yescharacteristic
555C22×C4×C7C2411yescharacteristic
556C22×C4×C7C2411yescharacteristic
557C22×C4×C7C2411yescharacteristic
558C22×C4×C7C2411yescharacteristic
559C22×C4×C7C2411yescharacteristic
560C22×C4×C7C2411yescharacteristic
561C7×C4⋊C4—22no—
562C7×C4⋊C4—22no—
563C7×C4⋊C4—41no—
564C7×C4⋊C4—41no—
565C7×C4⋊C4—41no—
566C7×C4⋊C4—41no—
567C7×C4⋊C4—41no—
568C7×C4⋊C4—41no—
569C7×C4⋊C4—41no—
570C7×C4⋊C4—41no—
571C7×C4⋊C4—41no—
572C7×C4⋊C4—41no—
573C7×C4⋊C4—41no—
574C7×C4⋊C4—41no—
575C7×C4⋊C4—41no—
576C7×C4⋊C4—41no—
577C7×C22⋊C4—22no—
578C7×C22⋊C4—22no—
579C7×C22⋊C4—22no—
580C7×C22⋊C4—22no—
581C7×C22⋊C4—22no—
582C7×C22⋊C4—22no—
583C7×C22⋊C4—22no—
584C7×C22⋊C4—22no—
585C7×C22⋊C4—22no—
586C7×C22⋊C4—22no—
587C7×C22⋊C4—22no—
588C7×C22⋊C4—22no—
589C7×C22⋊C4—22no—
590C7×C22⋊C4—22no—
591C7×C22⋊C4—41no—
592C7×C22⋊C4—41no—
593C7×C22⋊C4—41no—
594C7×C22⋊C4—41no—
595C7×C22⋊C4—41no—
596C7×C22⋊C4—41no—
597C7×C22⋊C4—41no—
598C7×C22⋊C4—41no—
599C7×C22⋊C4—41no—
600C7×C22⋊C4—41no—
601C7×C22⋊C4—41no—
602C7×C22⋊C4—41no—
603C7×C22⋊C4—41no—
604C7×C22⋊C4—41no—
605C7×C22⋊C4—41no—
606C7×C22⋊C4—41no—
607C7×C22⋊C4—41no—
608C7×C22⋊C4—41no—
609C7×C22⋊C4—41no—
610C7×C22⋊C4—41no—
611C7×C22⋊C4—41no—
612C7×C22⋊C4—41no—
613C7×C22⋊C4—41no—
614C7×C22⋊C4—41no—
615C7×C22⋊C4—41no—
616C7×C22⋊C4—41no—
617C7×C22⋊C4—41no—
618C7×C22⋊C4—41no—
619C7×C22⋊C4—41no—
620C7×C22⋊C4—41no—
621C7×C22⋊C4—41no—
622C7×C22⋊C4—41no—
623C7×C22⋊C4—41no—
624C7×C22⋊C4—41no—
625C7×C22⋊C4—41no—
626C7×C22⋊C4—41no—
627C7×C22⋊C4—41no—
628C7×C22⋊C4—41no—
629C7×C22⋊C4—41no—
630C7×C22⋊C4—41no—
631C7×C22⋊C4—41no—
632C7×C22⋊C4—41no—
633C7×C22⋊C4—41no—
634C7×C22⋊C4—41no—
635C7×C22⋊C4—41no—
636C7×C22⋊C4—41no—
637C42×C7—41no—
638C42×C7—41no—
639C42×C7—41no—
640C23×D4C22×C711yescharacteristic
641C23×D4C22×C711yescharacteristic
642C24×C4C22×C711yescharacteristic, complemented
643C2×#124C22×C711yescharacteristic, complemented
644C2×#123C22×C711yescharacteristic, complemented
645C2×#123C22×C711yescharacteristic, complemented
646C2×C22⋊Q8C22×C711yescharacteristic, complemented
647C2×C22⋊Q8C22×C711yescharacteristic, complemented
648C2×#121C22×C711yescharacteristic
649C2×#121C22×C711yescharacteristic
650C2×#121C22×C711yescharacteristic, complemented
651C2×#121C22×C711yescharacteristic, complemented
652C2×#121C22×C711yescharacteristic, complemented
653C2×#121C22×C711yescharacteristic, complemented
654C2×#121C22×C711yescharacteristic, complemented
655C2×#120C22×C711yescharacteristic
656C2×#120C22×C711yescharacteristic
657C2×#120C22×C711yescharacteristic
658C2×#120C22×C711yescharacteristic
659C2×#120C22×C711yescharacteristic
660C2×#120C22×C711yescharacteristic, complemented
661C2×#120C22×C711yescharacteristic, complemented
662C2×C4×D4C22×C711yescharacteristic, complemented
663C22×C22⋊C4C22×C711yescharacteristic
664C22×C22⋊C4C22×C711yescharacteristic
665C22×C22⋊C4C22×C711yescharacteristic
666C22×C22⋊C4C22×C711yescharacteristic, complemented
667#401C22×C711yescharacteristic, complemented
668#401C22×C711yescharacteristic, complemented
669#400C22×C711yescharacteristic, complemented
670#400C22×C711yescharacteristic, complemented
671#400C22×C711yescharacteristic, complemented
672#400C22×C711yescharacteristic, complemented
673#400C22×C711yescharacteristic, complemented
674#400C22×C711yescharacteristic, complemented
675#400C22×C711yescharacteristic, complemented
676#399C22×C711yescharacteristic, complemented
677#397C22×C711yescharacteristic, complemented
678#397C22×C711yescharacteristic, complemented
679#397C22×C711yescharacteristic, complemented
680#397C22×C711yescharacteristic, complemented
681#397C22×C711yescharacteristic, complemented
682#397C22×C711yescharacteristic, complemented
683#397C22×C711yescharacteristic, complemented
684#397C22×C711yescharacteristic, complemented
685#397C22×C711yescharacteristic, complemented
686#397C22×C711yescharacteristic, complemented
687#396C22×C711yescharacteristic, complemented
688#396C22×C711yescharacteristic, complemented
689#396C22×C711yescharacteristic, complemented
690#396C22×C711yescharacteristic, complemented
691#394C22×C711yescharacteristic
692#394C22×C711yescharacteristic
693#394C22×C711yescharacteristic, complemented
694#394C22×C711yescharacteristic, complemented
695#394C22×C711yescharacteristic, complemented
696#394C22×C711yescharacteristic, complemented
697#394C22×C711yescharacteristic, complemented
698#394C22×C711yescharacteristic, complemented
699#394C22×C711yescharacteristic, complemented
700#394C22×C711yescharacteristic, complemented
701#394C22×C711yescharacteristic, complemented
702#393C22×C711yescharacteristic, complemented
703#393C22×C711yescharacteristic, complemented
704#393C22×C711yescharacteristic, complemented
705#393C22×C711yescharacteristic, complemented
706#392C22×C711yescharacteristic
707#392C22×C711yescharacteristic
708#392C22×C711yescharacteristic
709#392C22×C711yescharacteristic
710#392C22×C711yescharacteristic
711#392C22×C711yescharacteristic
712#392C22×C711yescharacteristic, complemented
713#392C22×C711yescharacteristic, complemented
714#392C22×C711yescharacteristic, complemented
715#390C22×C711yescharacteristic, complemented
716#390C22×C711yescharacteristic, complemented
717#390C22×C711yescharacteristic, complemented
718#390C22×C711yescharacteristic, complemented
719#388C22×C711yescharacteristic, complemented
720#388C22×C711yescharacteristic, complemented
721#388C22×C711yescharacteristic, complemented
722#388C22×C711yescharacteristic, complemented
723#388C22×C711yescharacteristic, complemented
724#388C22×C711yescharacteristic, complemented
725#388C22×C711yescharacteristic, complemented
726#388C22×C711yescharacteristic, complemented
727#388C22×C711yescharacteristic, complemented
728#388C22×C711yescharacteristic, complemented
729#387C22×C711yescharacteristic, complemented
730#387C22×C711yescharacteristic, complemented
731#386C22×C711yescharacteristic
732#386C22×C711yescharacteristic
733#386C22×C711yescharacteristic
734#386C22×C711yescharacteristic
735#386C22×C711yescharacteristic
736#386C22×C711yescharacteristic
737#386C22×C711yescharacteristic
738#386C22×C711yescharacteristic
739#386C22×C711yescharacteristic
740#386C22×C711yescharacteristic
741#386C22×C711yescharacteristic
742#386C22×C711yescharacteristic
743#386C22×C711yescharacteristic
744#386C22×C711yescharacteristic
745#386C22×C711yescharacteristic, complemented
746#386C22×C711yescharacteristic, complemented
747#386C22×C711yescharacteristic, complemented
748#386C22×C711yescharacteristic, complemented
749#386C22×C711yescharacteristic, complemented
750#386C22×C711yescharacteristic, complemented
751#386C22×C711yescharacteristic, complemented
752#386C22×C711yescharacteristic, complemented
753#386C22×C711yescharacteristic, complemented
754#386C22×C711yescharacteristic, complemented
755#386C22×C711yescharacteristic, complemented
756#386C22×C711yescharacteristic, complemented
757#386C22×C711yescharacteristic, complemented
758#386C22×C711yescharacteristic, complemented
759#386C22×C711yescharacteristic, complemented
760#386C22×C711yescharacteristic, complemented
761#386C22×C711yescharacteristic, complemented
762#386C22×C711yescharacteristic, complemented
763#386C22×C711yescharacteristic, complemented
764#386C22×C711yescharacteristic, complemented
765#386C22×C711yescharacteristic, complemented
766#386C22×C711yescharacteristic, complemented
767#386C22×C711yescharacteristic, complemented
768#385C22×C711yescharacteristic, complemented
769#385C22×C711yescharacteristic, complemented
770#385C22×C711yescharacteristic, complemented
771#385C22×C711yescharacteristic, complemented
772#385C22×C711yescharacteristic, complemented
773#385C22×C711yescharacteristic, complemented
774#385C22×C711yescharacteristic, complemented
775#385C22×C711yescharacteristic, complemented
776#385C22×C711yescharacteristic, complemented
777#383C22×C711yescharacteristic, complemented
778#381C22×C711yescharacteristic, complemented
779#381C22×C711yescharacteristic, complemented
780#381C22×C711yescharacteristic, complemented
781#381C22×C711yescharacteristic, complemented
782#381C22×C711yescharacteristic, complemented
783#380C22×C711yescharacteristic, complemented
784#380C22×C711yescharacteristic, complemented
785#380C22×C711yescharacteristic, complemented
786#380C22×C711yescharacteristic, complemented
787#379C22×C711yescharacteristic
788#379C22×C711yescharacteristic, complemented
789#379C22×C711yescharacteristic, complemented
790#379C22×C711yescharacteristic, complemented
791#379C22×C711yescharacteristic, complemented
792C4×C22⋊C4C22×C711yescharacteristic, complemented
793C2×#95C22×C711yescharacteristic, complemented
794C2×#95C22×C711yescharacteristic, complemented
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—21no—
799C23×C7—28no—
800C23×C7—21no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7—21no—
810C23×C7—21no—
811C23×C7—21no—
812C23×C7—21no—
813C23×C7—21no—
814C23×C7—21no—
815C23×C7—21no—
816C23×C7—21no—
817C23×C7—21no—
818C23×C7—21no—
819C23×C7—21no—
820C23×C7—21no—
821C23×C7—21no—
822C23×C7—21no—
823C23×C7—21no—
824C23×C7—28no—
825C23×C7—21no—
826C23×C7—21no—
827C23×C7—21no—
828C23×C7—21no—
829C23×C7—21no—
830C23×C7—21no—
831C23×C7—21no—
832C23×C7—21no—
833C23×C7—21no—
834C23×C7—21no—
835C23×C7—21no—
836C23×C7—21no—
837C23×C7—21no—
838C23×C7—21no—
839C23×C7—21no—
840C23×C7—21no—
841C23×C7—21no—
842C23×C7—21no—
843C23×C7—21no—
844C23×C7—21no—
845C23×C7—21no—
846C23×C7—44no—
847C23×C7—44no—
848C23×C7—44no—
849C23×C7—44no—
850C23×C7—44no—
851C23×C7—44no—
852C23×C7—44no—
853C23×C7—44no—
854C23×C7—44no—
855C23×C7—82no—
856C23×C7—82no—
857C23×C7—82no—
858C23×C7—82no—
859C23×C7—82no—
860C23×C7—82no—
861C23×C7—82no—
862C23×C7—82no—
863C23×C7—82no—
864C23×C7—82no—
865C23×C7C2×#4112yes—
866C23×C7C2×#4112yes—
867C23×C7C2×#4112yes—
868C23×C7H(5,𝔽2)12yes—
869C23×C7H(5,𝔽2)12yes—
870C23×C7H(5,𝔽2)12yes—
871C23×C7H(5,𝔽2)12yes—
872C23×C7C2511yescharacteristic
873C7×Q8—82no—
874C7×D4—44no—
875C7×D4—44no—
876C7×D4—44no—
877C7×D4—44no—
878C7×D4—44no—
879C7×D4—44no—
880C7×D4—44no—
881C7×D4—44no—
882C7×D4—44no—
883C7×D4—82no—
884C7×D4—82no—
885C7×D4—82no—
886C7×D4—82no—
887C7×D4—82no—
888C7×D4—82no—
889C7×D4—82no—
890C7×D4—82no—
891C7×D4—82no—
892C7×D4—82no—
893C2×C4×C7—21no—
894C2×C4×C7—21no—
895C2×C4×C7—21no—
896C2×C4×C7—21no—
897C2×C4×C7—21no—
898C2×C4×C7—21no—
899C2×C4×C7—21no—
900C2×C4×C7—21no—
901C2×C4×C7—21no—
902C2×C4×C7—21no—
903C2×C4×C7—21no—
904C2×C4×C7—21no—
905C2×C4×C7—21no—
906C2×C4×C7—21no—
907C2×C4×C7—21no—
908C2×C4×C7—21no—
909C2×C4×C7—21no—
910C2×C4×C7—21no—
911C2×C4×C7—21no—
912C2×C4×C7—21no—
913C2×C4×C7—21no—
914C2×C4×C7—21no—
915C2×C4×C7—21no—
916C2×C4×C7—21no—
917C2×C4×C7—21no—
918C2×C4×C7—21no—
919C2×C4×C7—21no—
920C2×C4×C7—21no—
921C2×C4×C7—21no—
922C2×C4×C7—21no—
923C2×C4×C7—21no—
924C2×C4×C7—21no—
925C2×C4×C7—21no—
926C2×C4×C7—21no—
927C2×C4×C7—21no—
928C2×C4×C7—21no—
929C2×C4×C7—21no—
930C2×C4×C7—21no—
931C2×C4×C7—21no—
932C2×C4×C7—21no—
933C2×C4×C7—21no—
934C2×C4×C7—21no—
935C2×C4×C7—21no—
936C2×C4×C7—21no—
937C2×C4×C7—21no—
938C2×C4×C7—21no—
939C2×C4×C7—21no—
940C2×C4×C7—21no—
941C2×C4×C7—21no—
942C2×C4×C7—21no—
943C2×C4×C7—21no—
944C2×C4×C7—21no—
945C2×C4×C7—21no—
946C2×C4×C7—21no—
947C2×C4×C7—21no—
948C2×C4×C7—21no—
949C2×C4×C7—21no—
950C2×C4×C7—21no—
951C2×C4×C7—21no—
952C2×C4×C7—21no—
953C2×C4×C7—21no—
954C2×C4×C7—21no—
955C2×C4×C7—21no—
956C2×C4×C7—21no—
957C2×C4×C7—21no—
958C2×C4×C7—21no—
959C2×C4×C7—21no—
960C2×C4×C7—21no—
961C2×C4×C7—44no—
962C2×C4×C7—44no—
963C2×C4×C7—44no—
964C2×C4×C7—44no—
965C2×C4×C7—44no—
966C2×C4×C7—44no—
967C2×C4×C7—44no—
968C2×C4×C7—44no—
969C2×C4×C7—82no—
970C2×C4×C7—82no—
971C2×C4×C7—82no—
972C2×C4×C7—82no—
973C2×C4×C7—82no—
974C2×C4×C7H(5,𝔽2)12yes—
975C25C23×C711yescharacteristic
976C25C23×C711yescharacteristic
977C25C23×C711yescharacteristic
978C22×Q8C23×C711yescharacteristic
979C22×D4—24no—
980C22×D4—24no—
981C22×D4—42no—
982C22×D4—42no—
983C22×D4—42no—
984C22×D4—42no—
985C22×D4C23×C711yescharacteristic
986C22×D4C23×C711yescharacteristic
987C22×D4C23×C711yescharacteristic
988C22×D4C23×C711yescharacteristic
989C22×D4C23×C711yescharacteristic
990C22×D4C23×C711yescharacteristic
991C22×D4C23×C711yescharacteristic
992C22×D4C23×C711yescharacteristic
993C22×D4C23×C711yescharacteristic
994C22×D4C23×C711yescharacteristic
995C22×D4C23×C711yescharacteristic
996C22×D4C23×C711yescharacteristic
997C22×D4C23×C711yescharacteristic
998C22×D4C23×C711yescharacteristic
999C22×D4C23×C711yescharacteristic
1000C22×D4C23×C711yescharacteristic
1001C22×D4C23×C711yescharacteristic
1002C22×D4C23×C711yescharacteristic
1003C22×D4C23×C711yescharacteristic
1004C23×C4—42no—
1005C23×C4—42no—
1006C23×C4—42no—
1007C23×C4C23×C711yescharacteristic
1008C23×C4C23×C711yescharacteristic
1009C23×C4C23×C711yescharacteristic
1010C23×C4C23×C711yescharacteristic
1011C23×C4C23×C711yescharacteristic
1012C23×C4C23×C711yescharacteristic
1013C23×C4C23×C711yescharacteristic
1014C23×C4C23×C711yescharacteristic
1015C23×C4C23×C711yescharacteristic
1016C23×C4C23×C711yescharacteristic
1017C23×C4C23×C711yescharacteristic
1018C23×C4C23×C711yescharacteristic
1019C23×C4C23×C711yescharacteristic
1020#124—42no—
1021#123—42no—
1022#123—42no—
1023C22⋊Q8—42no—
1024C22⋊Q8—42no—
1025#121—42no—
1026#121—42no—
1027#121—42no—
1028#121—42no—
1029#121—42no—
1030#121—42no—
1031#121—42no—
1032#120—24no—
1033#120—42no—
1034#120—42no—
1035#120—42no—
1036#120—42no—
1037#120—42no—
1038#120—42no—
1039C4×D4—42no—
1040C2×C4⋊C4C23×C711yescharacteristic
1041C2×C4⋊C4C23×C711yescharacteristic
1042C2×C4⋊C4C23×C711yescharacteristic
1043C2×C4⋊C4C23×C711yescharacteristic
1044C2×C4⋊C4C23×C711yescharacteristic
1045C2×C4⋊C4C23×C711yescharacteristic
1046C2×C4⋊C4C23×C711yescharacteristic
1047C2×C4⋊C4C23×C711yescharacteristic
1048C2×C4⋊C4C23×C711yescharacteristic
1049C2×C4⋊C4C23×C711yescharacteristic
1050C2×C4⋊C4C23×C711yescharacteristic
1051C2×C4⋊C4C23×C711yescharacteristic
1052C2×C4⋊C4C23×C711yescharacteristic
1053C2×C4⋊C4C23×C711yescharacteristic
1054C2×C4⋊C4C23×C711yescharacteristic
1055C2×C4⋊C4C23×C711yescharacteristic
1056C2×C22⋊C4—42no—
1057C2×C22⋊C4—42no—
1058C2×C22⋊C4—42no—
1059C2×C22⋊C4—42no—
1060C2×C22⋊C4C23×C711yescharacteristic
1061C2×C22⋊C4C23×C711yescharacteristic
1062C2×C22⋊C4C23×C711yescharacteristic
1063C2×C22⋊C4C23×C711yescharacteristic
1064C2×C22⋊C4C23×C711yescharacteristic
1065C2×C22⋊C4C23×C711yescharacteristic
1066C2×C22⋊C4C23×C711yescharacteristic
1067C2×C22⋊C4C23×C711yescharacteristic
1068C2×C22⋊C4C23×C711yescharacteristic
1069C2×C22⋊C4C23×C711yescharacteristic
1070C2×C22⋊C4C23×C711yescharacteristic
1071C2×C22⋊C4C23×C711yescharacteristic
1072C2×C22⋊C4C23×C711yescharacteristic
1073C2×C22⋊C4C23×C711yescharacteristic
1074C2×C22⋊C4C23×C711yescharacteristic
1075C2×C22⋊C4C23×C711yescharacteristic
1076C2×C22⋊C4C23×C711yescharacteristic
1077C2×C22⋊C4C23×C711yescharacteristic
1078C2×C22⋊C4C23×C711yescharacteristic
1079C2×C22⋊C4C23×C711yescharacteristic
1080C2×C22⋊C4C23×C711yescharacteristic
1081C2×C22⋊C4C23×C711yescharacteristic
1082C2×C22⋊C4C23×C711yescharacteristic
1083C2×C22⋊C4C23×C711yescharacteristic
1084C2×C22⋊C4C23×C711yescharacteristic
1085C2×C22⋊C4C23×C711yescharacteristic
1086C2×C22⋊C4C23×C711yescharacteristic
1087C2×C22⋊C4C23×C711yescharacteristic
1088C2×C22⋊C4C23×C711yescharacteristic
1089C2×C22⋊C4C23×C711yescharacteristic
1090C2×C22⋊C4C23×C711yescharacteristic
1091C2×C22⋊C4C23×C711yescharacteristic
1092C2×C22⋊C4C23×C711yescharacteristic
1093C2×C22⋊C4C23×C711yescharacteristic
1094C2×C22⋊C4C23×C711yescharacteristic
1095C2×C22⋊C4C23×C711yescharacteristic
1096C2×C22⋊C4C23×C711yescharacteristic
1097C2×C22⋊C4C23×C711yescharacteristic
1098C2×C22⋊C4C23×C711yescharacteristic
1099C2×C22⋊C4C23×C711yescharacteristic
1100C2×C22⋊C4C23×C711yescharacteristic
1101C2×C22⋊C4C23×C711yescharacteristic
1102C2×C22⋊C4C23×C711yescharacteristic
1103C2×C22⋊C4C23×C711yescharacteristic
1104C2×C22⋊C4C23×C711yescharacteristic
1105C2×C22⋊C4C23×C711yescharacteristic
1106C2×C22⋊C4C23×C711yescharacteristic
1107C2×C22⋊C4C23×C711yescharacteristic
1108C2×C22⋊C4C23×C711yescharacteristic
1109C2×C22⋊C4C23×C711yescharacteristic
1110C2×C22⋊C4C23×C711yescharacteristic
1111C2×C22⋊C4C23×C711yescharacteristic
1112C2×C22⋊C4C23×C711yescharacteristic
1113C2×C22⋊C4C23×C711yescharacteristic
1114C2×C22⋊C4C23×C711yescharacteristic
1115C2×C22⋊C4C23×C711yescharacteristic
1116C2×C22⋊C4C23×C711yescharacteristic
1117C2×C22⋊C4C23×C711yescharacteristic
1118C2×C22⋊C4C23×C711yescharacteristic
1119C2×C22⋊C4C23×C711yescharacteristic
1120C2×C42C23×C711yescharacteristic
1121C2×C42C23×C711yescharacteristic
1122C2×C42C23×C711yescharacteristic
1123#95C23×C711yescharacteristic
1124#95C23×C711yescharacteristic
1125#95C23×C711yescharacteristic
1126#95C23×C711yescharacteristic
1127#95C23×C711yescharacteristic
1128#95C23×C711yescharacteristic
1129#95C23×C711yescharacteristic
1130#95C23×C711yescharacteristic
1131#95C23×C711yescharacteristic
1132#95C23×C711yescharacteristic
1133#95C23×C711yescharacteristic
1134#95C23×C711yescharacteristic
1135#95C23×C711yescharacteristic
1136#95C23×C711yescharacteristic
1137#95C23×C711yescharacteristic
1138#95C23×C711yescharacteristic
1139#95C23×C711yescharacteristic
1140#95C23×C711yescharacteristic
1141#95C23×C711yescharacteristic
1142#95C23×C711yescharacteristic
1143#95C23×C711yescharacteristic
1144#95C23×C711yescharacteristic
1145#95C23×C711yescharacteristic
1146#95C23×C711yescharacteristic
1147#95C23×C711yescharacteristic
1148#95C23×C711yescharacteristic
1149#95C23×C711yescharacteristic
1150#95C23×C711yescharacteristic
1151#95C23×C711yescharacteristic
1152#95C23×C711yescharacteristic
1153#95C23×C711yescharacteristic
1154#95C23×C711yescharacteristic
1155#95C23×C711yescharacteristic
1156#95C23×C711yescharacteristic
1157#95C23×C711yescharacteristic
1158#95C23×C711yescharacteristic
1159#95C23×C711yescharacteristic
1160#95C23×C711yescharacteristic
1161#95C23×C711yescharacteristic
1162#95C23×C711yescharacteristic
1163C22×C7—22no—
1164C22×C7—22no—
1165C22×C7—22no—
1166C22×C7—22no—
1167C22×C7—22no—
1168C22×C7—22no—
1169C22×C7—22no—
1170C22×C7—22no—
1171C22×C7—22no—
1172C22×C7—22no—
1173C22×C7—22no—
1174C22×C7—22no—
1175C22×C7—22no—
1176C22×C7—22no—
1177C22×C7—22no—
1178C22×C7—22no—
1179C22×C7—22no—
1180C22×C7—22no—
1181C22×C7—416no—
1182C22×C7—41no—
1183C22×C7—41no—
1184C22×C7—41no—
1185C22×C7—41no—
1186C22×C7—41no—
1187C22×C7—41no—
1188C22×C7—41no—
1189C22×C7—41no—
1190C22×C7—41no—
1191C22×C7—41no—
1192C22×C7—41no—
1193C22×C7—41no—
1194C22×C7—41no—
1195C22×C7—41no—
1196C22×C7—41no—
1197C22×C7—41no—
1198C22×C7—41no—
1199C22×C7—41no—
1200C22×C7—41no—
1201C22×C7—41no—
1202C22×C7—41no—
1203C22×C7—41no—
1204C22×C7—41no—
1205C22×C7—41no—
1206C22×C7—41no—
1207C22×C7—41no—
1208C22×C7—41no—
1209C22×C7—41no—
1210C22×C7—41no—
1211C22×C7—41no—
1212C22×C7—41no—
1213C22×C7—41no—
1214C22×C7—41no—
1215C22×C7—41no—
1216C22×C7—41no—
1217C22×C7—41no—
1218C22×C7—41no—
1219C22×C7—88no—
1220C22×C7—88no—
1221C22×C7#53814yes—
1222C22×C7C22×#4111yescharacteristic
1223C22×C7C2×H(5,𝔽2)11yescharacteristic
1224C22×C7C2×H(5,𝔽2)11yescharacteristic
1225C22×C7C2×H(5,𝔽2)11yescharacteristic
1226C22×C7C2×H(5,𝔽2)11yescharacteristic
1227C22×C7C2×H(5,𝔽2)11yescharacteristic
1228C22×C7#58511yescharacteristic
1229C4×C7—22no—
1230C4×C7—41no—
1231C4×C7—41no—
1232C4×C7—41no—
1233C4×C7—41no—
1234C4×C7—41no—
1235C4×C7—41no—
1236C4×C7—41no—
1237C4×C7—41no—
1238C4×C7—41no—
1239C4×C7—41no—
1240C4×C7—41no—
1241C4×C7—41no—
1242C4×C7—41no—
1243C4×C7—41no—
1244C4×C7—41no—
1245C4×C7—41no—
1246C4×C7—41no—
1247C4×C7—41no—
1248C4×C7—41no—
1249C4×C7—41no—
1250C4×C7—41no—
1251C4×C7—41no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—41no—
1261C24—41no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—41no—
1267C24—41no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24C7×#4114yes—
1273C24C24×C711yescharacteristic
1274C24C24×C711yescharacteristic
1275C24C24×C711yescharacteristic
1276C24C24×C711yescharacteristic
1277C24C24×C711yescharacteristic
1278C24C24×C711yescharacteristic
1279C24C24×C711yescharacteristic
1280C24C24×C711yescharacteristic
1281C2×Q8—41no—
1282C2×Q8—41no—
1283C2×Q8—41no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—416no—
1342C2×D4—416no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—416no—
1383C22×C4C24×C711yescharacteristic
1384C22×C4C24×C711yescharacteristic
1385C22×C4C24×C711yescharacteristic
1386C22×C4C24×C711yescharacteristic
1387C22×C4C24×C711yescharacteristic
1388C22×C4C24×C711yescharacteristic
1389C22×C4C24×C711yescharacteristic
1390C22×C4C24×C711yescharacteristic
1391C22×C4C24×C711yescharacteristic
1392C22×C4C24×C711yescharacteristic
1393C22×C4C24×C711yescharacteristic
1394C22×C4C24×C711yescharacteristic
1395C22×C4C24×C711yescharacteristic
1396C22×C4C24×C711yescharacteristic
1397C22×C4C24×C711yescharacteristic
1398C22×C4C24×C711yescharacteristic
1399C22×C4C24×C711yescharacteristic
1400C22×C4C24×C711yescharacteristic
1401C22×C4C24×C711yescharacteristic
1402C22×C4C24×C711yescharacteristic
1403C22×C4C24×C711yescharacteristic
1404C22×C4C24×C711yescharacteristic
1405C22×C4C24×C711yescharacteristic
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C42—41no—
1483C42—41no—
1484C42—41no—
1485C2×C7—24no—
1486C2×C7—42no—
1487C2×C7—42no—
1488C2×C7—42no—
1489C2×C7—42no—
1490C2×C7—81no—
1491C2×C7—81no—
1492C2×C7—81no—
1493C2×C7C2×#53811yescharacteristic
1494C2×C7#349011yescharacteristic
1495C2×C7#350511yescharacteristic
1496C2×C7#353211yescharacteristic
1497C2×C7#353411yescharacteristic
1498C2×C7#353411yescharacteristic
1499C2×C7#353711yescharacteristic
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—28no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—28no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—44no—
1552C23—44no—
1553C23—44no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—44no—
1560C23—82no—
1561C23—82no—
1562C23—82no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23—82no—
1568C23—82no—
1569C23—82no—
1570C23C2×C7×#4112yes—
1571C23C2×C7×#4112yes—
1572C23C2×C7×#4112yes—
1573C23C7×H(5,𝔽2)12yes—
1574C23C7×H(5,𝔽2)12yes—
1575C23C7×H(5,𝔽2)12yes—
1576C23C7×H(5,𝔽2)12yes—
1577C23C25×C711yescharacteristic
1578Q8—82no—
1579D4—44no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585D4—44no—
1586D4—44no—
1587D4—44no—
1588D4—82no—
1589D4—82no—
1590D4—82no—
1591D4—82no—
1592D4—82no—
1593D4—82no—
1594D4—82no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—82no—
1675C2×C4—82no—
1676C2×C4—82no—
1677C2×C4—82no—
1678C2×C4—82no—
1679C2×C4C7×H(5,𝔽2)12yes—
1680C7#3677611yescharacteristic, direct product factor, Sylow
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—416no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—88no—
1738C22—88no—
1739C22C7×#53814yes—
1740C22C22×C7×#4111yescharacteristic
1741C22C2×C7×H(5,𝔽2)11yescharacteristic
1742C22C2×C7×H(5,𝔽2)11yescharacteristic
1743C22C2×C7×H(5,𝔽2)11yescharacteristic
1744C22C2×C7×H(5,𝔽2)11yescharacteristic
1745C22C2×C7×H(5,𝔽2)11yescharacteristic
1746C22C7×#58511yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—42no—
1774C2—42no—
1775C2—81no—
1776C2—81no—
1777C2—81no—
1778C2C2×C7×#53811yescharacteristic
1779C2C7×#349011yescharacteristic
1780C2C7×#350511yescharacteristic
1781C2C7×#353211yescharacteristic
1782C2C7×#353411yescharacteristic
1783C2C7×#353411yescharacteristic
1784C2C7×#353711yescharacteristic
subgroupG/H
center, socleC23×C7C25
commutator, Frattini, cosocleC23C25×C7
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C7 ◁ G

Complements

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

NH ≅ G/Ntype
1. C7×#2849C2semidirect
2. C7×#2847C2semidirect
3. C7×#2778C2semidirect
4. C7×#2778C2semidirect
5. C7×#2760C2semidirect
6. C7×#2750C2semidirect
7. C7×#2749C2semidirect
8. C7×#2749C2semidirect
9. C7×#2743C2semidirect
10. C7×#2703C2semidirect
11. C7×#2697C2semidirect
12. C7×#2696C2semidirect
13. C7×#2688C2semidirect
14. C7×#2688C2semidirect
15. C7×#2684C2semidirect
16. C7×#2678C2semidirect
17. C7×#2676C2semidirect
18. C7×#2668C2semidirect
19. C7×#2643C2semidirect
20. C7×#2639C2semidirect
21. C7×#2510C2semidirect
22. C7×#2472C2semidirect
23. C7×#2444C2semidirect
24. C7×#2437C2semidirect
25. C7×#2424C2semidirect
26. C7×#2410C2semidirect
27. C7×#2410C2semidirect
28. C7×#2403C2semidirect
29. C7×#2321C2semidirect
30. C7×#2308C2semidirect
31. C2×C7×#386C2semidirect
34. C24×C4×C7C22semidirect
35. C2×C7×#124C22semidirect
36. C2×C7×#123C22semidirect
37. C2×C7×#123C22semidirect
38. C2×C7×C22⋊Q8C22semidirect
39. C2×C7×C22⋊Q8C22semidirect
42. C2×C7×#121C22semidirect
43. C2×C7×#121C22semidirect
44. C2×C7×#121C22semidirect
45. C2×C7×#121C22semidirect
46. C2×C7×#121C22semidirect
52. C2×C7×#120C22semidirect
53. C2×C7×#120C22semidirect
54. C2×C4×C7×D4C22semidirect
58. C22×C7×C22⋊C4C22semidirect
59. C7×#401C22semidirect
60. C7×#401C22semidirect
61. C7×#400C22semidirect
62. C7×#400C22semidirect
63. C7×#400C22semidirect
64. C7×#400C22semidirect
65. C7×#400C22semidirect
66. C7×#400C22semidirect
67. C7×#400C22semidirect
68. C7×#399C22semidirect
69. C7×#397C22semidirect
70. C7×#397C22semidirect
71. C7×#397C22semidirect
72. C7×#397C22semidirect
73. C7×#397C22semidirect
74. C7×#397C22semidirect
75. C7×#397C22semidirect
76. C7×#397C22semidirect
77. C7×#397C22semidirect
78. C7×#397C22semidirect
79. C7×#396C22semidirect
80. C7×#396C22semidirect
81. C7×#396C22semidirect
82. C7×#396C22semidirect
85. C7×#394C22semidirect
86. C7×#394C22semidirect
87. C7×#394C22semidirect
88. C7×#394C22semidirect
89. C7×#394C22semidirect
90. C7×#394C22semidirect
91. C7×#394C22semidirect
92. C7×#394C22semidirect
93. C7×#394C22semidirect
94. C7×#393C22semidirect
95. C7×#393C22semidirect
96. C7×#393C22semidirect
97. C7×#393C22semidirect
104. C7×#392C22semidirect
105. C7×#392C22semidirect
106. C7×#392C22semidirect
107. C7×#390C22semidirect
108. C7×#390C22semidirect
109. C7×#390C22semidirect
110. C7×#390C22semidirect
111. C7×#388C22semidirect
112. C7×#388C22semidirect
113. C7×#388C22semidirect
114. C7×#388C22semidirect
115. C7×#388C22semidirect
116. C7×#388C22semidirect
117. C7×#388C22semidirect
118. C7×#388C22semidirect
119. C7×#388C22semidirect
120. C7×#388C22semidirect
121. C7×#387C22semidirect
122. C7×#387C22semidirect
137. C7×#386C22semidirect
138. C7×#386C22semidirect
139. C7×#386C22semidirect
140. C7×#386C22semidirect
141. C7×#386C22semidirect
142. C7×#386C22semidirect
143. C7×#386C22semidirect
144. C7×#386C22semidirect
145. C7×#386C22semidirect
146. C7×#386C22semidirect
147. C7×#386C22semidirect
148. C7×#386C22semidirect
149. C7×#386C22semidirect
150. C7×#386C22semidirect
151. C7×#386C22semidirect
152. C7×#386C22semidirect
153. C7×#386C22semidirect
154. C7×#386C22semidirect
155. C7×#386C22semidirect
156. C7×#386C22semidirect
157. C7×#386C22semidirect
158. C7×#386C22semidirect
159. C7×#386C22semidirect
160. C7×#385C22semidirect
161. C7×#385C22semidirect
162. C7×#385C22semidirect
163. C7×#385C22semidirect
164. C7×#385C22semidirect
165. C7×#385C22semidirect
166. C7×#385C22semidirect
167. C7×#385C22semidirect
168. C7×#385C22semidirect
169. C7×#383C22semidirect
170. C7×#381C22semidirect
171. C7×#381C22semidirect
172. C7×#381C22semidirect
173. C7×#381C22semidirect
174. C7×#381C22semidirect
175. C7×#380C22semidirect
176. C7×#380C22semidirect
177. C7×#380C22semidirect
178. C7×#380C22semidirect
180. C7×#379C22semidirect
181. C7×#379C22semidirect
182. C7×#379C22semidirect
183. C7×#379C22semidirect
184. C4×C7×C22⋊C4C22semidirect
185. C2×C7×#95C22semidirect
186. C2×C7×#95C22semidirect
187. #36776C7direct (N × H)
376. #2849C2×C7semidirect
377. #2847C2×C7semidirect
378. #2778C2×C7semidirect
379. #2778C2×C7semidirect
380. #2760C2×C7semidirect
381. #2750C2×C7semidirect
382. #2749C2×C7semidirect
383. #2749C2×C7semidirect
384. #2743C2×C7semidirect
385. #2703C2×C7semidirect
386. #2697C2×C7semidirect
387. #2696C2×C7semidirect
388. #2688C2×C7semidirect
389. #2688C2×C7semidirect
390. #2684C2×C7semidirect
391. #2678C2×C7semidirect
392. #2676C2×C7semidirect
393. #2668C2×C7semidirect
394. #2643C2×C7semidirect
395. #2639C2×C7semidirect
396. #2510C2×C7semidirect
397. #2472C2×C7semidirect
398. #2444C2×C7semidirect
399. #2437C2×C7semidirect
400. #2424C2×C7semidirect
401. #2410C2×C7semidirect
402. #2410C2×C7semidirect
403. #2403C2×C7semidirect
404. #2321C2×C7semidirect
405. #2308C2×C7semidirect
406. C2×#386C2×C7semidirect
642. C24×C4C22×C7semidirect
643. C2×#124C22×C7semidirect
644. C2×#123C22×C7semidirect
645. C2×#123C22×C7semidirect
646. C2×C22⋊Q8C22×C7semidirect
647. C2×C22⋊Q8C22×C7semidirect
650. C2×#121C22×C7semidirect
651. C2×#121C22×C7semidirect
652. C2×#121C22×C7semidirect
653. C2×#121C22×C7semidirect
654. C2×#121C22×C7semidirect
660. C2×#120C22×C7semidirect
661. C2×#120C22×C7semidirect
662. C2×C4×D4C22×C7semidirect
666. C22×C22⋊C4C22×C7semidirect
667. #401C22×C7semidirect
668. #401C22×C7semidirect
669. #400C22×C7semidirect
670. #400C22×C7semidirect
671. #400C22×C7semidirect
672. #400C22×C7semidirect
673. #400C22×C7semidirect
674. #400C22×C7semidirect
675. #400C22×C7semidirect
676. #399C22×C7semidirect
677. #397C22×C7semidirect
678. #397C22×C7semidirect
679. #397C22×C7semidirect
680. #397C22×C7semidirect
681. #397C22×C7semidirect
682. #397C22×C7semidirect
683. #397C22×C7semidirect
684. #397C22×C7semidirect
685. #397C22×C7semidirect
686. #397C22×C7semidirect
687. #396C22×C7semidirect
688. #396C22×C7semidirect
689. #396C22×C7semidirect
690. #396C22×C7semidirect
693. #394C22×C7semidirect
694. #394C22×C7semidirect
695. #394C22×C7semidirect
696. #394C22×C7semidirect
697. #394C22×C7semidirect
698. #394C22×C7semidirect
699. #394C22×C7semidirect
700. #394C22×C7semidirect
701. #394C22×C7semidirect
702. #393C22×C7semidirect
703. #393C22×C7semidirect
704. #393C22×C7semidirect
705. #393C22×C7semidirect
712. #392C22×C7semidirect
713. #392C22×C7semidirect
714. #392C22×C7semidirect
715. #390C22×C7semidirect
716. #390C22×C7semidirect
717. #390C22×C7semidirect
718. #390C22×C7semidirect
719. #388C22×C7semidirect
720. #388C22×C7semidirect
721. #388C22×C7semidirect
722. #388C22×C7semidirect
723. #388C22×C7semidirect
724. #388C22×C7semidirect
725. #388C22×C7semidirect
726. #388C22×C7semidirect
727. #388C22×C7semidirect
728. #388C22×C7semidirect
729. #387C22×C7semidirect
730. #387C22×C7semidirect
745. #386C22×C7semidirect
746. #386C22×C7semidirect
747. #386C22×C7semidirect
748. #386C22×C7semidirect
749. #386C22×C7semidirect
750. #386C22×C7semidirect
751. #386C22×C7semidirect
752. #386C22×C7semidirect
753. #386C22×C7semidirect
754. #386C22×C7semidirect
755. #386C22×C7semidirect
756. #386C22×C7semidirect
757. #386C22×C7semidirect
758. #386C22×C7semidirect
759. #386C22×C7semidirect
760. #386C22×C7semidirect
761. #386C22×C7semidirect
762. #386C22×C7semidirect
763. #386C22×C7semidirect
764. #386C22×C7semidirect
765. #386C22×C7semidirect
766. #386C22×C7semidirect
767. #386C22×C7semidirect
768. #385C22×C7semidirect
769. #385C22×C7semidirect
770. #385C22×C7semidirect
771. #385C22×C7semidirect
772. #385C22×C7semidirect
773. #385C22×C7semidirect
774. #385C22×C7semidirect
775. #385C22×C7semidirect
776. #385C22×C7semidirect
777. #383C22×C7semidirect
778. #381C22×C7semidirect
779. #381C22×C7semidirect
780. #381C22×C7semidirect
781. #381C22×C7semidirect
782. #381C22×C7semidirect
783. #380C22×C7semidirect
784. #380C22×C7semidirect
785. #380C22×C7semidirect
786. #380C22×C7semidirect
788. #379C22×C7semidirect
789. #379C22×C7semidirect
790. #379C22×C7semidirect
791. #379C22×C7semidirect
792. C4×C22⋊C4C22×C7semidirect
793. C2×#95C22×C7semidirect
794. C2×#95C22×C7semidirect
1680. C7#36776direct (N × H)

Maximal subgroups

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

subgroupindex
C7×#28492
C7×#28472
C7×#27782
C7×#27602
C7×#27502
C7×#27492
C7×#27432
C7×#27032
C7×#26972
C7×#26962
C7×#26882
C7×#26842
C7×#26782
C7×#26762
C7×#26682
C7×#26432
C7×#26392
C7×#25102
C7×#24722
C7×#24442
C7×#24372
C7×#24242
C7×#24102
C7×#24032
C7×#23212
C7×#23082
C2×C7×#3862
#367767