Finite Group Databasebeta

← #13562138

Subgroups — #13562138

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×#2750C211yesmaximal, characteristic, complemented
2#11735835C211yesmaximal, characteristic, complemented
3#11735810C211yesmaximal, characteristic, complemented
4#11735807C211yesmaximal, characteristic, complemented
5#11735806C211yesmaximal, characteristic, complemented
6#11735800C211yesmaximal, characteristic, complemented
7#11735686C211yesmaximal, characteristic, complemented
8#11735138C211yesmaximal, characteristic, complemented
9#11734919C211yesmaximal, characteristic, complemented
10#11734875C211yesmaximal, characteristic, complemented
11#11734863C211yesmaximal, characteristic, complemented
12#11734585C211yesmaximal, characteristic, complemented
13#11734553C211yesmaximal, characteristic, complemented
14#11733368C211yesmaximal, characteristic, complemented
15#11733291C211yesmaximal, characteristic, complemented
16#11733272C211yesmaximal, characteristic, complemented
17#11733215C211yesmaximal, characteristic, complemented
18#11732765C211yesmaximal, characteristic, complemented
19#11732597C211yesmaximal, characteristic, complemented
20#11732356C211yesmaximal, characteristic, complemented
21#11732329C211yesmaximal, characteristic, complemented
22D7×#386C211yesmaximal, characteristic, complemented
23#11732285C211yesmaximal, characteristic, complemented
24#11732101C211yesmaximal, characteristic, complemented
25#11732087C211yesmaximal, characteristic, complemented
26#11732046C211yesmaximal, characteristic, complemented
27#11731954C211yesmaximal, characteristic, complemented
28#11731588C211yesmaximal, characteristic, complemented
29#11731564C211yesmaximal, characteristic, complemented
30#11731493C211yesmaximal, characteristic, complemented
31#11731490C211yesmaximal, characteristic, complemented
32C22×D4×D7C2211yescharacteristic
33C23×D28C2211yescharacteristic
34C23×C4×D7C2211yescharacteristic, complemented
35C2×#6500C2211yescharacteristic
36C2×#6493C2211yescharacteristic, complemented
37C2×#6460C2211yescharacteristic, complemented
38C2×#6459C2211yescharacteristic, complemented
39C2×#6458C2211yescharacteristic
40C2×#6458C2211yescharacteristic
41C2×#6458C2211yescharacteristic, complemented
42C2×#6458C2211yescharacteristic, complemented
43C2×#6457C2211yescharacteristic, complemented
44C2×#6457C2211yescharacteristic, complemented
45C2×#6448C2211yescharacteristic, complemented
46C2×#6447C2211yescharacteristic, complemented
47C2×#6447C2211yescharacteristic, complemented
48C2×#6445C2211yescharacteristic
49C2×#6445C2211yescharacteristic
50C2×#6445C2211yescharacteristic
51C2×#6445C2211yescharacteristic
52C2×#6445C2211yescharacteristic, complemented
53C2×#6445C2211yescharacteristic, complemented
54C2×D7×C22⋊C4C2211yescharacteristic
55C2×D7×C22⋊C4C2211yescharacteristic
56C2×D7×C22⋊C4C2211yescharacteristic
57C2×D7×C22⋊C4C2211yescharacteristic, complemented
58C2×C4×D28C2211yescharacteristic, complemented
59C7×#400C2211yescharacteristic, complemented
60C7×#400C2211yescharacteristic, complemented
61C7×#400C2211yescharacteristic, complemented
62C7×#397C2211yescharacteristic, complemented
63C7×#396C2211yescharacteristic, complemented
64C7×#394C2211yescharacteristic
65C7×#388C2211yescharacteristic, complemented
66C7×#388C2211yescharacteristic, complemented
67C7×#387C2211yescharacteristic, complemented
68C7×#386C2211yescharacteristic
69C7×#386C2211yescharacteristic
70C7×#385C2211yescharacteristic, complemented
71C7×#385C2211yescharacteristic, complemented
72C7×#381C2211yescharacteristic, complemented
73C7×#380C2211yescharacteristic, complemented
74#89995C2211yescharacteristic
75#89992C2211yescharacteristic
76#89985C2211yescharacteristic
77#89985C2211yescharacteristic, complemented
78#89985C2211yescharacteristic, complemented
79#89985C2211yescharacteristic, complemented
80#89983C2211yescharacteristic, complemented
81#89766C2211yescharacteristic, complemented
82#89766C2211yescharacteristic, complemented
83#89765C2211yescharacteristic, complemented
84#89763C2211yescharacteristic, complemented
85#89763C2211yescharacteristic, complemented
86#89763C2211yescharacteristic, complemented
87#89763C2211yescharacteristic, complemented
88#89762C2211yescharacteristic, complemented
89#89762C2211yescharacteristic, complemented
90#89761C2211yescharacteristic, complemented
91#89761C2211yescharacteristic, complemented
92#89761C2211yescharacteristic, complemented
93#89761C2211yescharacteristic, complemented
94#89761C2211yescharacteristic, complemented
95#89760C2211yescharacteristic, complemented
96#89760C2211yescharacteristic, complemented
97#89759C2211yescharacteristic, complemented
98#89759C2211yescharacteristic, complemented
99#89758C2211yescharacteristic, complemented
100#89754C2211yescharacteristic, complemented
101#89733C2211yescharacteristic, complemented
102#89733C2211yescharacteristic, complemented
103#89732C2211yescharacteristic
104#89732C2211yescharacteristic
105#89732C2211yescharacteristic
106#89731C2211yescharacteristic
107#89731C2211yescharacteristic, complemented
108#89730C2211yescharacteristic, complemented
109#89730C2211yescharacteristic, complemented
110#89730C2211yescharacteristic, complemented
111#89730C2211yescharacteristic, complemented
112#89729C2211yescharacteristic, complemented
113#89728C2211yescharacteristic
114#89728C2211yescharacteristic
115#89728C2211yescharacteristic, complemented
116#89728C2211yescharacteristic, complemented
117#89727C2211yescharacteristic
118#89727C2211yescharacteristic, complemented
119#89727C2211yescharacteristic, complemented
120#89727C2211yescharacteristic, complemented
121#89727C2211yescharacteristic, complemented
122#89723C2211yescharacteristic, complemented
123#89721C2211yescharacteristic, complemented
124#89720C2211yescharacteristic, complemented
125#89719C2211yescharacteristic, complemented
126#89718C2211yescharacteristic, complemented
127#89717C2211yescharacteristic, complemented
128#89712C2211yescharacteristic, complemented
129#89712C2211yescharacteristic, complemented
130#89711C2211yescharacteristic, complemented
131#89447C2211yescharacteristic, complemented
132#89447C2211yescharacteristic, complemented
133#89447C2211yescharacteristic, complemented
134#89447C2211yescharacteristic, complemented
135#89447C2211yescharacteristic, complemented
136#89447C2211yescharacteristic, complemented
137#89446C2211yescharacteristic, complemented
138#89446C2211yescharacteristic, complemented
139#89445C2211yescharacteristic, complemented
140#89445C2211yescharacteristic, complemented
141#89445C2211yescharacteristic, complemented
142#89444C2211yescharacteristic, complemented
143#89444C2211yescharacteristic, complemented
144#89443C2211yescharacteristic
145#89443C2211yescharacteristic
146#89443C2211yescharacteristic, complemented
147#89443C2211yescharacteristic, complemented
148#89443C2211yescharacteristic, complemented
149#89442C2211yescharacteristic, complemented
150#89441C2211yescharacteristic, complemented
151#89440C2211yescharacteristic, complemented
152#89439C2211yescharacteristic, complemented
153#89438C2211yescharacteristic, complemented
154#89437C2211yescharacteristic
155#89437C2211yescharacteristic
156#89437C2211yescharacteristic
157#89437C2211yescharacteristic
158#89437C2211yescharacteristic
159#89437C2211yescharacteristic
160#89437C2211yescharacteristic
161#89437C2211yescharacteristic
162#89437C2211yescharacteristic, complemented
163#89437C2211yescharacteristic, complemented
164#89437C2211yescharacteristic, complemented
165#89437C2211yescharacteristic, complemented
166#89437C2211yescharacteristic, complemented
167#89437C2211yescharacteristic, complemented
168#89437C2211yescharacteristic, complemented
169#89437C2211yescharacteristic, complemented
170#89437C2211yescharacteristic, complemented
171#89437C2211yescharacteristic, complemented
172#89437C2211yescharacteristic, complemented
173#89437C2211yescharacteristic, complemented
174#89437C2211yescharacteristic, complemented
175#89437C2211yescharacteristic, complemented
176#89436C2211yescharacteristic, complemented
177#89436C2211yescharacteristic, complemented
178#89436C2211yescharacteristic, complemented
179D7×#95C2211yescharacteristic, complemented
180D7×#95C2211yescharacteristic, complemented
181C7⋊#401C2211yescharacteristic, complemented
182C7⋊#401C2211yescharacteristic, complemented
183#89431C2211yescharacteristic, complemented
184#89430C2211yescharacteristic, complemented
185#89425C2211yescharacteristic, complemented
186#89423C2211yescharacteristic, complemented
187#36776—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C24×D7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C2×D4×D7—24no—
202C2×D4×D7—42no—
203C2×D4×D7—42no—
204C22×D28—24no—
205C22×D28—42no—
206C22×D28—42no—
207C22×D28C2311yescharacteristic
208C22×D28C2311yescharacteristic
209C22×D28C2311yescharacteristic
210C22×D28C2311yescharacteristic
211C22×D28C2311yescharacteristic
212C22×D28C2311yescharacteristic
213C22×D28C2311yescharacteristic
214C22×D28C2311yescharacteristic
215C22×D28C2311yescharacteristic
216C22×D28C2311yescharacteristic
217C22×D28C2311yescharacteristic
218C22×D28C2311yescharacteristic
219C22×C4×D7—42no—
220C22×C4×D7—42no—
221C22×C4×D7—42no—
222C22×C4×D7C2311yescharacteristic
223C22×C4×D7C2311yescharacteristic
224C22×C4×D7C2311yescharacteristic
225C22×C4×D7C2311yescharacteristic
226C22×C4×D7C2311yescharacteristic
227C22×C4×D7C2311yescharacteristic
228C22×C4×D7C2311yescharacteristic
229C22×C4×D7C2311yescharacteristic
230C22×C4×D7C2311yescharacteristic
231C22×C4×D7C2311yescharacteristic
232C22×Dic14C2311yescharacteristic
233C2×C7×C4⋊C4C2311yescharacteristic
234C2×C7×C4⋊C4C2311yescharacteristic
235C2×C7×C4⋊C4C2311yescharacteristic
236C2×C7×C4⋊C4C2311yescharacteristic
237C2×C7×C4⋊C4C2311yescharacteristic
238C2×C7×C4⋊C4C2311yescharacteristic
239C2×C7×C4⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C7×C22⋊C4C2311yescharacteristic
246C2×C7×C22⋊C4C2311yescharacteristic
247C2×C7×C22⋊C4C2311yescharacteristic
248C2×C7×C22⋊C4C2311yescharacteristic
249C2×C7×C22⋊C4C2311yescharacteristic
250C2×C42×C7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257#6500—42no—
258#6493—42no—
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×(C2×D7)⋊C4C2311yescharacteristic
300C2×(C2×D7)⋊C4C2311yescharacteristic
301C2×(C2×D7)⋊C4C2311yescharacteristic
302C2×(C2×D7)⋊C4C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×C4⋊Dic7C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314#6460—42no—
315#6459—42no—
316#6458—42no—
317#6458—42no—
318#6458—42no—
319#6458—42no—
320#6457—42no—
321#6457—42no—
322#6448—42no—
323#6447—42no—
324#6447—42no—
325#6445—24no—
326#6445—42no—
327#6445—42no—
328#6445—42no—
329#6445—42no—
330#6445—42no—
331D7×C22⋊C4—42no—
332D7×C22⋊C4—42no—
333D7×C22⋊C4—42no—
334D7×C22⋊C4—42no—
335C4×D28—42no—
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#2849—71no—
377#2847—71no—
378#2778—71no—
379#2778—71no—
380#2760—71no—
381#2750D711yescharacteristic, complemented
382#2749—71no—
383#2749—71no—
384#2743—71no—
385#2703—71no—
386#2697—71no—
387#2696—71no—
388#2688—71no—
389#2688—71no—
390#2684—71no—
391#2678—71no—
392#2676—71no—
393#2668—71no—
394#2643—71no—
395#2639—71no—
396#2510—71no—
397#2472—71no—
398#2444—71no—
399#2437—71no—
400#2424—71no—
401#2410—71no—
402#2410—71no—
403#2403—71no—
404#2321—71no—
405#2308—71no—
406C2×#386—71no—
407C24×C7C2411yescharacteristic
408C24×C7C2411yescharacteristic
409C23×D7—22no—
410C23×D7—22no—
411C23×D7—22no—
412C23×D7—22no—
413C23×D7—22no—
414C23×D7—22no—
415C23×D7—22no—
416C23×D7—22no—
417C23×D7—41no—
418C23×D7—41no—
419C23×D7—41no—
420C23×D7—41no—
421C23×D7—41no—
422C23×D7—41no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7—41no—
427C23×D7—41no—
428C23×D7—41no—
429C23×D7#4114yes—
430C23×D7C2411yescharacteristic
431C23×D7C2411yescharacteristic
432C23×D7C2411yescharacteristic
433C23×D7C2411yescharacteristic
434C23×D7C2411yescharacteristic
435C23×D7C2411yescharacteristic
436C2×C7×D4—22no—
437C2×C7×D4—22no—
438C2×C7×D4—41no—
439C22×C4×C7—22no—
440C22×C4×C7—22no—
441C22×C4×C7—41no—
442C22×C4×C7—41no—
443C22×C4×C7—41no—
444C22×C4×C7—41no—
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C22×C4×C7C2411yescharacteristic
458C2×C22⋊D7—22no—
459C2×C22⋊D7—22no—
460C2×C22⋊D7—22no—
461C2×C22⋊D7—22no—
462C2×C22⋊D7—22no—
463C2×C22⋊D7—22no—
464C2×C22⋊D7—22no—
465C2×C22⋊D7—22no—
466C2×C22⋊D7—41no—
467C2×C22⋊D7—41no—
468C2×C22⋊D7—41no—
469C2×C22⋊D7—41no—
470C2×C22⋊D7—41no—
471C2×C22⋊D7—41no—
472C2×C22⋊D7—41no—
473C2×C22⋊D7—41no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7—41no—
476C22×Dic7—41no—
477C22×Dic7—41no—
478C22×Dic7—41no—
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489D4×D7—416no—
490C2×D28—22no—
491C2×D28—22no—
492C2×D28—22no—
493C2×D28—22no—
494C2×D28—22no—
495C2×D28—22no—
496C2×D28—22no—
497C2×D28—22no—
498C2×D28—22no—
499C2×D28—22no—
500C2×D28—22no—
501C2×D28—22no—
502C2×D28—22no—
503C2×D28—22no—
504C2×D28—22no—
505C2×D28—22no—
506C2×D28—22no—
507C2×D28—22no—
508C2×D28—41no—
509C2×D28—41no—
510C2×D28—41no—
511C2×D28—41no—
512C2×D28—41no—
513C2×D28—416no—
514C2×D28—41no—
515C2×D28—41no—
516C2×D28—41no—
517C2×D28—41no—
518C2×D28—41no—
519C2×D28—41no—
520C2×D28—41no—
521C2×D28—41no—
522C2×D28—41no—
523C2×D28—41no—
524C2×D28—41no—
525C2×D28—41no—
526C2×D28—41no—
527C2×C4×D7—22no—
528C2×C4×D7—22no—
529C2×C4×D7—22no—
530C2×C4×D7—22no—
531C2×C4×D7—22no—
532C2×C4×D7—22no—
533C2×C4×D7—22no—
534C2×C4×D7—22no—
535C2×C4×D7—22no—
536C2×C4×D7—41no—
537C2×C4×D7—41no—
538C2×C4×D7—41no—
539C2×C4×D7—41no—
540C2×C4×D7—41no—
541C2×C4×D7—41no—
542C2×C4×D7—41no—
543C2×C4×D7—41no—
544C2×C4×D7—416no—
545C2×C4×D7—41no—
546C2×C4×D7—41no—
547C2×C4×D7—41no—
548C2×C4×D7—41no—
549C2×C4×D7—41no—
550C2×C4×D7—41no—
551C2×C4×D7—41no—
552C2×C4×D7—41no—
553C2×C4×D7—41no—
554C2×C4×D7—41no—
555C2×C4×D7—41no—
556C2×C4×D7—41no—
557C2×C4×D7—41no—
558C2×Dic14—41no—
559C2×Dic14—41no—
560C2×Dic14—41no—
561C7×C4⋊C4—22no—
562C7×C4⋊C4—41no—
563C7×C4⋊C4—41no—
564C7×C4⋊C4—41no—
565C7×C4⋊C4—41no—
566C7×C4⋊C4—41no—
567C7×C4⋊C4—41no—
568C7×C22⋊C4—22no—
569C7×C22⋊C4—22no—
570C7×C22⋊C4—22no—
571C7×C22⋊C4—22no—
572C7×C22⋊C4—41no—
573C7×C22⋊C4—41no—
574C7×C22⋊C4—41no—
575C7×C22⋊C4—41no—
576C7×C22⋊C4—41no—
577C7×C22⋊C4—41no—
578C42×C7—41no—
579C22⋊Dic7—22no—
580C22⋊Dic7—41no—
581C22⋊Dic7—41no—
582C22⋊Dic7—41no—
583C22⋊Dic7—41no—
584C22⋊Dic7—41no—
585(C2×D7)⋊C4—22no—
586(C2×D7)⋊C4—22no—
587(C2×D7)⋊C4—22no—
588(C2×D7)⋊C4—22no—
589(C2×D7)⋊C4—22no—
590(C2×D7)⋊C4—22no—
591(C2×D7)⋊C4—22no—
592(C2×D7)⋊C4—22no—
593(C2×D7)⋊C4—22no—
594(C2×D7)⋊C4—41no—
595(C2×D7)⋊C4—41no—
596(C2×D7)⋊C4—41no—
597(C2×D7)⋊C4—41no—
598(C2×D7)⋊C4—41no—
599(C2×D7)⋊C4—41no—
600(C2×D7)⋊C4—41no—
601(C2×D7)⋊C4—41no—
602(C2×D7)⋊C4—41no—
603(C2×D7)⋊C4—41no—
604(C2×D7)⋊C4—41no—
605(C2×D7)⋊C4—41no—
606(C2×D7)⋊C4—41no—
607(C2×D7)⋊C4—41no—
608(C2×D7)⋊C4—41no—
609(C2×D7)⋊C4—41no—
610(C2×D7)⋊C4—41no—
611(C2×D7)⋊C4—41no—
612(C2×D7)⋊C4—41no—
613(C2×D7)⋊C4—41no—
614(C2×D7)⋊C4—41no—
615(C2×D7)⋊C4—41no—
616(C2×D7)⋊C4—41no—
617(C2×D7)⋊C4—41no—
618(C2×D7)⋊C4—41no—
619(C2×D7)⋊C4—41no—
620(C2×D7)⋊C4—41no—
621(C2×D7)⋊C4—41no—
622(C2×D7)⋊C4—41no—
623(C2×D7)⋊C4—41no—
624(C2×D7)⋊C4—41no—
625(C2×D7)⋊C4—41no—
626(C2×D7)⋊C4—41no—
627(C2×D7)⋊C4—41no—
628(C2×D7)⋊C4—41no—
629C4⋊Dic7—22no—
630C4⋊Dic7—41no—
631C4⋊Dic7—41no—
632Dic7⋊C4—41no—
633Dic7⋊C4—41no—
634Dic7⋊C4—41no—
635Dic7⋊C4—41no—
636Dic7⋊C4—41no—
637Dic7⋊C4—41no—
638C4×Dic7—41no—
639C4×Dic7—41no—
640C23×D4—71no—
641C23×D4—71no—
642C24×C4—71no—
643C2×#124—71no—
644C2×#123—71no—
645C2×#123—71no—
646C2×C22⋊Q8—71no—
647C2×C22⋊Q8—71no—
648C2×#121—71no—
649C2×#121—71no—
650C2×#121—71no—
651C2×#121—71no—
652C2×#121—71no—
653C2×#121—71no—
654C2×#121—71no—
655C2×#120—71no—
656C2×#120—71no—
657C2×#120—71no—
658C2×#120—71no—
659C2×#120—71no—
660C2×#120—71no—
661C2×#120—71no—
662C2×C4×D4—71no—
663C22×C22⋊C4—71no—
664C22×C22⋊C4—71no—
665C22×C22⋊C4—71no—
666C22×C22⋊C4—71no—
667#401—71no—
668#401—71no—
669#400—71no—
670#400—71no—
671#400—71no—
672#400—71no—
673#400C2×D711yescharacteristic, complemented
674#400C2×D711yescharacteristic, complemented
675#400C2×D711yescharacteristic, complemented
676#399—71no—
677#397—71no—
678#397—71no—
679#397—71no—
680#397—71no—
681#397—71no—
682#397—71no—
683#397—71no—
684#397—71no—
685#397—71no—
686#397C2×D711yescharacteristic, complemented
687#396—71no—
688#396—71no—
689#396—71no—
690#396C2×D711yescharacteristic, complemented
691#394—71no—
692#394—71no—
693#394—71no—
694#394—71no—
695#394—71no—
696#394—71no—
697#394—71no—
698#394—71no—
699#394—71no—
700#394—71no—
701#394C2×D711yescharacteristic
702#393—71no—
703#393—71no—
704#393—71no—
705#393—71no—
706#392—71no—
707#392—71no—
708#392—71no—
709#392—71no—
710#392—71no—
711#392—71no—
712#392—71no—
713#392—71no—
714#392—71no—
715#390—71no—
716#390—71no—
717#390—71no—
718#390—71no—
719#388—71no—
720#388—71no—
721#388—71no—
722#388—71no—
723#388—71no—
724#388—71no—
725#388—71no—
726#388—71no—
727#388C2×D711yescharacteristic, complemented
728#388C2×D711yescharacteristic, complemented
729#387—71no—
730#387C2×D711yescharacteristic, complemented
731#386—71no—
732#386—71no—
733#386—71no—
734#386—71no—
735#386—71no—
736#386—71no—
737#386—71no—
738#386—71no—
739#386—71no—
740#386—71no—
741#386—71no—
742#386—71no—
743#386—71no—
744#386—71no—
745#386—71no—
746#386—71no—
747#386—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386—71no—
753#386—71no—
754#386—71no—
755#386—71no—
756#386—71no—
757#386—71no—
758#386—71no—
759#386—71no—
760#386—71no—
761#386—71no—
762#386—71no—
763#386—71no—
764#386—71no—
765#386—71no—
766#386C2×D711yescharacteristic
767#386C2×D711yescharacteristic
768#385—71no—
769#385—71no—
770#385—71no—
771#385—71no—
772#385—71no—
773#385—71no—
774#385—71no—
775#385C2×D711yescharacteristic, complemented
776#385C2×D711yescharacteristic, complemented
777#383—71no—
778#381—71no—
779#381—71no—
780#381—71no—
781#381—71no—
782#381C2×D711yescharacteristic, complemented
783#380—71no—
784#380—71no—
785#380—71no—
786#380C2×D711yescharacteristic, complemented
787#379—71no—
788#379—71no—
789#379—71no—
790#379—71no—
791#379—71no—
792C4×C22⋊C4—71no—
793C2×#95—71no—
794C2×#95—71no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—21no—
799C23×C7—21no—
800C23×C7—21no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7C2×#4112yes—
808C23×C7H(5,𝔽2)12yes—
809C23×C7C2511yescharacteristic
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—28no—
815C22×D7—21no—
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7—21no—
820C22×D7—21no—
821C22×D7—21no—
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—21no—
825C22×D7—21no—
826C22×D7—21no—
827C22×D7—28no—
828C22×D7—21no—
829C22×D7—21no—
830C22×D7—21no—
831C22×D7—21no—
832C22×D7—21no—
833C22×D7—21no—
834C22×D7—21no—
835C22×D7—21no—
836C22×D7—21no—
837C22×D7—21no—
838C22×D7—21no—
839C22×D7—21no—
840C22×D7—21no—
841C22×D7—21no—
842C22×D7—21no—
843C22×D7—21no—
844C22×D7—21no—
845C22×D7—21no—
846C22×D7—21no—
847C22×D7—21no—
848C22×D7—21no—
849C22×D7—44no—
850C22×D7—44no—
851C22×D7—44no—
852C22×D7—44no—
853C22×D7—44no—
854C22×D7—44no—
855C22×D7—44no—
856C22×D7—44no—
857C22×D7—44no—
858C22×D7—82no—
859C22×D7—82no—
860C22×D7—82no—
861C22×D7—82no—
862C22×D7—82no—
863C22×D7—82no—
864C22×D7—82no—
865C22×D7—82no—
866C22×D7—82no—
867C22×D7—82no—
868C22×D7C2×#4112yes—
869C22×D7C2×#4112yes—
870C22×D7H(5,𝔽2)12yes—
871C22×D7H(5,𝔽2)12yes—
872C22×D7H(5,𝔽2)12yes—
873C7×D4—44no—
874C2×C4×C7—21no—
875C2×C4×C7—21no—
876C2×C4×C7—21no—
877C2×C4×C7—21no—
878C2×C4×C7—21no—
879C2×C4×C7—21no—
880C2×C4×C7—21no—
881C2×C4×C7—21no—
882C2×C4×C7—21no—
883C2×C4×C7—21no—
884C2×C4×C7—21no—
885C2×C4×C7—21no—
886C2×C4×C7—21no—
887C2×C4×C7—21no—
888C2×C4×C7—21no—
889C2×C4×C7—21no—
890C2×C4×C7—21no—
891C2×C4×C7—21no—
892C2×C4×C7—21no—
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—44no—
913C2×C4×C7—44no—
914C2×C4×C7H(5,𝔽2)12yes—
915C22⋊D7—44no—
916C22⋊D7—44no—
917C22⋊D7—82no—
918C22⋊D7—82no—
919C22⋊D7—82no—
920C22⋊D7—82no—
921C2×Dic7—21no—
922C2×Dic7—21no—
923C2×Dic7—21no—
924C2×Dic7—21no—
925C2×Dic7—21no—
926C2×Dic7—21no—
927C2×Dic7—21no—
928C2×Dic7—21no—
929C2×Dic7—21no—
930C2×Dic7—21no—
931C2×Dic7—21no—
932C2×Dic7—21no—
933C2×Dic7—21no—
934C2×Dic7—21no—
935C2×Dic7—21no—
936C2×Dic7—21no—
937C2×Dic7—21no—
938C2×Dic7—21no—
939C2×Dic7—21no—
940C2×Dic7—21no—
941C2×Dic7—21no—
942C2×Dic7—21no—
943C2×Dic7—21no—
944C2×Dic7—21no—
945C2×Dic7—21no—
946C2×Dic7—21no—
947C2×Dic7—21no—
948C2×Dic7—21no—
949C2×Dic7—21no—
950C2×Dic7—21no—
951C2×Dic7—44no—
952D28—44no—
953D28—44no—
954D28—44no—
955D28—44no—
956D28—44no—
957D28—44no—
958D28—82no—
959D28—82no—
960D28—82no—
961D28—82no—
962D28—82no—
963D28—82no—
964C4×D7—44no—
965C4×D7—44no—
966C4×D7—44no—
967C4×D7—44no—
968C4×D7—44no—
969C4×D7—82no—
970C4×D7—82no—
971C4×D7—82no—
972C4×D7—82no—
973C4×D7—82no—
974Dic14—82no—
975C25—71no—
976C25—71no—
977C25—71no—
978C22×Q8—71no—
979C22×D4—71no—
980C22×D4—71no—
981C22×D4—71no—
982C22×D4—71no—
983C22×D4—71no—
984C22×D4—71no—
985C22×D4—71no—
986C22×D4—71no—
987C22×D4—71no—
988C22×D4—71no—
989C22×D4—71no—
990C22×D4—71no—
991C22×D4—71no—
992C22×D4—71no—
993C22×D4—71no—
994C22×D4—71no—
995C22×D4—71no—
996C22×D4—71no—
997C22×D4—144no—
998C22×D4—144no—
999C22×D4—282no—
1000C22×D4—282no—
1001C22×D4—282no—
1002C22×D4—282no—
1003C22×D4C22×D711yescharacteristic
1004C23×C4—71no—
1005C23×C4—71no—
1006C23×C4—71no—
1007C23×C4—71no—
1008C23×C4—71no—
1009C23×C4—71no—
1010C23×C4—71no—
1011C23×C4—71no—
1012C23×C4—71no—
1013C23×C4—71no—
1014C23×C4—71no—
1015C23×C4—282no—
1016C23×C4—282no—
1017C23×C4—282no—
1018C23×C4C22×D711yescharacteristic
1019C23×C4C22×D711yescharacteristic
1020#124—282no—
1021#123—282no—
1022#123—282no—
1023C22⋊Q8—282no—
1024C22⋊Q8—282no—
1025#121—282no—
1026#121—282no—
1027#121—282no—
1028#121—282no—
1029#121—282no—
1030#121—282no—
1031#121—282no—
1032#120—144no—
1033#120—282no—
1034#120—282no—
1035#120—282no—
1036#120—282no—
1037#120—282no—
1038#120—282no—
1039C4×D4—282no—
1040C2×C4⋊C4—71no—
1041C2×C4⋊C4—71no—
1042C2×C4⋊C4—71no—
1043C2×C4⋊C4—71no—
1044C2×C4⋊C4—71no—
1045C2×C4⋊C4—71no—
1046C2×C4⋊C4—71no—
1047C2×C4⋊C4—71no—
1048C2×C4⋊C4—71no—
1049C2×C4⋊C4C22×D711yescharacteristic
1050C2×C4⋊C4C22×D711yescharacteristic
1051C2×C4⋊C4C22×D711yescharacteristic
1052C2×C4⋊C4C22×D711yescharacteristic
1053C2×C4⋊C4C22×D711yescharacteristic
1054C2×C4⋊C4C22×D711yescharacteristic
1055C2×C4⋊C4C22×D711yescharacteristic
1056C2×C22⋊C4—71no—
1057C2×C22⋊C4—71no—
1058C2×C22⋊C4—71no—
1059C2×C22⋊C4—71no—
1060C2×C22⋊C4—71no—
1061C2×C22⋊C4—71no—
1062C2×C22⋊C4—71no—
1063C2×C22⋊C4—71no—
1064C2×C22⋊C4—71no—
1065C2×C22⋊C4—71no—
1066C2×C22⋊C4—71no—
1067C2×C22⋊C4—71no—
1068C2×C22⋊C4—71no—
1069C2×C22⋊C4—71no—
1070C2×C22⋊C4—71no—
1071C2×C22⋊C4—71no—
1072C2×C22⋊C4—71no—
1073C2×C22⋊C4—71no—
1074C2×C22⋊C4—71no—
1075C2×C22⋊C4—71no—
1076C2×C22⋊C4—71no—
1077C2×C22⋊C4—71no—
1078C2×C22⋊C4—71no—
1079C2×C22⋊C4—71no—
1080C2×C22⋊C4—71no—
1081C2×C22⋊C4—71no—
1082C2×C22⋊C4—71no—
1083C2×C22⋊C4—71no—
1084C2×C22⋊C4—71no—
1085C2×C22⋊C4—71no—
1086C2×C22⋊C4—71no—
1087C2×C22⋊C4—71no—
1088C2×C22⋊C4—71no—
1089C2×C22⋊C4—71no—
1090C2×C22⋊C4—71no—
1091C2×C22⋊C4—71no—
1092C2×C22⋊C4—71no—
1093C2×C22⋊C4—71no—
1094C2×C22⋊C4—71no—
1095C2×C22⋊C4—71no—
1096C2×C22⋊C4—71no—
1097C2×C22⋊C4—71no—
1098C2×C22⋊C4—71no—
1099C2×C22⋊C4—71no—
1100C2×C22⋊C4—71no—
1101C2×C22⋊C4—71no—
1102C2×C22⋊C4—71no—
1103C2×C22⋊C4—71no—
1104C2×C22⋊C4—71no—
1105C2×C22⋊C4—71no—
1106C2×C22⋊C4—282no—
1107C2×C22⋊C4—282no—
1108C2×C22⋊C4—282no—
1109C2×C22⋊C4—282no—
1110C2×C22⋊C4C22×D711yescharacteristic
1111C2×C22⋊C4C22×D711yescharacteristic
1112C2×C22⋊C4C22×D711yescharacteristic
1113C2×C22⋊C4C22×D711yescharacteristic
1114C2×C22⋊C4C22×D711yescharacteristic
1115C2×C22⋊C4C22×D711yescharacteristic
1116C2×C22⋊C4C22×D711yescharacteristic
1117C2×C22⋊C4C22×D711yescharacteristic
1118C2×C22⋊C4C22×D711yescharacteristic
1119C2×C22⋊C4C22×D711yescharacteristic
1120C2×C42—71no—
1121C2×C42—71no—
1122C2×C42C22×D711yescharacteristic
1123#95—71no—
1124#95—71no—
1125#95—71no—
1126#95—71no—
1127#95—71no—
1128#95—71no—
1129#95—71no—
1130#95—71no—
1131#95—71no—
1132#95—71no—
1133#95—71no—
1134#95—71no—
1135#95—71no—
1136#95—71no—
1137#95—71no—
1138#95—71no—
1139#95—71no—
1140#95—71no—
1141#95—71no—
1142#95—71no—
1143#95—71no—
1144#95—71no—
1145#95—71no—
1146#95—71no—
1147#95—71no—
1148#95—71no—
1149#95C22×D711yescharacteristic
1150#95C22×D711yescharacteristic
1151#95C22×D711yescharacteristic
1152#95C22×D711yescharacteristic
1153#95C22×D711yescharacteristic
1154#95C22×D711yescharacteristic
1155#95C22×D711yescharacteristic
1156#95C22×D711yescharacteristic
1157#95C22×D711yescharacteristic
1158#95C22×D711yescharacteristic
1159#95C22×D711yescharacteristic
1160#95C22×D711yescharacteristic
1161#95C22×D711yescharacteristic
1162#95C22×D711yescharacteristic
1163C22×C7—22no—
1164C22×C7—22no—
1165C22×C7—22no—
1166C22×C7—22no—
1167C22×C7—22no—
1168C22×C7—22no—
1169C22×C7—41no—
1170C22×C7—41no—
1171C22×C7—41no—
1172C22×C7—41no—
1173C22×C7—41no—
1174C22×C7—41no—
1175C22×C7—41no—
1176C22×C7—41no—
1177C22×C7C22×#4111yescharacteristic
1178C22×C7C2×H(5,𝔽2)11yescharacteristic
1179C22×C7C2×H(5,𝔽2)11yescharacteristic
1180C22×C7C2×H(5,𝔽2)11yescharacteristic
1181C22×C7C2×H(5,𝔽2)11yescharacteristic
1182C22×C7C2×H(5,𝔽2)11yescharacteristic
1183C22×C7#58511yescharacteristic
1184C2×D7—22no—
1185C2×D7—22no—
1186C2×D7—22no—
1187C2×D7—22no—
1188C2×D7—22no—
1189C2×D7—22no—
1190C2×D7—22no—
1191C2×D7—22no—
1192C2×D7—22no—
1193C2×D7—22no—
1194C2×D7—22no—
1195C2×D7—22no—
1196C2×D7—416no—
1197C2×D7—41no—
1198C2×D7—41no—
1199C2×D7—41no—
1200C2×D7—41no—
1201C2×D7—41no—
1202C2×D7—41no—
1203C2×D7—41no—
1204C2×D7—41no—
1205C2×D7—41no—
1206C2×D7—41no—
1207C2×D7—41no—
1208C2×D7—41no—
1209C2×D7—41no—
1210C2×D7—41no—
1211C2×D7—41no—
1212C2×D7—41no—
1213C2×D7—41no—
1214C2×D7—41no—
1215C2×D7—41no—
1216C2×D7—41no—
1217C2×D7—41no—
1218C2×D7—41no—
1219C2×D7—41no—
1220C2×D7—41no—
1221C2×D7—41no—
1222C2×D7—41no—
1223C2×D7—41no—
1224C2×D7—41no—
1225C2×D7—41no—
1226C2×D7—88no—
1227C2×D7—88no—
1228C2×D7#53814yes—
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—
1242Dic7—41no—
1243Dic7—41no—
1244Dic7—41no—
1245Dic7—41no—
1246Dic7—41no—
1247Dic7—41no—
1248Dic7—41no—
1249Dic7—41no—
1250Dic7—41no—
1251Dic7—41no—
1252C24—71no—
1253C24—71no—
1254C24—71no—
1255C24—74no—
1256C24—71no—
1257C24—71no—
1258C24—71no—
1259C24—142no—
1260C24—142no—
1261C24—142no—
1262C24—142no—
1263C24—142no—
1264C24—142no—
1265C24—142no—
1266C24—142no—
1267C24—281no—
1268C24—281no—
1269C24—281no—
1270C24—281no—
1271C24—281no—
1272C24—281no—
1273C24—281no—
1274C24—281no—
1275C24—281no—
1276C24—281no—
1277C24—281no—
1278C24—281no—
1279C24C23×D711yescharacteristic
1280C24C23×D711yescharacteristic
1281C2×Q8—281no—
1282C2×Q8—281no—
1283C2×Q8—281no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—41no—
1287C2×D4—142no—
1288C2×D4—142no—
1289C2×D4—142no—
1290C2×D4—142no—
1291C2×D4—142no—
1292C2×D4—142no—
1293C2×D4—142no—
1294C2×D4—142no—
1295C2×D4—142no—
1296C2×D4—142no—
1297C2×D4—142no—
1298C2×D4—142no—
1299C2×D4—142no—
1300C2×D4—142no—
1301C2×D4—142no—
1302C2×D4—142no—
1303C2×D4—142no—
1304C2×D4—142no—
1305C2×D4—142no—
1306C2×D4—142no—
1307C2×D4—142no—
1308C2×D4—142no—
1309C2×D4—142no—
1310C2×D4—142no—
1311C2×D4—142no—
1312C2×D4—142no—
1313C2×D4—281no—
1314C2×D4—281no—
1315C2×D4—281no—
1316C2×D4—281no—
1317C2×D4—281no—
1318C2×D4—281no—
1319C2×D4—281no—
1320C2×D4—281no—
1321C2×D4—281no—
1322C2×D4—281no—
1323C2×D4—281no—
1324C2×D4—281no—
1325C2×D4—281no—
1326C2×D4—281no—
1327C2×D4—281no—
1328C2×D4—281no—
1329C2×D4—281no—
1330C2×D4—281no—
1331C2×D4—2816no—
1332C2×D4—281no—
1333C2×D4—281no—
1334C2×D4—281no—
1335C2×D4—281no—
1336C2×D4—281no—
1337C2×D4—281no—
1338C2×D4—281no—
1339C2×D4—281no—
1340C2×D4—281no—
1341C2×D4—281no—
1342C2×D4—2816no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—71no—
1350C22×C4—71no—
1351C22×C4—71no—
1352C22×C4—71no—
1353C22×C4—71no—
1354C22×C4—71no—
1355C22×C4—71no—
1356C22×C4—71no—
1357C22×C4—71no—
1358C22×C4—71no—
1359C22×C4—142no—
1360C22×C4—142no—
1361C22×C4—142no—
1362C22×C4—142no—
1363C22×C4—142no—
1364C22×C4—142no—
1365C22×C4—142no—
1366C22×C4—142no—
1367C22×C4—142no—
1368C22×C4—281no—
1369C22×C4—281no—
1370C22×C4—281no—
1371C22×C4—281no—
1372C22×C4—281no—
1373C22×C4—281no—
1374C22×C4—281no—
1375C22×C4—281no—
1376C22×C4—281no—
1377C22×C4—281no—
1378C22×C4—281no—
1379C22×C4—281no—
1380C22×C4—281no—
1381C22×C4—281no—
1382C22×C4—281no—
1383C22×C4—281no—
1384C22×C4—281no—
1385C22×C4—281no—
1386C22×C4—281no—
1387C22×C4—281no—
1388C22×C4—281no—
1389C22×C4—2816no—
1390C22×C4—281no—
1391C22×C4—281no—
1392C22×C4—281no—
1393C22×C4C23×D711yescharacteristic
1394C22×C4C23×D711yescharacteristic
1395C22×C4C23×D711yescharacteristic
1396C22×C4C23×D711yescharacteristic
1397C22×C4C23×D711yescharacteristic
1398C22×C4C23×D711yescharacteristic
1399C22×C4C23×D711yescharacteristic
1400C22×C4C23×D711yescharacteristic
1401C22×C4C23×D711yescharacteristic
1402C22×C4C23×D711yescharacteristic
1403C22×C4C23×D711yescharacteristic
1404C22×C4C23×D711yescharacteristic
1405C22×C4C23×D711yescharacteristic
1406C4⋊C4—22no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—142no—
1414C4⋊C4—281no—
1415C4⋊C4—281no—
1416C4⋊C4—281no—
1417C4⋊C4—281no—
1418C4⋊C4—281no—
1419C4⋊C4—281no—
1420C4⋊C4—281no—
1421C4⋊C4—281no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—142no—
1433C22⋊C4—142no—
1434C22⋊C4—142no—
1435C22⋊C4—142no—
1436C22⋊C4—142no—
1437C22⋊C4—142no—
1438C22⋊C4—142no—
1439C22⋊C4—142no—
1440C22⋊C4—142no—
1441C22⋊C4—142no—
1442C22⋊C4—281no—
1443C22⋊C4—281no—
1444C22⋊C4—281no—
1445C22⋊C4—281no—
1446C22⋊C4—281no—
1447C22⋊C4—281no—
1448C22⋊C4—281no—
1449C22⋊C4—281no—
1450C22⋊C4—281no—
1451C22⋊C4—281no—
1452C22⋊C4—281no—
1453C22⋊C4—281no—
1454C22⋊C4—281no—
1455C22⋊C4—281no—
1456C22⋊C4—281no—
1457C22⋊C4—281no—
1458C22⋊C4—281no—
1459C22⋊C4—281no—
1460C22⋊C4—281no—
1461C22⋊C4—281no—
1462C22⋊C4—281no—
1463C22⋊C4—281no—
1464C22⋊C4—281no—
1465C22⋊C4—281no—
1466C22⋊C4—281no—
1467C22⋊C4—281no—
1468C22⋊C4—281no—
1469C22⋊C4—281no—
1470C22⋊C4—281no—
1471C22⋊C4—281no—
1472C22⋊C4—281no—
1473C22⋊C4—281no—
1474C22⋊C4—281no—
1475C22⋊C4—281no—
1476C22⋊C4—281no—
1477C22⋊C4—281no—
1478C22⋊C4—281no—
1479C22⋊C4—281no—
1480C22⋊C4—281no—
1481C22⋊C4—281no—
1482C42—41no—
1483C42—281no—
1484C42—281no—
1485C2×C7—42no—
1486C2×C7—42no—
1487C2×C7C2×#53811yescharacteristic
1488C2×C7#349011yescharacteristic
1489C2×C7#350511yescharacteristic
1490C2×C7#353211yescharacteristic
1491C2×C7#353411yescharacteristic
1492C2×C7#353411yescharacteristic
1493C2×C7#353711yescharacteristic
1494D7—24no—
1495D7—42no—
1496D7—42no—
1497D7—81no—
1498D7—81no—
1499D7—81no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—72no—
1513C23—72no—
1514C23—72no—
1515C23—72no—
1516C23—72no—
1517C23—148no—
1518C23—148no—
1519C23—141no—
1520C23—141no—
1521C23—141no—
1522C23—141no—
1523C23—141no—
1524C23—141no—
1525C23—141no—
1526C23—141no—
1527C23—141no—
1528C23—141no—
1529C23—141no—
1530C23—141no—
1531C23—141no—
1532C23—141no—
1533C23—141no—
1534C23—141no—
1535C23—141no—
1536C23—141no—
1537C23—141no—
1538C23—141no—
1539C23—141no—
1540C23—141no—
1541C23—141no—
1542C23—141no—
1543C23—141no—
1544C23—141no—
1545C23—141no—
1546C23—141no—
1547C23—141no—
1548C23—141no—
1549C23—141no—
1550C23—141no—
1551C23—141no—
1552C23—141no—
1553C23—141no—
1554C23—141no—
1555C23—141no—
1556C23—284no—
1557C23—284no—
1558C23—284no—
1559C23—284no—
1560C23—284no—
1561C23—284no—
1562C23—284no—
1563C23—284no—
1564C23—284no—
1565C23—562no—
1566C23—562no—
1567C23—562no—
1568C23—562no—
1569C23—562no—
1570C23—562no—
1571C23—562no—
1572C23—562no—
1573C23—562no—
1574C23—562no—
1575C23D7×#4112yes—
1576C23#655312yes—
1577C23C24×D711yescharacteristic
1578Q8—562no—
1579D4—44no—
1580D4—284no—
1581D4—284no—
1582D4—284no—
1583D4—284no—
1584D4—284no—
1585D4—284no—
1586D4—284no—
1587D4—284no—
1588D4—562no—
1589D4—562no—
1590D4—562no—
1591D4—562no—
1592D4—562no—
1593D4—562no—
1594D4—562no—
1595D4—562no—
1596D4—562no—
1597D4—562no—
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—44no—
1637C2×C4—44no—
1638C2×C4—141no—
1639C2×C4—141no—
1640C2×C4—141no—
1641C2×C4—141no—
1642C2×C4—141no—
1643C2×C4—141no—
1644C2×C4—141no—
1645C2×C4—141no—
1646C2×C4—141no—
1647C2×C4—141no—
1648C2×C4—141no—
1649C2×C4—141no—
1650C2×C4—141no—
1651C2×C4—141no—
1652C2×C4—141no—
1653C2×C4—141no—
1654C2×C4—141no—
1655C2×C4—141no—
1656C2×C4—141no—
1657C2×C4—141no—
1658C2×C4—141no—
1659C2×C4—141no—
1660C2×C4—141no—
1661C2×C4—141no—
1662C2×C4—141no—
1663C2×C4—141no—
1664C2×C4—141no—
1665C2×C4—141no—
1666C2×C4—141no—
1667C2×C4—141no—
1668C2×C4—284no—
1669C2×C4—284no—
1670C2×C4—284no—
1671C2×C4—284no—
1672C2×C4—284no—
1673C2×C4—284no—
1674C2×C4—562no—
1675C2×C4—562no—
1676C2×C4—562no—
1677C2×C4—562no—
1678C2×C4—562no—
1679C2×C4#655312yes—
1680C7#3677611yescharacteristic, complemented, Sylow
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—74no—
1696C22—142no—
1697C22—142no—
1698C22—142no—
1699C22—142no—
1700C22—142no—
1701C22—142no—
1702C22—142no—
1703C22—142no—
1704C22—142no—
1705C22—142no—
1706C22—142no—
1707C22—142no—
1708C22—2816no—
1709C22—281no—
1710C22—281no—
1711C22—281no—
1712C22—281no—
1713C22—281no—
1714C22—281no—
1715C22—281no—
1716C22—281no—
1717C22—281no—
1718C22—281no—
1719C22—281no—
1720C22—281no—
1721C22—281no—
1722C22—281no—
1723C22—281no—
1724C22—281no—
1725C22—281no—
1726C22—281no—
1727C22—281no—
1728C22—281no—
1729C22—281no—
1730C22—281no—
1731C22—281no—
1732C22—281no—
1733C22—281no—
1734C22—281no—
1735C22—281no—
1736C22—281no—
1737C22—281no—
1738C22—568no—
1739C22—568no—
1740C22C2×D7×#4111yescharacteristic
1741C22C2×#655311yescharacteristic
1742C22C2×#655311yescharacteristic
1743C22D7×H(5,𝔽2)11yescharacteristic
1744C22D7×H(5,𝔽2)11yescharacteristic
1745C22D7×H(5,𝔽2)11yescharacteristic
1746C22#9062011yescharacteristic
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—281no—
1761C4—281no—
1762C4—281no—
1763C4—281no—
1764C4—281no—
1765C4—281no—
1766C4—281no—
1767C4—281no—
1768C4—281no—
1769C4—281no—
1770C2—42no—
1771C2—42no—
1772C2—144no—
1773C2—282no—
1774C2—282no—
1775C2—561no—
1776C2—561no—
1777C2—561no—
1778C2D7×#53811yescharacteristic
1779C2#1174348611yescharacteristic
1780C2#1174352711yescharacteristic
1781C2#1174388311yescharacteristic
1782C2#1174393011yescharacteristic
1783C2#1174398411yescharacteristic
1784C2#1174417711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2750C2
hypercenter#2750D7
hypocenterC7#36776
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2750

Complements

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

NH ≅ G/Ntype
1. C7×#2750C2semidirect
2. #11735835C2semidirect
3. #11735810C2semidirect
4. #11735807C2semidirect
5. #11735806C2semidirect
6. #11735800C2semidirect
7. #11735686C2semidirect
8. #11735138C2semidirect
9. #11734919C2semidirect
10. #11734875C2semidirect
11. #11734863C2semidirect
12. #11734585C2semidirect
13. #11734553C2semidirect
14. #11733368C2semidirect
15. #11733291C2semidirect
16. #11733272C2semidirect
17. #11733215C2semidirect
18. #11732765C2semidirect
19. #11732597C2semidirect
20. #11732356C2semidirect
21. #11732329C2semidirect
22. D7×#386C2semidirect
23. #11732285C2semidirect
24. #11732101C2semidirect
25. #11732087C2semidirect
26. #11732046C2semidirect
27. #11731954C2semidirect
28. #11731588C2semidirect
29. #11731564C2semidirect
30. #11731493C2semidirect
31. #11731490C2semidirect
34. C23×C4×D7C22semidirect
36. C2×#6493C22semidirect
37. C2×#6460C22semidirect
38. C2×#6459C22semidirect
41. C2×#6458C22semidirect
42. C2×#6458C22semidirect
43. C2×#6457C22semidirect
44. C2×#6457C22semidirect
45. C2×#6448C22semidirect
46. C2×#6447C22semidirect
47. C2×#6447C22semidirect
52. C2×#6445C22semidirect
53. C2×#6445C22semidirect
57. C2×D7×C22⋊C4C22semidirect
58. C2×C4×D28C22semidirect
59. C7×#400C22semidirect
60. C7×#400C22semidirect
61. C7×#400C22semidirect
62. C7×#397C22semidirect
63. C7×#396C22semidirect
65. C7×#388C22semidirect
66. C7×#388C22semidirect
67. C7×#387C22semidirect
70. C7×#385C22semidirect
71. C7×#385C22semidirect
72. C7×#381C22semidirect
73. C7×#380C22semidirect
77. #89985C22semidirect
78. #89985C22semidirect
79. #89985C22semidirect
80. #89983C22semidirect
81. #89766C22semidirect
82. #89766C22semidirect
83. #89765C22semidirect
84. #89763C22semidirect
85. #89763C22semidirect
86. #89763C22semidirect
87. #89763C22semidirect
88. #89762C22semidirect
89. #89762C22semidirect
90. #89761C22semidirect
91. #89761C22semidirect
92. #89761C22semidirect
93. #89761C22semidirect
94. #89761C22semidirect
95. #89760C22semidirect
96. #89760C22semidirect
97. #89759C22semidirect
98. #89759C22semidirect
99. #89758C22semidirect
100. #89754C22semidirect
101. #89733C22semidirect
102. #89733C22semidirect
107. #89731C22semidirect
108. #89730C22semidirect
109. #89730C22semidirect
110. #89730C22semidirect
111. #89730C22semidirect
112. #89729C22semidirect
115. #89728C22semidirect
116. #89728C22semidirect
118. #89727C22semidirect
119. #89727C22semidirect
120. #89727C22semidirect
121. #89727C22semidirect
122. #89723C22semidirect
123. #89721C22semidirect
124. #89720C22semidirect
125. #89719C22semidirect
126. #89718C22semidirect
127. #89717C22semidirect
128. #89712C22semidirect
129. #89712C22semidirect
130. #89711C22semidirect
131. #89447C22semidirect
132. #89447C22semidirect
133. #89447C22semidirect
134. #89447C22semidirect
135. #89447C22semidirect
136. #89447C22semidirect
137. #89446C22semidirect
138. #89446C22semidirect
139. #89445C22semidirect
140. #89445C22semidirect
141. #89445C22semidirect
142. #89444C22semidirect
143. #89444C22semidirect
146. #89443C22semidirect
147. #89443C22semidirect
148. #89443C22semidirect
149. #89442C22semidirect
150. #89441C22semidirect
151. #89440C22semidirect
152. #89439C22semidirect
153. #89438C22semidirect
162. #89437C22semidirect
163. #89437C22semidirect
164. #89437C22semidirect
165. #89437C22semidirect
166. #89437C22semidirect
167. #89437C22semidirect
168. #89437C22semidirect
169. #89437C22semidirect
170. #89437C22semidirect
171. #89437C22semidirect
172. #89437C22semidirect
173. #89437C22semidirect
174. #89437C22semidirect
175. #89437C22semidirect
176. #89436C22semidirect
177. #89436C22semidirect
178. #89436C22semidirect
179. D7×#95C22semidirect
180. D7×#95C22semidirect
181. C7⋊#401C22semidirect
182. C7⋊#401C22semidirect
183. #89431C22semidirect
184. #89430C22semidirect
185. #89425C22semidirect
186. #89423C22semidirect
381. #2750D7semidirect
673. #400C2×D7semidirect
674. #400C2×D7semidirect
675. #400C2×D7semidirect
686. #397C2×D7semidirect
690. #396C2×D7semidirect
727. #388C2×D7semidirect
728. #388C2×D7semidirect
730. #387C2×D7semidirect
775. #385C2×D7semidirect
776. #385C2×D7semidirect
782. #381C2×D7semidirect
786. #380C2×D7semidirect
1680. C7#36776semidirect

Maximal subgroups

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

subgroupindex
C7×#27502
#117358352
#117358102
#117358072
#117358062
#117358002
#117356862
#117351382
#117349192
#117348752
#117348632
#117345852
#117345532
#117333682
#117332912
#117332722
#117332152
#117327652
#117325972
#117323562
#117323292
D7×#3862
#117322852
#117321012
#117320872
#117320462
#117319542
#117315882
#117315642
#117314932
#117314902
#367767