Finite Group Databasebeta

← #13562137

Subgroups — #13562137

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×#2437C211yesmaximal, characteristic, complemented
2#11740272C211yesmaximal, characteristic, complemented
3#11740269C211yesmaximal, characteristic, complemented
4#11740243C211yesmaximal, characteristic, complemented
5#11740214C211yesmaximal, characteristic, complemented
6#11739572C211yesmaximal, characteristic, complemented
7#11739572C211yesmaximal, characteristic, complemented
8#11739566C211yesmaximal, characteristic, complemented
9C2×#89728C211yesmaximal, characteristic, complemented
10#11735567C211yesmaximal, characteristic, complemented
11#11735557C211yesmaximal, characteristic, complemented
12#11734882C211yesmaximal, characteristic, complemented
13#11734875C211yesmaximal, characteristic, complemented
14#11734824C211yesmaximal, characteristic, complemented
15#11734823C211yesmaximal, characteristic, complemented
16#11734321C211yesmaximal, characteristic, complemented
17#11734287C211yesmaximal, characteristic, complemented
18#11732101C211yesmaximal, characteristic, complemented
19#11732094C211yesmaximal, characteristic, complemented
20#11732091C211yesmaximal, characteristic, complemented
21#11732079C211yesmaximal, characteristic, complemented
22#11732079C211yesmaximal, characteristic, complemented
23#11732070C211yesmaximal, characteristic, complemented
24#11732050C211yesmaximal, characteristic, complemented
25#11731864C211yesmaximal, characteristic, complemented
26#11731493C211yesmaximal, characteristic, complemented
27#11731490C211yesmaximal, characteristic, complemented
28#11731411C211yesmaximal, characteristic, complemented
29#11731373C211yesmaximal, characteristic, complemented
30#11731297C211yesmaximal, characteristic, complemented
31#11731266C211yesmaximal, characteristic, complemented
32C23×C22⋊D7C2211yescharacteristic
33C23×C22⋊D7C2211yescharacteristic
34C23×C4×D7C2211yescharacteristic, complemented
35C2×C7×C22⋊Q8C2211yescharacteristic, complemented
36C2×C7×C22⋊Q8C2211yescharacteristic, complemented
37C22×C7×C22⋊C4C2211yescharacteristic
38C22×C7×C22⋊C4C2211yescharacteristic
39C2×#6516C2211yescharacteristic
40C22×C22⋊Dic7C2211yescharacteristic
41C2×#6510C2211yescharacteristic, complemented
42C2×#6493C2211yescharacteristic
43C2×#6493C2211yescharacteristic
44C2×#6493C2211yescharacteristic, complemented
45C2×#6493C2211yescharacteristic, complemented
46C22×(C2×D7)⋊C4C2211yescharacteristic, complemented
47C2×#6458C2211yescharacteristic, complemented
48C2×#6458C2211yescharacteristic, complemented
49C2×#6458C2211yescharacteristic, complemented
50C2×#6457C2211yescharacteristic, complemented
51C2×#6457C2211yescharacteristic, complemented
52C2×#6445C2211yescharacteristic
53C2×#6445C2211yescharacteristic
54C2×#6445C2211yescharacteristic
55C2×#6445C2211yescharacteristic
56C2×#6445C2211yescharacteristic, complemented
57C2×#6445C2211yescharacteristic, complemented
58C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
59C7×#399C2211yescharacteristic, complemented
60C7×#396C2211yescharacteristic, complemented
61C7×#396C2211yescharacteristic, complemented
62C7×#393C2211yescharacteristic, complemented
63C7×#385C2211yescharacteristic, complemented
64C7×#385C2211yescharacteristic, complemented
65C7×#385C2211yescharacteristic, complemented
66C7×#385C2211yescharacteristic, complemented
67C7×#380C2211yescharacteristic, complemented
68C7×#380C2211yescharacteristic, complemented
69C7×#379C2211yescharacteristic
70#90003C2211yescharacteristic, complemented
71#90003C2211yescharacteristic, complemented
72#90003C2211yescharacteristic, complemented
73#89985C2211yescharacteristic
74#89985C2211yescharacteristic
75#89985C2211yescharacteristic, complemented
76#89985C2211yescharacteristic, complemented
77#89985C2211yescharacteristic, complemented
78#89985C2211yescharacteristic, complemented
79#89985C2211yescharacteristic, complemented
80#89985C2211yescharacteristic, complemented
81C2×C7⋊#95C2211yescharacteristic, complemented
82C2×C7⋊#95C2211yescharacteristic, complemented
83#89766C2211yescharacteristic, complemented
84#89766C2211yescharacteristic, complemented
85#89765C2211yescharacteristic, complemented
86#89765C2211yescharacteristic, complemented
87#89765C2211yescharacteristic, complemented
88#89765C2211yescharacteristic, complemented
89#89765C2211yescharacteristic, complemented
90#89765C2211yescharacteristic, complemented
91#89763C2211yescharacteristic, complemented
92#89763C2211yescharacteristic, complemented
93#89763C2211yescharacteristic, complemented
94#89763C2211yescharacteristic, complemented
95#89763C2211yescharacteristic, complemented
96#89763C2211yescharacteristic, complemented
97#89762C2211yescharacteristic, complemented
98#89762C2211yescharacteristic, complemented
99#89762C2211yescharacteristic, complemented
100#89762C2211yescharacteristic, complemented
101#89761C2211yescharacteristic, complemented
102#89761C2211yescharacteristic, complemented
103#89760C2211yescharacteristic, complemented
104#89760C2211yescharacteristic, complemented
105#89759C2211yescharacteristic, complemented
106#89759C2211yescharacteristic, complemented
107#89758C2211yescharacteristic, complemented
108#89758C2211yescharacteristic, complemented
109#89758C2211yescharacteristic, complemented
110#89758C2211yescharacteristic, complemented
111#89754C2211yescharacteristic, complemented
112#89753C2211yescharacteristic, complemented
113#89753C2211yescharacteristic, complemented
114#89733C2211yescharacteristic
115#89733C2211yescharacteristic
116#89733C2211yescharacteristic, complemented
117#89733C2211yescharacteristic, complemented
118#89732C2211yescharacteristic
119#89732C2211yescharacteristic
120#89732C2211yescharacteristic
121#89732C2211yescharacteristic
122#89732C2211yescharacteristic
123#89732C2211yescharacteristic
124#89732C2211yescharacteristic, complemented
125#89732C2211yescharacteristic, complemented
126#89730C2211yescharacteristic
127#89730C2211yescharacteristic
128#89730C2211yescharacteristic
129#89730C2211yescharacteristic
130#89730C2211yescharacteristic
131#89730C2211yescharacteristic
132#89730C2211yescharacteristic
133#89730C2211yescharacteristic
134#89730C2211yescharacteristic, complemented
135#89730C2211yescharacteristic, complemented
136#89730C2211yescharacteristic, complemented
137#89729C2211yescharacteristic, complemented
138#89729C2211yescharacteristic, complemented
139#89728C2211yescharacteristic
140#89728C2211yescharacteristic
141#89728C2211yescharacteristic
142#89728C2211yescharacteristic
143#89728C2211yescharacteristic, complemented
144#89728C2211yescharacteristic, complemented
145#89728C2211yescharacteristic, complemented
146#89728C2211yescharacteristic, complemented
147#89728C2211yescharacteristic, complemented
148#89728C2211yescharacteristic, complemented
149#89727C2211yescharacteristic, complemented
150#89727C2211yescharacteristic, complemented
151#89727C2211yescharacteristic, complemented
152#89727C2211yescharacteristic, complemented
153#89722C2211yescharacteristic, complemented
154#89722C2211yescharacteristic, complemented
155#89718C2211yescharacteristic, complemented
156#89717C2211yescharacteristic, complemented
157#89717C2211yescharacteristic, complemented
158#89716C2211yescharacteristic, complemented
159#89716C2211yescharacteristic, complemented
160#89715C2211yescharacteristic, complemented
161#89715C2211yescharacteristic, complemented
162C22⋊C4×Dic7C2211yescharacteristic, complemented
163#89447C2211yescharacteristic, complemented
164#89447C2211yescharacteristic, complemented
165#89446C2211yescharacteristic, complemented
166#89446C2211yescharacteristic, complemented
167#89444C2211yescharacteristic, complemented
168#89443C2211yescharacteristic, complemented
169#89442C2211yescharacteristic, complemented
170#89442C2211yescharacteristic, complemented
171#89437C2211yescharacteristic, complemented
172#89437C2211yescharacteristic, complemented
173#89437C2211yescharacteristic, complemented
174#89437C2211yescharacteristic, complemented
175#89437C2211yescharacteristic, complemented
176#89437C2211yescharacteristic, complemented
177#89437C2211yescharacteristic, complemented
178#89437C2211yescharacteristic, complemented
179#89436C2211yescharacteristic, complemented
180#89436C2211yescharacteristic, complemented
181#89436C2211yescharacteristic, complemented
182C7⋊#401C2211yescharacteristic, complemented
183C7⋊#401C2211yescharacteristic, complemented
184#89432C2211yescharacteristic, complemented
185#89432C2211yescharacteristic, complemented
186#89423C2211yescharacteristic, complemented
187#36776—71nomaximal, Sylow
188C25×C7C2311yescharacteristic
189C24×D7C2311yescharacteristic
190C24×D7C2311yescharacteristic
191C22×C7×Q8C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C22×C22⋊D7—24no—
197C22×C22⋊D7—24no—
198C22×C22⋊D7—42no—
199C22×C22⋊D7—42no—
200C22×C22⋊D7—42no—
201C22×C22⋊D7—42no—
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C22×C22⋊D7C2311yescharacteristic
209C22×C22⋊D7C2311yescharacteristic
210C22×C22⋊D7C2311yescharacteristic
211C22×C22⋊D7C2311yescharacteristic
212C22×C22⋊D7C2311yescharacteristic
213C23×Dic7C2311yescharacteristic
214C23×Dic7C2311yescharacteristic
215C23×Dic7C2311yescharacteristic
216C23×Dic7C2311yescharacteristic
217C22×D28C2311yescharacteristic
218C22×D28C2311yescharacteristic
219C22×D28C2311yescharacteristic
220C22×D28C2311yescharacteristic
221C22×D28C2311yescharacteristic
222C22×D28C2311yescharacteristic
223C22×D28C2311yescharacteristic
224C22×D28C2311yescharacteristic
225C22×C4×D7—42no—
226C22×C4×D7—42no—
227C22×C4×D7—42no—
228C22×C4×D7C2311yescharacteristic
229C22×C4×D7C2311yescharacteristic
230C22×C4×D7C2311yescharacteristic
231C22×C4×D7C2311yescharacteristic
232C22×C4×D7C2311yescharacteristic
233C7×C22⋊Q8—42no—
234C7×C22⋊Q8—42no—
235C2×C7×C4⋊C4C2311yescharacteristic
236C2×C7×C4⋊C4C2311yescharacteristic
237C2×C7×C4⋊C4C2311yescharacteristic
238C2×C7×C4⋊C4C2311yescharacteristic
239C2×C7×C4⋊C4C2311yescharacteristic
240C2×C7×C4⋊C4C2311yescharacteristic
241C2×C7×C4⋊C4C2311yescharacteristic
242C2×C7×C4⋊C4C2311yescharacteristic
243C2×C7×C4⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4—42no—
245C2×C7×C22⋊C4—42no—
246C2×C7×C22⋊C4C2311yescharacteristic
247C2×C7×C22⋊C4C2311yescharacteristic
248C2×C7×C22⋊C4C2311yescharacteristic
249C2×C7×C22⋊C4C2311yescharacteristic
250C2×C7×C22⋊C4C2311yescharacteristic
251C2×C7×C22⋊C4C2311yescharacteristic
252C2×C7×C22⋊C4C2311yescharacteristic
253C2×C7×C22⋊C4C2311yescharacteristic
254C2×C7×C22⋊C4C2311yescharacteristic
255C2×C7×C22⋊C4C2311yescharacteristic
256C2×C7×C22⋊C4C2311yescharacteristic
257C2×C7×C22⋊C4C2311yescharacteristic
258C2×C7×C22⋊C4C2311yescharacteristic
259C2×C7×C22⋊C4C2311yescharacteristic
260#6516—24no—
261C2×C22⋊Dic7—42no—
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264C2×C22⋊Dic7C2311yescharacteristic
265C2×C22⋊Dic7C2311yescharacteristic
266C2×C22⋊Dic7C2311yescharacteristic
267C2×C22⋊Dic7C2311yescharacteristic
268C2×C22⋊Dic7C2311yescharacteristic
269#6510—42no—
270#6493—42no—
271#6493—42no—
272#6493—42no—
273#6493—42no—
274C2×(C2×D7)⋊C4—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
304C2×(C2×D7)⋊C4C2311yescharacteristic
305C2×(C2×D7)⋊C4C2311yescharacteristic
306C2×(C2×D7)⋊C4C2311yescharacteristic
307C2×(C2×D7)⋊C4C2311yescharacteristic
308C2×(C2×D7)⋊C4C2311yescharacteristic
309C2×(C2×D7)⋊C4C2311yescharacteristic
310C2×(C2×D7)⋊C4C2311yescharacteristic
311C2×(C2×D7)⋊C4C2311yescharacteristic
312C2×(C2×D7)⋊C4C2311yescharacteristic
313C2×(C2×D7)⋊C4C2311yescharacteristic
314C2×C4⋊Dic7C2311yescharacteristic
315C2×C4⋊Dic7C2311yescharacteristic
316C2×C4⋊Dic7C2311yescharacteristic
317C2×C4⋊Dic7C2311yescharacteristic
318C2×Dic7⋊C4C2311yescharacteristic
319C2×Dic7⋊C4C2311yescharacteristic
320C2×Dic7⋊C4C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324#6458—42no—
325#6458—42no—
326#6458—42no—
327#6457—42no—
328#6457—42no—
329#6445—42no—
330#6445—42no—
331#6445—42no—
332#6445—42no—
333#6445—42no—
334#6445—42no—
335(C22⋊D7)⋊C4—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#2750—71no—
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#2437D711yescharacteristic, complemented
400#2424—71no—
401#2410—71no—
402#2410—71no—
403#2403—71no—
404#2321—71no—
405#2308—71no—
406C2×#386—71no—
407C24×C7—22no—
408C24×C7—22no—
409C24×C7—41no—
410C24×C7—41no—
411C24×C7—41no—
412C24×C7—41no—
413C24×C7#4114yes—
414C24×C7C2411yescharacteristic
415C24×C7C2411yescharacteristic
416C24×C7C2411yescharacteristic
417C23×D7—22no—
418C23×D7—22no—
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—22no—
422C23×D7—22no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7—41no—
427C23×D7—41no—
428C23×D7—41no—
429C23×D7—41no—
430C23×D7—41no—
431C23×D7C2411yescharacteristic
432C23×D7C2411yescharacteristic
433C23×D7C2411yescharacteristic
434C23×D7C2411yescharacteristic
435C23×D7C2411yescharacteristic
436C2×C7×Q8—41no—
437C2×C7×Q8—41no—
438C2×C7×Q8—41no—
439C22×C4×C7—22no—
440C22×C4×C7—22no—
441C22×C4×C7—22no—
442C22×C4×C7—41no—
443C22×C4×C7—41no—
444C22×C4×C7—41no—
445C22×C4×C7—41no—
446C22×C4×C7—41no—
447C22×C4×C7—41no—
448C22×C4×C7—41no—
449C22×C4×C7—41no—
450C22×C4×C7—41no—
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C22×C4×C7C2411yescharacteristic
460C22×C4×C7C2411yescharacteristic
461C22×C4×C7C2411yescharacteristic
462C22×C4×C7C2411yescharacteristic
463C2×C22⋊D7—22no—
464C2×C22⋊D7—22no—
465C2×C22⋊D7—22no—
466C2×C22⋊D7—22no—
467C2×C22⋊D7—22no—
468C2×C22⋊D7—22no—
469C2×C22⋊D7—22no—
470C2×C22⋊D7—22no—
471C2×C22⋊D7—22no—
472C2×C22⋊D7—22no—
473C2×C22⋊D7—22no—
474C2×C22⋊D7—22no—
475C2×C22⋊D7—22no—
476C2×C22⋊D7—22no—
477C2×C22⋊D7—22no—
478C2×C22⋊D7—22no—
479C2×C22⋊D7—22no—
480C2×C22⋊D7—22no—
481C2×C22⋊D7—22no—
482C2×C22⋊D7—22no—
483C2×C22⋊D7—22no—
484C2×C22⋊D7—41no—
485C2×C22⋊D7—41no—
486C2×C22⋊D7—41no—
487C2×C22⋊D7—41no—
488C2×C22⋊D7—41no—
489C2×C22⋊D7—41no—
490C2×C22⋊D7—41no—
491C2×C22⋊D7—41no—
492C2×C22⋊D7—41no—
493C2×C22⋊D7—41no—
494C2×C22⋊D7—41no—
495C2×C22⋊D7—41no—
496C2×C22⋊D7—416no—
497C2×C22⋊D7—416no—
498C22×Dic7—22no—
499C22×Dic7—22no—
500C22×Dic7—22no—
501C22×Dic7—22no—
502C22×Dic7—41no—
503C22×Dic7—41no—
504C22×Dic7—41no—
505C22×Dic7—41no—
506C22×Dic7—41no—
507C22×Dic7—41no—
508C22×Dic7—41no—
509C22×Dic7—41no—
510C22×Dic7C2411yescharacteristic
511C22×Dic7C2411yescharacteristic
512C22×Dic7C2411yescharacteristic
513C22×Dic7C2411yescharacteristic
514C22×Dic7C2411yescharacteristic
515C22×Dic7C2411yescharacteristic
516C22×Dic7C2411yescharacteristic
517C22×Dic7C2411yescharacteristic
518C22×Dic7C2411yescharacteristic
519C22×Dic7C2411yescharacteristic
520C22×Dic7C2411yescharacteristic
521C2×D28—22no—
522C2×D28—22no—
523C2×D28—22no—
524C2×D28—22no—
525C2×D28—22no—
526C2×D28—22no—
527C2×D28—22no—
528C2×D28—41no—
529C2×D28—41no—
530C2×D28—41no—
531C2×D28—41no—
532C2×D28—41no—
533C2×D28—41no—
534C2×D28—41no—
535C2×D28—41no—
536C2×D28—41no—
537C2×D28—41no—
538C2×D28—41no—
539C2×D28—41no—
540C2×D28—41no—
541C2×D28—41no—
542C2×D28—41no—
543C2×D28—41no—
544C2×D28—41no—
545C2×C4×D7—22no—
546C2×C4×D7—22no—
547C2×C4×D7—22no—
548C2×C4×D7—22no—
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—416no—
558C2×C4×D7—41no—
559C2×C4×D7—41no—
560C2×C4×D7—41no—
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×C22⋊C4—22no—
571C7×C22⋊C4—22no—
572C7×C22⋊C4—22no—
573C7×C22⋊C4—22no—
574C7×C22⋊C4—22no—
575C7×C22⋊C4—22no—
576C7×C22⋊C4—41no—
577C7×C22⋊C4—41no—
578C7×C22⋊C4—41no—
579C7×C22⋊C4—41no—
580C7×C22⋊C4—41no—
581C7×C22⋊C4—41no—
582C7×C22⋊C4—41no—
583C7×C22⋊C4—41no—
584C22⋊Dic7—22no—
585C22⋊Dic7—22no—
586C22⋊Dic7—22no—
587C22⋊Dic7—41no—
588C22⋊Dic7—41no—
589C22⋊Dic7—41no—
590C22⋊Dic7—41no—
591(C2×D7)⋊C4—22no—
592(C2×D7)⋊C4—22no—
593(C2×D7)⋊C4—22no—
594(C2×D7)⋊C4—22no—
595(C2×D7)⋊C4—22no—
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—
629(C2×D7)⋊C4—41no—
630C4⋊Dic7—41no—
631C4⋊Dic7—41no—
632C4⋊Dic7—41no—
633C4⋊Dic7—41no—
634Dic7⋊C4—41no—
635Dic7⋊C4—41no—
636Dic7⋊C4—41no—
637C4×Dic7—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⋊Q8C2×D711yescharacteristic, complemented
647C2×C22⋊Q8C2×D711yescharacteristic, complemented
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⋊C4C2×D711yescharacteristic
666C22×C22⋊C4C2×D711yescharacteristic
667#401—71no—
668#401—71no—
669#400—71no—
670#400—71no—
671#400—71no—
672#400—71no—
673#400—71no—
674#400—71no—
675#400—71no—
676#399C2×D711yescharacteristic, complemented
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#397—71no—
687#396—71no—
688#396—71no—
689#396C2×D711yescharacteristic, complemented
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#394—71no—
702#393—71no—
703#393—71no—
704#393—71no—
705#393C2×D711yescharacteristic, complemented
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#388—71no—
728#388—71no—
729#387—71no—
730#387—71no—
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#386—71no—
767#386—71no—
768#385—71no—
769#385—71no—
770#385—71no—
771#385—71no—
772#385—71no—
773#385C2×D711yescharacteristic, complemented
774#385C2×D711yescharacteristic, complemented
775#385C2×D711yescharacteristic, complemented
776#385C2×D711yescharacteristic, complemented
777#383—71no—
778#381—71no—
779#381—71no—
780#381—71no—
781#381—71no—
782#381—71no—
783#380—71no—
784#380—71no—
785#380C2×D711yescharacteristic, complemented
786#380C2×D711yescharacteristic, complemented
787#379—71no—
788#379—71no—
789#379—71no—
790#379—71no—
791#379C2×D711yescharacteristic
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×C7—21no—
808C23×C7—21no—
809C23×C7—21no—
810C23×C7—21no—
811C23×C7—28no—
812C23×C7—44no—
813C23×C7—44no—
814C23×C7—82no—
815C23×C7—82no—
816C23×C7—82no—
817C23×C7—82no—
818C23×C7C2×#4112yes—
819C23×C7C2×#4112yes—
820C23×C7C2×#4112yes—
821C23×C7H(5,𝔽2)12yes—
822C23×C7H(5,𝔽2)12yes—
823C23×C7C2511yescharacteristic
824C22×D7—28no—
825C22×D7—21no—
826C22×D7—21no—
827C22×D7—21no—
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—21no—
850C22×D7—21no—
851C22×D7—21no—
852C22×D7—21no—
853C22×D7—21no—
854C22×D7—21no—
855C22×D7—21no—
856C22×D7—21no—
857C22×D7—21no—
858C22×D7—44no—
859C22×D7—44no—
860C22×D7—44no—
861C22×D7—44no—
862C22×D7—44no—
863C22×D7—44no—
864C22×D7—44no—
865C22×D7—82no—
866C22×D7—82no—
867C22×D7—82no—
868C22×D7—82no—
869C22×D7—82no—
870C22×D7—82no—
871C22×D7H(5,𝔽2)12yes—
872C22×D7H(5,𝔽2)12yes—
873C7×Q8—82no—
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—44no—
910C2×C4×C7—82no—
911C2×C4×C7—82no—
912C2×C4×C7—82no—
913C2×C4×C7H(5,𝔽2)12yes—
914C22⋊D7—44no—
915C22⋊D7—44no—
916C22⋊D7—44no—
917C22⋊D7—44no—
918C22⋊D7—44no—
919C22⋊D7—44no—
920C22⋊D7—44no—
921C22⋊D7—44no—
922C22⋊D7—44no—
923C22⋊D7—82no—
924C22⋊D7—82no—
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—21no—
952C2×Dic7—21no—
953C2×Dic7—21no—
954C2×Dic7—21no—
955C2×Dic7—21no—
956C2×Dic7—21no—
957C2×Dic7—21no—
958C2×Dic7—44no—
959C2×Dic7—44no—
960C2×Dic7—44no—
961C2×Dic7—82no—
962D28—82no—
963D28—82no—
964D28—82no—
965D28—82no—
966D28—82no—
967D28—82no—
968D28—82no—
969D28—82no—
970C4×D7—44no—
971C4×D7—44no—
972C4×D7—44no—
973C4×D7—44no—
974C4×D7—82no—
975C25—71no—
976C25—71no—
977C25C22×D711yescharacteristic
978C22×Q8C22×D711yescharacteristic
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—71no—
998C22×D4—144no—
999C22×D4—144no—
1000C22×D4—282no—
1001C22×D4—282no—
1002C22×D4—282no—
1003C22×D4—282no—
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—282no—
1014C23×C4—282no—
1015C23×C4—282no—
1016C23×C4C22×D711yescharacteristic
1017C23×C4C22×D711yescharacteristic
1018C23×C4C22×D711yescharacteristic
1019C23×C4C22×D711yescharacteristic
1020#124—282no—
1021#123—282no—
1022#123—282no—
1023C22⋊Q8—42no—
1024C22⋊Q8—42no—
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⋊C4C22×D711yescharacteristic
1048C2×C4⋊C4C22×D711yescharacteristic
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—42no—
1057C2×C22⋊C4—42no—
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—282no—
1105C2×C22⋊C4—282no—
1106C2×C22⋊C4C22×D711yescharacteristic
1107C2×C22⋊C4C22×D711yescharacteristic
1108C2×C22⋊C4C22×D711yescharacteristic
1109C2×C22⋊C4C22×D711yescharacteristic
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×C42—71no—
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#95—71no—
1150#95—71no—
1151#95—71no—
1152#95—71no—
1153#95—71no—
1154#95—71no—
1155#95—71no—
1156#95—71no—
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—22no—
1170C22×C7—22no—
1171C22×C7—22no—
1172C22×C7—22no—
1173C22×C7—22no—
1174C22×C7—22no—
1175C22×C7—41no—
1176C22×C7—41no—
1177C22×C7—41no—
1178C22×C7—41no—
1179C22×C7—41no—
1180C22×C7—41no—
1181C22×C7—41no—
1182C22×C7—41no—
1183C22×C7—88no—
1184C22×C7#53814yes—
1185C22×C7C22×#4111yescharacteristic
1186C22×C7C2×H(5,𝔽2)11yescharacteristic
1187C22×C7C2×H(5,𝔽2)11yescharacteristic
1188C22×C7C2×H(5,𝔽2)11yescharacteristic
1189C22×C7C2×H(5,𝔽2)11yescharacteristic
1190C22×C7C2×H(5,𝔽2)11yescharacteristic
1191C22×C7#58511yescharacteristic
1192C2×D7—22no—
1193C2×D7—22no—
1194C2×D7—22no—
1195C2×D7—22no—
1196C2×D7—22no—
1197C2×D7—22no—
1198C2×D7—416no—
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—41no—
1227C2×D7—41no—
1228C2×D7—88no—
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—
1241Dic7—41no—
1242Dic7—41no—
1243Dic7—41no—
1244Dic7—41no—
1245Dic7—41no—
1246Dic7—41no—
1247Dic7—41no—
1248Dic7—41no—
1249Dic7—41no—
1250Dic7—41no—
1251Dic7—41no—
1252C24—22no—
1253C24—22no—
1254C24—41no—
1255C24—41no—
1256C24—41no—
1257C24—41no—
1258C24—71no—
1259C24—71no—
1260C24—71no—
1261C24—71no—
1262C24—71no—
1263C24—142no—
1264C24—142no—
1265C24—142no—
1266C24—142no—
1267C24—142no—
1268C24—142no—
1269C24—281no—
1270C24—281no—
1271C24—281no—
1272C24—281no—
1273C24—281no—
1274C24—281no—
1275C24—281no—
1276C24—281no—
1277C24#116114yes—
1278C24C23×D711yescharacteristic
1279C24C23×D711yescharacteristic
1280C24C23×D711yescharacteristic
1281C2×Q8—41no—
1282C2×Q8—41no—
1283C2×Q8—41no—
1284C2×D4—142no—
1285C2×D4—142no—
1286C2×D4—142no—
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—281no—
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—281no—
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—2816no—
1342C2×D4—2816no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—71no—
1356C22×C4—71no—
1357C22×C4—71no—
1358C22×C4—71no—
1359C22×C4—71no—
1360C22×C4—71no—
1361C22×C4—71no—
1362C22×C4—71no—
1363C22×C4—71no—
1364C22×C4—71no—
1365C22×C4—71no—
1366C22×C4—142no—
1367C22×C4—142no—
1368C22×C4—142no—
1369C22×C4—142no—
1370C22×C4—142no—
1371C22×C4—142no—
1372C22×C4—142no—
1373C22×C4—142no—
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—2816no—
1386C22×C4—281no—
1387C22×C4—281no—
1388C22×C4—281no—
1389C22×C4—281no—
1390C22×C4—281no—
1391C22×C4—281no—
1392C22×C4—281no—
1393C22×C4—281no—
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—22no—
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
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—22no—
1427C22⋊C4—22no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—142no—
1437C22⋊C4—142no—
1438C22⋊C4—142no—
1439C22⋊C4—142no—
1440C22⋊C4—142no—
1441C22⋊C4—142no—
1442C22⋊C4—142no—
1443C22⋊C4—142no—
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—281no—
1483C42—281no—
1484C42—281no—
1485C2×C7—24no—
1486C2×C7—42no—
1487C2×C7—42no—
1488C2×C7C2×#53811yescharacteristic
1489C2×C7#349011yescharacteristic
1490C2×C7#350511yescharacteristic
1491C2×C7#353211yescharacteristic
1492C2×C7#353411yescharacteristic
1493C2×C7#353411yescharacteristic
1494C2×C7#353711yescharacteristic
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—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—28no—
1517C23—44no—
1518C23—44no—
1519C23—72no—
1520C23—72no—
1521C23—82no—
1522C23—82no—
1523C23—82no—
1524C23—82no—
1525C23—148no—
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—141no—
1557C23—141no—
1558C23—141no—
1559C23—284no—
1560C23—284no—
1561C23—284no—
1562C23—284no—
1563C23—284no—
1564C23—284no—
1565C23—284no—
1566C23—562no—
1567C23—562no—
1568C23—562no—
1569C23—562no—
1570C23—562no—
1571C23—562no—
1572C23#654812yes—
1573C23C2×#116112yes—
1574C23C2×#116112yes—
1575C23C2×#116112yes—
1576C23#655312yes—
1577C23C24×D711yescharacteristic
1578Q8—82no—
1579D4—284no—
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—44no—
1634C2×C4—82no—
1635C2×C4—82no—
1636C2×C4—82no—
1637C2×C4—141no—
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—141no—
1669C2×C4—141no—
1670C2×C4—284no—
1671C2×C4—284no—
1672C2×C4—284no—
1673C2×C4—284no—
1674C2×C4—284no—
1675C2×C4—284no—
1676C2×C4—284no—
1677C2×C4—562no—
1678C2×C4—562no—
1679C2×C4#654812yes—
1680C7#3677611yescharacteristic, complemented, 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—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—88no—
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#9033514yes—
1740C22C2×#654811yescharacteristic
1741C22C2×#654811yescharacteristic
1742C22C22×#116111yescharacteristic
1743C22C2×#655311yescharacteristic
1744C22#9061611yescharacteristic
1745C22D7×H(5,𝔽2)11yescharacteristic
1746C22D7×H(5,𝔽2)11yescharacteristic
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—281no—
1760C4—281no—
1761C4—281no—
1762C4—281no—
1763C4—281no—
1764C4—281no—
1765C4—281no—
1766C4—281no—
1767C4—281no—
1768C4—281no—
1769C4—281no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—282no—
1774C2—282no—
1775C2—561no—
1776C2—561no—
1777C2—561no—
1778C2#1174303911yescharacteristic
1779C2C2×#9033511yescharacteristic
1780C2#1174364711yescharacteristic
1781C2#1174369111yescharacteristic
1782C2#1174373511yescharacteristic
1783C2#1174373711yescharacteristic
1784C2#1174386911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2437C2
hypercenter#2437D7
hypocenterC7#36776
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. C7×#2437C2semidirect
2. #11740272C2semidirect
3. #11740269C2semidirect
4. #11740243C2semidirect
5. #11740214C2semidirect
6. #11739572C2semidirect
7. #11739572C2semidirect
8. #11739566C2semidirect
9. C2×#89728C2semidirect
10. #11735567C2semidirect
11. #11735557C2semidirect
12. #11734882C2semidirect
13. #11734875C2semidirect
14. #11734824C2semidirect
15. #11734823C2semidirect
16. #11734321C2semidirect
17. #11734287C2semidirect
18. #11732101C2semidirect
19. #11732094C2semidirect
20. #11732091C2semidirect
21. #11732079C2semidirect
22. #11732079C2semidirect
23. #11732070C2semidirect
24. #11732050C2semidirect
25. #11731864C2semidirect
26. #11731493C2semidirect
27. #11731490C2semidirect
28. #11731411C2semidirect
29. #11731373C2semidirect
30. #11731297C2semidirect
31. #11731266C2semidirect
34. C23×C4×D7C22semidirect
35. C2×C7×C22⋊Q8C22semidirect
36. C2×C7×C22⋊Q8C22semidirect
41. C2×#6510C22semidirect
44. C2×#6493C22semidirect
45. C2×#6493C22semidirect
46. C22×(C2×D7)⋊C4C22semidirect
47. C2×#6458C22semidirect
48. C2×#6458C22semidirect
49. C2×#6458C22semidirect
50. C2×#6457C22semidirect
51. C2×#6457C22semidirect
56. C2×#6445C22semidirect
57. C2×#6445C22semidirect
58. C2×(C22⋊D7)⋊C4C22semidirect
59. C7×#399C22semidirect
60. C7×#396C22semidirect
61. C7×#396C22semidirect
62. C7×#393C22semidirect
63. C7×#385C22semidirect
64. C7×#385C22semidirect
65. C7×#385C22semidirect
66. C7×#385C22semidirect
67. C7×#380C22semidirect
68. C7×#380C22semidirect
70. #90003C22semidirect
71. #90003C22semidirect
72. #90003C22semidirect
75. #89985C22semidirect
76. #89985C22semidirect
77. #89985C22semidirect
78. #89985C22semidirect
79. #89985C22semidirect
80. #89985C22semidirect
81. C2×C7⋊#95C22semidirect
82. C2×C7⋊#95C22semidirect
83. #89766C22semidirect
84. #89766C22semidirect
85. #89765C22semidirect
86. #89765C22semidirect
87. #89765C22semidirect
88. #89765C22semidirect
89. #89765C22semidirect
90. #89765C22semidirect
91. #89763C22semidirect
92. #89763C22semidirect
93. #89763C22semidirect
94. #89763C22semidirect
95. #89763C22semidirect
96. #89763C22semidirect
97. #89762C22semidirect
98. #89762C22semidirect
99. #89762C22semidirect
100. #89762C22semidirect
101. #89761C22semidirect
102. #89761C22semidirect
103. #89760C22semidirect
104. #89760C22semidirect
105. #89759C22semidirect
106. #89759C22semidirect
107. #89758C22semidirect
108. #89758C22semidirect
109. #89758C22semidirect
110. #89758C22semidirect
111. #89754C22semidirect
112. #89753C22semidirect
113. #89753C22semidirect
116. #89733C22semidirect
117. #89733C22semidirect
124. #89732C22semidirect
125. #89732C22semidirect
134. #89730C22semidirect
135. #89730C22semidirect
136. #89730C22semidirect
137. #89729C22semidirect
138. #89729C22semidirect
143. #89728C22semidirect
144. #89728C22semidirect
145. #89728C22semidirect
146. #89728C22semidirect
147. #89728C22semidirect
148. #89728C22semidirect
149. #89727C22semidirect
150. #89727C22semidirect
151. #89727C22semidirect
152. #89727C22semidirect
153. #89722C22semidirect
154. #89722C22semidirect
155. #89718C22semidirect
156. #89717C22semidirect
157. #89717C22semidirect
158. #89716C22semidirect
159. #89716C22semidirect
160. #89715C22semidirect
161. #89715C22semidirect
162. C22⋊C4×Dic7C22semidirect
163. #89447C22semidirect
164. #89447C22semidirect
165. #89446C22semidirect
166. #89446C22semidirect
167. #89444C22semidirect
168. #89443C22semidirect
169. #89442C22semidirect
170. #89442C22semidirect
171. #89437C22semidirect
172. #89437C22semidirect
173. #89437C22semidirect
174. #89437C22semidirect
175. #89437C22semidirect
176. #89437C22semidirect
177. #89437C22semidirect
178. #89437C22semidirect
179. #89436C22semidirect
180. #89436C22semidirect
181. #89436C22semidirect
182. C7⋊#401C22semidirect
183. C7⋊#401C22semidirect
184. #89432C22semidirect
185. #89432C22semidirect
186. #89423C22semidirect
399. #2437D7semidirect
646. C2×C22⋊Q8C2×D7semidirect
647. C2×C22⋊Q8C2×D7semidirect
676. #399C2×D7semidirect
689. #396C2×D7semidirect
690. #396C2×D7semidirect
705. #393C2×D7semidirect
773. #385C2×D7semidirect
774. #385C2×D7semidirect
775. #385C2×D7semidirect
776. #385C2×D7semidirect
785. #380C2×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×#24372
#117402722
#117402692
#117402432
#117402142
#117395722
#117395662
C2×#897282
#117355672
#117355572
#117348822
#117348752
#117348242
#117348232
#117343212
#117342872
#117321012
#117320942
#117320912
#117320792
#117320702
#117320502
#117318642
#117314932
#117314902
#117314112
#117313732
#117312972
#117312662
#367767