Finite Group Databasebeta

← #13517335

Subgroups — #13517335

Order 1792.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90348C211yesmaximal, characteristic
2C7×#2376C211yesmaximal, characteristic, complemented
3#11740283C211yesmaximal, characteristic, complemented
4#11733878C211yesmaximal, characteristic, complemented
5#11733874C211yesmaximal, characteristic, complemented
6#11733650C211yesmaximal, characteristic, complemented
7#11733647C211yesmaximal, characteristic, complemented
8#11733641C211yesmaximal, characteristic, complemented
9#11733421C211yesmaximal, characteristic, complemented
10#11733284C211yesmaximal, characteristic, complemented
11#11733272C211yesmaximal, characteristic, complemented
12#11733270C211yesmaximal, characteristic, complemented
13#11732929C211yesmaximal, characteristic, complemented
14#11732927C211yesmaximal, characteristic, complemented
15#11732922C211yesmaximal, characteristic, complemented
16#11732916C211yesmaximal, characteristic, complemented
17#11732907C211yesmaximal, characteristic, complemented
18#11732756C211yesmaximal, characteristic, complemented
19#11732751C211yesmaximal, characteristic, complemented
20#11732747C211yesmaximal, characteristic, complemented
21#11732399C211yesmaximal, characteristic, complemented
22#11732328C211yesmaximal, characteristic, complemented
23#11732104C211yesmaximal, characteristic, complemented
24D7×#385C211yesmaximal, characteristic, complemented
25#11731848C211yesmaximal, characteristic, complemented
26#11731847C211yesmaximal, characteristic, complemented
27#11731824C211yesmaximal, characteristic, complemented
28#11731457C211yesmaximal, characteristic, complemented
29#11731456C211yesmaximal, characteristic, complemented
30#11731318C211yesmaximal, characteristic, complemented
31#11731317C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#123C2211yescharacteristic
34C2×#6501C2211yescharacteristic
35C2×#6500C2211yescharacteristic
36C2×D4×Dic7C2211yescharacteristic
37C2×#6493C2211yescharacteristic
38C2×C4×C22⋊D7C2211yescharacteristic
39C2×#6489C2211yescharacteristic, complemented
40#90348C4116yescomplemented
41C2×#6461C2211yescharacteristic
42C2×#6460C2211yescharacteristic
43C2×#6457C2211yescharacteristic
44C2×#6456C2211yescharacteristic
45C2×#6456C2211yescharacteristic
46C2×#6456C2211yescharacteristic
47C2×D7×C4⋊C4C2211yescharacteristic
48C2×D7×C4⋊C4C2211yescharacteristic
49C2×D7×C4⋊C4C2211yescharacteristic, complemented
50C2×#6448C2211yescharacteristic
51C2×#6448C2211yescharacteristic
52C2×#6447C2211yescharacteristic
53C2×#6445C2211yescharacteristic
54C2×(C22⋊D7)⋊C4C2211yescharacteristic
55C2×(C22⋊D7)⋊C4C2211yescharacteristic
56C2×(C22⋊D7)⋊C4C2211yescharacteristic
57C2×(C22⋊D7)⋊C4C2211yescharacteristic
58C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
59C2×D7×C22⋊C4C2211yescharacteristic
60C2×D7×C22⋊C4C2211yescharacteristic
61C2×#6442C2211yescharacteristic
62C2×C4×D28C2211yescharacteristic
63C2×C4×Dic14C2211yescharacteristic, complemented
64C7×#390C2211yescharacteristic
65C7×#389C2211yescharacteristic, complemented
66C7×#389C2211yescharacteristic, complemented
67C7×#388C2211yescharacteristic
68C7×#388C2211yescharacteristic
69C7×#388C2211yescharacteristic, complemented
70C7×#388C2211yescharacteristic, complemented
71C7×#387C2211yescharacteristic, complemented
72C7×#387C2211yescharacteristic, complemented
73C7×#386C2211yescharacteristic
74C7×#385C2211yescharacteristic
75C7×#385C2211yescharacteristic
76C7×#380C2211yescharacteristic, complemented
77C7×#380C2211yescharacteristic, complemented
78#89992C2211yescharacteristic
79#89985C2211yescharacteristic
80#89982C2211yescharacteristic
81#89982C2211yescharacteristic
82C2×C7⋊#95C2211yescharacteristic, complemented
83#89762C2211yescharacteristic
84#89762C2211yescharacteristic
85#89762C2211yescharacteristic, complemented
86#89761C2211yescharacteristic
87#89761C2211yescharacteristic
88#89761C2211yescharacteristic
89#89761C2211yescharacteristic
90#89761C2211yescharacteristic
91#89761C2211yescharacteristic
92#89761C2211yescharacteristic, complemented
93#89761C2211yescharacteristic, complemented
94#89760C2211yescharacteristic
95#89759C2211yescharacteristic
96#89757C2211yescharacteristic, complemented
97#89753C2211yescharacteristic, complemented
98#89753C2211yescharacteristic, complemented
99#89750C2211yescharacteristic, complemented
100#89749C2211yescharacteristic, complemented
101#89748C2211yescharacteristic, complemented
102C4⋊C4×Dic7C2211yescharacteristic, complemented
103C4⋊C4×Dic7C2211yescharacteristic, complemented
104C4⋊C4×Dic7C2211yescharacteristic, complemented
105#89746C2211yescharacteristic, complemented
106#89745C2211yescharacteristic, complemented
107#89745C2211yescharacteristic, complemented
108#89744C2211yescharacteristic, complemented
109#89744C2211yescharacteristic, complemented
110#89730C2211yescharacteristic
111#89730C2211yescharacteristic, complemented
112#89729C2211yescharacteristic
113#89729C2211yescharacteristic
114#89729C2211yescharacteristic, complemented
115#89728C2211yescharacteristic
116#89728C2211yescharacteristic
117#89728C2211yescharacteristic
118#89728C2211yescharacteristic
119#89728C2211yescharacteristic, complemented
120#89727C2211yescharacteristic
121#89727C2211yescharacteristic
122#89723C2211yescharacteristic
123#89723C2211yescharacteristic
124#89722C2211yescharacteristic
125#89722C2211yescharacteristic, complemented
126#89718C2211yescharacteristic
127#89718C2211yescharacteristic, complemented
128#89718C2211yescharacteristic, complemented
129#89717C2211yescharacteristic
130#89717C2211yescharacteristic
131#89717C2211yescharacteristic
132#89716C2211yescharacteristic
133#89716C2211yescharacteristic, complemented
134#89716C2211yescharacteristic, complemented
135C22⋊C4×Dic7C2211yescharacteristic
136C22⋊C4×Dic7C2211yescharacteristic
137C22⋊C4×Dic7C2211yescharacteristic, complemented
138#89712C2211yescharacteristic
139#89712C2211yescharacteristic
140#89712C2211yescharacteristic
141C4×(C2×D7)⋊C4C2211yescharacteristic
142C4×(C2×D7)⋊C4C2211yescharacteristic
143C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
145C4×C4⋊Dic7C2211yescharacteristic, complemented
146C4×Dic7⋊C4C2211yescharacteristic, complemented
147C4×Dic7⋊C4C2211yescharacteristic, complemented
148#89442C2211yescharacteristic
149#89442C2211yescharacteristic
150#89442C2211yescharacteristic, complemented
151#89442C2211yescharacteristic, complemented
152#89441C2211yescharacteristic
153#89441C2211yescharacteristic, complemented
154#89440C2211yescharacteristic
155#89440C2211yescharacteristic
156#89440C2211yescharacteristic
157#89440C2211yescharacteristic
158#89440C2211yescharacteristic, complemented
159#89439C2211yescharacteristic
160#89439C2211yescharacteristic, complemented
161#89438C2211yescharacteristic
162#89438C2211yescharacteristic
163#89438C2211yescharacteristic
164#89438C2211yescharacteristic
165#89438C2211yescharacteristic
166#89438C2211yescharacteristic
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89436C2211yescharacteristic, complemented
172D7×#95C2211yescharacteristic
173D7×#95C2211yescharacteristic
174#89426C2211yescharacteristic, complemented
175#89426C2211yescharacteristic, complemented
176#89426C2211yescharacteristic, complemented
177#89425C2211yescharacteristic, complemented
178#89424C2211yescharacteristic, complemented
179#89424C2211yescharacteristic, complemented
180#89424C2211yescharacteristic, complemented
181#89423C2211yescharacteristic, complemented
182#89422C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89420C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#34416—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C23×Dic7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×C4×D7—42no—
203C22×C4×D7—42no—
204C22×C4×D7—42no—
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C7×#123C2×C418yescomplemented
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248#6501C2×C418yescomplemented
249#6500C2×C418yescomplemented
250D4×Dic7—42no—
251#6493C2×C418yescomplemented
252C4×C22⋊D7C2×C418yescomplemented
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
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
277#6489—42no—
278C2×C4⋊Dic7C2311yescharacteristic
279C2×C4⋊Dic7C2311yescharacteristic
280C2×C4⋊Dic7C2311yescharacteristic
281C2×C4⋊Dic7C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×Dic7⋊C4C2311yescharacteristic
286C2×Dic7⋊C4C2311yescharacteristic
287C2×Dic7⋊C4C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
289C2×Dic7⋊C4C2311yescharacteristic
290C2×Dic7⋊C4C2311yescharacteristic
291C2×Dic7⋊C4C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×C4×Dic7C2311yescharacteristic
300C2×C4×Dic7C2311yescharacteristic
301C2×C4×Dic7C2311yescharacteristic
302C2×C4×Dic7C2311yescharacteristic
303C2×C4×Dic7C2311yescharacteristic
304C2×C4×Dic7C2311yescharacteristic
305C2×C4×Dic7C2311yescharacteristic
306C2×C4×Dic7C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314#6461C2×C418yescomplemented
315#6460C2×C418yescomplemented
316#6457C2×C418yescomplemented
317#6456—42no—
318#6456—42no—
319#6456C2×C418yescomplemented
320D7×C4⋊C4—42no—
321D7×C4⋊C4—42no—
322D7×C4⋊C4—42no—
323#6448C2×C418yescomplemented
324#6448C2×C418yescomplemented
325#6447C2×C418yescomplemented
326#6445C2×C418yescomplemented
327(C22⋊D7)⋊C4—42no—
328(C22⋊D7)⋊C4—42no—
329(C22⋊D7)⋊C4—42no—
330(C22⋊D7)⋊C4—42no—
331(C22⋊D7)⋊C4—42no—
332D7×C22⋊C4—42no—
333D7×C22⋊C4C2×C418yescomplemented
334#6442C2×C418yescomplemented
335C4×D28—42no—
336C4×Dic14—42no—
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
376C7⋊#95C2311yescharacteristic
377C2×#538—71no—
378#2383—71no—
379#2379—71no—
380#2377—71no—
381#2376D711yescharacteristic, complemented
382#2373—71no—
383#2368—71no—
384#2367—71no—
385#2364—71no—
386#2361—71no—
387#2361—71no—
388#2360—71no—
389#2359—71no—
390#2353—71no—
391#2352—71no—
392#2349—71no—
393D4×C4⋊C4—71no—
394#2337—71no—
395#2335—71no—
396#2334—71no—
397#2334—71no—
398#2326—71no—
399#2325—71no—
400#2324—71no—
401#2322—71no—
402#2321—71no—
403#2321—71no—
404#2312—71no—
405C4×#120—71no—
406C4×#120—71no—
407C2×#385—71no—
408C24×C7C2411yescharacteristic
409C24×C7C2411yescharacteristic
410C23×D7—22no—
411C23×D7—22no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7C22×C414yes—
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C2×C7×D4—41no—
421C2×C7×D4—41no—
422C2×C7×D4C22×C414yes—
423C22×C4×C7—41no—
424C22×C4×C7—41no—
425C22×C4×C7—41no—
426C22×C4×C7—41no—
427C22×C4×C7—41no—
428C22×C4×C7C22×C414yescomplemented
429C22×C4×C7C2411yescharacteristic
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C2×C22⋊D7—22no—
443C2×C22⋊D7—22no—
444C2×C22⋊D7—41no—
445C2×C22⋊D7—41no—
446C2×C22⋊D7—41no—
447C2×C22⋊D7—41no—
448C2×C22⋊D7—41no—
449C2×C22⋊D7—41no—
450C2×C22⋊D7C22×C414yes—
451C2×C22⋊D7C22×C414yes—
452C2×C22⋊D7C22×C414yes—
453C2×C22⋊D7C22×C414yescomplemented
454C22×Dic7—22no—
455C22×Dic7—22no—
456C22×Dic7—22no—
457C22×Dic7—41no—
458C22×Dic7—41no—
459C22×Dic7—41no—
460C22×Dic7—41no—
461C22×Dic7—41no—
462C22×Dic7—41no—
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C2×D28—22no—
477C2×D28—22no—
478C2×D28—41no—
479C2×D28—41no—
480C2×D28C22×C414yes—
481C2×D28C22×C414yes—
482C2×C4×D7—22no—
483C2×C4×D7—22no—
484C2×C4×D7—22no—
485C2×C4×D7—22no—
486C2×C4×D7—22no—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
491C2×C4×D7—41no—
492C2×C4×D7—41no—
493C2×C4×D7—41no—
494C2×C4×D7—41no—
495C2×C4×D7—41no—
496C2×C4×D7—41no—
497C2×C4×D7—41no—
498C2×C4×D7—41no—
499C2×C4×D7—41no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—416no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7—41no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7C22×C414yes—
514C2×C4×D7C22×C414yes—
515C2×C4×D7C22×C414yescomplemented
516C2×Dic14—41no—
517C2×Dic14—41no—
518C2×Dic14C22×C414yescomplemented
519C7×C4⋊C4—41no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4—41no—
523C7×C4⋊C4—41no—
524C7×C4⋊C4—41no—
525C7×C4⋊C4—41no—
526C7×C4⋊C4C22×C414yescomplemented
527C7×C4⋊C4C22×C414yescomplemented
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4—41no—
532C7×C22⋊C4—41no—
533C7×C22⋊C4—41no—
534C7×C22⋊C4—41no—
535C7×C22⋊C4C22×C414yes—
536C7×C22⋊C4C22×C414yes—
537C7×C22⋊C4C22×C414yescomplemented
538C42×C7—41no—
539C42×C7—41no—
540C42×C7—41no—
541C22⋊Dic7—22no—
542C22⋊Dic7—41no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546C22⋊Dic7C22×C414yes—
547C22⋊Dic7C22×C414yes—
548C22⋊Dic7C22×C414yescomplemented
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—41no—
555(C2×D7)⋊C4—41no—
556(C2×D7)⋊C4—41no—
557(C2×D7)⋊C4—41no—
558(C2×D7)⋊C4—41no—
559(C2×D7)⋊C4—41no—
560(C2×D7)⋊C4—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4C22×C414yes—
566(C2×D7)⋊C4C22×C414yes—
567(C2×D7)⋊C4C22×C414yes—
568(C2×D7)⋊C4C22×C414yes—
569(C2×D7)⋊C4C22×C414yes—
570(C2×D7)⋊C4C22×C414yes—
571(C2×D7)⋊C4C22×C414yescomplemented
572(C2×D7)⋊C4C22×C414yescomplemented
573C4⋊Dic7—22no—
574C4⋊Dic7—22no—
575C4⋊Dic7—22no—
576C4⋊Dic7—41no—
577C4⋊Dic7—41no—
578C4⋊Dic7C22×C414yescomplemented
579C4⋊Dic7C22×C414yescomplemented
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
583Dic7⋊C4—41no—
584Dic7⋊C4—41no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
587Dic7⋊C4—41no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4C22×C414yescomplemented
593Dic7⋊C4C22×C414yescomplemented
594C4×Dic7—22no—
595C4×Dic7—22no—
596C4×Dic7—41no—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C4×Dic7—41no—
606C4×Dic7—41no—
607C4×Dic7C22×C414yescomplemented
608C4×Dic7C22×C414yescomplemented
609C24×C4—71no—
610#538—716no—
611C2×#126—71no—
612C2×#126—71no—
613C2×#124—71no—
614C2×#124—71no—
615C2×#123—71no—
616C2×#123C2×D711yescharacteristic
617C2×C22⋊Q8—71no—
618C2×#121—71no—
619C2×#121—71no—
620C2×#121—71no—
621C2×#120—71no—
622C2×#120—71no—
623C2×C4×Q8—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4—71no—
627C2×C4×D4—71no—
628C2×C4×D4—71no—
629C2×C4×D4—71no—
630C2×C4×D4—71no—
631C2×C4×D4—71no—
632C2×C4×D4—71no—
633C2×C4×D4—71no—
634C2×C4×D4—71no—
635C2×#117—71no—
636C22×C4⋊C4—71no—
637C22×C4⋊C4—71no—
638C22×C4⋊C4—71no—
639C22×C22⋊C4—71no—
640C22×C22⋊C4—71no—
641#391—71no—
642#391—71no—
643#391—71no—
644#390—71no—
645#390—71no—
646#390—71no—
647#390—71no—
648#390C2×D711yescharacteristic
649#389—71no—
650#389—71no—
651#389—71no—
652#389—71no—
653#389—71no—
654#389—71no—
655#389C2×D711yescharacteristic, complemented
656#389C2×D711yescharacteristic, complemented
657#388—71no—
658#388—71no—
659#388—71no—
660#388—71no—
661#388—71no—
662#388—71no—
663#388—71no—
664#388—71no—
665#388—71no—
666#388—71no—
667#388—71no—
668#388—71no—
669#388—71no—
670#388—71no—
671#388—71no—
672#388—71no—
673#388—71no—
674#388—71no—
675#388—71no—
676#388—71no—
677#388C2×D711yescharacteristic
678#388C2×D711yescharacteristic
679#388C2×D711yescharacteristic, complemented
680#388C2×D711yescharacteristic, complemented
681#387—71no—
682#387—71no—
683#387—71no—
684#387—71no—
685#387—71no—
686#387—71no—
687#387—71no—
688#387—71no—
689#387—71no—
690#387—71no—
691#387C2×D711yescharacteristic, complemented
692#387C2×D711yescharacteristic, complemented
693#386—71no—
694#386—71no—
695#386—71no—
696#386—71no—
697#386—71no—
698#386—71no—
699#386—71no—
700#386—71no—
701#386—71no—
702#386—71no—
703#386—71no—
704#386—71no—
705#386—71no—
706#386C2×D711yescharacteristic
707#385—71no—
708#385—71no—
709#385—71no—
710#385—71no—
711#385—71no—
712#385—71no—
713#385—71no—
714#385—71no—
715#385—71no—
716#385—71no—
717#385—71no—
718#385—71no—
719#385—71no—
720#385—71no—
721#385—71no—
722#385—71no—
723#385—71no—
724#385—71no—
725#385—71no—
726#385—71no—
727#385C2×D711yescharacteristic
728#385C2×D711yescharacteristic
729#384—71no—
730#383—71no—
731#382—71no—
732#382—71no—
733#381—71no—
734#380—71no—
735#380—71no—
736#380—71no—
737#380C2×D711yescharacteristic, complemented
738#380C2×D711yescharacteristic, complemented
739#379—71no—
740#379—71no—
741C4×C4⋊C4—71no—
742C4×C4⋊C4—71no—
743C4×C4⋊C4—71no—
744C4×C4⋊C4—71no—
745C4×C4⋊C4—71no—
746C4×C4⋊C4—71no—
747C4×C4⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4—71no—
757C4×C22⋊C4—71no—
758C4×C22⋊C4—71no—
759C4×C22⋊C4—71no—
760C4×C22⋊C4—71no—
761#376—71no—
762C2×#95—71no—
763C2×#95—71no—
764C2×#95—71no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7C23×C412yes—
778C23×C7C23×C412yes—
779C23×C7C2511yescharacteristic
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—28no—
797C22×D7—44no—
798C22×D7—44no—
799C22×D7—44no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7C23×C412yes—
804C22×D7C23×C412yes—
805C22×D7C23×C412yes—
806C22×D7H(5,𝔽2)12yes—
807C22×D72−1+412yes—
808C7×D4—44no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—44no—
844C2×C4×C7—44no—
845C2×C4×C7C23×C412yes—
846C2×C4×C7C23×C412yes—
847C2×C4×C7C23×C412yes—
848C2×C4×C7C23×C412yes—
849C2×C4×C7C23×C412yes—
850C22⋊D7—28no—
851C22⋊D7—44no—
852C22⋊D7—44no—
853C22⋊D7—44no—
854C2×Dic7—21no—
855C2×Dic7—21no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—44no—
887C2×Dic7—82no—
888C2×Dic7—82no—
889C2×Dic7C23×C412yes—
890C2×Dic7C23×C412yes—
891C2×Dic7C23×C412yes—
892C2×Dic7C23×C412yes—
893C2×Dic7C23×C412yes—
894C2×Dic7H(5,𝔽2)12yes—
895C2×Dic7H(5,𝔽2)12yes—
896D28—28no—
897D28—44no—
898C4×D7—44no—
899C4×D7—44no—
900C4×D7—44no—
901C4×D7—44no—
902C4×D7—44no—
903C4×D7—44no—
904C4×D7—44no—
905C4×D7—82no—
906C4×D7—82no—
907C4×D7—82no—
908C4×D7—82no—
909Dic14—44no—
910C25—71no—
911C22×Q8—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C22×D4C22×D711yescharacteristic
919C23×C4—71no—
920C23×C4—71no—
921C23×C4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—282no—
934C23×C4—282no—
935C23×C4—282no—
936C23×C4C22×D711yescharacteristic
937C23×C4C22×D711yescharacteristic
938#126—78no—
939#126—78no—
940#124—78no—
941#124—78no—
942#123—78no—
943#123C4×D718yescomplemented
944C22⋊Q8—78no—
945#121—78no—
946#121—78no—
947#121—78no—
948#120—78no—
949#120—78no—
950C4×Q8—282no—
951C4×D4—78no—
952C4×D4—78no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958C4×D4—282no—
959C4×D4—282no—
960C4×D4—282no—
961C4×D4—282no—
962#117—282no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—282no—
985C2×C4⋊C4—282no—
986C2×C4⋊C4—282no—
987C2×C4⋊C4C22×D711yescharacteristic
988C2×C4⋊C4C22×D711yescharacteristic
989C2×C4⋊C4C22×D711yescharacteristic
990C2×C4⋊C4C22×D711yescharacteristic
991C2×C4⋊C4C22×D711yescharacteristic
992C2×C4⋊C4C22×D711yescharacteristic
993C2×C4⋊C4C22×D711yescharacteristic
994C2×C4⋊C4C22×D711yescharacteristic
995C2×C4⋊C4C22×D711yescharacteristic
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—78no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—282no—
1030C2×C22⋊C4C22×D711yescharacteristic
1031C2×C22⋊C4C22×D711yescharacteristic
1032C2×C22⋊C4C22×D711yescharacteristic
1033C2×C22⋊C4C22×D711yescharacteristic
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C22⋊C4C22×D711yescharacteristic
1038C2×C22⋊C4C22×D711yescharacteristic
1039C2×C22⋊C4C22×D711yescharacteristic
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42—71no—
1046C2×C42—71no—
1047C2×C42—71no—
1048C2×C42—71no—
1049C2×C42—71no—
1050C2×C42—71no—
1051C2×C42—71no—
1052C2×C42—71no—
1053C2×C42—71no—
1054C2×C42—71no—
1055C2×C42C22×D711yescharacteristic
1056C2×C42C22×D711yescharacteristic
1057C2×C42C22×D711yescharacteristic
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097#95C22×D711yescharacteristic
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7—41no—
1112C22×C7C24×C411yescharacteristic
1113C22×C7C2×H(5,𝔽2)11yescharacteristic
1114C22×C7C2×H(5,𝔽2)11yescharacteristic
1115C22×C7C2×H(5,𝔽2)11yescharacteristic
1116C22×C7C2×2−1+411yescharacteristic
1117C22×C7#58511yescharacteristic
1118C22×C7#58511yescharacteristic
1119C2×D7—22no—
1120C2×D7—22no—
1121C2×D7—22no—
1122C2×D7—22no—
1123C2×D7—22no—
1124C2×D7—22no—
1125C2×D7—22no—
1126C2×D7—22no—
1127C2×D7—22no—
1128C2×D7—22no—
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—416no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7#52014yes—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—22no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153C4×C7—41no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—22no—
1158Dic7—22no—
1159Dic7—22no—
1160Dic7—22no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167C24—71no—
1168C24—71no—
1169C24—71no—
1170C24—74no—
1171C24—142no—
1172C24—142no—
1173C24—281no—
1174C24—281no—
1175C24—281no—
1176C24—281no—
1177C24C23×D711yescharacteristic
1178C24C23×D711yescharacteristic
1179C2×Q8—74no—
1180C2×Q8—281no—
1181C2×Q8—281no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—74no—
1185C2×D4—74no—
1186C2×D4—74no—
1187C2×D4—74no—
1188C2×D4—74no—
1189C2×D4—74no—
1190C2×D4—142no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—142no—
1194C2×D4—281no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4—281no—
1200C2×D4—281no—
1201C2×D4—281no—
1202C2×D4C2×C4×D714yes—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—71no—
1209C22×C4—71no—
1210C22×C4—71no—
1211C22×C4—71no—
1212C22×C4—71no—
1213C22×C4—71no—
1214C22×C4—71no—
1215C22×C4—74no—
1216C22×C4—74no—
1217C22×C4—74no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—71no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—142no—
1225C22×C4—142no—
1226C22×C4—142no—
1227C22×C4—142no—
1228C22×C4—142no—
1229C22×C4—142no—
1230C22×C4—142no—
1231C22×C4—142no—
1232C22×C4—142no—
1233C22×C4—142no—
1234C22×C4—142no—
1235C22×C4—142no—
1236C22×C4—281no—
1237C22×C4—281no—
1238C22×C4—281no—
1239C22×C4—281no—
1240C22×C4—281no—
1241C22×C4—281no—
1242C22×C4—281no—
1243C22×C4—281no—
1244C22×C4—281no—
1245C22×C4—281no—
1246C22×C4—281no—
1247C22×C4—281no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—2816no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4—281no—
1264C22×C4C2×C4×D714yescomplemented
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—74no—
1286C4⋊C4—74no—
1287C4⋊C4—74no—
1288C4⋊C4—74no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—142no—
1292C4⋊C4—142no—
1293C4⋊C4—142no—
1294C4⋊C4—142no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C4⋊C4—281no—
1302C4⋊C4—281no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C4⋊C4—281no—
1306C4⋊C4C2×C4×D714yescomplemented
1307C4⋊C4C2×C4×D714yescomplemented
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—74no—
1316C22⋊C4—74no—
1317C22⋊C4—74no—
1318C22⋊C4—74no—
1319C22⋊C4—74no—
1320C22⋊C4—74no—
1321C22⋊C4—74no—
1322C22⋊C4—74no—
1323C22⋊C4—74no—
1324C22⋊C4—74no—
1325C22⋊C4—74no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4—281no—
1338C22⋊C4—281no—
1339C22⋊C4—281no—
1340C22⋊C4—281no—
1341C22⋊C4—281no—
1342C22⋊C4—281no—
1343C22⋊C4—281no—
1344C22⋊C4—281no—
1345C22⋊C4—281no—
1346C22⋊C4—281no—
1347C22⋊C4C2×C4×D714yes—
1348C22⋊C4C2×C4×D714yes—
1349C22⋊C4C2×C4×D714yescomplemented
1350C42—41no—
1351C42—41no—
1352C42—41no—
1353C42—74no—
1354C42—74no—
1355C42—142no—
1356C42—142no—
1357C42—281no—
1358C42—281no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C42—281no—
1367C42—281no—
1368C2×C7—42no—
1369C2×C7—42no—
1370C2×C7C2×#52011yescharacteristic
1371C2×C7C4×H(5,𝔽2)11yescharacteristic
1372C2×C7C4×H(5,𝔽2)11yescharacteristic
1373C2×C7#353211yescharacteristic
1374C2×C7#353311yescharacteristic
1375C2×C7#354111yescharacteristic
1376C2×C7#354111yescharacteristic
1377D7—24no—
1378D7—42no—
1379D7—42no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—72no—
1393C23—72no—
1394C23—72no—
1395C23—72no—
1396C23—72no—
1397C23—148no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—284no—
1415C23—284no—
1416C23—284no—
1417C23—284no—
1418C23—284no—
1419C23—284no—
1420C23C22×C4×D712yes—
1421C23C22×C4×D712yes—
1422C23C24×D711yescharacteristic
1423Q8—284no—
1424D4—44no—
1425D4—148no—
1426D4—148no—
1427D4—284no—
1428D4—284no—
1429D4—284no—
1430D4—284no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—72no—
1468C2×C4—72no—
1469C2×C4—72no—
1470C2×C4—72no—
1471C2×C4—72no—
1472C2×C4—72no—
1473C2×C4—72no—
1474C2×C4—141no—
1475C2×C4—141no—
1476C2×C4—141no—
1477C2×C4—141no—
1478C2×C4—141no—
1479C2×C4—141no—
1480C2×C4—141no—
1481C2×C4—141no—
1482C2×C4—141no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—284no—
1507C2×C4—284no—
1508C2×C4—284no—
1509C2×C4—284no—
1510C2×C4—284no—
1511C2×C4—284no—
1512C2×C4—284no—
1513C2×C4—284no—
1514C2×C4—562no—
1515C2×C4—562no—
1516C2×C4—562no—
1517C2×C4—562no—
1518C2×C4—562no—
1519C2×C4—562no—
1520C2×C4C22×C4×D712yes—
1521C2×C4C22×C4×D712yes—
1522C2×C4C22×C4×D712yes—
1523C2×C4C22×C4×D712yes—
1524C2×C4C22×C4×D712yes—
1525C7#3441611yescharacteristic, complemented, Sylow
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—74no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—142no—
1547C22—142no—
1548C22—142no—
1549C22—142no—
1550C22—142no—
1551C22—142no—
1552C22—142no—
1553C22—2816no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—281no—
1560C22—281no—
1561C22—281no—
1562C22C23×C4×D711yescharacteristic
1563C22D7×H(5,𝔽2)11yescharacteristic
1564C22D7×H(5,𝔽2)11yescharacteristic
1565C22D7×H(5,𝔽2)11yescharacteristic
1566C22#9061811yescharacteristic
1567C22D7×2−1+411yescharacteristic
1568C22#9062011yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—142no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—142no—
1588C4—142no—
1589C4—281no—
1590C4—281no—
1591C4—281no—
1592C4—281no—
1593C4—281no—
1594C4—281no—
1595C2—42no—
1596C2—42no—
1597C2—144no—
1598C2—282no—
1599C2—282no—
1600C2#1174292511yescharacteristic
1601C2#1174295411yescharacteristic
1602C2D7×#52011yescharacteristic
1603C2#1174414811yescharacteristic
1604C2#1174416411yescharacteristic
1605C2#1174417611yescharacteristic
1606C2#1174418611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2376C2
socle, cosocleC23×C7C25
prime radicalC2×#90348C2
hypercenter#2376D7
hypocenterC7#34416
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2376

Complements

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

NH ≅ G/Ntype
2. C7×#2376C2semidirect
3. #11740283C2semidirect
4. #11733878C2semidirect
5. #11733874C2semidirect
6. #11733650C2semidirect
7. #11733647C2semidirect
8. #11733641C2semidirect
9. #11733421C2semidirect
10. #11733284C2semidirect
11. #11733272C2semidirect
12. #11733270C2semidirect
13. #11732929C2semidirect
14. #11732927C2semidirect
15. #11732922C2semidirect
16. #11732916C2semidirect
17. #11732907C2semidirect
18. #11732756C2semidirect
19. #11732751C2semidirect
20. #11732747C2semidirect
21. #11732399C2semidirect
22. #11732328C2semidirect
23. #11732104C2semidirect
24. D7×#385C2semidirect
25. #11731848C2semidirect
26. #11731847C2semidirect
27. #11731824C2semidirect
28. #11731457C2semidirect
29. #11731456C2semidirect
30. #11731318C2semidirect
31. #11731317C2semidirect
39. C2×#6489C22semidirect
40. #90348C4semidirect
49. C2×D7×C4⋊C4C22semidirect
58. C2×(C22⋊D7)⋊C4C22semidirect
63. C2×C4×Dic14C22semidirect
65. C7×#389C22semidirect
66. C7×#389C22semidirect
69. C7×#388C22semidirect
70. C7×#388C22semidirect
71. C7×#387C22semidirect
72. C7×#387C22semidirect
76. C7×#380C22semidirect
77. C7×#380C22semidirect
82. C2×C7⋊#95C22semidirect
85. #89762C22semidirect
92. #89761C22semidirect
93. #89761C22semidirect
96. #89757C22semidirect
97. #89753C22semidirect
98. #89753C22semidirect
99. #89750C22semidirect
100. #89749C22semidirect
101. #89748C22semidirect
102. C4⋊C4×Dic7C22semidirect
103. C4⋊C4×Dic7C22semidirect
104. C4⋊C4×Dic7C22semidirect
105. #89746C22semidirect
106. #89745C22semidirect
107. #89745C22semidirect
108. #89744C22semidirect
109. #89744C22semidirect
111. #89730C22semidirect
114. #89729C22semidirect
119. #89728C22semidirect
125. #89722C22semidirect
127. #89718C22semidirect
128. #89718C22semidirect
133. #89716C22semidirect
134. #89716C22semidirect
137. C22⋊C4×Dic7C22semidirect
143. C4×(C2×D7)⋊C4C22semidirect
144. C4×(C2×D7)⋊C4C22semidirect
145. C4×C4⋊Dic7C22semidirect
146. C4×Dic7⋊C4C22semidirect
147. C4×Dic7⋊C4C22semidirect
150. #89442C22semidirect
151. #89442C22semidirect
153. #89441C22semidirect
158. #89440C22semidirect
160. #89439C22semidirect
171. #89436C22semidirect
174. #89426C22semidirect
175. #89426C22semidirect
176. #89426C22semidirect
177. #89425C22semidirect
178. #89424C22semidirect
179. #89424C22semidirect
180. #89424C22semidirect
181. #89423C22semidirect
182. #89422C22semidirect
183. #89421C22semidirect
184. #89420C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
217. C7×#123C2×C4semidirect
248. #6501C2×C4semidirect
249. #6500C2×C4semidirect
251. #6493C2×C4semidirect
252. C4×C22⋊D7C2×C4semidirect
314. #6461C2×C4semidirect
315. #6460C2×C4semidirect
316. #6457C2×C4semidirect
319. #6456C2×C4semidirect
323. #6448C2×C4semidirect
324. #6448C2×C4semidirect
325. #6447C2×C4semidirect
326. #6445C2×C4semidirect
333. D7×C22⋊C4C2×C4semidirect
334. #6442C2×C4semidirect
381. #2376D7semidirect
428. C22×C4×C7C22×C4semidirect
453. C2×C22⋊D7C22×C4semidirect
515. C2×C4×D7C22×C4semidirect
518. C2×Dic14C22×C4semidirect
526. C7×C4⋊C4C22×C4semidirect
527. C7×C4⋊C4C22×C4semidirect
537. C7×C22⋊C4C22×C4semidirect
548. C22⋊Dic7C22×C4semidirect
571. (C2×D7)⋊C4C22×C4semidirect
572. (C2×D7)⋊C4C22×C4semidirect
578. C4⋊Dic7C22×C4semidirect
579. C4⋊Dic7C22×C4semidirect
592. Dic7⋊C4C22×C4semidirect
593. Dic7⋊C4C22×C4semidirect
607. C4×Dic7C22×C4semidirect
608. C4×Dic7C22×C4semidirect
655. #389C2×D7semidirect
656. #389C2×D7semidirect
679. #388C2×D7semidirect
680. #388C2×D7semidirect
691. #387C2×D7semidirect
692. #387C2×D7semidirect
737. #380C2×D7semidirect
738. #380C2×D7semidirect
943. #123C4×D7semidirect
1264. C22×C4C2×C4×D7semidirect
1306. C4⋊C4C2×C4×D7semidirect
1307. C4⋊C4C2×C4×D7semidirect
1349. C22⋊C4C2×C4×D7semidirect
1525. C7#34416semidirect

Maximal subgroups

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

subgroupindex
C2×#903482
C7×#23762
#117402832
#117338782
#117338742
#117336502
#117336472
#117336412
#117334212
#117332842
#117332722
#117332702
#117329292
#117329272
#117329222
#117329162
#117329072
#117327562
#117327512
#117327472
#117323992
#117323282
#117321042
D7×#3852
#117318482
#117318472
#117318242
#117314572
#117314562
#117313182
#117313172
#344167