Finite Group Databasebeta

← #13514969

Subgroups — #13514969

Order 1792.

3154 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90288C211yesmaximal, characteristic
2C2×#90237C211yesmaximal, characteristic, complemented
3C2×C4×#1159C211yesmaximal, characteristic, complemented
4C7×#2361C211yesmaximal, characteristic, complemented
5#11740083C211yesmaximal, characteristic, complemented
6#11739787C211yesmaximal, characteristic, complemented
7#11739785C211yesmaximal, characteristic, complemented
8#11739785C211yesmaximal, characteristic, complemented
9C4×#6502C211yesmaximal, characteristic, complemented
10#11739608C211yesmaximal, characteristic, complemented
11C2×#89744C211yesmaximal, characteristic, complemented
12#11733750C211yesmaximal, characteristic, complemented
13#11733741C211yesmaximal, characteristic, complemented
14#11733428C211yesmaximal, characteristic, complemented
15#11733416C211yesmaximal, characteristic, complemented
16#11732925C211yesmaximal, characteristic, complemented
17#11732924C211yesmaximal, characteristic, complemented
18#11732905C211yesmaximal, characteristic, complemented
19#11732897C211yesmaximal, characteristic, complemented
20#11732123C211yesmaximal, characteristic, complemented
21#11732121C211yesmaximal, characteristic, complemented
22#11732107C211yesmaximal, characteristic, complemented
23#11732103C211yesmaximal, characteristic, complemented
24#11731842C211yesmaximal, characteristic, complemented
25#11731841C211yesmaximal, characteristic, complemented
26#11731830C211yesmaximal, characteristic, complemented
27#11731826C211yesmaximal, characteristic, complemented
28C4×#6459C211yesmaximal, characteristic, complemented
29#11731093C211yesmaximal, characteristic, complemented
30#11730916C211yesmaximal, characteristic, complemented
31#11730880C211yesmaximal, characteristic, complemented
32C22×#1159C2211yescharacteristic
33C22×#1159C2211yescharacteristic
34C2×C7×#121C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic
36C2×C4×C7×D4C2211yescharacteristic
37C2×C4×C7×D4C2211yescharacteristic
38C22×C7×C4⋊C4C2211yescharacteristic
39C2×#6502C2211yescharacteristic
40C2×#6502C2211yescharacteristic
41C2×#6502C2211yescharacteristic
42C2×#6502C2211yescharacteristic
43C2×D4×Dic7C2211yescharacteristic
44C2×D4×Dic7C2211yescharacteristic
45C2×#6493C2211yescharacteristic
46C2×C4×C22⋊D7C2211yescharacteristic
47C2×C4×C22⋊D7C2211yescharacteristic
48C2×C4×C22⋊D7C2211yescharacteristic
49C2×C4×C22⋊D7C2211yescharacteristic
50C2×C4×C22⋊D7C2211yescharacteristic
51C22×Dic7⋊C4C2211yescharacteristic
52C22×Dic7⋊C4C2211yescharacteristic
53C22×Dic7⋊C4C2211yescharacteristic
54C22×Dic7⋊C4C2211yescharacteristic
55C22×C4×Dic7C2211yescharacteristic
56C22×C4×Dic7C2211yescharacteristic
57#90288C4116yescomplemented
58#90237—28no—
59C4×#1159—28no—
60C2×#6459C2211yescharacteristic
61C2×#6459C2211yescharacteristic
62C2×#6456C2211yescharacteristic
63C2×#6455C2211yescharacteristic
64C2×D7×C4⋊C4C2211yescharacteristic
65C2×#6450C2211yescharacteristic
66C2×#6450C2211yescharacteristic
67C2×#6447C2211yescharacteristic
68C2×#6447C2211yescharacteristic
69C2×(C22⋊D7)⋊C4C2211yescharacteristic
70C2×(C22⋊D7)⋊C4C2211yescharacteristic
71C2×(C22⋊D7)⋊C4C2211yescharacteristic
72C2×(C22⋊D7)⋊C4C2211yescharacteristic
73C2×(C22⋊D7)⋊C4C2211yescharacteristic
74C2×#6441C2211yescharacteristic
75C2×#6441C2211yescharacteristic
76C2×#6440C2211yescharacteristic
77C2×#6440C2211yescharacteristic
78C2×#6440C2211yescharacteristic
79C2×#6440C2211yescharacteristic
80C2×#6435C2211yescharacteristic
81C2×C42×D7C2211yescharacteristic
82C2×C4×Dic14C2211yescharacteristic
83C2×C4×Dic14C2211yescharacteristic
84C7×#390C2211yescharacteristic
85C7×#389C2211yescharacteristic
86C7×#388C2211yescharacteristic
87C7×#388C2211yescharacteristic
88C7×#386C2211yescharacteristic
89C7×#386C2211yescharacteristic
90C7×#385C2211yescharacteristic
91C7×#385C2211yescharacteristic
92C4×C7×C4⋊C4C2211yescharacteristic
93C4×C7×C22⋊C4C2211yescharacteristic
94#89992C2211yescharacteristic
95#89992C2211yescharacteristic
96#89992C2211yescharacteristic
97#89992C2211yescharacteristic
98#89985C2211yescharacteristic
99#89985C2211yescharacteristic
100#89985C2211yescharacteristic
101#89982C2211yescharacteristic
102C4×C22⋊Dic7C2211yescharacteristic
103C4×C22⋊Dic7C2211yescharacteristic
104C2×C7⋊#95C2211yescharacteristic
105C2×C7⋊#95C2211yescharacteristic
106#89762C2211yescharacteristic
107#89762C2211yescharacteristic
108#89762C2211yescharacteristic
109#89761C2211yescharacteristic
110#89761C2211yescharacteristic
111#89761C2211yescharacteristic
112#89760C2211yescharacteristic
113#89753C2211yescharacteristic
114#89753C2211yescharacteristic
115#89750C2211yescharacteristic
116C4⋊C4×Dic7C2211yescharacteristic
117#89745C2211yescharacteristic
118#89744C2211yescharacteristic
119#89744C2211yescharacteristic
120#89744C2211yescharacteristic
121#89744C2211yescharacteristic
122#89744C2211yescharacteristic
123#89744C2211yescharacteristic
124#89744C2211yescharacteristic
125#89744C2211yescharacteristic
126#89744C2211yescharacteristic
127#89730C2211yescharacteristic
128#89730C2211yescharacteristic
129#89730C2211yescharacteristic
130#89729C2211yescharacteristic
131#89729C2211yescharacteristic
132#89729C2211yescharacteristic
133#89729C2211yescharacteristic
134#89729C2211yescharacteristic
135#89729C2211yescharacteristic
136#89728C2211yescharacteristic
137#89728C2211yescharacteristic
138#89723C2211yescharacteristic
139#89723C2211yescharacteristic
140#89718C2211yescharacteristic
141#89717C2211yescharacteristic
142#89717C2211yescharacteristic
143#89716C2211yescharacteristic
144#89716C2211yescharacteristic
145#89714C2211yescharacteristic
146#89714C2211yescharacteristic
147C22⋊C4×Dic7C2211yescharacteristic
148C22⋊C4×Dic7C2211yescharacteristic
149C22⋊C4×Dic7C2211yescharacteristic
150C22⋊C4×Dic7C2211yescharacteristic
151C22⋊C4×Dic7C2211yescharacteristic
152C22⋊C4×Dic7C2211yescharacteristic
153C22⋊C4×Dic7C2211yescharacteristic
154#89712C2211yescharacteristic
155#89712C2211yescharacteristic
156#89712C2211yescharacteristic
157C4×(C2×D7)⋊C4C2211yescharacteristic
158C4×(C2×D7)⋊C4C2211yescharacteristic
159C4×(C2×D7)⋊C4C2211yescharacteristic
160#89705C2211yescharacteristic
161C4×Dic7⋊C4C2211yescharacteristic
162C4×Dic7⋊C4C2211yescharacteristic
163C4×Dic7⋊C4C2211yescharacteristic
164C4×Dic7⋊C4C2211yescharacteristic
165C4×Dic7⋊C4C2211yescharacteristic
166#89442C2211yescharacteristic
167#89441C2211yescharacteristic
168#89440C2211yescharacteristic
169#89439C2211yescharacteristic
170#89439C2211yescharacteristic
171#89438C2211yescharacteristic
172#89438C2211yescharacteristic
173#89438C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89427C2211yescharacteristic
177#89425C2211yescharacteristic
178#89425C2211yescharacteristic
179#89424C2211yescharacteristic
180#89421C2211yescharacteristic
181#89421C2211yescharacteristic
182#89421C2211yescharacteristic
183#89421C2211yescharacteristic
184#89421C2211yescharacteristic
185#89419C2211yescharacteristic
186#89418C2211yescharacteristic
187#89418C2211yescharacteristic
188#89418C2211yescharacteristic
189#89418C2211yescharacteristic
190#34267—71nomaximal, Sylow
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C22×C7×D4C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C23×Dic7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C23×Dic7C2311yescharacteristic
213C2×#1159—24no—
214C2×#1159—24no—
215C2×#1159—24no—
216C2×#1159—24no—
217C2×#1159C2×C418yescomplemented
218C2×#1159C2×C418yescomplemented
219C22×D28C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×C4×D7C2311yescharacteristic
223C22×C4×D7C2311yescharacteristic
224C22×C4×D7C2311yescharacteristic
225C22×C4×D7C2311yescharacteristic
226C22×Dic14C2311yescharacteristic
227C22×Dic14C2311yescharacteristic
228C7×#121C2×C418yescomplemented
229C4×C7×D4—24no—
230C4×C7×D4—24no—
231C4×C7×D4—42no—
232C2×C7×C4⋊C4—42no—
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×C42×C7C2311yescharacteristic
252C2×C42×C7C2311yescharacteristic
253C2×C42×C7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264#6502C2×C418yescomplemented
265#6502C2×C418yescomplemented
266#6502C2×C418yescomplemented
267#6502C2×C418yescomplemented
268D4×Dic7—24no—
269D4×Dic7—24no—
270#6493C2×C418yescomplemented
271C4×C22⋊D7—24no—
272C4×C22⋊D7—24no—
273C4×C22⋊D7—24no—
274C4×C22⋊D7—24no—
275C4×C22⋊D7—42no—
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×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×Dic7⋊C4—24no—
296C2×Dic7⋊C4—24no—
297C2×Dic7⋊C4—42no—
298C2×Dic7⋊C4C2×C418yescomplemented
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×Dic7⋊C4C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×Dic7⋊C4C2311yescharacteristic
319C2×Dic7⋊C4C2311yescharacteristic
320C2×Dic7⋊C4C2311yescharacteristic
321C2×C4×Dic7—24no—
322C2×C4×Dic7—24no—
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327C2×C4×Dic7C2311yescharacteristic
328C2×C4×Dic7C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332C2×C4×Dic7C2311yescharacteristic
333C2×C4×Dic7C2311yescharacteristic
334C2×C4×Dic7C2311yescharacteristic
335C2×C4×Dic7C2311yescharacteristic
336C2×C4×Dic7C2311yescharacteristic
337C2×C4×Dic7C2311yescharacteristic
338C2×C4×Dic7C2311yescharacteristic
339C2×C4×Dic7C2311yescharacteristic
340C2×C4×Dic7C2311yescharacteristic
341C2×C4×Dic7C2311yescharacteristic
342C2×C4×Dic7C2311yescharacteristic
343#6459C2×C418yescomplemented
344#6459C2×C418yescomplemented
345#6456—42no—
346#6455—24no—
347D7×C4⋊C4—24no—
348#6450—24no—
349#6450—24no—
350#6447C2×C418yescomplemented
351#6447C2×C418yescomplemented
352(C22⋊D7)⋊C4—24no—
353(C22⋊D7)⋊C4—24no—
354(C22⋊D7)⋊C4—24no—
355(C22⋊D7)⋊C4—24no—
356(C22⋊D7)⋊C4—42no—
357#6441C2×C418yescomplemented
358#6441C2×C418yescomplemented
359#6440—24no—
360#6440—24no—
361#6440—24no—
362#6440D418yescomplemented
363#6435—24no—
364C42×D7—24no—
365C4×Dic14—24no—
366C4×Dic14—24no—
367C7×#95C2311yescharacteristic
368C7×#95C2311yescharacteristic
369C7×#95C2311yescharacteristic
370C7×#95C2311yescharacteristic
371C7×#95C2311yescharacteristic
372C7×#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C7⋊#95C2311yescharacteristic
387C7⋊#95C2311yescharacteristic
388C7⋊#95C2311yescharacteristic
389C7⋊#95C2311yescharacteristic
390C7⋊#95C2311yescharacteristic
391C7⋊#95C2311yescharacteristic
392C7⋊#95C2311yescharacteristic
393C7⋊#95C2311yescharacteristic
394C7⋊#95C2311yescharacteristic
395C7⋊#95C2311yescharacteristic
396C7⋊#95C2311yescharacteristic
397C7⋊#95C2311yescharacteristic
398C7⋊#95C2311yescharacteristic
399C2×#537—71no—
400C2×#520—71no—
401C2×C4×#41—71no—
402#2364—71no—
403#2364—71no—
404#2364—71no—
405#2364—71no—
406#2363—71no—
407#2363—71no—
408#2362—71no—
409#2362—71no—
410#2361—71no—
411#2361—71no—
412#2361—71no—
413#2361—71no—
414#2361—71no—
415#2361D711yescharacteristic, complemented
416#2360—71no—
417#2360—71no—
418#2324—71no—
419#2324—71no—
420#2323—71no—
421#2323—71no—
422#2311—71no—
423C4×C22⋊Q8—71no—
424C4×C22⋊Q8—71no—
425C4×#121—71no—
426C4×#121—71no—
427#2297—71no—
428C2×#389—71no—
429#2274—71no—
430C24×C7C2411yescharacteristic
431C24×C7C2411yescharacteristic
432C24×C7C2411yescharacteristic
433C23×D7C2411yescharacteristic
434C23×D7C2411yescharacteristic
435C2×C7×D4—22no—
436C2×C7×D4—22no—
437C2×C7×D4—22no—
438C2×C7×D4—22no—
439C2×C7×D4—41no—
440C2×C7×D4—41no—
441C2×C7×D4C22×C414yes—
442C2×C7×D4C22×C414yes—
443C2×C7×D4C22×C414yes—
444C22×C4×C7—22no—
445C22×C4×C7—22no—
446C22×C4×C7—22no—
447C22×C4×C7—22no—
448C22×C4×C7—22no—
449C22×C4×C7—22no—
450C22×C4×C7—41no—
451C22×C4×C7—41no—
452C22×C4×C7—41no—
453C22×C4×C7—41no—
454C22×C4×C7—41no—
455C22×C4×C7—41no—
456C22×C4×C7—41no—
457C22×C4×C7—41no—
458C22×C4×C7C22×C414yes—
459C22×C4×C7C2411yescharacteristic
460C22×C4×C7C2411yescharacteristic
461C22×C4×C7C2411yescharacteristic
462C22×C4×C7C2411yescharacteristic
463C22×C4×C7C2411yescharacteristic
464C22×C4×C7C2411yescharacteristic
465C22×C4×C7C2411yescharacteristic
466C22×C4×C7C2411yescharacteristic
467C22×C4×C7C2411yescharacteristic
468C22×C4×C7C2411yescharacteristic
469C22×C4×C7C2411yescharacteristic
470C22×C4×C7C2411yescharacteristic
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—41no—
480C2×C22⋊D7—41no—
481C2×C22⋊D7—41no—
482C2×C22⋊D7—41no—
483C2×C22⋊D7C22×C414yes—
484C2×C22⋊D7C22×C414yes—
485C2×C22⋊D7C22×C414yes—
486C2×C22⋊D7C22×C414yes—
487C2×C22⋊D7C22×C414yes—
488C2×C22⋊D7C22×C414yes—
489C22×Dic7—22no—
490C22×Dic7—22no—
491C22×Dic7—22no—
492C22×Dic7—22no—
493C22×Dic7—22no—
494C22×Dic7—22no—
495C22×Dic7—22no—
496C22×Dic7—22no—
497C22×Dic7—22no—
498C22×Dic7—22no—
499C22×Dic7—41no—
500C22×Dic7—41no—
501C22×Dic7—41no—
502C22×Dic7—41no—
503C22×Dic7—41no—
504C22×Dic7—41no—
505C22×Dic7—41no—
506C22×Dic7—41no—
507C22×Dic7C22×C414yes—
508C22×Dic7C22×C414yes—
509C22×Dic7C22×C414yes—
510C22×Dic7C22×C414yes—
511C22×Dic7C2×D414yes—
512C22×Dic7#4114yes—
513C22×Dic7C2411yescharacteristic
514C22×Dic7C2411yescharacteristic
515C22×Dic7C2411yescharacteristic
516C22×Dic7C2411yescharacteristic
517C22×Dic7C2411yescharacteristic
518C22×Dic7C2411yescharacteristic
519C22×Dic7C2411yescharacteristic
520C22×Dic7C2411yescharacteristic
521C22×Dic7C2411yescharacteristic
522C22×Dic7C2411yescharacteristic
523C22×Dic7C2411yescharacteristic
524C22×Dic7C2411yescharacteristic
525C22×Dic7C2411yescharacteristic
526C22×Dic7C2411yescharacteristic
527#1159—232no—
528#1159—232no—
529C2×D28—41no—
530C2×D28—41no—
531C2×D28C22×C414yes—
532C2×C4×D7—22no—
533C2×C4×D7—22no—
534C2×C4×D7—22no—
535C2×C4×D7—22no—
536C2×C4×D7—22no—
537C2×C4×D7—22no—
538C2×C4×D7—22no—
539C2×C4×D7—22no—
540C2×C4×D7—22no—
541C2×C4×D7—22no—
542C2×C4×D7—41no—
543C2×C4×D7—41no—
544C2×C4×D7—41no—
545C2×C4×D7—41no—
546C2×C4×D7—41no—
547C2×C4×D7—41no—
548C2×C4×D7C22×C414yes—
549C2×C4×D7C22×C414yes—
550C2×Dic14—22no—
551C2×Dic14—22no—
552C2×Dic14—22no—
553C2×Dic14—22no—
554C2×Dic14C22×C414yes—
555C2×Dic14C22×C414yes—
556C7×C4⋊C4—22no—
557C7×C4⋊C4—22no—
558C7×C4⋊C4—22no—
559C7×C4⋊C4—22no—
560C7×C4⋊C4—41no—
561C7×C4⋊C4—41no—
562C7×C4⋊C4C22×C414yes—
563C7×C22⋊C4—22no—
564C7×C22⋊C4—22no—
565C7×C22⋊C4—22no—
566C7×C22⋊C4—22no—
567C7×C22⋊C4—41no—
568C7×C22⋊C4—41no—
569C7×C22⋊C4—41no—
570C7×C22⋊C4C22×C414yes—
571C7×C22⋊C4C22×C414yes—
572C7×C22⋊C4C2×D414yes—
573C42×C7—22no—
574C42×C7—22no—
575C42×C7—41no—
576C42×C7—41no—
577C22⋊Dic7—22no—
578C22⋊Dic7—22no—
579C22⋊Dic7—22no—
580C22⋊Dic7—22no—
581C22⋊Dic7—41no—
582C22⋊Dic7—41no—
583C22⋊Dic7—41no—
584C22⋊Dic7C22×C414yes—
585C22⋊Dic7C22×C414yes—
586C22⋊Dic7C2×D414yes—
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—41no—
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)⋊C4C22×C414yes—
600(C2×D7)⋊C4C22×C414yes—
601(C2×D7)⋊C4C22×C414yes—
602(C2×D7)⋊C4C22×C414yes—
603C4⋊Dic7—22no—
604C4⋊Dic7—22no—
605C4⋊Dic7C22×C414yes—
606Dic7⋊C4—22no—
607Dic7⋊C4—22no—
608Dic7⋊C4—22no—
609Dic7⋊C4—22no—
610Dic7⋊C4—22no—
611Dic7⋊C4—22no—
612Dic7⋊C4—22no—
613Dic7⋊C4—22no—
614Dic7⋊C4—22no—
615Dic7⋊C4—22no—
616Dic7⋊C4—22no—
617Dic7⋊C4—22no—
618Dic7⋊C4—41no—
619Dic7⋊C4—41no—
620Dic7⋊C4C22×C414yes—
621Dic7⋊C4C22×C414yes—
622Dic7⋊C4C22×C414yes—
623Dic7⋊C4C22×C414yes—
624Dic7⋊C4C22×C414yes—
625Dic7⋊C4C22×C414yes—
626Dic7⋊C4C2×D414yes—
627Dic7⋊C4C2×D414yes—
628C4×Dic7—22no—
629C4×Dic7—22no—
630C4×Dic7—22no—
631C4×Dic7—22no—
632C4×Dic7—22no—
633C4×Dic7—22no—
634C4×Dic7—22no—
635C4×Dic7—22no—
636C4×Dic7—22no—
637C4×Dic7—22no—
638C4×Dic7—22no—
639C4×Dic7—22no—
640C4×Dic7—41no—
641C4×Dic7—41no—
642C4×Dic7—41no—
643C4×Dic7—41no—
644C4×Dic7—41no—
645C4×Dic7—41no—
646C4×Dic7C2×D414yes—
647C4×Dic7C2×D414yes—
648C22×#41—71no—
649C22×#41—71no—
650#537—716no—
651C2×C22⋊Q8—71no—
652C2×C22⋊Q8—71no—
653C2×C22⋊Q8—71no—
654C2×C22⋊Q8—71no—
655C2×#121—71no—
656C2×#121—71no—
657C2×#121—71no—
658C2×#121—71no—
659C2×#121—71no—
660C2×#121—71no—
661C2×#121—71no—
662C2×#121C2×D711yescharacteristic
663#520—148no—
664C4×#41—148no—
665C2×C4×Q8—71no—
666C2×C4×Q8—71no—
667C2×C4×Q8—71no—
668C2×C4×Q8—71no—
669C2×C4×D4—71no—
670C2×C4×D4—71no—
671C2×C4×D4—71no—
672C2×C4×D4—71no—
673C2×C4×D4—71no—
674C2×C4×D4—71no—
675C2×C4×D4—71no—
676C2×C4×D4—71no—
677C2×C4×D4—71no—
678C2×C4×D4—71no—
679C2×C4×D4—71no—
680C2×C4×D4—71no—
681C2×C4×D4—71no—
682C2×C4×D4C2×D711yescharacteristic
683C2×C4×D4C2×D711yescharacteristic
684C2×C4×D4C2×D711yescharacteristic
685C2×#117—71no—
686C2×#117—71no—
687C2×#117—71no—
688C2×#117—71no—
689C2×#117—71no—
690C2×#117—71no—
691C22×C4⋊C4—71no—
692C22×C4⋊C4—71no—
693C22×C4⋊C4—71no—
694C22×C4⋊C4—71no—
695C22×C4⋊C4—71no—
696C22×C4⋊C4C2×D711yescharacteristic
697C22×C42—71no—
698C22×C42—71no—
699C22×C42—71no—
700#391—71no—
701#391—71no—
702#391—71no—
703#391—71no—
704#390—71no—
705#390—71no—
706#390—71no—
707#390—71no—
708#390—71no—
709#390—71no—
710#390—71no—
711#390C2×D711yescharacteristic
712#389—71no—
713#389—71no—
714#389—71no—
715#389—71no—
716#389—71no—
717#389—71no—
718#389—71no—
719#389—71no—
720#389—71no—
721#389—71no—
722#389—71no—
723#389C2×D711yescharacteristic
724#388—71no—
725#388—71no—
726#388—71no—
727#388—71no—
728#388—71no—
729#388—71no—
730#388—71no—
731#388—71no—
732#388—71no—
733#388—71no—
734#388—71no—
735#388—71no—
736#388—71no—
737#388—71no—
738#388C2×D711yescharacteristic
739#388C2×D711yescharacteristic
740#387—71no—
741#387—71no—
742#387—71no—
743#387—71no—
744#387—71no—
745#387—71no—
746#387—71no—
747#387—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#386C2×D711yescharacteristic
763#386C2×D711yescharacteristic
764#385—71no—
765#385—71no—
766#385—71no—
767#385—71no—
768#385—71no—
769#385—71no—
770#385C2×D711yescharacteristic
771#385C2×D711yescharacteristic
772#380—71no—
773#380—71no—
774#380—71no—
775#380—71no—
776C4×C4⋊C4—71no—
777C4×C4⋊C4—71no—
778C4×C4⋊C4—71no—
779C4×C4⋊C4—71no—
780C4×C4⋊C4—71no—
781C4×C4⋊C4—71no—
782C4×C4⋊C4—71no—
783C4×C4⋊C4—71no—
784C4×C4⋊C4—71no—
785C4×C4⋊C4—71no—
786C4×C4⋊C4—71no—
787C4×C4⋊C4C2×D711yescharacteristic
788C4×C22⋊C4—71no—
789C4×C22⋊C4—71no—
790C4×C22⋊C4—71no—
791C4×C22⋊C4—71no—
792C4×C22⋊C4—71no—
793C4×C22⋊C4—71no—
794C4×C22⋊C4—71no—
795C4×C22⋊C4—71no—
796C4×C22⋊C4—71no—
797C4×C22⋊C4—71no—
798C4×C22⋊C4—71no—
799C4×C22⋊C4—71no—
800C4×C22⋊C4—71no—
801C4×C22⋊C4—71no—
802C4×C22⋊C4—71no—
803C4×C22⋊C4C2×D711yescharacteristic
804C2×#95—71no—
805C2×#95—71no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7—21no—
810C23×C7—21no—
811C23×C7—21no—
812C23×C7—21no—
813C23×C7—21no—
814C23×C7—21no—
815C23×C7—21no—
816C23×C7—21no—
817C23×C7—21no—
818C23×C7—21no—
819C23×C7—21no—
820C23×C7—21no—
821C23×C7—21no—
822C23×C7C23×C412yes—
823C23×C7C23×C412yes—
824C23×C7C23×C412yes—
825C23×C7C22×D412yes—
826C23×C7C2×#4112yes—
827C23×C7C2511yescharacteristic
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×D7C23×C412yes—
841C22×D7C23×C412yes—
842C7×D4—28no—
843C7×D4—28no—
844C7×D4—44no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—21no—
855C2×C4×C7—21no—
856C2×C4×C7—21no—
857C2×C4×C7—21no—
858C2×C4×C7—21no—
859C2×C4×C7—21no—
860C2×C4×C7—21no—
861C2×C4×C7—21no—
862C2×C4×C7—21no—
863C2×C4×C7—21no—
864C2×C4×C7—21no—
865C2×C4×C7—21no—
866C2×C4×C7—21no—
867C2×C4×C7—21no—
868C2×C4×C7—21no—
869C2×C4×C7—21no—
870C2×C4×C7—21no—
871C2×C4×C7—21no—
872C2×C4×C7—21no—
873C2×C4×C7—21no—
874C2×C4×C7—44no—
875C2×C4×C7—44no—
876C2×C4×C7—44no—
877C2×C4×C7—82no—
878C2×C4×C7—82no—
879C2×C4×C7C23×C412yes—
880C2×C4×C7C23×C412yes—
881C2×C4×C7C23×C412yes—
882C2×C4×C7C23×C412yes—
883C2×C4×C7C22×D412yes—
884C2×C4×C7C22×D412yes—
885C2×C4×C7H(5,𝔽2)12yes—
886C22⋊D7—28no—
887C22⋊D7—28no—
888C22⋊D7—28no—
889C22⋊D7—28no—
890C22⋊D7—44no—
891C22⋊D7—44no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—21no—
903C2×Dic7—21no—
904C2×Dic7—21no—
905C2×Dic7—21no—
906C2×Dic7—28no—
907C2×Dic7—28no—
908C2×Dic7—21no—
909C2×Dic7—21no—
910C2×Dic7—21no—
911C2×Dic7—21no—
912C2×Dic7—21no—
913C2×Dic7—21no—
914C2×Dic7—21no—
915C2×Dic7—21no—
916C2×Dic7—21no—
917C2×Dic7—21no—
918C2×Dic7—21no—
919C2×Dic7—21no—
920C2×Dic7—21no—
921C2×Dic7—21no—
922C2×Dic7—21no—
923C2×Dic7—44no—
924C2×Dic7—44no—
925C2×Dic7—44no—
926C2×Dic7—82no—
927C2×Dic7—82no—
928C2×Dic7C4×D4116yescomplemented
929C2×Dic7C23×C412yes—
930C2×Dic7C23×C412yes—
931C2×Dic7C23×C412yes—
932C2×Dic7C23×C412yes—
933C2×Dic7C23×C412yes—
934C2×Dic7C23×C412yes—
935C2×Dic7C22×D412yes—
936C2×Dic7C22×D412yes—
937C2×Dic7C22×D412yes—
938C2×Dic7C22×D412yes—
939C2×Dic7C2×#4112yes—
940C2×Dic7C2×#4112yes—
941C2×Dic72−1+412yes—
942D28—44no—
943C4×D7—28no—
944C4×D7—28no—
945C4×D7—44no—
946C4×D7—44no—
947C4×D7—82no—
948C4×D7—82no—
949Dic14—28no—
950Dic14—28no—
951C2×#41—78no—
952C2×#41—78no—
953C2×#41—144no—
954C2×#41—144no—
955C2×#41—144no—
956C2×#41—144no—
957C22×Q8—71no—
958C22×Q8—71no—
959C22×D4—71no—
960C22×D4—71no—
961C22×D4—71no—
962C22×D4—71no—
963C22×D4—71no—
964C22×D4—71no—
965C22×D4—71no—
966C22×D4C22×D711yescharacteristic
967C22×D4C22×D711yescharacteristic
968C22×D4C22×D711yescharacteristic
969C23×C4—71no—
970C23×C4—71no—
971C23×C4—71no—
972C23×C4—71no—
973C23×C4—71no—
974C23×C4—71no—
975C23×C4—71no—
976C23×C4—71no—
977C23×C4—71no—
978C23×C4—71no—
979C23×C4—71no—
980C23×C4—71no—
981C23×C4—71no—
982C23×C4—71no—
983C23×C4C22×D711yescharacteristic
984C23×C4C22×D711yescharacteristic
985C23×C4C22×D711yescharacteristic
986C23×C4C22×D711yescharacteristic
987C23×C4C22×D711yescharacteristic
988C22⋊Q8—78no—
989C22⋊Q8—78no—
990C22⋊Q8—78no—
991C22⋊Q8—78no—
992#121—78no—
993#121—78no—
994#121—78no—
995#121—78no—
996#121—78no—
997#121—78no—
998#121—78no—
999#121C4×D718yescomplemented
1000C4×Q8—144no—
1001C4×Q8—144no—
1002C4×Q8—144no—
1003C4×Q8—144no—
1004C4×D4—24no—
1005C4×D4—24no—
1006C4×D4—42no—
1007C4×D4—144no—
1008C4×D4—144no—
1009C4×D4—144no—
1010C4×D4—144no—
1011C4×D4—144no—
1012C4×D4—144no—
1013C4×D4—144no—
1014C4×D4—144no—
1015C4×D4—144no—
1016C4×D4—144no—
1017C4×D4—282no—
1018C4×D4—282no—
1019C4×D4—282no—
1020#117—78no—
1021#117—144no—
1022#117—144no—
1023#117—144no—
1024#117—144no—
1025#117—144no—
1026C2×C4⋊C4—42no—
1027C2×C4⋊C4—78no—
1028C2×C4⋊C4—71no—
1029C2×C4⋊C4—71no—
1030C2×C4⋊C4—71no—
1031C2×C4⋊C4—71no—
1032C2×C4⋊C4—71no—
1033C2×C4⋊C4—71no—
1034C2×C4⋊C4—71no—
1035C2×C4⋊C4—71no—
1036C2×C4⋊C4—71no—
1037C2×C4⋊C4—71no—
1038C2×C4⋊C4—71no—
1039C2×C4⋊C4—71no—
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⋊C4—71no—
1050C2×C4⋊C4—71no—
1051C2×C4⋊C4—71no—
1052C2×C4⋊C4—71no—
1053C2×C4⋊C4—144no—
1054C2×C4⋊C4—144no—
1055C2×C4⋊C4—144no—
1056C2×C4⋊C4—282no—
1057C2×C4⋊C4C22×D711yescharacteristic
1058C2×C4⋊C4C22×D711yescharacteristic
1059C2×C4⋊C4C22×D711yescharacteristic
1060C2×C4⋊C4C22×D711yescharacteristic
1061C2×C4⋊C4C22×D711yescharacteristic
1062C2×C4⋊C4C22×D711yescharacteristic
1063C2×C4⋊C4C22×D711yescharacteristic
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⋊C4C22×D711yescharacteristic
1091C2×C22⋊C4C22×D711yescharacteristic
1092C2×C22⋊C4C22×D711yescharacteristic
1093C2×C22⋊C4C22×D711yescharacteristic
1094C2×C22⋊C4C22×D711yescharacteristic
1095C2×C22⋊C4C22×D711yescharacteristic
1096C2×C22⋊C4C22×D711yescharacteristic
1097C2×C22⋊C4C22×D711yescharacteristic
1098C2×C22⋊C4C22×D711yescharacteristic
1099C2×C22⋊C4C22×D711yescharacteristic
1100C2×C42—71no—
1101C2×C42—71no—
1102C2×C42—71no—
1103C2×C42—71no—
1104C2×C42—71no—
1105C2×C42—71no—
1106C2×C42—71no—
1107C2×C42—71no—
1108C2×C42—71no—
1109C2×C42—71no—
1110C2×C42—71no—
1111C2×C42—71no—
1112C2×C42—71no—
1113C2×C42—71no—
1114C2×C42—71no—
1115C2×C42—71no—
1116C2×C42—71no—
1117C2×C42—71no—
1118C2×C42—71no—
1119C2×C42—71no—
1120C2×C42—144no—
1121C2×C42—144no—
1122C2×C42—144no—
1123C2×C42C22×D711yescharacteristic
1124C2×C42C22×D711yescharacteristic
1125C2×C42C22×D711yescharacteristic
1126C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1154#95C22×D711yescharacteristic
1155#95C22×D711yescharacteristic
1156#95C22×D711yescharacteristic
1157#95C22×D711yescharacteristic
1158#95C22×D711yescharacteristic
1159C22×C7—22no—
1160C22×C7—22no—
1161C22×C7—22no—
1162C22×C7—22no—
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—41no—
1172C22×C7—41no—
1173C22×C7—41no—
1174C22×C7—41no—
1175C22×C7—41no—
1176C22×C7—41no—
1177C22×C7—41no—
1178C22×C7—41no—
1179C22×C7C2×C4×D414yes—
1180C22×C7C24×C411yescharacteristic
1181C22×C7C23×D411yescharacteristic
1182C22×C7C22×#4111yescharacteristic
1183C22×C7C2×H(5,𝔽2)11yescharacteristic
1184C22×C7C2×2−1+411yescharacteristic
1185C22×C7#58511yescharacteristic
1186C22×C7#58511yescharacteristic
1187C2×D7—22no—
1188C2×D7—22no—
1189C2×D7—22no—
1190C2×D7—22no—
1191C2×D7—22no—
1192C2×D7—22no—
1193C2×D7—41no—
1194C2×D7—41no—
1195C2×D7—41no—
1196C2×D7—41no—
1197C2×D7—41no—
1198C2×D7—41no—
1199C2×D7—41no—
1200C2×D7—41no—
1201C4×C7—22no—
1202C4×C7—22no—
1203C4×C7—22no—
1204C4×C7—22no—
1205C4×C7—22no—
1206C4×C7—22no—
1207C4×C7—22no—
1208C4×C7—41no—
1209C4×C7—41no—
1210C4×C7—41no—
1211C4×C7—41no—
1212C4×C7—41no—
1213Dic7—22no—
1214Dic7—22no—
1215Dic7—22no—
1216Dic7—22no—
1217Dic7—22no—
1218Dic7—22no—
1219Dic7—22no—
1220Dic7—41no—
1221Dic7—41no—
1222Dic7—41no—
1223Dic7—41no—
1224Dic7—41no—
1225Dic7C2×C4×D414yes—
1226Dic7C2×C4×D414yes—
1227C24—71no—
1228C24—71no—
1229C24C23×D711yescharacteristic
1230C24C23×D711yescharacteristic
1231C24C23×D711yescharacteristic
1232#41—1432no—
1233#41—1432no—
1234C2×Q8—74no—
1235C2×Q8—74no—
1236C2×Q8—142no—
1237C2×Q8—142no—
1238C2×Q8—142no—
1239C2×Q8—142no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—74no—
1247C2×D4—74no—
1248C2×D4—74no—
1249C2×D4—74no—
1250C2×D4—74no—
1251C2×D4—74no—
1252C2×D4—74no—
1253C2×D4—142no—
1254C2×D4—142no—
1255C2×D4—142no—
1256C2×D4—142no—
1257C2×D4—142no—
1258C2×D4—142no—
1259C2×D4—142no—
1260C2×D4—142no—
1261C2×D4—281no—
1262C2×D4—281no—
1263C2×D4—281no—
1264C2×D4—281no—
1265C2×D4—281no—
1266C2×D4—281no—
1267C2×D4C2×C4×D714yes—
1268C2×D4C2×C4×D714yes—
1269C2×D4C2×C4×D714yes—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—74no—
1285C22×C4—74no—
1286C22×C4—74no—
1287C22×C4—71no—
1288C22×C4—71no—
1289C22×C4—74no—
1290C22×C4—74no—
1291C22×C4—71no—
1292C22×C4—71no—
1293C22×C4—71no—
1294C22×C4—71no—
1295C22×C4—71no—
1296C22×C4—71no—
1297C22×C4—71no—
1298C22×C4—74no—
1299C22×C4—74no—
1300C22×C4—74no—
1301C22×C4—71no—
1302C22×C4—71no—
1303C22×C4—71no—
1304C22×C4—71no—
1305C22×C4—71no—
1306C22×C4—142no—
1307C22×C4—142no—
1308C22×C4—142no—
1309C22×C4—142no—
1310C22×C4—142no—
1311C22×C4—142no—
1312C22×C4—142no—
1313C22×C4—142no—
1314C22×C4—142no—
1315C22×C4—142no—
1316C22×C4—142no—
1317C22×C4—142no—
1318C22×C4—142no—
1319C22×C4—142no—
1320C22×C4—142no—
1321C22×C4—142no—
1322C22×C4—142no—
1323C22×C4—142no—
1324C22×C4—142no—
1325C22×C4—142no—
1326C22×C4—281no—
1327C22×C4—281no—
1328C22×C4—281no—
1329C22×C4—281no—
1330C22×C4—281no—
1331C22×C4—281no—
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×C4C2×C4×D714yes—
1341C22×C4C23×D711yescharacteristic
1342C22×C4C23×D711yescharacteristic
1343C22×C4C23×D711yescharacteristic
1344C22×C4C23×D711yescharacteristic
1345C22×C4C23×D711yescharacteristic
1346C22×C4C23×D711yescharacteristic
1347C22×C4C23×D711yescharacteristic
1348C22×C4C23×D711yescharacteristic
1349C22×C4C23×D711yescharacteristic
1350C22×C4C23×D711yescharacteristic
1351C22×C4C23×D711yescharacteristic
1352C22×C4C23×D711yescharacteristic
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—74no—
1360C4⋊C4—74no—
1361C4⋊C4—74no—
1362C4⋊C4—74no—
1363C4⋊C4—74no—
1364C4⋊C4—74no—
1365C4⋊C4—74no—
1366C4⋊C4—74no—
1367C4⋊C4—74no—
1368C4⋊C4—142no—
1369C4⋊C4—142no—
1370C4⋊C4—142no—
1371C4⋊C4—142no—
1372C4⋊C4—142no—
1373C4⋊C4—142no—
1374C4⋊C4—142no—
1375C4⋊C4—142no—
1376C4⋊C4—142no—
1377C4⋊C4—142no—
1378C4⋊C4—142no—
1379C4⋊C4—142no—
1380C4⋊C4—142no—
1381C4⋊C4—142no—
1382C4⋊C4—281no—
1383C4⋊C4—281no—
1384C4⋊C4C2×C4×D714yes—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—74no—
1393C22⋊C4—74no—
1394C22⋊C4—74no—
1395C22⋊C4—74no—
1396C22⋊C4—74no—
1397C22⋊C4—74no—
1398C22⋊C4—74no—
1399C22⋊C4—142no—
1400C22⋊C4—142no—
1401C22⋊C4—142no—
1402C22⋊C4—142no—
1403C22⋊C4—142no—
1404C22⋊C4—142no—
1405C22⋊C4—142no—
1406C22⋊C4—142no—
1407C22⋊C4—142no—
1408C22⋊C4—142no—
1409C22⋊C4—281no—
1410C22⋊C4—281no—
1411C22⋊C4—281no—
1412C22⋊C4—281no—
1413C22⋊C4—281no—
1414C22⋊C4—281no—
1415C22⋊C4—281no—
1416C22⋊C4—281no—
1417C22⋊C4—281no—
1418C22⋊C4C2×C4×D714yes—
1419C22⋊C4C2×C4×D714yes—
1420C22⋊C4D4×D714yes—
1421C42—22no—
1422C42—22no—
1423C42—41no—
1424C42—41no—
1425C42—74no—
1426C42—74no—
1427C42—142no—
1428C42—142no—
1429C42—142no—
1430C42—142no—
1431C42—142no—
1432C42—142no—
1433C42—142no—
1434C42—142no—
1435C42—142no—
1436C42—142no—
1437C42—142no—
1438C42—142no—
1439C42—281no—
1440C42—281no—
1441C42—281no—
1442C42—281no—
1443C42—281no—
1444C42—281no—
1445C2×C7—24no—
1446C2×C7—42no—
1447C2×C7—42no—
1448C2×C7C22×C4×D411yescharacteristic
1449C2×C7C4×H(5,𝔽2)11yescharacteristic
1450C2×C7C4×2−1+411yescharacteristic
1451C2×C7#348811yescharacteristic
1452C2×C7#348911yescharacteristic
1453C2×C7#351111yescharacteristic
1454C2×C7#351211yescharacteristic
1455D7—42no—
1456D7—42no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—72no—
1474C23—72no—
1475C23—141no—
1476C23—141no—
1477C23—141no—
1478C23—141no—
1479C23—141no—
1480C23—141no—
1481C23—141no—
1482C23—141no—
1483C23—141no—
1484C23—141no—
1485C23—141no—
1486C23—141no—
1487C23C22×C4×D712yes—
1488C23C22×C4×D712yes—
1489C23C22×C4×D712yes—
1490C23C2×D4×D712yes—
1491C23D7×#4112yes—
1492C23C24×D711yescharacteristic
1493Q8—148no—
1494Q8—148no—
1495D4—28no—
1496D4—28no—
1497D4—44no—
1498D4—148no—
1499D4—148no—
1500D4—148no—
1501D4—148no—
1502D4—284no—
1503D4—284no—
1504D4—284no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—716no—
1538C2×C4—72no—
1539C2×C4—72no—
1540C2×C4—72no—
1541C2×C4—72no—
1542C2×C4—72no—
1543C2×C4—72no—
1544C2×C4—72no—
1545C2×C4—72no—
1546C2×C4—72no—
1547C2×C4—72no—
1548C2×C4—72no—
1549C2×C4—72no—
1550C2×C4—72no—
1551C2×C4—82no—
1552C2×C4—82no—
1553C2×C4—148no—
1554C2×C4—148no—
1555C2×C4—148no—
1556C2×C4—148no—
1557C2×C4—141no—
1558C2×C4—141no—
1559C2×C4—141no—
1560C2×C4—141no—
1561C2×C4—141no—
1562C2×C4—141no—
1563C2×C4—141no—
1564C2×C4—141no—
1565C2×C4—141no—
1566C2×C4—141no—
1567C2×C4—141no—
1568C2×C4—141no—
1569C2×C4—141no—
1570C2×C4—141no—
1571C2×C4—141no—
1572C2×C4—141no—
1573C2×C4—141no—
1574C2×C4—141no—
1575C2×C4—141no—
1576C2×C4—141no—
1577C2×C4—141no—
1578C2×C4—141no—
1579C2×C4—141no—
1580C2×C4—141no—
1581C2×C4—141no—
1582C2×C4—141no—
1583C2×C4—141no—
1584C2×C4—141no—
1585C2×C4—141no—
1586C2×C4—284no—
1587C2×C4—284no—
1588C2×C4—284no—
1589C2×C4—284no—
1590C2×C4—284no—
1591C2×C4—562no—
1592C2×C4—562no—
1593C2×C4—562no—
1594C2×C4—562no—
1595C2×C4C22×C4×D712yes—
1596C2×C4C22×C4×D712yes—
1597C2×C4C22×C4×D712yes—
1598C2×C4C22×C4×D712yes—
1599C2×C4C2×D4×D712yes—
1600C2×C4C2×D4×D712yes—
1601C2×C4#654812yes—
1602C7#3426711yescharacteristic, complemented, Sylow
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—142no—
1624C22—142no—
1625C22—142no—
1626C22—142no—
1627C22—142no—
1628C22—142no—
1629C22—281no—
1630C22—281no—
1631C22—281no—
1632C22—281no—
1633C22—281no—
1634C22—281no—
1635C22—281no—
1636C22—281no—
1637C22C4×D4×D714yes—
1638C22C23×C4×D711yescharacteristic
1639C22C22×D4×D711yescharacteristic
1640C22C2×#654811yescharacteristic
1641C22C2×D7×#4111yescharacteristic
1642C22#9061611yescharacteristic
1643C22#9061811yescharacteristic
1644C22D7×2−1+411yescharacteristic
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—74no—
1658C4—74no—
1659C4—142no—
1660C4—142no—
1661C4—142no—
1662C4—142no—
1663C4—142no—
1664C4—142no—
1665C4—142no—
1666C4—281no—
1667C4—281no—
1668C4—281no—
1669C4—281no—
1670C4—281no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—282no—
1675C2—282no—
1676C2C4×#654811yescharacteristic
1677C2C2×C4×D4×D711yescharacteristic
1678C2#1174295511yescharacteristic
1679C2#1174367511yescharacteristic
1680C2#1174374511yescharacteristic
1681C2#1174378411yescharacteristic
1682C2#1174394911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2361C2
socle, cosocleC23×C7C25
prime radicalC2×#90288C2
hypercenter#2361D7
hypocenterC7#34267
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2361

Complements

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

NH ≅ G/Ntype
2. C2×#90237C2semidirect
3. C2×C4×#1159C2semidirect
4. C7×#2361C2semidirect
5. #11740083C2semidirect
6. #11739787C2semidirect
7. #11739785C2semidirect
8. #11739785C2semidirect
9. C4×#6502C2semidirect
10. #11739608C2semidirect
11. C2×#89744C2semidirect
12. #11733750C2semidirect
13. #11733741C2semidirect
14. #11733428C2semidirect
15. #11733416C2semidirect
16. #11732925C2semidirect
17. #11732924C2semidirect
18. #11732905C2semidirect
19. #11732897C2semidirect
20. #11732123C2semidirect
21. #11732121C2semidirect
22. #11732107C2semidirect
23. #11732103C2semidirect
24. #11731842C2semidirect
25. #11731841C2semidirect
26. #11731830C2semidirect
27. #11731826C2semidirect
28. C4×#6459C2semidirect
29. #11731093C2semidirect
30. #11730916C2semidirect
31. #11730880C2semidirect
57. #90288C4semidirect
217. C2×#1159C2×C4semidirect
218. C2×#1159C2×C4semidirect
228. C7×#121C2×C4semidirect
264. #6502C2×C4semidirect
265. #6502C2×C4semidirect
266. #6502C2×C4semidirect
267. #6502C2×C4semidirect
270. #6493C2×C4semidirect
298. C2×Dic7⋊C4C2×C4semidirect
343. #6459C2×C4semidirect
344. #6459C2×C4semidirect
350. #6447C2×C4semidirect
351. #6447C2×C4semidirect
357. #6441C2×C4semidirect
358. #6441C2×C4semidirect
362. #6440D4semidirect
415. #2361D7semidirect
928. C2×Dic7C4×D4semidirect
999. #121C4×D7semidirect
1602. C7#34267semidirect

Maximal subgroups

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

subgroupindex
C2×#902882
C2×#902372
C2×C4×#11592
C7×#23612
#117400832
#117397872
#117397852
C4×#65022
#117396082
C2×#897442
#117337502
#117337412
#117334282
#117334162
#117329252
#117329242
#117329052
#117328972
#117321232
#117321212
#117321072
#117321032
#117318422
#117318412
#117318302
#117318262
C4×#64592
#117310932
#117309162
#117308802
#342677