Finite Group Databasebeta

← #13525000

Subgroups — #13525000

Order 1792.

2728 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90239C211yesmaximal, characteristic, complemented
2C2×#90229C211yesmaximal, characteristic, complemented
3C4×C7×#121C211yesmaximal, characteristic, complemented
4#11740103C211yesmaximal, characteristic, complemented
5#11740095C211yesmaximal, characteristic, complemented
6#11739845C211yesmaximal, characteristic, complemented
7#11739845C211yesmaximal, characteristic, complemented
8#11739791C211yesmaximal, characteristic, complemented
9C4×#6502C211yesmaximal, characteristic, complemented
10#11739515C211yesmaximal, characteristic, complemented
11C42×C22⋊D7C211yesmaximal, characteristic, complemented
12#11733802C211yesmaximal, characteristic, complemented
13#11733792C211yesmaximal, characteristic, complemented
14#11733515C211yesmaximal, characteristic, complemented
15#11733508C211yesmaximal, characteristic, complemented
16#11733321C211yesmaximal, characteristic, complemented
17#11733303C211yesmaximal, characteristic, complemented
18#11732992C211yesmaximal, characteristic, complemented
19#11732990C211yesmaximal, characteristic, complemented
20#11732206C211yesmaximal, characteristic, complemented
21#11732203C211yesmaximal, characteristic, complemented
22#11732198C211yesmaximal, characteristic, complemented
23#11732196C211yesmaximal, characteristic, complemented
24#11731374C211yesmaximal, characteristic, complemented
25#11731340C211yesmaximal, characteristic, complemented
26#11731222C211yesmaximal, characteristic, complemented
27C4×#6459C211yesmaximal, characteristic, complemented
28C4×#6447C211yesmaximal, characteristic, complemented
29#11731008C211yesmaximal, characteristic, complemented
30C4×#6448C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C22×#1157C2211yescharacteristic
33C22×#1157C2211yescharacteristic
34C2×C7×#121C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic
36C2×C4×C7×D4C2211yescharacteristic
37C2×C4×C7×D4C2211yescharacteristic
38C22×C42×C7C2211yescharacteristic
39C2×#6503C2211yescharacteristic
40C2×#6502C2211yescharacteristic
41C2×#6502C2211yescharacteristic
42C2×#6501C2211yescharacteristic
43C2×#6498C2211yescharacteristic
44C2×C4×C22⋊D7C2211yescharacteristic
45C2×C4×C22⋊D7C2211yescharacteristic
46C2×C4×C22⋊D7C2211yescharacteristic
47C2×C4×C22⋊D7C2211yescharacteristic
48C2×C4×C22⋊D7C2211yescharacteristic
49C2×C4×C22⋊D7C2211yescharacteristic
50C2×C4×C22⋊D7C2211yescharacteristic
51C2×#6489C2211yescharacteristic
52C22×C4×Dic7C2211yescharacteristic
53#90239—28no—
54#90229—28no—
55C2×#6461C2211yescharacteristic
56C2×#6459C2211yescharacteristic
57C2×#6458C2211yescharacteristic
58C2×#6452C2211yescharacteristic
59C2×#6451C2211yescharacteristic
60C2×#6449C2211yescharacteristic
61C2×#6448C2211yescharacteristic
62C2×#6448C2211yescharacteristic
63C2×#6448C2211yescharacteristic
64C2×#6448C2211yescharacteristic
65C2×#6447C2211yescharacteristic
66C2×#6447C2211yescharacteristic
67C2×#6447C2211yescharacteristic
68C2×(C22⋊D7)⋊C4C2211yescharacteristic
69C2×(C22⋊D7)⋊C4C2211yescharacteristic
70C2×#6442C2211yescharacteristic
71C2×#6441C2211yescharacteristic
72C2×C4×D28C2211yescharacteristic
73C2×#6435C2211yescharacteristic
74C2×C42×D7C2211yescharacteristic
75C2×C42×D7C2211yescharacteristic
76C2×C4×Dic14C2211yescharacteristic
77C7×#390C2211yescharacteristic
78C7×#389C2211yescharacteristic
79C7×#388C2211yescharacteristic
80C7×#388C2211yescharacteristic
81C7×#386C2211yescharacteristic
82C7×#386C2211yescharacteristic
83C7×#380C2211yescharacteristic
84C4×C7×C4⋊C4C2211yescharacteristic
85C4×C7×C22⋊C4C2211yescharacteristic
86C4×C7×C22⋊C4C2211yescharacteristic
87#89995C2211yescharacteristic
88#89995C2211yescharacteristic
89#89995C2211yescharacteristic
90#89995C2211yescharacteristic
91#89994C2211yescharacteristic
92#89994C2211yescharacteristic
93#89992C2211yescharacteristic
94#89985C2211yescharacteristic
95#89985C2211yescharacteristic
96#89985C2211yescharacteristic
97#89985C2211yescharacteristic
98C4×C22⋊Dic7C2211yescharacteristic
99C4×C22⋊Dic7C2211yescharacteristic
100C4×C22⋊Dic7C2211yescharacteristic
101C4×C22⋊Dic7C2211yescharacteristic
102C4×C22⋊Dic7C2211yescharacteristic
103#89765C2211yescharacteristic
104#89764C2211yescharacteristic
105#89763C2211yescharacteristic
106#89763C2211yescharacteristic
107#89763C2211yescharacteristic
108#89762C2211yescharacteristic
109#89761C2211yescharacteristic
110#89758C2211yescharacteristic
111#89756C2211yescharacteristic
112#89755C2211yescharacteristic
113#89753C2211yescharacteristic
114#89751C2211yescharacteristic
115#89751C2211yescharacteristic
116#89744C2211yescharacteristic
117#89744C2211yescharacteristic
118#89732C2211yescharacteristic
119#89732C2211yescharacteristic
120#89731C2211yescharacteristic
121#89731C2211yescharacteristic
122#89731C2211yescharacteristic
123#89731C2211yescharacteristic
124#89730C2211yescharacteristic
125#89729C2211yescharacteristic
126#89729C2211yescharacteristic
127#89729C2211yescharacteristic
128#89729C2211yescharacteristic
129#89729C2211yescharacteristic
130#89728C2211yescharacteristic
131#89728C2211yescharacteristic
132#89728C2211yescharacteristic
133#89725C2211yescharacteristic
134#89724C2211yescharacteristic
135#89724C2211yescharacteristic
136#89723C2211yescharacteristic
137#89723C2211yescharacteristic
138#89721C2211yescharacteristic
139#89719C2211yescharacteristic
140#89719C2211yescharacteristic
141#89717C2211yescharacteristic
142#89716C2211yescharacteristic
143#89714C2211yescharacteristic
144C22⋊C4×Dic7C2211yescharacteristic
145C22⋊C4×Dic7C2211yescharacteristic
146#89711C2211yescharacteristic
147#89711C2211yescharacteristic
148C4×(C2×D7)⋊C4C2211yescharacteristic
149C4×(C2×D7)⋊C4C2211yescharacteristic
150C4×(C2×D7)⋊C4C2211yescharacteristic
151C4×(C2×D7)⋊C4C2211yescharacteristic
152C4×(C2×D7)⋊C4C2211yescharacteristic
153C4×(C2×D7)⋊C4C2211yescharacteristic
154C4×(C2×D7)⋊C4C2211yescharacteristic
155C4×(C2×D7)⋊C4C2211yescharacteristic
156C4×(C2×D7)⋊C4C2211yescharacteristic
157C4×Dic7⋊C4C2211yescharacteristic
158C4×Dic7⋊C4C2211yescharacteristic
159C4×Dic7⋊C4C2211yescharacteristic
160C4×Dic7⋊C4C2211yescharacteristic
161C4×Dic7⋊C4C2211yescharacteristic
162C42×Dic7C2211yescharacteristic
163#89701C2211yescharacteristic
164#89701C2211yescharacteristic
165#89447C2211yescharacteristic
166#89447C2211yescharacteristic
167#89444C2211yescharacteristic
168#89442C2211yescharacteristic
169#89441C2211yescharacteristic
170#89441C2211yescharacteristic
171#89440C2211yescharacteristic
172#89439C2211yescharacteristic
173#89439C2211yescharacteristic
174#89438C2211yescharacteristic
175#89438C2211yescharacteristic
176#89437C2211yescharacteristic
177#89437C2211yescharacteristic
178#89437C2211yescharacteristic
179#89432C2211yescharacteristic
180#89424C2211yescharacteristic
181#89422C2211yescharacteristic
182#89421C2211yescharacteristic
183#89421C2211yescharacteristic
184#89419C2211yescharacteristic
185#89418C2211yescharacteristic
186#89418C2211yescharacteristic
187#89418C2211yescharacteristic
188#89418C2211yescharacteristic
189#34889—71nomaximal, Sylow
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C2×#1157—24no—
210C2×#1157—24no—
211C2×#1157—24no—
212C2×#1157—24no—
213C2×#1157—42no—
214C2×#1157—42no—
215C22×D28C2311yescharacteristic
216C22×D28C2311yescharacteristic
217C22×D28C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×C4×D7C2311yescharacteristic
223C22×C4×D7C2311yescharacteristic
224C22×C4×D7C2311yescharacteristic
225C22×Dic14C2311yescharacteristic
226C22×Dic14C2311yescharacteristic
227C22×Dic14C2311yescharacteristic
228C7×#121—24no—
229C4×C7×D4—24no—
230C4×C7×D4—24no—
231C4×C7×D4—42no—
232C2×C7×C4⋊C4C2311yescharacteristic
233C2×C7×C4⋊C4C2311yescharacteristic
234C2×C7×C4⋊C4C2311yescharacteristic
235C2×C7×C4⋊C4C2311yescharacteristic
236C2×C7×C4⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊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×C42×C7—42no—
248C2×C42×C7C2311yescharacteristic
249C2×C42×C7C2311yescharacteristic
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
264C2×C22⋊Dic7C2311yescharacteristic
265C2×C22⋊Dic7C2311yescharacteristic
266C2×C22⋊Dic7C2311yescharacteristic
267#6503—24no—
268#6502—24no—
269#6502—24no—
270#6501—24no—
271#6498—24no—
272C4×C22⋊D7—24no—
273C4×C22⋊D7—24no—
274C4×C22⋊D7—24no—
275C4×C22⋊D7—24no—
276C4×C22⋊D7—24no—
277C4×C22⋊D7—42no—
278C4×C22⋊D7D418yescomplemented
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
302#6489—24no—
303C2×C4⋊Dic7C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×C4⋊Dic7C2311yescharacteristic
306C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
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
338#6461—24no—
339#6459—24no—
340#6458—24no—
341#6452—24no—
342#6451—24no—
343#6449—24no—
344#6448—24no—
345#6448—24no—
346#6448—24no—
347#6448—24no—
348#6447—24no—
349#6447—24no—
350#6447—24no—
351(C22⋊D7)⋊C4—24no—
352(C22⋊D7)⋊C4—24no—
353#6442—24no—
354#6441—24no—
355C4×D28—24no—
356#6435—24no—
357C42×D7—24no—
358C42×D7—42no—
359C4×Dic14—24no—
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
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
392C2×#532—71no—
393C2×#529—71no—
394#2559—71no—
395#2559—71no—
396#2557—71no—
397#2557—71no—
398#2550—71no—
399#2544—71no—
400#2540—71no—
401#2535—71no—
402#2521—71no—
403#2521—71no—
404#2492—71no—
405#2490—71no—
406#2464—71no—
407#2464—71no—
408#2428—71no—
409#2427—71no—
410#2395—71no—
411#2395—71no—
412#2388—71no—
413#2388—71no—
414C4×#124—71no—
415C4×C22⋊Q8—71no—
416C4×#121—71no—
417C4×#121—71no—
418C4×#121D711yescharacteristic, complemented
419#2297—71no—
420#2297—71no—
421C42×D4—71no—
422C42×D4—71no—
423C24×C7C2411yescharacteristic
424C24×C7C2411yescharacteristic
425C24×C7C2411yescharacteristic
426C23×D7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C2×C7×D4—22no—
430C2×C7×D4—22no—
431C2×C7×D4—22no—
432C2×C7×D4—22no—
433C2×C7×D4—22no—
434C2×C7×D4—22no—
435C2×C7×D4—41no—
436C2×C7×D4—41no—
437C2×C7×D4—41no—
438C22×C4×C7—22no—
439C22×C4×C7—22no—
440C22×C4×C7—22no—
441C22×C4×C7—22no—
442C22×C4×C7—22no—
443C22×C4×C7—22no—
444C22×C4×C7—22no—
445C22×C4×C7—22no—
446C22×C4×C7—22no—
447C22×C4×C7—22no—
448C22×C4×C7—22no—
449C22×C4×C7—41no—
450C22×C4×C7—41no—
451C22×C4×C7—41no—
452C22×C4×C7C2×D414yes—
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
463C22×C4×C7C2411yescharacteristic
464C22×C4×C7C2411yescharacteristic
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—22no—
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⋊D7C2×D414yes—
492C22×Dic7—22no—
493C22×Dic7—22no—
494C22×Dic7—22no—
495C22×Dic7—22no—
496C22×Dic7—22no—
497C22×Dic7—41no—
498C22×Dic7C2411yescharacteristic
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C22×Dic7C2411yescharacteristic
508C22×Dic7C2411yescharacteristic
509C22×Dic7C2411yescharacteristic
510C22×Dic7C2411yescharacteristic
511#1157—416no—
512#1157—416no—
513C2×D28—22no—
514C2×D28—22no—
515C2×D28—22no—
516C2×D28—22no—
517C2×D28—22no—
518C2×D28—22no—
519C2×D28—41no—
520C2×D28—41no—
521C2×D28—41no—
522C2×C4×D7—22no—
523C2×C4×D7—22no—
524C2×C4×D7—22no—
525C2×C4×D7—22no—
526C2×C4×D7—22no—
527C2×C4×D7—22no—
528C2×C4×D7—22no—
529C2×C4×D7—22no—
530C2×C4×D7—22no—
531C2×C4×D7—22no—
532C2×C4×D7—22no—
533C2×C4×D7—22no—
534C2×C4×D7—22no—
535C2×C4×D7—22no—
536C2×C4×D7—22no—
537C2×C4×D7—41no—
538C2×C4×D7—41no—
539C2×C4×D7—41no—
540C2×C4×D7—41no—
541C2×C4×D7C2×D414yes—
542C2×C4×D7#4114yes—
543C2×Dic14—22no—
544C2×Dic14—22no—
545C2×Dic14—22no—
546C2×Dic14—22no—
547C2×Dic14—22no—
548C2×Dic14—22no—
549C2×Dic14—22no—
550C2×Dic14—41no—
551C2×Dic14—41no—
552C7×C4⋊C4—22no—
553C7×C4⋊C4—22no—
554C7×C4⋊C4—22no—
555C7×C4⋊C4—22no—
556C7×C4⋊C4—41no—
557C7×C22⋊C4—22no—
558C7×C22⋊C4—22no—
559C7×C22⋊C4—22no—
560C7×C22⋊C4—22no—
561C7×C22⋊C4—22no—
562C7×C22⋊C4—22no—
563C7×C22⋊C4—22no—
564C7×C22⋊C4—41no—
565C7×C22⋊C4—41no—
566C7×C22⋊C4#4114yescomplemented
567C42×C7—22no—
568C42×C7—22no—
569C42×C7—22no—
570C42×C7—22no—
571C42×C7—41no—
572C42×C7—41no—
573C22⋊Dic7—22no—
574C22⋊Dic7—22no—
575C22⋊Dic7—22no—
576C22⋊Dic7—22no—
577C22⋊Dic7—22no—
578C22⋊Dic7—22no—
579C22⋊Dic7—22no—
580C22⋊Dic7—22no—
581C22⋊Dic7—22no—
582C22⋊Dic7—41no—
583C22⋊Dic7—41no—
584C22⋊Dic7—41no—
585C22⋊Dic7C2×D414yes—
586(C2×D7)⋊C4—22no—
587(C2×D7)⋊C4—22no—
588(C2×D7)⋊C4—22no—
589(C2×D7)⋊C4—22no—
590(C2×D7)⋊C4—22no—
591(C2×D7)⋊C4—22no—
592(C2×D7)⋊C4—22no—
593(C2×D7)⋊C4—22no—
594(C2×D7)⋊C4—22no—
595(C2×D7)⋊C4—22no—
596(C2×D7)⋊C4—22no—
597(C2×D7)⋊C4—22no—
598(C2×D7)⋊C4—22no—
599(C2×D7)⋊C4—22no—
600(C2×D7)⋊C4—22no—
601(C2×D7)⋊C4—22no—
602(C2×D7)⋊C4—22no—
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)⋊C4C2×D414yes—
609C4⋊Dic7—22no—
610C4⋊Dic7—22no—
611C4⋊Dic7—22no—
612C4⋊Dic7—22no—
613Dic7⋊C4—22no—
614Dic7⋊C4—22no—
615Dic7⋊C4—22no—
616Dic7⋊C4—22no—
617Dic7⋊C4—22no—
618Dic7⋊C4—22no—
619Dic7⋊C4—22no—
620Dic7⋊C4—22no—
621Dic7⋊C4—22no—
622Dic7⋊C4—22no—
623Dic7⋊C4—22no—
624Dic7⋊C4—22no—
625Dic7⋊C4—41no—
626Dic7⋊C4C2×D414yes—
627Dic7⋊C4#4114yescomplemented
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—41no—
639C4×Dic7—41no—
640C4×Dic7—41no—
641C4×Dic7C2×D414yes—
642C4×Dic7#4114yescomplemented
643C22×#41—71no—
644C22×#41—71no—
645#532—148no—
646C2×C4⋊Q8—71no—
647C2×#127—71no—
648#529—148no—
649C2×#126—71no—
650C2×#126—71no—
651C2×#125—71no—
652C2×#124—71no—
653C2×#124—71no—
654C2×#124—71no—
655C2×#124—71no—
656C2×#123—71no—
657C2×#123—71no—
658C2×C22⋊Q8—71no—
659C2×C22⋊Q8—71no—
660C2×#121—71no—
661C2×#121—71no—
662C2×#121—71no—
663C2×#121—71no—
664C2×#121—71no—
665C2×#121—71no—
666C2×#121—71no—
667C2×#121C2×D711yescharacteristic
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×D4C2×D711yescharacteristic
680C2×C4×D4C2×D711yescharacteristic
681C2×C4×D4C2×D711yescharacteristic
682C2×#117—71no—
683C2×#117—71no—
684C22×C42—71no—
685C22×C42—71no—
686C22×C42—71no—
687C22×C42C2×D711yescharacteristic
688#400—71no—
689#400—71no—
690#399—71no—
691#399—71no—
692#398—71no—
693#398—71no—
694#397—71no—
695#397—71no—
696#397—71no—
697#397—71no—
698#397—71no—
699#397—71no—
700#395—71no—
701#395—71no—
702#394—71no—
703#394—71no—
704#394—71no—
705#394—71no—
706#394—71no—
707#394—71no—
708#394—71no—
709#394—71no—
710#394—71no—
711#394—71no—
712#393—71no—
713#393—71no—
714#392—71no—
715#392—71no—
716#392—71no—
717#392—71no—
718#392—71no—
719#392—71no—
720#391—71no—
721#391—71no—
722#391—71no—
723#391—71no—
724#391—71no—
725#391—71no—
726#390—71no—
727#390—71no—
728#390—71no—
729#390—71no—
730#390—71no—
731#390—71no—
732#390—71no—
733#390C2×D711yescharacteristic
734#389—71no—
735#389—71no—
736#389—71no—
737#389C2×D711yescharacteristic
738#388—71no—
739#388—71no—
740#388—71no—
741#388—71no—
742#388—71no—
743#388—71no—
744#388—71no—
745#388—71no—
746#388C2×D711yescharacteristic
747#388C2×D711yescharacteristic
748#387—71no—
749#387—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#382—71no—
767#380—71no—
768#380—71no—
769#380—71no—
770#380C2×D711yescharacteristic
771C4×C4⋊C4—71no—
772C4×C4⋊C4—71no—
773C4×C4⋊C4—71no—
774C4×C4⋊C4—71no—
775C4×C4⋊C4—71no—
776C4×C4⋊C4—71no—
777C4×C4⋊C4—71no—
778C4×C4⋊C4C2×D711yescharacteristic
779C4×C22⋊C4—71no—
780C4×C22⋊C4—71no—
781C4×C22⋊C4—71no—
782C4×C22⋊C4—71no—
783C4×C22⋊C4—71no—
784C4×C22⋊C4—71no—
785C4×C22⋊C4—71no—
786C4×C22⋊C4—71no—
787C4×C22⋊C4—71no—
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⋊C4C2×D711yescharacteristic
798C4×C22⋊C4C2×D711yescharacteristic
799C43—71no—
800C23×C7—21no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7—21no—
810C23×C7—21no—
811C23×C7—21no—
812C23×C7—21no—
813C23×C7—21no—
814C23×C7—21no—
815C23×C7—21no—
816C23×C7—21no—
817C23×C7—21no—
818C23×C7—21no—
819C23×C7C22×D412yes—
820C23×C7C2×#4112yes—
821C23×C7C2511yescharacteristic
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—21no—
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×D7C22×D412yes—
842C22×D7C2×#4112yes—
843C7×D4—44no—
844C7×D4—44no—
845C7×D4—44no—
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—28no—
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—21no—
875C2×C4×C7—44no—
876C2×C4×C7—44no—
877C2×C4×C7—44no—
878C2×C4×C7—44no—
879C2×C4×C7C22×D412yes—
880C2×C4×C7C22×D412yes—
881C2×C4×C7C2×#4112yes—
882C2×C4×C7C2×#4112yes—
883C2×C4×C7C2×#4112yes—
884C2×C4×C7C2×#4112yes—
885C2×C4×C7C2×#4112yes—
886C2×C4×C7H(5,𝔽2)12yes—
887C22⋊D7—28no—
888C22⋊D7—28no—
889C22⋊D7—44no—
890C22⋊D7—44no—
891C22⋊D7—44no—
892C22⋊D7—44no—
893C22⋊D7—44no—
894C22⋊D7—44no—
895C22⋊D7—44no—
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—21no—
907C2×Dic7—21no—
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—21no—
924C2×Dic7—21no—
925C2×Dic7—21no—
926C2×Dic7—21no—
927C2×Dic7—44no—
928C2×Dic7—44no—
929C2×Dic7C22×D412yes—
930C2×Dic7C22×D412yes—
931C2×Dic7C22×D412yes—
932C2×Dic7C2×#4112yes—
933C2×Dic7C2×#4112yes—
934C2×Dic7C2×#4112yes—
935C2×Dic7C2×#4112yes—
936C2×Dic7C2×#4112yes—
937D28—44no—
938D28—44no—
939D28—44no—
940C4×D7—28no—
941C4×D7—28no—
942C4×D7—44no—
943C4×D7—44no—
944C4×D7—44no—
945C4×D7—44no—
946C4×D7—44no—
947Dic14—44no—
948Dic14—44no—
949Dic14—44no—
950C2×#41—144no—
951C2×#41—144no—
952C2×#41—144no—
953C2×#41—144no—
954C2×#41—282no—
955C2×#41—282no—
956C22×Q8—71no—
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×D4—71no—
967C22×D4—71no—
968C22×D4—71no—
969C22×D4—71no—
970C22×D4—71no—
971C22×D4C22×D711yescharacteristic
972C22×D4C22×D711yescharacteristic
973C22×D4C22×D711yescharacteristic
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
988C4⋊Q8—144no—
989#127—144no—
990#126—144no—
991#126—144no—
992#125—144no—
993#124—144no—
994#124—144no—
995#124—144no—
996#124—144no—
997#123—144no—
998#123—144no—
999C22⋊Q8—144no—
1000C22⋊Q8—144no—
1001#121—24no—
1002#121—144no—
1003#121—144no—
1004#121—144no—
1005#121—144no—
1006#121—144no—
1007#121—144no—
1008#121—144no—
1009C4×Q8—144no—
1010C4×D4—24no—
1011C4×D4—24no—
1012C4×D4—42no—
1013C4×D4—78no—
1014C4×D4—144no—
1015C4×D4—144no—
1016C4×D4—144no—
1017C4×D4—144no—
1018C4×D4—144no—
1019C4×D4—144no—
1020C4×D4—144no—
1021C4×D4—144no—
1022C4×D4—282no—
1023#117—144no—
1024#117—144no—
1025C2×C4⋊C4—71no—
1026C2×C4⋊C4—71no—
1027C2×C4⋊C4—71no—
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⋊C4C22×D711yescharacteristic
1045C2×C4⋊C4C22×D711yescharacteristic
1046C2×C4⋊C4C22×D711yescharacteristic
1047C2×C4⋊C4C22×D711yescharacteristic
1048C2×C4⋊C4C22×D711yescharacteristic
1049C2×C22⋊C4—71no—
1050C2×C22⋊C4—71no—
1051C2×C22⋊C4—71no—
1052C2×C22⋊C4—71no—
1053C2×C22⋊C4—71no—
1054C2×C22⋊C4—71no—
1055C2×C22⋊C4—71no—
1056C2×C22⋊C4—71no—
1057C2×C22⋊C4—71no—
1058C2×C22⋊C4—71no—
1059C2×C22⋊C4—71no—
1060C2×C22⋊C4—71no—
1061C2×C22⋊C4—71no—
1062C2×C22⋊C4—71no—
1063C2×C22⋊C4—71no—
1064C2×C22⋊C4—71no—
1065C2×C22⋊C4—71no—
1066C2×C22⋊C4—71no—
1067C2×C22⋊C4—71no—
1068C2×C22⋊C4—71no—
1069C2×C22⋊C4—71no—
1070C2×C22⋊C4—71no—
1071C2×C22⋊C4—71no—
1072C2×C22⋊C4—71no—
1073C2×C22⋊C4—71no—
1074C2×C22⋊C4—71no—
1075C2×C22⋊C4—71no—
1076C2×C22⋊C4—71no—
1077C2×C22⋊C4—71no—
1078C2×C22⋊C4—71no—
1079C2×C22⋊C4—71no—
1080C2×C22⋊C4—71no—
1081C2×C22⋊C4—71no—
1082C2×C22⋊C4—71no—
1083C2×C22⋊C4—71no—
1084C2×C22⋊C4—71no—
1085C2×C22⋊C4C22×D711yescharacteristic
1086C2×C22⋊C4C22×D711yescharacteristic
1087C2×C22⋊C4C22×D711yescharacteristic
1088C2×C22⋊C4C22×D711yescharacteristic
1089C2×C22⋊C4C22×D711yescharacteristic
1090C2×C22⋊C4C22×D711yescharacteristic
1091C2×C22⋊C4C22×D711yescharacteristic
1092C2×C22⋊C4C22×D711yescharacteristic
1093C2×C22⋊C4C22×D711yescharacteristic
1094C2×C22⋊C4C22×D711yescharacteristic
1095C2×C42—42no—
1096C2×C42—71no—
1097C2×C42—71no—
1098C2×C42—71no—
1099C2×C42—71no—
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—144no—
1112C2×C42—144no—
1113C2×C42—282no—
1114C2×C42C22×D711yescharacteristic
1115C2×C42C22×D711yescharacteristic
1116C2×C42C22×D711yescharacteristic
1117C2×C42C22×D711yescharacteristic
1118C2×C42C22×D711yescharacteristic
1119C2×C42C22×D711yescharacteristic
1120#95—71no—
1121#95—71no—
1122#95—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#95C22×D711yescharacteristic
1147#95C22×D711yescharacteristic
1148#95C22×D711yescharacteristic
1149#95C22×D711yescharacteristic
1150#95C22×D711yescharacteristic
1151#95C22×D711yescharacteristic
1152C22×C7—22no—
1153C22×C7—22no—
1154C22×C7—22no—
1155C22×C7—22no—
1156C22×C7—22no—
1157C22×C7—22no—
1158C22×C7—41no—
1159C22×C7—41no—
1160C22×C7—41no—
1161C22×C7—41no—
1162C22×C7—41no—
1163C22×C7—41no—
1164C22×C7—41no—
1165C22×C7—41no—
1166C22×C7—41no—
1167C22×C7—41no—
1168C22×C7—41no—
1169C22×C7—41no—
1170C22×C7—41no—
1171C22×C7—41no—
1172C22×C7—41no—
1173C22×C7C23×D411yescharacteristic
1174C22×C7C22×#4111yescharacteristic
1175C22×C7C22×#4111yescharacteristic
1176C22×C7C22×#4111yescharacteristic
1177C22×C7C22×#4111yescharacteristic
1178C22×C7C2×H(5,𝔽2)11yescharacteristic
1179C22×C7#58511yescharacteristic
1180C2×D7—22no—
1181C2×D7—22no—
1182C2×D7—22no—
1183C2×D7—22no—
1184C2×D7—22no—
1185C2×D7—22no—
1186C2×D7—41no—
1187C2×D7—41no—
1188C2×D7—41no—
1189C2×D7—41no—
1190C2×D7—41no—
1191C2×D7—41no—
1192C2×D7—41no—
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—41no—
1207C4×C7—41no—
1208C4×C7—41no—
1209C4×C7—41no—
1210C4×C7—41no—
1211C4×C7—41no—
1212C4×C7#54614yes—
1213Dic7—22no—
1214Dic7—22no—
1215Dic7—22no—
1216Dic7—22no—
1217Dic7—22no—
1218Dic7—41no—
1219Dic7—41no—
1220Dic7—41no—
1221Dic7—41no—
1222Dic7—41no—
1223Dic7—41no—
1224Dic7—41no—
1225Dic7#53214yes—
1226C24—71no—
1227C24—71no—
1228C24—71no—
1229C24C23×D711yescharacteristic
1230C24C23×D711yescharacteristic
1231C24C23×D711yescharacteristic
1232#41—2816no—
1233#41—2816no—
1234C2×Q8—142no—
1235C2×Q8—142no—
1236C2×Q8—142no—
1237C2×Q8—142no—
1238C2×Q8—142no—
1239C2×Q8—142no—
1240C2×Q8—142no—
1241C2×Q8—281no—
1242C2×Q8—281no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
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—142no—
1262C2×D4—142no—
1263C2×D4—142no—
1264C2×D4—142no—
1265C2×D4—142no—
1266C2×D4—142no—
1267C2×D4—142no—
1268C2×D4—142no—
1269C2×D4—142no—
1270C2×D4—142no—
1271C2×D4—142no—
1272C2×D4—142no—
1273C2×D4—142no—
1274C2×D4—142no—
1275C2×D4—142no—
1276C2×D4—142no—
1277C2×D4—142no—
1278C2×D4—142no—
1279C2×D4—281no—
1280C2×D4—281no—
1281C2×D4—281no—
1282C2×D4—281no—
1283C2×D4—281no—
1284C2×D4—281no—
1285C2×D4—281no—
1286C2×D4—281no—
1287C2×D4—281no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—71no—
1303C22×C4—71no—
1304C22×C4—71no—
1305C22×C4—71no—
1306C22×C4—71no—
1307C22×C4—71no—
1308C22×C4—74no—
1309C22×C4—74no—
1310C22×C4—71no—
1311C22×C4—71no—
1312C22×C4—71no—
1313C22×C4—71no—
1314C22×C4—71no—
1315C22×C4—71no—
1316C22×C4—71no—
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—142no—
1327C22×C4—142no—
1328C22×C4—142no—
1329C22×C4—142no—
1330C22×C4—142no—
1331C22×C4—142no—
1332C22×C4—142no—
1333C22×C4—142no—
1334C22×C4—142no—
1335C22×C4—142no—
1336C22×C4—142no—
1337C22×C4—281no—
1338C22×C4—281no—
1339C22×C4—281no—
1340C22×C4—281no—
1341C22×C4—281no—
1342C22×C4D4×D714yes—
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
1353C22×C4C23×D711yescharacteristic
1354C22×C4C23×D711yescharacteristic
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—41no—
1360C4⋊C4—74no—
1361C4⋊C4—74no—
1362C4⋊C4—142no—
1363C4⋊C4—142no—
1364C4⋊C4—142no—
1365C4⋊C4—142no—
1366C4⋊C4—142no—
1367C4⋊C4—142no—
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—281no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—74no—
1389C22⋊C4—74no—
1390C22⋊C4—142no—
1391C22⋊C4—142no—
1392C22⋊C4—142no—
1393C22⋊C4—142no—
1394C22⋊C4—142no—
1395C22⋊C4—142no—
1396C22⋊C4—142no—
1397C22⋊C4—142no—
1398C22⋊C4—142no—
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—142no—
1410C22⋊C4—142no—
1411C22⋊C4—142no—
1412C22⋊C4—142no—
1413C22⋊C4—142no—
1414C22⋊C4—142no—
1415C22⋊C4—142no—
1416C22⋊C4—281no—
1417C22⋊C4—281no—
1418C22⋊C4—281no—
1419C22⋊C4—281no—
1420C22⋊C4—281no—
1421C22⋊C4—281no—
1422C22⋊C4—281no—
1423C22⋊C4—281no—
1424C22⋊C4#115714yescomplemented
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—41no—
1430C42—41no—
1431C42—74no—
1432C42—74no—
1433C42—142no—
1434C42—142no—
1435C42—142no—
1436C42—142no—
1437C42—142no—
1438C42—142no—
1439C42—142no—
1440C42—142no—
1441C42—142no—
1442C42—142no—
1443C42—281no—
1444C42—281no—
1445C42—281no—
1446C2×C7—42no—
1447C2×C7—42no—
1448C2×C7—81no—
1449C2×C7C2×#53211yescharacteristic
1450C2×C7#344411yescharacteristic
1451C2×C7#346011yescharacteristic
1452C2×C7C2×#54611yescharacteristic
1453C2×C7D4×#4111yescharacteristic
1454C2×C7#348011yescharacteristic
1455C2×C7#348111yescharacteristic
1456D7—42no—
1457D7—42no—
1458D7—81no—
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—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—72no—
1479C23—72no—
1480C23—141no—
1481C23—141no—
1482C23—141no—
1483C23—141no—
1484C23—141no—
1485C23—141no—
1486C23—141no—
1487C23—141no—
1488C23—141no—
1489C23—141no—
1490C23—141no—
1491C23—141no—
1492C23—141no—
1493C23—141no—
1494C23—141no—
1495C23—141no—
1496C23—141no—
1497C23—141no—
1498C23—141no—
1499C23C2×#115712yes—
1500C23C2×D4×D712yes—
1501C23C24×D711yescharacteristic
1502Q8—284no—
1503Q8—284no—
1504Q8—284no—
1505D4—44no—
1506D4—44no—
1507D4—44no—
1508D4—148no—
1509D4—148no—
1510D4—284no—
1511D4—284no—
1512D4—284no—
1513D4—284no—
1514D4—284no—
1515D4—284no—
1516D4—284no—
1517D4—284no—
1518D4—284no—
1519D4—284no—
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—28no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—44no—
1552C2×C4—44no—
1553C2×C4—72no—
1554C2×C4—72no—
1555C2×C4—72no—
1556C2×C4—72no—
1557C2×C4—72no—
1558C2×C4—72no—
1559C2×C4—72no—
1560C2×C4—72no—
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—148no—
1572C2×C4—148no—
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—141no—
1587C2×C4—141no—
1588C2×C4—141no—
1589C2×C4—141no—
1590C2×C4—141no—
1591C2×C4—141no—
1592C2×C4—141no—
1593C2×C4—141no—
1594C2×C4—284no—
1595C2×C4—284no—
1596C2×C4—284no—
1597C2×C4—284no—
1598C2×C4—284no—
1599C2×C4—284no—
1600C2×C4—284no—
1601C2×C4C2×#115712yes—
1602C2×C4C2×#115712yes—
1603C2×C4C2×D4×D712yes—
1604C2×C4C2×D4×D712yes—
1605C2×C4#654812yes—
1606C2×C4D7×#4112yes—
1607C2×C4D7×#4112yes—
1608C2×C4D7×#4112yes—
1609C7#3488911yescharacteristic, complemented, Sylow
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—142no—
1632C22—142no—
1633C22—142no—
1634C22—142no—
1635C22—142no—
1636C22—142no—
1637C22—281no—
1638C22—281no—
1639C22—281no—
1640C22—281no—
1641C22—281no—
1642C22—281no—
1643C22—281no—
1644C22—281no—
1645C22—281no—
1646C22—281no—
1647C22—281no—
1648C22—281no—
1649C22—281no—
1650C22—281no—
1651C22—281no—
1652C22C22×#115711yescharacteristic
1653C22C22×D4×D711yescharacteristic
1654C22C2×#654811yescharacteristic
1655C22C2×D7×#4111yescharacteristic
1656C22C2×D7×#4111yescharacteristic
1657C22C2×D7×#4111yescharacteristic
1658C22#9061611yescharacteristic
1659C4—22no—
1660C4—22no—
1661C4—22no—
1662C4—22no—
1663C4—22no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—74no—
1671C4—142no—
1672C4—142no—
1673C4—142no—
1674C4—142no—
1675C4—142no—
1676C4—281no—
1677C4—281no—
1678C4—281no—
1679C4—281no—
1680C4—281no—
1681C4—281no—
1682C4—281no—
1683C4#9030114yes—
1684C2—42no—
1685C2—42no—
1686C2—81no—
1687C2—282no—
1688C2—282no—
1689C2—561no—
1690C2D4×#115711yescharacteristic
1691C2#1174285311yescharacteristic
1692C2#1174290411yescharacteristic
1693C2C2×#9030111yescharacteristic
1694C2#1174308811yescharacteristic
1695C2#1174322011yescharacteristic
1696C2D7×#53211yescharacteristic
subgroupG/H
centerC22×C4C23×D7
commutator, socle, cosocleC23×C7C25
FrattiniC23C24×D7
FittingC4×C7×#121C2
hypercenterC4×#121D7
hypocenterC7#34889
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C22×C4 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C2×#90239C2semidirect
2. C2×#90229C2semidirect
3. C4×C7×#121C2semidirect
4. #11740103C2semidirect
5. #11740095C2semidirect
6. #11739845C2semidirect
7. #11739845C2semidirect
8. #11739791C2semidirect
9. C4×#6502C2semidirect
10. #11739515C2semidirect
11. C42×C22⋊D7C2semidirect
12. #11733802C2semidirect
13. #11733792C2semidirect
14. #11733515C2semidirect
15. #11733508C2semidirect
16. #11733321C2semidirect
17. #11733303C2semidirect
18. #11732992C2semidirect
19. #11732990C2semidirect
20. #11732206C2semidirect
21. #11732203C2semidirect
22. #11732198C2semidirect
23. #11732196C2semidirect
24. #11731374C2semidirect
25. #11731340C2semidirect
26. #11731222C2semidirect
27. C4×#6459C2semidirect
28. C4×#6447C2semidirect
29. #11731008C2semidirect
30. C4×#6448C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
278. C4×C22⋊D7D4semidirect
418. C4×#121D7semidirect
566. C7×C22⋊C4#41semidirect
627. Dic7⋊C4#41semidirect
642. C4×Dic7#41semidirect
1424. C22⋊C4#1157semidirect
1609. C7#34889semidirect

Maximal subgroups

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

subgroupindex
C2×#902392
C2×#902292
C4×C7×#1212
#117401032
#117400952
#117398452
#117397912
C4×#65022
#117395152
C42×C22⋊D72
#117338022
#117337922
#117335152
#117335082
#117333212
#117333032
#117329922
#117329902
#117322062
#117322032
#117321982
#117321962
#117313742
#117313402
#117312222
C4×#64592
C4×#64472
#117310082
C4×#64482
C4×(C22⋊D7)⋊C42
#348897