Finite Group Databasebeta

← #13526808

Subgroups — #13526808

Order 1792.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90251C211yesmaximal, characteristic, complemented
2C2×#90255C211yesmaximal, characteristic, complemented
3C4×C7×#121C211yesmaximal, characteristic, complemented
4#11740153C211yesmaximal, characteristic, complemented
5#11740116C211yesmaximal, characteristic, complemented
6#11739858C211yesmaximal, characteristic, complemented
7#11739840C211yesmaximal, characteristic, complemented
8#11739812C211yesmaximal, characteristic, complemented
9#11739771C211yesmaximal, characteristic, complemented
10C2×#89712C211yesmaximal, characteristic, complemented
11C42×C22⋊D7C211yesmaximal, characteristic, complemented
12#11733905C211yesmaximal, characteristic, complemented
13#11733822C211yesmaximal, characteristic, complemented
14#11733700C211yesmaximal, characteristic, complemented
15#11733553C211yesmaximal, characteristic, complemented
16#11733405C211yesmaximal, characteristic, complemented
17#11733402C211yesmaximal, characteristic, complemented
18#11733266C211yesmaximal, characteristic, complemented
19#11733265C211yesmaximal, characteristic, complemented
20#11732338C211yesmaximal, characteristic, complemented
21#11732184C211yesmaximal, characteristic, complemented
22#11732172C211yesmaximal, characteristic, complemented
23#11732141C211yesmaximal, characteristic, complemented
24#11731474C211yesmaximal, characteristic, complemented
25#11731383C211yesmaximal, characteristic, complemented
26#11731241C211yesmaximal, characteristic, complemented
27#11731144C211yesmaximal, characteristic, complemented
28#11731048C211yesmaximal, characteristic, complemented
29#11731046C211yesmaximal, characteristic, complemented
30#11730983C211yesmaximal, characteristic, complemented
31#11730982C211yesmaximal, characteristic, complemented
32C2×C7×#121C2211yescharacteristic
33C2×C4×C7×D4C2211yescharacteristic
34C2×C4×C7×D4C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic, complemented
36C22×C42×C7C2211yescharacteristic
37C2×#6502C2211yescharacteristic
38C2×#6502C2211yescharacteristic
39C2×#6500C2211yescharacteristic
40C2×#6500C2211yescharacteristic
41C2×#6498C2211yescharacteristic
42C2×#6498C2211yescharacteristic
43C2×#6493C2211yescharacteristic
44C2×#6492C2211yescharacteristic
45C2×#6492C2211yescharacteristic, complemented
46C2×C4×C22⋊D7C2211yescharacteristic
47C2×C4×C22⋊D7C2211yescharacteristic
48C2×C4×C22⋊D7C2211yescharacteristic
49C22×(C2×D7)⋊C4C2211yescharacteristic
50C22×(C2×D7)⋊C4C2211yescharacteristic
51C22×(C2×D7)⋊C4C2211yescharacteristic
52C2×#6487C2211yescharacteristic, complemented
53C22×Dic7⋊C4C2211yescharacteristic
54#90255—28no—
55#90251—28no—
56C2×#6461C2211yescharacteristic
57C2×#6459C2211yescharacteristic, complemented
58C2×#6457C2211yescharacteristic
59C2×#6452C2211yescharacteristic, complemented
60C2×#6449C2211yescharacteristic
61C2×#6448C2211yescharacteristic
62C2×#6448C2211yescharacteristic
63C2×#6447C2211yescharacteristic
64C2×#6447C2211yescharacteristic
65C2×#6446C2211yescharacteristic, complemented
66C2×#6445C2211yescharacteristic
67C2×#6442C2211yescharacteristic, complemented
68C2×#6441C2211yescharacteristic
69C2×#6441C2211yescharacteristic
70C2×#6439C2211yescharacteristic
71C2×#6439C2211yescharacteristic, complemented
72C2×#6438C2211yescharacteristic
73C2×C42×D7C2211yescharacteristic, complemented
74C2×#6433C2211yescharacteristic, complemented
75C7×#390C2211yescharacteristic, complemented
76C7×#389C2211yescharacteristic, complemented
77C7×#388C2211yescharacteristic, complemented
78C7×#388C2211yescharacteristic, complemented
79C7×#386C2211yescharacteristic
80C7×#386C2211yescharacteristic
81C7×#380C2211yescharacteristic
82C4×C7×C4⋊C4C2211yescharacteristic, complemented
83C4×C7×C22⋊C4C2211yescharacteristic, complemented
84C4×C7×C22⋊C4C2211yescharacteristic, complemented
85#89995C2211yescharacteristic
86#89995C2211yescharacteristic
87#89995C2211yescharacteristic, complemented
88#89994C2211yescharacteristic, complemented
89#89992C2211yescharacteristic
90#89992C2211yescharacteristic
91#89985C2211yescharacteristic
92#89985C2211yescharacteristic
93#89982C2211yescharacteristic, complemented
94#89982C2211yescharacteristic, complemented
95C4×C22⋊Dic7C2211yescharacteristic
96C4×C22⋊Dic7C2211yescharacteristic
97C4×C22⋊Dic7C2211yescharacteristic
98C2×C7⋊#95C2211yescharacteristic
99C2×C7⋊#95C2211yescharacteristic
100#89766C2211yescharacteristic
101#89766C2211yescharacteristic
102#89765C2211yescharacteristic, complemented
103#89764C2211yescharacteristic
104#89764C2211yescharacteristic
105#89763C2211yescharacteristic
106#89763C2211yescharacteristic
107#89762C2211yescharacteristic
108#89762C2211yescharacteristic
109#89756C2211yescharacteristic, complemented
110#89756C2211yescharacteristic, complemented
111#89752C2211yescharacteristic, complemented
112#89751C2211yescharacteristic, complemented
113#89751C2211yescharacteristic, complemented
114#89744C2211yescharacteristic, complemented
115#89744C2211yescharacteristic, complemented
116#89733C2211yescharacteristic
117#89732C2211yescharacteristic
118#89731C2211yescharacteristic
119#89731C2211yescharacteristic
120#89731C2211yescharacteristic, complemented
121#89729C2211yescharacteristic
122#89729C2211yescharacteristic
123#89729C2211yescharacteristic
124#89729C2211yescharacteristic
125#89729C2211yescharacteristic
126#89729C2211yescharacteristic
127#89729C2211yescharacteristic
128#89729C2211yescharacteristic
129#89728C2211yescharacteristic, complemented
130#89728C2211yescharacteristic, complemented
131#89728C2211yescharacteristic, complemented
132#89727C2211yescharacteristic
133#89724C2211yescharacteristic, complemented
134#89723C2211yescharacteristic, complemented
135#89723C2211yescharacteristic, complemented
136#89720C2211yescharacteristic, complemented
137#89719C2211yescharacteristic, complemented
138#89718C2211yescharacteristic
139#89718C2211yescharacteristic
140#89717C2211yescharacteristic, complemented
141#89717C2211yescharacteristic, complemented
142#89716C2211yescharacteristic, complemented
143#89716C2211yescharacteristic, complemented
144#89716C2211yescharacteristic, complemented
145#89715C2211yescharacteristic
146#89712C2211yescharacteristic
147#89712C2211yescharacteristic
148#89712C2211yescharacteristic
149#89712C2211yescharacteristic
150#89712C2211yescharacteristic
151#89712C2211yescharacteristic
152#89712C2211yescharacteristic
153#89712C2211yescharacteristic
154#89712C2211yescharacteristic
155#89712C2211yescharacteristic
156C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
159#89705C2211yescharacteristic, complemented
160#89705C2211yescharacteristic, complemented
161C4×Dic7⋊C4C2211yescharacteristic, complemented
162C4×Dic7⋊C4C2211yescharacteristic, complemented
163C4×Dic7⋊C4C2211yescharacteristic, complemented
164C42×Dic7C2211yescharacteristic, complemented
165#89448C2211yescharacteristic
166#89447C2211yescharacteristic
167#89447C2211yescharacteristic, complemented
168#89445C2211yescharacteristic
169#89444C2211yescharacteristic
170#89442C2211yescharacteristic
171#89442C2211yescharacteristic
172#89442C2211yescharacteristic
173#89441C2211yescharacteristic
174#89441C2211yescharacteristic
175#89439C2211yescharacteristic, complemented
176#89437C2211yescharacteristic
177#89437C2211yescharacteristic
178#89437C2211yescharacteristic
179#89432C2211yescharacteristic, complemented
180#89430C2211yescharacteristic, complemented
181#89429C2211yescharacteristic, complemented
182#89422C2211yescharacteristic, complemented
183#89419C2211yescharacteristic, complemented
184#89419C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#35009—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
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
205C22×C22⋊D7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C22×D28C2311yescharacteristic
210C22×D28C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×Dic14C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#121—24no—
217C4×C7×D4—24no—
218C4×C7×D4—24no—
219C4×C7×D4—42no—
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊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×C42×C7—42no—
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C42×C7C2311yescharacteristic
241C2×C42×C7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255#6502—24no—
256#6502—24no—
257#6500—24no—
258#6500—24no—
259#6498—24no—
260#6498—24no—
261#6493—24no—
262#6492—24no—
263#6492—24no—
264C4×C22⋊D7—24no—
265C4×C22⋊D7—24no—
266C4×C22⋊D7D418yescomplemented
267C2×(C2×D7)⋊C4—24no—
268C2×(C2×D7)⋊C4—24no—
269C2×(C2×D7)⋊C4—42no—
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303#6487—24no—
304C2×Dic7⋊C4—24no—
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×Dic7⋊C4C2311yescharacteristic
322C2×Dic7⋊C4C2311yescharacteristic
323C2×Dic7⋊C4C2311yescharacteristic
324C2×Dic7⋊C4C2311yescharacteristic
325C2×Dic7⋊C4C2311yescharacteristic
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
335#6461—24no—
336#6459—24no—
337#6457—24no—
338#6452—24no—
339#6449—24no—
340#6448—24no—
341#6448—42no—
342#6447—24no—
343#6447—42no—
344#6446—24no—
345#6445—24no—
346#6442—24no—
347#6441—24no—
348#6441—24no—
349#6439—24no—
350#6439—24no—
351#6438—24no—
352C42×D7—42no—
353#6433—24no—
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
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C2×#539—71no—
387C2×#538—71no—
388#2861—71no—
389#2860—71no—
390#2854—71no—
391#2850—71no—
392#2664—71no—
393#2663—71no—
394#2662—71no—
395#2661—71no—
396#2560—71no—
397#2559—71no—
398#2558—71no—
399#2557—71no—
400#2549—71no—
401#2543—71no—
402#2539—71no—
403#2534—71no—
404#2521—71no—
405#2519—71no—
406#2488—71no—
407#2472—71no—
408#2464—71no—
409#2461—71no—
410#2425—71no—
411#2424—71no—
412#2322—71no—
413#2321—71no—
414C4×#121D711yescharacteristic, complemented
415C2×#388—71no—
416C42×D4—71no—
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C24×C7C2411yescharacteristic
420C23×D7—22no—
421C23×D7—22no—
422C23×D7—22no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7—41no—
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C23×D7C2411yescharacteristic
430C2×C7×D4—22no—
431C2×C7×D4—22no—
432C2×C7×D4—22no—
433C2×C7×D4—22no—
434C2×C7×D4—22no—
435C2×C7×D4—22no—
436C2×C7×D4—22no—
437C2×C7×D4—41no—
438C2×C7×D4—41no—
439C22×C4×C7—22no—
440C22×C4×C7—22no—
441C22×C4×C7—22no—
442C22×C4×C7—22no—
443C22×C4×C7—41no—
444C22×C4×C7—41no—
445C22×C4×C7—41no—
446C22×C4×C7—41no—
447C22×C4×C7—41no—
448C22×C4×C7—41no—
449C22×C4×C7—41no—
450C22×C4×C7—41no—
451C22×C4×C7—41no—
452C22×C4×C7C2×D414yes—
453C22×C4×C7#4114yes—
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
465C22×C4×C7C2411yescharacteristic
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—41no—
475C2×C22⋊D7—41no—
476C2×C22⋊D7—41no—
477C2×C22⋊D7—41no—
478C2×C22⋊D7—41no—
479C2×C22⋊D7—41no—
480C2×C22⋊D7—41no—
481C2×C22⋊D7—41no—
482C2×C22⋊D7—41no—
483C2×C22⋊D7—41no—
484C2×C22⋊D7—41no—
485C2×C22⋊D7—41no—
486C2×C22⋊D7C2×D414yes—
487C22×Dic7—22no—
488C22×Dic7—22no—
489C22×Dic7—22no—
490C22×Dic7—22no—
491C22×Dic7—22no—
492C22×Dic7—41no—
493C22×Dic7—41no—
494C22×Dic7—41no—
495C22×Dic7—41no—
496C22×Dic7C2411yescharacteristic
497C22×Dic7C2411yescharacteristic
498C22×Dic7C2411yescharacteristic
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C22×Dic7C2411yescharacteristic
508C22×Dic7C2411yescharacteristic
509C2×D28—22no—
510C2×D28—22no—
511C2×D28—41no—
512C2×D28—41no—
513C2×D28—41no—
514C2×D28—41no—
515C2×C4×D7—22no—
516C2×C4×D7—22no—
517C2×C4×D7—22no—
518C2×C4×D7—41no—
519C2×C4×D7—41no—
520C2×C4×D7—41no—
521C2×C4×D7—41no—
522C2×C4×D7—41no—
523C2×C4×D7C2×D414yes—
524C2×Dic14—22no—
525C2×Dic14—22no—
526C2×Dic14—41no—
527C2×Dic14—41no—
528C2×Dic14—41no—
529C2×Dic14—41no—
530C7×C4⋊C4—22no—
531C7×C4⋊C4—22no—
532C7×C4⋊C4—22no—
533C7×C4⋊C4—41no—
534C7×C4⋊C4—41no—
535C7×C22⋊C4—22no—
536C7×C22⋊C4—22no—
537C7×C22⋊C4—22no—
538C7×C22⋊C4—22no—
539C7×C22⋊C4—22no—
540C7×C22⋊C4—22no—
541C7×C22⋊C4—22no—
542C7×C22⋊C4—22no—
543C7×C22⋊C4—41no—
544C7×C22⋊C4—41no—
545C42×C7—22no—
546C42×C7—22no—
547C42×C7—22no—
548C42×C7—22no—
549C42×C7—41no—
550C42×C7—41no—
551C22⋊Dic7—22no—
552C22⋊Dic7—22no—
553C22⋊Dic7—22no—
554C22⋊Dic7—22no—
555C22⋊Dic7—22no—
556C22⋊Dic7—22no—
557C22⋊Dic7—22no—
558C22⋊Dic7—41no—
559C22⋊Dic7—41no—
560C22⋊Dic7—41no—
561C22⋊Dic7—41no—
562C22⋊Dic7C2×D414yes—
563C22⋊Dic7#4114yes—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—22no—
566(C2×D7)⋊C4—22no—
567(C2×D7)⋊C4—22no—
568(C2×D7)⋊C4—22no—
569(C2×D7)⋊C4—22no—
570(C2×D7)⋊C4—22no—
571(C2×D7)⋊C4—22no—
572(C2×D7)⋊C4—22no—
573(C2×D7)⋊C4—22no—
574(C2×D7)⋊C4—22no—
575(C2×D7)⋊C4—22no—
576(C2×D7)⋊C4—22no—
577(C2×D7)⋊C4—22no—
578(C2×D7)⋊C4—22no—
579(C2×D7)⋊C4—22no—
580(C2×D7)⋊C4—22no—
581(C2×D7)⋊C4—22no—
582(C2×D7)⋊C4—22no—
583(C2×D7)⋊C4—22no—
584(C2×D7)⋊C4—22no—
585(C2×D7)⋊C4—22no—
586(C2×D7)⋊C4—41no—
587(C2×D7)⋊C4—41no—
588(C2×D7)⋊C4—41no—
589(C2×D7)⋊C4—41no—
590(C2×D7)⋊C4—41no—
591(C2×D7)⋊C4—41no—
592(C2×D7)⋊C4C2×D414yes—
593C4⋊Dic7—22no—
594C4⋊Dic7—22no—
595C4⋊Dic7—22no—
596C4⋊Dic7—22no—
597Dic7⋊C4—22no—
598Dic7⋊C4—22no—
599Dic7⋊C4—22no—
600Dic7⋊C4—22no—
601Dic7⋊C4—22no—
602Dic7⋊C4—22no—
603Dic7⋊C4—22no—
604Dic7⋊C4—22no—
605Dic7⋊C4—22no—
606Dic7⋊C4—22no—
607Dic7⋊C4—22no—
608Dic7⋊C4—22no—
609Dic7⋊C4—22no—
610Dic7⋊C4—22no—
611Dic7⋊C4—22no—
612Dic7⋊C4—22no—
613Dic7⋊C4—41no—
614Dic7⋊C4—41no—
615Dic7⋊C4—41no—
616Dic7⋊C4—41no—
617Dic7⋊C4C2×D414yes—
618C4×Dic7—22no—
619C4×Dic7—22no—
620C4×Dic7—22no—
621C4×Dic7—41no—
622C4×Dic7—41no—
623C4×Dic7—41no—
624C4×Dic7—41no—
625C4×Dic7—41no—
626C4×Dic7C2×D414yes—
627#539—148no—
628#538—148no—
629C2×#126—71no—
630C2×#126—71no—
631C2×#126—71no—
632C2×#126—71no—
633C2×#125—71no—
634C2×#125—71no—
635C2×#124—71no—
636C2×#124—71no—
637C2×#124—71no—
638C2×#123—71no—
639C2×#123—71no—
640C2×#123—71no—
641C2×#123—71no—
642C2×#123—71no—
643C2×#123—71no—
644C2×#123—71no—
645C2×C22⋊Q8—71no—
646C2×C22⋊Q8—71no—
647C2×C22⋊Q8—71no—
648C2×C22⋊Q8—71no—
649C2×#121—71no—
650C2×#121—71no—
651C2×#121—71no—
652C2×#121—71no—
653C2×#121—71no—
654C2×#121C2×D711yescharacteristic
655C2×#120—71no—
656C2×#120—71no—
657C2×#120—71no—
658C2×C4×D4—71no—
659C2×C4×D4—71no—
660C2×C4×D4—71no—
661C2×C4×D4C2×D711yescharacteristic
662C2×C4×D4C2×D711yescharacteristic
663C2×C4×D4C2×D711yescharacteristic, complemented
664C22×C4⋊C4—71no—
665C22×C22⋊C4—71no—
666C22×C22⋊C4—71no—
667C22×C22⋊C4—71no—
668C22×C42—71no—
669C22×C42C2×D711yescharacteristic
670#400—71no—
671#400—71no—
672#399—71no—
673#399—71no—
674#398—71no—
675#398—71no—
676#398—71no—
677#398—71no—
678#397—71no—
679#397—71no—
680#397—71no—
681#397—71no—
682#396—71no—
683#396—71no—
684#396—71no—
685#396—71no—
686#395—71no—
687#395—71no—
688#394—71no—
689#394—71no—
690#394—71no—
691#394—71no—
692#394—71no—
693#394—71no—
694#394—71no—
695#394—71no—
696#393—71no—
697#393—71no—
698#392—71no—
699#392—71no—
700#392—71no—
701#392—71no—
702#391—71no—
703#391—71no—
704#391—71no—
705#390—71no—
706#390—71no—
707#390—71no—
708#390—71no—
709#390—71no—
710#390—71no—
711#390—71no—
712#390—71no—
713#390C2×D711yescharacteristic, complemented
714#389—71no—
715#389—71no—
716#389—71no—
717#389—71no—
718#389—71no—
719#389C2×D711yescharacteristic, complemented
720#388—71no—
721#388—71no—
722#388—71no—
723#388—71no—
724#388—71no—
725#388—71no—
726#388—71no—
727#388—71no—
728#388—71no—
729#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#388—71no—
739#388—71no—
740#388—71no—
741#388—71no—
742#388—71no—
743#388—71no—
744#388C2×D711yescharacteristic, complemented
745#388C2×D711yescharacteristic, complemented
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#386C2×D711yescharacteristic
759#386C2×D711yescharacteristic
760#385—71no—
761#385—71no—
762#385—71no—
763#385—71no—
764#382—71no—
765#381—71no—
766#380—71no—
767#380C2×D711yescharacteristic
768#379—71no—
769C4×C4⋊C4—71no—
770C4×C4⋊C4—71no—
771C4×C4⋊C4—71no—
772C4×C4⋊C4C2×D711yescharacteristic, complemented
773C4×C22⋊C4—71no—
774C4×C22⋊C4—71no—
775C4×C22⋊C4—71no—
776C4×C22⋊C4—71no—
777C4×C22⋊C4—71no—
778C4×C22⋊C4—71no—
779C4×C22⋊C4C2×D711yescharacteristic, complemented
780C4×C22⋊C4C2×D711yescharacteristic, complemented
781C2×#95—71no—
782C2×#95—71no—
783C43—71no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—21no—
790C23×C7—21no—
791C23×C7—21no—
792C23×C7—21no—
793C23×C7—21no—
794C23×C7—21no—
795C23×C7—21no—
796C23×C7—21no—
797C23×C7—21no—
798C23×C7—21no—
799C23×C7—21no—
800C23×C7—21no—
801C23×C7—21no—
802C23×C7C22×D412yes—
803C23×C7C2×#4112yes—
804C23×C7C2×#4112yes—
805C23×C7C2511yescharacteristic
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7—21no—
820C22×D7—21no—
821C22×D7—21no—
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—21no—
825C22×D7—21no—
826C22×D7—44no—
827C22×D7—44no—
828C22×D7—44no—
829C22×D7—82no—
830C22×D7—82no—
831C22×D7—82no—
832C22×D7—82no—
833C22×D7C22×D412yes—
834C7×D4—44no—
835C7×D4—44no—
836C7×D4—44no—
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—21no—
844C2×C4×C7—21no—
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—44no—
869C2×C4×C7—44no—
870C2×C4×C7—44no—
871C2×C4×C7—82no—
872C2×C4×C7—82no—
873C2×C4×C7C22×D412yes—
874C2×C4×C7C22×D412yes—
875C2×C4×C7C2×#4112yes—
876C2×C4×C7C2×#4112yes—
877C2×C4×C7H(5,𝔽2)12yes—
878C22⋊D7—28no—
879C22⋊D7—82no—
880C22⋊D7—82no—
881C22⋊D7—82no—
882C22⋊D7—82no—
883C22⋊D7—82no—
884C22⋊D7—82no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
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—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—44no—
920C2×Dic7—82no—
921C2×Dic7—82no—
922C2×Dic7C22×D412yes—
923C2×Dic7C22×D412yes—
924C2×Dic7C22×D412yes—
925C2×Dic7C2×#4112yes—
926C2×Dic7C2×#4112yes—
927D28—82no—
928D28—82no—
929C4×D7—44no—
930C4×D7—44no—
931C4×D7—44no—
932Dic14—82no—
933Dic14—82no—
934C25—71no—
935C22×Q8—71no—
936C22×Q8—71no—
937C22×D4—71no—
938C22×D4—71no—
939C22×D4—71no—
940C22×D4—71no—
941C22×D4—71no—
942C22×D4—71no—
943C22×D4—71no—
944C22×D4—71no—
945C22×D4—71no—
946C22×D4C22×D711yescharacteristic
947C22×D4C22×D711yescharacteristic
948C22×D4C22×D711yescharacteristic
949C23×C4—71no—
950C23×C4—71no—
951C23×C4—71no—
952C23×C4—71no—
953C23×C4—71no—
954C23×C4—71no—
955C23×C4C22×D711yescharacteristic
956C23×C4C22×D711yescharacteristic
957C23×C4C22×D711yescharacteristic
958C23×C4C22×D711yescharacteristic
959C23×C4C22×D711yescharacteristic
960#126—144no—
961#126—144no—
962#126—144no—
963#126—144no—
964#125—144no—
965#125—144no—
966#124—144no—
967#124—144no—
968#124—282no—
969#123—144no—
970#123—144no—
971#123—144no—
972#123—144no—
973#123—144no—
974#123—144no—
975#123—144no—
976C22⋊Q8—144no—
977C22⋊Q8—144no—
978C22⋊Q8—144no—
979C22⋊Q8—144no—
980#121—24no—
981#121—144no—
982#121—144no—
983#121—144no—
984#121—144no—
985#121—282no—
986#120—144no—
987#120—144no—
988#120—144no—
989C4×D4—24no—
990C4×D4—24no—
991C4×D4—42no—
992C4×D4—78no—
993C4×D4—144no—
994C4×D4—144no—
995C2×C4⋊C4—71no—
996C2×C4⋊C4—71no—
997C2×C4⋊C4—71no—
998C2×C4⋊C4—71no—
999C2×C4⋊C4—71no—
1000C2×C4⋊C4—71no—
1001C2×C4⋊C4—71no—
1002C2×C4⋊C4—71no—
1003C2×C4⋊C4—71no—
1004C2×C4⋊C4—71no—
1005C2×C4⋊C4—71no—
1006C2×C4⋊C4—71no—
1007C2×C4⋊C4—71no—
1008C2×C4⋊C4—71no—
1009C2×C4⋊C4—71no—
1010C2×C4⋊C4—71no—
1011C2×C4⋊C4—71no—
1012C2×C4⋊C4—71no—
1013C2×C4⋊C4—71no—
1014C2×C4⋊C4—71no—
1015C2×C4⋊C4—71no—
1016C2×C4⋊C4—71no—
1017C2×C4⋊C4—71no—
1018C2×C4⋊C4—71no—
1019C2×C4⋊C4—71no—
1020C2×C4⋊C4—144no—
1021C2×C4⋊C4C22×D711yescharacteristic
1022C2×C4⋊C4C22×D711yescharacteristic
1023C2×C4⋊C4C22×D711yescharacteristic
1024C2×C4⋊C4C22×D711yescharacteristic
1025C2×C4⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—71no—
1032C2×C22⋊C4—71no—
1033C2×C22⋊C4—71no—
1034C2×C22⋊C4—71no—
1035C2×C22⋊C4—71no—
1036C2×C22⋊C4—71no—
1037C2×C22⋊C4—71no—
1038C2×C22⋊C4—71no—
1039C2×C22⋊C4—71no—
1040C2×C22⋊C4—71no—
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—71no—
1048C2×C22⋊C4—71no—
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—144no—
1069C2×C22⋊C4—144no—
1070C2×C22⋊C4—282no—
1071C2×C22⋊C4C22×D711yescharacteristic
1072C2×C22⋊C4C22×D711yescharacteristic
1073C2×C22⋊C4C22×D711yescharacteristic
1074C2×C22⋊C4C22×D711yescharacteristic
1075C2×C22⋊C4C22×D711yescharacteristic
1076C2×C22⋊C4C22×D711yescharacteristic
1077C2×C22⋊C4C22×D711yescharacteristic
1078C2×C22⋊C4C22×D711yescharacteristic
1079C2×C22⋊C4C22×D711yescharacteristic
1080C2×C22⋊C4C22×D711yescharacteristic
1081C2×C42—42no—
1082C2×C42—71no—
1083C2×C42—71no—
1084C2×C42—71no—
1085C2×C42—71no—
1086C2×C42—71no—
1087C2×C42—71no—
1088C2×C42—71no—
1089C2×C42—71no—
1090C2×C42—71no—
1091C2×C42—282no—
1092C2×C42C22×D711yescharacteristic
1093C2×C42C22×D711yescharacteristic
1094C2×C42C22×D711yescharacteristic
1095C2×C42C22×D711yescharacteristic
1096C2×C42C22×D711yescharacteristic
1097C2×C42C22×D711yescharacteristic
1098#95—71no—
1099#95—71no—
1100#95—71no—
1101#95—71no—
1102#95—71no—
1103#95—71no—
1104#95—71no—
1105#95—71no—
1106#95—71no—
1107#95—71no—
1108#95—71no—
1109#95—71no—
1110#95—71no—
1111#95—71no—
1112#95—71no—
1113#95—71no—
1114#95—71no—
1115#95—71no—
1116#95—71no—
1117#95—71no—
1118#95—71no—
1119#95—71no—
1120#95—71no—
1121#95—71no—
1122#95—71no—
1123#95—71no—
1124#95C22×D711yescharacteristic
1125#95C22×D711yescharacteristic
1126#95C22×D711yescharacteristic
1127#95C22×D711yescharacteristic
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130C22×C7—22no—
1131C22×C7—22no—
1132C22×C7—22no—
1133C22×C7—22no—
1134C22×C7—22no—
1135C22×C7—22no—
1136C22×C7—41no—
1137C22×C7—41no—
1138C22×C7—41no—
1139C22×C7—41no—
1140C22×C7—41no—
1141C22×C7—41no—
1142C22×C7—41no—
1143C22×C7—41no—
1144C22×C7—41no—
1145C22×C7—41no—
1146C22×C7—41no—
1147C22×C7—41no—
1148C22×C7—41no—
1149C22×C7—41no—
1150C22×C7#53214yes—
1151C22×C7C23×D411yescharacteristic
1152C22×C7C22×#4111yescharacteristic
1153C22×C7C22×#4111yescharacteristic
1154C22×C7C2×H(5,𝔽2)11yescharacteristic
1155C22×C7#58511yescharacteristic
1156C22×C7#58511yescharacteristic
1157C22×C7#58511yescharacteristic
1158C2×D7—22no—
1159C2×D7—22no—
1160C2×D7—22no—
1161C2×D7—41no—
1162C2×D7—41no—
1163C2×D7—41no—
1164C2×D7—41no—
1165C2×D7—41no—
1166C2×D7—41no—
1167C2×D7—41no—
1168C2×D7—41no—
1169C2×D7—41no—
1170C2×D7—41no—
1171C2×D7—41no—
1172C2×D7—41no—
1173C2×D7—41no—
1174C2×D7—41no—
1175C2×D7—41no—
1176C2×D7—41no—
1177C2×D7—41no—
1178C2×D7—41no—
1179C2×D7—88no—
1180C4×C7—22no—
1181C4×C7—22no—
1182C4×C7—22no—
1183C4×C7—22no—
1184C4×C7—22no—
1185C4×C7—41no—
1186C4×C7—41no—
1187C4×C7—41no—
1188C4×C7—41no—
1189C4×C7—41no—
1190C4×C7—41no—
1191C4×C7—41no—
1192Dic7—22no—
1193Dic7—22no—
1194Dic7—22no—
1195Dic7—22no—
1196Dic7—22no—
1197Dic7—41no—
1198Dic7—41no—
1199Dic7—41no—
1200Dic7—41no—
1201Dic7—41no—
1202Dic7—41no—
1203Dic7—41no—
1204Dic7—41no—
1205C24—71no—
1206C24—71no—
1207C24—71no—
1208C24—142no—
1209C24—142no—
1210C24—142no—
1211C24—281no—
1212C24—281no—
1213C24—281no—
1214C24—281no—
1215C24C23×D711yescharacteristic
1216C24C23×D711yescharacteristic
1217C24C23×D711yescharacteristic
1218C2×Q8—142no—
1219C2×Q8—142no—
1220C2×Q8—281no—
1221C2×Q8—281no—
1222C2×Q8—281no—
1223C2×Q8—281no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—74no—
1234C2×D4—142no—
1235C2×D4—142no—
1236C2×D4—142no—
1237C2×D4—142no—
1238C2×D4—142no—
1239C2×D4—142no—
1240C2×D4—142no—
1241C2×D4—142no—
1242C2×D4—142no—
1243C2×D4—142no—
1244C2×D4—281no—
1245C2×D4—281no—
1246C2×D4—281no—
1247C2×D4—281no—
1248C2×D4—281no—
1249C2×D4—281no—
1250C2×D4—281no—
1251C2×D4—281no—
1252C2×D4—281no—
1253C2×D4—281no—
1254C2×D4—281no—
1255C2×D4—281no—
1256C2×D4—281no—
1257C2×D4—281no—
1258C2×D4—281no—
1259C2×D4—281no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—71no—
1274C22×C4—71no—
1275C22×C4—71no—
1276C22×C4—71no—
1277C22×C4—71no—
1278C22×C4—74no—
1279C22×C4—71no—
1280C22×C4—71no—
1281C22×C4—71no—
1282C22×C4—71no—
1283C22×C4—71no—
1284C22×C4—71no—
1285C22×C4—71no—
1286C22×C4—71no—
1287C22×C4—142no—
1288C22×C4—142no—
1289C22×C4—142no—
1290C22×C4—142no—
1291C22×C4—142no—
1292C22×C4—142no—
1293C22×C4—142no—
1294C22×C4—142no—
1295C22×C4—281no—
1296C22×C4—281no—
1297C22×C4—281no—
1298C22×C4—281no—
1299C22×C4—281no—
1300C22×C4—281no—
1301C22×C4—281no—
1302C22×C4—281no—
1303C22×C4—281no—
1304C22×C4#115714yes—
1305C22×C4D4×D714yes—
1306C22×C4C23×D711yescharacteristic
1307C22×C4C23×D711yescharacteristic
1308C22×C4C23×D711yescharacteristic
1309C22×C4C23×D711yescharacteristic
1310C22×C4C23×D711yescharacteristic
1311C22×C4C23×D711yescharacteristic
1312C22×C4C23×D711yescharacteristic
1313C22×C4C23×D711yescharacteristic
1314C22×C4C23×D711yescharacteristic
1315C22×C4C23×D711yescharacteristic
1316C22×C4C23×D711yescharacteristic
1317C22×C4C23×D711yescharacteristic
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—74no—
1324C4⋊C4—142no—
1325C4⋊C4—142no—
1326C4⋊C4—142no—
1327C4⋊C4—142no—
1328C4⋊C4—142no—
1329C4⋊C4—142no—
1330C4⋊C4—142no—
1331C4⋊C4—142no—
1332C4⋊C4—142no—
1333C4⋊C4—142no—
1334C4⋊C4—142no—
1335C4⋊C4—142no—
1336C4⋊C4—142no—
1337C4⋊C4—142no—
1338C4⋊C4—142no—
1339C4⋊C4—142no—
1340C4⋊C4—142no—
1341C4⋊C4—142no—
1342C4⋊C4—142no—
1343C4⋊C4—142no—
1344C4⋊C4—281no—
1345C4⋊C4—281no—
1346C4⋊C4—281no—
1347C4⋊C4—281no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—74no—
1359C22⋊C4—74no—
1360C22⋊C4—74no—
1361C22⋊C4—142no—
1362C22⋊C4—142no—
1363C22⋊C4—142no—
1364C22⋊C4—142no—
1365C22⋊C4—142no—
1366C22⋊C4—142no—
1367C22⋊C4—142no—
1368C22⋊C4—142no—
1369C22⋊C4—142no—
1370C22⋊C4—142no—
1371C22⋊C4—142no—
1372C22⋊C4—142no—
1373C22⋊C4—142no—
1374C22⋊C4—142no—
1375C22⋊C4—142no—
1376C22⋊C4—142no—
1377C22⋊C4—142no—
1378C22⋊C4—142no—
1379C22⋊C4—142no—
1380C22⋊C4—142no—
1381C22⋊C4—142no—
1382C22⋊C4—142no—
1383C22⋊C4—142no—
1384C22⋊C4—142no—
1385C22⋊C4—142no—
1386C22⋊C4—142no—
1387C22⋊C4—142no—
1388C22⋊C4—142no—
1389C22⋊C4—142no—
1390C22⋊C4—281no—
1391C22⋊C4—281no—
1392C22⋊C4—281no—
1393C22⋊C4—281no—
1394C22⋊C4—281no—
1395C22⋊C4—281no—
1396C22⋊C4—281no—
1397C22⋊C4—281no—
1398C22⋊C4—281no—
1399C22⋊C4—281no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—41no—
1405C42—41no—
1406C42—74no—
1407C42—142no—
1408C42—142no—
1409C42—142no—
1410C42—281no—
1411C42—281no—
1412C42—281no—
1413C42—281no—
1414C42—281no—
1415C2×C7—24no—
1416C2×C7—81no—
1417C2×C7—81no—
1418C2×C7C2×#53211yescharacteristic
1419C2×C7#345511yescharacteristic
1420C2×C7#345911yescharacteristic
1421C2×C7#349611yescharacteristic
1422C2×C7#350011yescharacteristic
1423C2×C7#351311yescharacteristic
1424C2×C7#352111yescharacteristic
1425D7—42no—
1426D7—81no—
1427D7—81no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—72no—
1447C23—141no—
1448C23—141no—
1449C23—141no—
1450C23—141no—
1451C23—141no—
1452C23—141no—
1453C23—141no—
1454C23—141no—
1455C23—141no—
1456C23—141no—
1457C23—141no—
1458C23—141no—
1459C23—141no—
1460C23—141no—
1461C23—141no—
1462C23—141no—
1463C23—141no—
1464C23—141no—
1465C23—141no—
1466C23—141no—
1467C23—284no—
1468C23—284no—
1469C23—284no—
1470C23—562no—
1471C23—562no—
1472C23—562no—
1473C23—562no—
1474C23C2×#115712yes—
1475C23C2×D4×D712yes—
1476C23D7×#4112yes—
1477C23C24×D711yescharacteristic
1478Q8—562no—
1479Q8—562no—
1480D4—44no—
1481D4—44no—
1482D4—44no—
1483D4—148no—
1484D4—562no—
1485D4—562no—
1486D4—562no—
1487D4—562no—
1488D4—562no—
1489D4—562no—
1490D4—562no—
1491D4—562no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
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—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—72no—
1527C2×C4—72no—
1528C2×C4—72no—
1529C2×C4—72no—
1530C2×C4—72no—
1531C2×C4—82no—
1532C2×C4—82no—
1533C2×C4—141no—
1534C2×C4—141no—
1535C2×C4—141no—
1536C2×C4—141no—
1537C2×C4—141no—
1538C2×C4—141no—
1539C2×C4—141no—
1540C2×C4—141no—
1541C2×C4—141no—
1542C2×C4—141no—
1543C2×C4—141no—
1544C2×C4—141no—
1545C2×C4—141no—
1546C2×C4—141no—
1547C2×C4—141no—
1548C2×C4—141no—
1549C2×C4—141no—
1550C2×C4—141no—
1551C2×C4—141no—
1552C2×C4—141no—
1553C2×C4—141no—
1554C2×C4—141no—
1555C2×C4—141no—
1556C2×C4—141no—
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—284no—
1568C2×C4—284no—
1569C2×C4—284no—
1570C2×C4—284no—
1571C2×C4—562no—
1572C2×C4—562no—
1573C2×C4C2×#115712yes—
1574C2×C4C2×#115712yes—
1575C2×C4C2×D4×D712yes—
1576C2×C4C2×D4×D712yes—
1577C2×C4#654812yes—
1578C7#3500911yescharacteristic, complemented, Sylow
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—142no—
1600C22—142no—
1601C22—142no—
1602C22—281no—
1603C22—281no—
1604C22—281no—
1605C22—281no—
1606C22—281no—
1607C22—281no—
1608C22—281no—
1609C22—281no—
1610C22—281no—
1611C22—281no—
1612C22—281no—
1613C22—281no—
1614C22—281no—
1615C22—281no—
1616C22—281no—
1617C22—281no—
1618C22—281no—
1619C22—281no—
1620C22—568no—
1621C22#9023914yes—
1622C22C22×#115711yescharacteristic
1623C22C22×D4×D711yescharacteristic
1624C22C2×#654811yescharacteristic
1625C22C2×D7×#4111yescharacteristic
1626C22#9061611yescharacteristic
1627C22#9061611yescharacteristic
1628C22#9061611yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—142no—
1642C4—142no—
1643C4—142no—
1644C4—142no—
1645C4—142no—
1646C4—281no—
1647C4—281no—
1648C4—281no—
1649C4—281no—
1650C4—281no—
1651C4—281no—
1652C4—281no—
1653C4—281no—
1654C2—24no—
1655C2—81no—
1656C2—81no—
1657C2—282no—
1658C2—561no—
1659C2—561no—
1660C2C2×#9023911yescharacteristic
1661C2#1174284411yescharacteristic
1662C2#1174290511yescharacteristic
1663C2#1174301811yescharacteristic
1664C2#1174311311yescharacteristic
1665C2#1174323611yescharacteristic
1666C2#1174331211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC4×C7×#121C2
hypercenterC4×#121D7
hypocenterC7#35009
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C2×#90251C2semidirect
2. C2×#90255C2semidirect
3. C4×C7×#121C2semidirect
4. #11740153C2semidirect
5. #11740116C2semidirect
6. #11739858C2semidirect
7. #11739840C2semidirect
8. #11739812C2semidirect
9. #11739771C2semidirect
10. C2×#89712C2semidirect
11. C42×C22⋊D7C2semidirect
12. #11733905C2semidirect
13. #11733822C2semidirect
14. #11733700C2semidirect
15. #11733553C2semidirect
16. #11733405C2semidirect
17. #11733402C2semidirect
18. #11733266C2semidirect
19. #11733265C2semidirect
20. #11732338C2semidirect
21. #11732184C2semidirect
22. #11732172C2semidirect
23. #11732141C2semidirect
24. #11731474C2semidirect
25. #11731383C2semidirect
26. #11731241C2semidirect
27. #11731144C2semidirect
28. #11731048C2semidirect
29. #11731046C2semidirect
30. #11730983C2semidirect
31. #11730982C2semidirect
35. C2×C4×C7×D4C22semidirect
45. C2×#6492C22semidirect
52. C2×#6487C22semidirect
57. C2×#6459C22semidirect
59. C2×#6452C22semidirect
65. C2×#6446C22semidirect
67. C2×#6442C22semidirect
71. C2×#6439C22semidirect
73. C2×C42×D7C22semidirect
74. C2×#6433C22semidirect
75. C7×#390C22semidirect
76. C7×#389C22semidirect
77. C7×#388C22semidirect
78. C7×#388C22semidirect
82. C4×C7×C4⋊C4C22semidirect
83. C4×C7×C22⋊C4C22semidirect
84. C4×C7×C22⋊C4C22semidirect
87. #89995C22semidirect
88. #89994C22semidirect
93. #89982C22semidirect
94. #89982C22semidirect
102. #89765C22semidirect
109. #89756C22semidirect
110. #89756C22semidirect
111. #89752C22semidirect
112. #89751C22semidirect
113. #89751C22semidirect
114. #89744C22semidirect
115. #89744C22semidirect
120. #89731C22semidirect
129. #89728C22semidirect
130. #89728C22semidirect
131. #89728C22semidirect
133. #89724C22semidirect
134. #89723C22semidirect
135. #89723C22semidirect
136. #89720C22semidirect
137. #89719C22semidirect
140. #89717C22semidirect
141. #89717C22semidirect
142. #89716C22semidirect
143. #89716C22semidirect
144. #89716C22semidirect
156. C4×(C2×D7)⋊C4C22semidirect
157. C4×(C2×D7)⋊C4C22semidirect
158. C4×(C2×D7)⋊C4C22semidirect
159. #89705C22semidirect
160. #89705C22semidirect
161. C4×Dic7⋊C4C22semidirect
162. C4×Dic7⋊C4C22semidirect
163. C4×Dic7⋊C4C22semidirect
164. C42×Dic7C22semidirect
167. #89447C22semidirect
175. #89439C22semidirect
179. #89432C22semidirect
180. #89430C22semidirect
181. #89429C22semidirect
182. #89422C22semidirect
183. #89419C22semidirect
184. #89419C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
188. #89418C22semidirect
266. C4×C22⋊D7D4semidirect
414. C4×#121D7semidirect
663. C2×C4×D4C2×D7semidirect
713. #390C2×D7semidirect
719. #389C2×D7semidirect
744. #388C2×D7semidirect
745. #388C2×D7semidirect
772. C4×C4⋊C4C2×D7semidirect
779. C4×C22⋊C4C2×D7semidirect
780. C4×C22⋊C4C2×D7semidirect
1578. C7#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#902512
C2×#902552
C4×C7×#1212
#117401532
#117401162
#117398582
#117398402
#117398122
#117397712
C2×#897122
C42×C22⋊D72
#117339052
#117338222
#117337002
#117335532
#117334052
#117334022
#117332662
#117332652
#117323382
#117321842
#117321722
#117321412
#117314742
#117313832
#117312412
#117311442
#117310482
#117310462
#117309832
#117309822
#350097