Finite Group Databasebeta

← #13526814

Subgroups — #13526814

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×#90398C211yesmaximal, characteristic, complemented
2C2×#90395C211yesmaximal, characteristic, complemented
3C7×#2860C211yesmaximal, characteristic, complemented
4#11740558C211yesmaximal, characteristic, complemented
5#11740535C211yesmaximal, characteristic, complemented
6#11733905C211yesmaximal, characteristic, complemented
7#11733899C211yesmaximal, characteristic, complemented
8#11733887C211yesmaximal, characteristic, complemented
9#11733874C211yesmaximal, characteristic, complemented
10#11733802C211yesmaximal, characteristic, complemented
11#11733772C211yesmaximal, characteristic, complemented
12#11733700C211yesmaximal, characteristic, complemented
13#11733689C211yesmaximal, characteristic, complemented
14#11733662C211yesmaximal, characteristic, complemented
15#11733641C211yesmaximal, characteristic, complemented
16#11733515C211yesmaximal, characteristic, complemented
17#11733496C211yesmaximal, characteristic, complemented
18#11733405C211yesmaximal, characteristic, complemented
19#11733402C211yesmaximal, characteristic, complemented
20#11733327C211yesmaximal, characteristic, complemented
21#11733326C211yesmaximal, characteristic, complemented
22#11733321C211yesmaximal, characteristic, complemented
23#11733312C211yesmaximal, characteristic, complemented
24#11733303C211yesmaximal, characteristic, complemented
25D7×#388C211yesmaximal, characteristic, complemented
26#11733047C211yesmaximal, characteristic, complemented
27#11733046C211yesmaximal, characteristic, complemented
28#11732972C211yesmaximal, characteristic, complemented
29#11732897C211yesmaximal, characteristic, complemented
30#11730760C211yesmaximal, characteristic, complemented
31C42×D28C211yesmaximal, characteristic, complemented
32C2×C7×#126C2211yescharacteristic
33C2×C7×#126C2211yescharacteristic, complemented
34C2×#6500C2211yescharacteristic
35#90398—28no—
36#90395—28no—
37C2×#6461C2211yescharacteristic
38C2×#6461C2211yescharacteristic, complemented
39C2×#6460C2211yescharacteristic
40C2×#6459C2211yescharacteristic
41C2×#6459C2211yescharacteristic, complemented
42C2×#6458C2211yescharacteristic
43C2×#6458C2211yescharacteristic
44C2×#6457C2211yescharacteristic
45C2×#6457C2211yescharacteristic
46C2×#6457C2211yescharacteristic
47C2×#6456C2211yescharacteristic
48C2×D7×C4⋊C4C2211yescharacteristic
49C2×#6453C2211yescharacteristic, complemented
50C2×#6449C2211yescharacteristic, complemented
51C2×#6448C2211yescharacteristic
52C2×#6448C2211yescharacteristic
53C2×#6447C2211yescharacteristic
54C2×#6447C2211yescharacteristic
55C2×#6447C2211yescharacteristic
56C2×#6447C2211yescharacteristic
57C2×#6446C2211yescharacteristic
58C2×#6446C2211yescharacteristic
59C2×#6446C2211yescharacteristic, complemented
60C2×#6445C2211yescharacteristic
61C2×#6445C2211yescharacteristic
62C2×(C22⋊D7)⋊C4C2211yescharacteristic
63C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
64C2×D7×C22⋊C4C2211yescharacteristic
65C2×D7×C22⋊C4C2211yescharacteristic
66C2×D7×C22⋊C4C2211yescharacteristic
67C2×#6441C2211yescharacteristic, complemented
68C2×#6438C2211yescharacteristic
69C2×C4×D28C2211yescharacteristic
70C2×C4×D28C2211yescharacteristic
71C2×C4×D28C2211yescharacteristic
72C2×C42×D7C2211yescharacteristic
73C2×C42×D7C2211yescharacteristic, complemented
74C2×#6433C2211yescharacteristic, complemented
75C7×#390C2211yescharacteristic
76C7×#390C2211yescharacteristic
77C7×#390C2211yescharacteristic
78C7×#389C2211yescharacteristic, complemented
79C7×#389C2211yescharacteristic, complemented
80C7×#389C2211yescharacteristic, complemented
81C7×#388C2211yescharacteristic
82C7×#388C2211yescharacteristic
83C7×#388C2211yescharacteristic
84C7×#388C2211yescharacteristic, complemented
85C7×#388C2211yescharacteristic, complemented
86C7×#388C2211yescharacteristic, complemented
87C43×C7C2211yescharacteristic, complemented
88#89995C2211yescharacteristic
89#89995C2211yescharacteristic
90#89992C2211yescharacteristic
91#89766C2211yescharacteristic
92#89766C2211yescharacteristic, complemented
93#89765C2211yescharacteristic, complemented
94#89764C2211yescharacteristic
95#89763C2211yescharacteristic
96#89763C2211yescharacteristic
97#89763C2211yescharacteristic, complemented
98#89762C2211yescharacteristic
99#89762C2211yescharacteristic
100#89762C2211yescharacteristic, complemented
101#89761C2211yescharacteristic
102#89761C2211yescharacteristic
103#89761C2211yescharacteristic, complemented
104#89758C2211yescharacteristic, complemented
105#89756C2211yescharacteristic, complemented
106#89756C2211yescharacteristic, complemented
107#89756C2211yescharacteristic, complemented
108#89755C2211yescharacteristic, complemented
109#89753C2211yescharacteristic, complemented
110#89751C2211yescharacteristic, complemented
111#89751C2211yescharacteristic, complemented
112#89744C2211yescharacteristic, complemented
113#89744C2211yescharacteristic, complemented
114#89733C2211yescharacteristic
115#89733C2211yescharacteristic
116#89733C2211yescharacteristic, complemented
117#89732C2211yescharacteristic
118#89732C2211yescharacteristic, complemented
119#89731C2211yescharacteristic
120#89730C2211yescharacteristic
121#89729C2211yescharacteristic
122#89729C2211yescharacteristic
123#89729C2211yescharacteristic
124#89729C2211yescharacteristic, complemented
125#89728C2211yescharacteristic
126#89728C2211yescharacteristic
127#89728C2211yescharacteristic
128#89728C2211yescharacteristic
129#89728C2211yescharacteristic, complemented
130#89727C2211yescharacteristic
131#89725C2211yescharacteristic
132#89724C2211yescharacteristic, complemented
133#89723C2211yescharacteristic
134#89721C2211yescharacteristic
135#89720C2211yescharacteristic
136#89720C2211yescharacteristic
137#89719C2211yescharacteristic, complemented
138#89717C2211yescharacteristic
139#89717C2211yescharacteristic
140#89717C2211yescharacteristic
141#89716C2211yescharacteristic
142#89716C2211yescharacteristic, complemented
143C22⋊C4×Dic7C2211yescharacteristic, complemented
144#89712C2211yescharacteristic
145#89712C2211yescharacteristic
146#89712C2211yescharacteristic
147#89712C2211yescharacteristic
148#89712C2211yescharacteristic, complemented
149#89712C2211yescharacteristic, complemented
150#89712C2211yescharacteristic, complemented
151#89712C2211yescharacteristic, complemented
152#89711C2211yescharacteristic
153#89711C2211yescharacteristic
154C4×(C2×D7)⋊C4C2211yescharacteristic
155C4×(C2×D7)⋊C4C2211yescharacteristic
156C4×(C2×D7)⋊C4C2211yescharacteristic
157C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
160C4×C4⋊Dic7C2211yescharacteristic, complemented
161C4×C4⋊Dic7C2211yescharacteristic, complemented
162C4×C4⋊Dic7C2211yescharacteristic, complemented
163#89701C2211yescharacteristic, complemented
164#89701C2211yescharacteristic, complemented
165#89447C2211yescharacteristic, complemented
166#89445C2211yescharacteristic
167#89444C2211yescharacteristic
168#89442C2211yescharacteristic
169#89442C2211yescharacteristic
170#89441C2211yescharacteristic
171#89440C2211yescharacteristic, complemented
172#89439C2211yescharacteristic
173#89439C2211yescharacteristic, complemented
174#89438C2211yescharacteristic, complemented
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177#89437C2211yescharacteristic
178#89437C2211yescharacteristic, complemented
179#89437C2211yescharacteristic, complemented
180#89436C2211yescharacteristic
181D7×#95C2211yescharacteristic
182D7×#95C2211yescharacteristic
183#89430C2211yescharacteristic, complemented
184#89424C2211yescharacteristic, complemented
185#89422C2211yescharacteristic, complemented
186#89421C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#35009—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C22×D28C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×C4×D7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×Dic14C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#126—24no—
217C7×#126—24no—
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C42×C7C2311yescharacteristic
241C2×C42×C7C2311yescharacteristic
242C2×C42×C7C2311yescharacteristic
243C2×C42×C7C2311yescharacteristic
244C2×C42×C7C2311yescharacteristic
245C2×C42×C7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254#6500—24no—
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
259C2×(C2×D7)⋊C4C2311yescharacteristic
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
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×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316#6461—24no—
317#6461—24no—
318#6460—24no—
319#6459—24no—
320#6459—24no—
321#6458—24no—
322#6458—24no—
323#6457—24no—
324#6457—24no—
325#6457—24no—
326#6456—24no—
327D7×C4⋊C4—24no—
328#6453—24no—
329#6449—24no—
330#6448—24no—
331#6448—42no—
332#6447—24no—
333#6447—24no—
334#6447—24no—
335#6447—42no—
336#6446—24no—
337#6446—24no—
338#6446—24no—
339#6445—24no—
340#6445—24no—
341(C22⋊D7)⋊C4—24no—
342(C22⋊D7)⋊C4—42no—
343D7×C22⋊C4—24no—
344D7×C22⋊C4—24no—
345D7×C22⋊C4—42no—
346#6441—24no—
347#6438—24no—
348C4×D28—24no—
349C4×D28—24no—
350C4×D28D418yescomplemented
351C42×D7—42no—
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#2860D711yescharacteristic, complemented
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×#121—71no—
415C2×#388—71no—
416C42×D4—71no—
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—22no—
422C23×D7—41no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C23×D7C2411yescharacteristic
430C2×C7×D4—22no—
431C2×C7×D4—41no—
432C2×C7×D4—41no—
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C2×C22⋊D7—22no—
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—22no—
451C2×C22⋊D7—22no—
452C2×C22⋊D7—22no—
453C2×C22⋊D7—22no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C22×Dic7—22no—
465C22×Dic7—41no—
466C22×Dic7—41no—
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C2×D28—22no—
480C2×D28—22no—
481C2×D28—22no—
482C2×D28—22no—
483C2×D28—22no—
484C2×D28—22no—
485C2×D28—22no—
486C2×D28—22no—
487C2×D28—41no—
488C2×D28—41no—
489C2×D28—41no—
490C2×D28—41no—
491C2×D28—41no—
492C2×D28—41no—
493C2×D28C2×D414yes—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—22no—
501C2×C4×D7—22no—
502C2×C4×D7—22no—
503C2×C4×D7—22no—
504C2×C4×D7—22no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7—41no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7—41no—
516C2×C4×D7—41no—
517C2×C4×D7—41no—
518C2×C4×D7—41no—
519C2×C4×D7—41no—
520C2×C4×D7—41no—
521C2×C4×D7C2×D414yes—
522C2×C4×D7C2×D414yes—
523C2×C4×D7#4114yes—
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—22no—
534C7×C4⋊C4—22no—
535C7×C4⋊C4—22no—
536C7×C4⋊C4—22no—
537C7×C4⋊C4—41no—
538C7×C4⋊C4—41no—
539C7×C22⋊C4—22no—
540C7×C22⋊C4—22no—
541C7×C22⋊C4—22no—
542C7×C22⋊C4—22no—
543C7×C22⋊C4—22no—
544C7×C22⋊C4—22no—
545C7×C22⋊C4—22no—
546C7×C22⋊C4—22no—
547C7×C22⋊C4—22no—
548C7×C22⋊C4—22no—
549C7×C22⋊C4—41no—
550C7×C22⋊C4—41no—
551C42×C7—22no—
552C42×C7—22no—
553C42×C7—22no—
554C42×C7—41no—
555C42×C7—41no—
556C42×C7—41no—
557C42×C7C2×D414yes—
558C22⋊Dic7—22no—
559C22⋊Dic7—22no—
560C22⋊Dic7—22no—
561C22⋊Dic7—22no—
562C22⋊Dic7—41no—
563C22⋊Dic7—41no—
564C22⋊Dic7—41no—
565C22⋊Dic7—41no—
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—22no—
587(C2×D7)⋊C4—22no—
588(C2×D7)⋊C4—22no—
589(C2×D7)⋊C4—41no—
590(C2×D7)⋊C4—41no—
591(C2×D7)⋊C4—41no—
592(C2×D7)⋊C4—41no—
593(C2×D7)⋊C4—41no—
594(C2×D7)⋊C4—41no—
595(C2×D7)⋊C4C2×D414yes—
596(C2×D7)⋊C4C2×D414yes—
597(C2×D7)⋊C4#4114yes—
598C4⋊Dic7—22no—
599C4⋊Dic7—22no—
600C4⋊Dic7—22no—
601C4⋊Dic7—22no—
602C4⋊Dic7—22no—
603C4⋊Dic7—22no—
604C4⋊Dic7C2×D414yes—
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—22no—
614Dic7⋊C4—22no—
615Dic7⋊C4—41no—
616Dic7⋊C4—41no—
617Dic7⋊C4—41no—
618Dic7⋊C4—41no—
619C4×Dic7—22no—
620C4×Dic7—22no—
621C4×Dic7—22no—
622C4×Dic7—22no—
623C4×Dic7—41no—
624C4×Dic7—41no—
625C4×Dic7—41no—
626C4×Dic7—41no—
627#539—148no—
628#538—148no—
629C2×#126—71no—
630C2×#126—71no—
631C2×#126C2×D711yescharacteristic
632C2×#126C2×D711yescharacteristic, complemented
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×#121—71no—
655C2×#120—71no—
656C2×#120—71no—
657C2×#120—71no—
658C2×C4×D4—71no—
659C2×C4×D4—71no—
660C2×C4×D4—71no—
661C2×C4×D4—71no—
662C2×C4×D4—71no—
663C2×C4×D4—71no—
664C22×C4⋊C4—71no—
665C22×C22⋊C4—71no—
666C22×C22⋊C4—71no—
667C22×C22⋊C4—71no—
668C22×C42—71no—
669C22×C42—71no—
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#390C2×D711yescharacteristic
712#390C2×D711yescharacteristic
713#390C2×D711yescharacteristic
714#389—71no—
715#389—71no—
716#389—71no—
717#389C2×D711yescharacteristic, complemented
718#389C2×D711yescharacteristic, complemented
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#388C2×D711yescharacteristic
741#388C2×D711yescharacteristic
742#388C2×D711yescharacteristic
743#388C2×D711yescharacteristic, complemented
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#386—71no—
759#386—71no—
760#385—71no—
761#385—71no—
762#385—71no—
763#385—71no—
764#382—71no—
765#381—71no—
766#380—71no—
767#380—71no—
768#379—71no—
769C4×C4⋊C4—71no—
770C4×C4⋊C4—71no—
771C4×C4⋊C4—71no—
772C4×C4⋊C4—71no—
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⋊C4—71no—
780C4×C22⋊C4—71no—
781C2×#95—71no—
782C2×#95—71no—
783C43C2×D711yescharacteristic, complemented
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×C7C2511yescharacteristic
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
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—44no—
824C22×D7—44no—
825C22×D7—44no—
826C22×D7—82no—
827C22×D7—82no—
828C22×D7—82no—
829C22×D7—82no—
830C22×D7C22×D412yes—
831C22×D7C22×D412yes—
832C22×D7C2×#4112yes—
833C22×D7C2×#4112yes—
834C7×D4—82no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—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×C7C22×D412yes—
869C2×C4×C7C22×D412yes—
870C2×C4×C7C22×D412yes—
871C2×C4×C7C2×#4112yes—
872C2×C4×C7C2×#4112yes—
873C2×C4×C7H(5,𝔽2)12yes—
874C22⋊D7—44no—
875C22⋊D7—44no—
876C22⋊D7—82no—
877C22⋊D7—82no—
878C22⋊D7—82no—
879C22⋊D7—82no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
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—82no—
913C2×Dic7C22×D412yes—
914C2×Dic7C22×D412yes—
915C2×Dic7C2×#4112yes—
916C2×Dic7C2×#4112yes—
917D28—28no—
918D28—44no—
919D28—82no—
920D28—82no—
921D28—82no—
922C4×D7—44no—
923C4×D7—44no—
924C4×D7—44no—
925C4×D7—44no—
926C4×D7—44no—
927C4×D7—44no—
928C4×D7—44no—
929C4×D7—82no—
930C4×D7—82no—
931C4×D7—82no—
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×D4—71no—
947C22×D4—71no—
948C22×D4C22×D711yescharacteristic
949C23×C4—71no—
950C23×C4—71no—
951C23×C4—71no—
952C23×C4—71no—
953C23×C4—71no—
954C23×C4—71no—
955C23×C4—71no—
956C23×C4—71no—
957C23×C4—71no—
958C23×C4—71no—
959C23×C4—71no—
960#126—24no—
961#126—24no—
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—144no—
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—78no—
990C4×D4—144no—
991C4×D4—144no—
992C4×D4—144no—
993C4×D4—144no—
994C4×D4—282no—
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—144no—
1017C2×C4⋊C4C22×D711yescharacteristic
1018C2×C4⋊C4C22×D711yescharacteristic
1019C2×C4⋊C4C22×D711yescharacteristic
1020C2×C4⋊C4C22×D711yescharacteristic
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—144no—
1067C2×C22⋊C4—144no—
1068C2×C22⋊C4—282no—
1069C2×C22⋊C4C22×D711yescharacteristic
1070C2×C22⋊C4C22×D711yescharacteristic
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—71no—
1082C2×C42—71no—
1083C2×C42—71no—
1084C2×C42—71no—
1085C2×C42—71no—
1086C2×C42—71no—
1087C2×C42—71no—
1088C2×C42—71no—
1089C2×C42—282no—
1090C2×C42—282no—
1091C2×C42C22×D711yescharacteristic
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—41no—
1131C22×C7—41no—
1132C22×C7—41no—
1133C22×C7—41no—
1134C22×C7—41no—
1135C22×C7—41no—
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×C7C23×D411yescharacteristic
1145C22×C7C22×#4111yescharacteristic
1146C22×C7C22×#4111yescharacteristic
1147C22×C7C2×H(5,𝔽2)11yescharacteristic
1148C22×C7#58511yescharacteristic
1149C22×C7#58511yescharacteristic
1150C22×C7#58511yescharacteristic
1151C2×D7—22no—
1152C2×D7—22no—
1153C2×D7—22no—
1154C2×D7—22no—
1155C2×D7—22no—
1156C2×D7—22no—
1157C2×D7—22no—
1158C2×D7—22no—
1159C2×D7—22no—
1160C2×D7—41no—
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—88no—
1179C2×D7#53214yes—
1180C4×C7—22no—
1181C4×C7—22no—
1182C4×C7—22no—
1183C4×C7—22no—
1184C4×C7—22no—
1185C4×C7—22no—
1186C4×C7—41no—
1187C4×C7—41no—
1188C4×C7—41no—
1189C4×C7—41no—
1190C4×C7—41no—
1191C4×C7—41no—
1192C4×C7—41no—
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—71no—
1209C24—142no—
1210C24—142no—
1211C24—142no—
1212C24—281no—
1213C24—281no—
1214C24—281no—
1215C24—281no—
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—41no—
1226C2×D4—41no—
1227C2×D4—74no—
1228C2×D4—142no—
1229C2×D4—142no—
1230C2×D4—142no—
1231C2×D4—142no—
1232C2×D4—142no—
1233C2×D4—142no—
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—71no—
1261C22×C4—71no—
1262C22×C4—71no—
1263C22×C4—71no—
1264C22×C4—74no—
1265C22×C4—74no—
1266C22×C4—74no—
1267C22×C4—71no—
1268C22×C4—71no—
1269C22×C4—71no—
1270C22×C4—71no—
1271C22×C4—71no—
1272C22×C4—71no—
1273C22×C4—71no—
1274C22×C4—71no—
1275C22×C4—142no—
1276C22×C4—142no—
1277C22×C4—142no—
1278C22×C4—142no—
1279C22×C4—142no—
1280C22×C4—142no—
1281C22×C4—142no—
1282C22×C4—142no—
1283C22×C4—142no—
1284C22×C4—142no—
1285C22×C4—142no—
1286C22×C4—142no—
1287C22×C4—281no—
1288C22×C4—281no—
1289C22×C4—281no—
1290C22×C4—281no—
1291C22×C4—281no—
1292C22×C4—281no—
1293C22×C4—281no—
1294C22×C4—281no—
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—281no—
1305C22×C4C23×D711yescharacteristic
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—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—74no—
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—22no—
1357C22⋊C4—22no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—74no—
1361C22⋊C4—74no—
1362C22⋊C4—74no—
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—41no—
1404C42—41no—
1405C42—41no—
1406C42—142no—
1407C42—142no—
1408C42—142no—
1409C42—142no—
1410C42—281no—
1411C42—281no—
1412C42—281no—
1413C42—281no—
1414C42D4×D714yes—
1415C2×C7—81no—
1416C2×C7—81no—
1417C2×C7C2×#53211yescharacteristic
1418C2×C7#345511yescharacteristic
1419C2×C7#345911yescharacteristic
1420C2×C7#349611yescharacteristic
1421C2×C7#350011yescharacteristic
1422C2×C7#351311yescharacteristic
1423C2×C7#352111yescharacteristic
1424D7—24no—
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—72no—
1443C23—72no—
1444C23—72no—
1445C23—72no—
1446C23—141no—
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—141no—
1468C23—141no—
1469C23—141no—
1470C23—284no—
1471C23—284no—
1472C23—284no—
1473C23—562no—
1474C23—562no—
1475C23—562no—
1476C23—562no—
1477C23C24×D711yescharacteristic
1478Q8—562no—
1479Q8—562no—
1480D4—82no—
1481D4—148no—
1482D4—284no—
1483D4—284no—
1484D4—284no—
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—21no—
1524C2×C4—21no—
1525C2×C4—72no—
1526C2×C4—72no—
1527C2×C4—72no—
1528C2×C4—72no—
1529C2×C4—141no—
1530C2×C4—141no—
1531C2×C4—141no—
1532C2×C4—141no—
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—284no—
1562C2×C4—284no—
1563C2×C4—284no—
1564C2×C4—284no—
1565C2×C4—284no—
1566C2×C4—284no—
1567C2×C4—284no—
1568C2×C4—562no—
1569C2×C4—562no—
1570C2×C4—562no—
1571C2×C4—562no—
1572C2×C4C2×D4×D712yes—
1573C2×C4C2×D4×D712yes—
1574C2×C4C2×D4×D712yes—
1575C2×C4D7×#4112yes—
1576C2×C4D7×#4112yes—
1577C2×C4#655312yes—
1578C7#3500911yescharacteristic, complemented, Sylow
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—74no—
1594C22—142no—
1595C22—142no—
1596C22—142no—
1597C22—142no—
1598C22—142no—
1599C22—142no—
1600C22—142no—
1601C22—142no—
1602C22—142no—
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—281no—
1621C22—568no—
1622C22C22×D4×D711yescharacteristic
1623C22C2×D7×#4111yescharacteristic
1624C22C2×D7×#4111yescharacteristic
1625C22C2×#655311yescharacteristic
1626C22#9061611yescharacteristic
1627C22#9061611yescharacteristic
1628C22#9061611yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
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—81no—
1655C2—81no—
1656C2—144no—
1657C2—282no—
1658C2—561no—
1659C2—561no—
1660C2#1174318411yescharacteristic
1661C2#1174321411yescharacteristic
1662C2#1174321511yescharacteristic
1663C2#1174322811yescharacteristic
1664C2D7×#53211yescharacteristic
1665C2#1174330911yescharacteristic
1666C2#1174331211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2860C2
hypercenter#2860D7
hypocenterC7#35009
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2860

Complements

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

NH ≅ G/Ntype
1. C2×#90398C2semidirect
2. C2×#90395C2semidirect
3. C7×#2860C2semidirect
4. #11740558C2semidirect
5. #11740535C2semidirect
6. #11733905C2semidirect
7. #11733899C2semidirect
8. #11733887C2semidirect
9. #11733874C2semidirect
10. #11733802C2semidirect
11. #11733772C2semidirect
12. #11733700C2semidirect
13. #11733689C2semidirect
14. #11733662C2semidirect
15. #11733641C2semidirect
16. #11733515C2semidirect
17. #11733496C2semidirect
18. #11733405C2semidirect
19. #11733402C2semidirect
20. #11733327C2semidirect
21. #11733326C2semidirect
22. #11733321C2semidirect
23. #11733312C2semidirect
24. #11733303C2semidirect
25. D7×#388C2semidirect
26. #11733047C2semidirect
27. #11733046C2semidirect
28. #11732972C2semidirect
29. #11732897C2semidirect
30. #11730760C2semidirect
31. C42×D28C2semidirect
33. C2×C7×#126C22semidirect
38. C2×#6461C22semidirect
41. C2×#6459C22semidirect
49. C2×#6453C22semidirect
50. C2×#6449C22semidirect
59. C2×#6446C22semidirect
63. C2×(C22⋊D7)⋊C4C22semidirect
67. C2×#6441C22semidirect
73. C2×C42×D7C22semidirect
74. C2×#6433C22semidirect
78. C7×#389C22semidirect
79. C7×#389C22semidirect
80. C7×#389C22semidirect
84. C7×#388C22semidirect
85. C7×#388C22semidirect
86. C7×#388C22semidirect
87. C43×C7C22semidirect
92. #89766C22semidirect
93. #89765C22semidirect
97. #89763C22semidirect
100. #89762C22semidirect
103. #89761C22semidirect
104. #89758C22semidirect
105. #89756C22semidirect
106. #89756C22semidirect
107. #89756C22semidirect
108. #89755C22semidirect
109. #89753C22semidirect
110. #89751C22semidirect
111. #89751C22semidirect
112. #89744C22semidirect
113. #89744C22semidirect
116. #89733C22semidirect
118. #89732C22semidirect
124. #89729C22semidirect
129. #89728C22semidirect
132. #89724C22semidirect
137. #89719C22semidirect
142. #89716C22semidirect
143. C22⋊C4×Dic7C22semidirect
148. #89712C22semidirect
149. #89712C22semidirect
150. #89712C22semidirect
151. #89712C22semidirect
157. C4×(C2×D7)⋊C4C22semidirect
158. C4×(C2×D7)⋊C4C22semidirect
159. C4×(C2×D7)⋊C4C22semidirect
160. C4×C4⋊Dic7C22semidirect
161. C4×C4⋊Dic7C22semidirect
162. C4×C4⋊Dic7C22semidirect
163. #89701C22semidirect
164. #89701C22semidirect
165. #89447C22semidirect
171. #89440C22semidirect
173. #89439C22semidirect
174. #89438C22semidirect
178. #89437C22semidirect
179. #89437C22semidirect
183. #89430C22semidirect
184. #89424C22semidirect
185. #89422C22semidirect
186. #89421C22semidirect
187. #89419C22semidirect
188. #89418C22semidirect
350. C4×D28D4semidirect
389. #2860D7semidirect
632. C2×#126C2×D7semidirect
717. #389C2×D7semidirect
718. #389C2×D7semidirect
719. #389C2×D7semidirect
743. #388C2×D7semidirect
744. #388C2×D7semidirect
745. #388C2×D7semidirect
783. C43C2×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×#903982
C2×#903952
C7×#28602
#117405582
#117405352
#117339052
#117338992
#117338872
#117338742
#117338022
#117337722
#117337002
#117336892
#117336622
#117336412
#117335152
#117334962
#117334052
#117334022
#117333272
#117333262
#117333212
#117333122
#117333032
D7×#3882
#117330472
#117330462
#117329722
#117328972
#117307602
C42×D282
#350097