Finite Group Databasebeta

← #13526805

Subgroups — #13526805

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×#90308C211yesmaximal, characteristic, complemented
2C2×#90293C211yesmaximal, characteristic, complemented
3C7×#2543C211yesmaximal, characteristic, complemented
4#11740153C211yesmaximal, characteristic, complemented
5#11740151C211yesmaximal, characteristic, complemented
6#11740090C211yesmaximal, characteristic, complemented
7Dic7×#121C211yesmaximal, characteristic, complemented
8#11739859C211yesmaximal, characteristic, complemented
9C4×D4×Dic7C211yesmaximal, characteristic, complemented
10#11735284C211yesmaximal, characteristic, complemented
11#11735216C211yesmaximal, characteristic, complemented
12#11735010C211yesmaximal, characteristic, complemented
13#11734946C211yesmaximal, characteristic, complemented
14#11734441C211yesmaximal, characteristic, complemented
15#11734360C211yesmaximal, characteristic, complemented
16#11734152C211yesmaximal, characteristic, complemented
17#11734127C211yesmaximal, characteristic, complemented
18#11733266C211yesmaximal, characteristic, complemented
19#11733265C211yesmaximal, characteristic, complemented
20#11733047C211yesmaximal, characteristic, complemented
21#11733045C211yesmaximal, characteristic, complemented
22#11732320C211yesmaximal, characteristic, complemented
23#11732317C211yesmaximal, characteristic, complemented
24#11732314C211yesmaximal, characteristic, complemented
25#11732205C211yesmaximal, characteristic, complemented
26#11732203C211yesmaximal, characteristic, complemented
27#11732185C211yesmaximal, characteristic, complemented
28#11732173C211yesmaximal, characteristic, complemented
29#11732109C211yesmaximal, characteristic, complemented
30#11730802C211yesmaximal, characteristic, complemented
31C2×#89441C211yesmaximal, characteristic, complemented
32C2×C7×#121C2211yescharacteristic
33C2×C7×#121C2211yescharacteristic
34C2×C7×#121C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic
36C2×#6502C2211yescharacteristic
37C2×#6502C2211yescharacteristic
38C2×#6502C2211yescharacteristic
39C2×#6500C2211yescharacteristic
40C2×#6500C2211yescharacteristic
41C2×#6500C2211yescharacteristic
42C2×#6498C2211yescharacteristic
43C2×#6498C2211yescharacteristic
44C2×#6498C2211yescharacteristic
45C2×#6498C2211yescharacteristic, complemented
46C2×#6498C2211yescharacteristic, complemented
47C2×D4×Dic7C2211yescharacteristic
48C2×D4×Dic7C2211yescharacteristic
49C2×D4×Dic7C2211yescharacteristic
50C2×D4×Dic7C2211yescharacteristic
51C2×D4×Dic7C2211yescharacteristic, complemented
52C22×(C2×D7)⋊C4C2211yescharacteristic
53C22×(C2×D7)⋊C4C2211yescharacteristic
54C22×(C2×D7)⋊C4C2211yescharacteristic
55C2×#6487C2211yescharacteristic
56C2×#6487C2211yescharacteristic
57C22×Dic7⋊C4C2211yescharacteristic
58C22×C4×Dic7C2211yescharacteristic
59C22×C4×Dic7C2211yescharacteristic, complemented
60#90308—28no—
61#90293—28no—
62C2×#6461C2211yescharacteristic
63C2×#6461C2211yescharacteristic
64C2×#6452C2211yescharacteristic, complemented
65C2×#6452C2211yescharacteristic, complemented
66C2×#6449C2211yescharacteristic
67C2×#6449C2211yescharacteristic
68C2×#6448C2211yescharacteristic
69C2×#6448C2211yescharacteristic
70C2×#6448C2211yescharacteristic
71C2×#6442C2211yescharacteristic, complemented
72C2×#6442C2211yescharacteristic, complemented
73C2×#6441C2211yescharacteristic, complemented
74C2×#6441C2211yescharacteristic, complemented
75C7×#398C2211yescharacteristic, complemented
76C7×#397C2211yescharacteristic, complemented
77C7×#394C2211yescharacteristic, complemented
78C7×#392C2211yescharacteristic, complemented
79C7×#388C2211yescharacteristic, complemented
80C7×#388C2211yescharacteristic, complemented
81C7×#386C2211yescharacteristic
82C7×#386C2211yescharacteristic
83C7×#386C2211yescharacteristic, complemented
84C7×#386C2211yescharacteristic, complemented
85C2×C7×#95C2211yescharacteristic
86#89995C2211yescharacteristic
87#89995C2211yescharacteristic
88#89995C2211yescharacteristic
89#89994C2211yescharacteristic, complemented
90#89993C2211yescharacteristic, complemented
91#89992C2211yescharacteristic
92#89992C2211yescharacteristic
93#89992C2211yescharacteristic, complemented
94#89985C2211yescharacteristic
95#89985C2211yescharacteristic
96#89984C2211yescharacteristic
97#89982C2211yescharacteristic
98#89982C2211yescharacteristic
99C4×C22⋊Dic7C2211yescharacteristic
100C4×C22⋊Dic7C2211yescharacteristic, complemented
101C2×C7⋊#95C2211yescharacteristic
102#89766C2211yescharacteristic
103#89766C2211yescharacteristic
104#89766C2211yescharacteristic
105#89764C2211yescharacteristic
106#89764C2211yescharacteristic
107#89762C2211yescharacteristic
108#89757C2211yescharacteristic, complemented
109#89756C2211yescharacteristic, complemented
110C4⋊C4×Dic7C2211yescharacteristic, complemented
111C4⋊C4×Dic7C2211yescharacteristic, complemented
112C4⋊C4×Dic7C2211yescharacteristic, complemented
113#89744C2211yescharacteristic, complemented
114#89733C2211yescharacteristic
115#89733C2211yescharacteristic
116#89733C2211yescharacteristic
117#89733C2211yescharacteristic
118#89731C2211yescharacteristic
119#89731C2211yescharacteristic
120#89730C2211yescharacteristic
121#89730C2211yescharacteristic
122#89730C2211yescharacteristic
123#89729C2211yescharacteristic
124#89729C2211yescharacteristic
125#89729C2211yescharacteristic
126#89729C2211yescharacteristic
127#89729C2211yescharacteristic
128#89729C2211yescharacteristic
129#89729C2211yescharacteristic
130#89729C2211yescharacteristic
131#89727C2211yescharacteristic
132#89724C2211yescharacteristic, complemented
133#89724C2211yescharacteristic, complemented
134#89723C2211yescharacteristic, complemented
135#89723C2211yescharacteristic, complemented
136#89723C2211yescharacteristic, complemented
137#89720C2211yescharacteristic, complemented
138#89719C2211yescharacteristic, complemented
139#89718C2211yescharacteristic, complemented
140#89718C2211yescharacteristic, complemented
141#89717C2211yescharacteristic, complemented
142#89716C2211yescharacteristic, complemented
143#89716C2211yescharacteristic, complemented
144#89716C2211yescharacteristic, complemented
145#89715C2211yescharacteristic
146#89714C2211yescharacteristic, complemented
147C22⋊C4×Dic7C2211yescharacteristic
148C22⋊C4×Dic7C2211yescharacteristic
149C22⋊C4×Dic7C2211yescharacteristic, complemented
150C22⋊C4×Dic7C2211yescharacteristic, complemented
151C22⋊C4×Dic7C2211yescharacteristic, complemented
152C22⋊C4×Dic7C2211yescharacteristic, complemented
153#89712C2211yescharacteristic
154#89712C2211yescharacteristic
155C4×C4⋊Dic7C2211yescharacteristic, complemented
156C42×Dic7C2211yescharacteristic, complemented
157#89447C2211yescharacteristic
158#89445C2211yescharacteristic
159#89442C2211yescharacteristic
160#89442C2211yescharacteristic
161#89442C2211yescharacteristic
162#89441C2211yescharacteristic
163#89441C2211yescharacteristic
164#89441C2211yescharacteristic
165#89441C2211yescharacteristic
166#89441C2211yescharacteristic
167#89441C2211yescharacteristic
168#89441C2211yescharacteristic
169#89441C2211yescharacteristic
170#89441C2211yescharacteristic
171#89441C2211yescharacteristic
172#89441C2211yescharacteristic
173#89432C2211yescharacteristic, complemented
174#89430C2211yescharacteristic, complemented
175#89429C2211yescharacteristic, complemented
176#89429C2211yescharacteristic, complemented
177#89428C2211yescharacteristic, complemented
178#89428C2211yescharacteristic, complemented
179#89424C2211yescharacteristic, complemented
180#89424C2211yescharacteristic, complemented
181#89422C2211yescharacteristic, complemented
182#89419C2211yescharacteristic, 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
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C23×C4×C7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C22×C22⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C23×Dic7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C23×Dic7C2311yescharacteristic
213C23×Dic7C2311yescharacteristic
214C22×Dic14C2311yescharacteristic
215C22×Dic14C2311yescharacteristic
216C7×#121—24no—
217C7×#121—24no—
218C7×#121—24no—
219C4×C7×D4—24no—
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C22⋊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×C7×C22⋊C4C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
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#6502—42no—
258#6500—24no—
259#6500—24no—
260#6500—24no—
261#6498—24no—
262#6498—24no—
263#6498—24no—
264#6498—24no—
265#6498—24no—
266D4×Dic7—24no—
267D4×Dic7—24no—
268D4×Dic7—24no—
269D4×Dic7—42no—
270D4×Dic7D418yescomplemented
271C2×(C2×D7)⋊C4—24no—
272C2×(C2×D7)⋊C4—24no—
273C2×(C2×D7)⋊C4—42no—
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×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302C2×C4⋊Dic7C2311yescharacteristic
303C2×C4⋊Dic7C2311yescharacteristic
304#6487—24no—
305#6487—24no—
306C2×Dic7⋊C4—24no—
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×C4×Dic7—42no—
326C2×C4×Dic7—42no—
327C2×C4×Dic7C2311yescharacteristic
328C2×C4×Dic7C2311yescharacteristic
329C2×C4×Dic7C2311yescharacteristic
330C2×C4×Dic7C2311yescharacteristic
331C2×C4×Dic7C2311yescharacteristic
332C2×C4×Dic7C2311yescharacteristic
333C2×C4×Dic7C2311yescharacteristic
334C2×C4×Dic7C2311yescharacteristic
335C2×C4×Dic7C2311yescharacteristic
336C2×C4×Dic7C2311yescharacteristic
337C2×C4×Dic7C2311yescharacteristic
338C2×C4×Dic7C2311yescharacteristic
339C2×C4×Dic7C2311yescharacteristic
340C2×C4×Dic7C2311yescharacteristic
341#6461—24no—
342#6461—24no—
343#6452—24no—
344#6452—24no—
345#6449—24no—
346#6449—24no—
347#6448—24no—
348#6448—24no—
349#6448—42no—
350#6442—24no—
351#6442—24no—
352#6441—24no—
353#6441—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#2543D711yescharacteristic, complemented
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
419C24×C7C2411yescharacteristic
420C24×C7C2411yescharacteristic
421C23×D7—22no—
422C23×D7—22no—
423C23×D7—22no—
424C23×D7—41no—
425C23×D7—41no—
426C23×D7—41no—
427C23×D7—41no—
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—22no—
438C2×C7×D4—22no—
439C2×C7×D4—22no—
440C2×C7×D4—22no—
441C2×C7×D4—41no—
442C2×C7×D4—41no—
443C2×C7×D4—41no—
444C2×C7×D4—41no—
445C2×C7×D4—41no—
446C2×C7×D4—41no—
447C2×C7×D4C2×D414yes—
448C22×C4×C7—22no—
449C22×C4×C7—22no—
450C22×C4×C7—22no—
451C22×C4×C7—41no—
452C22×C4×C7—41no—
453C22×C4×C7—41no—
454C22×C4×C7—41no—
455C22×C4×C7—41no—
456C22×C4×C7—41no—
457C22×C4×C7—41no—
458C22×C4×C7—41no—
459C22×C4×C7#4114yes—
460C22×C4×C7C2411yescharacteristic
461C22×C4×C7C2411yescharacteristic
462C22×C4×C7C2411yescharacteristic
463C22×C4×C7C2411yescharacteristic
464C22×C4×C7C2411yescharacteristic
465C22×C4×C7C2411yescharacteristic
466C22×C4×C7C2411yescharacteristic
467C22×C4×C7C2411yescharacteristic
468C22×C4×C7C2411yescharacteristic
469C22×C4×C7C2411yescharacteristic
470C22×C4×C7C2411yescharacteristic
471C2×C22⋊D7—22no—
472C2×C22⋊D7—22no—
473C2×C22⋊D7—22no—
474C2×C22⋊D7—22no—
475C2×C22⋊D7—22no—
476C2×C22⋊D7—22no—
477C2×C22⋊D7—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⋊D7—41no—
487C2×C22⋊D7—41no—
488C2×C22⋊D7—41no—
489C22×Dic7—22no—
490C22×Dic7—22no—
491C22×Dic7—22no—
492C22×Dic7—22no—
493C22×Dic7—22no—
494C22×Dic7—22no—
495C22×Dic7—22no—
496C22×Dic7—22no—
497C22×Dic7—22no—
498C22×Dic7—41no—
499C22×Dic7—41no—
500C22×Dic7—41no—
501C22×Dic7—41no—
502C22×Dic7—41no—
503C22×Dic7—41no—
504C22×Dic7—41no—
505C22×Dic7—41no—
506C22×Dic7—41no—
507C22×Dic7—41no—
508C22×Dic7C2×D414yes—
509C22×Dic7C2×D414yes—
510C22×Dic7C2411yescharacteristic
511C22×Dic7C2411yescharacteristic
512C22×Dic7C2411yescharacteristic
513C22×Dic7C2411yescharacteristic
514C22×Dic7C2411yescharacteristic
515C22×Dic7C2411yescharacteristic
516C22×Dic7C2411yescharacteristic
517C22×Dic7C2411yescharacteristic
518C22×Dic7C2411yescharacteristic
519C22×Dic7C2411yescharacteristic
520C22×Dic7C2411yescharacteristic
521C22×Dic7C2411yescharacteristic
522C22×Dic7C2411yescharacteristic
523C22×Dic7C2411yescharacteristic
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×C22⋊C4—22no—
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—41no—
543C7×C22⋊C4—41no—
544C7×C22⋊C4—41no—
545C7×C22⋊C4—41no—
546C42×C7—22no—
547C22⋊Dic7—22no—
548C22⋊Dic7—22no—
549C22⋊Dic7—22no—
550C22⋊Dic7—22no—
551C22⋊Dic7—22no—
552C22⋊Dic7—22no—
553C22⋊Dic7—22no—
554C22⋊Dic7—22no—
555C22⋊Dic7—22no—
556C22⋊Dic7—22no—
557C22⋊Dic7—22no—
558C22⋊Dic7—22no—
559C22⋊Dic7—22no—
560C22⋊Dic7—41no—
561C22⋊Dic7—41no—
562C22⋊Dic7C2×D414yes—
563C22⋊Dic7C2×D414yes—
564C22⋊Dic7#4114yes—
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—41no—
582(C2×D7)⋊C4—41no—
583(C2×D7)⋊C4—41no—
584(C2×D7)⋊C4—41no—
585(C2×D7)⋊C4—41no—
586(C2×D7)⋊C4—41no—
587C4⋊Dic7—22no—
588C4⋊Dic7—22no—
589C4⋊Dic7—22no—
590C4⋊Dic7—22no—
591C4⋊Dic7—22no—
592C4⋊Dic7—41no—
593C4⋊Dic7—41no—
594C4⋊Dic7C2×D414yes—
595Dic7⋊C4—22no—
596Dic7⋊C4—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—41no—
610Dic7⋊C4—41no—
611Dic7⋊C4—41no—
612Dic7⋊C4—41no—
613C4×Dic7—22no—
614C4×Dic7—22no—
615C4×Dic7—22no—
616C4×Dic7—22no—
617C4×Dic7—22no—
618C4×Dic7—22no—
619C4×Dic7—41no—
620C4×Dic7—41no—
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×#121C2×D711yescharacteristic
653C2×#121C2×D711yescharacteristic
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×D4—71no—
662C2×C4×D4—71no—
663C2×C4×D4C2×D711yescharacteristic
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#398C2×D711yescharacteristic, complemented
678#397—71no—
679#397—71no—
680#397—71no—
681#397C2×D711yescharacteristic, complemented
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#394C2×D711yescharacteristic, complemented
696#393—71no—
697#393—71no—
698#392—71no—
699#392—71no—
700#392—71no—
701#392C2×D711yescharacteristic, complemented
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#390—71no—
714#389—71no—
715#389—71no—
716#389—71no—
717#389—71no—
718#389—71no—
719#389—71no—
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#386C2×D711yescharacteristic
757#386C2×D711yescharacteristic
758#386C2×D711yescharacteristic, complemented
759#386C2×D711yescharacteristic, complemented
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×#95C2×D711yescharacteristic
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×C7—21no—
803C23×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7C22×D412yes—
809C23×C7C22×D412yes—
810C23×C7C2×#4112yes—
811C23×C7C2×#4112yes—
812C23×C7C2511yescharacteristic
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—21no—
827C22×D7—44no—
828C22×D7—44no—
829C22×D7—44no—
830C22×D7—82no—
831C22×D7—82no—
832C22×D7—82no—
833C22×D7—82no—
834C7×D4—28no—
835C7×D4—44no—
836C7×D4—44no—
837C7×D4—44no—
838C7×D4—82no—
839C7×D4—82no—
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—21no—
869C2×C4×C7—21no—
870C2×C4×C7—44no—
871C2×C4×C7—44no—
872C2×C4×C7—82no—
873C2×C4×C7—82no—
874C2×C4×C7C22×D412yes—
875C2×C4×C7C2×#4112yes—
876C2×C4×C7C2×#4112yes—
877C22⋊D7—82no—
878C22⋊D7—82no—
879C22⋊D7—82no—
880C22⋊D7—82no—
881C22⋊D7—82no—
882C22⋊D7—82no—
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—21no—
913C2×Dic7—21no—
914C2×Dic7—21no—
915C2×Dic7—21no—
916C2×Dic7—21no—
917C2×Dic7—21no—
918C2×Dic7—44no—
919C2×Dic7—44no—
920C2×Dic7—44no—
921C2×Dic7—44no—
922C2×Dic7—44no—
923C2×Dic7—82no—
924C2×Dic7—82no—
925C2×Dic7C22×D412yes—
926C2×Dic7C22×D412yes—
927C2×Dic7C22×D412yes—
928C2×Dic7C22×D412yes—
929C2×Dic7C2×#4112yes—
930C2×Dic7C2×#4112yes—
931C2×Dic7H(5,𝔽2)12yes—
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×D4C22×D711yescharacteristic
944C22×D4C22×D711yescharacteristic
945C22×D4C22×D711yescharacteristic
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×C4—71no—
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—24no—
982#121—24no—
983#121—144no—
984#121—144no—
985#121—282no—
986#120—144no—
987#120—144no—
988#120—144no—
989C4×D4—24no—
990C4×D4—78no—
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—71no—
1017C2×C4⋊C4—71no—
1018C2×C4⋊C4—71no—
1019C2×C4⋊C4—71no—
1020C2×C4⋊C4—71no—
1021C2×C4⋊C4—144no—
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—71no—
1090C2×C42—71no—
1091C2×C42—71no—
1092C2×C42—71no—
1093C2×C42—71no—
1094C2×C42—71no—
1095C2×C42—282no—
1096C2×C42—282no—
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#95C22×D711yescharacteristic
1123#95C22×D711yescharacteristic
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—22no—
1137C22×C7—22no—
1138C22×C7—22no—
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—41no—
1151C22×C7—41no—
1152C22×C7—41no—
1153C22×C7—41no—
1154C22×C7—41no—
1155C22×C7—41no—
1156C22×C7—41no—
1157C22×C7#53214yes—
1158C22×C7C23×D411yescharacteristic
1159C22×C7C22×#4111yescharacteristic
1160C22×C7C22×#4111yescharacteristic
1161C22×C7C2×H(5,𝔽2)11yescharacteristic
1162C22×C7#58511yescharacteristic
1163C22×C7#58511yescharacteristic
1164C22×C7#58511yescharacteristic
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—41no—
1184C4×C7—41no—
1185C4×C7—41no—
1186C4×C7—41no—
1187C4×C7—41no—
1188C4×C7—41no—
1189C4×C7—41no—
1190C4×C7—41no—
1191Dic7—22no—
1192Dic7—22no—
1193Dic7—22no—
1194Dic7—22no—
1195Dic7—22no—
1196Dic7—22no—
1197Dic7—22no—
1198Dic7—41no—
1199Dic7—41no—
1200Dic7—41no—
1201Dic7—41no—
1202Dic7—41no—
1203Dic7—41no—
1204Dic7—41no—
1205C24—71no—
1206C24—71no—
1207C24—142no—
1208C24—142no—
1209C24—142no—
1210C24—281no—
1211C24—281no—
1212C24—281no—
1213C24—281no—
1214C24C23×D711yescharacteristic
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—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—142no—
1242C2×D4—142no—
1243C2×D4—142no—
1244C2×D4—142no—
1245C2×D4—142no—
1246C2×D4—142no—
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×D4D4×D714yes—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—71no—
1272C22×C4—71no—
1273C22×C4—71no—
1274C22×C4—71no—
1275C22×C4—71no—
1276C22×C4—71no—
1277C22×C4—71no—
1278C22×C4—74no—
1279C22×C4—74no—
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—142no—
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×C4—281no—
1306C22×C4#115914yes—
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—74no—
1323C4⋊C4—142no—
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—281no—
1343C4⋊C4—281no—
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—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—142no—
1391C22⋊C4—142no—
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—74no—
1402C42—142no—
1403C42—142no—
1404C42—142no—
1405C42—142no—
1406C42—142no—
1407C42—142no—
1408C42—281no—
1409C42—281no—
1410C42—281no—
1411C42—281no—
1412C42—281no—
1413C42—281no—
1414C42—281no—
1415C2×C7—24no—
1416C2×C7—42no—
1417C2×C7—81no—
1418C2×C7—81no—
1419C2×C7C2×#53211yescharacteristic
1420C2×C7#345511yescharacteristic
1421C2×C7#345911yescharacteristic
1422C2×C7#349611yescharacteristic
1423C2×C7#350011yescharacteristic
1424C2×C7#351311yescharacteristic
1425C2×C7#352111yescharacteristic
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—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
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—284no—
1467C23—284no—
1468C23—284no—
1469C23—562no—
1470C23—562no—
1471C23—562no—
1472C23—562no—
1473C23C2×D4×D712yes—
1474C23C2×D4×D712yes—
1475C23C2×#115912yes—
1476C23D7×#4112yes—
1477C23C24×D711yescharacteristic
1478Q8—562no—
1479Q8—562no—
1480D4—28no—
1481D4—44no—
1482D4—44no—
1483D4—44no—
1484D4—82no—
1485D4—82no—
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—44no—
1523C2×C4—44no—
1524C2×C4—72no—
1525C2×C4—72no—
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—141no—
1568C2×C4—284no—
1569C2×C4—284no—
1570C2×C4—284no—
1571C2×C4—284no—
1572C2×C4—284no—
1573C2×C4—562no—
1574C2×C4—562no—
1575C2×C4C2×D4×D712yes—
1576C2×C4C2×#115912yes—
1577C2×C4C2×#115912yes—
1578C7#3500911yescharacteristic, complemented, Sylow
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
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#9028714yes—
1622C22C22×D4×D711yescharacteristic
1623C22C22×#115911yescharacteristic
1624C22C2×D7×#4111yescharacteristic
1625C22#9061611yescharacteristic
1626C22#9061611yescharacteristic
1627C22D7×H(5,𝔽2)11yescharacteristic
1628C22#9061811yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—142no—
1641C4—142no—
1642C4—142no—
1643C4—142no—
1644C4—142no—
1645C4—142no—
1646C4—142no—
1647C4—281no—
1648C4—281no—
1649C4—281no—
1650C4—281no—
1651C4—281no—
1652C4—281no—
1653C4—281no—
1654C2—24no—
1655C2—42no—
1656C2—81no—
1657C2—81no—
1658C2—561no—
1659C2—561no—
1660C2C2×#9028711yescharacteristic
1661C2#1174330411yescharacteristic
1662C2#1174336311yescharacteristic
1663C2#1174370011yescharacteristic
1664C2#1174373311yescharacteristic
1665C2#1174395011yescharacteristic
1666C2#1174395711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2543C2
hypercenter#2543D7
hypocenterC7#35009
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2543

Complements

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

NH ≅ G/Ntype
1. C2×#90308C2semidirect
2. C2×#90293C2semidirect
3. C7×#2543C2semidirect
4. #11740153C2semidirect
5. #11740151C2semidirect
6. #11740090C2semidirect
7. Dic7×#121C2semidirect
8. #11739859C2semidirect
9. C4×D4×Dic7C2semidirect
10. #11735284C2semidirect
11. #11735216C2semidirect
12. #11735010C2semidirect
13. #11734946C2semidirect
14. #11734441C2semidirect
15. #11734360C2semidirect
16. #11734152C2semidirect
17. #11734127C2semidirect
18. #11733266C2semidirect
19. #11733265C2semidirect
20. #11733047C2semidirect
21. #11733045C2semidirect
22. #11732320C2semidirect
23. #11732317C2semidirect
24. #11732314C2semidirect
25. #11732205C2semidirect
26. #11732203C2semidirect
27. #11732185C2semidirect
28. #11732173C2semidirect
29. #11732109C2semidirect
30. #11730802C2semidirect
31. C2×#89441C2semidirect
45. C2×#6498C22semidirect
46. C2×#6498C22semidirect
51. C2×D4×Dic7C22semidirect
59. C22×C4×Dic7C22semidirect
64. C2×#6452C22semidirect
65. C2×#6452C22semidirect
71. C2×#6442C22semidirect
72. C2×#6442C22semidirect
73. C2×#6441C22semidirect
74. C2×#6441C22semidirect
75. C7×#398C22semidirect
76. C7×#397C22semidirect
77. C7×#394C22semidirect
78. C7×#392C22semidirect
79. C7×#388C22semidirect
80. C7×#388C22semidirect
83. C7×#386C22semidirect
84. C7×#386C22semidirect
89. #89994C22semidirect
90. #89993C22semidirect
93. #89992C22semidirect
100. C4×C22⋊Dic7C22semidirect
108. #89757C22semidirect
109. #89756C22semidirect
110. C4⋊C4×Dic7C22semidirect
111. C4⋊C4×Dic7C22semidirect
112. C4⋊C4×Dic7C22semidirect
113. #89744C22semidirect
132. #89724C22semidirect
133. #89724C22semidirect
134. #89723C22semidirect
135. #89723C22semidirect
136. #89723C22semidirect
137. #89720C22semidirect
138. #89719C22semidirect
139. #89718C22semidirect
140. #89718C22semidirect
141. #89717C22semidirect
142. #89716C22semidirect
143. #89716C22semidirect
144. #89716C22semidirect
146. #89714C22semidirect
149. C22⋊C4×Dic7C22semidirect
150. C22⋊C4×Dic7C22semidirect
151. C22⋊C4×Dic7C22semidirect
152. C22⋊C4×Dic7C22semidirect
155. C4×C4⋊Dic7C22semidirect
156. C42×Dic7C22semidirect
173. #89432C22semidirect
174. #89430C22semidirect
175. #89429C22semidirect
176. #89429C22semidirect
177. #89428C22semidirect
178. #89428C22semidirect
179. #89424C22semidirect
180. #89424C22semidirect
181. #89422C22semidirect
182. #89419C22semidirect
183. #89419C22semidirect
184. #89419C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
188. #89418C22semidirect
270. D4×Dic7D4semidirect
401. #2543D7semidirect
677. #398C2×D7semidirect
681. #397C2×D7semidirect
695. #394C2×D7semidirect
701. #392C2×D7semidirect
744. #388C2×D7semidirect
745. #388C2×D7semidirect
758. #386C2×D7semidirect
759. #386C2×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×#903082
C2×#902932
C7×#25432
#117401532
#117401512
#117400902
Dic7×#1212
#117398592
C4×D4×Dic72
#117352842
#117352162
#117350102
#117349462
#117344412
#117343602
#117341522
#117341272
#117332662
#117332652
#117330472
#117330452
#117323202
#117323172
#117323142
#117322052
#117322032
#117321852
#117321732
#117321092
#117308022
C2×#894412
#350097