Finite Group Databasebeta

← #14216874

Subgroups — #14216874

Order 1792.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2367C211yesmaximal, characteristic, complemented
2#11740448C211yesmaximal, characteristic, complemented
3#11740444C211yesmaximal, characteristic, complemented
4#11739946C211yesmaximal, characteristic, complemented
5#11739911C211yesmaximal, characteristic, complemented
6C4×#6500C211yesmaximal, characteristic, complemented
7#11739809C211yesmaximal, characteristic, complemented
8#11733984C211yesmaximal, characteristic, complemented
9#11733974C211yesmaximal, characteristic, complemented
10#11733907C211yesmaximal, characteristic, complemented
11#11733815C211yesmaximal, characteristic, complemented
12#11733379C211yesmaximal, characteristic, complemented
13#11733361C211yesmaximal, characteristic, complemented
14#11733340C211yesmaximal, characteristic, complemented
15#11733327C211yesmaximal, characteristic, complemented
16#11733319C211yesmaximal, characteristic, complemented
17#11733086C211yesmaximal, characteristic, complemented
18#11733061C211yesmaximal, characteristic, complemented
19#11732949C211yesmaximal, characteristic, complemented
20#11732056C211yesmaximal, characteristic, complemented
21#11732042C211yesmaximal, characteristic, complemented
22#11731941C211yesmaximal, characteristic, complemented
23#11731824C211yesmaximal, characteristic, complemented
24#11731256C211yesmaximal, characteristic, complemented
25#11731217C211yesmaximal, characteristic, complemented
26#11731187C211yesmaximal, characteristic, complemented
27#11731094C211yesmaximal, characteristic, complemented
28#11731053C211yesmaximal, characteristic, complemented
29C4×#6445C211yesmaximal, characteristic, complemented
30#11730970C211yesmaximal, characteristic, complemented
31#11730915C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#124C2211yescharacteristic
34C2×C4×C7×Q8C2211yescharacteristic, complemented
35C2×C4×C7×D4C2211yescharacteristic
36C2×#6510C2211yescharacteristic
37C2×#6500C2211yescharacteristic
38C2×#6492C2211yescharacteristic, complemented
39C2×C4×C22⋊D7C2211yescharacteristic
40C2×C4×C22⋊D7C2211yescharacteristic
41C2×C4×C22⋊D7C2211yescharacteristic
42C2×#6458C2211yescharacteristic
43C2×#6457C2211yescharacteristic
44C2×#6456C2211yescharacteristic
45C2×#6456C2211yescharacteristic
46C2×#6455C2211yescharacteristic, complemented
47C2×#6447C2211yescharacteristic
48C2×#6447C2211yescharacteristic, complemented
49C2×#6446C2211yescharacteristic
50C2×#6446C2211yescharacteristic, complemented
51C2×#6445C2211yescharacteristic
52C2×#6445C2211yescharacteristic
53C2×(C22⋊D7)⋊C4C2211yescharacteristic
54C2×C4×D28C2211yescharacteristic
55C2×C4×D28C2211yescharacteristic
56C2×#6435C2211yescharacteristic, complemented
57C7×#391C2211yescharacteristic, complemented
58C7×#390C2211yescharacteristic
59C7×#388C2211yescharacteristic
60C7×#388C2211yescharacteristic
61C7×#388C2211yescharacteristic, complemented
62C7×#388C2211yescharacteristic, complemented
63C7×#385C2211yescharacteristic
64C7×#385C2211yescharacteristic, complemented
65C4×C7×C4⋊C4C2211yescharacteristic, complemented
66C4×C7×C4⋊C4C2211yescharacteristic, complemented
67C4×C7×C22⋊C4C2211yescharacteristic
68C4×C7×C22⋊C4C2211yescharacteristic, complemented
69#90003C2211yescharacteristic
70#90003C2211yescharacteristic, complemented
71#90002C2211yescharacteristic, complemented
72#89995C2211yescharacteristic
73#89995C2211yescharacteristic
74#89992C2211yescharacteristic
75#89985C2211yescharacteristic
76#89985C2211yescharacteristic, complemented
77C4×C22⋊Dic7C2211yescharacteristic
78#89766C2211yescharacteristic
79#89765C2211yescharacteristic
80#89765C2211yescharacteristic, complemented
81#89764C2211yescharacteristic
82#89764C2211yescharacteristic, complemented
83#89762C2211yescharacteristic
84#89762C2211yescharacteristic, complemented
85#89761C2211yescharacteristic
86#89761C2211yescharacteristic
87#89761C2211yescharacteristic
88#89761C2211yescharacteristic
89#89761C2211yescharacteristic, complemented
90#89761C2211yescharacteristic, complemented
91#89761C2211yescharacteristic, complemented
92#89757C2211yescharacteristic, complemented
93#89756C2211yescharacteristic, complemented
94#89753C2211yescharacteristic, complemented
95C4⋊C4×Dic7C2211yescharacteristic, complemented
96#89744C2211yescharacteristic, complemented
97#89733C2211yescharacteristic
98#89733C2211yescharacteristic
99#89733C2211yescharacteristic
100#89733C2211yescharacteristic, complemented
101#89732C2211yescharacteristic
102#89732C2211yescharacteristic
103#89732C2211yescharacteristic
104#89732C2211yescharacteristic
105#89731C2211yescharacteristic
106#89731C2211yescharacteristic
107#89730C2211yescharacteristic
108#89729C2211yescharacteristic
109#89729C2211yescharacteristic, complemented
110#89728C2211yescharacteristic
111#89728C2211yescharacteristic
112#89728C2211yescharacteristic
113#89728C2211yescharacteristic, complemented
114#89727C2211yescharacteristic
115#89727C2211yescharacteristic
116#89727C2211yescharacteristic
117#89725C2211yescharacteristic, complemented
118#89724C2211yescharacteristic
119#89723C2211yescharacteristic
120#89723C2211yescharacteristic, complemented
121#89723C2211yescharacteristic, complemented
122#89722C2211yescharacteristic
123#89720C2211yescharacteristic
124#89720C2211yescharacteristic
125#89718C2211yescharacteristic
126#89717C2211yescharacteristic
127#89717C2211yescharacteristic, complemented
128#89717C2211yescharacteristic, complemented
129C22⋊C4×Dic7C2211yescharacteristic
130#89712C2211yescharacteristic
131#89712C2211yescharacteristic
132#89712C2211yescharacteristic
133#89712C2211yescharacteristic
134#89712C2211yescharacteristic, complemented
135#89712C2211yescharacteristic, complemented
136#89712C2211yescharacteristic, complemented
137#89711C2211yescharacteristic
138#89711C2211yescharacteristic
139#89711C2211yescharacteristic
140#89711C2211yescharacteristic
141#89711C2211yescharacteristic, complemented
142C4×(C2×D7)⋊C4C2211yescharacteristic
143C4×(C2×D7)⋊C4C2211yescharacteristic
144C4×(C2×D7)⋊C4C2211yescharacteristic
145C4×(C2×D7)⋊C4C2211yescharacteristic
146C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
147C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
148#89708C2211yescharacteristic, complemented
149#89705C2211yescharacteristic, complemented
150#89705C2211yescharacteristic, complemented
151#89705C2211yescharacteristic, complemented
152C4×Dic7⋊C4C2211yescharacteristic, complemented
153#89700C2211yescharacteristic, complemented
154#89700C2211yescharacteristic, complemented
155#89448C2211yescharacteristic
156#89447C2211yescharacteristic
157#89446C2211yescharacteristic
158#89446C2211yescharacteristic
159#89444C2211yescharacteristic
160#89443C2211yescharacteristic
161#89442C2211yescharacteristic
162#89442C2211yescharacteristic, complemented
163#89441C2211yescharacteristic, complemented
164#89440C2211yescharacteristic
165#89440C2211yescharacteristic
166#89438C2211yescharacteristic
167#89438C2211yescharacteristic
168#89438C2211yescharacteristic, complemented
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic, complemented
175#89437C2211yescharacteristic, complemented
176D7×#95C2211yescharacteristic, complemented
177#89432C2211yescharacteristic, complemented
178#89430C2211yescharacteristic, complemented
179#89427C2211yescharacteristic, complemented
180#89426C2211yescharacteristic, complemented
181#89426C2211yescharacteristic, complemented
182#89425C2211yescharacteristic, complemented
183#89423C2211yescharacteristic, complemented
184#89423C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89419C2211yescharacteristic, complemented
187#60033—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C22×C7×Q8C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×C4×D7—42no—
206C22×C4×D7—42no—
207C22×C4×D7—42no—
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C7×#124—24no—
217C4×C7×Q8—42no—
218C4×C7×D4—42no—
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×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×C7C2311yescharacteristic
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
250#6510—24no—
251#6500—24no—
252#6492—42no—
253C4×C22⋊D7—42no—
254C4×C22⋊D7—42no—
255C4×C22⋊D7—42no—
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×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317#6458—24no—
318#6457—24no—
319#6456—42no—
320#6456—42no—
321#6455—42no—
322#6447—24no—
323#6447—42no—
324#6446—24no—
325#6446—42no—
326#6445—24no—
327#6445—24no—
328(C22⋊D7)⋊C4—42no—
329C4×D28—42no—
330C4×D28—42no—
331#6435—42no—
332C7×#95C2311yescharacteristic
333C7×#95C2311yescharacteristic
334C7×#95C2311yescharacteristic
335C7×#95C2311yescharacteristic
336C7×#95C2311yescharacteristic
337C7×#95C2311yescharacteristic
338C7×#95C2311yescharacteristic
339C7×#95C2311yescharacteristic
340C7⋊#95C2311yescharacteristic
341C7⋊#95C2311yescharacteristic
342C7⋊#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
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
370#2735—71no—
371#2678—71no—
372#2678—71no—
373#2670—71no—
374#2602—71no—
375#2602—71no—
376#2598—71no—
377#2598—71no—
378#2597—71no—
379#2597—71no—
380#2587—71no—
381#2587—71no—
382#2580—71no—
383#2557—71no—
384#2557—71no—
385#2543—71no—
386#2523—71no—
387#2518—71no—
388#2518—71no—
389#2456—71no—
390#2456—71no—
391#2455—71no—
392#2367—71no—
393#2367D711yescharacteristic, complemented
394#2363—71no—
395#2363—71no—
396#2359—71no—
397#2359—71no—
398C4×#120—71no—
399C4×#120—71no—
400C4×#120—71no—
401C24×C7C2411yescharacteristic
402C24×C7C2411yescharacteristic
403C23×D7—22no—
404C23×D7—22no—
405C23×D7—22no—
406C23×D7—41no—
407C23×D7—41no—
408C23×D7—41no—
409C23×D7—41no—
410C23×D7C2411yescharacteristic
411C23×D7C2411yescharacteristic
412C23×D7C2411yescharacteristic
413C23×D7C2411yescharacteristic
414C2×C7×Q8—22no—
415C2×C7×Q8—22no—
416C2×C7×Q8—41no—
417C2×C7×D4—22no—
418C2×C7×D4—22no—
419C2×C7×D4—41no—
420C22×C4×C7—22no—
421C22×C4×C7—22no—
422C22×C4×C7—22no—
423C22×C4×C7—41no—
424C22×C4×C7—41no—
425C22×C4×C7—41no—
426C22×C4×C7C2411yescharacteristic
427C22×C4×C7C2411yescharacteristic
428C22×C4×C7C2411yescharacteristic
429C22×C4×C7C2411yescharacteristic
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C2×C22⋊D7—22no—
440C2×C22⋊D7—22no—
441C2×C22⋊D7—22no—
442C2×C22⋊D7—22no—
443C2×C22⋊D7—22no—
444C2×C22⋊D7—22no—
445C2×C22⋊D7—22no—
446C2×C22⋊D7—41no—
447C2×C22⋊D7—41no—
448C2×C22⋊D7—41no—
449C2×C22⋊D7—41no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7—41no—
457C22×Dic7—22no—
458C22×Dic7—41no—
459C22×Dic7—41no—
460C22×Dic7C2411yescharacteristic
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C2×D28—22no—
473C2×D28—22no—
474C2×D28—22no—
475C2×D28—22no—
476C2×D28—22no—
477C2×D28—22no—
478C2×D28—22no—
479C2×D28—41no—
480C2×D28—41no—
481C2×D28—41no—
482C2×D28—41no—
483C2×D28—41no—
484C2×D28—41no—
485C2×D28—41no—
486C2×D28#4114yes—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
491C2×C4×D7—22no—
492C2×C4×D7—22no—
493C2×C4×D7—22no—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—41no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—416no—
508C2×C4×D7—41no—
509C2×C4×D7—41no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C7×C4⋊C4—22no—
513C7×C4⋊C4—22no—
514C7×C4⋊C4—22no—
515C7×C4⋊C4—22no—
516C7×C4⋊C4—22no—
517C7×C4⋊C4—41no—
518C7×C22⋊C4—22no—
519C7×C22⋊C4—22no—
520C7×C22⋊C4—22no—
521C7×C22⋊C4—22no—
522C7×C22⋊C4—22no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—41no—
525C7×C22⋊C4—41no—
526C7×C22⋊C4—41no—
527C7×C22⋊C4#4114yes—
528C42×C7—22no—
529C42×C7—22no—
530C42×C7—41no—
531C42×C7—41no—
532C42×C7—41no—
533C42×C7—41no—
534C42×C7—41no—
535C22⋊Dic7—22no—
536C22⋊Dic7—22no—
537C22⋊Dic7—22no—
538C22⋊Dic7—41no—
539C22⋊Dic7—41no—
540C22⋊Dic7—41no—
541C22⋊Dic7—41no—
542C22⋊Dic7—41no—
543(C2×D7)⋊C4—22no—
544(C2×D7)⋊C4—22no—
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4—41no—
567(C2×D7)⋊C4—41no—
568(C2×D7)⋊C4—41no—
569(C2×D7)⋊C4—41no—
570(C2×D7)⋊C4—41no—
571(C2×D7)⋊C4—41no—
572(C2×D7)⋊C4—41no—
573(C2×D7)⋊C4—41no—
574(C2×D7)⋊C4—41no—
575(C2×D7)⋊C4—41no—
576(C2×D7)⋊C4#4114yes—
577C4⋊Dic7—22no—
578C4⋊Dic7—22no—
579C4⋊Dic7—41no—
580C4⋊Dic7—41no—
581C4⋊Dic7—41no—
582C4⋊Dic7—41no—
583C4⋊Dic7—41no—
584Dic7⋊C4—22no—
585Dic7⋊C4—22no—
586Dic7⋊C4—22no—
587Dic7⋊C4—22no—
588Dic7⋊C4—22no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4—41no—
595Dic7⋊C4—41no—
596C4×Dic7—22no—
597C4×Dic7—22no—
598C4×Dic7—22no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C24×C4—71no—
605C2×#124—71no—
606C2×#124C2×D711yescharacteristic
607C2×#123—71no—
608C2×#123—71no—
609C2×#123—71no—
610C2×#123—71no—
611C2×#121—71no—
612C2×#121—71no—
613C2×#121—71no—
614C2×#120—71no—
615C2×#120—71no—
616C2×#120—71no—
617C2×C4×Q8C2×D711yescharacteristic, complemented
618C2×C4×D4—71no—
619C2×C4×D4—71no—
620C2×C4×D4—71no—
621C2×C4×D4—71no—
622C2×C4×D4—71no—
623C2×C4×D4—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4C2×D711yescharacteristic
627C2×#117—71no—
628C2×#117—71no—
629#400—71no—
630#400—71no—
631#399—71no—
632#399—71no—
633#398—71no—
634#397—71no—
635#397—71no—
636#397—71no—
637#397—71no—
638#397—71no—
639#397—71no—
640#397—71no—
641#396—71no—
642#396—71no—
643#396—71no—
644#396—71no—
645#394—71no—
646#394—71no—
647#394—71no—
648#394—71no—
649#394—71no—
650#394—71no—
651#394—71no—
652#393—71no—
653#393—71no—
654#392—71no—
655#392—71no—
656#392—71no—
657#392—71no—
658#392—71no—
659#392—71no—
660#392—71no—
661#391—71no—
662#391C2×D711yescharacteristic, complemented
663#390—71no—
664#390—71no—
665#390—71no—
666#390—71no—
667#390—71no—
668#390—71no—
669#390—71no—
670#390C2×D711yescharacteristic
671#389—71no—
672#389—71no—
673#389—71no—
674#389—71no—
675#389—71no—
676#389—71no—
677#388—71no—
678#388—71no—
679#388—71no—
680#388—71no—
681#388—71no—
682#388—71no—
683#388—71no—
684#388—71no—
685#388—71no—
686#388—71no—
687#388—71no—
688#388—71no—
689#388—71no—
690#388—71no—
691#388—71no—
692#388—71no—
693#388—71no—
694#388—71no—
695#388C2×D711yescharacteristic
696#388C2×D711yescharacteristic
697#388C2×D711yescharacteristic, complemented
698#388C2×D711yescharacteristic, complemented
699#387—71no—
700#387—71no—
701#387—71no—
702#387—71no—
703#387—71no—
704#387—71no—
705#387—71no—
706#387—71no—
707#386—71no—
708#386—71no—
709#386—71no—
710#386—71no—
711#386—71no—
712#386—71no—
713#386—71no—
714#386—71no—
715#386—71no—
716#386—71no—
717#386—71no—
718#386—71no—
719#386—71no—
720#386—71no—
721#386—71no—
722#385—71no—
723#385—71no—
724#385—71no—
725#385—71no—
726#385—71no—
727#385—71no—
728#385—71no—
729#385—71no—
730#385—71no—
731#385—71no—
732#385—71no—
733#385C2×D711yescharacteristic
734#385C2×D711yescharacteristic, complemented
735#383—71no—
736#383—71no—
737#382—71no—
738#379—71no—
739#379—71no—
740#379—71no—
741C4×C4⋊C4—71no—
742C4×C4⋊C4—71no—
743C4×C4⋊C4C2×D711yescharacteristic, complemented
744C4×C4⋊C4C2×D711yescharacteristic, complemented
745C4×C22⋊C4—71no—
746C4×C22⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4C2×D711yescharacteristic
757C4×C22⋊C4C2×D711yescharacteristic, complemented
758C2×#95—71no—
759C23×C7—21no—
760C23×C7—21no—
761C23×C7—21no—
762C23×C7—21no—
763C23×C7—21no—
764C23×C7—21no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7C2×#4112yes—
773C23×C7C2511yescharacteristic
774C22×D7—21no—
775C22×D7—21no—
776C22×D7—21no—
777C22×D7—21no—
778C22×D7—21no—
779C22×D7—21no—
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—44no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7—44no—
806C22×D7C2×#4112yes—
807C22×D7C2×#4112yes—
808C22×D7C2×#4112yes—
809C7×Q8—44no—
810C7×D4—44no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
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—44no—
845C2×C4×C7—82no—
846C2×C4×C7C2×#4112yes—
847C2×C4×C7C2×#4112yes—
848C2×C4×C7C2×#4112yes—
849C2×C4×C7C2×#4112yes—
850C2×C4×C7H(5,𝔽2)12yes—
851C2×C4×C7H(5,𝔽2)12yes—
852C22⋊D7—44no—
853C22⋊D7—44no—
854C22⋊D7—44no—
855C22⋊D7—44no—
856C22⋊D7—82no—
857C22⋊D7—82no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
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—44no—
893C2×Dic7C2×#4112yes—
894C2×Dic7H(5,𝔽2)12yes—
895D28—44no—
896D28—44no—
897D28—44no—
898D28—44no—
899D28—82no—
900C4×D7—44no—
901C4×D7—44no—
902C4×D7—44no—
903C4×D7—44no—
904C4×D7—44no—
905C4×D7—44no—
906C4×D7—82no—
907C4×D7—82no—
908C25—71no—
909C22×Q8C22×D711yescharacteristic
910C22×D4—71no—
911C22×D4—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C22×D4—71no—
919C22×D4—71no—
920C22×D4—71no—
921C22×D4C22×D711yescharacteristic
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—282no—
932C23×C4—282no—
933C23×C4—282no—
934C23×C4C22×D711yescharacteristic
935C23×C4C22×D711yescharacteristic
936#124—24no—
937#124—144no—
938#123—144no—
939#123—144no—
940#123—282no—
941#123—282no—
942#121—144no—
943#121—144no—
944#121—282no—
945#120—144no—
946#120—144no—
947#120—144no—
948C4×Q8—42no—
949C4×D4—42no—
950C4×D4—282no—
951C4×D4—282no—
952C4×D4—282no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958#117—282no—
959#117—282no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—71no—
979C2×C4⋊C4C22×D711yescharacteristic
980C2×C4⋊C4C22×D711yescharacteristic
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C22⋊C4—71no—
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4C22×D711yescharacteristic
1028C2×C22⋊C4C22×D711yescharacteristic
1029C2×C22⋊C4C22×D711yescharacteristic
1030C2×C22⋊C4C22×D711yescharacteristic
1031C2×C22⋊C4C22×D711yescharacteristic
1032C2×C22⋊C4C22×D711yescharacteristic
1033C2×C22⋊C4C22×D711yescharacteristic
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42C22×D711yescharacteristic
1046C2×C42C22×D711yescharacteristic
1047C2×C42C22×D711yescharacteristic
1048C2×C42C22×D711yescharacteristic
1049C2×C42C22×D711yescharacteristic
1050C2×C42C22×D711yescharacteristic
1051C2×C42C22×D711yescharacteristic
1052#95—71no—
1053#95—71no—
1054#95—71no—
1055#95—71no—
1056#95—71no—
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95C22×D711yescharacteristic
1083#95C22×D711yescharacteristic
1084#95C22×D711yescharacteristic
1085#95C22×D711yescharacteristic
1086#95C22×D711yescharacteristic
1087#95C22×D711yescharacteristic
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090C22×C7—22no—
1091C22×C7—22no—
1092C22×C7—22no—
1093C22×C7—41no—
1094C22×C7—41no—
1095C22×C7—41no—
1096C22×C7—41no—
1097C22×C7—41no—
1098C22×C7—41no—
1099C22×C7—41no—
1100C22×C7—41no—
1101C22×C7—41no—
1102C22×C7—41no—
1103C22×C7—41no—
1104C22×C7C22×#4111yescharacteristic
1105C22×C7C22×#4111yescharacteristic
1106C22×C7C22×#4111yescharacteristic
1107C22×C7C2×H(5,𝔽2)11yescharacteristic
1108C22×C7C2×H(5,𝔽2)11yescharacteristic
1109C22×C7C2×H(5,𝔽2)11yescharacteristic
1110C22×C7#58511yescharacteristic
1111C2×D7—22no—
1112C2×D7—22no—
1113C2×D7—22no—
1114C2×D7—22no—
1115C2×D7—22no—
1116C2×D7—22no—
1117C2×D7—22no—
1118C2×D7—22no—
1119C2×D7—22no—
1120C2×D7—416no—
1121C2×D7—41no—
1122C2×D7—41no—
1123C2×D7—41no—
1124C2×D7—41no—
1125C2×D7—41no—
1126C2×D7—41no—
1127C2×D7—41no—
1128C2×D7—41no—
1129C2×D7—41no—
1130C2×D7—41no—
1131C2×D7—41no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C4×C7—22no—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—22no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153Dic7—22no—
1154Dic7—22no—
1155Dic7—41no—
1156Dic7—41no—
1157Dic7—41no—
1158Dic7—41no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165C24—71no—
1166C24—71no—
1167C24—71no—
1168C24—71no—
1169C24—142no—
1170C24—142no—
1171C24—142no—
1172C24—281no—
1173C24—281no—
1174C24—281no—
1175C24—281no—
1176C24C23×D711yescharacteristic
1177C24C23×D711yescharacteristic
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—41no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—41no—
1184C2×D4—74no—
1185C2×D4—142no—
1186C2×D4—142no—
1187C2×D4—142no—
1188C2×D4—142no—
1189C2×D4—142no—
1190C2×D4—142no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—142no—
1194C2×D4—142no—
1195C2×D4—142no—
1196C2×D4—142no—
1197C2×D4—142no—
1198C2×D4—142no—
1199C2×D4—281no—
1200C2×D4—281no—
1201C2×D4—281no—
1202C2×D4—281no—
1203C2×D4—281no—
1204C2×D4—281no—
1205C2×D4—281no—
1206C2×D4—281no—
1207C2×D4—281no—
1208C2×D4—281no—
1209C2×D4—281no—
1210C2×D4—281no—
1211C2×D4—281no—
1212C2×D4—281no—
1213C2×D4—281no—
1214C2×D4—281no—
1215C2×D4—281no—
1216C2×D4—281no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—71no—
1231C22×C4—71no—
1232C22×C4—71no—
1233C22×C4—71no—
1234C22×C4—71no—
1235C22×C4—142no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—142no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—142no—
1242C22×C4—142no—
1243C22×C4—142no—
1244C22×C4—142no—
1245C22×C4—142no—
1246C22×C4—142no—
1247C22×C4—142no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—2816no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4C23×D711yescharacteristic
1264C22×C4C23×D711yescharacteristic
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—41no—
1282C4⋊C4—142no—
1283C4⋊C4—142no—
1284C4⋊C4—142no—
1285C4⋊C4—142no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—281no—
1290C4⋊C4—281no—
1291C4⋊C4—281no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—74no—
1311C22⋊C4—142no—
1312C22⋊C4—142no—
1313C22⋊C4—142no—
1314C22⋊C4—142no—
1315C22⋊C4—142no—
1316C22⋊C4—142no—
1317C22⋊C4—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4—281no—
1338C22⋊C4—281no—
1339C22⋊C4—281no—
1340C22⋊C4—281no—
1341C22⋊C4—281no—
1342C22⋊C4—281no—
1343C22⋊C4—281no—
1344C22⋊C4—281no—
1345C22⋊C4—281no—
1346C22⋊C4—281no—
1347C22⋊C4—281no—
1348C22⋊C4—281no—
1349C22⋊C4—281no—
1350C22⋊C4—281no—
1351C22⋊C4—281no—
1352C22⋊C4#115714yes—
1353C42—22no—
1354C42—22no—
1355C42—41no—
1356C42—41no—
1357C42—41no—
1358C42—41no—
1359C42—41no—
1360C42—142no—
1361C42—142no—
1362C42—142no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C42—281no—
1367C42—281no—
1368C2×C7—42no—
1369C2×C7—81no—
1370C2×C7#348111yescharacteristic
1371C2×C7#348111yescharacteristic
1372C2×C7#348111yescharacteristic
1373C2×C7#350511yescharacteristic
1374C2×C7#350611yescharacteristic
1375C2×C7#350611yescharacteristic
1376C2×C7#353211yescharacteristic
1377D7—42no—
1378D7—42no—
1379D7—42no—
1380D7—81no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—72no—
1395C23—72no—
1396C23—72no—
1397C23—141no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23—141no—
1417C23—141no—
1418C23—141no—
1419C23—141no—
1420C23—141no—
1421C23—141no—
1422C23—284no—
1423C23—284no—
1424C23—284no—
1425C23—284no—
1426C23—284no—
1427C23—284no—
1428C23—284no—
1429C23C2×#115712yes—
1430C23C24×D711yescharacteristic
1431Q8—44no—
1432D4—44no—
1433D4—284no—
1434D4—284no—
1435D4—284no—
1436D4—284no—
1437D4—284no—
1438D4—284no—
1439D4—284no—
1440D4—284no—
1441D4—562no—
1442D4—562no—
1443D4—562no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—44no—
1478C2×C4—72no—
1479C2×C4—72no—
1480C2×C4—82no—
1481C2×C4—141no—
1482C2×C4—141no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—141no—
1512C2×C4—141no—
1513C2×C4—141no—
1514C2×C4—141no—
1515C2×C4—284no—
1516C2×C4—284no—
1517C2×C4—284no—
1518C2×C4—284no—
1519C2×C4—284no—
1520C2×C4—284no—
1521C2×C4—284no—
1522C2×C4—562no—
1523C2×C4—562no—
1524C2×C4C2×#115712yes—
1525C2×C4C2×#115712yes—
1526C2×C4#654812yes—
1527C2×C4D7×#4112yes—
1528C2×C4D7×#4112yes—
1529C2×C4#655312yes—
1530C7#6003311yescharacteristic, complemented, Sylow
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—142no—
1546C22—142no—
1547C22—142no—
1548C22—142no—
1549C22—142no—
1550C22—142no—
1551C22—142no—
1552C22—142no—
1553C22—142no—
1554C22—2816no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—281no—
1560C22—281no—
1561C22—281no—
1562C22—281no—
1563C22—281no—
1564C22—281no—
1565C22—281no—
1566C22—281no—
1567C22—281no—
1568C22—281no—
1569C22—281no—
1570C22—281no—
1571C22—281no—
1572C22—281no—
1573C22—281no—
1574C22C22×#115711yescharacteristic
1575C22C2×#654811yescharacteristic
1576C22C2×D7×#4111yescharacteristic
1577C22C2×D7×#4111yescharacteristic
1578C22C2×#655311yescharacteristic
1579C22D7×H(5,𝔽2)11yescharacteristic
1580C22#9062011yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—142no—
1595C4—142no—
1596C4—281no—
1597C4—281no—
1598C4—281no—
1599C4—281no—
1600C4—281no—
1601C4—281no—
1602C4—281no—
1603C4—281no—
1604C4—281no—
1605C4—281no—
1606C2—42no—
1607C2—81no—
1608C2—282no—
1609C2—282no—
1610C2—282no—
1611C2—561no—
1612C2#1174285311yescharacteristic
1613C2#1174291111yescharacteristic
1614C2#1174295911yescharacteristic
1615C2#1174373511yescharacteristic
1616C2#1174380611yescharacteristic
1617C2#1174407311yescharacteristic
1618C2#1174411811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2367C2
hypercenter#2367D7
hypocenterC7#60033
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2367

Complements

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

NH ≅ G/Ntype
1. C7×#2367C2semidirect
2. #11740448C2semidirect
3. #11740444C2semidirect
4. #11739946C2semidirect
5. #11739911C2semidirect
6. C4×#6500C2semidirect
7. #11739809C2semidirect
8. #11733984C2semidirect
9. #11733974C2semidirect
10. #11733907C2semidirect
11. #11733815C2semidirect
12. #11733379C2semidirect
13. #11733361C2semidirect
14. #11733340C2semidirect
15. #11733327C2semidirect
16. #11733319C2semidirect
17. #11733086C2semidirect
18. #11733061C2semidirect
19. #11732949C2semidirect
20. #11732056C2semidirect
21. #11732042C2semidirect
22. #11731941C2semidirect
23. #11731824C2semidirect
24. #11731256C2semidirect
25. #11731217C2semidirect
26. #11731187C2semidirect
27. #11731094C2semidirect
28. #11731053C2semidirect
29. C4×#6445C2semidirect
30. #11730970C2semidirect
31. #11730915C2semidirect
34. C2×C4×C7×Q8C22semidirect
38. C2×#6492C22semidirect
46. C2×#6455C22semidirect
48. C2×#6447C22semidirect
50. C2×#6446C22semidirect
56. C2×#6435C22semidirect
57. C7×#391C22semidirect
61. C7×#388C22semidirect
62. C7×#388C22semidirect
64. C7×#385C22semidirect
65. C4×C7×C4⋊C4C22semidirect
66. C4×C7×C4⋊C4C22semidirect
68. C4×C7×C22⋊C4C22semidirect
70. #90003C22semidirect
71. #90002C22semidirect
76. #89985C22semidirect
80. #89765C22semidirect
82. #89764C22semidirect
84. #89762C22semidirect
89. #89761C22semidirect
90. #89761C22semidirect
91. #89761C22semidirect
92. #89757C22semidirect
93. #89756C22semidirect
94. #89753C22semidirect
95. C4⋊C4×Dic7C22semidirect
96. #89744C22semidirect
100. #89733C22semidirect
109. #89729C22semidirect
113. #89728C22semidirect
117. #89725C22semidirect
120. #89723C22semidirect
121. #89723C22semidirect
127. #89717C22semidirect
128. #89717C22semidirect
134. #89712C22semidirect
135. #89712C22semidirect
136. #89712C22semidirect
141. #89711C22semidirect
146. C4×(C2×D7)⋊C4C22semidirect
147. C4×(C2×D7)⋊C4C22semidirect
148. #89708C22semidirect
149. #89705C22semidirect
150. #89705C22semidirect
151. #89705C22semidirect
152. C4×Dic7⋊C4C22semidirect
153. #89700C22semidirect
154. #89700C22semidirect
162. #89442C22semidirect
163. #89441C22semidirect
168. #89438C22semidirect
174. #89437C22semidirect
175. #89437C22semidirect
176. D7×#95C22semidirect
177. #89432C22semidirect
178. #89430C22semidirect
179. #89427C22semidirect
180. #89426C22semidirect
181. #89426C22semidirect
182. #89425C22semidirect
183. #89423C22semidirect
184. #89423C22semidirect
185. #89419C22semidirect
186. #89419C22semidirect
393. #2367D7semidirect
617. C2×C4×Q8C2×D7semidirect
662. #391C2×D7semidirect
697. #388C2×D7semidirect
698. #388C2×D7semidirect
734. #385C2×D7semidirect
743. C4×C4⋊C4C2×D7semidirect
744. C4×C4⋊C4C2×D7semidirect
757. C4×C22⋊C4C2×D7semidirect
1530. C7#60033semidirect

Maximal subgroups

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

subgroupindex
C7×#23672
#117404482
#117404442
#117399462
#117399112
C4×#65002
#117398092
#117339842
#117339742
#117339072
#117338152
#117333792
#117333612
#117333402
#117333272
#117333192
#117330862
#117330612
#117329492
#117320562
#117320422
#117319412
#117318242
#117312562
#117312172
#117311872
#117310942
#117310532
C4×#64452
#117309702
#117309152
#600337