Finite Group Databasebeta

← #13562188

Subgroups — #13562188

Order 1792.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2765C211yesmaximal, characteristic, complemented
2#11735879C211yesmaximal, characteristic, complemented
3#11735875C211yesmaximal, characteristic, complemented
4#11735804C211yesmaximal, characteristic, complemented
5#11735719C211yesmaximal, characteristic, complemented
6#11735420C211yesmaximal, characteristic, complemented
7#11735409C211yesmaximal, characteristic, complemented
8#11735350C211yesmaximal, characteristic, complemented
9#11735187C211yesmaximal, characteristic, complemented
10#11735024C211yesmaximal, characteristic, complemented
11#11734919C211yesmaximal, characteristic
12#11734866C211yesmaximal, characteristic
13#11734818C211yesmaximal, characteristic, complemented
14#11733583C211yesmaximal, characteristic, complemented
15#11733443C211yesmaximal, characteristic, complemented
16#11733367C211yesmaximal, characteristic, complemented
17#11733335C211yesmaximal, characteristic, complemented
18#11733111C211yesmaximal, characteristic, complemented
19#11732985C211yesmaximal, characteristic, complemented
20#11732744C211yesmaximal, characteristic, complemented
21#11732681C211yesmaximal, characteristic, complemented
22#11732622C211yesmaximal, characteristic, complemented
23#11732390C211yesmaximal, characteristic, complemented
24#11732100C211yesmaximal, characteristic, complemented
25#11732085C211yesmaximal, characteristic, complemented
26D7×#385C211yesmaximal, characteristic, complemented
27#11731978C211yesmaximal, characteristic, complemented
28#11731678C211yesmaximal, characteristic, complemented
29#11731649C211yesmaximal, characteristic, complemented
30#11731591C211yesmaximal, characteristic
31#11731556C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×#6492C2211yescharacteristic
34C2×#6459C2211yescharacteristic
35C2×#6459C2211yescharacteristic
36C2×#6459C2211yescharacteristic
37C2×#6459C2211yescharacteristic
38C2×#6459C2211yescharacteristic, complemented
39C2×#6457C2211yescharacteristic
40C2×#6456C2211yescharacteristic
41C2×D7×C4⋊C4C2211yescharacteristic
42C2×D7×C4⋊C4C2211yescharacteristic
43C2×#6449C2211yescharacteristic
44C2×#6448C2211yescharacteristic
45C2×#6445C2211yescharacteristic
46C2×D7×C22⋊C4C2211yescharacteristic
47C2×D7×C22⋊C4C2211yescharacteristic
48C2×#6442C2211yescharacteristic
49C2×#6441C2211yescharacteristic
50C2×#6432C2211yescharacteristic, complemented
51C7×#401C2211yescharacteristic, complemented
52C7×#400C2211yescharacteristic, complemented
53C7×#398C2211yescharacteristic, complemented
54C7×#398C2211yescharacteristic, complemented
55C7×#397C2211yescharacteristic
56C7×#396C2211yescharacteristic
57C7×#389C2211yescharacteristic, complemented
58C7×#388C2211yescharacteristic
59C7×#388C2211yescharacteristic
60C7×#387C2211yescharacteristic, complemented
61C7×#387C2211yescharacteristic, complemented
62C7×#385C2211yescharacteristic
63C7×#385C2211yescharacteristic
64C7×#382C2211yescharacteristic, complemented
65C7×#381C2211yescharacteristic
66#89982C2211yescharacteristic
67#89982C2211yescharacteristic
68#89766C2211yescharacteristic
69#89766C2211yescharacteristic
70#89766C2211yescharacteristic, complemented
71#89766C2211yescharacteristic, complemented
72#89765C2211yescharacteristic, complemented
73#89764C2211yescharacteristic, complemented
74#89763C2211yescharacteristic
75#89762C2211yescharacteristic
76#89762C2211yescharacteristic
77#89761C2211yescharacteristic
78#89761C2211yescharacteristic
79#89761C2211yescharacteristic
80#89761C2211yescharacteristic
81#89760C2211yescharacteristic
82#89759C2211yescharacteristic
83#89759C2211yescharacteristic
84#89759C2211yescharacteristic, complemented
85#89758C2211yescharacteristic, complemented
86#89757C2211yescharacteristic, complemented
87#89756C2211yescharacteristic, complemented
88#89756C2211yescharacteristic, complemented
89#89756C2211yescharacteristic, complemented
90#89755C2211yescharacteristic, complemented
91#89754C2211yescharacteristic, complemented
92#89753C2211yescharacteristic, complemented
93#89751C2211yescharacteristic, complemented
94#89751C2211yescharacteristic, complemented
95#89751C2211yescharacteristic, complemented
96#89750C2211yescharacteristic, complemented
97#89748C2211yescharacteristic, complemented
98#89745C2211yescharacteristic, complemented
99#89733C2211yescharacteristic
100#89731C2211yescharacteristic
101#89728C2211yescharacteristic
102#89727C2211yescharacteristic
103#89727C2211yescharacteristic
104#89727C2211yescharacteristic
105#89725C2211yescharacteristic
106#89725C2211yescharacteristic
107#89724C2211yescharacteristic
108#89722C2211yescharacteristic
109#89719C2211yescharacteristic
110#89718C2211yescharacteristic
111#89717C2211yescharacteristic
112#89717C2211yescharacteristic
113#89717C2211yescharacteristic
114#89715C2211yescharacteristic
115#89714C2211yescharacteristic
116#89712C2211yescharacteristic
117#89712C2211yescharacteristic
118#89712C2211yescharacteristic, complemented
119#89712C2211yescharacteristic, complemented
120C4×(C2×D7)⋊C4C2211yescharacteristic
121C4×(C2×D7)⋊C4C2211yescharacteristic
122#89701C2211yescharacteristic, complemented
123#89449C2211yescharacteristic, complemented
124#89447C2211yescharacteristic
125#89447C2211yescharacteristic, complemented
126#89447C2211yescharacteristic, complemented
127#89446C2211yescharacteristic
128#89445C2211yescharacteristic
129#89445C2211yescharacteristic
130#89445C2211yescharacteristic, complemented
131#89444C2211yescharacteristic
132#89442C2211yescharacteristic
133#89441C2211yescharacteristic
134#89441C2211yescharacteristic, complemented
135#89441C2211yescharacteristic, complemented
136#89440C2211yescharacteristic
137#89440C2211yescharacteristic
138#89440C2211yescharacteristic
139#89440C2211yescharacteristic
140#89440C2211yescharacteristic
141#89440C2211yescharacteristic
142#89440C2211yescharacteristic
143#89440C2211yescharacteristic
144#89440C2211yescharacteristic
145#89440C2211yescharacteristic
146#89439C2211yescharacteristic
147#89439C2211yescharacteristic
148#89439C2211yescharacteristic, complemented
149#89438C2211yescharacteristic
150#89437C2211yescharacteristic
151#89437C2211yescharacteristic
152#89437C2211yescharacteristic
153#89437C2211yescharacteristic
154#89437C2211yescharacteristic
155#89437C2211yescharacteristic
156#89437C2211yescharacteristic
157#89436C2211yescharacteristic
158#89436C2211yescharacteristic
159#89436C2211yescharacteristic
160#89436C2211yescharacteristic, complemented
161D7×#95C2211yescharacteristic
162D7×#95C2211yescharacteristic
163#89432C2211yescharacteristic, complemented
164#89432C2211yescharacteristic, complemented
165#89430C2211yescharacteristic, complemented
166#89430C2211yescharacteristic, complemented
167#89430C2211yescharacteristic, complemented
168#89430C2211yescharacteristic, complemented
169#89429C2211yescharacteristic, complemented
170#89429C2211yescharacteristic, complemented
171#89429C2211yescharacteristic, complemented
172#89429C2211yescharacteristic, complemented
173#89428C2211yescharacteristic, complemented
174#89427C2211yescharacteristic, complemented
175#89427C2211yescharacteristic, complemented
176#89426C2211yescharacteristic, complemented
177#89425C2211yescharacteristic, complemented
178#89424C2211yescharacteristic, complemented
179#89423C2211yescharacteristic, complemented
180#89423C2211yescharacteristic, complemented
181#89422C2211yescharacteristic, complemented
182#89419C2211yescharacteristic, complemented
183#89419C2211yescharacteristic, complemented
184#89418C2211yescharacteristic, complemented
185#89418C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#36778—71nomaximal, Sylow
188C24×D7C2311yescharacteristic
189C23×C4×C7C2311yescharacteristic
190C22×C22⋊D7C2311yescharacteristic
191C23×Dic7C2311yescharacteristic
192C22×D28C2311yescharacteristic
193C22×D28C2311yescharacteristic
194C22×C4×D7—42no—
195C22×C4×D7—42no—
196C22×C4×D7—42no—
197C22×C4×D7C2311yescharacteristic
198C22×C4×D7C2311yescharacteristic
199C22×C4×D7C2311yescharacteristic
200C22×C4×D7C2311yescharacteristic
201C22×C4×D7C2311yescharacteristic
202C22×C4×D7C2311yescharacteristic
203C22×C4×D7C2311yescharacteristic
204C22×C4×D7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×Dic14C2311yescharacteristic
207C22×Dic14C2311yescharacteristic
208C22×Dic14C2311yescharacteristic
209C2×C7×C4⋊C4C2311yescharacteristic
210C2×C7×C4⋊C4C2311yescharacteristic
211C2×C7×C4⋊C4C2311yescharacteristic
212C2×C7×C4⋊C4C2311yescharacteristic
213C2×C7×C4⋊C4C2311yescharacteristic
214C2×C7×C4⋊C4C2311yescharacteristic
215C2×C7×C4⋊C4C2311yescharacteristic
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C22⋊C4C2311yescharacteristic
220C2×C7×C22⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4C2311yescharacteristic
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C42×C7C2311yescharacteristic
226C2×C42×C7C2311yescharacteristic
227C2×C22⋊Dic7C2311yescharacteristic
228C2×C22⋊Dic7C2311yescharacteristic
229C2×C22⋊Dic7C2311yescharacteristic
230C2×C22⋊Dic7C2311yescharacteristic
231C2×C22⋊Dic7C2311yescharacteristic
232#6492—42no—
233C2×(C2×D7)⋊C4C2311yescharacteristic
234C2×(C2×D7)⋊C4C2311yescharacteristic
235C2×(C2×D7)⋊C4C2311yescharacteristic
236C2×(C2×D7)⋊C4C2311yescharacteristic
237C2×(C2×D7)⋊C4C2311yescharacteristic
238C2×(C2×D7)⋊C4C2311yescharacteristic
239C2×(C2×D7)⋊C4C2311yescharacteristic
240C2×(C2×D7)⋊C4C2311yescharacteristic
241C2×(C2×D7)⋊C4C2311yescharacteristic
242C2×(C2×D7)⋊C4C2311yescharacteristic
243C2×(C2×D7)⋊C4C2311yescharacteristic
244C2×(C2×D7)⋊C4C2311yescharacteristic
245C2×(C2×D7)⋊C4C2311yescharacteristic
246C2×(C2×D7)⋊C4C2311yescharacteristic
247C2×(C2×D7)⋊C4C2311yescharacteristic
248C2×(C2×D7)⋊C4C2311yescharacteristic
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
253C2×(C2×D7)⋊C4C2311yescharacteristic
254C2×(C2×D7)⋊C4C2311yescharacteristic
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×C4⋊Dic7C2311yescharacteristic
263C2×C4⋊Dic7C2311yescharacteristic
264C2×C4⋊Dic7C2311yescharacteristic
265C2×C4⋊Dic7C2311yescharacteristic
266C2×C4⋊Dic7C2311yescharacteristic
267C2×C4⋊Dic7C2311yescharacteristic
268C2×C4⋊Dic7C2311yescharacteristic
269C2×C4⋊Dic7C2311yescharacteristic
270C2×C4⋊Dic7C2311yescharacteristic
271C2×Dic7⋊C4C2311yescharacteristic
272C2×Dic7⋊C4C2311yescharacteristic
273C2×Dic7⋊C4C2311yescharacteristic
274C2×Dic7⋊C4C2311yescharacteristic
275C2×Dic7⋊C4C2311yescharacteristic
276C2×Dic7⋊C4C2311yescharacteristic
277C2×Dic7⋊C4C2311yescharacteristic
278C2×Dic7⋊C4C2311yescharacteristic
279C2×Dic7⋊C4C2311yescharacteristic
280C2×Dic7⋊C4C2311yescharacteristic
281C2×Dic7⋊C4C2311yescharacteristic
282C2×Dic7⋊C4C2311yescharacteristic
283C2×Dic7⋊C4C2311yescharacteristic
284C2×Dic7⋊C4C2311yescharacteristic
285C2×Dic7⋊C4C2311yescharacteristic
286C2×Dic7⋊C4C2311yescharacteristic
287C2×Dic7⋊C4C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
289C2×Dic7⋊C4C2311yescharacteristic
290C2×C4×Dic7C2311yescharacteristic
291C2×C4×Dic7C2311yescharacteristic
292C2×C4×Dic7C2311yescharacteristic
293C2×C4×Dic7C2311yescharacteristic
294C2×C4×Dic7C2311yescharacteristic
295#6459—24no—
296#6459—42no—
297#6459—42no—
298#6459—42no—
299#6459—42no—
300#6457—42no—
301#6456—24no—
302D7×C4⋊C4—42no—
303D7×C4⋊C4—42no—
304#6449—42no—
305#6448—42no—
306#6445—42no—
307D7×C22⋊C4—24no—
308D7×C22⋊C4—42no—
309#6442—42no—
310#6441—42no—
311#6432—42no—
312C7×#95C2311yescharacteristic
313C7×#95C2311yescharacteristic
314C7×#95C2311yescharacteristic
315C7×#95C2311yescharacteristic
316C7×#95C2311yescharacteristic
317C7×#95C2311yescharacteristic
318C7×#95C2311yescharacteristic
319C7×#95C2311yescharacteristic
320C7×#95C2311yescharacteristic
321C7×#95C2311yescharacteristic
322C7×#95C2311yescharacteristic
323C7×#95C2311yescharacteristic
324C7×#95C2311yescharacteristic
325C7×#95C2311yescharacteristic
326C7×#95C2311yescharacteristic
327C7×#95C2311yescharacteristic
328C7⋊#95C2311yescharacteristic
329C7⋊#95C2311yescharacteristic
330C7⋊#95C2311yescharacteristic
331C7⋊#95C2311yescharacteristic
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
364#2849—71no—
365#2848—71no—
366#2790—71no—
367#2779—71no—
368#2770—71no—
369#2765D711yescharacteristic, complemented
370#2764—71no—
371#2763—71no—
372#2757—71no—
373#2746—71no—
374#2739—71no—
375#2729—71no—
376#2718—71no—
377#2717—71no—
378#2698—71no—
379#2692—71no—
380#2687—71no—
381#2674—71no—
382#2627—71no—
383#2623—71no—
384#2561—71no—
385#2534—71no—
386#2493—71no—
387#2488—71no—
388#2480—71no—
389#2472—71no—
390#2440—71no—
391#2417—71no—
392#2329—71no—
393#2318—71no—
394C2×#385—71no—
395C24×C7C2411yescharacteristic
396C23×D7—22no—
397C23×D7—22no—
398C23×D7—22no—
399C23×D7—22no—
400C23×D7—22no—
401C23×D7—41no—
402C23×D7—41no—
403C23×D7C2411yescharacteristic
404C23×D7C2411yescharacteristic
405C23×D7C2411yescharacteristic
406C22×C4×C7—22no—
407C22×C4×C7—41no—
408C22×C4×C7—41no—
409C22×C4×C7C2411yescharacteristic
410C22×C4×C7C2411yescharacteristic
411C22×C4×C7C2411yescharacteristic
412C22×C4×C7C2411yescharacteristic
413C22×C4×C7C2411yescharacteristic
414C22×C4×C7C2411yescharacteristic
415C22×C4×C7C2411yescharacteristic
416C22×C4×C7C2411yescharacteristic
417C22×C4×C7C2411yescharacteristic
418C22×C4×C7C2411yescharacteristic
419C22×C4×C7C2411yescharacteristic
420C22×C4×C7C2411yescharacteristic
421C22×C4×C7C2411yescharacteristic
422C22×C4×C7C2411yescharacteristic
423C2×C22⋊D7—22no—
424C2×C22⋊D7—41no—
425C2×C22⋊D7—41no—
426C22×Dic7—22no—
427C22×Dic7—22no—
428C22×Dic7—41no—
429C22×Dic7C2411yescharacteristic
430C22×Dic7C2411yescharacteristic
431C22×Dic7C2411yescharacteristic
432C22×Dic7C2411yescharacteristic
433C22×Dic7C2411yescharacteristic
434C22×Dic7C2411yescharacteristic
435C22×Dic7C2411yescharacteristic
436C22×Dic7C2411yescharacteristic
437C22×Dic7C2411yescharacteristic
438C22×Dic7C2411yescharacteristic
439C22×Dic7C2411yescharacteristic
440C22×Dic7C2411yescharacteristic
441C22×Dic7C2411yescharacteristic
442C2×D28—22no—
443C2×D28—22no—
444C2×D28—22no—
445C2×D28—22no—
446C2×D28—41no—
447C2×D28—41no—
448C2×C4×D7—22no—
449C2×C4×D7—22no—
450C2×C4×D7—22no—
451C2×C4×D7—22no—
452C2×C4×D7—22no—
453C2×C4×D7—22no—
454C2×C4×D7—22no—
455C2×C4×D7—22no—
456C2×C4×D7—22no—
457C2×C4×D7—22no—
458C2×C4×D7—41no—
459C2×C4×D7—41no—
460C2×C4×D7—41no—
461C2×C4×D7—41no—
462C2×C4×D7—41no—
463C2×C4×D7—41no—
464C2×C4×D7—41no—
465C2×C4×D7—41no—
466C2×C4×D7—41no—
467C2×C4×D7—41no—
468C2×C4×D7—416no—
469C2×C4×D7—41no—
470C2×C4×D7—41no—
471C2×C4×D7—41no—
472C2×C4×D7—41no—
473C2×C4×D7—41no—
474C2×C4×D7—41no—
475C2×C4×D7#4114yes—
476C2×Dic14—22no—
477C2×Dic14—22no—
478C2×Dic14—41no—
479C2×Dic14—41no—
480C2×Dic14—41no—
481C2×Dic14—41no—
482C2×Dic14—41no—
483C2×Dic14—41no—
484C2×Dic14—41no—
485C7×C4⋊C4—22no—
486C7×C4⋊C4—22no—
487C7×C4⋊C4—41no—
488C7×C4⋊C4—41no—
489C7×C4⋊C4—41no—
490C7×C4⋊C4—41no—
491C7×C4⋊C4—41no—
492C7×C4⋊C4—41no—
493C7×C4⋊C4—41no—
494C7×C4⋊C4—41no—
495C7×C22⋊C4—22no—
496C7×C22⋊C4—22no—
497C7×C22⋊C4—22no—
498C7×C22⋊C4—41no—
499C7×C22⋊C4—41no—
500C7×C22⋊C4—41no—
501C42×C7—41no—
502C42×C7—41no—
503C22⋊Dic7—22no—
504C22⋊Dic7—22no—
505C22⋊Dic7—22no—
506C22⋊Dic7—22no—
507C22⋊Dic7—41no—
508(C2×D7)⋊C4—22no—
509(C2×D7)⋊C4—22no—
510(C2×D7)⋊C4—22no—
511(C2×D7)⋊C4—22no—
512(C2×D7)⋊C4—22no—
513(C2×D7)⋊C4—22no—
514(C2×D7)⋊C4—22no—
515(C2×D7)⋊C4—22no—
516(C2×D7)⋊C4—22no—
517(C2×D7)⋊C4—22no—
518(C2×D7)⋊C4—22no—
519(C2×D7)⋊C4—22no—
520(C2×D7)⋊C4—22no—
521(C2×D7)⋊C4—22no—
522(C2×D7)⋊C4—41no—
523(C2×D7)⋊C4—41no—
524(C2×D7)⋊C4—41no—
525(C2×D7)⋊C4—41no—
526(C2×D7)⋊C4—41no—
527(C2×D7)⋊C4—41no—
528(C2×D7)⋊C4—41no—
529(C2×D7)⋊C4—41no—
530(C2×D7)⋊C4—41no—
531(C2×D7)⋊C4—41no—
532(C2×D7)⋊C4—41no—
533(C2×D7)⋊C4—41no—
534(C2×D7)⋊C4—41no—
535(C2×D7)⋊C4—41no—
536(C2×D7)⋊C4—41no—
537C4⋊Dic7—22no—
538C4⋊Dic7—22no—
539C4⋊Dic7—41no—
540C4⋊Dic7—41no—
541C4⋊Dic7—41no—
542C4⋊Dic7—41no—
543C4⋊Dic7—41no—
544C4⋊Dic7—41no—
545C4⋊Dic7—41no—
546Dic7⋊C4—22no—
547Dic7⋊C4—22no—
548Dic7⋊C4—22no—
549Dic7⋊C4—22no—
550Dic7⋊C4—41no—
551Dic7⋊C4—41no—
552Dic7⋊C4—41no—
553Dic7⋊C4—41no—
554Dic7⋊C4—41no—
555Dic7⋊C4—41no—
556Dic7⋊C4—41no—
557Dic7⋊C4—41no—
558Dic7⋊C4—41no—
559Dic7⋊C4—41no—
560Dic7⋊C4—41no—
561Dic7⋊C4—41no—
562Dic7⋊C4—41no—
563Dic7⋊C4—41no—
564Dic7⋊C4—41no—
565C4×Dic7—22no—
566C4×Dic7—41no—
567C4×Dic7—41no—
568C4×Dic7—41no—
569C4×Dic7—41no—
570C24×C4—71no—
571C2×C4⋊Q8—71no—
572C2×#126—71no—
573C2×#124—71no—
574C2×#123—71no—
575C2×#123—71no—
576C2×#123—71no—
577C2×C22⋊Q8—71no—
578C2×C22⋊Q8—71no—
579C2×C22⋊Q8—71no—
580C2×C22⋊Q8—71no—
581C2×C22⋊Q8—71no—
582C2×C22⋊Q8—71no—
583C2×#120—71no—
584C2×C4×D4—71no—
585C22×C4⋊C4—71no—
586C22×C4⋊C4—71no—
587C22×C22⋊C4—71no—
588C22×C22⋊C4—71no—
589#401C2×D711yescharacteristic, complemented
590#400—71no—
591#400—71no—
592#400—71no—
593#400—71no—
594#400—71no—
595#400—71no—
596#400—71no—
597#400—71no—
598#400C2×D711yescharacteristic, complemented
599#399—71no—
600#399—71no—
601#398—71no—
602#398—71no—
603#398—71no—
604#398—71no—
605#398—71no—
606#398—71no—
607#398—71no—
608#398—71no—
609#398C2×D711yescharacteristic, complemented
610#398C2×D711yescharacteristic, complemented
611#397—71no—
612#397—71no—
613#397—71no—
614#397—71no—
615#397—71no—
616#397—71no—
617#397—71no—
618#397—71no—
619#397C2×D711yescharacteristic
620#396—71no—
621#396—71no—
622#396—71no—
623#396—71no—
624#396C2×D711yescharacteristic
625#395—71no—
626#395—71no—
627#395—71no—
628#395—71no—
629#394—71no—
630#394—71no—
631#394—71no—
632#394—71no—
633#393—71no—
634#393—71no—
635#393—71no—
636#393—71no—
637#391—71no—
638#391—71no—
639#391—71no—
640#391—71no—
641#390—71no—
642#389—71no—
643#389—71no—
644#389—71no—
645#389—71no—
646#389C2×D711yescharacteristic, complemented
647#388—71no—
648#388—71no—
649#388—71no—
650#388—71no—
651#388—71no—
652#388—71no—
653#388—71no—
654#388—71no—
655#388—71no—
656#388—71no—
657#388—71no—
658#388—71no—
659#388—71no—
660#388C2×D711yescharacteristic
661#388C2×D711yescharacteristic
662#387—71no—
663#387—71no—
664#387—71no—
665#387—71no—
666#387—71no—
667#387—71no—
668#387—71no—
669#387C2×D711yescharacteristic, complemented
670#387C2×D711yescharacteristic, complemented
671#386—71no—
672#386—71no—
673#386—71no—
674#386—71no—
675#386—71no—
676#386—71no—
677#386—71no—
678#386—71no—
679#385—71no—
680#385—71no—
681#385—71no—
682#385—71no—
683#385—71no—
684#385—71no—
685#385—71no—
686#385—71no—
687#385—71no—
688#385—71no—
689#385—71no—
690#385—71no—
691#385—71no—
692#385—71no—
693#385—71no—
694#385—71no—
695#385—71no—
696#385—71no—
697#385C2×D711yescharacteristic
698#385C2×D711yescharacteristic
699#384—71no—
700#383—71no—
701#383—71no—
702#382—71no—
703#382C2×D711yescharacteristic, complemented
704#381—71no—
705#381—71no—
706#381—71no—
707#381—71no—
708#381—71no—
709#381C2×D711yescharacteristic
710#380—71no—
711#380—71no—
712#380—71no—
713#380—71no—
714#380—71no—
715#380—71no—
716#380—71no—
717#379—71no—
718#379—71no—
719#379—71no—
720C4×C22⋊C4—71no—
721C4×C22⋊C4—71no—
722C4×C22⋊C4—71no—
723C2×#95—71no—
724C2×#95—71no—
725C23×C7—21no—
726C23×C7—21no—
727C23×C7—21no—
728C23×C7—21no—
729C23×C7—21no—
730C23×C7—21no—
731C23×C7H(5,𝔽2)12yes—
732C23×C7C2511yescharacteristic
733C22×D7—21no—
734C22×D7—21no—
735C22×D7—21no—
736C22×D7—21no—
737C22×D7—28no—
738C22×D7—21no—
739C22×D7—21no—
740C22×D7—21no—
741C22×D7—21no—
742C22×D7—21no—
743C22×D7—21no—
744C22×D7—21no—
745C22×D7—21no—
746C22×D7—21no—
747C22×D7—21no—
748C22×D7—21no—
749C22×D7—21no—
750C22×D7—21no—
751C22×D7—44no—
752C22×D7—44no—
753C22×D7—44no—
754C22×D7—44no—
755C22×D7—44no—
756C22×D7—44no—
757C22×D7C2×#4112yes—
758C22×D7H(5,𝔽2)12yes—
759C22×D72−1+412yes—
760C22×D72−1+412yes—
761C2×C4×C7—21no—
762C2×C4×C7—21no—
763C2×C4×C7—21no—
764C2×C4×C7—21no—
765C2×C4×C7—21no—
766C2×C4×C7—21no—
767C2×C4×C7—21no—
768C2×C4×C7—21no—
769C2×C4×C7—21no—
770C2×C4×C7—21no—
771C2×C4×C7—21no—
772C2×C4×C7—21no—
773C2×C4×C7—21no—
774C2×C4×C7—21no—
775C2×C4×C7—21no—
776C2×C4×C7—21no—
777C2×C4×C7—21no—
778C2×C4×C7—21no—
779C2×C4×C7—21no—
780C2×C4×C7—21no—
781C2×C4×C7—21no—
782C2×C4×C7—21no—
783C2×C4×C7—21no—
784C2×C4×C7—21no—
785C2×C4×C7—21no—
786C2×C4×C7—21no—
787C2×C4×C7—21no—
788C2×C4×C7—21no—
789C2×C4×C7—21no—
790C2×C4×C7—21no—
791C2×C4×C7—21no—
792C2×C4×C7—21no—
793C2×C4×C7—21no—
794C2×C4×C7—21no—
795C2×C4×C7—21no—
796C2×C4×C7—21no—
797C2×C4×C7—21no—
798C2×C4×C7—21no—
799C2×C4×C7—21no—
800C2×C4×C7—21no—
801C2×C4×C7—21no—
802C2×C4×C7—44no—
803C2×C4×C7C2×#4112yes—
804C22⋊D7—82no—
805C2×Dic7—21no—
806C2×Dic7—21no—
807C2×Dic7—21no—
808C2×Dic7—21no—
809C2×Dic7—21no—
810C2×Dic7—21no—
811C2×Dic7—21no—
812C2×Dic7—21no—
813C2×Dic7—21no—
814C2×Dic7—21no—
815C2×Dic7—21no—
816C2×Dic7—21no—
817C2×Dic7—21no—
818C2×Dic7—21no—
819C2×Dic7—21no—
820C2×Dic7—21no—
821C2×Dic7—21no—
822C2×Dic7—21no—
823C2×Dic7—21no—
824C2×Dic7—21no—
825C2×Dic7—21no—
826C2×Dic7—21no—
827C2×Dic7—21no—
828C2×Dic7—21no—
829C2×Dic7—21no—
830C2×Dic7—21no—
831C2×Dic7—21no—
832C2×Dic7—21no—
833C2×Dic7—21no—
834C2×Dic7—21no—
835C2×Dic7—21no—
836C2×Dic7—21no—
837C2×Dic7—21no—
838C2×Dic7—21no—
839C2×Dic7—21no—
840C2×Dic7—21no—
841C2×Dic7—21no—
842C2×Dic7—44no—
843C2×Dic7C2×#4112yes—
844C2×Dic7H(5,𝔽2)12yes—
845D28—44no—
846D28—82no—
847C4×D7—44no—
848C4×D7—44no—
849C4×D7—44no—
850C4×D7—44no—
851C4×D7—44no—
852C4×D7—44no—
853C4×D7—82no—
854C4×D7—82no—
855C4×D7—82no—
856Dic14—82no—
857Dic14—82no—
858Dic14—82no—
859C25—71no—
860C22×Q8—71no—
861C22×Q8—71no—
862C22×Q8—71no—
863C22×D4—71no—
864C22×D4—71no—
865C22×D4—71no—
866C23×C4—71no—
867C23×C4—71no—
868C23×C4—71no—
869C23×C4—71no—
870C23×C4—71no—
871C23×C4—71no—
872C23×C4—71no—
873C23×C4—71no—
874C23×C4—71no—
875C23×C4—71no—
876C23×C4—282no—
877C23×C4—282no—
878C23×C4—282no—
879C23×C4C22×D711yescharacteristic
880C4⋊Q8—282no—
881#126—282no—
882#124—282no—
883#123—282no—
884#123—282no—
885#123—282no—
886C22⋊Q8—144no—
887C22⋊Q8—282no—
888C22⋊Q8—282no—
889C22⋊Q8—282no—
890C22⋊Q8—282no—
891C22⋊Q8—282no—
892#120—282no—
893C4×D4—144no—
894C2×C4⋊C4—71no—
895C2×C4⋊C4—71no—
896C2×C4⋊C4—71no—
897C2×C4⋊C4—71no—
898C2×C4⋊C4—71no—
899C2×C4⋊C4—71no—
900C2×C4⋊C4—71no—
901C2×C4⋊C4—71no—
902C2×C4⋊C4—71no—
903C2×C4⋊C4—71no—
904C2×C4⋊C4—71no—
905C2×C4⋊C4—71no—
906C2×C4⋊C4—71no—
907C2×C4⋊C4—71no—
908C2×C4⋊C4—71no—
909C2×C4⋊C4—71no—
910C2×C4⋊C4—71no—
911C2×C4⋊C4—71no—
912C2×C4⋊C4—71no—
913C2×C4⋊C4—71no—
914C2×C4⋊C4—71no—
915C2×C4⋊C4—71no—
916C2×C4⋊C4—71no—
917C2×C4⋊C4—71no—
918C2×C4⋊C4—71no—
919C2×C4⋊C4—71no—
920C2×C4⋊C4—71no—
921C2×C4⋊C4—71no—
922C2×C4⋊C4—282no—
923C2×C4⋊C4—282no—
924C2×C4⋊C4C22×D711yescharacteristic
925C2×C4⋊C4C22×D711yescharacteristic
926C2×C4⋊C4C22×D711yescharacteristic
927C2×C4⋊C4C22×D711yescharacteristic
928C2×C4⋊C4C22×D711yescharacteristic
929C2×C4⋊C4C22×D711yescharacteristic
930C2×C4⋊C4C22×D711yescharacteristic
931C2×C4⋊C4C22×D711yescharacteristic
932C2×C4⋊C4C22×D711yescharacteristic
933C2×C4⋊C4C22×D711yescharacteristic
934C2×C22⋊C4—71no—
935C2×C22⋊C4—71no—
936C2×C22⋊C4—71no—
937C2×C22⋊C4—71no—
938C2×C22⋊C4—71no—
939C2×C22⋊C4—71no—
940C2×C22⋊C4—71no—
941C2×C22⋊C4—71no—
942C2×C22⋊C4—71no—
943C2×C22⋊C4—71no—
944C2×C22⋊C4—71no—
945C2×C22⋊C4—71no—
946C2×C22⋊C4—71no—
947C2×C22⋊C4—71no—
948C2×C22⋊C4—71no—
949C2×C22⋊C4—71no—
950C2×C22⋊C4—71no—
951C2×C22⋊C4—71no—
952C2×C22⋊C4—71no—
953C2×C22⋊C4—71no—
954C2×C22⋊C4—71no—
955C2×C22⋊C4—71no—
956C2×C22⋊C4—71no—
957C2×C22⋊C4—71no—
958C2×C22⋊C4—71no—
959C2×C22⋊C4—71no—
960C2×C22⋊C4—71no—
961C2×C22⋊C4—71no—
962C2×C22⋊C4—71no—
963C2×C22⋊C4—71no—
964C2×C22⋊C4—71no—
965C2×C22⋊C4—71no—
966C2×C22⋊C4—71no—
967C2×C22⋊C4—71no—
968C2×C22⋊C4—144no—
969C2×C22⋊C4—282no—
970C2×C22⋊C4C22×D711yescharacteristic
971C2×C22⋊C4C22×D711yescharacteristic
972C2×C22⋊C4C22×D711yescharacteristic
973C2×C22⋊C4C22×D711yescharacteristic
974C2×C22⋊C4C22×D711yescharacteristic
975C2×C22⋊C4C22×D711yescharacteristic
976C2×C42—71no—
977C2×C42—71no—
978C2×C42—71no—
979C2×C42—71no—
980C2×C42—71no—
981C2×C42C22×D711yescharacteristic
982C2×C42C22×D711yescharacteristic
983#95—71no—
984#95—71no—
985#95—71no—
986#95—71no—
987#95—71no—
988#95—71no—
989#95—71no—
990#95—71no—
991#95—71no—
992#95—71no—
993#95—71no—
994#95—71no—
995#95—71no—
996#95—71no—
997#95—71no—
998#95—71no—
999#95—71no—
1000#95—71no—
1001#95—71no—
1002#95—71no—
1003#95—71no—
1004#95—71no—
1005#95—71no—
1006#95—71no—
1007#95—71no—
1008#95—71no—
1009#95—71no—
1010#95—71no—
1011#95—71no—
1012#95—71no—
1013#95—71no—
1014#95—71no—
1015#95—71no—
1016#95—71no—
1017#95—71no—
1018#95—71no—
1019#95C22×D711yescharacteristic
1020#95C22×D711yescharacteristic
1021#95C22×D711yescharacteristic
1022#95C22×D711yescharacteristic
1023#95C22×D711yescharacteristic
1024#95C22×D711yescharacteristic
1025#95C22×D711yescharacteristic
1026#95C22×D711yescharacteristic
1027#95C22×D711yescharacteristic
1028#95C22×D711yescharacteristic
1029#95C22×D711yescharacteristic
1030#95C22×D711yescharacteristic
1031#95C22×D711yescharacteristic
1032#95C22×D711yescharacteristic
1033#95C22×D711yescharacteristic
1034#95C22×D711yescharacteristic
1035C22×C7—22no—
1036C22×C7—22no—
1037C22×C7—22no—
1038C22×C7—41no—
1039C22×C7—41no—
1040C22×C7—41no—
1041C22×C7—41no—
1042C22×C7C22×#4111yescharacteristic
1043C22×C7C2×H(5,𝔽2)11yescharacteristic
1044C22×C7C2×H(5,𝔽2)11yescharacteristic
1045C22×C7C2×H(5,𝔽2)11yescharacteristic
1046C22×C7C2×2−1+411yescharacteristic
1047C22×C7C2×2−1+411yescharacteristic
1048C22×C7#58511yescharacteristic
1049C2×D7—22no—
1050C2×D7—22no—
1051C2×D7—22no—
1052C2×D7—22no—
1053C2×D7—22no—
1054C2×D7—22no—
1055C2×D7—22no—
1056C2×D7—22no—
1057C2×D7—22no—
1058C2×D7—416no—
1059C2×D7—41no—
1060C2×D7—41no—
1061C2×D7—41no—
1062C2×D7—41no—
1063C2×D7—41no—
1064C2×D7—41no—
1065C2×D7—41no—
1066C2×D7—41no—
1067C2×D7—41no—
1068C2×D7—41no—
1069C2×D7—41no—
1070C2×D7#54214yes—
1071C4×C7—22no—
1072C4×C7—41no—
1073C4×C7—41no—
1074C4×C7—41no—
1075C4×C7—41no—
1076C4×C7—41no—
1077C4×C7—41no—
1078C4×C7—41no—
1079C4×C7—41no—
1080C4×C7—41no—
1081C4×C7—41no—
1082C4×C7—41no—
1083C4×C7—41no—
1084C4×C7—41no—
1085Dic7—22no—
1086Dic7—22no—
1087Dic7—41no—
1088Dic7—41no—
1089Dic7—41no—
1090Dic7—41no—
1091Dic7—41no—
1092Dic7—41no—
1093Dic7—41no—
1094Dic7—41no—
1095Dic7—41no—
1096Dic7—41no—
1097Dic7—41no—
1098C24—71no—
1099C24—71no—
1100C24—71no—
1101C24—142no—
1102C24—142no—
1103C24—142no—
1104C24—142no—
1105C24—142no—
1106C24—281no—
1107C24—281no—
1108C24C23×D711yescharacteristic
1109C2×Q8—142no—
1110C2×Q8—142no—
1111C2×Q8—281no—
1112C2×Q8—281no—
1113C2×Q8—281no—
1114C2×Q8—281no—
1115C2×Q8—281no—
1116C2×Q8—281no—
1117C2×Q8—281no—
1118C2×D4—142no—
1119C2×D4—142no—
1120C2×D4—142no—
1121C2×D4—142no—
1122C2×D4—142no—
1123C2×D4—281no—
1124C2×D4—281no—
1125C2×D4—281no—
1126C2×D4—281no—
1127C22×C4—22no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—71no—
1131C22×C4—71no—
1132C22×C4—74no—
1133C22×C4—71no—
1134C22×C4—71no—
1135C22×C4—71no—
1136C22×C4—71no—
1137C22×C4—71no—
1138C22×C4—71no—
1139C22×C4—71no—
1140C22×C4—71no—
1141C22×C4—71no—
1142C22×C4—71no—
1143C22×C4—71no—
1144C22×C4—142no—
1145C22×C4—142no—
1146C22×C4—142no—
1147C22×C4—142no—
1148C22×C4—142no—
1149C22×C4—142no—
1150C22×C4—142no—
1151C22×C4—142no—
1152C22×C4—142no—
1153C22×C4—142no—
1154C22×C4—142no—
1155C22×C4—142no—
1156C22×C4—281no—
1157C22×C4—281no—
1158C22×C4—281no—
1159C22×C4—281no—
1160C22×C4—281no—
1161C22×C4—281no—
1162C22×C4—281no—
1163C22×C4—281no—
1164C22×C4—281no—
1165C22×C4—281no—
1166C22×C4—281no—
1167C22×C4—281no—
1168C22×C4—281no—
1169C22×C4—281no—
1170C22×C4—281no—
1171C22×C4—281no—
1172C22×C4—2816no—
1173C22×C4—281no—
1174C22×C4C23×D711yescharacteristic
1175C22×C4C23×D711yescharacteristic
1176C22×C4C23×D711yescharacteristic
1177C22×C4C23×D711yescharacteristic
1178C22×C4C23×D711yescharacteristic
1179C22×C4C23×D711yescharacteristic
1180C22×C4C23×D711yescharacteristic
1181C22×C4C23×D711yescharacteristic
1182C22×C4C23×D711yescharacteristic
1183C22×C4C23×D711yescharacteristic
1184C22×C4C23×D711yescharacteristic
1185C22×C4C23×D711yescharacteristic
1186C22×C4C23×D711yescharacteristic
1187C22×C4C23×D711yescharacteristic
1188C4⋊C4—22no—
1189C4⋊C4—22no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—142no—
1199C4⋊C4—142no—
1200C4⋊C4—142no—
1201C4⋊C4—142no—
1202C4⋊C4—142no—
1203C4⋊C4—142no—
1204C4⋊C4—281no—
1205C4⋊C4—281no—
1206C4⋊C4—281no—
1207C4⋊C4—281no—
1208C4⋊C4—281no—
1209C4⋊C4—281no—
1210C4⋊C4—281no—
1211C4⋊C4—281no—
1212C4⋊C4—281no—
1213C4⋊C4—281no—
1214C4⋊C4—281no—
1215C4⋊C4—281no—
1216C4⋊C4—281no—
1217C4⋊C4—281no—
1218C4⋊C4—281no—
1219C4⋊C4—281no—
1220C4⋊C4—281no—
1221C4⋊C4—281no—
1222C4⋊C4—281no—
1223C4⋊C4—281no—
1224C4⋊C4—281no—
1225C4⋊C4—281no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—142no—
1233C22⋊C4—142no—
1234C22⋊C4—142no—
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—142no—
1249C22⋊C4—142no—
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—281no—
1261C22⋊C4—281no—
1262C22⋊C4—281no—
1263C22⋊C4—281no—
1264C22⋊C4—281no—
1265C22⋊C4—281no—
1266C42—41no—
1267C42—41no—
1268C42—142no—
1269C42—281no—
1270C42—281no—
1271C42—281no—
1272C42—281no—
1273C2×C7—42no—
1274C2×C7C2×#54211yescharacteristic
1275C2×C7#349211yescharacteristic
1276C2×C7#350511yescharacteristic
1277C2×C7#353211yescharacteristic
1278C2×C7#353511yescharacteristic
1279C2×C7#353511yescharacteristic
1280C2×C7#353811yescharacteristic
1281D7—24no—
1282D7—42no—
1283D7—81no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—72no—
1291C23—72no—
1292C23—72no—
1293C23—72no—
1294C23—148no—
1295C23—141no—
1296C23—141no—
1297C23—141no—
1298C23—141no—
1299C23—141no—
1300C23—141no—
1301C23—141no—
1302C23—141no—
1303C23—141no—
1304C23—141no—
1305C23—141no—
1306C23—141no—
1307C23—141no—
1308C23—141no—
1309C23—141no—
1310C23—141no—
1311C23—141no—
1312C23—284no—
1313C23—284no—
1314C23—284no—
1315C23—284no—
1316C23—284no—
1317C23—284no—
1318C23#655312yes—
1319C23C24×D711yescharacteristic
1320Q8—562no—
1321Q8—562no—
1322Q8—562no—
1323D4—284no—
1324D4—562no—
1325D4—562no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—44no—
1368C2×C4—72no—
1369C2×C4—72no—
1370C2×C4—141no—
1371C2×C4—141no—
1372C2×C4—141no—
1373C2×C4—141no—
1374C2×C4—141no—
1375C2×C4—141no—
1376C2×C4—141no—
1377C2×C4—141no—
1378C2×C4—141no—
1379C2×C4—141no—
1380C2×C4—141no—
1381C2×C4—141no—
1382C2×C4—141no—
1383C2×C4—141no—
1384C2×C4—141no—
1385C2×C4—141no—
1386C2×C4—141no—
1387C2×C4—141no—
1388C2×C4—141no—
1389C2×C4—141no—
1390C2×C4—141no—
1391C2×C4—141no—
1392C2×C4—141no—
1393C2×C4—141no—
1394C2×C4—141no—
1395C2×C4—141no—
1396C2×C4—141no—
1397C2×C4—141no—
1398C2×C4—141no—
1399C2×C4—141no—
1400C2×C4—141no—
1401C2×C4—141no—
1402C2×C4—141no—
1403C2×C4—141no—
1404C2×C4—141no—
1405C2×C4—141no—
1406C2×C4—141no—
1407C2×C4—284no—
1408C2×C4—284no—
1409C2×C4—284no—
1410C2×C4—284no—
1411C2×C4—284no—
1412C2×C4—284no—
1413C2×C4—284no—
1414C2×C4—562no—
1415C2×C4—562no—
1416C2×C4—562no—
1417C2×C4D7×#4112yes—
1418C7#3677811yescharacteristic, complemented, Sylow
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—74no—
1427C22—142no—
1428C22—142no—
1429C22—142no—
1430C22—142no—
1431C22—142no—
1432C22—142no—
1433C22—142no—
1434C22—142no—
1435C22—142no—
1436C22—2816no—
1437C22—281no—
1438C22—281no—
1439C22—281no—
1440C22—281no—
1441C22—281no—
1442C22—281no—
1443C22—281no—
1444C22—281no—
1445C22—281no—
1446C22—281no—
1447C22—281no—
1448C22C2×D7×#4111yescharacteristic
1449C22C2×#655311yescharacteristic
1450C22#9061611yescharacteristic
1451C22D7×H(5,𝔽2)11yescharacteristic
1452C22D7×H(5,𝔽2)11yescharacteristic
1453C22D7×2−1+411yescharacteristic
1454C22D7×2−1+411yescharacteristic
1455C4—22no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—142no—
1470C4—142no—
1471C4—281no—
1472C4—281no—
1473C4—281no—
1474C4—281no—
1475C4—281no—
1476C4—281no—
1477C4—281no—
1478C4—281no—
1479C4—281no—
1480C4—281no—
1481C4—281no—
1482C2—42no—
1483C2—144no—
1484C2—282no—
1485C2—561no—
1486C2#1174348611yescharacteristic
1487C2#1174353011yescharacteristic
1488C2D7×#54211yescharacteristic
1489C2#1174391211yescharacteristic
1490C2#1174392811yescharacteristic
1491C2#1174398011yescharacteristic
1492C2#1174418511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2765C2
prime radicalC2×#6445C22
hypercenter#2765D7
hypocenterC7#36778
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2765

Complements

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

NH ≅ G/Ntype
1. C7×#2765C2semidirect
2. #11735879C2semidirect
3. #11735875C2semidirect
4. #11735804C2semidirect
5. #11735719C2semidirect
6. #11735420C2semidirect
7. #11735409C2semidirect
8. #11735350C2semidirect
9. #11735187C2semidirect
10. #11735024C2semidirect
13. #11734818C2semidirect
14. #11733583C2semidirect
15. #11733443C2semidirect
16. #11733367C2semidirect
17. #11733335C2semidirect
18. #11733111C2semidirect
19. #11732985C2semidirect
20. #11732744C2semidirect
21. #11732681C2semidirect
22. #11732622C2semidirect
23. #11732390C2semidirect
24. #11732100C2semidirect
25. #11732085C2semidirect
26. D7×#385C2semidirect
27. #11731978C2semidirect
28. #11731678C2semidirect
29. #11731649C2semidirect
31. #11731556C2semidirect
38. C2×#6459C22semidirect
50. C2×#6432C22semidirect
51. C7×#401C22semidirect
52. C7×#400C22semidirect
53. C7×#398C22semidirect
54. C7×#398C22semidirect
57. C7×#389C22semidirect
60. C7×#387C22semidirect
61. C7×#387C22semidirect
64. C7×#382C22semidirect
70. #89766C22semidirect
71. #89766C22semidirect
72. #89765C22semidirect
73. #89764C22semidirect
84. #89759C22semidirect
85. #89758C22semidirect
86. #89757C22semidirect
87. #89756C22semidirect
88. #89756C22semidirect
89. #89756C22semidirect
90. #89755C22semidirect
91. #89754C22semidirect
92. #89753C22semidirect
93. #89751C22semidirect
94. #89751C22semidirect
95. #89751C22semidirect
96. #89750C22semidirect
97. #89748C22semidirect
98. #89745C22semidirect
118. #89712C22semidirect
119. #89712C22semidirect
122. #89701C22semidirect
123. #89449C22semidirect
125. #89447C22semidirect
126. #89447C22semidirect
130. #89445C22semidirect
134. #89441C22semidirect
135. #89441C22semidirect
148. #89439C22semidirect
160. #89436C22semidirect
163. #89432C22semidirect
164. #89432C22semidirect
165. #89430C22semidirect
166. #89430C22semidirect
167. #89430C22semidirect
168. #89430C22semidirect
169. #89429C22semidirect
170. #89429C22semidirect
171. #89429C22semidirect
172. #89429C22semidirect
173. #89428C22semidirect
174. #89427C22semidirect
175. #89427C22semidirect
176. #89426C22semidirect
177. #89425C22semidirect
178. #89424C22semidirect
179. #89423C22semidirect
180. #89423C22semidirect
181. #89422C22semidirect
182. #89419C22semidirect
183. #89419C22semidirect
184. #89418C22semidirect
185. #89418C22semidirect
186. #89418C22semidirect
369. #2765D7semidirect
589. #401C2×D7semidirect
598. #400C2×D7semidirect
609. #398C2×D7semidirect
610. #398C2×D7semidirect
646. #389C2×D7semidirect
669. #387C2×D7semidirect
670. #387C2×D7semidirect
703. #382C2×D7semidirect
1418. C7#36778semidirect

Maximal subgroups

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

subgroupindex
C7×#27652
#117358792
#117358752
#117358042
#117357192
#117354202
#117354092
#117353502
#117351872
#117350242
#117349192
#117348662
#117348182
#117335832
#117334432
#117333672
#117333352
#117331112
#117329852
#117327442
#117326812
#117326222
#117323902
#117321002
#117320852
D7×#3852
#117319782
#117316782
#117316492
#117315912
#117315562
#367787