Finite Group Databasebeta

← #14249558

Subgroups — #14249558

Order 1792.

1974 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11743900C211yesmaximal, characteristic, complemented
2#11743742C211yesmaximal, characteristic
3C7×#3343C211yesmaximal, characteristic, complemented
4#11741044C211yesmaximal, characteristic, complemented
5#11740963C211yesmaximal, characteristic, complemented
6#11739424C211yesmaximal, characteristic, complemented
7#11739411C211yesmaximal, characteristic, complemented
8#11738926C211yesmaximal, characteristic, complemented
9#11738899C211yesmaximal, characteristic, complemented
10#11738869C211yesmaximal, characteristic, complemented
11#11738857C211yesmaximal, characteristic, complemented
12#11738848C211yesmaximal, characteristic, complemented
13#11738803C211yesmaximal, characteristic, complemented
14#11738748C211yesmaximal, characteristic, complemented
15#11738719C211yesmaximal, characteristic, complemented
16#11738611C211yesmaximal, characteristic, complemented
17#11738598C211yesmaximal, characteristic, complemented
18#11738548C211yesmaximal, characteristic, complemented
19#11738543C211yesmaximal, characteristic, complemented
20#11738286C211yesmaximal, characteristic, complemented
21#11738239C211yesmaximal, characteristic, complemented
22#11738130C211yesmaximal, characteristic, complemented
23#11738085C211yesmaximal, characteristic, complemented
24#11737224C211yesmaximal, characteristic, complemented
25#11737197C211yesmaximal, characteristic, complemented
26#11736946C211yesmaximal, characteristic, complemented
27#11736906C211yesmaximal, characteristic, complemented
28#11736684C211yesmaximal, characteristic, complemented
29#11736679C211yesmaximal, characteristic, complemented
30C2×#89662C211yesmaximal, characteristic, complemented
31#11736603C211yesmaximal, characteristic, complemented
32C2×D7×#41—21no—
33C7×#552C2211yescharacteristic, complemented
34C7×#547C2211yescharacteristic
35#90520—21no—
36#90418C2211yescharacteristic
37#90416C2211yescharacteristic
38#90393—21no—
39#90392—21no—
40#90387—21no—
41#90379C2211yescharacteristic, complemented
42#90376—21no—
43#90376C2211yescharacteristic, complemented
44#90347—21no—
45#90347—21no—
46#90345—21no—
47#90345—21no—
48#90341—21no—
49#90339—21no—
50#90333C2211yescharacteristic, complemented
51#90332C2211yescharacteristic, complemented
52#90324—21no—
53#90318—21no—
54#90313C2211yescharacteristic, complemented
55#90313C2211yescharacteristic, complemented
56#90300C2211yescharacteristic
57#90300C2211yescharacteristic
58#90287C2211yescharacteristic
59#90287C2211yescharacteristic
60#90269C2211yescharacteristic, complemented
61#90260C2211yescharacteristic, complemented
62#90244C2211yescharacteristic
63D4×D28C2211yescharacteristic
64C4×D4×D7C2211yescharacteristic
65#90232C2211yescharacteristic, complemented
66C4×#1159C2211yescharacteristic
67#90224C2211yescharacteristic, complemented
68#90222—21no—
69#90208C2211yescharacteristic, complemented
70#90207—21no—
71#90204C2211yescharacteristic, complemented
72#90198C2211yescharacteristic
73#90198C2211yescharacteristic
74C2×#6456C2211yescharacteristic
75C2×#6456C2211yescharacteristic
76C2×#6451C2211yescharacteristic, complemented
77C7×#501C2211yescharacteristic, complemented
78C7×#484C2211yescharacteristic, complemented
79C7×#483C2211yescharacteristic, complemented
80C7×#482C2211yescharacteristic, complemented
81C7×#480C2211yescharacteristic, complemented
82C7×#478C2211yescharacteristic, complemented
83C7×#477C2211yescharacteristic, complemented
84C7×#468C2211yescharacteristic, complemented
85C7×#465C2211yescharacteristic, complemented
86C7×#440C2211yescharacteristic, complemented
87C7×#435C2211yescharacteristic, complemented
88C7×#428C2211yescharacteristic, complemented
89C2×C7×#107C2211yescharacteristic, complemented
90#89941C2211yescharacteristic
91#89935C2211yescharacteristic, complemented
92#89935C2211yescharacteristic, complemented
93#89934C2211yescharacteristic, complemented
94#89906C2211yescharacteristic, complemented
95#89903C2211yescharacteristic
96#89900C2211yescharacteristic, complemented
97#89890C2211yescharacteristic, complemented
98#89886C2211yescharacteristic, complemented
99C2×#6395C2211yescharacteristic
100#89883C2211yescharacteristic, complemented
101C2×Dic7⋊C8C2211yescharacteristic, complemented
102#89863C2211yescharacteristic, complemented
103#89852C2211yescharacteristic, complemented
104#89839C2211yescharacteristic, complemented
105#89838C2211yescharacteristic
106#89821C2211yescharacteristic, complemented
107#89820C2211yescharacteristic, complemented
108#89818C2211yescharacteristic
109#89818C2211yescharacteristic
110#89814C2211yescharacteristic, complemented
111#89813C2211yescharacteristic, complemented
112#89807C2211yescharacteristic, complemented
113#89805C2211yescharacteristic, complemented
114#89799C2211yescharacteristic, complemented
115#89798C2211yescharacteristic
116#89790C2211yescharacteristic, complemented
117#89783C2211yescharacteristic, complemented
118#89781C2211yescharacteristic, complemented
119#89775C2211yescharacteristic, complemented
120#89773C2211yescharacteristic
121#89743C2211yescharacteristic, complemented
122#89742C2211yescharacteristic, complemented
123#89739C2211yescharacteristic, complemented
124C2×#6383C2211yescharacteristic
125#89736C2211yescharacteristic, complemented
126C2×#6381C2211yescharacteristic, complemented
127#89663C2211yescharacteristic
128#89663C2211yescharacteristic, complemented
129#89662C2211yescharacteristic
130#89662C2211yescharacteristic
131#89662C2211yescharacteristic
132#89662C2211yescharacteristic
133#89662C2211yescharacteristic, complemented
134#89662C2211yescharacteristic, complemented
135#89662C2211yescharacteristic, complemented
136#89662C2211yescharacteristic, complemented
137#89662C2211yescharacteristic, complemented
138#89662C2211yescharacteristic, complemented
139#89661C2211yescharacteristic
140#89661C2211yescharacteristic, complemented
141#89658C2211yescharacteristic, complemented
142#89658C2211yescharacteristic, complemented
143#89657C2211yescharacteristic, complemented
144#89657C2211yescharacteristic, complemented
145#89656C2211yescharacteristic, complemented
146#89653C2211yescharacteristic, complemented
147#89648C2211yescharacteristic, complemented
148#89647C2211yescharacteristic, complemented
149#89646C2211yescharacteristic, complemented
150#89646C2211yescharacteristic, complemented
151#89643C2211yescharacteristic
152#89643C2211yescharacteristic, complemented
153#89642C2211yescharacteristic
154#89642C2211yescharacteristic, complemented
155#89642C2211yescharacteristic, complemented
156#89638C2211yescharacteristic, complemented
157#89638C2211yescharacteristic, complemented
158#89633C2211yescharacteristic, complemented
159#89628C2211yescharacteristic, complemented
160#89626C2211yescharacteristic, complemented
161#89624C2211yescharacteristic
162#89624C2211yescharacteristic, complemented
163#89620C2211yescharacteristic, complemented
164#89619C2211yescharacteristic
165#89609C2211yescharacteristic, complemented
166#89600C2211yescharacteristic, complemented
167#89590C2211yescharacteristic
168#89590C2211yescharacteristic, complemented
169#89590C2211yescharacteristic, complemented
170#89589C2211yescharacteristic
171#89589C2211yescharacteristic, complemented
172#89584C2211yescharacteristic, complemented
173#89584C2211yescharacteristic, complemented
174#89581C2211yescharacteristic, complemented
175#89566C2211yescharacteristic, complemented
176#89563C2211yescharacteristic, complemented
177#89560C2211yescharacteristic
178#89560C2211yescharacteristic, complemented
179#89548C2211yescharacteristic
180#89542C2211yescharacteristic
181#89542C2211yescharacteristic
182#89536C2211yescharacteristic, complemented
183#89536C2211yescharacteristic, complemented
184#89534C2211yescharacteristic, complemented
185#89534C2211yescharacteristic, complemented
186#89533C2211yescharacteristic, complemented
187#89532C2211yescharacteristic, complemented
188#89532C2211yescharacteristic, complemented
189#89531C2211yescharacteristic, complemented
190#89531C2211yescharacteristic, complemented
191#89509C2211yescharacteristic, complemented
192#89508C2211yescharacteristic, complemented
193#89503C2211yescharacteristic
194#89503C2211yescharacteristic
195#89502C2211yescharacteristic, complemented
196#89501C2211yescharacteristic, complemented
197#89491C2211yescharacteristic, complemented
198#89490C2211yescharacteristic, complemented
199#89485C2211yescharacteristic, complemented
200#89482C2211yescharacteristic
201#89477C2211yescharacteristic, complemented
202#89473C2211yescharacteristic, complemented
203#62109—71nomaximal, Sylow
204C2×C7×#41—21no—
205D7×#41—48no—
206C2×#1161—21no—
207C2×Q8×D7—21no—
208C2×#1159—21no—
209C2×#1159—21no—
210C2×#1159D411yescharacteristic
211C2×D4×D7—21no—
212C2×D4×D7—21no—
213C2×D4×D7—21no—
214C2×D4×D7C2311yescharacteristic
215C2×#1157—21no—
216C2×#1157—21no—
217C2×#1157—21no—
218C22×D28C2311yescharacteristic
219C22×D28C2311yescharacteristic
220C22×C4×D7—21no—
221C22×C4×D7—21no—
222C22×C4×D7—21no—
223C22×Dic14—21no—
224C2×C7×SD16C2311yescharacteristic
225C2×C7×M16C2311yescharacteristic
226C22×C7×C8C2311yescharacteristic
227C7×C4⋊Q8C2311yescharacteristic
228C7×#126—21no—
229C7×#125—21no—
230C7×#125C2311yescharacteristic
231C7×#123—21no—
232C7×#123—21no—
233C7×#123—21no—
234C7×C22⋊Q8—21no—
235C7×C22⋊Q8C2311yescharacteristic
236C7×C22⋊Q8C2311yescharacteristic
237C7×#121C2311yescharacteristic
238C7×#121C2311yescharacteristic
239C4×C7×Q8C2311yescharacteristic
240C4×C7×D4C2311yescharacteristic
241C4×C7×D4C2311yescharacteristic
242C7×#117—21no—
243C7×#117C2311yescharacteristic
244C2×C7×C4⋊C4C2311yescharacteristic
245C2×C7×C4⋊C4C2311yescharacteristic
246C2×C7×C4⋊C4C2311yescharacteristic
247#6510—21no—
248#6509—21no—
249#6509C2311yescharacteristic
250Q8×Dic7C2311yescharacteristic
251Q8×Dic7C2311yescharacteristic
252#6507C2311yescharacteristic
253C2×#1143C2311yescharacteristic
254C2×#1143C2311yescharacteristic
255C2×#1143C2311yescharacteristic
256#6503C2311yescharacteristic
257#6503C2311yescharacteristic
258#6502—21no—
259#6502—21no—
260#6500—21no—
261#6500—21no—
262#6498—21no—
263D4×Dic7D411yescharacteristic
264D4×Dic7C2311yescharacteristic
265C2×#1142C2311yescharacteristic
266#6493—21no—
267#6493C2311yescharacteristic
268#6493C2311yescharacteristic
269#6492—21no—
270#6492—21no—
271#6492—21no—
272C4×C22⋊D7—21no—
273C4×C22⋊D7C2311yescharacteristic
274C4×C22⋊D7C2311yescharacteristic
275C2×(C2×D7)⋊C4—21no—
276C2×(C2×D7)⋊C4—21no—
277#6489—21no—
278#6489C2311yescharacteristic
279C2×C4⋊Dic7C2311yescharacteristic
280#6487C2311yescharacteristic
281#6487C2311yescharacteristic
282C2×Dic7⋊C4—21no—
283C2×C4×Dic7C2311yescharacteristic
284C2×C4×Dic7C2311yescharacteristic
285C2×#1136C2311yescharacteristic
286C22×C7⋊C8C2311yescharacteristic
287C2×#1132C2311yescharacteristic
288C2×#1132C2311yescharacteristic
289C2×#1132C2311yescharacteristic
290C2×#1131C2311yescharacteristic
291C2×#1131C2311yescharacteristic
292#6461—21no—
293#6461—21no—
294#6461—21no—
295#6460C2311yescharacteristic
296#6459—21no—
297#6459—21no—
298#6459—21no—
299#6459—21no—
300#6459—21no—
301#6459—21no—
302#6459—21no—
303#6458—21no—
304#6458—21no—
305#6458C2311yescharacteristic
306#6458C2311yescharacteristic
307#6457—21no—
308#6457—21no—
309#6456—21no—
310#6456—21no—
311#6456—21no—
312#6456—21no—
313#6456—21no—
314#6456C2311yescharacteristic
315#6456C2311yescharacteristic
316#6456C2311yescharacteristic
317#6456C2311yescharacteristic
318#6456C2311yescharacteristic
319#6456C2311yescharacteristic
320#6456C2311yescharacteristic
321#6455D411yescharacteristic
322#6455C2311yescharacteristic
323#6455C2311yescharacteristic
324D7×C4⋊C4C2311yescharacteristic
325#6453—21no—
326#6453—21no—
327#6453C2311yescharacteristic
328#6453C2311yescharacteristic
329#6452—21no—
330#6452—21no—
331#6452—21no—
332#6452—21no—
333#6452—21no—
334#6452—21no—
335#6452—21no—
336#6451—21no—
337#6451—21no—
338#6451—21no—
339#6451—21no—
340#6451C2311yescharacteristic
341#6451C2311yescharacteristic
342#6451C2311yescharacteristic
343#6451C2311yescharacteristic
344#6451C2311yescharacteristic
345#6451C2311yescharacteristic
346#6451C2311yescharacteristic
347#6450—21no—
348#6450—21no—
349#6450—21no—
350#6450—21no—
351#6450—21no—
352#6450—21no—
353#6450D411yescharacteristic
354#6450C2311yescharacteristic
355#6450C2311yescharacteristic
356#6449—21no—
357#6448—21no—
358#6448—21no—
359#6448—21no—
360#6448—21no—
361#6447—21no—
362#6447—21no—
363#6447—21no—
364#6447—21no—
365#6445—21no—
366#6445—21no—
367#6445—21no—
368#6445—21no—
369(C22⋊D7)⋊C4—21no—
370(C22⋊D7)⋊C4—21no—
371(C22⋊D7)⋊C4—21no—
372(C22⋊D7)⋊C4D411yescharacteristic
373(C22⋊D7)⋊C4D411yescharacteristic
374D7×C22⋊C4—21no—
375#6442—21no—
376#6442—21no—
377#6442—21no—
378#6441—21no—
379#6441—21no—
380#6441—21no—
381#6441—21no—
382#6440—21no—
383#6440—21no—
384#6440—21no—
385#6440—21no—
386#6440D411yescharacteristic
387#6440D411yescharacteristic
388#6439—21no—
389#6437C2311yescharacteristic
390C4×D28C2311yescharacteristic
391#6435—21no—
392C42×D7C2311yescharacteristic
393#6433—21no—
394#6433C2311yescharacteristic
395C4×Dic14—21no—
396C4×Dic14—21no—
397C4×Dic14—21no—
398C4×Dic14—21no—
399C4×Dic14—21no—
400C4×Dic14C2311yescharacteristic
401C4×Dic14C2311yescharacteristic
402C7×#107C2311yescharacteristic
403C7×#107C2311yescharacteristic
404C7×#107C2311yescharacteristic
405C7×#107C2311yescharacteristic
406C7×#107C2311yescharacteristic
407C7×#107C2311yescharacteristic
408C7×#106C2311yescharacteristic
409C7×#106C2311yescharacteristic
410C7×#106C2311yescharacteristic
411C7×C4⋊C8C2311yescharacteristic
412C7×#103C2311yescharacteristic
413C7×#103C2311yescharacteristic
414C7×#103C2311yescharacteristic
415C7×#102C2311yescharacteristic
416C7×#102C2311yescharacteristic
417C7×#102C2311yescharacteristic
418C7×C22⋊C8C2311yescharacteristic
419C7×C22⋊C8C2311yescharacteristic
420C7×#97C2311yescharacteristic
421#6409C2311yescharacteristic
422#6406C2311yescharacteristic
423#6406C2311yescharacteristic
424#6406C2311yescharacteristic
425C22⋊(C7⋊C8)C2311yescharacteristic
426C22⋊(C7⋊C8)C2311yescharacteristic
427#6395C2311yescharacteristic
428#6395C2311yescharacteristic
429#6395C2311yescharacteristic
430#6395C2311yescharacteristic
431#6395C2311yescharacteristic
432#6395C2311yescharacteristic
433#6395C2311yescharacteristic
434#6395C2311yescharacteristic
435#6395C2311yescharacteristic
436(C2×D7)⋊C8C2311yescharacteristic
437(C2×D7)⋊C8C2311yescharacteristic
438#6392C2311yescharacteristic
439#6392C2311yescharacteristic
440#6391C2311yescharacteristic
441#6390C2311yescharacteristic
442#6389C2311yescharacteristic
443#6389C2311yescharacteristic
444Dic7⋊C8C2311yescharacteristic
445Dic7⋊C8C2311yescharacteristic
446Dic7⋊C8C2311yescharacteristic
447Dic7⋊C8C2311yescharacteristic
448Dic7⋊C8C2311yescharacteristic
449Dic7⋊C8C2311yescharacteristic
450Dic7⋊C8C2311yescharacteristic
451Dic7⋊C8C2311yescharacteristic
452C8×Dic7C2311yescharacteristic
453C8×Dic7C2311yescharacteristic
454#6384C2311yescharacteristic
455#6384C2311yescharacteristic
456#6384C2311yescharacteristic
457#6383C2311yescharacteristic
458#6383C2311yescharacteristic
459#6383C2311yescharacteristic
460#6383C2311yescharacteristic
461#6383C2311yescharacteristic
462#6383C2311yescharacteristic
463#6383C2311yescharacteristic
464#6383C2311yescharacteristic
465#6383C2311yescharacteristic
466#6382C2311yescharacteristic
467#6382C2311yescharacteristic
468#6382C2311yescharacteristic
469#6382C2311yescharacteristic
470#6381C2311yescharacteristic
471#6381C2311yescharacteristic
472#6381C2311yescharacteristic
473#6381C2311yescharacteristic
474#6381C2311yescharacteristic
475#6381C2311yescharacteristic
476#6381C2311yescharacteristic
477#6381C2311yescharacteristic
478C4⋊(C7⋊C8)C2311yescharacteristic
479#6377C2311yescharacteristic
480#3509—71no—
481D4×#41—71no—
482#3386—71no—
483#3386—71no—
484#3368—71no—
485#3368—71no—
486#3353—71no—
487#3353—71no—
488#3343—71no—
489#3343—71no—
490#3343—71no—
491#3343D711yescharacteristic, complemented
492#3324—71no—
493#3324—71no—
494#3310—71no—
495#3310—71no—
496#3310—71no—
497#3310—71no—
498#3254—71no—
499#3254—71no—
500#3246—71no—
501#3235—71no—
502#3235—71no—
503#3226—71no—
504#3110—71no—
505#3110—71no—
506#3101—71no—
507#3077—71no—
508#3077—71no—
509C2×#474—71no—
510#2989—71no—
511C23×D7—21no—
512C23×D7—21no—
513C23×D7—21no—
514C7×#41—44no—
515C2×C7×Q8—21no—
516C2×C7×Q8C2411yescharacteristic
517C2×C7×D4—21no—
518C2×C7×D4—21no—
519C2×C7×D4C2×D411yescharacteristic
520C2×C7×D4C2411yescharacteristic
521C22×C4×C7—21no—
522C22×C4×C7—21no—
523C22×C4×C7—21no—
524C22×C4×C7—21no—
525C22×C4×C7C2411yescharacteristic
526C22×C4×C7C2411yescharacteristic
527C2×C22⋊D7—21no—
528C2×C22⋊D7—21no—
529C2×C22⋊D7—21no—
530C2×C22⋊D7—21no—
531C2×C22⋊D7—21no—
532C2×C22⋊D7—21no—
533C2×C22⋊D7—21no—
534C2×C22⋊D7C2×D411yescharacteristic
535C2×C22⋊D7C2×D411yescharacteristic
536C22×Dic7—21no—
537C22×Dic7—21no—
538C22×Dic7C2×D411yescharacteristic
539C22×Dic7C2×D411yescharacteristic
540C22×Dic7C2×D411yescharacteristic
541C22×Dic7C2×D411yescharacteristic
542#1161—44no—
543Q8×D7—44no—
544#1159—24no—
545#1159—44no—
546#1159—44no—
547D4×D7—22no—
548D4×D7—41no—
549D4×D7—44no—
550D4×D7—44no—
551D4×D7—44no—
552#1157—44no—
553#1157—44no—
554#1157—44no—
555C2×D28—22no—
556C2×D28—22no—
557C2×D28—21no—
558C2×D28—21no—
559C2×D28—21no—
560C2×D28—21no—
561C2×D28—21no—
562C2×D28—21no—
563C2×D28—41no—
564C2×D28—41no—
565C2×D28C2411yescharacteristic
566C2×D28C2411yescharacteristic
567C2×D28C2411yescharacteristic
568C2×C4×D7—21no—
569C2×C4×D7—21no—
570C2×C4×D7—21no—
571C2×C4×D7—21no—
572C2×C4×D7—21no—
573C2×C4×D7—21no—
574C2×C4×D7—21no—
575C2×C4×D7—21no—
576C2×C4×D7—21no—
577C2×C4×D7—44no—
578C2×C4×D7—44no—
579C2×C4×D7—44no—
580C2×C4×D7C2×D411yescharacteristic
581C2×C4×D7C2×D411yescharacteristic
582C2×C4×D7C2411yescharacteristic
583C2×Dic14—21no—
584C2×Dic14—21no—
585C2×Dic14—21no—
586C2×Dic14—21no—
587C2×Dic14—21no—
588C2×Dic14—21no—
589C2×Dic14—21no—
590C2×Dic14—44no—
591C2×Dic14C2×D411yescharacteristic
592C2×Dic14C2411yescharacteristic
593C7×SD16—41no—
594C7×M16—41no—
595C2×C7×C8—41no—
596C2×C7×C8C2411yescharacteristic
597C2×C7×C8C2411yescharacteristic
598C2×C7×C8C2411yescharacteristic
599C2×C7×C8C2411yescharacteristic
600C7×C4⋊C4—21no—
601C7×C4⋊C4—21no—
602C7×C4⋊C4—21no—
603C7×C4⋊C4—21no—
604C7×C4⋊C4—21no—
605C7×C4⋊C4—21no—
606C7×C4⋊C4—21no—
607C7×C4⋊C4—21no—
608C7×C4⋊C4—21no—
609C7×C4⋊C4C2×D411yescharacteristic
610C7×C4⋊C4C2411yescharacteristic
611C7×C4⋊C4C2411yescharacteristic
612C7×C4⋊C4C2411yescharacteristic
613C7×C4⋊C4C2411yescharacteristic
614C7×C4⋊C4C2411yescharacteristic
615C7×C4⋊C4C2411yescharacteristic
616C7×C22⋊C4—21no—
617C7×C22⋊C4—21no—
618C7×C22⋊C4—21no—
619C7×C22⋊C4—21no—
620C7×C22⋊C4—21no—
621C7×C22⋊C4—21no—
622C7×C22⋊C4C2×D411yescharacteristic
623C7×C22⋊C4C2×D411yescharacteristic
624C42×C7—21no—
625C42×C7—21no—
626C42×C7C2411yescharacteristic
627C22⋊Dic7—21no—
628C22⋊Dic7—21no—
629C22⋊Dic7—21no—
630C22⋊Dic7—21no—
631C22⋊Dic7C2×D411yescharacteristic
632C22⋊Dic7C2×D411yescharacteristic
633#1143—22no—
634#1143—41no—
635#1143—41no—
636#1142—41no—
637(C2×D7)⋊C4—21no—
638(C2×D7)⋊C4—21no—
639(C2×D7)⋊C4—21no—
640(C2×D7)⋊C4—21no—
641(C2×D7)⋊C4—21no—
642(C2×D7)⋊C4—21no—
643(C2×D7)⋊C4—21no—
644(C2×D7)⋊C4—21no—
645(C2×D7)⋊C4—21no—
646(C2×D7)⋊C4—21no—
647(C2×D7)⋊C4—21no—
648(C2×D7)⋊C4—21no—
649(C2×D7)⋊C4—21no—
650(C2×D7)⋊C4—21no—
651(C2×D7)⋊C4—21no—
652(C2×D7)⋊C4—21no—
653(C2×D7)⋊C4C2×D411yescharacteristic
654(C2×D7)⋊C4C2×D411yescharacteristic
655C4⋊Dic7—21no—
656C4⋊Dic7—21no—
657C4⋊Dic7—21no—
658C4⋊Dic7—21no—
659C4⋊Dic7—21no—
660C4⋊Dic7—21no—
661C4⋊Dic7C2×D411yescharacteristic
662C4⋊Dic7C2411yescharacteristic
663C4⋊Dic7C2411yescharacteristic
664C4⋊Dic7C2411yescharacteristic
665C4⋊Dic7C2411yescharacteristic
666Dic7⋊C4—21no—
667Dic7⋊C4—21no—
668Dic7⋊C4—21no—
669Dic7⋊C4—21no—
670Dic7⋊C4—21no—
671Dic7⋊C4—21no—
672Dic7⋊C4—21no—
673Dic7⋊C4—21no—
674Dic7⋊C4—21no—
675Dic7⋊C4—21no—
676Dic7⋊C4—21no—
677Dic7⋊C4—21no—
678Dic7⋊C4—21no—
679Dic7⋊C4—21no—
680Dic7⋊C4—21no—
681Dic7⋊C4—21no—
682Dic7⋊C4—21no—
683Dic7⋊C4—21no—
684Dic7⋊C4—21no—
685Dic7⋊C4—21no—
686Dic7⋊C4C2×D411yescharacteristic
687Dic7⋊C4C2×D411yescharacteristic
688Dic7⋊C4C2×D411yescharacteristic
689Dic7⋊C4C2×D411yescharacteristic
690C4×Dic7—21no—
691C4×Dic7—21no—
692C4×Dic7—21no—
693C4×Dic7—21no—
694C4×Dic7—21no—
695C4×Dic7—21no—
696C4×Dic7—21no—
697C4×Dic7—21no—
698C4×Dic7C2×D411yescharacteristic
699C4×Dic7C2×D411yescharacteristic
700C4×Dic7C2×D411yescharacteristic
701C4×Dic7C2×D411yescharacteristic
702C4×Dic7C2×D411yescharacteristic
703C4×Dic7C2×D411yescharacteristic
704C4×Dic7C2411yescharacteristic
705C4×Dic7C2411yescharacteristic
706C4×Dic7C2411yescharacteristic
707#1136—41no—
708C2×C7⋊C8—41no—
709C2×C7⋊C8C2411yescharacteristic
710C2×C7⋊C8C2411yescharacteristic
711C2×C7⋊C8C2411yescharacteristic
712C2×C7⋊C8C2411yescharacteristic
713#1132—22no—
714#1132—41no—
715#1132—41no—
716#1131—41no—
717#1131—41no—
718C22×#41—141no—
719#557—71no—
720#557—71no—
721#557—141no—
722#556—71no—
723#556—71no—
724#556—141no—
725#552—71no—
726#552—71no—
727#552—71no—
728#552—141no—
729#552—141no—
730#552C2×D711yescharacteristic, complemented
731#550—71no—
732D4×Q8—71no—
733#548—141no—
734#547—71no—
735#547—71no—
736#547C2×D711yescharacteristic
737#546—141no—
738#546—141no—
739#546—141no—
740D42—71no—
741D42—71no—
742D42—71no—
743#541—141no—
744#541—141no—
745#536—141no—
746#533—71no—
747#533—71no—
748#533—71no—
749#533—71no—
750#533—71no—
751#532—71no—
752#532—71no—
753#532—71no—
754C2×C4⋊Q8—71no—
755#525—141no—
756#525—141no—
757#525—141no—
758#519—141no—
759C4×#41—71no—
760C2×C4×D4—71no—
761C2×C4×D4—71no—
762C2×C4×D4—71no—
763#501—71no—
764#501—71no—
765#501—71no—
766#501C2×D711yescharacteristic, complemented
767#500—71no—
768#500—71no—
769#490—71no—
770#490—71no—
771#490—71no—
772#490—71no—
773#486—71no—
774#486—71no—
775#484—71no—
776#484—71no—
777#484—71no—
778#484C2×D711yescharacteristic, complemented
779#483—71no—
780#483C2×D711yescharacteristic, complemented
781#482—71no—
782#482—71no—
783#482—71no—
784#482—71no—
785#482—71no—
786#482—71no—
787#482—71no—
788#482C2×D711yescharacteristic, complemented
789#480—71no—
790#480—71no—
791#480—71no—
792#480C2×D711yescharacteristic, complemented
793#478—71no—
794#478—71no—
795#478—71no—
796#478—71no—
797#478—71no—
798#478—71no—
799#478—71no—
800#478C2×D711yescharacteristic, complemented
801#477—71no—
802#477—71no—
803#477—71no—
804#477C2×D711yescharacteristic, complemented
805#476—71no—
806#476—71no—
807#476—71no—
808#476—71no—
809#475—71no—
810#475—71no—
811#474—71no—
812#474—71no—
813#474—71no—
814#474—71no—
815#474—71no—
816#474—71no—
817#474—71no—
818#474—71no—
819#474—71no—
820#474—71no—
821#474—71no—
822#474—71no—
823#468—71no—
824#468—71no—
825#468—71no—
826#468—71no—
827#468—71no—
828#468—71no—
829#468—71no—
830#468C2×D711yescharacteristic, complemented
831#465—71no—
832#465—71no—
833#465—71no—
834#465C2×D711yescharacteristic, complemented
835#461—71no—
836#461—71no—
837#461—71no—
838#461—71no—
839#460—71no—
840#460—71no—
841#460—71no—
842#460—71no—
843#460—71no—
844#460—71no—
845#450—71no—
846#450—71no—
847#450—71no—
848#450—71no—
849#450—71no—
850#450—71no—
851#446—71no—
852#446—71no—
853#440—71no—
854#440—71no—
855#440—71no—
856#440—71no—
857#440—71no—
858#440—71no—
859#440—71no—
860#440C2×D711yescharacteristic, complemented
861C4×SD16—71no—
862C4×SD16—71no—
863C4×SD16—71no—
864C4×SD16—71no—
865#436—71no—
866#436—71no—
867#435—71no—
868#435—71no—
869#435—71no—
870#435C2×D711yescharacteristic, complemented
871#432—71no—
872#432—71no—
873#431—71no—
874#428—71no—
875#428—71no—
876#428—71no—
877#428C2×D711yescharacteristic, complemented
878C2×#107—71no—
879C2×#107C2×D711yescharacteristic, complemented
880#423—71no—
881#423—71no—
882C2×C4⋊C8—71no—
883#418—71no—
884#418—71no—
885#418—71no—
886#418—71no—
887C2×#102—71no—
888C2×#102—71no—
889C23×C7—21no—
890C23×C7C22×D411yescharacteristic
891C23×C7C22×D411yescharacteristic
892C22×D7—21no—
893C22×D7—21no—
894C22×D7—21no—
895C22×D7—42no—
896C22×D7—42no—
897C22×D7—42no—
898C22×D7—42no—
899C22×D7—42no—
900C22×D7—42no—
901C22×D7—81no—
902C22×D7—81no—
903C22×D7—81no—
904C22×D7C22×D411yescharacteristic
905C7×Q8—21no—
906C7×Q8—21no—
907C7×Q8—42no—
908C7×D4—22no—
909C7×D4—21no—
910C7×D4—21no—
911C7×D4—42no—
912C7×D4—42no—
913C2×C4×C7—21no—
914C2×C4×C7—21no—
915C2×C4×C7—21no—
916C2×C4×C7—21no—
917C2×C4×C7—21no—
918C2×C4×C7—21no—
919C2×C4×C7—21no—
920C2×C4×C7—21no—
921C2×C4×C7—21no—
922C2×C4×C7—21no—
923C2×C4×C7—21no—
924C2×C4×C7—42no—
925C2×C4×C7—42no—
926C2×C4×C7—42no—
927C2×C4×C7—42no—
928C2×C4×C7C22×D411yescharacteristic
929C2×C4×C7C22×D411yescharacteristic
930C2×C4×C7C22×D411yescharacteristic
931C2×C4×C7C22×D411yescharacteristic
932C2×C4×C7C2511yescharacteristic
933C22⋊D7—22no—
934C22⋊D7—22no—
935C22⋊D7—42no—
936C22⋊D7—42no—
937C22⋊D7—42no—
938C22⋊D7—42no—
939C22⋊D7—42no—
940C22⋊D7—81no—
941C22⋊D7—81no—
942C2×Dic7—22no—
943C2×Dic7—21no—
944C2×Dic7—21no—
945C2×Dic7—21no—
946C2×Dic7—21no—
947C2×Dic7—21no—
948C2×Dic7—41no—
949C2×Dic7—41no—
950C2×Dic7—42no—
951C2×Dic7—42no—
952C2×Dic7AGL(1,ℤ/8)14yes—
953C2×Dic7C22×D411yescharacteristic
954C2×Dic7C22×D411yescharacteristic
955C2×Dic7C22×D411yescharacteristic
956C2×Dic7C22×D411yescharacteristic
957C2×Dic7C22×D411yescharacteristic
958C2×Dic7C22×D411yescharacteristic
959C2×Dic7C22×D411yescharacteristic
960D28—21no—
961D28—21no—
962D28—21no—
963D28—21no—
964D28—21no—
965D28—42no—
966D28—42no—
967D28—42no—
968D28—42no—
969D28—42no—
970D28—81no—
971D282−1+412yes—
972C4×D7—21no—
973C4×D7—21no—
974C4×D7—22no—
975C4×D7—41no—
976C4×D7—42no—
977C4×D7—42no—
978C4×D7—42no—
979C4×D7—42no—
980C4×D7—42no—
981C4×D7—42no—
982C4×D7—42no—
983C4×D7—42no—
984C4×D7—42no—
985Dic14—22no—
986Dic14—21no—
987Dic14—21no—
988Dic14—42no—
989Dic14—42no—
990Dic14—42no—
991Dic14—42no—
992Dic14—42no—
993Dic14—42no—
994Dic14—42no—
995C7×C8—21no—
996C7×C8—21no—
997C7×C8—21no—
998C7×C8—21no—
999C7⋊C8—21no—
1000C7⋊C8—21no—
1001C7⋊C8—21no—
1002C7⋊C8—21no—
1003C2×#41—21no—
1004C2×#41—71no—
1005C2×#41—141no—
1006C2×#41—141no—
1007C2×#41—141no—
1008C2×#41—141no—
1009C2×#41—141no—
1010C2×#41—141no—
1011C2×#41—288no—
1012C22×Q8—141no—
1013C22×Q8—141no—
1014C22×D4—71no—
1015C22×D4—71no—
1016C22×D4—71no—
1017C22×D4—141no—
1018C22×D4—141no—
1019C22×D4—141no—
1020C23×C4—141no—
1021C23×C4—141no—
1022C23×C4—141no—
1023C2×SD16—71no—
1024C2×SD16—71no—
1025C2×SD16—71no—
1026C2×SD16—71no—
1027C2×SD16—71no—
1028C2×SD16—71no—
1029C2×SD16—71no—
1030C2×SD16C22×D711yescharacteristic
1031C2×M16—71no—
1032C2×M16—71no—
1033C2×M16—71no—
1034C2×M16C22×D711yescharacteristic
1035C22×C8—71no—
1036C22×C8C22×D711yescharacteristic
1037C4⋊Q8—71no—
1038C4⋊Q8—71no—
1039C4⋊Q8—71no—
1040C4⋊Q8—71no—
1041C4⋊Q8—71no—
1042C4⋊Q8—71no—
1043C4⋊Q8—71no—
1044C4⋊Q8—71no—
1045C4⋊Q8—141no—
1046C4⋊Q8—141no—
1047C4⋊Q8—141no—
1048C4⋊Q8—141no—
1049C4⋊Q8C22×D711yescharacteristic
1050#127—71no—
1051#127—71no—
1052#127—71no—
1053#126—21no—
1054#126—141no—
1055#126—141no—
1056#126—141no—
1057#126—141no—
1058#126—141no—
1059#126—141no—
1060#126—141no—
1061#125—21no—
1062#125—71no—
1063#125—71no—
1064#125—71no—
1065#125—141no—
1066#125—141no—
1067#125—141no—
1068#125—141no—
1069#125—141no—
1070#125—141no—
1071#125—141no—
1072#125—141no—
1073#125—141no—
1074#125—141no—
1075#125C22×D711yescharacteristic
1076#124—141no—
1077#124—141no—
1078#124—141no—
1079#124—141no—
1080#124—141no—
1081#123—21no—
1082#123—21no—
1083#123—21no—
1084#123—141no—
1085#123—141no—
1086#123—141no—
1087#123—141no—
1088#123—141no—
1089#123—141no—
1090#123—141no—
1091C22⋊Q8—21no—
1092C22⋊Q8—71no—
1093C22⋊Q8—71no—
1094C22⋊Q8—71no—
1095C22⋊Q8—71no—
1096C22⋊Q8—141no—
1097C22⋊Q8—141no—
1098C22⋊Q8—141no—
1099C22⋊Q8—141no—
1100C22⋊Q8—141no—
1101C22⋊Q8—141no—
1102C22⋊Q8—141no—
1103C22⋊Q8—141no—
1104C22⋊Q8—141no—
1105C22⋊Q8—141no—
1106C22⋊Q8—141no—
1107C22⋊Q8—141no—
1108C22⋊Q8C22×D711yescharacteristic
1109C22⋊Q8C22×D711yescharacteristic
1110#121—71no—
1111#121—71no—
1112#121—71no—
1113#121—71no—
1114#121—141no—
1115#121—141no—
1116#121—141no—
1117#121—141no—
1118#121—141no—
1119#121—141no—
1120#121—141no—
1121#121—141no—
1122#121—141no—
1123#121C22×D711yescharacteristic
1124#121C22×D711yescharacteristic
1125#120—141no—
1126#120—141no—
1127#120—141no—
1128#120—141no—
1129#120—141no—
1130#120—141no—
1131C4×Q8—71no—
1132C4×Q8—71no—
1133C4×Q8—71no—
1134C4×Q8—71no—
1135C4×Q8—71no—
1136C4×Q8—71no—
1137C4×Q8—71no—
1138C4×Q8—141no—
1139C4×Q8—141no—
1140C4×Q8—141no—
1141C4×Q8—141no—
1142C4×Q8—141no—
1143C4×Q8—141no—
1144C4×Q8—141no—
1145C4×Q8—141no—
1146C4×Q8—141no—
1147C4×Q8—141no—
1148C4×Q8—141no—
1149C4×Q8C22×D711yescharacteristic
1150C4×D4—71no—
1151C4×D4—71no—
1152C4×D4—71no—
1153C4×D4—71no—
1154C4×D4—71no—
1155C4×D4—71no—
1156C4×D4—71no—
1157C4×D4—71no—
1158C4×D4—71no—
1159C4×D4—71no—
1160C4×D4—71no—
1161C4×D4—71no—
1162C4×D4—71no—
1163C4×D4—71no—
1164C4×D4—141no—
1165C4×D4—141no—
1166C4×D4—141no—
1167C4×D4—141no—
1168C4×D4—141no—
1169C4×D4—141no—
1170C4×D4—141no—
1171C4×D4—141no—
1172C4×D4—141no—
1173C4×D4C22×D711yescharacteristic
1174C4×D4C22×D711yescharacteristic
1175#117—21no—
1176#117—71no—
1177#117—71no—
1178#117—71no—
1179#117—71no—
1180#117—71no—
1181#117—71no—
1182#117—141no—
1183#117—141no—
1184#117—141no—
1185#117—141no—
1186#117—141no—
1187#117—141no—
1188#117C22×D711yescharacteristic
1189C2×C4⋊C4—71no—
1190C2×C4⋊C4—71no—
1191C2×C4⋊C4—141no—
1192C2×C4⋊C4C22×D711yescharacteristic
1193C2×C4⋊C4C22×D711yescharacteristic
1194C2×C4⋊C4C22×D711yescharacteristic
1195C2×C22⋊C4—141no—
1196C2×C22⋊C4—141no—
1197C2×C22⋊C4—141no—
1198C2×C42—71no—
1199C2×C42—71no—
1200C2×C42—71no—
1201#107—71no—
1202#107—71no—
1203#107—71no—
1204#107—71no—
1205#107—71no—
1206#107—71no—
1207#107—71no—
1208#107—71no—
1209#107—71no—
1210#107—71no—
1211#107C22×D711yescharacteristic
1212#107C22×D711yescharacteristic
1213#107C22×D711yescharacteristic
1214#107C22×D711yescharacteristic
1215#107C22×D711yescharacteristic
1216#107C22×D711yescharacteristic
1217#106—71no—
1218#106—71no—
1219#106—71no—
1220#106—71no—
1221#106—71no—
1222#106C22×D711yescharacteristic
1223#106C22×D711yescharacteristic
1224#106C22×D711yescharacteristic
1225C4⋊C8—71no—
1226C4⋊C8—71no—
1227C4⋊C8—71no—
1228C4⋊C8—71no—
1229C4⋊C8—71no—
1230C4⋊C8—71no—
1231C4⋊C8—71no—
1232C4⋊C8—71no—
1233C4⋊C8—71no—
1234C4⋊C8C22×D711yescharacteristic
1235#103—71no—
1236#103—71no—
1237#103—71no—
1238#103—71no—
1239#103—71no—
1240#103C22×D711yescharacteristic
1241#103C22×D711yescharacteristic
1242#103C22×D711yescharacteristic
1243#102—71no—
1244#102—71no—
1245#102—71no—
1246#102—71no—
1247#102—71no—
1248#102—71no—
1249#102—71no—
1250#102—71no—
1251#102—71no—
1252#102—71no—
1253#102—71no—
1254#102—71no—
1255#102—71no—
1256#102—71no—
1257#102—71no—
1258#102—71no—
1259#102—71no—
1260#102—71no—
1261#102—71no—
1262#102—71no—
1263#102—71no—
1264#102C22×D711yescharacteristic
1265#102C22×D711yescharacteristic
1266#102C22×D711yescharacteristic
1267C22⋊C8—71no—
1268C22⋊C8—71no—
1269C22⋊C8—71no—
1270C22⋊C8—71no—
1271C22⋊C8C22×D711yescharacteristic
1272C22⋊C8C22×D711yescharacteristic
1273#97—71no—
1274#97—71no—
1275#97—71no—
1276#97C22×D711yescharacteristic
1277C4×C8—71no—
1278C4×C8—71no—
1279C22×C7—21no—
1280C22×C7—21no—
1281C22×C7—21no—
1282C22×C7—21no—
1283C22×C7—21no—
1284C22×C7—41no—
1285C22×C7—41no—
1286C22×C7—41no—
1287C22×C7C2×AGL(1,ℤ/8)12yes—
1288C22×C7C23×D411yescharacteristic
1289C2×D7—21no—
1290C2×D7—21no—
1291C2×D7—22no—
1292C2×D7—21no—
1293C2×D7—41no—
1294C2×D7—41no—
1295C2×D7—41no—
1296C2×D7—41no—
1297C2×D7—41no—
1298C2×D7—41no—
1299C2×D7—41no—
1300C2×D7—41no—
1301C2×D7—84no—
1302C2×D7—84no—
1303C2×D7—84no—
1304C4×C7—21no—
1305C4×C7—21no—
1306C4×C7—21no—
1307C4×C7—21no—
1308C4×C7—41no—
1309C4×C7—41no—
1310C4×C7—41no—
1311C4×C7—41no—
1312C4×C7—41no—
1313C4×C7—41no—
1314C4×C7—41no—
1315C4×C7C2×2−1+411yescharacteristic
1316C4×C7#58511yescharacteristic
1317Dic7—21no—
1318Dic7—21no—
1319Dic7—21no—
1320Dic7—21no—
1321Dic7—21no—
1322Dic7—41no—
1323Dic7—41no—
1324Dic7—41no—
1325Dic7—41no—
1326Dic7—41no—
1327Dic7C2×AGL(1,ℤ/8)12yes—
1328Dic7C2×AGL(1,ℤ/8)12yes—
1329C24—141no—
1330C24—141no—
1331C24—141no—
1332#41—44no—
1333#41—144no—
1334#41—284no—
1335#41—284no—
1336#41—284no—
1337#41—284no—
1338#41—284no—
1339#41—284no—
1340C2×Q8—21no—
1341C2×Q8—71no—
1342C2×Q8—71no—
1343C2×Q8—141no—
1344C2×Q8—141no—
1345C2×Q8—141no—
1346C2×Q8—141no—
1347C2×Q8—141no—
1348C2×Q8—141no—
1349C2×Q8—141no—
1350C2×Q8—284no—
1351C2×Q8—284no—
1352C2×Q8C23×D711yescharacteristic
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—71no—
1356C2×D4—71no—
1357C2×D4—71no—
1358C2×D4—71no—
1359C2×D4—71no—
1360C2×D4—142no—
1361C2×D4—142no—
1362C2×D4—141no—
1363C2×D4—141no—
1364C2×D4—141no—
1365C2×D4—141no—
1366C2×D4—141no—
1367C2×D4—141no—
1368C2×D4—141no—
1369C2×D4—142no—
1370C2×D4—141no—
1371C2×D4—141no—
1372C2×D4—141no—
1373C2×D4—141no—
1374C2×D4—141no—
1375C2×D4—141no—
1376C2×D4—281no—
1377C2×D4—281no—
1378C2×D4—281no—
1379C2×D4—284no—
1380C2×D4—284no—
1381C2×D4—284no—
1382C2×D4D4×D711yescharacteristic
1383C2×D4C23×D711yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—71no—
1389C22×C4—71no—
1390C22×C4—71no—
1391C22×C4—71no—
1392C22×C4—71no—
1393C22×C4—71no—
1394C22×C4—71no—
1395C22×C4—141no—
1396C22×C4—141no—
1397C22×C4—141no—
1398C22×C4—141no—
1399C22×C4—141no—
1400C22×C4—141no—
1401C22×C4—141no—
1402C22×C4—141no—
1403C22×C4—141no—
1404C22×C4—141no—
1405C22×C4—141no—
1406C22×C4—284no—
1407C22×C4—284no—
1408C22×C4—284no—
1409C22×C4C23×D711yescharacteristic
1410C22×C4C23×D711yescharacteristic
1411SD16—41no—
1412SD16—142no—
1413SD16—142no—
1414SD16—281no—
1415SD16—281no—
1416SD16—281no—
1417SD16—281no—
1418SD16—281no—
1419M16—41no—
1420M16—281no—
1421M16—281no—
1422M16—281no—
1423C2×C8—41no—
1424C2×C8—71no—
1425C2×C8—71no—
1426C2×C8—71no—
1427C2×C8—71no—
1428C2×C8—281no—
1429C2×C8C23×D711yescharacteristic
1430C2×C8C23×D711yescharacteristic
1431C2×C8C23×D711yescharacteristic
1432C2×C8C23×D711yescharacteristic
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—71no—
1443C4⋊C4—71no—
1444C4⋊C4—71no—
1445C4⋊C4—71no—
1446C4⋊C4—71no—
1447C4⋊C4—71no—
1448C4⋊C4—71no—
1449C4⋊C4—71no—
1450C4⋊C4—71no—
1451C4⋊C4—141no—
1452C4⋊C4—141no—
1453C4⋊C4—141no—
1454C4⋊C4—141no—
1455C4⋊C4—141no—
1456C4⋊C4—141no—
1457C4⋊C4—141no—
1458C4⋊C4—141no—
1459C4⋊C4—141no—
1460C4⋊C4—141no—
1461C4⋊C4—141no—
1462C4⋊C4—141no—
1463C4⋊C4—141no—
1464C4⋊C4—141no—
1465C4⋊C4—141no—
1466C4⋊C4—141no—
1467C4⋊C4—141no—
1468C4⋊C4—141no—
1469C4⋊C4—141no—
1470C4⋊C4—141no—
1471C4⋊C4—141no—
1472C4⋊C4—141no—
1473C4⋊C4—141no—
1474C4⋊C4—141no—
1475C4⋊C4—141no—
1476C4⋊C4—141no—
1477C4⋊C4D4×D711yescharacteristic
1478C4⋊C4C23×D711yescharacteristic
1479C4⋊C4C23×D711yescharacteristic
1480C4⋊C4C23×D711yescharacteristic
1481C4⋊C4C23×D711yescharacteristic
1482C4⋊C4C23×D711yescharacteristic
1483C4⋊C4C23×D711yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—71no—
1491C22⋊C4—71no—
1492C22⋊C4—71no—
1493C22⋊C4—71no—
1494C22⋊C4—141no—
1495C22⋊C4—141no—
1496C22⋊C4—141no—
1497C22⋊C4—141no—
1498C22⋊C4—141no—
1499C22⋊C4—141no—
1500C22⋊C4—141no—
1501C22⋊C4—141no—
1502C22⋊C4—141no—
1503C22⋊C4—141no—
1504C22⋊C4—141no—
1505C22⋊C4—141no—
1506C22⋊C4—141no—
1507C22⋊C4—141no—
1508C22⋊C4—141no—
1509C22⋊C4—141no—
1510C22⋊C4—141no—
1511C22⋊C4—141no—
1512C22⋊C4—141no—
1513C22⋊C4—141no—
1514C22⋊C4D4×D711yescharacteristic
1515C22⋊C4D4×D711yescharacteristic
1516C42—21no—
1517C42—21no—
1518C42—71no—
1519C42—71no—
1520C42—71no—
1521C42—71no—
1522C42—71no—
1523C42—71no—
1524C42—71no—
1525C42—71no—
1526C42—71no—
1527C42—141no—
1528C42—141no—
1529C42—141no—
1530C42—141no—
1531C42—141no—
1532C42—141no—
1533C42—141no—
1534C42—141no—
1535C42C23×D711yescharacteristic
1536C2×C7—22no—
1537C2×C7—41no—
1538C2×C7—81no—
1539C2×C7#348911yescharacteristic
1540C2×C7C22×AGL(1,ℤ/8)11yescharacteristic
1541C2×C7#358611yescharacteristic
1542D7—41no—
1543D7—42no—
1544D7—81no—
1545D7—81no—
1546C23—21no—
1547C23—71no—
1548C23—141no—
1549C23—141no—
1550C23—141no—
1551C23—282no—
1552C23—282no—
1553C23—282no—
1554C23—282no—
1555C23—282no—
1556C23—282no—
1557C23—561no—
1558C23—561no—
1559C23—561no—
1560C23C2×D4×D711yescharacteristic
1561C23C2×D4×D711yescharacteristic
1562Q8—21no—
1563Q8—21no—
1564Q8—42no—
1565Q8—142no—
1566Q8—141no—
1567Q8—141no—
1568Q8—282no—
1569Q8—282no—
1570Q8—282no—
1571Q8—282no—
1572Q8—282no—
1573Q8—282no—
1574Q8—282no—
1575D4—22no—
1576D4—21no—
1577D4—21no—
1578D4—42no—
1579D4—42no—
1580D4—72no—
1581D4—142no—
1582D4—142no—
1583D4—141no—
1584D4—141no—
1585D4—141no—
1586D4—141no—
1587D4—141no—
1588D4—282no—
1589D4—282no—
1590D4—282no—
1591D4—282no—
1592D4—282no—
1593D4—282no—
1594D4—282no—
1595D4—282no—
1596D4—282no—
1597D4—282no—
1598D4—561no—
1599D4—561no—
1600D4—561no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—74no—
1617C2×C4—71no—
1618C2×C4—71no—
1619C2×C4—71no—
1620C2×C4—71no—
1621C2×C4—71no—
1622C2×C4—71no—
1623C2×C4—71no—
1624C2×C4—142no—
1625C2×C4—142no—
1626C2×C4—141no—
1627C2×C4—141no—
1628C2×C4—141no—
1629C2×C4—141no—
1630C2×C4—141no—
1631C2×C4—141no—
1632C2×C4—141no—
1633C2×C4—281no—
1634C2×C4—282no—
1635C2×C4—282no—
1636C2×C4—282no—
1637C2×C4—282no—
1638C2×C4—282no—
1639C2×C4—282no—
1640C2×C4—282no—
1641C2×C4—282no—
1642C2×C4—282no—
1643C2×C4—282no—
1644C2×C4—281no—
1645C2×C4—281no—
1646C2×C4—282no—
1647C2×C4C2×D4×D711yescharacteristic
1648C2×C4C2×D4×D711yescharacteristic
1649C2×C4C2×D4×D711yescharacteristic
1650C2×C4C2×D4×D711yescharacteristic
1651C2×C4C24×D711yescharacteristic
1652C8—21no—
1653C8—21no—
1654C8—21no—
1655C8—21no—
1656C8—141no—
1657C8—141no—
1658C8—141no—
1659C8—141no—
1660C7#6210911yescharacteristic, complemented, Sylow
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—141no—
1670C22—141no—
1671C22—142no—
1672C22—141no—
1673C22—281no—
1674C22—281no—
1675C22—281no—
1676C22—281no—
1677C22—281no—
1678C22—281no—
1679C22—281no—
1680C22—281no—
1681C22—564no—
1682C22—564no—
1683C22—564no—
1684C22D7×AGL(1,ℤ/8)12yes—
1685C22C22×D4×D711yescharacteristic
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—72no—
1698C4—72no—
1699C4—141no—
1700C4—141no—
1701C4—141no—
1702C4—141no—
1703C4—141no—
1704C4—281no—
1705C4—281no—
1706C4—281no—
1707C4—281no—
1708C4—281no—
1709C4#9061611yescharacteristic
1710C4D7×2−1+411yescharacteristic
1711C2—22no—
1712C2—41no—
1713C2—81no—
1714C2—281no—
1715C2—282no—
1716C2—561no—
1717C2—561no—
1718C2#1174374511yescharacteristic
1719C2C2×D7×AGL(1,ℤ/8)11yescharacteristic
1720C2#1174427911yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3343C2
socleC22×C7C23×D4
prime radical#11743742C2
hypercenter#3343D7
hypocenterC7#62109
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #11743900C2semidirect
3. C7×#3343C2semidirect
4. #11741044C2semidirect
5. #11740963C2semidirect
6. #11739424C2semidirect
7. #11739411C2semidirect
8. #11738926C2semidirect
9. #11738899C2semidirect
10. #11738869C2semidirect
11. #11738857C2semidirect
12. #11738848C2semidirect
13. #11738803C2semidirect
14. #11738748C2semidirect
15. #11738719C2semidirect
16. #11738611C2semidirect
17. #11738598C2semidirect
18. #11738548C2semidirect
19. #11738543C2semidirect
20. #11738286C2semidirect
21. #11738239C2semidirect
22. #11738130C2semidirect
23. #11738085C2semidirect
24. #11737224C2semidirect
25. #11737197C2semidirect
26. #11736946C2semidirect
27. #11736906C2semidirect
28. #11736684C2semidirect
29. #11736679C2semidirect
30. C2×#89662C2semidirect
31. #11736603C2semidirect
33. C7×#552C22semidirect
41. #90379C22semidirect
43. #90376C22semidirect
50. #90333C22semidirect
51. #90332C22semidirect
54. #90313C22semidirect
55. #90313C22semidirect
60. #90269C22semidirect
61. #90260C22semidirect
65. #90232C22semidirect
67. #90224C22semidirect
69. #90208C22semidirect
71. #90204C22semidirect
76. C2×#6451C22semidirect
77. C7×#501C22semidirect
78. C7×#484C22semidirect
79. C7×#483C22semidirect
80. C7×#482C22semidirect
81. C7×#480C22semidirect
82. C7×#478C22semidirect
83. C7×#477C22semidirect
84. C7×#468C22semidirect
85. C7×#465C22semidirect
86. C7×#440C22semidirect
87. C7×#435C22semidirect
88. C7×#428C22semidirect
89. C2×C7×#107C22semidirect
91. #89935C22semidirect
92. #89935C22semidirect
93. #89934C22semidirect
94. #89906C22semidirect
96. #89900C22semidirect
97. #89890C22semidirect
98. #89886C22semidirect
100. #89883C22semidirect
101. C2×Dic7⋊C8C22semidirect
102. #89863C22semidirect
103. #89852C22semidirect
104. #89839C22semidirect
106. #89821C22semidirect
107. #89820C22semidirect
110. #89814C22semidirect
111. #89813C22semidirect
112. #89807C22semidirect
113. #89805C22semidirect
114. #89799C22semidirect
116. #89790C22semidirect
117. #89783C22semidirect
118. #89781C22semidirect
119. #89775C22semidirect
121. #89743C22semidirect
122. #89742C22semidirect
123. #89739C22semidirect
125. #89736C22semidirect
126. C2×#6381C22semidirect
128. #89663C22semidirect
133. #89662C22semidirect
134. #89662C22semidirect
135. #89662C22semidirect
136. #89662C22semidirect
137. #89662C22semidirect
138. #89662C22semidirect
140. #89661C22semidirect
141. #89658C22semidirect
142. #89658C22semidirect
143. #89657C22semidirect
144. #89657C22semidirect
145. #89656C22semidirect
146. #89653C22semidirect
147. #89648C22semidirect
148. #89647C22semidirect
149. #89646C22semidirect
150. #89646C22semidirect
152. #89643C22semidirect
154. #89642C22semidirect
155. #89642C22semidirect
156. #89638C22semidirect
157. #89638C22semidirect
158. #89633C22semidirect
159. #89628C22semidirect
160. #89626C22semidirect
162. #89624C22semidirect
163. #89620C22semidirect
165. #89609C22semidirect
166. #89600C22semidirect
168. #89590C22semidirect
169. #89590C22semidirect
171. #89589C22semidirect
172. #89584C22semidirect
173. #89584C22semidirect
174. #89581C22semidirect
175. #89566C22semidirect
176. #89563C22semidirect
178. #89560C22semidirect
182. #89536C22semidirect
183. #89536C22semidirect
184. #89534C22semidirect
185. #89534C22semidirect
186. #89533C22semidirect
187. #89532C22semidirect
188. #89532C22semidirect
189. #89531C22semidirect
190. #89531C22semidirect
191. #89509C22semidirect
192. #89508C22semidirect
195. #89502C22semidirect
196. #89501C22semidirect
197. #89491C22semidirect
198. #89490C22semidirect
199. #89485C22semidirect
201. #89477C22semidirect
202. #89473C22semidirect
491. #3343D7semidirect
730. #552C2×D7semidirect
766. #501C2×D7semidirect
778. #484C2×D7semidirect
780. #483C2×D7semidirect
788. #482C2×D7semidirect
792. #480C2×D7semidirect
800. #478C2×D7semidirect
804. #477C2×D7semidirect
830. #468C2×D7semidirect
834. #465C2×D7semidirect
860. #440C2×D7semidirect
870. #435C2×D7semidirect
877. #428C2×D7semidirect
879. C2×#107C2×D7semidirect
1660. C7#62109semidirect

Maximal subgroups

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

subgroupindex
#117439002
#117437422
C7×#33432
#117410442
#117409632
#117394242
#117394112
#117389262
#117388992
#117388692
#117388572
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C2×#896622
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