Finite Group Databasebeta

← #25979806

Subgroups — #25979806

Order 11008.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148597C211yesmaximal, characteristic, complemented
2#19148541C211yesmaximal, characteristic, complemented
3#19147634C211yesmaximal, characteristic, complemented
4#19147539C211yesmaximal, characteristic, complemented
5#19147369C211yesmaximal, characteristic, complemented
6#19147307C211yesmaximal, characteristic, complemented
7#19147150C211yesmaximal, characteristic, complemented
8#19147064C211yesmaximal, characteristic, complemented
9#19147060C211yesmaximal, characteristic, complemented
10#19146921C211yesmaximal, characteristic, complemented
11#19146795C211yesmaximal, characteristic, complemented
12#19146742C211yesmaximal, characteristic, complemented
13#19146727C211yesmaximal, characteristic, complemented
14#19146607C211yesmaximal, characteristic, complemented
15#19146562C211yesmaximal, characteristic, complemented
16#19146212C211yesmaximal, characteristic, complemented
17#19146142C211yesmaximal, characteristic, complemented
18#19146134C211yesmaximal, characteristic, complemented
19#19145241C211yesmaximal, characteristic, complemented
20#19145186C211yesmaximal, characteristic, complemented
21#19144866C211yesmaximal, characteristic, complemented
22#19144833C211yesmaximal, characteristic, complemented
23#19144798C211yesmaximal, characteristic, complemented
24#19144792C211yesmaximal, characteristic, complemented
25#19144708C211yesmaximal, characteristic, complemented
26#19144684C211yesmaximal, characteristic, complemented
27#19143576C211yesmaximal, characteristic, complemented
28#19143473C211yesmaximal, characteristic, complemented
29#19143429C211yesmaximal, characteristic, complemented
30C4×#13063349C211yesmaximal, characteristic, complemented
31C43×#3179C211yesmaximal, characteristic, complemented
32C2×#13063353C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35#14583631C2211yescharacteristic
36#14583626C2211yescharacteristic, complemented
37#14583610C2211yescharacteristic
38#14583602C2211yescharacteristic, complemented
39#14583601C2211yescharacteristic
40#14583600—21no—
41#14583596C2211yescharacteristic
42#14583594—21no—
43#14583592—21no—
44#14583583C2211yescharacteristic
45#14583579—21no—
46#14583574—21no—
47#14583569C2211yescharacteristic, complemented
48#14583569C2211yescharacteristic, complemented
49#14583567—21no—
50#14583567C2211yescharacteristic
51#14583567C2211yescharacteristic, complemented
52#14583552C2211yescharacteristic
53#14583549C2211yescharacteristic, complemented
54#14583547—21no—
55#14583542—21no—
56#14583542C2211yescharacteristic
57#14583540C2211yescharacteristic
58#14583533C2211yescharacteristic
59#14583501—21no—
60#14583500C2211yescharacteristic
61#14583500C2211yescharacteristic, complemented
62#14583499—21no—
63#14583495—21no—
64#14583485—21no—
65#14583446C2211yescharacteristic, complemented
66#14583444—21no—
67#14583436C2211yescharacteristic
68#14583427C2211yescharacteristic
69#14583426—21no—
70#14583412—21no—
71#123×D43—21no—
72#14583381C2211yescharacteristic
73#14583379C2211yescharacteristic, complemented
74#14583378C2211yescharacteristic, complemented
75#14583373C2211yescharacteristic
76C4×#10621900C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583300C2211yescharacteristic, complemented
80#14583285C2211yescharacteristic, complemented
81#14583274C2211yescharacteristic
82#14583262C2211yescharacteristic
83#14583262C2211yescharacteristic, complemented
84#14583262C2211yescharacteristic, complemented
85#14583260C2211yescharacteristic, complemented
86#14583239C2211yescharacteristic, complemented
87#14583227C2211yescharacteristic, complemented
88#14583226C2211yescharacteristic
89#14583220C2211yescharacteristic, complemented
90#14583220C2211yescharacteristic, complemented
91#14583219C2211yescharacteristic, complemented
92#14583219C2211yescharacteristic, complemented
93#14583216C2211yescharacteristic, complemented
94#14583216C2211yescharacteristic, complemented
95#14583215C2211yescharacteristic
96#14583214C2211yescharacteristic, complemented
97#14583211C2211yescharacteristic, complemented
98#14583209C2211yescharacteristic, complemented
99#14583205C2211yescharacteristic, complemented
100#14583204C2211yescharacteristic, complemented
101#14583202C2211yescharacteristic
102#14583197C2211yescharacteristic, complemented
103#14583197C2211yescharacteristic, complemented
104#14583196C2211yescharacteristic
105#14583196C2211yescharacteristic, complemented
106#14583188C2211yescharacteristic
107#14583187C2211yescharacteristic, complemented
108#14583186C2211yescharacteristic, complemented
109#14583181C2211yescharacteristic, complemented
110#14583153C2211yescharacteristic
111#14583151C2211yescharacteristic
112#14583151C2211yescharacteristic, complemented
113#14583151C2211yescharacteristic, complemented
114#14583148C2211yescharacteristic, complemented
115#14583142C2211yescharacteristic, complemented
116#14583136C2211yescharacteristic, complemented
117#14583132C2211yescharacteristic, complemented
118#14583124C2211yescharacteristic, complemented
119#14583118C2211yescharacteristic, complemented
120#14583116C2211yescharacteristic, complemented
121#14583111C2211yescharacteristic, complemented
122#14583098C2211yescharacteristic
123#14583097C2211yescharacteristic, complemented
124#14583093C2211yescharacteristic
125#14583093C2211yescharacteristic
126#14583092C2211yescharacteristic
127#14583092C2211yescharacteristic, complemented
128#14583091C2211yescharacteristic
129#14583091C2211yescharacteristic, complemented
130#14583059C2211yescharacteristic, complemented
131#14583058C2211yescharacteristic, complemented
132#14583047C2211yescharacteristic
133#14583045C2211yescharacteristic
134#14583045C2211yescharacteristic, complemented
135#14583043C2211yescharacteristic
136#14583042C2211yescharacteristic
137#14583041C2211yescharacteristic, complemented
138#14583034C2211yescharacteristic
139#14583032C2211yescharacteristic
140#14583032C2211yescharacteristic
141#14583031C2211yescharacteristic
142#14583029C2211yescharacteristic, complemented
143#14583027C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583012C2211yescharacteristic, complemented
146#14583011C2211yescharacteristic, complemented
147#14583009C2211yescharacteristic
148#14583009C2211yescharacteristic, complemented
149#14583009C2211yescharacteristic, complemented
150#14583008C2211yescharacteristic
151#14583008C2211yescharacteristic
152#14583004C2211yescharacteristic, complemented
153#14583003C2211yescharacteristic, complemented
154#14583001C2211yescharacteristic
155#14583001C2211yescharacteristic, complemented
156#14582998C2211yescharacteristic
157#14582996C2211yescharacteristic, complemented
158C4×#10621873C2211yescharacteristic
159C4×#10621873C2211yescharacteristic, complemented
160SD16×Dic43C2211yescharacteristic, complemented
161C4×#10621884C2211yescharacteristic, complemented
162#14582986C2211yescharacteristic
163C4×#10621883C2211yescharacteristic, complemented
164C4×D344C2211yescharacteristic
165C4×D344C2211yescharacteristic, complemented
166C4×#10621882C2211yescharacteristic
167C4×#10621882C2211yescharacteristic, complemented
168#14582978C2211yescharacteristic, complemented
169#14582975C2211yescharacteristic
170#14582972C2211yescharacteristic, complemented
171#14582970C2211yescharacteristic
172#14582970C2211yescharacteristic, complemented
173#14582968C2211yescharacteristic, complemented
174#14582961C2211yescharacteristic, complemented
175#14582960C2211yescharacteristic, complemented
176#14582954C2211yescharacteristic, complemented
177#14582941C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#106×D43C2211yescharacteristic, complemented
180#14582902C2211yescharacteristic
181#14582899C2211yescharacteristic
182#14582897C2211yescharacteristic, complemented
183#14582897C2211yescharacteristic, complemented
184#14582896C2211yescharacteristic, complemented
185C2×#13063247C2211yescharacteristic
186#14582853C2211yescharacteristic, complemented
187C4×#10621872C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic
189C43×#540C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic
195C43×#468C2211yescharacteristic, complemented
196C43×#466C2211yescharacteristic
197C43×#465C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210C2×#10621900C2311yescharacteristic
211C22×D172C2311yescharacteristic
212C2×D4×D43—21no—
213C2×D4×D43C2311yescharacteristic
214C22×C4×D43—21no—
215#13063353—24no—
216#13063349—24no—
217#13063346—24no—
218C2×#10621885C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×C8×D43C2311yescharacteristic
234#13063324—21no—
235#13063324C2311yescharacteristic
236#13063321—21no—
237#13063321—21no—
238#13063321—21no—
239#13063321C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320D411yescharacteristic
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318D411yescharacteristic
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315D411yescharacteristic
256#13063314C2311yescharacteristic
257#13063311—21no—
258#13063311—21no—
259#13063311D411yescharacteristic
260#13063310—21no—
261#13063310—21no—
262#13063310—21no—
263#13063310—21no—
264#13063310—21no—
265#13063310D411yescharacteristic
266#13063309—21no—
267#13063309—21no—
268#13063308—21no—
269#13063308—21no—
270#13063307—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063307D411yescharacteristic
277#13063306—21no—
278#13063306—21no—
279#13063305—21no—
280#13063303D411yescharacteristic
281#13063302—21no—
282#13063301—21no—
283#13063301—21no—
284#13063301—21no—
285#13063301C2311yescharacteristic
286#13063300—21no—
287#13063300—21no—
288#13063300C2311yescharacteristic
289#13063300C2311yescharacteristic
290#13063300C2311yescharacteristic
291#13063300C2311yescharacteristic
292#13063299—21no—
293#13063299—21no—
294#13063298—21no—
295#13063298—21no—
296#13063298—21no—
297#13063298—21no—
298#13063298—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298D411yescharacteristic
302#13063297—21no—
303#13063297—21no—
304#13063297—21no—
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063297—21no—
309#13063296—21no—
310#13063296—21no—
311#13063296C2311yescharacteristic
312#13063296C2311yescharacteristic
313#13063296C2311yescharacteristic
314#13063295—21no—
315#13063295—21no—
316#13063295—21no—
317#13063293—21no—
318Q8×Dic43C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322#13063290—21no—
323#13063290C2311yescharacteristic
324#13063290C2311yescharacteristic
325C4×D172—21no—
326C4×D172—21no—
327C4×D172C2311yescharacteristic
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334D4×Dic43—21no—
335D4×Dic43—21no—
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339#13063287—21no—
340#13063287—21no—
341#13063287—21no—
342#13063287—21no—
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43C2311yescharacteristic
350C4×C22⋊D43C2311yescharacteristic
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360#13063284C2311yescharacteristic
361#13063283—21no—
362#13063283—21no—
363#13063283C2311yescharacteristic
364#13063282—21no—
365#13063282—21no—
366#13063282C2311yescharacteristic
367#13063281—21no—
368#13063281—21no—
369C2×C4⋊Dic43C2311yescharacteristic
370C2×Dic43⋊C4—21no—
371C4⋊C4×D43—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C22⋊C4×D43—21no—
378C22⋊C4×D43—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C2×C4×Dic43—21no—
383C42×D43C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063247C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063245C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×D8×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445#127×C43C2311yescharacteristic
446#126×C43—21no—
447#125×C43C2311yescharacteristic
448#124×C43—21no—
449#124×C43C2311yescharacteristic
450#123×C43—21no—
451#123×C43—21no—
452#123×C43—21no—
453C22⋊Q8×C43—21no—
454C22⋊Q8×C43C2311yescharacteristic
455#121×C43—21no—
456#121×C43—21no—
457#121×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464#117×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C23×D43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43C2411yescharacteristic
491C2×D4×C43C2411yescharacteristic
492C2×D4×C43C2411yescharacteristic
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43C2411yescharacteristic
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43C2×D411yescharacteristic
511C2×C22⋊D43C2×D411yescharacteristic
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518#10621902—22no—
519#10621902—41no—
520#10621902—82no—
521#10621900—22no—
522#10621900—22no—
523#10621900—41no—
524#10621900—41no—
525#10621900—82no—
526#10621900—82no—
527D4×D43—22no—
528D4×D43—41no—
529D4×D43—82no—
530#10621898—22no—
531#10621898—41no—
532#10621898—82no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—22no—
540C2×D172—41no—
541C2×D172C2×D411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×D172C2411yescharacteristic
544C2×D172C2411yescharacteristic
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—82no—
559C2×C4×D43C2×D411yescharacteristic
560C2×C4×D43C2×D411yescharacteristic
561C2×C4×D43C2411yescharacteristic
562C2×C4×D43C2411yescharacteristic
563C2×Dic86—21no—
564C2×Dic86C2×D411yescharacteristic
565C2×Dic86C2411yescharacteristic
566SD16×C43—22no—
567SD16×C43—41no—
568D8×C43—22no—
569D8×C43—41no—
570M16×C43—22no—
571C2×C8×C43—41no—
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C2×C8×C43C2411yescharacteristic
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43C2×D411yescharacteristic
582C4⋊C4×C43C2×D411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43C2×D411yescharacteristic
597C22⋊C4×C43C2×D411yescharacteristic
598C42×C43—21no—
599C42×C43C2411yescharacteristic
600C42×C43C2411yescharacteristic
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43C2×D411yescharacteristic
609C22⋊Dic43C2×D411yescharacteristic
610#10621885—22no—
611#10621884—41no—
612#10621883—22no—
613#10621882—22no—
614#10621882—22no—
615#10621882—41no—
616#10621882—41no—
617#10621882—41no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636(C2×D43)⋊C4C2×D411yescharacteristic
637(C2×D43)⋊C4C2×D411yescharacteristic
638(C2×D43)⋊C4C2×D411yescharacteristic
639(C2×D43)⋊C4C2×D411yescharacteristic
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43C2×D411yescharacteristic
646C4⋊Dic43C2×D411yescharacteristic
647C4⋊Dic43C2411yescharacteristic
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684D344—22no—
685D344—22no—
686#10621873—22no—
687#10621873#4114yescomplemented
688#10621872—22no—
689#10621872—41no—
690#10621872—41no—
691C8×D43—22no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43C22×D411yescharacteristic
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—42no—
700C22×D43—42no—
701C22×D43—42no—
702C22×D43—81no—
703C22×D43—81no—
704C22×D43—81no—
705C22×D43C22×D411yescharacteristic
706C22×D43C22×D411yescharacteristic
707Q8×C43—21no—
708Q8×C43—21no—
709Q8×C43—81no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—81no—
717D4×C43—81no—
718D4×C43—81no—
719D4×C43—81no—
720D4×C43—81no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—81no—
729C2×C4×C43—81no—
730C2×C4×C43—81no—
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C2511yescharacteristic
737C22⋊D43—41no—
738C22⋊D43—41no—
739C22⋊D43—42no—
740C22⋊D43—42no—
741C22⋊D43—42no—
742C22⋊D43—42no—
743C22⋊D43—42no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C22⋊D43—81no—
747C22⋊D43—81no—
748C22⋊D43—81no—
749C22⋊D43—81no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—42no—
758C2×Dic43—42no—
759C2×Dic43—42no—
760C2×Dic43—81no—
761C2×Dic43—81no—
762C2×Dic43—81no—
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769D172—21no—
770D172—21no—
771D172—21no—
772D172—21no—
773D172—21no—
774D172—41no—
775D172—42no—
776D172—42no—
777D172—42no—
778D172—81no—
779D172—81no—
780D172—81no—
781D172C2×#4112yes—
782C4×D43—21no—
783C4×D43—21no—
784C4×D43—21no—
785C4×D43—21no—
786C4×D43—41no—
787C4×D43—41no—
788C4×D43—42no—
789C4×D43—42no—
790C4×D43—42no—
791C4×D43—81no—
792C4×D43—81no—
793C4×D43—81no—
794C4×D43—81no—
795C4×D43—81no—
796C4×D43—81no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801Dic86—21no—
802Dic86—41no—
803Dic86—42no—
804Dic86C2×#4112yes—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43C2×#4112yes—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8—21no—
813#61507—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—41no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43C23×D411yescharacteristic
827C2×D43—21no—
828C2×D43—21no—
829C2×D43—21no—
830C2×D43—21no—
831C2×D43—22no—
832C2×D43—21no—
833C2×D43—21no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—84no—
843C2×D43—162no—
844C4×C43—21no—
845C4×C43—21no—
846C4×C43—21no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—41no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43C22×#4111yescharacteristic
855C4×C43#58511yescharacteristic
856Dic43—21no—
857Dic43—21no—
858Dic43—21no—
859Dic43—21no—
860Dic43—22no—
861Dic43—21no—
862Dic43—21no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867#3517—431no—
868#3513—431no—
869#3399—431no—
870#3388—431no—
871#3371—431no—
872#3366—431no—
873#3351—431no—
874#3345—431no—
875#3345—431no—
876#3332—431no—
877#3322—431no—
878#3318—431no—
879#3317—431no—
880#3309—431no—
881#3306—431no—
882#3274—431no—
883#3268—431no—
884#3268—431no—
885#3179D4311yescharacteristic, complemented
886#3176—431no—
887#3171—431no—
888#3125—431no—
889#3122—431no—
890#3119—431no—
891#3119—431no—
892#3111—431no—
893#3109—431no—
894#2967—431no—
895#2952—431no—
896#2946—431no—
897C4×AGL(1,ℤ/8)—431no—
898C2×C43—41no—
899C2×C43—81no—
900C2×C43—81no—
901C2×C43—81no—
902C2×C43D4×#4111yescharacteristic
903C2×C43#358511yescharacteristic
904C2×C43#358511yescharacteristic
905D43—41no—
906D43—41no—
907D43—42no—
908D43—81no—
909D43—81no—
910C2×AGL(1,ℤ/8)—431no—
911C2×AGL(1,ℤ/8)—431no—
912C2×#135—431no—
913#559—431no—
914#557—431no—
915#554—431no—
916#553—431no—
917#553—431no—
918#553—431no—
919#553—861no—
920#553—861no—
921#553—861no—
922#552—431no—
923#551—861no—
924#551—861no—
925#550—431no—
926#550—431no—
927#550—431no—
928#550—431no—
929#550—861no—
930#547—431no—
931#547—431no—
932#547—861no—
933#546—431no—
934#546—431no—
935#546—861no—
936D42—431no—
937#542C2×D4311yescharacteristic
938#540—431no—
939#540—431no—
940#540—861no—
941#540—861no—
942#540C2×D4311yescharacteristic, complemented
943#539—861no—
944#538—861no—
945#532—431no—
946#532—861no—
947#529—431no—
948#529—431no—
949#529—861no—
950#525—861no—
951C2×#123—861no—
952#520—431no—
953#520—431no—
954#520—431no—
955#518—431no—
956C4×#41—431no—
957C2×C4×D4—431no—
958#501—431no—
959#501C2×D4311yescharacteristic, complemented
960#499—431no—
961#496—431no—
962#496C2×D4311yescharacteristic, complemented
963#493—431no—
964#490—431no—
965#490—431no—
966#490—431no—
967#489—431no—
968#488C2×D4311yescharacteristic, complemented
969#486C2×D4311yescharacteristic, complemented
970#485—431no—
971#483—431no—
972#482—431no—
973#482—431no—
974#482—431no—
975#481—431no—
976#481—431no—
977#481—431no—
978#481—431no—
979#481—431no—
980#480—431no—
981#480—431no—
982#479—431no—
983#479—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#476—431no—
991#476—431no—
992#476—431no—
993#475—431no—
994#469—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469C2×D4311yescharacteristic
999#468—431no—
1000#468—431no—
1001#468C2×D4311yescharacteristic, complemented
1002#466—431no—
1003#466—431no—
1004#466C2×D4311yescharacteristic
1005#465C2×D4311yescharacteristic, complemented
1006#464—431no—
1007#464—431no—
1008#463—431no—
1009#463—431no—
1010#460—431no—
1011#460—431no—
1012#459—431no—
1013#459—431no—
1014#459—431no—
1015#459—431no—
1016#459—431no—
1017#459—431no—
1018#452—431no—
1019#452—431no—
1020#449—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449—431no—
1025#449—431no—
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447—431no—
1030#446—431no—
1031#446—431no—
1032#442—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442C2×D4311yescharacteristic, complemented
1041#441—431no—
1042#441—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440C2×D4311yescharacteristic, complemented
1048C4×SD16—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16C2×D4311yescharacteristic, complemented
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8C2×D4311yescharacteristic, complemented
1060#436—431no—
1061#436—431no—
1062#435—431no—
1063#435—431no—
1064#435—431no—
1065#435—431no—
1066#433—431no—
1067#433—431no—
1068#432—431no—
1069#428—431no—
1070#428—431no—
1071C2×#106—431no—
1072#418—431no—
1073#417—431no—
1074#417—431no—
1075#417—431no—
1076#416—431no—
1077C2×#102—431no—
1078#405—431no—
1079#405C2×D4311yescharacteristic, complemented
1080C4×M16—431no—
1081C43#6150711yescharacteristic, complemented, Sylow
1082C2×#41—431no—
1083C2×#41—431no—
1084C2×#41—431no—
1085C2×#41—431no—
1086C2×#41—861no—
1087C2×#41—861no—
1088C2×#41—861no—
1089C2×#41—861no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—861no—
1093C23×C4—861no—
1094AGL(1,ℤ/8)—864no—
1095AGL(1,ℤ/8)—864no—
1096#135—864no—
1097C2×Q16—431no—
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16—431no—
1101C2×SD16—431no—
1102C2×SD16C22×D4311yescharacteristic
1103C2×SD16C22×D4311yescharacteristic
1104C2×D8—431no—
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8—431no—
1110C2×D8—431no—
1111C2×D8C22×D4311yescharacteristic
1112C2×D8C22×D4311yescharacteristic
1113C2×M16—431no—
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16C22×D4311yescharacteristic
1117C22×C8—431no—
1118C22×C8C22×D4311yescharacteristic
1119C4⋊Q8—431no—
1120C4⋊Q8—861no—
1121C4⋊Q8C22×D4311yescharacteristic
1122#127—431no—
1123#127—431no—
1124#127—431no—
1125#127—861no—
1126#127—861no—
1127#127—861no—
1128#127C22×D4311yescharacteristic
1129#126—21no—
1130#126—431no—
1131#126—431no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—431no—
1141#125—861no—
1142#125—861no—
1143#125—861no—
1144#125C22×D4311yescharacteristic
1145#124—21no—
1146#124—431no—
1147#124—431no—
1148#124—861no—
1149#124—861no—
1150#124C22×D4311yescharacteristic
1151#123—21no—
1152#123—21no—
1153#123—21no—
1154#123—431no—
1155#123—431no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173C22⋊Q8—21no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8C22×D4311yescharacteristic
1182#121—21no—
1183#121—21no—
1184#121—431no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—861no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121C22×D4311yescharacteristic
1213#121C22×D4311yescharacteristic
1214#121C22×D4311yescharacteristic
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—861no—
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—431no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—861no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4C22×D4311yescharacteristic
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—861no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117C22×D4311yescharacteristic
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—431no—
1278C2×C4⋊C4—431no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4—861no—
1281C2×C4⋊C4—861no—
1282C2×C4⋊C4—861no—
1283C2×C22⋊C4—861no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C42—431no—
1289C2×C42—861no—
1290#107—431no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107C22×D4311yescharacteristic
1295#107C22×D4311yescharacteristic
1296#106—431no—
1297#106—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106C22×D4311yescharacteristic
1305#106C22×D4311yescharacteristic
1306C4⋊C8—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8—431no—
1312#103—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103C22×D4311yescharacteristic
1319#103C22×D4311yescharacteristic
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102C22×D4311yescharacteristic
1339#102C22×D4311yescharacteristic
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344C22⋊C8—431no—
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8—431no—
1349C22⋊C8—431no—
1350#97—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97C22×D4311yescharacteristic
1355#97C22×D4311yescharacteristic
1356C4×C8—431no—
1357C4×C8—431no—
1358C4×C8C22×D4311yescharacteristic
1359C4×C8C22×D4311yescharacteristic
1360C24—861no—
1361C24—861no—
1362#41—862no—
1363#41—862no—
1364#41—862no—
1365#41—862no—
1366#41—3442no—
1367#41—3442no—
1368#41—3442no—
1369#41—3442no—
1370#41—1721no—
1371#41—1721no—
1372#41—1721no—
1373#41—1721no—
1374C2×Q8—21no—
1375C2×Q8—431no—
1376C2×Q8—431no—
1377C2×Q8—861no—
1378C2×Q8C23×D4311yescharacteristic
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—431no—
1385C2×D4—431no—
1386C2×D4—431no—
1387C2×D4—431no—
1388C2×D4—431no—
1389C2×D4—431no—
1390C2×D4—862no—
1391C2×D4—861no—
1392C2×D4—861no—
1393C2×D4—861no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—862no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—3442no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—431no—
1421C22×C4—431no—
1422C22×C4—431no—
1423C22×C4—431no—
1424C22×C4—861no—
1425C22×C4—861no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—3442no—
1444C22×C4C23×D4311yescharacteristic
1445Q16—862no—
1446SD16—22no—
1447SD16—41no—
1448SD16—434no—
1449SD16—862no—
1450SD16—862no—
1451SD16—1721no—
1452D8—22no—
1453D8—41no—
1454D8—862no—
1455D8—862no—
1456D8—862no—
1457D8—862no—
1458D8—1721no—
1459D8—1721no—
1460D8—1721no—
1461M16—22no—
1462M16—862no—
1463M16—1721no—
1464M16—1721no—
1465C2×C8—41no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—431no—
1470C2×C8—862no—
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C2×C8C23×D4311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—431no—
1491C4⋊C4—431no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4D4×D4311yescharacteristic
1510C4⋊C4D4×D4311yescharacteristic
1511C4⋊C4C23×D4311yescharacteristic
1512C4⋊C4C23×D4311yescharacteristic
1513C4⋊C4C23×D4311yescharacteristic
1514C4⋊C4C23×D4311yescharacteristic
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—431no—
1529C22⋊C4—431no—
1530C22⋊C4—431no—
1531C22⋊C4—431no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4D4×D4311yescharacteristic
1556C22⋊C4D4×D4311yescharacteristic
1557C42—21no—
1558C42—431no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—861no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42C23×D4311yescharacteristic
1570C42C23×D4311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—431no—
1575C23—431no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—3441no—
1580C23—3441no—
1581C23—3441no—
1582C23—1722no—
1583C23—1722no—
1584C23—1722no—
1585C23C2×D4×D4311yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—81no—
1589Q8—432no—
1590Q8—861no—
1591Q8—1721no—
1592Q8—1722no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—81no—
1600D4—81no—
1601D4—81no—
1602D4—81no—
1603D4—81no—
1604D4—432no—
1605D4—861no—
1606D4—861no—
1607D4—861no—
1608D4—861no—
1609D4—861no—
1610D4—3441no—
1611D4—3441no—
1612D4—3441no—
1613D4—3441no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—1721no—
1622D4—1722no—
1623D4—1722no—
1624D4—1722no—
1625D4—1721no—
1626D4—1721no—
1627D4—1722no—
1628D4—1722no—
1629D4—1722no—
1630D4—1722no—
1631D4—1722no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—431no—
1643C2×C4—431no—
1644C2×C4—431no—
1645C2×C4—431no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—861no—
1649C2×C4—861no—
1650C2×C4—861no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—3441no—
1658C2×C4—3441no—
1659C2×C4—3441no—
1660C2×C4—3441no—
1661C2×C4—3441no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—1721no—
1671C2×C4—1721no—
1672C2×C4—1722no—
1673C2×C4—1722no—
1674C2×C4—1722no—
1675C2×C4—1722no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4C2×D4×D4311yescharacteristic
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C24×D4311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—861no—
1688C8—861no—
1689C8—861no—
1690C8—861no—
1691C8#41×D4312yes—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—861no—
1705C22—861no—
1706C22—862no—
1707C22—861no—
1708C22—861no—
1709C22—861no—
1710C22—861no—
1711C22—3444no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—6882no—
1721C22C22×D4×D4311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—861no—
1733C4—861no—
1734C4—862no—
1735C4—861no—
1736C4—861no—
1737C4—861no—
1738C4—861no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4C2×#41×D4311yescharacteristic
1744C4#1458373511yescharacteristic
1745C2—41no—
1746C2—81no—
1747C2—81no—
1748C2—81no—
1749C2—3441no—
1750C2—3441no—
1751C2—1721no—
1752C2—1721no—
1753C2—1722no—
1754C2#1914808111yescharacteristic
1755C2#1914937011yescharacteristic
1756C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3179C2
socleC22×C43C23×D4
hypercenter#3179D43
hypocenterC43#61507
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #19148597C2semidirect
2. #19148541C2semidirect
3. #19147634C2semidirect
4. #19147539C2semidirect
5. #19147369C2semidirect
6. #19147307C2semidirect
7. #19147150C2semidirect
8. #19147064C2semidirect
9. #19147060C2semidirect
10. #19146921C2semidirect
11. #19146795C2semidirect
12. #19146742C2semidirect
13. #19146727C2semidirect
14. #19146607C2semidirect
15. #19146562C2semidirect
16. #19146212C2semidirect
17. #19146142C2semidirect
18. #19146134C2semidirect
19. #19145241C2semidirect
20. #19145186C2semidirect
21. #19144866C2semidirect
22. #19144833C2semidirect
23. #19144798C2semidirect
24. #19144792C2semidirect
25. #19144708C2semidirect
26. #19144684C2semidirect
27. #19143576C2semidirect
28. #19143473C2semidirect
29. #19143429C2semidirect
30. C4×#13063349C2semidirect
31. C43×#3179C2semidirect
36. #14583626C22semidirect
38. #14583602C22semidirect
47. #14583569C22semidirect
48. #14583569C22semidirect
51. #14583567C22semidirect
53. #14583549C22semidirect
61. #14583500C22semidirect
65. #14583446C22semidirect
73. #14583379C22semidirect
74. #14583378C22semidirect
76. C4×#10621900C22semidirect
78. #14583306C22semidirect
79. #14583300C22semidirect
80. #14583285C22semidirect
83. #14583262C22semidirect
84. #14583262C22semidirect
85. #14583260C22semidirect
86. #14583239C22semidirect
87. #14583227C22semidirect
89. #14583220C22semidirect
90. #14583220C22semidirect
91. #14583219C22semidirect
92. #14583219C22semidirect
93. #14583216C22semidirect
94. #14583216C22semidirect
96. #14583214C22semidirect
97. #14583211C22semidirect
98. #14583209C22semidirect
99. #14583205C22semidirect
100. #14583204C22semidirect
102. #14583197C22semidirect
103. #14583197C22semidirect
105. #14583196C22semidirect
107. #14583187C22semidirect
108. #14583186C22semidirect
109. #14583181C22semidirect
112. #14583151C22semidirect
113. #14583151C22semidirect
114. #14583148C22semidirect
115. #14583142C22semidirect
116. #14583136C22semidirect
117. #14583132C22semidirect
118. #14583124C22semidirect
119. #14583118C22semidirect
120. #14583116C22semidirect
121. #14583111C22semidirect
123. #14583097C22semidirect
127. #14583092C22semidirect
129. #14583091C22semidirect
130. #14583059C22semidirect
131. #14583058C22semidirect
134. #14583045C22semidirect
137. #14583041C22semidirect
142. #14583029C22semidirect
143. #14583027C22semidirect
145. #14583012C22semidirect
146. #14583011C22semidirect
148. #14583009C22semidirect
149. #14583009C22semidirect
152. #14583004C22semidirect
153. #14583003C22semidirect
155. #14583001C22semidirect
157. #14582996C22semidirect
159. C4×#10621873C22semidirect
160. SD16×Dic43C22semidirect
161. C4×#10621884C22semidirect
163. C4×#10621883C22semidirect
165. C4×D344C22semidirect
167. C4×#10621882C22semidirect
168. #14582978C22semidirect
170. #14582972C22semidirect
172. #14582970C22semidirect
173. #14582968C22semidirect
174. #14582961C22semidirect
175. #14582960C22semidirect
176. #14582954C22semidirect
177. #14582941C22semidirect
178. #14582940C22semidirect
179. #106×D43C22semidirect
182. #14582897C22semidirect
183. #14582897C22semidirect
184. #14582896C22semidirect
186. #14582853C22semidirect
187. C4×#10621872C22semidirect
189. C43×#540C22semidirect
190. C43×#501C22semidirect
191. C43×#496C22semidirect
192. C43×#488C22semidirect
193. C43×#486C22semidirect
195. C43×#468C22semidirect
197. C43×#465C22semidirect
198. C43×#442C22semidirect
199. C43×#440C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#405C22semidirect
687. #10621873#41semidirect
885. #3179D43semidirect
942. #540C2×D43semidirect
959. #501C2×D43semidirect
962. #496C2×D43semidirect
968. #488C2×D43semidirect
969. #486C2×D43semidirect
1001. #468C2×D43semidirect
1005. #465C2×D43semidirect
1040. #442C2×D43semidirect
1047. #440C2×D43semidirect
1054. C4×SD16C2×D43semidirect
1059. C4×D8C2×D43semidirect
1079. #405C2×D43semidirect
1081. C43#61507semidirect

Maximal subgroups

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

subgroupindex
#191485972
#191485412
#191476342
#191475392
#191473692
#191473072
#191471502
#191470642
#191470602
#191469212
#191467952
#191467422
#191467272
#191466072
#191465622
#191462122
#191461422
#191461342
#191452412
#191451862
#191448662
#191448332
#191447982
#191447922
#191447082
#191446842
#191435762
#191434732
#191434292
C4×#130633492
C43×#31792
#6150743