Finite Group Databasebeta

← #25979851

Subgroups — #25979851

Order 11008.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148694C211yesmaximal, characteristic, complemented
2#19148639C211yesmaximal, characteristic, complemented
3#19147660C211yesmaximal, characteristic, complemented
4#19147513C211yesmaximal, characteristic, complemented
5#19147432C211yesmaximal, characteristic, complemented
6#19147384C211yesmaximal, characteristic, complemented
7#19147216C211yesmaximal, characteristic, complemented
8#19147064C211yesmaximal, characteristic, complemented
9#19147045C211yesmaximal, characteristic, complemented
10#19146928C211yesmaximal, characteristic, complemented
11#19146817C211yesmaximal, characteristic, complemented
12#19146746C211yesmaximal, characteristic, complemented
13#19146701C211yesmaximal, characteristic, complemented
14#19146585C211yesmaximal, characteristic, complemented
15#19146570C211yesmaximal, characteristic, complemented
16#19146223C211yesmaximal, characteristic, complemented
17#19146149C211yesmaximal, characteristic, complemented
18#19146142C211yesmaximal, characteristic, complemented
19#19145274C211yesmaximal, characteristic, complemented
20#19145236C211yesmaximal, characteristic, complemented
21#19144868C211yesmaximal, characteristic, complemented
22#19144863C211yesmaximal, characteristic, complemented
23#19144830C211yesmaximal, characteristic, complemented
24#19144800C211yesmaximal, characteristic, complemented
25#19144751C211yesmaximal, characteristic, complemented
26#19144729C211yesmaximal, characteristic, complemented
27#19143580C211yesmaximal, characteristic, complemented
28#19143473C211yesmaximal, characteristic, complemented
29#19143433C211yesmaximal, characteristic, complemented
30C4×#13063353C211yesmaximal, characteristic, complemented
31C43×#3172C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063353C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35#14583632—21no—
36#14583631C2211yescharacteristic, complemented
37#14583626C2211yescharacteristic, complemented
38#14583623C2211yescharacteristic
39#14583613C2211yescharacteristic
40#14583612—21no—
41#14583607C2211yescharacteristic
42#14583607C2211yescharacteristic
43#14583602C2211yescharacteristic, complemented
44#14583598—21no—
45#14583590—21no—
46#14583583C2211yescharacteristic
47#14583582—21no—
48#14583573—21no—
49#14583573—21no—
50#14583567C2211yescharacteristic
51#14583564C2211yescharacteristic
52#14583561—21no—
53#14583559C2211yescharacteristic
54#14583557C2211yescharacteristic, complemented
55#14583552C2211yescharacteristic
56#14583552C2211yescharacteristic
57#14583540C2211yescharacteristic
58#14583540C2211yescharacteristic
59#14583521C2211yescharacteristic
60#14583521C2211yescharacteristic
61#14583521C2211yescharacteristic, complemented
62#14583517—21no—
63#14583501—21no—
64#14583500C2211yescharacteristic, complemented
65#14583497—21no—
66#14583497—21no—
67#14583433C2211yescharacteristic
68#14583432—21no—
69#14583432—21no—
70#14583412—21no—
71C22⋊Q8×D43—21no—
72#14583381C2211yescharacteristic
73#14583381C2211yescharacteristic
74#14583378C2211yescharacteristic, complemented
75#14583375C2211yescharacteristic, complemented
76C4×#10621898C2211yescharacteristic
77C2×C4×D172C2211yescharacteristic
78#14583306C2211yescharacteristic, complemented
79#14583303C2211yescharacteristic, complemented
80#14583285C2211yescharacteristic
81#14583284C2211yescharacteristic
82#14583260C2211yescharacteristic
83#14583260C2211yescharacteristic, complemented
84#14583255C2211yescharacteristic
85#14583244C2211yescharacteristic, complemented
86#14583238C2211yescharacteristic, complemented
87#14583237C2211yescharacteristic
88#14583237C2211yescharacteristic
89#14583233C2211yescharacteristic, complemented
90#14583228C2211yescharacteristic, complemented
91#14583227C2211yescharacteristic
92#14583226C2211yescharacteristic
93#14583219C2211yescharacteristic
94#14583219C2211yescharacteristic, complemented
95#14583214C2211yescharacteristic, complemented
96#14583211C2211yescharacteristic, complemented
97#14583210C2211yescharacteristic
98#14583208C2211yescharacteristic, complemented
99#14583198C2211yescharacteristic
100#14583196C2211yescharacteristic
101#14583196C2211yescharacteristic
102#14583193C2211yescharacteristic, complemented
103#14583192C2211yescharacteristic, complemented
104#14583191C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic, complemented
106#14583186C2211yescharacteristic, complemented
107#14583183C2211yescharacteristic, complemented
108#14583182C2211yescharacteristic, complemented
109#14583178C2211yescharacteristic
110#14583153C2211yescharacteristic
111#14583148C2211yescharacteristic
112#14583148C2211yescharacteristic, complemented
113#14583142C2211yescharacteristic, complemented
114#14583137C2211yescharacteristic, complemented
115#14583136C2211yescharacteristic
116#14583134C2211yescharacteristic
117#14583131C2211yescharacteristic, complemented
118#14583124C2211yescharacteristic
119#14583124C2211yescharacteristic
120#14583123C2211yescharacteristic
121#14583123C2211yescharacteristic, complemented
122#14583117C2211yescharacteristic
123#14583116C2211yescharacteristic
124#14583111C2211yescharacteristic
125#14583111C2211yescharacteristic
126#14583106C2211yescharacteristic, complemented
127#14583101C2211yescharacteristic, complemented
128#14583097C2211yescharacteristic, complemented
129#14583093C2211yescharacteristic
130#14583060C2211yescharacteristic
131#14583059C2211yescharacteristic
132#14583059C2211yescharacteristic
133#14583058C2211yescharacteristic, complemented
134#14583053C2211yescharacteristic, complemented
135#14583049C2211yescharacteristic
136#14583047C2211yescharacteristic
137#14583047C2211yescharacteristic
138#14583045C2211yescharacteristic
139#14583043C2211yescharacteristic
140#14583039C2211yescharacteristic
141#14583032C2211yescharacteristic
142#14583027C2211yescharacteristic, complemented
143#14583027C2211yescharacteristic, complemented
144#14583012C2211yescharacteristic
145#14583012C2211yescharacteristic
146#14583009C2211yescharacteristic
147#14583009C2211yescharacteristic
148#14583008C2211yescharacteristic
149#14583006C2211yescharacteristic, complemented
150#14583004C2211yescharacteristic, complemented
151#14583004C2211yescharacteristic, complemented
152#14583003C2211yescharacteristic, complemented
153#14583001C2211yescharacteristic
154#14583001C2211yescharacteristic
155#14582998C2211yescharacteristic
156#14582997C2211yescharacteristic
157#14582997C2211yescharacteristic
158#14582997C2211yescharacteristic, complemented
159#14582997C2211yescharacteristic, complemented
160#14582991C2211yescharacteristic, complemented
161C4×#10621873C2211yescharacteristic
162C4×#10621873C2211yescharacteristic
163SD16×Dic43C2211yescharacteristic, complemented
164#14582986C2211yescharacteristic
165#14582984C2211yescharacteristic
166C4×D344C2211yescharacteristic
167C4×D344C2211yescharacteristic
168#14582975C2211yescharacteristic
169#14582975C2211yescharacteristic
170#14582972C2211yescharacteristic, complemented
171#14582972C2211yescharacteristic, complemented
172#14582968C2211yescharacteristic
173#14582968C2211yescharacteristic
174#14582958C2211yescharacteristic, complemented
175#14582958C2211yescharacteristic, complemented
176#14582956C2211yescharacteristic
177#14582941C2211yescharacteristic
178#14582940C2211yescharacteristic, complemented
179#106×D43C2211yescharacteristic, complemented
180#14582905C2211yescharacteristic
181#14582901C2211yescharacteristic
182#14582899C2211yescharacteristic
183#14582897C2211yescharacteristic, complemented
184#14582894C2211yescharacteristic
185#103×D43C2211yescharacteristic, complemented
186#14582853C2211yescharacteristic, complemented
187#14582853C2211yescharacteristic, complemented
188C43×#533C2211yescharacteristic
189C43×#529C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#497C2211yescharacteristic, complemented
192C43×#491C2211yescharacteristic, complemented
193C43×#489C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic
195C43×#470C2211yescharacteristic
196C43×#468C2211yescharacteristic
197C43×#468C2211yescharacteristic
198C4×Q16×C43C2211yescharacteristic, complemented
199C4×Q16×C43C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C4×M16×C43C2211yescharacteristic
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621900C2311yescharacteristic
208C2×Q8×D43—21no—
209C2×Q8×D43C2311yescharacteristic
210C22×D172C2311yescharacteristic
211C22×C4×D43—21no—
212#13063357—24no—
213#13063353—24no—
214#13063346—24no—
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231#13063324—21no—
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063321—21no—
236#13063321C2311yescharacteristic
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063319—21no—
241#13063319—21no—
242#13063319—21no—
243#13063319D411yescharacteristic
244#13063319D411yescharacteristic
245#13063318—21no—
246#13063317D411yescharacteristic
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063314C2311yescharacteristic
254#13063314C2311yescharacteristic
255#13063314C2311yescharacteristic
256#13063313—21no—
257#13063313—21no—
258#13063313—21no—
259#13063313D411yescharacteristic
260#13063312—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063310—21no—
266#13063310—21no—
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063309—21no—
276#13063308—21no—
277#13063308D411yescharacteristic
278#13063308D411yescharacteristic
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063305—21no—
283#13063305—21no—
284#13063305—21no—
285#13063304D411yescharacteristic
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063301—21no—
296#13063301—21no—
297#13063301C2311yescharacteristic
298#13063301C2311yescharacteristic
299#13063301C2311yescharacteristic
300#13063300—21no—
301#13063300—21no—
302#13063300—21no—
303#13063300—21no—
304#13063300C2311yescharacteristic
305#13063300C2311yescharacteristic
306#13063300C2311yescharacteristic
307#13063300C2311yescharacteristic
308#13063299—21no—
309#13063299D411yescharacteristic
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063297—21no—
315#13063297—21no—
316#13063296C2311yescharacteristic
317#13063295—21no—
318#13063295—21no—
319Q8×Dic43C2311yescharacteristic
320Q8×Dic43C2311yescharacteristic
321Q8×Dic43C2311yescharacteristic
322C4×Dic86—21no—
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326#13063290—21no—
327#13063290—21no—
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330C4×D172—21no—
331C4×D172—21no—
332C4×D172—21no—
333C4×D172—21no—
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338C4×D172C2311yescharacteristic
339C4×D172C2311yescharacteristic
340C4×D172C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342#13063287—21no—
343#13063287—21no—
344#13063287—21no—
345#13063287—21no—
346#13063287C2311yescharacteristic
347#13063287C2311yescharacteristic
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43C2311yescharacteristic
352C4×C22⋊D43C2311yescharacteristic
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#13063284C2311yescharacteristic
360#13063283—21no—
361#13063283—21no—
362#13063283—21no—
363#13063283C2311yescharacteristic
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282—21no—
368#13063282C2311yescharacteristic
369#13063282C2311yescharacteristic
370#13063281—21no—
371#13063281—21no—
372C2×C4⋊Dic43C2311yescharacteristic
373C2×Dic43⋊C4—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43C2311yescharacteristic
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C2×(C2×D43)⋊C4—21no—
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C42×D43—21no—
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
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#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
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#13063236C2311yescharacteristic
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×Q16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×M16×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C4⋊Q8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#126×C43—21no—
447#125×C43—21no—
448#125×C43C2311yescharacteristic
449#124×C43C2311yescharacteristic
450#123×C43—21no—
451C22⋊Q8×C43—21no—
452C22⋊Q8×C43C2311yescharacteristic
453C22⋊Q8×C43C2311yescharacteristic
454C22⋊Q8×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456C4×Q8×C43—21no—
457C4×Q8×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×Q8×C43C2311yescharacteristic
460C4×D4×C43—21no—
461C4×D4×C43C2311yescharacteristic
462#117×C43—21no—
463#117×C43—21no—
464C2×C42×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#97×C43C2311yescharacteristic
478#97×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43C2×D411yescharacteristic
490C22×C4×C43C2×D411yescharacteristic
491C22×C4×C43C2411yescharacteristic
492C2×C22⋊D43—21no—
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43C2×D411yescharacteristic
498C2×C22⋊D43C2×D411yescharacteristic
499C22×Dic43—21no—
500C22×Dic43—21no—
501C22×Dic43—21no—
502#10621902—22no—
503#10621902—22no—
504#10621902—41no—
505#10621902—41no—
506#10621902—82no—
507Q8×D43—22no—
508Q8×D43—41no—
509Q8×D43—82no—
510#10621900—22no—
511#10621900—41no—
512#10621898—22no—
513#10621898—41no—
514C2×D172—21no—
515C2×D172—21no—
516C2×D172—21no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—22no—
522C2×D172—41no—
523C2×D172C2×D411yescharacteristic
524C2×D172C2411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×D172C2411yescharacteristic
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—21no—
542C2×C4×D43—82no—
543C2×C4×D43C2411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86—21no—
549C2×Dic86C2×D411yescharacteristic
550C2×Dic86C2411yescharacteristic
551Q16×C43—22no—
552Q16×C43—41no—
553SD16×C43—22no—
554SD16×C43—41no—
555M16×C43—22no—
556M16×C43—41no—
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C2×C8×C43C2411yescharacteristic
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C42×C43—21no—
584C42×C43—21no—
585C42×C43—21no—
586C42×C43C2×D411yescharacteristic
587C42×C43C2×D411yescharacteristic
588C42×C43C2411yescharacteristic
589C42×C43C2411yescharacteristic
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43C2×D411yescharacteristic
594C22⋊Dic43C2×D411yescharacteristic
595#10621885—22no—
596#10621885—22no—
597#10621884—22no—
598#10621884—41no—
599#10621884—41no—
600#10621884—41no—
601#10621882—22no—
602#10621882—41no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627(C2×D43)⋊C4C2×D411yescharacteristic
628(C2×D43)⋊C4C2×D411yescharacteristic
629(C2×D43)⋊C4C2×D411yescharacteristic
630(C2×D43)⋊C4C2×D411yescharacteristic
631(C2×D43)⋊C4C2×D411yescharacteristic
632(C2×D43)⋊C4C2×D411yescharacteristic
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43C2×D411yescharacteristic
639C4⋊Dic43C2×D411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678C2×C43⋊C8C2411yescharacteristic
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681D344—22no—
682D344—22no—
683#10621873—22no—
684#10621873#4114yescomplemented
685#10621872—22no—
686#10621872—41no—
687C8×D43—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43C22×D411yescharacteristic
691C22×D43—21no—
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—42no—
695C22×D43—42no—
696C22×D43—81no—
697C22×D43C22×D411yescharacteristic
698C22×D43C22×D411yescharacteristic
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—21no—
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—42no—
706D4×C43—21no—
707D4×C43—21no—
708D4×C43—81no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—41no—
719C2×C4×C43—41no—
720C2×C4×C43—81no—
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C2511yescharacteristic
727C22⋊D43—41no—
728C22⋊D43—41no—
729C22⋊D43—42no—
730C22⋊D43—42no—
731C22⋊D43—81no—
732C22⋊D43—81no—
733C22⋊D43—81no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—42no—
740C2×Dic43—81no—
741C2×Dic43—81no—
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748D172—21no—
749D172—21no—
750D172—21no—
751D172—21no—
752D172—21no—
753D172—41no—
754D172—42no—
755D172—42no—
756D172—42no—
757D172—81no—
758D172—81no—
759D172—81no—
760D172—81no—
761D172C2×#4112yes—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—42no—
767C4×D43—42no—
768C4×D43—42no—
769C4×D43—42no—
770C4×D43—42no—
771C4×D43—42no—
772C4×D43—81no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781Dic86—21no—
782Dic86—41no—
783Dic86—42no—
784Dic86—81no—
785Dic86—81no—
786Dic86—81no—
787Dic86C2×#4112yes—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43C2×#4112yes—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8—21no—
796#61508—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43C23×D411yescharacteristic
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—22no—
809C2×D43—21no—
810C2×D43—21no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—84no—
820C4×C43—21no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43—41no—
832C4×C43C22×#4111yescharacteristic
833C4×C43#58511yescharacteristic
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—22no—
839Dic43—21no—
840Dic43—21no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845#3524—431no—
846#3520—431no—
847#3401—431no—
848#3386—431no—
849#3377—431no—
850#3373—431no—
851#3357—431no—
852#3345—431no—
853#3344—431no—
854#3333—431no—
855#3323—431no—
856#3319—431no—
857#3316—431no—
858#3308—431no—
859#3307—431no—
860#3275—431no—
861#3269—431no—
862#3268—431no—
863#3179—431no—
864#3175—431no—
865#3172D4311yescharacteristic, complemented
866#3125—431no—
867#3124—431no—
868#3121—431no—
869#3119—431no—
870#3116—431no—
871#3114—431no—
872#2967—431no—
873#2952—431no—
874#2947—431no—
875C4×AGL(1,ℤ/8)—431no—
876C2×C43—41no—
877C2×C43—81no—
878C2×C43D4×#4111yescharacteristic
879C2×C43#358511yescharacteristic
880C2×C43#358611yescharacteristic
881D43—41no—
882D43—41no—
883D43—42no—
884D43—81no—
885D43—81no—
886C2×#137—431no—
887C2×AGL(1,ℤ/8)—431no—
888C2×#135—431no—
889#559—431no—
890#559—861no—
891#557—431no—
892#556—431no—
893#555—431no—
894#555—861no—
895#554—431no—
896#554—431no—
897#553—431no—
898#553—861no—
899#552—431no—
900#552—861no—
901#552—861no—
902#551—861no—
903#551—861no—
904#550—431no—
905D4×Q8—431no—
906#548—431no—
907#548—431no—
908#548—861no—
909#547—431no—
910#547—431no—
911#546—431no—
912#546—431no—
913#542—431no—
914#542—431no—
915#542—431no—
916#542—861no—
917#540—431no—
918#540—861no—
919#539—861no—
920#539—861no—
921#533C2×D4311yescharacteristic
922#529—431no—
923#529—861no—
924#529—861no—
925#529C2×D4311yescharacteristic
926#525—861no—
927C2×C22⋊Q8—861no—
928#520—431no—
929#520—431no—
930#520—431no—
931#519—431no—
932C4×#41—431no—
933C2×C4×D4—431no—
934#501—431no—
935#501C2×D4311yescharacteristic, complemented
936#500—431no—
937#497C2×D4311yescharacteristic, complemented
938#496—431no—
939#495—431no—
940#491C2×D4311yescharacteristic, complemented
941#489—431no—
942#489—431no—
943#489C2×D4311yescharacteristic, complemented
944#488—431no—
945#486—431no—
946#485—431no—
947#485—431no—
948#485—431no—
949#484—431no—
950#483—431no—
951#483—431no—
952#482—431no—
953#481—431no—
954#481—431no—
955#480—431no—
956#480—431no—
957#480—431no—
958#479—431no—
959#478—431no—
960#478—431no—
961#478—431no—
962#477—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#476—431no—
967#475—431no—
968#475—431no—
969#474—431no—
970#470C2×D4311yescharacteristic
971#470C2×D4311yescharacteristic
972#469—431no—
973#468—431no—
974#468—431no—
975#468—431no—
976#468C2×D4311yescharacteristic
977#468C2×D4311yescharacteristic
978#467—431no—
979#466—431no—
980#466—431no—
981#465—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463—431no—
990#462—431no—
991#461—431no—
992#460—431no—
993#459—431no—
994#452—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#451—431no—
999#450—431no—
1000#449—431no—
1001#449—431no—
1002#449—431no—
1003#449—431no—
1004#448—431no—
1005#447—431no—
1006#446—431no—
1007#446—431no—
1008#442—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#441—431no—
1015#441—431no—
1016#441—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024C4×Q16—431no—
1025C4×Q16C2×D4311yescharacteristic, complemented
1026C4×Q16C2×D4311yescharacteristic, complemented
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16C2×D4311yescharacteristic, complemented
1033C4×SD16C2×D4311yescharacteristic, complemented
1034C4×D8—431no—
1035C4×D8—431no—
1036#436—431no—
1037#436—431no—
1038#435—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#433—431no—
1043#433—431no—
1044#432—431no—
1045#428—431no—
1046#428—431no—
1047C2×#106—431no—
1048#418—431no—
1049#417—431no—
1050#417—431no—
1051#417—431no—
1052#416—431no—
1053C2×#103—431no—
1054#405—431no—
1055#405—431no—
1056C4×M16C2×D4311yescharacteristic
1057C43#6150811yescharacteristic, complemented, Sylow
1058C2×#41—431no—
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—861no—
1063C22×Q8—431no—
1064C22×Q8—861no—
1065C22×D4—431no—
1066C23×C4—861no—
1067#137—864no—
1068AGL(1,ℤ/8)—864no—
1069#135—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16C22×D4311yescharacteristic
1073C2×Q16C22×D4311yescharacteristic
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16C22×D4311yescharacteristic
1081C2×SD16C22×D4311yescharacteristic
1082C2×D8—431no—
1083C2×D8—431no—
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×M16—431no—
1087C2×M16—431no—
1088C2×M16C22×D4311yescharacteristic
1089C2×M16C22×D4311yescharacteristic
1090C22×C8—431no—
1091C22×C8—431no—
1092C4⋊Q8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—861no—
1096C4⋊Q8C22×D4311yescharacteristic
1097C4⋊Q8C22×D4311yescharacteristic
1098#127—431no—
1099#127—861no—
1100#126—21no—
1101#126—431no—
1102#126—431no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#125—21no—
1111#125—431no—
1112#125—431no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125C22×D4311yescharacteristic
1119#124—431no—
1120#124—431no—
1121#124—431no—
1122#124—431no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124C22×D4311yescharacteristic
1132#123—21no—
1133#123—431no—
1134#123—431no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150C22⋊Q8—21no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8C22×D4311yescharacteristic
1170C22⋊Q8C22×D4311yescharacteristic
1171C22⋊Q8C22×D4311yescharacteristic
1172#121—431no—
1173#121—431no—
1174#121—431no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121—861no—
1189#121C22×D4311yescharacteristic
1190#120—861no—
1191#120—861no—
1192C4×Q8—21no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8C22×D4311yescharacteristic
1205C4×Q8C22×D4311yescharacteristic
1206C4×Q8C22×D4311yescharacteristic
1207C4×D4—21no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—431no—
1219C4×D4—431no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4—861no—
1237C4×D4C22×D4311yescharacteristic
1238#117—21no—
1239#117—21no—
1240#117—431no—
1241#117—431no—
1242#117—431no—
1243#117—431no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117—861no—
1252#117—861no—
1253C2×C4⋊C4—431no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C4⋊C4—861no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C42—861no—
1265C2×C42C22×D4311yescharacteristic
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107C22×D4311yescharacteristic
1273#107C22×D4311yescharacteristic
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106C22×D4311yescharacteristic
1281#106C22×D4311yescharacteristic
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103C22×D4311yescharacteristic
1299#103C22×D4311yescharacteristic
1300#103C22×D4311yescharacteristic
1301#103C22×D4311yescharacteristic
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#102—431no—
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8—431no—
1326#97—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97C22×D4311yescharacteristic
1331#97C22×D4311yescharacteristic
1332C4×C8—431no—
1333C4×C8—431no—
1334C4×C8C22×D4311yescharacteristic
1335C4×C8C22×D4311yescharacteristic
1336C24—861no—
1337#41—862no—
1338#41—862no—
1339#41—862no—
1340#41—862no—
1341#41—3442no—
1342#41—1721no—
1343#41—1721no—
1344#41—1721no—
1345#41—1721no—
1346C2×Q8—21no—
1347C2×Q8—431no—
1348C2×Q8—431no—
1349C2×Q8—861no—
1350C2×Q8—861no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—862no—
1354C2×Q8—3442no—
1355C2×Q8—1721no—
1356C2×Q8C23×D4311yescharacteristic
1357C2×Q8C23×D4311yescharacteristic
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—21no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—431no—
1365C2×D4—431no—
1366C2×D4—862no—
1367C2×D4—861no—
1368C2×D4—861no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—1721no—
1380C2×D4C23×D4311yescharacteristic
1381C22×C4—21no—
1382C22×C4—431no—
1383C22×C4—431no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—3442no—
1403C22×C4D4×D4311yescharacteristic
1404C22×C4D4×D4311yescharacteristic
1405C22×C4C23×D4311yescharacteristic
1406Q16—22no—
1407Q16—41no—
1408Q16—862no—
1409Q16—862no—
1410SD16—22no—
1411SD16—41no—
1412SD16—434no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—862no—
1419D8—862no—
1420D8—862no—
1421D8—1721no—
1422M16—22no—
1423M16—41no—
1424M16—862no—
1425M16—1721no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—862no—
1431C2×C8—1721no—
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C2×C8C23×D4311yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4C23×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—431no—
1492C22⋊C4—431no—
1493C22⋊C4—431no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—431no—
1530C42—431no—
1531C42—861no—
1532C42—861no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42D4×D4311yescharacteristic
1541C42D4×D4311yescharacteristic
1542C42C23×D4311yescharacteristic
1543C42C23×D4311yescharacteristic
1544C23—21no—
1545C23—431no—
1546C23—431no—
1547C23—861no—
1548C23—861no—
1549C23—861no—
1550C23—3441no—
1551C23—1722no—
1552C23—1722no—
1553C23C2×D4×D4311yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—21no—
1559Q8—21no—
1560Q8—42no—
1561Q8—432no—
1562Q8—861no—
1563Q8—3441no—
1564Q8—3441no—
1565Q8—3441no—
1566Q8—1721no—
1567Q8—1722no—
1568D4—21no—
1569D4—21no—
1570D4—81no—
1571D4—432no—
1572D4—861no—
1573D4—861no—
1574D4—861no—
1575D4—861no—
1576D4—861no—
1577D4—3441no—
1578D4—3441no—
1579D4—3441no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—1721no—
1585D4—1722no—
1586D4—1722no—
1587D4—1722no—
1588D4—1721no—
1589D4—1721no—
1590D4—1722no—
1591D4—1722no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—81no—
1604C2×C4—431no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—3441no—
1620C2×C4—3441no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—1722no—
1631C2×C4—1722no—
1632C2×C4—1722no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4C2×D4×D4311yescharacteristic
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C24×D4311yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—861no—
1647C8—861no—
1648C8—861no—
1649C8—861no—
1650C8#41×D4312yes—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—861no—
1658C22—861no—
1659C22—862no—
1660C22—861no—
1661C22—861no—
1662C22—861no—
1663C22—861no—
1664C22—3444no—
1665C22—1721no—
1666C22—1721no—
1667C22—1721no—
1668C22—1721no—
1669C22—1721no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22C22×D4×D4311yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—861no—
1687C4—861no—
1688C4—862no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4C2×#41×D4311yescharacteristic
1698C4#1458373511yescharacteristic
1699C2—41no—
1700C2—81no—
1701C2—3441no—
1702C2—3441no—
1703C2—1721no—
1704C2—1721no—
1705C2—1722no—
1706C2#1914808111yescharacteristic
1707C2#1914937211yescharacteristic
1708C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3172C2
socleC22×C43C23×D4
hypercenter#3172D43
hypocenterC43#61508
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3172

Complements

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

NH ≅ G/Ntype
1. #19148694C2semidirect
2. #19148639C2semidirect
3. #19147660C2semidirect
4. #19147513C2semidirect
5. #19147432C2semidirect
6. #19147384C2semidirect
7. #19147216C2semidirect
8. #19147064C2semidirect
9. #19147045C2semidirect
10. #19146928C2semidirect
11. #19146817C2semidirect
12. #19146746C2semidirect
13. #19146701C2semidirect
14. #19146585C2semidirect
15. #19146570C2semidirect
16. #19146223C2semidirect
17. #19146149C2semidirect
18. #19146142C2semidirect
19. #19145274C2semidirect
20. #19145236C2semidirect
21. #19144868C2semidirect
22. #19144863C2semidirect
23. #19144830C2semidirect
24. #19144800C2semidirect
25. #19144751C2semidirect
26. #19144729C2semidirect
27. #19143580C2semidirect
28. #19143473C2semidirect
29. #19143433C2semidirect
30. C4×#13063353C2semidirect
31. C43×#3172C2semidirect
36. #14583631C22semidirect
37. #14583626C22semidirect
43. #14583602C22semidirect
54. #14583557C22semidirect
61. #14583521C22semidirect
64. #14583500C22semidirect
74. #14583378C22semidirect
75. #14583375C22semidirect
78. #14583306C22semidirect
79. #14583303C22semidirect
83. #14583260C22semidirect
85. #14583244C22semidirect
86. #14583238C22semidirect
89. #14583233C22semidirect
90. #14583228C22semidirect
94. #14583219C22semidirect
95. #14583214C22semidirect
96. #14583211C22semidirect
98. #14583208C22semidirect
102. #14583193C22semidirect
103. #14583192C22semidirect
104. #14583191C22semidirect
105. #14583187C22semidirect
106. #14583186C22semidirect
107. #14583183C22semidirect
108. #14583182C22semidirect
112. #14583148C22semidirect
113. #14583142C22semidirect
114. #14583137C22semidirect
117. #14583131C22semidirect
121. #14583123C22semidirect
126. #14583106C22semidirect
127. #14583101C22semidirect
128. #14583097C22semidirect
133. #14583058C22semidirect
134. #14583053C22semidirect
142. #14583027C22semidirect
143. #14583027C22semidirect
149. #14583006C22semidirect
150. #14583004C22semidirect
151. #14583004C22semidirect
152. #14583003C22semidirect
158. #14582997C22semidirect
159. #14582997C22semidirect
160. #14582991C22semidirect
163. SD16×Dic43C22semidirect
170. #14582972C22semidirect
171. #14582972C22semidirect
174. #14582958C22semidirect
175. #14582958C22semidirect
178. #14582940C22semidirect
179. #106×D43C22semidirect
183. #14582897C22semidirect
185. #103×D43C22semidirect
186. #14582853C22semidirect
187. #14582853C22semidirect
190. C43×#501C22semidirect
191. C43×#497C22semidirect
192. C43×#491C22semidirect
193. C43×#489C22semidirect
198. C4×Q16×C43C22semidirect
199. C4×Q16×C43C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×SD16×C43C22semidirect
684. #10621873#41semidirect
865. #3172D43semidirect
935. #501C2×D43semidirect
937. #497C2×D43semidirect
940. #491C2×D43semidirect
943. #489C2×D43semidirect
1025. C4×Q16C2×D43semidirect
1026. C4×Q16C2×D43semidirect
1032. C4×SD16C2×D43semidirect
1033. C4×SD16C2×D43semidirect
1057. C43#61508semidirect

Maximal subgroups

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

subgroupindex
#191486942
#191486392
#191476602
#191475132
#191474322
#191473842
#191472162
#191470642
#191470452
#191469282
#191468172
#191467462
#191467012
#191465852
#191465702
#191462232
#191461492
#191461422
#191452742
#191452362
#191448682
#191448632
#191448302
#191448002
#191447512
#191447292
#191435802
#191434732
#191434332
C4×#130633532
C43×#31722
#6150843