Finite Group Databasebeta

← #72316224

Subgroups — #72316224

Order 1024.

6524 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×M16×#41C211yesmaximal, characteristic
2#6371210C212yesmaximal, complemented
3#6370937C211yesmaximal, characteristic
4C2×#20723C211yesmaximal, characteristic
5#188815C218yesmaximal, complemented
6#188814C218yesmaximal, complemented
7#188813C214yesmaximal, complemented
8#188809C214yesmaximal, complemented
9#181239C212yesmaximal, complemented
10C22×C4×#41C2211yescharacteristic
11M16×#41—22no—
12M16×#41—22no—
13M16×#41—24no—
14M16×#41—24no—
15M16×#41—24no—
16C2×#2971C412yescomplemented
17C2×#2970C412yescomplemented
18C2×#2970C2214yes—
19C2×#2965C414yescomplemented
20C2×#2965C2212yes—
21C2×C8×#41C2212yes—
22C2×Q8×M16C412yescomplemented
23C2×D4×M16C412yescomplemented
24C2×D4×M16C2214yes—
25C2×#2920C412yescomplemented
26C2×#2920C2211yescharacteristic
27C22×C4×M16C412yescomplemented
28C22×C4×M16C2211yescharacteristic
29#34012C2212yes—
30C2×#2283C2212yes—
31#20825—24no—
32#20823C2218yescomplemented
33#20819—24no—
34#20818C2218yescomplemented
35#20801—22no—
36#20765—22no—
37#20723—22no—
38#20723—21no—
39#20723—21no—
40#20723—21no—
41#20723—21no—
42#20723C2212yes—
43#20723C2212yes—
44#20723C2214yes—
45#20723C2212yes—
46#20723C2212yes—
47#20722—22no—
48#20722C2214yes—
49#20688—21no—
50C2×#1820—21no—
51#20661C2218yes—
52#20632C2214yes—
53C2×#1799C2214yes—
54#20584—21no—
55C2×#1782—21no—
56C4×#428—24no—
57C4×#410—22no—
58C2×C4×#99—22no—
59#8610C22132yescomplemented
60#8609C22116yescomplemented
61#8608C22116yescomplemented
62#7984C2218yescomplemented
63#7983C2218yes—
64#7980C2218yescomplemented
65C23×#41D411yescharacteristic
66C23×M16C2×C414yes—
67C23×M16C2312yes—
68C2×C4×#41—22no—
69C2×C4×#41—22no—
70C2×C4×#41—22no—
71C2×C4×#41—22no—
72C2×C4×#41—22no—
73C2×C4×#41—22no—
74C2×C4×#41—22no—
75C2×C4×#41—22no—
76C2×C4×#41C2×C412yes—
77C2×C4×#41C2×C411yescharacteristic
78C2×C4×#41C2×C411yescharacteristic
79C2×C4×#41D412yes—
80C2×C4×#41D411yescharacteristic
81C2×C4×#41D411yescharacteristic
82C2×C4×#41Q812yes—
83C2×C4×#41Q811yescharacteristic
84C2×C4×#41Q811yescharacteristic
85C2×C4×#41C2311yescharacteristic
86C2×C4×#41C2311yescharacteristic
87C2×C4×#41C2312yes—
88C22×C4×Q8C2×C411yescharacteristic
89C22×C4×Q8Q811yescharacteristic
90C22×C4×D4C2×C411yescharacteristic
91C22×C4×D4D412yes—
92C22×C4×D4Q811yescharacteristic
93C22×C4×D4C2312yes—
94C22×#117D411yescharacteristic
95C22×#117Q812yes—
96C23×C42C2×C412yes—
97C23×C42C2311yescharacteristic
98#2971—24no—
99#2971—28no—
100#2971—24no—
101#2970—24no—
102#2970—28no—
103#2970—24no—
104#2970—28no—
105#2970—28no—
106#2970—216no—
107#2965—28no—
108#2965—216no—
109#2965—28no—
110#2965—24no—
111#2965—24no—
112#2965—28no—
113C8×#41—24no—
114C8×#41—24no—
115C8×#41—28no—
116Q8×M16—24no—
117Q8×M16—28no—
118Q8×M16—24no—
119C2×#446C2×C418yescomplemented
120C2×#446C2×C414yescomplemented
121C2×C8×Q8C2×C414yescomplemented
122D4×M16—24no—
123D4×M16—28no—
124D4×M16—24no—
125D4×M16—28no—
126D4×M16—216no—
127D4×M16—28no—
128C2×#436C2×C418yes—
129C2×#436C2×C414yescomplemented
130C2×#435C2×C418yes—
131C2×#435C2×C418yescomplemented
132C2×#435C2318yes—
133C2×C8×D4C2×C414yescomplemented
134C2×C8×D4C2318yes—
135#2920—22no—
136#2920—22no—
137#2920—22no—
138#2920—22no—
139#2920—24no—
140#2920—24no—
141#2920—24no—
142#2920—24no—
143C2×#432C2×C412yes—
144C2×#432C2×C414yescomplemented
145C2×#432C2×C414yescomplemented
146C2×#432C2312yes—
147C2×#431C2×C412yes—
148C2×#431C2×C414yescomplemented
149C2×#431C2×C414yescomplemented
150C2×#431C2312yes—
151C2×#428—28no—
152C2×#423C2×C414yes—
153C2×#423C2×C412yes—
154C2×#410—24no—
155C22×#99—24no—
156C2×#407C2×C414yes—
157C2×#407C2312yes—
158C2×C4×M16—22no—
159C2×C4×M16—24no—
160C2×C4×M16—24no—
161C2×C4×M16—24no—
162C2×C4×M16—22no—
163C2×C4×M16C2×C414yes—
164C2×C4×M16C2×C412yes—
165C2×C4×M16C2×C412yes—
166C2×C4×M16C2×C412yes—
167C2×C4×M16C2×C412yes—
168C2×C4×M16C2×C411yescharacteristic
169C2×C4×M16C2×C411yescharacteristic
170C2×C4×M16C2×C414yescomplemented
171C2×C4×M16C2×C414yescomplemented
172C2×C4×M16D412yes—
173C2×C4×M16D412yes—
174C2×C4×M16D414yes—
175C2×C4×M16D414yes—
176C2×C4×M16D414yes—
177C22×#97C2×C414yescomplemented
178C22×#97C2312yes—
179C22×C4×C8C2×C414yescomplemented
180C22×C4×C8C2312yes—
181#2285—22no—
182#2285—22no—
183#2285C2314yes—
184#2283—22no—
185#2283—22no—
186#2283—22no—
187#2283—22no—
188#2283—22no—
189#2283—22no—
190#2283—22no—
191#2283—22no—
192#2283—22no—
193#2283—22no—
194#2283—22no—
195#2283C2314yes—
196#2283C2314yes—
197#2283C2314yes—
198C2×#383—22no—
199C2×#382—22no—
200#2280—22no—
201#2280—22no—
202#2280C2314yes—
203C2×#381—22no—
204C2×#380C2314yes—
205C4×#117—22no—
206C4×#117—22no—
207C4×#117—22no—
208C2×C4×C4⋊C4—22no—
209C2×C4×C22⋊C4—22no—
210C2×#376—22no—
211#1847—28no—
212#1846—28no—
213#1836—28no—
214#1835—28no—
215#1820—22no—
216#1820—22no—
217#1820—24no—
218#1820—22no—
219#1820—22no—
220#1819—24no—
221#1809—216no—
222#1808C23116yes—
223#1807C23116yes—
224#1799—24no—
225#1799—24no—
226#1799—24no—
227#1799—24no—
228#1799C2318yes—
229#1799C2318yes—
230#1799C2318yes—
231#1799C2318yes—
232#1782—22no—
233#1782—24no—
234#1782—22no—
235#1782—22no—
236#1782—22no—
237#1781—24no—
238#1776—216no—
239C4×#107—28no—
240C4×#106—28no—
241C4×#99—24no—
242C4×#99—24no—
243C4×#99—24no—
244C4×#99—24no—
245C4×#99—24no—
246C4×#99—24no—
247C4×#99—24no—
248C4×#99—24no—
249#1740—24no—
250C2×#342—24no—
251#1736—28no—
252#1289C23132yes—
253C22×#41—22no—
254C22×#41—22no—
255C22×#41—22no—
256C22×#41—22no—
257C22×#41—48no—
258C22×#41C4⋊C412yes—
259C22×#41C4⋊C411yescharacteristic
260C22×#41C4⋊C411yescharacteristic
261C22×#41C2×D411yescharacteristic
262C22×#41C2×D412yes—
263C22×#41C2×D411yescharacteristic
264C23×Q8C4⋊C411yescharacteristic
265C23×D4C4⋊C411yescharacteristic
266C23×D4C2×D412yes—
267C24×C4C4⋊C412yes—
268C24×C4C4⋊C412yes—
269C24×C4C22×C412yes—
270C24×C4C2×D411yescharacteristic
271C24×C4C2×D411yescharacteristic
272C24×C4C2411yescharacteristic
273C22×M16—24no—
274C22×M16—28no—
275C22×M16—24no—
276C22×M16—48no—
277C22×M16—416no—
278C22×M16C22×C412yes—
279C22×M16C22×C414yes—
280C22×M16C22×C418yes—
281C22×M16C22×C412yes—
282C22×M16C22×C414yes—
283C22×M16C2×D414yes—
284C22×M16C2×D418yes—
285C22×M16C2×D414yes—
286C23×C8C22×C418yes—
287C23×C8C2414yes—
288C4×#41—24no—
289C4×#41—24no—
290C4×#41—22no—
291C4×#41—22no—
292C4×#41—22no—
293C4×#41—22no—
294C4×#41—24no—
295C4×#41—24no—
296C4×#41—22no—
297C4×#41—22no—
298C4×#41—22no—
299C4×#41—22no—
300C4×#41—24no—
301C4×#41—22no—
302C4×#41—24no—
303C4×#41—22no—
304C4×#41—22no—
305C4×#41—24no—
306C4×#41—22no—
307C4×#41—22no—
308C4×#41—24no—
309C4×#41—22no—
310C4×#41—22no—
311C4×#41—22no—
312C4×#41—24no—
313C4×#41—24no—
314C4×#41—24no—
315C4×#41—24no—
316C4×#41—22no—
317C4×#41—22no—
318C4×#41—22no—
319C4×#41—22no—
320C4×#41—22no—
321C4×#41—22no—
322C4×#41—22no—
323C4×#41—22no—
324C4×#41—22no—
325C4×#41—22no—
326C4×#41—22no—
327C4×#41—22no—
328C4×#41—24no—
329C4×#41—24no—
330C4×#41—22no—
331C4×#41—22no—
332C4×#41—24no—
333C4×#41—24no—
334C4×#41—22no—
335C4×#41—22no—
336C2×C4×Q8—22no—
337C2×C4×Q8—22no—
338C2×C4×Q8—22no—
339C2×C4×Q8—22no—
340C2×C4×Q8—22no—
341C2×C4×Q8—22no—
342C2×C4×Q8—22no—
343C2×C4×Q8—22no—
344C2×C4×Q8C4⋊C411yescharacteristic
345C2×C4×Q8C4⋊C412yes—
346C2×C4×Q8C4⋊C411yescharacteristic
347C2×C4×Q8C4⋊C411yescharacteristic
348C2×C4×Q8C4⋊C412yes—
349C2×C4×Q8C4⋊C411yescharacteristic
350C2×C4×Q8C22×C411yescharacteristic
351C2×C4×Q8C22×C412yes—
352C2×C4×Q8C22×C411yescharacteristic
353C2×C4×Q8C2×Q811yescharacteristic
354C2×C4×Q8C2×Q812yes—
355C2×C4×Q8C2×Q811yescharacteristic
356C2×C4×D4—24no—
357C2×C4×D4—24no—
358C2×C4×D4—24no—
359C2×C4×D4—24no—
360C2×C4×D4—24no—
361C2×C4×D4—24no—
362C2×C4×D4—24no—
363C2×C4×D4—24no—
364C2×C4×D4—22no—
365C2×C4×D4—22no—
366C2×C4×D4—22no—
367C2×C4×D4—22no—
368C2×C4×D4—22no—
369C2×C4×D4—22no—
370C2×C4×D4—22no—
371C2×C4×D4—22no—
372C2×C4×D4C4⋊C411yescharacteristic
373C2×C4×D4C4⋊C412yes—
374C2×C4×D4C4⋊C411yescharacteristic
375C2×C4×D4C4⋊C412yes—
376C2×C4×D4C4⋊C412yes—
377C2×C4×D4C4⋊C412yes—
378C2×C4×D4C4⋊C412yes—
379C2×C4×D4C4⋊C412yes—
380C2×C4×D4C4⋊C411yescharacteristic
381C2×C4×D4C4⋊C411yescharacteristic
382C2×C4×D4C22×C411yescharacteristic
383C2×C4×D4C22×C412yes—
384C2×C4×D4C22×C411yescharacteristic
385C2×C4×D4C22×C412yes—
386C2×C4×D4C22×C412yes—
387C2×C4×D4C2×D412yes—
388C2×C4×D4C2×D412yes—
389C2×C4×D4C2×D412yes—
390C2×C4×D4C2×D412yes—
391C2×C4×D4C2×D412yes—
392C2×C4×D4C2×D412yes—
393C2×C4×D4C2×Q812yes—
394C2×C4×D4C2×Q812yes—
395C2×C4×D4C2×Q811yescharacteristic
396C2×C4×D4C2×Q811yescharacteristic
397C2×C4×D4C2×Q812yes—
398C2×C4×D4C2412yes—
399C2×C4×D4C2412yes—
400C2×#117—22no—
401C2×#117—22no—
402C2×#117—22no—
403C2×#117—22no—
404C2×#117—24no—
405C2×#117—24no—
406C2×#117—24no—
407C2×#117—24no—
408C2×#117—24no—
409C2×#117—24no—
410C2×#117—42no—
411C2×#117C4⋊C412yes—
412C2×#117C4⋊C411yescharacteristic
413C2×#117C4⋊C411yescharacteristic
414C2×#117C4⋊C412yes—
415C2×#117C4⋊C412yes—
416C2×#117C4⋊C412yes—
417C2×#117C4⋊C412yes—
418C2×#117C2×D411yescharacteristic
419C2×#117C2×D411yescharacteristic
420C2×#117C2×D412yes—
421C2×#117C2×Q812yes—
422C2×#117C2×Q812yes—
423C2×#117C2×Q812yes—
424C2×#117C2×Q812yes—
425C22×C4⋊C4—24no—
426C22×C4⋊C4C4⋊C411yescharacteristic
427C22×C4⋊C4C4⋊C411yescharacteristic
428C22×C4⋊C4C4⋊C412yes—
429C22×C4⋊C4C2×Q812yes—
430C22×C22⋊C4—24no—
431C22×C22⋊C4C4⋊C412yes—
432C22×C22⋊C4C2×D412yes—
433C22×C22⋊C4C2×Q812yes—
434C22×C42—22no—
435C22×C42—22no—
436C22×C42—22no—
437C22×C42—22no—
438C22×C42—22no—
439C22×C42—22no—
440C22×C42—22no—
441C22×C42—22no—
442C22×C42—42no—
443C22×C42C4⋊C412yes—
444C22×C42C4⋊C412yes—
445C22×C42C4⋊C412yes—
446C22×C42C4⋊C412yes—
447C22×C42C4⋊C412yes—
448C22×C42C4⋊C412yes—
449C22×C42C22×C412yes—
450C22×C42C22×C412yes—
451C22×C42C22×C412yes—
452C22×C42C22×C412yes—
453C22×C42C22×C412yes—
454C22×C42C22×C411yescharacteristic
455C22×C42C22×C411yescharacteristic
456C22×C42C22×C411yescharacteristic
457C22×C42C22×C411yescharacteristic
458C22×C42C2×D412yes—
459C22×C42C2×D412yes—
460C22×C42C2×D412yes—
461C22×C42C2×D412yes—
462C22×C42C2×D411yescharacteristic
463C22×C42C2×D411yescharacteristic
464C22×C42C2×Q811yescharacteristic
465C22×C42C2×Q811yescharacteristic
466C22×C42C2×Q811yescharacteristic
467C22×C42C2×Q811yescharacteristic
468C22×C42#4112yes—
469C22×C42#4112yes—
470C22×C42#4112yes—
471C22×C42#4112yes—
472C22×C42C2411yescharacteristic
473C22×C42C2411yescharacteristic
474#446—216no—
475#446—216no—
476#446—28no—
477#446—28no—
478C8×Q8—28no—
479C8×Q8—28no—
480#436—216no—
481#436—216no—
482#436—28no—
483#436—28no—
484#435—216no—
485#435—216no—
486#435—216no—
487#435—216no—
488#435—216no—
489#435—216no—
490C8×D4—216no—
491C8×D4—216no—
492C8×D4—28no—
493C8×D4—28no—
494#432—24no—
495#432—24no—
496#432—24no—
497#432—24no—
498#432—28no—
499#432—28no—
500#432—28no—
501#432—28no—
502#431—24no—
503#431—24no—
504#431—24no—
505#431—24no—
506#431—28no—
507#431—28no—
508#431—28no—
509#431—28no—
510#428—432no—
511C2×#107—216no—
512C2×#106—216no—
513#423—28no—
514#423—28no—
515#423—24no—
516#423—24no—
517C2×C4⋊C8C22×C414yes—
518C2×C4⋊C8C22×C418yes—
519C2×C4⋊C8C22×C418yes—
520C2×C4⋊C8C22×C414yes—
521#410—416no—
522C2×#99—28no—
523C2×#99—28no—
524C2×#99—28no—
525C2×#99—28no—
526C2×#99—416no—
527#407—24no—
528#407—24no—
529#407—28no—
530#407—28no—
531C2×C22⋊C8C22×C418yes—
532C2×C22⋊C8C22×C418yes—
533C2×C22⋊C8C22×C414yes—
534C2×C22⋊C8C2414yes—
535C4×M16—24no—
536C4×M16—28no—
537C4×M16—24no—
538C4×M16—22no—
539C4×M16—22no—
540C4×M16—22no—
541C4×M16—22no—
542C4×M16—24no—
543C4×M16—28no—
544C4×M16—24no—
545C4×M16—24no—
546C4×M16—24no—
547C4×M16—28no—
548C4×M16C22⋊C411yescharacteristic
549C4×M16C22⋊C412yes—
550C4×M16C22⋊C412yes—
551C4×M16C22⋊C412yes—
552C4×M16C22⋊C411yescharacteristic
553C4×M16C22⋊C412yes—
554C4×M16C22⋊C412yes—
555C4×M16C22⋊C412yes—
556C4×M16C22⋊C412yes—
557C4×M16C22⋊C414yes—
558C4×M16C22⋊C418yes—
559C4×M16C22⋊C414yes—
560C4×M16C22⋊C414yes—
561C4×M16C22⋊C418yes—
562C4×M16C22⋊C414yes—
563C4×M16C22⋊C414yes—
564C4×M16C22⋊C418yes—
565C4×M16C22⋊C414yes—
566C2×#97—24no—
567C2×#97—28no—
568C2×#97—24no—
569C2×#97C22×C414yes—
570C2×#97C22×C418yes—
571C2×#97C22×C412yes—
572C2×#97C22×C412yes—
573C2×#97C22×C414yes—
574C2×#97C2×D414yes—
575C2×#97C2×D414yes—
576C2×#97C2×D418yes—
577C2×C4×C8—24no—
578C2×C4×C8—28no—
579C2×C4×C8—24no—
580C2×C4×C8C22×C414yes—
581C2×C4×C8C22×C418yes—
582C2×C4×C8C22×C412yes—
583C2×C4×C8C22×C412yes—
584C2×C4×C8C22×C414yes—
585C2×C4×C8C2×D414yes—
586C2×C4×C8C2×D414yes—
587C2×C4×C8C2×D418yes—
588#384—24no—
589#383—24no—
590#383—24no—
591#383—24no—
592#383—42no—
593#383—42no—
594#383—42no—
595#382—24no—
596#382—24no—
597#382—24no—
598#382—24no—
599#382—42no—
600#382—42no—
601#382—42no—
602#381—24no—
603#381—24no—
604#381—24no—
605#381—24no—
606#381—42no—
607#381—42no—
608#381—42no—
609#380—24no—
610#380—24no—
611#380—24no—
612#380—24no—
613#380—24no—
614#380—42no—
615#380—42no—
616#380—42no—
617#380C2418yes—
618#380C2418yes—
619#379—24no—
620C4×C4⋊C4—24no—
621C4×C4⋊C4—24no—
622C4×C4⋊C4—24no—
623C4×C4⋊C4—24no—
624C4×C4⋊C4—24no—
625C4×C4⋊C4—42no—
626C4×C4⋊C4—42no—
627C4×C4⋊C4—42no—
628C4×C4⋊C4—42no—
629C4×C4⋊C4—42no—
630C4×C22⋊C4—24no—
631C4×C22⋊C4—24no—
632C4×C22⋊C4—24no—
633C4×C22⋊C4—24no—
634C4×C22⋊C4—24no—
635C4×C22⋊C4—42no—
636C4×C22⋊C4—42no—
637C4×C22⋊C4—42no—
638C4×C22⋊C4—42no—
639C4×C22⋊C4—42no—
640#376—24no—
641#376—24no—
642#376—24no—
643#376—42no—
644#376—42no—
645#376—42no—
646#376—42no—
647C2×#95—24no—
648C2×#95—42no—
649C2×#95—42no—
650C2×#95—42no—
651C43—42no—
652#342—28no—
653#342—28no—
654#342—28no—
655#342—28no—
656#340—216no—
657#340—216no—
658C25C2×C4⋊C412yes—
659C25C22×D411yescharacteristic
660C2×#41—28no—
661C2×#41—28no—
662C2×#41—22no—
663C2×#41—22no—
664C2×#41—22no—
665C2×#41—22no—
666C2×#41—24no—
667C2×#41—24no—
668C2×#41—24no—
669C2×#41—24no—
670C2×#41—22no—
671C2×#41—22no—
672C2×#41—22no—
673C2×#41—22no—
674C2×#41—44no—
675C2×#41—44no—
676C2×#41—44no—
677C2×#41—44no—
678C2×#41—44no—
679C2×#41—44no—
680C2×#41—416no—
681C2×#41—416no—
682C2×#41—416no—
683C2×#41—416no—
684C22×Q8—22no—
685C22×Q8—22no—
686C22×Q8—44no—
687C22×Q8C2×C4⋊C411yescharacteristic
688C22×Q8C2×C4⋊C412yes—
689C22×Q8C2×C4⋊C411yescharacteristic
690C22×D4—24no—
691C22×D4—24no—
692C22×D4—28no—
693C22×D4—22no—
694C22×D4—22no—
695C22×D4—44no—
696C22×D4—44no—
697C22×D4C2×C4⋊C411yescharacteristic
698C22×D4C2×C4⋊C412yes—
699C22×D4C2×C4⋊C412yes—
700C22×D4C2×C4⋊C412yes—
701C22×D4C2×C4⋊C411yescharacteristic
702C22×D4C22×D412yes—
703C22×D4C22×D412yes—
704C23×C4—22no—
705C23×C4—22no—
706C23×C4—22no—
707C23×C4—22no—
708C23×C4—22no—
709C23×C4—22no—
710C23×C4—22no—
711C23×C4—22no—
712C23×C4—22no—
713C23×C4—22no—
714C23×C4—22no—
715C23×C4—22no—
716C23×C4—44no—
717C23×C4—44no—
718C23×C4—44no—
719C23×C4—44no—
720C23×C4—48no—
721C23×C4—44no—
722C23×C4—82no—
723C23×C4—84no—
724C23×C4C2×C4⋊C412yes—
725C23×C4C2×C4⋊C412yes—
726C23×C4C2×C4⋊C412yes—
727C23×C4C2×C4⋊C412yes—
728C23×C4C2×C4⋊C412yes—
729C23×C4C2×C4⋊C412yes—
730C23×C4C2×C4⋊C412yes—
731C23×C4C2×C4⋊C412yes—
732C23×C4C2×C4⋊C412yes—
733C23×C4C2×C4⋊C412yes—
734C23×C4C2×C4⋊C412yes—
735C23×C4C2×C4⋊C412yes—
736C23×C4C2×C4⋊C412yes—
737C23×C4C2×C4⋊C411yescharacteristic
738C23×C4C2×C4⋊C411yescharacteristic
739C23×C4C2×C4⋊C411yescharacteristic
740C23×C4C2×C4⋊C411yescharacteristic
741C23×C4C2×C4⋊C411yescharacteristic
742C23×C4C2×C4⋊C411yescharacteristic
743C23×C4C2×C4⋊C411yescharacteristic
744C23×C4C2×C4⋊C411yescharacteristic
745C23×C4#12112yes—
746C23×C4#12112yes—
747C23×C4#12112yes—
748C23×C4#12112yes—
749C23×C4#12112yes—
750C23×C4#12112yes—
751C23×C4#12112yes—
752C23×C4#12112yes—
753C23×C4C23×C411yescharacteristic
754C23×C4C23×C412yes—
755C23×C4C23×C412yes—
756C23×C4C23×C411yescharacteristic
757C23×C4C22×D412yes—
758C23×C4C22×D411yescharacteristic
759C23×C4C22×D411yescharacteristic
760C23×C4C22×D412yes—
761C23×C4C22×D411yescharacteristic
762C23×C4C22×D411yescharacteristic
763C23×C4C22×D411yescharacteristic
764C23×C4C22×Q811yescharacteristic
765C23×C4C22×Q811yescharacteristic
766C23×C4C2×#4112yes—
767C23×C4C2×#4112yes—
768C23×C4C2511yescharacteristic
769C2×M16—28no—
770C2×M16—216no—
771C2×M16—24no—
772C2×M16—24no—
773C2×M16—28no—
774C2×M16—28no—
775C2×M16—48no—
776C2×M16—416no—
777C2×M16—416no—
778C2×M16—44no—
779C2×M16—48no—
780C2×M16—416no—
781C2×M16—432no—
782C2×M16—416no—
783C2×M16—48no—
784C2×M16C2×C22⋊C412yes—
785C2×M16C2×C22⋊C414yes—
786C2×M16C2×C22⋊C414yes—
787C2×M16C2×C22⋊C418yes—
788C2×M16C2×C22⋊C414yes—
789C2×M16C2×C22⋊C418yes—
790C2×M16C2×C22⋊C412yes—
791C22×C8—28no—
792C22×C8—28no—
793C22×C8—48no—
794C22×C8—416no—
795C22×C8C23×C414yes—
796C22×C8C23×C418yes—
797C22×C8C23×C414yes—
798C22×C8C22×D418yes—
799C22×C8C22×D418yes—
800C4×Q8—22no—
801C4×Q8—24no—
802C4×Q8—22no—
803C4×Q8—22no—
804C4×Q8—24no—
805C4×Q8—22no—
806C4×Q8—22no—
807C4×Q8—22no—
808C4×Q8—24no—
809C4×Q8—24no—
810C4×Q8—22no—
811C4×Q8—22no—
812C4×Q8—22no—
813C4×Q8—22no—
814C4×Q8—22no—
815C4×Q8—22no—
816C4×Q8—24no—
817C4×Q8—24no—
818C4×Q8—22no—
819C4×Q8—22no—
820C4×Q8—24no—
821C4×Q8—22no—
822C4×Q8—22no—
823C4×Q8—24no—
824C4×D4—24no—
825C4×D4—24no—
826C4×D4—24no—
827C4×D4—24no—
828C4×D4—24no—
829C4×D4—24no—
830C4×D4—24no—
831C4×D4—24no—
832C4×D4—24no—
833C4×D4—24no—
834C4×D4—24no—
835C4×D4—24no—
836C4×D4—24no—
837C4×D4—24no—
838C4×D4—24no—
839C4×D4—24no—
840C4×D4—24no—
841C4×D4—24no—
842C4×D4—24no—
843C4×D4—24no—
844C4×D4—24no—
845C4×D4—24no—
846C4×D4—24no—
847C4×D4—24no—
848C4×D4—24no—
849C4×D4—24no—
850C4×D4—24no—
851C4×D4—24no—
852C4×D4—24no—
853C4×D4—24no—
854C4×D4—24no—
855C4×D4—24no—
856C4×D4—22no—
857C4×D4—24no—
858C4×D4—22no—
859C4×D4—22no—
860C4×D4—24no—
861C4×D4—22no—
862C4×D4—22no—
863C4×D4—22no—
864C4×D4—24no—
865C4×D4—24no—
866C4×D4—22no—
867C4×D4—22no—
868C4×D4—22no—
869C4×D4—22no—
870C4×D4—24no—
871C4×D4—22no—
872C4×D4—24no—
873C4×D4—22no—
874C4×D4—24no—
875C4×D4—22no—
876C4×D4—22no—
877C4×D4—22no—
878C4×D4—22no—
879C4×D4—24no—
880#117—22no—
881#117—22no—
882#117—22no—
883#117—22no—
884#117—24no—
885#117—24no—
886#117—24no—
887#117—24no—
888#117—22no—
889#117—22no—
890#117—22no—
891#117—22no—
892#117—24no—
893#117—24no—
894#117—24no—
895#117—24no—
896#117—24no—
897#117—24no—
898#117—24no—
899#117—24no—
900#117—24no—
901#117—24no—
902#117—24no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—416no—
909#117—416no—
910#117—88no—
911C2×C4⋊C4—24no—
912C2×C4⋊C4—24no—
913C2×C4⋊C4—22no—
914C2×C4⋊C4—22no—
915C2×C4⋊C4—24no—
916C2×C4⋊C4—24no—
917C2×C4⋊C4—22no—
918C2×C4⋊C4—22no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—416no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4C2×C4⋊C411yescharacteristic
926C2×C4⋊C4C2×C4⋊C411yescharacteristic
927C2×C4⋊C4C2×C4⋊C412yes—
928C2×C4⋊C4C2×C4⋊C411yescharacteristic
929C2×C4⋊C4C2×C4⋊C411yescharacteristic
930C2×C4⋊C4C2×C4⋊C412yes—
931C2×C4⋊C4C2×C4⋊C412yes—
932C2×C4⋊C4C2×C4⋊C412yes—
933C2×C4⋊C4C2×C4⋊C412yes—
934C2×C4⋊C4C2×C4⋊C412yes—
935C2×C4⋊C4C2×C4⋊C412yes—
936C2×C4⋊C4C2×C4⋊C412yes—
937C2×C4⋊C4C22×Q812yes—
938C2×C4⋊C4C22×Q812yes—
939C2×C22⋊C4—24no—
940C2×C22⋊C4—24no—
941C2×C22⋊C4—24no—
942C2×C22⋊C4—24no—
943C2×C22⋊C4—24no—
944C2×C22⋊C4—24no—
945C2×C22⋊C4—28no—
946C2×C22⋊C4—28no—
947C2×C22⋊C4—416no—
948C2×C22⋊C4—44no—
949C2×C22⋊C4—44no—
950C2×C22⋊C4—44no—
951C2×C22⋊C4C2×C4⋊C412yes—
952C2×C22⋊C4C2×C4⋊C412yes—
953C2×C22⋊C4C2×C4⋊C412yes—
954C2×C22⋊C4C2×C4⋊C412yes—
955C2×C22⋊C4C2×C4⋊C412yes—
956C2×C22⋊C4C2×C4⋊C412yes—
957C2×C22⋊C4C2×C4⋊C412yes—
958C2×C22⋊C4C2×C4⋊C412yes—
959C2×C22⋊C4C22×D412yes—
960C2×C22⋊C4C22×D412yes—
961C2×C22⋊C4C22×Q812yes—
962C2×C22⋊C4C22×Q812yes—
963C2×C42—22no—
964C2×C42—22no—
965C2×C42—22no—
966C2×C42—22no—
967C2×C42—22no—
968C2×C42—22no—
969C2×C42—22no—
970C2×C42—22no—
971C2×C42—22no—
972C2×C42—22no—
973C2×C42—22no—
974C2×C42—22no—
975C2×C42—22no—
976C2×C42—22no—
977C2×C42—22no—
978C2×C42—22no—
979C2×C42—22no—
980C2×C42—22no—
981C2×C42—22no—
982C2×C42—22no—
983C2×C42—22no—
984C2×C42—22no—
985C2×C42—22no—
986C2×C42—22no—
987C2×C42—22no—
988C2×C42—22no—
989C2×C42—22no—
990C2×C42—22no—
991C2×C42—22no—
992C2×C42—22no—
993C2×C42—22no—
994C2×C42—22no—
995C2×C42—22no—
996C2×C42—22no—
997C2×C42—22no—
998C2×C42—22no—
999C2×C42—22no—
1000C2×C42—22no—
1001C2×C42—22no—
1002C2×C42—22no—
1003C2×C42—22no—
1004C2×C42—22no—
1005C2×C42—22no—
1006C2×C42—22no—
1007C2×C42—44no—
1008C2×C42—44no—
1009C2×C42—44no—
1010C2×C42—44no—
1011C2×C42—44no—
1012C2×C42—88no—
1013C2×C42C2×C22⋊C412yes—
1014C2×C42C2×C22⋊C412yes—
1015C2×C42C2×C22⋊C412yes—
1016C2×C42C2×C22⋊C412yes—
1017C2×C42C2×C22⋊C412yes—
1018C2×C42C2×C22⋊C412yes—
1019C2×C42C2×C22⋊C411yescharacteristic
1020C2×C42C2×C22⋊C411yescharacteristic
1021C2×C42C2×C22⋊C411yescharacteristic
1022C2×C42C2×C22⋊C411yescharacteristic
1023C2×C42C2×C4⋊C412yes—
1024C2×C42C2×C4⋊C412yes—
1025C2×C42C2×C4⋊C412yes—
1026C2×C42C2×C4⋊C412yes—
1027C2×C42C2×C4⋊C412yes—
1028C2×C42C2×C4⋊C412yes—
1029C2×C42C2×C4⋊C412yes—
1030C2×C42C2×C4⋊C412yes—
1031C2×C42C2×C4⋊C412yes—
1032C2×C42C2×C4⋊C412yes—
1033C2×C42C2×C4⋊C411yescharacteristic
1034C2×C42C2×C4⋊C411yescharacteristic
1035C2×C42C2×C4⋊C411yescharacteristic
1036C2×C42C2×C4⋊C411yescharacteristic
1037C2×C42C2×C4⋊C411yescharacteristic
1038C2×C42C2×C4⋊C411yescharacteristic
1039C2×C42C2×C4⋊C411yescharacteristic
1040C2×C42C2×C4⋊C411yescharacteristic
1041C2×C42#11712yes—
1042C2×C42#11712yes—
1043C2×C42#11712yes—
1044C2×C42#11712yes—
1045C2×C42#11712yes—
1046C2×C42#11712yes—
1047C2×C42#11711yescharacteristic
1048C2×C42#11711yescharacteristic
1049C2×C42#11711yescharacteristic
1050C2×C42#11711yescharacteristic
1051C2×C42#12112yes—
1052C2×C42#12112yes—
1053C2×C42#12112yes—
1054C2×C42#12112yes—
1055C2×C42#12112yes—
1056C2×C42#12112yes—
1057C2×C42#12112yes—
1058C2×C42#12112yes—
1059C2×C42C22⋊Q812yes—
1060C2×C42C22⋊Q812yes—
1061C2×C42C22⋊Q812yes—
1062C2×C42C22⋊Q812yes—
1063C2×C42C22⋊Q812yes—
1064C2×C42C22⋊Q812yes—
1065C2×C42C22⋊Q812yes—
1066C2×C42C22⋊Q812yes—
1067C2×C42C22⋊Q812yes—
1068C2×C42C22⋊Q812yes—
1069C2×C42C22⋊Q812yes—
1070C2×C42C22⋊Q812yes—
1071C2×C42C22⋊Q812yes—
1072C2×C42C22⋊Q812yes—
1073C2×C42C22⋊Q812yes—
1074C2×C42C22⋊Q812yes—
1075C2×C42C23×C412yes—
1076C2×C42C23×C412yes—
1077C2×C42C23×C411yescharacteristic
1078C2×C42C23×C411yescharacteristic
1079C2×C42C23×C411yescharacteristic
1080C2×C42C23×C411yescharacteristic
1081C2×C42C22×D412yes—
1082C2×C42C22×D412yes—
1083C2×C42C22×D412yes—
1084C2×C42C22×D412yes—
1085C2×C42C22×Q811yescharacteristic
1086C2×C42C22×Q811yescharacteristic
1087C2×C42C22×Q811yescharacteristic
1088C2×C42C22×Q811yescharacteristic
1089C2×C42C2×#4112yes—
1090C2×C42C2×#4112yes—
1091C2×C42C2×#4112yes—
1092C2×C42C2×#4112yes—
1093#107—432no—
1094#106—432no—
1095C4⋊C8—216no—
1096C4⋊C8—216no—
1097C4⋊C8—28no—
1098C4⋊C8—28no—
1099#99—416no—
1100#99—416no—
1101#99—416no—
1102#99—416no—
1103C22⋊C8—28no—
1104C22⋊C8—28no—
1105C22⋊C8—216no—
1106C22⋊C8—216no—
1107#97—28no—
1108#97—28no—
1109#97—24no—
1110#97—24no—
1111#97C2×C22⋊C412yes—
1112#97C2×C22⋊C414yes—
1113#97C2×C22⋊C412yes—
1114#97C2×C22⋊C414yes—
1115#97C2×C22⋊C414yes—
1116#97C2×C22⋊C418yes—
1117#97C2×C22⋊C418yes—
1118C4×C8—28no—
1119C4×C8—28no—
1120C4×C8—24no—
1121C4×C8—24no—
1122C4×C8C2×C22⋊C412yes—
1123C4×C8C2×C22⋊C412yes—
1124C4×C8C2×C22⋊C414yes—
1125C4×C8C2×C22⋊C414yes—
1126C4×C8C2×C22⋊C414yes—
1127C4×C8C2×C22⋊C418yes—
1128C4×C8C2×C22⋊C418yes—
1129#95—28no—
1130#95—28no—
1131#95—44no—
1132#95—44no—
1133#95—44no—
1134#95—44no—
1135#95—44no—
1136#95—44no—
1137#95—44no—
1138#95—44no—
1139#95—44no—
1140#95—44no—
1141#95—44no—
1142#95—44no—
1143C24—24no—
1144C24—22no—
1145C24—22no—
1146C24—24no—
1147C24—42no—
1148C24—42no—
1149C24—44no—
1150C24—81no—
1151C24—82no—
1152C24C22×C4⋊C411yescharacteristic
1153C24C22×C4⋊C412yes—
1154C24C22×C4⋊C412yes—
1155C24C22×C4⋊C411yescharacteristic
1156C24C2×#12112yes—
1157C24C2×#12112yes—
1158C24C23×D411yescharacteristic
1159#41—216no—
1160#41—216no—
1161#41—416no—
1162#41—416no—
1163#41—416no—
1164#41—416no—
1165#41—48no—
1166#41—48no—
1167#41—48no—
1168#41—48no—
1169#41—48no—
1170#41—48no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—22no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8—48no—
1179C2×Q8—48no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—416no—
1199C2×D4—416no—
1200C2×D4—48no—
1201C2×D4—48no—
1202C2×D4#57518yes—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—28no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—44no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—48no—
1269C22×C4—48no—
1270C22×C4—48no—
1271C22×C4—48no—
1272C22×C4—48no—
1273C22×C4—48no—
1274C22×C4—48no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—48no—
1282C22×C4—44no—
1283C22×C4—48no—
1284C22×C4—48no—
1285C22×C4—84no—
1286C22×C4—84no—
1287C22×C4—81no—
1288C22×C4—81no—
1289C22×C4—82no—
1290C22×C4—82no—
1291C22×C4—81no—
1292C22×C4—84no—
1293C22×C4—84no—
1294C22×C4—82no—
1295C22×C4—82no—
1296C22×C4—82no—
1297C22×C4—88no—
1298C22×C4—88no—
1299C22×C4—88no—
1300C22×C4#38011yescharacteristic
1301C22×C4#38011yescharacteristic
1302C22×C4#38012yes—
1303C22×C4#38011yescharacteristic
1304C22×C4#38011yescharacteristic
1305C22×C4#38011yescharacteristic
1306C22×C4#38011yescharacteristic
1307C22×C4#38011yescharacteristic
1308C22×C4#38011yescharacteristic
1309C22×C4#38012yes—
1310C22×C4#38012yes—
1311C22×C4#38012yes—
1312C22×C4#38012yes—
1313C22×C4#38012yes—
1314C22×C4#38012yes—
1315C22×C4#38012yes—
1316C22×C4#38012yes—
1317C22×C4#38012yes—
1318C22×C4#38012yes—
1319C22×C4#38012yes—
1320C22×C4C22×C22⋊C412yes—
1321C22×C4C22×C22⋊C411yescharacteristic
1322C22×C4C22×C22⋊C411yescharacteristic
1323C22×C4C22×C4⋊C412yes—
1324C22×C4C22×C4⋊C412yes—
1325C22×C4C22×C4⋊C411yescharacteristic
1326C22×C4C22×C4⋊C411yescharacteristic
1327C22×C4C22×C4⋊C411yescharacteristic
1328C22×C4C22×C4⋊C411yescharacteristic
1329C22×C4C22×C4⋊C411yescharacteristic
1330C22×C4C22×C4⋊C411yescharacteristic
1331C22×C4C22×C4⋊C412yes—
1332C22×C4C22×C4⋊C412yes—
1333C22×C4C22×C4⋊C412yes—
1334C22×C4C22×C4⋊C412yes—
1335C22×C4C22×C4⋊C411yescharacteristic
1336C22×C4C22×C4⋊C411yescharacteristic
1337C22×C4C22×C4⋊C411yescharacteristic
1338C22×C4C22×C4⋊C411yescharacteristic
1339C22×C4C2×#11711yescharacteristic
1340C22×C4C2×#11711yescharacteristic
1341C22×C4C2×#11712yes—
1342C22×C4C2×#12112yes—
1343C22×C4C2×#12112yes—
1344C22×C4C2×#12112yes—
1345C22×C4C2×#12112yes—
1346C22×C4C2×#12112yes—
1347C22×C4C2×#12112yes—
1348C22×C4C2×#12112yes—
1349C22×C4C2×#12112yes—
1350C22×C4C2×#12112yes—
1351C22×C4C2×#12112yes—
1352C22×C4C2×C22⋊Q812yes—
1353C22×C4C2×C22⋊Q812yes—
1354C22×C4C2×C22⋊Q812yes—
1355C22×C4C2×C22⋊Q812yes—
1356C22×C4C24×C411yescharacteristic
1357C22×C4C23×D412yes—
1358C22×C4C23×Q811yescharacteristic
1359C22×C4C22×#4112yes—
1360M16—24no—
1361M16—28no—
1362M16—28no—
1363M16—216no—
1364M16—48no—
1365M16—44no—
1366M16—416no—
1367M16—48no—
1368M16—48no—
1369M16—416no—
1370M16#41018yescomplemented
1371C2×C8—216no—
1372C2×C8—28no—
1373C2×C8—28no—
1374C2×C8—44no—
1375C2×C8—48no—
1376C2×C8—416no—
1377C2×C8—416no—
1378C2×C8—48no—
1379C2×C8C22×C22⋊C414yes—
1380C2×C8C22×C22⋊C418yes—
1381C2×C8C22×C22⋊C414yes—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—48no—
1397C4⋊C4—416no—
1398C4⋊C4—48no—
1399C4⋊C4—88no—
1400C4⋊C4—88no—
1401C4⋊C4—88no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—416no—
1415C22⋊C4—416no—
1416C22⋊C4—88no—
1417C22⋊C4—88no—
1418C22⋊C4—88no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—88no—
1444C42—88no—
1445C42—88no—
1446C42—88no—
1447C42—88no—
1448C42#38011yescharacteristic
1449C42#38011yescharacteristic
1450C42#38011yescharacteristic
1451C42#38011yescharacteristic
1452C42#38011yescharacteristic
1453C42#38011yescharacteristic
1454C42#38012yes—
1455C42#38012yes—
1456C42#38012yes—
1457C42#38012yes—
1458C42#38012yes—
1459C42#38012yes—
1460C42#38012yes—
1461C42#38012yes—
1462C42#38012yes—
1463C42#38012yes—
1464C42#38012yes—
1465C42#38011yescharacteristic
1466C42#38011yescharacteristic
1467C42#38012yes—
1468C42C22×C22⋊C411yescharacteristic
1469C42C22×C22⋊C412yes—
1470C42C22×C22⋊C411yescharacteristic
1471C42C22×C22⋊C411yescharacteristic
1472C42C22×C22⋊C412yes—
1473C42C22×C22⋊C411yescharacteristic
1474C42C2×#11711yescharacteristic
1475C42C2×#11711yescharacteristic
1476C42C2×#11711yescharacteristic
1477C42C2×#11712yes—
1478C42C2×#11712yes—
1479C42C2×#11711yescharacteristic
1480C42C2×C22⋊Q812yes—
1481C42C2×C22⋊Q812yes—
1482C42C2×C22⋊Q812yes—
1483C42C2×C22⋊Q812yes—
1484C42C2×C22⋊Q812yes—
1485C42C2×C22⋊Q812yes—
1486C42C2×C22⋊Q812yes—
1487C42C2×C22⋊Q812yes—
1488C23—24no—
1489C23—24no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—24no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—41no—
1500C23—42no—
1501C23—41no—
1502C23—41no—
1503C23—42no—
1504C23—41no—
1505C23—42no—
1506C23—41no—
1507C23—44no—
1508C23—44no—
1509C23—42no—
1510C23—42no—
1511C23—44no—
1512C23—42no—
1513C23—42no—
1514C23—44no—
1515C23—82no—
1516C23—82no—
1517C23—88no—
1518C23—88no—
1519C23—88no—
1520C23C2×#38012yes—
1521C23C2×#38011yescharacteristic
1522C23C2×#38011yescharacteristic
1523C23#291114yes—
1524C23C23×C4⋊C411yescharacteristic
1525C23C22×#12112yes—
1526C23C2×#57514yes—
1527Q8—28no—
1528Q8—48no—
1529Q8—44no—
1530D4—28no—
1531D4—216no—
1532D4—48no—
1533D4—48no—
1534D4—44no—
1535D4—48no—
1536D4—48no—
1537C2×C4—28no—
1538C2×C4—28no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—42no—
1572C2×C4—42no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—42no—
1579C2×C4—42no—
1580C2×C4—42no—
1581C2×C4—42no—
1582C2×C4—41no—
1583C2×C4—42no—
1584C2×C4—42no—
1585C2×C4—42no—
1586C2×C4—42no—
1587C2×C4—42no—
1588C2×C4—42no—
1589C2×C4—42no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—42no—
1596C2×C4—42no—
1597C2×C4—42no—
1598C2×C4—42no—
1599C2×C4—42no—
1600C2×C4—42no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—42no—
1624C2×C4—42no—
1625C2×C4—42no—
1626C2×C4—42no—
1627C2×C4—82no—
1628C2×C4—82no—
1629C2×C4—82no—
1630C2×C4—82no—
1631C2×C4—82no—
1632C2×C4—82no—
1633C2×C4—88no—
1634C2×C4—88no—
1635C2×C4—88no—
1636C2×C4—88no—
1637C2×C4—88no—
1638C2×C4—88no—
1639C2×C4—1616no—
1640C2×C4C2×#38011yescharacteristic
1641C2×C4C2×#38011yescharacteristic
1642C2×C4C2×#38011yescharacteristic
1643C2×C4C2×#38011yescharacteristic
1644C2×C4C2×#38011yescharacteristic
1645C2×C4C2×#38011yescharacteristic
1646C2×C4C2×#38011yescharacteristic
1647C2×C4C2×#38011yescharacteristic
1648C2×C4C2×#38012yes—
1649C2×C4C2×#38012yes—
1650C2×C4C2×#38012yes—
1651C2×C4C2×#38012yes—
1652C2×C4C2×#38012yes—
1653C2×C4C2×#38011yescharacteristic
1654C2×C4C2×#38011yescharacteristic
1655C2×C4C2×#41014yes—
1656C2×C4#291114yes—
1657C2×C4C23×C22⋊C411yescharacteristic
1658C2×C4C22×#11711yescharacteristic
1659C2×C4C22×C22⋊Q812yes—
1660C8—24no—
1661C8—28no—
1662C8—48no—
1663C8C2×#41018yes—
1664C22—21no—
1665C22—22no—
1666C22—21no—
1667C22—21no—
1668C22—22no—
1669C22—21no—
1670C22—21no—
1671C22—22no—
1672C22—21no—
1673C22—22no—
1674C22—24no—
1675C22—21no—
1676C22—22no—
1677C22—44no—
1678C22—48no—
1679C22—44no—
1680C22—44no—
1681C22—44no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—84no—
1688C22—82no—
1689C22—88no—
1690C22—82no—
1691C22—82no—
1692C22—88no—
1693C22#2063212yes—
1694C22C22×#38011yescharacteristic
1695C22C2×#291112yes—
1696C22#6044414yes—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—22no—
1701C4—22no—
1702C4—21no—
1703C4—21no—
1704C4—22no—
1705C4—22no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—24no—
1711C4—22no—
1712C4—22no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—168no—
1719C4—168no—
1720C4#2063212yes—
1721C4#2067112yes—
1722C4C22×#41012yes—
1723C2—24no—
1724C2—22no—
1725C2—22no—
1726C2—42no—
1727C2—41no—
1728C2—44no—
1729C2—82no—
1730C2C2×#2063211yescharacteristic
1731C2#637081011yescharacteristic
1732C2C2×#2067111yescharacteristic
subgroupG/H
centerC2×C4C2×#380
commutatorC22×C4C24×C4
Frattini, cosocleC23×C4C25
socleC22C22×#380
prime radicalC23×#41D4
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C2×C4 ◁ C23×C42 ◁ G
LECSG ▷ C23×C4 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #6371210C2semidirect
5. #188815C2semidirect
6. #188814C2semidirect
7. #188813C2semidirect
8. #188809C2semidirect
9. #181239C2semidirect
16. C2×#2971C4semidirect
17. C2×#2970C4semidirect
19. C2×#2965C4semidirect
22. C2×Q8×M16C4semidirect
23. C2×D4×M16C4semidirect
25. C2×#2920C4semidirect
27. C22×C4×M16C4semidirect
32. #20823C22semidirect
34. #20818C22semidirect
59. #8610C22semidirect
60. #8609C22semidirect
61. #8608C22semidirect
62. #7984C22semidirect
64. #7980C22semidirect
119. C2×#446C2×C4semidirect
120. C2×#446C2×C4semidirect
121. C2×C8×Q8C2×C4semidirect
129. C2×#436C2×C4semidirect
131. C2×#435C2×C4semidirect
133. C2×C8×D4C2×C4semidirect
144. C2×#432C2×C4semidirect
145. C2×#432C2×C4semidirect
148. C2×#431C2×C4semidirect
149. C2×#431C2×C4semidirect
170. C2×C4×M16C2×C4semidirect
171. C2×C4×M16C2×C4semidirect
177. C22×#97C2×C4semidirect
179. C22×C4×C8C2×C4semidirect
1370. M16#410semidirect

Maximal subgroups

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

subgroupindex
C2×M16×#412
#63712102
#63709372
C2×#207232
#1888152
#1888142
#1888132
#1888092
#1812392