Finite Group Databasebeta

← C22×#14173 #72337041

Subgroups — C22×#14173 #72337041

Order 1024.

80157 conjugacy classes of subgroups.

The subgroup lattice has 1779 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×C4×D4C211yesmaximal, characteristic
2C23×#394C211yesmaximal, characteristic
3C23×#388C211yesmaximal, characteristic, complemented
4C23×#387C211yesmaximal, characteristic, complemented
5C23×C4×C22⋊C4C211yesmaximal, characteristic, complemented
6C2×#14173C2148yesmaximal, direct product factor
7C22×#1440C211yesmaximal, characteristic, complemented
8C22×#1439C211yesmaximal, characteristic, complemented
9C22×#1438C211yesmaximal, characteristic
10C22×#1437C211yesmaximal, characteristic, complemented
11C22×#1436C211yesmaximal, characteristic, complemented
12C22×#1436C211yesmaximal, characteristic, complemented
13C22×#1436C211yesmaximal, characteristic, complemented
14C22×C22⋊#95C211yesmaximal, characteristic, complemented
15C22×C22⋊#95C211yesmaximal, characteristic, complemented
16C22×C22⋊#95C211yesmaximal, characteristic, complemented
17C25×D4C2211yescharacteristic
18C26×C4C2211yescharacteristic
19C26×C4C2211yescharacteristic
20C23×C4×D4—216no—
21C23×C4×D4—216no—
22C23×C4×D4—216no—
23C23×C4×D4C22124yes—
24C24×C4⋊C4C2211yescharacteristic
25C24×C4⋊C4C2211yescharacteristic
26C24×C4⋊C4C2211yescharacteristic
27C24×C22⋊C4C2211yescharacteristic
28C24×C22⋊C4C2211yescharacteristic
29C24×C22⋊C4C2211yescharacteristic
30C24×C22⋊C4C2211yescharacteristic
31C24×C22⋊C4C2211yescharacteristic
32C24×C22⋊C4C2211yescharacteristic
33C24×C22⋊C4C2211yescharacteristic
34C24×C22⋊C4C2211yescharacteristic
35C24×C22⋊C4C2211yescharacteristic
36C24×C22⋊C4C2211yescharacteristic
37C24×C42C2211yescharacteristic
38C24×C42C2211yescharacteristic
39C24×C42C2211yescharacteristic
40C22×#394C4132yescomplemented
41C22×#394C22124yes—
42C22×#388—216no—
43C22×#388C22124yescomplemented
44C22×#387—216no—
45C22×#387C22124yescomplemented
46C22×C4×C22⋊C4—216no—
47C22×C4×C22⋊C4C22124yescomplemented
48C23×#95C2211yescharacteristic
49C23×#95C2211yescharacteristic
50C23×#95C2211yescharacteristic
51C23×#95C2211yescharacteristic
52C23×#95C2211yescharacteristic
53C23×#95C2211yescharacteristic
54C23×#95C2211yescharacteristic
55C23×#95C2211yescharacteristic
56C23×#95C2211yescharacteristic
57C23×#95C2211yescharacteristic
58C23×#95C2211yescharacteristic
59C23×#95C2211yescharacteristic
60C23×#95C2211yescharacteristic
61C23×#95C2211yescharacteristic
62C23×#95C2211yescharacteristic
63C23×#95C2211yescharacteristic
64#14173C221256yesdirect product factor
65C2×#1440C22124yescomplemented
66C2×#1439C22124yescomplemented
67C2×#1438C22124yes—
68C2×#1437C22124yescomplemented
69C2×#1436C22124yescomplemented
70C2×#1436C22124yescomplemented
71C2×#1436C22124yescomplemented
72C2×C22⋊#95C22124yescomplemented
73C2×C22⋊#95C22124yescomplemented
74C2×C22⋊#95C22124yescomplemented
75C27C2311yescharacteristic
76C27C2311yescharacteristic
77C24×D4—28no—
78C24×D4—28no—
79C24×D4—28no—
80C24×D4—28no—
81C24×D4—28no—
82C24×D4—28no—
83C24×D4C2×C4116yes—
84C24×D4C23112yes—
85C25×C4—28no—
86C25×C4—28no—
87C25×C4—28no—
88C25×C4—28no—
89C25×C4—28no—
90C25×C4—28no—
91C25×C4—28no—
92C25×C4—28no—
93C25×C4—28no—
94C25×C4—44no—
95C25×C4—44no—
96C25×C4—44no—
97C25×C4—44no—
98C25×C4D4116yes—
99C25×C4C2311yescharacteristic
100C25×C4C2311yescharacteristic
101C25×C4C2311yescharacteristic
102C25×C4C2311yescharacteristic
103C25×C4C2311yescharacteristic
104C25×C4C2311yescharacteristic
105C25×C4C2311yescharacteristic
106C25×C4C2311yescharacteristic
107C25×C4C2311yescharacteristic
108C25×C4C2311yescharacteristic
109C25×C4C23112yes—
110C25×C4C23112yes—
111C25×C4C2311yescharacteristic
112C25×C4C2311yescharacteristic
113C25×C4C2311yescharacteristic
114C22×C4×D4—2512no—
115C22×C4×D4—2192no—
116C22×C4×D4—2192no—
117C22×C4×D4—2192no—
118C22×C4×D4C23164yes—
119C23×C4⋊C4—28no—
120C23×C4⋊C4—28no—
121C23×C4⋊C4—28no—
122C23×C4⋊C4—28no—
123C23×C4⋊C4—28no—
124C23×C4⋊C4—28no—
125C23×C4⋊C4—44no—
126C23×C4⋊C4C2×C4116yescomplemented
127C23×C4⋊C4D4116yes—
128C23×C4⋊C4C23112yes—
129C23×C4⋊C4C23112yes—
130C23×C4⋊C4C23112yes—
131C23×C22⋊C4—28no—
132C23×C22⋊C4—28no—
133C23×C22⋊C4—28no—
134C23×C22⋊C4—28no—
135C23×C22⋊C4—28no—
136C23×C22⋊C4—28no—
137C23×C22⋊C4—28no—
138C23×C22⋊C4—28no—
139C23×C22⋊C4—28no—
140C23×C22⋊C4—28no—
141C23×C22⋊C4—28no—
142C23×C22⋊C4—28no—
143C23×C22⋊C4—28no—
144C23×C22⋊C4—28no—
145C23×C22⋊C4—28no—
146C23×C22⋊C4—28no—
147C23×C22⋊C4—28no—
148C23×C22⋊C4—44no—
149C23×C22⋊C4—44no—
150C23×C22⋊C4—44no—
151C23×C22⋊C4—44no—
152C23×C22⋊C4—44no—
153C23×C22⋊C4—44no—
154C23×C22⋊C4—44no—
155C23×C22⋊C4—44no—
156C23×C22⋊C4C2×C4116yescomplemented
157C23×C22⋊C4C2×C4116yescomplemented
158C23×C22⋊C4C2×C4116yescomplemented
159C23×C22⋊C4C2×C4116yescomplemented
160C23×C22⋊C4D4116yes—
161C23×C22⋊C4C23112yes—
162C23×C22⋊C4C23112yes—
163C23×C22⋊C4C23112yes—
164C23×C22⋊C4C23112yes—
165C23×C22⋊C4C23112yes—
166C23×C22⋊C4C23112yes—
167C23×C22⋊C4C23112yes—
168C23×C22⋊C4C23112yes—
169C23×C22⋊C4C23112yes—
170C23×C22⋊C4C23112yes—
171C23×C42—28no—
172C23×C42—28no—
173C23×C42—28no—
174C23×C42—28no—
175C23×C42—28no—
176C23×C42—28no—
177C23×C42—28no—
178C23×C42—44no—
179C23×C42—44no—
180C23×C42C23112yes—
181C23×C42C23112yes—
182C23×C42C23112yes—
183C2×#394C2×C41384yescomplemented
184C2×#394C23164yes—
185C2×#388—2192no—
186C2×#388C23164yescomplemented
187C2×#387—2192no—
188C2×#387C23164yescomplemented
189C2×C4×C22⋊C4—2192no—
190C2×C4×C22⋊C4C23164yescomplemented
191C22×#95—28no—
192C22×#95—28no—
193C22×#95—28no—
194C22×#95—28no—
195C22×#95—28no—
196C22×#95—28no—
197C22×#95—28no—
198C22×#95—28no—
199C22×#95—28no—
200C22×#95—28no—
201C22×#95—28no—
202C22×#95—28no—
203C22×#95—44no—
204C22×#95—44no—
205C22×#95—44no—
206C22×#95C2×C4116yescomplemented
207C22×#95C23112yes—
208C22×#95C23112yes—
209C22×#95C23112yes—
210C22×#95C23112yes—
211C22×#95C23112yes—
212C22×#95C23112yes—
213C22×#95C23112yes—
214C22×#95C23112yes—
215C22×#95C23112yes—
216C22×#95C23112yes—
217C22×#95C23112yes—
218C22×#95C23112yes—
219C22×#95C23112yes—
220C22×#95C23112yes—
221C22×#95C23112yes—
222C22×#95C23112yes—
223#1440C23164yescomplemented
224#1439C23164yescomplemented
225#1438C23164yes—
226#1437C23164yescomplemented
227#1436C23164yescomplemented
228#1436C23164yescomplemented
229#1436C23164yescomplemented
230C22⋊#95C23164yescomplemented
231C22⋊#95C23164yescomplemented
232C22⋊#95C23164yescomplemented
233C26—24no—
234C26—24no—
235C26—24no—
236C26—24no—
237C26—24no—
238C26—24no—
239C26—24no—
240C26—24no—
241C26—24no—
242C26—24no—
243C26—24no—
244C26—24no—
245C26—24no—
246C26—24no—
247C26—24no—
248C26—24no—
249C26—24no—
250C26—24no—
251C26—24no—
252C26—24no—
253C26—24no—
254C26—24no—
255C26—24no—
256C26—24no—
257C26C22×C418yes—
258C26C22×C418yes—
259C26C2×D418yes—
260C26C2×D418yes—
261C26#4118yes—
262C26#4118yes—
263C26C2416yes—
264C26C2416yes—
265C26C2411yescharacteristic
266C23×D4—2128no—
267C23×D4—2128no—
268C23×D4—2128no—
269C23×D4—2128no—
270C23×D4—2128no—
271C23×D4—2128no—
272C23×D4—248no—
273C23×D4—248no—
274C23×D4—248no—
275C23×D4—248no—
276C23×D4—2128no—
277C23×D4—248no—
278C23×D4—248no—
279C23×D4C22×C4196yes—
280C23×D4C24116yes—
281C24×C4—24no—
282C24×C4—24no—
283C24×C4—24no—
284C24×C4—24no—
285C24×C4—24no—
286C24×C4—24no—
287C24×C4—24no—
288C24×C4—24no—
289C24×C4—24no—
290C24×C4—24no—
291C24×C4—24no—
292C24×C4—24no—
293C24×C4—2128no—
294C24×C4—24no—
295C24×C4—24no—
296C24×C4—248no—
297C24×C4—24no—
298C24×C4—24no—
299C24×C4—24no—
300C24×C4—24no—
301C24×C4—24no—
302C24×C4—24no—
303C24×C4—24no—
304C24×C4—24no—
305C24×C4—24no—
306C24×C4—24no—
307C24×C4—24no—
308C24×C4—24no—
309C24×C4—24no—
310C24×C4—24no—
311C24×C4—24no—
312C24×C4—24no—
313C24×C4—24no—
314C24×C4—24no—
315C24×C4—24no—
316C24×C4—24no—
317C24×C4—24no—
318C24×C4—24no—
319C24×C4—24no—
320C24×C4—24no—
321C24×C4—24no—
322C24×C4—24no—
323C24×C4—24no—
324C24×C4—24no—
325C24×C4—24no—
326C24×C4—24no—
327C24×C4—24no—
328C24×C4—24no—
329C24×C4—24no—
330C24×C4—24no—
331C24×C4—24no—
332C24×C4—24no—
333C24×C4—24no—
334C24×C4—24no—
335C24×C4—24no—
336C24×C4—24no—
337C24×C4—24no—
338C24×C4—24no—
339C24×C4—24no—
340C24×C4—24no—
341C24×C4—24no—
342C24×C4—24no—
343C24×C4—2128no—
344C24×C4—2128no—
345C24×C4—248no—
346C24×C4—248no—
347C24×C4—248no—
348C24×C4—248no—
349C24×C4—248no—
350C24×C4—248no—
351C24×C4—24no—
352C24×C4—24no—
353C24×C4—24no—
354C24×C4—24no—
355C24×C4—24no—
356C24×C4—24no—
357C24×C4—24no—
358C24×C4—24no—
359C24×C4—24no—
360C24×C4—24no—
361C24×C4—24no—
362C24×C4—24no—
363C24×C4—24no—
364C24×C4—24no—
365C24×C4—248no—
366C24×C4—248no—
367C24×C4—464no—
368C24×C4—424no—
369C24×C4—424no—
370C24×C4—424no—
371C24×C4—424no—
372C24×C4—464no—
373C24×C4—464no—
374C24×C4—464no—
375C24×C4—464no—
376C24×C4—464no—
377C24×C4—464no—
378C24×C4—464no—
379C24×C4—464no—
380C24×C4—464no—
381C24×C4—464no—
382C24×C4C22×C418yes—
383C24×C4C22×C418yes—
384C24×C4C22×C418yes—
385C24×C4C22×C418yes—
386C24×C4C22×C418yes—
387C24×C4C2×D418yes—
388C24×C4C2×D418yes—
389C24×C4C2×D4196yes—
390C24×C4C2×D418yes—
391C24×C4C2×D418yes—
392C24×C4C2×D418yes—
393C24×C4C2×D418yes—
394C24×C4C2×D418yes—
395C24×C4#4118yes—
396C24×C4#4118yes—
397C24×C4#4118yes—
398C24×C4#4118yes—
399C24×C4#4118yes—
400C24×C4C2416yes—
401C24×C4C2416yes—
402C24×C4C2416yes—
403C24×C4C2416yes—
404C24×C4C2416yes—
405C24×C4C2416yes—
406C24×C4C2416yes—
407C24×C4C2416yes—
408C24×C4C2416yes—
409C24×C4C2416yes—
410C24×C4C24116yes—
411C24×C4C24116yes—
412C24×C4C2416yes—
413C24×C4C2416yes—
414C24×C4C2416yes—
415C2×C4×D4—23072no—
416C2×C4×D4—2256no—
417C2×C4×D4—2256no—
418C2×C4×D4—2256no—
419C22×C4⋊C4—2128no—
420C22×C4⋊C4—2128no—
421C22×C4⋊C4—248no—
422C22×C4⋊C4—248no—
423C22×C4⋊C4—248no—
424C22×C4⋊C4—248no—
425C22×C4⋊C4—248no—
426C22×C4⋊C4—248no—
427C22×C4⋊C4—424no—
428C22×C4⋊C4—464no—
429C22×C4⋊C4C22×C4196yescomplemented
430C22×C4⋊C4C2×D4196yes—
431C22×C4⋊C4C24116yes—
432C22×C4⋊C4C24116yes—
433C22×C4⋊C4C24116yes—
434C22×C22⋊C4—2128no—
435C22×C22⋊C4—2128no—
436C22×C22⋊C4—2128no—
437C22×C22⋊C4—2128no—
438C22×C22⋊C4—248no—
439C22×C22⋊C4—248no—
440C22×C22⋊C4—248no—
441C22×C22⋊C4—248no—
442C22×C22⋊C4—248no—
443C22×C22⋊C4—248no—
444C22×C22⋊C4—2128no—
445C22×C22⋊C4—248no—
446C22×C22⋊C4—248no—
447C22×C22⋊C4—248no—
448C22×C22⋊C4—248no—
449C22×C22⋊C4—248no—
450C22×C22⋊C4—248no—
451C22×C22⋊C4—248no—
452C22×C22⋊C4—248no—
453C22×C22⋊C4—248no—
454C22×C22⋊C4—248no—
455C22×C22⋊C4—248no—
456C22×C22⋊C4—464no—
457C22×C22⋊C4—464no—
458C22×C22⋊C4—424no—
459C22×C22⋊C4—424no—
460C22×C22⋊C4—424no—
461C22×C22⋊C4—424no—
462C22×C22⋊C4—424no—
463C22×C22⋊C4—424no—
464C22×C22⋊C4—424no—
465C22×C22⋊C4—424no—
466C22×C22⋊C4—464no—
467C22×C22⋊C4—464no—
468C22×C22⋊C4—464no—
469C22×C22⋊C4C22×C4196yescomplemented
470C22×C22⋊C4C22×C4196yescomplemented
471C22×C22⋊C4C22×C4196yescomplemented
472C22×C22⋊C4C22×C4196yescomplemented
473C22×C22⋊C4C2×D4196yes—
474C22×C22⋊C4C24116yes—
475C22×C22⋊C4C24116yes—
476C22×C22⋊C4C24116yes—
477C22×C22⋊C4C24116yes—
478C22×C22⋊C4C24116yes—
479C22×C22⋊C4C24116yes—
480C22×C22⋊C4C24116yes—
481C22×C22⋊C4C24116yes—
482C22×C22⋊C4C24116yes—
483C22×C22⋊C4C24116yes—
484C22×C42—2128no—
485C22×C42—248no—
486C22×C42—248no—
487C22×C42—248no—
488C22×C42—248no—
489C22×C42—248no—
490C22×C42—248no—
491C22×C42—248no—
492C22×C42—424no—
493C22×C42—424no—
494C22×C42—464no—
495C22×C42—464no—
496C22×C42C24116yes—
497C22×C42C24116yes—
498C22×C42C24116yes—
499#394C22×C41512yescomplemented
500#388—2256no—
501#387—2256no—
502C4×C22⋊C4—2256no—
503C2×#95—248no—
504C2×#95—248no—
505C2×#95—248no—
506C2×#95—248no—
507C2×#95—248no—
508C2×#95—248no—
509C2×#95—248no—
510C2×#95—248no—
511C2×#95—248no—
512C2×#95—248no—
513C2×#95—248no—
514C2×#95—248no—
515C2×#95—424no—
516C2×#95—424no—
517C2×#95—424no—
518C2×#95C22×C4196yescomplemented
519C2×#95C24116yes—
520C2×#95C24116yes—
521C2×#95C24116yes—
522C2×#95C24116yes—
523C2×#95C24116yes—
524C2×#95C24116yes—
525C2×#95C24116yes—
526C2×#95C24116yes—
527C2×#95C24116yes—
528C2×#95C24116yes—
529C2×#95C24116yes—
530C2×#95C24116yes—
531C2×#95C24116yes—
532C2×#95C24116yes—
533C2×#95C24116yes—
534C2×#95C24116yes—
535C25—232no—
536C25—232no—
537C25—232no—
538C25—232no—
539C25—232no—
540C25—232no—
541C25—232no—
542C25—232no—
543C25—232no—
544C25—232no—
545C25—232no—
546C25—232no—
547C25—232no—
548C25—232no—
549C25—232no—
550C25—232no—
551C25—232no—
552C25—232no—
553C25—232no—
554C25—232no—
555C25—232no—
556C25—232no—
557C25—232no—
558C25—232no—
559C25—232no—
560C25—232no—
561C25—232no—
562C25—232no—
563C25—232no—
564C25—232no—
565C25—232no—
566C25—232no—
567C25—232no—
568C25—232no—
569C25—232no—
570C25—232no—
571C25—212no—
572C25—212no—
573C25—212no—
574C25—212no—
575C25—212no—
576C25—212no—
577C25—212no—
578C25—212no—
579C25—212no—
580C25—212no—
581C25—212no—
582C25—212no—
583C25—212no—
584C25—212no—
585C25—212no—
586C25—212no—
587C25—212no—
588C25—212no—
589C25—212no—
590C25—212no—
591C25—212no—
592C25—212no—
593C25—212no—
594C25—212no—
595C25—416no—
596C25—416no—
597C25—416no—
598C25—416no—
599C25—416no—
600C25—416no—
601C25—416no—
602C25—416no—
603C25—416no—
604C25—416no—
605C25—416no—
606C25—416no—
607C25—416no—
608C25—416no—
609C25—416no—
610C25—416no—
611C25—416no—
612C25—416no—
613C25—416no—
614C25—416no—
615C25—416no—
616C25—416no—
617C25—416no—
618C25—416no—
619C25—416no—
620C25—416no—
621C25—416no—
622C25—416no—
623C25—416no—
624C25—416no—
625C25—416no—
626C25—416no—
627C25C4×D4164yes—
628C25C4×D4164yes—
629C25C23×C4124yes—
630C25C23×C4124yes—
631C25C23×C414yes—
632C25C22×D4124yes—
633C25C22×D4124yes—
634C25C22×D414yes—
635C25C22×D414yes—
636C25C22×D414yes—
637C25C2×#41124yes—
638C25C2×#41124yes—
639C25C2×#4114yes—
640C25C2×#4114yes—
641C25C2×#4114yes—
642C25C2×#4114yes—
643C25C2×#4114yes—
644C25C2×#4114yes—
645C25C2×#4114yes—
646C25H(5,𝔽2)14yes—
647C25H(5,𝔽2)14yes—
648C25H(5,𝔽2)14yes—
649C252−1+414yes—
650C25C2514yes—
651C25C2514yes—
652C25C2513yes—
653C22×D4—2384no—
654C22×D4—2384no—
655C22×D4—2384no—
656C22×D4—2384no—
657C22×D4—22048no—
658C22×D4—2384no—
659C22×D4—2384no—
660C22×D4—232no—
661C22×D4—232no—
662C22×D4—232no—
663C22×D4—232no—
664C22×D4—2384no—
665C22×D4—232no—
666C22×D4—232no—
667C22×D4C23×C4164yes—
668C23×C4—232no—
669C23×C4—232no—
670C23×C4—232no—
671C23×C4—232no—
672C23×C4—232no—
673C23×C4—232no—
674C23×C4—232no—
675C23×C4—232no—
676C23×C4—232no—
677C23×C4—232no—
678C23×C4—232no—
679C23×C4—232no—
680C23×C4—232no—
681C23×C4—232no—
682C23×C4—232no—
683C23×C4—232no—
684C23×C4—232no—
685C23×C4—232no—
686C23×C4—212no—
687C23×C4—212no—
688C23×C4—212no—
689C23×C4—212no—
690C23×C4—212no—
691C23×C4—212no—
692C23×C4—212no—
693C23×C4—212no—
694C23×C4—212no—
695C23×C4—212no—
696C23×C4—212no—
697C23×C4—212no—
698C23×C4—2384no—
699C23×C4—232no—
700C23×C4—232no—
701C23×C4—232no—
702C23×C4—232no—
703C23×C4—232no—
704C23×C4—232no—
705C23×C4—232no—
706C23×C4—232no—
707C23×C4—232no—
708C23×C4—232no—
709C23×C4—232no—
710C23×C4—232no—
711C23×C4—232no—
712C23×C4—232no—
713C23×C4—232no—
714C23×C4—232no—
715C23×C4—232no—
716C23×C4—232no—
717C23×C4—232no—
718C23×C4—232no—
719C23×C4—232no—
720C23×C4—232no—
721C23×C4—232no—
722C23×C4—232no—
723C23×C4—212no—
724C23×C4—212no—
725C23×C4—212no—
726C23×C4—212no—
727C23×C4—212no—
728C23×C4—212no—
729C23×C4—212no—
730C23×C4—212no—
731C23×C4—212no—
732C23×C4—212no—
733C23×C4—212no—
734C23×C4—212no—
735C23×C4—212no—
736C23×C4—232no—
737C23×C4—212no—
738C23×C4—212no—
739C23×C4—212no—
740C23×C4—212no—
741C23×C4—212no—
742C23×C4—212no—
743C23×C4—212no—
744C23×C4—212no—
745C23×C4—212no—
746C23×C4—212no—
747C23×C4—212no—
748C23×C4—212no—
749C23×C4—212no—
750C23×C4—212no—
751C23×C4—212no—
752C23×C4—212no—
753C23×C4—212no—
754C23×C4—212no—
755C23×C4—212no—
756C23×C4—212no—
757C23×C4—212no—
758C23×C4—212no—
759C23×C4—212no—
760C23×C4—212no—
761C23×C4—212no—
762C23×C4—212no—
763C23×C4—212no—
764C23×C4—212no—
765C23×C4—212no—
766C23×C4—212no—
767C23×C4—212no—
768C23×C4—212no—
769C23×C4—212no—
770C23×C4—212no—
771C23×C4—212no—
772C23×C4—2384no—
773C23×C4—2384no—
774C23×C4—232no—
775C23×C4—232no—
776C23×C4—232no—
777C23×C4—232no—
778C23×C4—232no—
779C23×C4—232no—
780C23×C4—212no—
781C23×C4—212no—
782C23×C4—212no—
783C23×C4—212no—
784C23×C4—212no—
785C23×C4—212no—
786C23×C4—212no—
787C23×C4—212no—
788C23×C4—212no—
789C23×C4—212no—
790C23×C4—212no—
791C23×C4—212no—
792C23×C4—212no—
793C23×C4—212no—
794C23×C4—232no—
795C23×C4—232no—
796C23×C4—4192no—
797C23×C4—416no—
798C23×C4—416no—
799C23×C4—416no—
800C23×C4—416no—
801C23×C4—41024no—
802C23×C4—4192no—
803C23×C4—4192no—
804C23×C4—4192no—
805C23×C4—4192no—
806C23×C4—4192no—
807C23×C4—4192no—
808C23×C4—4192no—
809C23×C4—4192no—
810C23×C4—41024no—
811C23×C4—4192no—
812C23×C4—416no—
813C23×C4—416no—
814C23×C4—416no—
815C23×C4—416no—
816C23×C4—416no—
817C23×C4—416no—
818C23×C4—416no—
819C23×C4—416no—
820C23×C4—416no—
821C23×C4—416no—
822C23×C4—416no—
823C23×C4—416no—
824C23×C4—416no—
825C23×C4—416no—
826C23×C4—416no—
827C23×C4—416no—
828C23×C4—416no—
829C23×C4—416no—
830C23×C4—416no—
831C23×C4—416no—
832C23×C4—416no—
833C23×C4—416no—
834C23×C4—416no—
835C23×C4—416no—
836C23×C4—416no—
837C23×C4—416no—
838C23×C4—416no—
839C23×C4—416no—
840C23×C4—416no—
841C23×C4—416no—
842C23×C4—416no—
843C23×C4—416no—
844C23×C4—4192no—
845C23×C4—416no—
846C23×C4—416no—
847C23×C4—416no—
848C23×C4—416no—
849C23×C4—416no—
850C23×C4—416no—
851C23×C4—416no—
852C23×C4—416no—
853C23×C4—416no—
854C23×C4—416no—
855C23×C4—416no—
856C23×C4—416no—
857C23×C4—416no—
858C23×C4—416no—
859C23×C4C4×D4164yes—
860C23×C4#120164yes—
861C23×C4#123164yes—
862C23×C4C23×C4124yes—
863C23×C4C23×C4124yes—
864C23×C4C23×C4124yes—
865C23×C4C23×C4124yes—
866C23×C4C23×C4124yes—
867C23×C4C22×D4124yes—
868C23×C4C22×D4124yes—
869C23×C4C22×D4164yes—
870C23×C4C22×D4124yes—
871C23×C4C22×D4124yes—
872C23×C4C22×D4124yes—
873C23×C4C22×D4124yes—
874C23×C4C22×D4124yes—
875C23×C4C2×#41124yes—
876C23×C4C2×#41124yes—
877C23×C4C2×#41124yes—
878C23×C4C2×#41124yes—
879C23×C4C2×#41124yes—
880C23×C4C2514yes—
881C23×C4C2514yes—
882C23×C4C2514yes—
883C23×C4C2514yes—
884C23×C4C2514yes—
885C23×C4C2514yes—
886C23×C4C2514yes—
887C23×C4C2514yes—
888C23×C4C2514yes—
889C23×C4C2514yes—
890C23×C4C2514yes—
891C23×C4C2514yes—
892C23×C4C2514yes—
893C4×D4—22048no—
894C2×C4⋊C4—2384no—
895C2×C4⋊C4—2384no—
896C2×C4⋊C4—232no—
897C2×C4⋊C4—232no—
898C2×C4⋊C4—232no—
899C2×C4⋊C4—232no—
900C2×C4⋊C4—232no—
901C2×C4⋊C4—232no—
902C2×C4⋊C4—416no—
903C2×C4⋊C4—4192no—
904C2×C4⋊C4C23×C4164yescomplemented
905C2×C4⋊C4C22×D4164yes—
906C2×C22⋊C4—2384no—
907C2×C22⋊C4—2384no—
908C2×C22⋊C4—2384no—
909C2×C22⋊C4—2384no—
910C2×C22⋊C4—232no—
911C2×C22⋊C4—232no—
912C2×C22⋊C4—232no—
913C2×C22⋊C4—232no—
914C2×C22⋊C4—232no—
915C2×C22⋊C4—232no—
916C2×C22⋊C4—2384no—
917C2×C22⋊C4—232no—
918C2×C22⋊C4—232no—
919C2×C22⋊C4—232no—
920C2×C22⋊C4—232no—
921C2×C22⋊C4—232no—
922C2×C22⋊C4—232no—
923C2×C22⋊C4—232no—
924C2×C22⋊C4—232no—
925C2×C22⋊C4—232no—
926C2×C22⋊C4—232no—
927C2×C22⋊C4—232no—
928C2×C22⋊C4—4192no—
929C2×C22⋊C4—4192no—
930C2×C22⋊C4—416no—
931C2×C22⋊C4—416no—
932C2×C22⋊C4—416no—
933C2×C22⋊C4—416no—
934C2×C22⋊C4—416no—
935C2×C22⋊C4—416no—
936C2×C22⋊C4—416no—
937C2×C22⋊C4—416no—
938C2×C22⋊C4—4192no—
939C2×C22⋊C4—4192no—
940C2×C22⋊C4—4192no—
941C2×C22⋊C4C23×C4164yescomplemented
942C2×C22⋊C4C23×C4164yescomplemented
943C2×C22⋊C4C23×C4164yescomplemented
944C2×C22⋊C4C23×C4164yescomplemented
945C2×C22⋊C4C22×D4164yes—
946C2×C42—2384no—
947C2×C42—232no—
948C2×C42—232no—
949C2×C42—232no—
950C2×C42—232no—
951C2×C42—232no—
952C2×C42—232no—
953C2×C42—232no—
954C2×C42—416no—
955C2×C42—416no—
956C2×C42—4192no—
957C2×C42—4192no—
958#95—232no—
959#95—232no—
960#95—232no—
961#95—232no—
962#95—232no—
963#95—232no—
964#95—232no—
965#95—232no—
966#95—232no—
967#95—232no—
968#95—232no—
969#95—232no—
970#95—416no—
971#95—416no—
972#95—416no—
973#95C23×C4164yescomplemented
974C24—24no—
975C24—24no—
976C24—24no—
977C24—24no—
978C24—24no—
979C24—24no—
980C24—24no—
981C24—24no—
982C24—24no—
983C24—24no—
984C24—24no—
985C24—24no—
986C24—24no—
987C24—24no—
988C24—24no—
989C24—24no—
990C24—24no—
991C24—24no—
992C24—24no—
993C24—24no—
994C24—24no—
995C24—24no—
996C24—24no—
997C24—24no—
998C24—2256no—
999C24—2256no—
1000C24—2256no—
1001C24—248no—
1002C24—248no—
1003C24—248no—
1004C24—248no—
1005C24—248no—
1006C24—248no—
1007C24—248no—
1008C24—248no—
1009C24—248no—
1010C24—248no—
1011C24—248no—
1012C24—248no—
1013C24—248no—
1014C24—248no—
1015C24—248no—
1016C24—248no—
1017C24—248no—
1018C24—248no—
1019C24—248no—
1020C24—248no—
1021C24—248no—
1022C24—248no—
1023C24—248no—
1024C24—248no—
1025C24—248no—
1026C24—248no—
1027C24—248no—
1028C24—248no—
1029C24—248no—
1030C24—248no—
1031C24—248no—
1032C24—248no—
1033C24—248no—
1034C24—248no—
1035C24—248no—
1036C24—248no—
1037C24—2256no—
1038C24—2256no—
1039C24—2256no—
1040C24—4128no—
1041C24—4128no—
1042C24—4128no—
1043C24—4128no—
1044C24—4128no—
1045C24—4128no—
1046C24—4128no—
1047C24—4128no—
1048C24—4128no—
1049C24—4128no—
1050C24—4128no—
1051C24—4128no—
1052C24—4128no—
1053C24—424no—
1054C24—424no—
1055C24—424no—
1056C24—424no—
1057C24—424no—
1058C24—424no—
1059C24—424no—
1060C24—424no—
1061C24—424no—
1062C24—424no—
1063C24—424no—
1064C24—424no—
1065C24—424no—
1066C24—424no—
1067C24—424no—
1068C24—424no—
1069C24—424no—
1070C24—424no—
1071C24—424no—
1072C24—424no—
1073C24—424no—
1074C24—424no—
1075C24—424no—
1076C24—424no—
1077C24—424no—
1078C24—424no—
1079C24—424no—
1080C24—424no—
1081C24—424no—
1082C24—424no—
1083C24—424no—
1084C24—424no—
1085C24—4128no—
1086C24—4128no—
1087C24—4128no—
1088C24—4128no—
1089C24—4128no—
1090C24—4128no—
1091C24—4128no—
1092C24—4128no—
1093C24—4128no—
1094C24—4128no—
1095C24—4128no—
1096C24C2×C4×D4196yes—
1097C24C2×C4×D4196yes—
1098C24C2×C4×D4116yes—
1099C24C2×C4×D4116yes—
1100C24C2×C4×D4116yes—
1101C24C4×#41116yes—
1102C24C4×#41116yes—
1103C24#518116yes—
1104C24#520116yes—
1105C24C2×#120116yes—
1106C24C2×#123116yes—
1107C24#525116yes—
1108C24#525116yes—
1109C24#525116yes—
1110C24#525116yes—
1111C24#529116yes—
1112C24#529116yes—
1113C24#534116yes—
1114C24#537116yes—
1115C24#538116yes—
1116C24#539116yes—
1117C24#546116yes—
1118C24#546116yes—
1119C24#546116yes—
1120C24#546116yes—
1121C24#546116yes—
1122C24#547116yes—
1123C24#548116yes—
1124C24#550116yes—
1125C24#551116yes—
1126C24#552116yes—
1127C24#553116yes—
1128C24#553116yes—
1129C24#553116yes—
1130C24#555116yes—
1131C24#556116yes—
1132C24#559116yes—
1133C24C24×C418yes—
1134C24C24×C418yes—
1135C24C24×C416yes—
1136C24C23×D418yes—
1137C24C23×D418yes—
1138C24C23×D416yes—
1139C24C23×D416yes—
1140C24C23×D416yes—
1141C24C22×#4118yes—
1142C24C22×#4118yes—
1143C24C22×#4116yes—
1144C24C22×#4116yes—
1145C24C22×#4116yes—
1146C24C22×#4116yes—
1147C24C22×#4116yes—
1148C24C22×#4116yes—
1149C24C22×#4116yes—
1150C24C2×H(5,𝔽2)16yes—
1151C24C2×H(5,𝔽2)16yes—
1152C24C2×H(5,𝔽2)16yes—
1153C24C2×2−1+416yes—
1154C24C2611yescharacteristic
1155C2×D4—2128no—
1156C2×D4—2128no—
1157C2×D4—2128no—
1158C2×D4—2128no—
1159C2×D4—23072no—
1160C2×D4—2128no—
1161C2×D4—2128no—
1162C2×D4—2128no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—248no—
1176C22×C4—248no—
1177C22×C4—2256no—
1178C22×C4—2256no—
1179C22×C4—248no—
1180C22×C4—248no—
1181C22×C4—248no—
1182C22×C4—248no—
1183C22×C4—248no—
1184C22×C4—248no—
1185C22×C4—248no—
1186C22×C4—248no—
1187C22×C4—248no—
1188C22×C4—248no—
1189C22×C4—248no—
1190C22×C4—248no—
1191C22×C4—248no—
1192C22×C4—248no—
1193C22×C4—248no—
1194C22×C4—248no—
1195C22×C4—2256no—
1196C22×C4—2128no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—248no—
1246C22×C4—248no—
1247C22×C4—248no—
1248C22×C4—248no—
1249C22×C4—248no—
1250C22×C4—248no—
1251C22×C4—248no—
1252C22×C4—248no—
1253C22×C4—248no—
1254C22×C4—248no—
1255C22×C4—248no—
1256C22×C4—248no—
1257C22×C4—248no—
1258C22×C4—248no—
1259C22×C4—248no—
1260C22×C4—248no—
1261C22×C4—248no—
1262C22×C4—248no—
1263C22×C4—248no—
1264C22×C4—248no—
1265C22×C4—248no—
1266C22×C4—248no—
1267C22×C4—248no—
1268C22×C4—248no—
1269C22×C4—2128no—
1270C22×C4—2128no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—464no—
1286C22×C4—41536no—
1287C22×C4—464no—
1288C22×C4—464no—
1289C22×C4—464no—
1290C22×C4—464no—
1291C22×C4—464no—
1292C22×C4—464no—
1293C22×C4—464no—
1294C22×C4—464no—
1295C22×C4—41536no—
1296C22×C4—464no—
1297C22×C4—4128no—
1298C22×C4—4128no—
1299C22×C4—4128no—
1300C22×C4—4128no—
1301C22×C4—4128no—
1302C22×C4—4128no—
1303C22×C4—4128no—
1304C22×C4—424no—
1305C22×C4—424no—
1306C22×C4—424no—
1307C22×C4—424no—
1308C22×C4—424no—
1309C22×C4—424no—
1310C22×C4—424no—
1311C22×C4—424no—
1312C22×C4—424no—
1313C22×C4—424no—
1314C22×C4—424no—
1315C22×C4—424no—
1316C22×C4—424no—
1317C22×C4—424no—
1318C22×C4—424no—
1319C22×C4—424no—
1320C22×C4—424no—
1321C22×C4—424no—
1322C22×C4—424no—
1323C22×C4—424no—
1324C22×C4—424no—
1325C22×C4—424no—
1326C22×C4—424no—
1327C22×C4—424no—
1328C22×C4—424no—
1329C22×C4—424no—
1330C22×C4—424no—
1331C22×C4—424no—
1332C22×C4—424no—
1333C22×C4—424no—
1334C22×C4—424no—
1335C22×C4—424no—
1336C22×C4—4128no—
1337C22×C4—464no—
1338C22×C4—424no—
1339C22×C4—424no—
1340C22×C4—424no—
1341C22×C4—424no—
1342C22×C4—424no—
1343C22×C4—424no—
1344C22×C4—424no—
1345C22×C4—424no—
1346C22×C4—424no—
1347C22×C4—424no—
1348C22×C4—424no—
1349C22×C4—424no—
1350C22×C4—424no—
1351C22×C4—424no—
1352C22×C4—864no—
1353C22×C4—864no—
1354C22×C4C2×C4×D4196yes—
1355C22×C4C2×#120196yes—
1356C22×C4C2×#123196yes—
1357C22×C4C24×C418yes—
1358C22×C4C24×C418yes—
1359C22×C4C24×C418yes—
1360C22×C4C24×C418yes—
1361C22×C4C24×C418yes—
1362C22×C4C23×D418yes—
1363C22×C4C23×D418yes—
1364C22×C4C23×D418yes—
1365C22×C4C23×D418yes—
1366C22×C4C23×D418yes—
1367C22×C4C23×D418yes—
1368C22×C4C23×D418yes—
1369C22×C4C22×#4118yes—
1370C22×C4C22×#4118yes—
1371C22×C4C22×#4118yes—
1372C22×C4C22×#4118yes—
1373C22×C4C22×#4118yes—
1374C4⋊C4—2128no—
1375C4⋊C4—2128no—
1376C4⋊C4—464no—
1377C22⋊C4—2128no—
1378C22⋊C4—2128no—
1379C22⋊C4—2128no—
1380C22⋊C4—2128no—
1381C22⋊C4—2128no—
1382C22⋊C4—464no—
1383C22⋊C4—464no—
1384C22⋊C4—464no—
1385C22⋊C4—464no—
1386C22⋊C4—464no—
1387C42—2128no—
1388C42—464no—
1389C42—464no—
1390C23—2192no—
1391C23—2192no—
1392C23—2192no—
1393C23—28no—
1394C23—28no—
1395C23—28no—
1396C23—28no—
1397C23—28no—
1398C23—28no—
1399C23—28no—
1400C23—28no—
1401C23—28no—
1402C23—28no—
1403C23—28no—
1404C23—28no—
1405C23—28no—
1406C23—28no—
1407C23—28no—
1408C23—28no—
1409C23—28no—
1410C23—28no—
1411C23—28no—
1412C23—28no—
1413C23—28no—
1414C23—28no—
1415C23—28no—
1416C23—28no—
1417C23—28no—
1418C23—28no—
1419C23—28no—
1420C23—28no—
1421C23—28no—
1422C23—28no—
1423C23—28no—
1424C23—2192no—
1425C23—2192no—
1426C23—28no—
1427C23—2192no—
1428C23—28no—
1429C23—28no—
1430C23—28no—
1431C23—28no—
1432C23—496no—
1433C23—496no—
1434C23—496no—
1435C23—496no—
1436C23—496no—
1437C23—496no—
1438C23—496no—
1439C23—496no—
1440C23—496no—
1441C23—41024no—
1442C23—41024no—
1443C23—496no—
1444C23—496no—
1445C23—496no—
1446C23—496no—
1447C23—496no—
1448C23—496no—
1449C23—496no—
1450C23—496no—
1451C23—496no—
1452C23—496no—
1453C23—496no—
1454C23—496no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—496no—
1464C23—496no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—496no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—44no—
1488C23—44no—
1489C23—44no—
1490C23C4×#120164yes—
1491C23C4×#123164yes—
1492C23#2325164yes—
1493C23#2359164yes—
1494C23#2363164yes—
1495C23#2364164yes—
1496C23#2367164yes—
1497C23#2405164yes—
1498C23#2407164yes—
1499C23#2459164yes—
1500C23#2460164yes—
1501C23#2466164yes—
1502C23#2467164yes—
1503C23#2485164yes—
1504C23#2600164yes—
1505C23C22×C4×D4116yes—
1506C23C22×C4×D4116yes—
1507C23C22×C4×D4112yes—
1508C23C22×C4×D4112yes—
1509C23C22×C4×D4112yes—
1510C23C2×C4×#41112yes—
1511C23C2×C4×#41112yes—
1512C23C2×#518112yes—
1513C23C2×#520112yes—
1514C23C22×#120112yes—
1515C23C22×#123112yes—
1516C23C2×#525112yes—
1517C23C2×#525112yes—
1518C23C2×#525112yes—
1519C23C2×#525112yes—
1520C23C2×#529112yes—
1521C23C2×#529112yes—
1522C23C2×#534112yes—
1523C23C2×#537112yes—
1524C23C2×#538112yes—
1525C23C2×#539112yes—
1526C23C2×#546112yes—
1527C23C2×#546112yes—
1528C23C2×#546112yes—
1529C23C2×#546112yes—
1530C23C2×#546112yes—
1531C23C2×#547112yes—
1532C23C2×#548112yes—
1533C23C2×#550112yes—
1534C23C2×#551112yes—
1535C23C2×#552112yes—
1536C23C2×#553112yes—
1537C23C2×#553112yes—
1538C23C2×#553112yes—
1539C23C2×#555112yes—
1540C23C2×#556112yes—
1541C23C2×#559112yes—
1542C23C25×C411yescharacteristic
1543C23C24×D411yescharacteristic
1544C23C24×D411yescharacteristic
1545C23C24×D411yescharacteristic
1546C23C23×#4111yescharacteristic
1547C23C23×#4111yescharacteristic
1548C23C23×#4111yescharacteristic
1549C23C23×#4111yescharacteristic
1550C23C23×#4111yescharacteristic
1551C23C23×#4111yescharacteristic
1552C23C23×#4111yescharacteristic
1553C23C22×H(5,𝔽2)11yescharacteristic
1554C23C22×H(5,𝔽2)11yescharacteristic
1555C23C22×H(5,𝔽2)11yescharacteristic
1556C23C22×2−1+411yescharacteristic
1557D4—2512no—
1558C2×C4—2192no—
1559C2×C4—2192no—
1560C2×C4—28no—
1561C2×C4—28no—
1562C2×C4—28no—
1563C2×C4—28no—
1564C2×C4—28no—
1565C2×C4—28no—
1566C2×C4—28no—
1567C2×C4—28no—
1568C2×C4—28no—
1569C2×C4—28no—
1570C2×C4—28no—
1571C2×C4—28no—
1572C2×C4—28no—
1573C2×C4—28no—
1574C2×C4—28no—
1575C2×C4—28no—
1576C2×C4—28no—
1577C2×C4—28no—
1578C2×C4—2192no—
1579C2×C4—28no—
1580C2×C4—28no—
1581C2×C4—28no—
1582C2×C4—28no—
1583C2×C4—28no—
1584C2×C4—28no—
1585C2×C4—28no—
1586C2×C4—28no—
1587C2×C4—28no—
1588C2×C4—28no—
1589C2×C4—28no—
1590C2×C4—28no—
1591C2×C4—28no—
1592C2×C4—28no—
1593C2×C4—28no—
1594C2×C4—28no—
1595C2×C4—28no—
1596C2×C4—28no—
1597C2×C4—28no—
1598C2×C4—28no—
1599C2×C4—28no—
1600C2×C4—28no—
1601C2×C4—28no—
1602C2×C4—28no—
1603C2×C4—4256no—
1604C2×C4—4256no—
1605C2×C4—496no—
1606C2×C4—496no—
1607C2×C4—496no—
1608C2×C4—496no—
1609C2×C4—496no—
1610C2×C4—496no—
1611C2×C4—496no—
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—44no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—496no—
1635C2×C4—44no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—44no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—848no—
1660C2×C4—848no—
1661C2×C4C22×C4×D4116yes—
1662C2×C4C22×#120116yes—
1663C2×C4C22×#123116yes—
1664C22—216no—
1665C22—216no—
1666C22—216no—
1667C22—216no—
1668C22—216no—
1669C22—216no—
1670C22—48no—
1671C22—48no—
1672C22—48no—
1673C22—48no—
1674C22—48no—
1675C22—48no—
1676C22—48no—
1677C22—48no—
1678C22—48no—
1679C22—48no—
1680C22—48no—
1681C22—48no—
1682C22—48no—
1683C22—48no—
1684C22—4384no—
1685C22—4384no—
1686C22—48no—
1687C22—48no—
1688C22—48no—
1689C22—48no—
1690C22—48no—
1691C22—48no—
1692C22—48no—
1693C22—48no—
1694C22—48no—
1695C22—48no—
1696C22#141731256yesdirect product factor
1697C22C2×C4×#120124yes—
1698C22C2×C4×#123124yes—
1699C22C2×#2325124yes—
1700C22C2×#2359124yes—
1701C22C2×#2363124yes—
1702C22C2×#2364124yes—
1703C22C2×#2367124yes—
1704C22C2×#2405124yes—
1705C22C2×#2459124yes—
1706C22C2×#2460124yes—
1707C22C2×#2466124yes—
1708C22C2×#2467124yes—
1709C22C2×#2407124yes—
1710C22C2×#2485124yes—
1711C22C2×#2600124yes—
1712C22C23×C4×D411yescharacteristic
1713C22C23×C4×D411yescharacteristic
1714C22C23×C4×D411yescharacteristic
1715C22C22×C4×#4111yescharacteristic
1716C22C22×C4×#4111yescharacteristic
1717C22C22×#51811yescharacteristic
1718C22C22×#52011yescharacteristic
1719C22C23×#12011yescharacteristic
1720C22C23×#12311yescharacteristic
1721C22C22×#52511yescharacteristic
1722C22C22×#52511yescharacteristic
1723C22C22×#52511yescharacteristic
1724C22C22×#52511yescharacteristic
1725C22C22×#52911yescharacteristic
1726C22C22×#52911yescharacteristic
1727C22C22×#53411yescharacteristic
1728C22C22×#53811yescharacteristic
1729C22C22×#53911yescharacteristic
1730C22C22×#53711yescharacteristic
1731C22C22×#54611yescharacteristic
1732C22C22×#54611yescharacteristic
1733C22C22×#54611yescharacteristic
1734C22C22×#54611yescharacteristic
1735C22C22×#54611yescharacteristic
1736C22C22×#54811yescharacteristic
1737C22C22×#54711yescharacteristic
1738C22C22×#55011yescharacteristic
1739C22C22×#55111yescharacteristic
1740C22C22×#55211yescharacteristic
1741C22C22×#55311yescharacteristic
1742C22C22×#55311yescharacteristic
1743C22C22×#55311yescharacteristic
1744C22C22×#55611yescharacteristic
1745C22C22×#55511yescharacteristic
1746C22C22×#55911yescharacteristic
1747C4—216no—
1748C4—216no—
1749C4—216no—
1750C4—48no—
1751C4—48no—
1752C4—48no—
1753C4—48no—
1754C4—48no—
1755C4—48no—
1756C4—48no—
1757C4—48no—
1758C4—84no—
1759C4—84no—
1760C2—416no—
1761C2—416no—
1762C2C2×#14173148yesdirect product factor
1763C2C22×C4×#12011yescharacteristic
1764C2C22×C4×#12311yescharacteristic
1765C2C22×#232511yescharacteristic
1766C2C22×#235911yescharacteristic
1767C2C22×#236311yescharacteristic
1768C2C22×#236411yescharacteristic
1769C2C22×#236711yescharacteristic
1770C2C22×#240511yescharacteristic
1771C2C22×#245911yescharacteristic
1772C2C22×#246011yescharacteristic
1773C2C22×#246611yescharacteristic
1774C2C22×#246711yescharacteristic
1775C2C22×#240711yescharacteristic
1776C2C22×#248511yescharacteristic
1777C2C22×#260011yescharacteristic
subgroupG/H
center, socleC26C24
commutatorC23C25×C4
Frattini, cosocleC24C26
prime radicalC25×D4C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C26 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C23×#388C2semidirect
4. C23×#387C2semidirect
5. C23×C4×C22⋊C4C2semidirect
6. C2×#14173C2direct (N × H)
7. C22×#1440C2semidirect
8. C22×#1439C2semidirect
10. C22×#1437C2semidirect
11. C22×#1436C2semidirect
12. C22×#1436C2semidirect
13. C22×#1436C2semidirect
14. C22×C22⋊#95C2semidirect
15. C22×C22⋊#95C2semidirect
16. C22×C22⋊#95C2semidirect
40. C22×#394C4semidirect
43. C22×#388C22semidirect
45. C22×#387C22semidirect
47. C22×C4×C22⋊C4C22semidirect
64. #14173C22direct (N × H)
65. C2×#1440C22semidirect
66. C2×#1439C22semidirect
68. C2×#1437C22semidirect
69. C2×#1436C22semidirect
70. C2×#1436C22semidirect
71. C2×#1436C22semidirect
72. C2×C22⋊#95C22semidirect
73. C2×C22⋊#95C22semidirect
74. C2×C22⋊#95C22semidirect
126. C23×C4⋊C4C2×C4semidirect
156. C23×C22⋊C4C2×C4semidirect
157. C23×C22⋊C4C2×C4semidirect
158. C23×C22⋊C4C2×C4semidirect
159. C23×C22⋊C4C2×C4semidirect
183. C2×#394C2×C4semidirect
186. C2×#388C23semidirect
188. C2×#387C23semidirect
190. C2×C4×C22⋊C4C23semidirect
206. C22×#95C2×C4semidirect
223. #1440C23semidirect
224. #1439C23semidirect
226. #1437C23semidirect
227. #1436C23semidirect
228. #1436C23semidirect
229. #1436C23semidirect
230. C22⋊#95C23semidirect
231. C22⋊#95C23semidirect
232. C22⋊#95C23semidirect
429. C22×C4⋊C4C22×C4semidirect
469. C22×C22⋊C4C22×C4semidirect
470. C22×C22⋊C4C22×C4semidirect
471. C22×C22⋊C4C22×C4semidirect
472. C22×C22⋊C4C22×C4semidirect
499. #394C22×C4semidirect
518. C2×#95C22×C4semidirect
904. C2×C4⋊C4C23×C4semidirect
941. C2×C22⋊C4C23×C4semidirect
942. C2×C22⋊C4C23×C4semidirect
943. C2×C22⋊C4C23×C4semidirect
944. C2×C22⋊C4C23×C4semidirect
973. #95C23×C4semidirect
1696. C22#14173direct (N × H)
1762. C2C2×#14173direct (N × H)

Maximal subgroups

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

subgroupindex
C24×C4×D42
C23×#3942
C23×#3882
C23×#3872
C23×C4×C22⋊C42
C2×#141732
C22×#14402
C22×#14392
C22×#14382
C22×#14372
C22×#14362
C22×C22⋊#952