Finite Group Databasebeta

← C2×#72265009 #72315634

Subgroups — C2×#72265009 #72315634

Order 2048.

30100 conjugacy classes of subgroups.

The subgroup lattice has 2612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#496497C211yesmaximal, characteristic, complemented
2C2×#496728C211yesmaximal, characteristic, complemented
3C2×#496366C211yesmaximal, characteristic, complemented
4C2×#7623353C211yesmaximal, characteristic
5C2×#496836C214yesmaximal, complemented
6C2×#497057C212yesmaximal, complemented
7C2×#496059C212yesmaximal, complemented
8C2×#497146C212yesmaximal, complemented
9C2×#496976C214yesmaximal, complemented
10#72265009C2132yesmaximal, direct product factor
11C2×#495837C214yesmaximal, complemented
12C2×#496124C212yesmaximal, complemented
13C2×#495725C214yesmaximal, complemented
14C2×#6373967C211yesmaximal, characteristic, complemented
15C2×#493177C211yesmaximal, characteristic, complemented
16C22×#21690C211yesmaximal, characteristic, complemented
17C2×#60673C2211yescharacteristic
18C23×#493C2211yescharacteristic
19C2×#60204—21no—
20C23×#442—21no—
21C23×#442C2212yes—
22C22×C4×#127—21no—
23#7623353C4116yescomplemented
24#7623353C22116yes—
25C2×#33783C418yescomplemented
26C2×#33774C414yescomplemented
27C2×#33771C414yescomplemented
28C2×#33717C2212yes—
29C2×#33704C2212yes—
30C2×#33582C2214yes—
31C2×#33517C2214yes—
32C22×AGL(1,ℤ/16)C2218yescomplemented
33C2×#33418C2211yescharacteristic
34C2×#33418C2211yescharacteristic
35#6373967—28no—
36#6373967C22116yescomplemented
37C2×#21734C2211yescharacteristic, complemented
38C2×#21734C2211yescharacteristic, complemented
39C2×#21706C2211yescharacteristic, complemented
40C2×#21706C2211yescharacteristic, complemented
41C2×#21690—21no—
42C2×#21690—21no—
43C2×#21690—28no—
44C2×#21690—21no—
45C2×#21690—21no—
46C2×#21690C2212yes—
47C2×#21690C2212yes—
48C2×#21690C2212yes—
49C2×#21690C2212yes—
50C2×#21690C22116yescomplemented
51C2×#21660—21no—
52C2×#21660—21no—
53C2×#21546—21no—
54C2×#21546—21no—
55C2×#21546C2212yes—
56C2×#21546C2212yes—
57C2×#21415—21no—
58C2×#21293—21no—
59C2×#21293C2212yescomplemented
60C22×#1972—21no—
61C22×#1972C2212yes—
62C22×#1957—21no—
63C2×#20826C2211yescharacteristic
64C22×#1844C2211yescharacteristic
65C2×C4×#444—21no—
66C2×C4×#444C2212yescomplemented
67C22×C4×#97C2211yescharacteristic
68#497146C22132yescomplemented
69#497057C22132yescomplemented
70#496976C22164yescomplemented
71#496836C22164yescomplemented
72#496728C22116yescomplemented
73#496497C22116yescomplemented
74#496366C22116yescomplemented
75#496124C22132yescomplemented
76#496059C22132yescomplemented
77#495837C22164yescomplemented
78#495725C22164yescomplemented
79C2×#13287C2212yescomplemented
80C2×#13257C2214yes—
81C2×#13249C2218yescomplemented
82C2×#13213C2212yes—
83C2×#13213C2212yes—
84C2×#13210C2212yescomplemented
85C2×#13183C2214yescomplemented
86C2×#13155C2218yescomplemented
87C2×#13142C2218yescomplemented
88C2×#13040C2218yescomplemented
89C2×#13037C2218yescomplemented
90C2×#13001C2214yes—
91C2×#12956C2218yescomplemented
92C2×#12929C2214yes—
93C2×#12903C2212yescomplemented
94C2×#12886C2212yescomplemented
95C2×#12816C2214yescomplemented
96C2×#12736C2214yes—
97#493177C22116yescomplemented
98C2×#12658C2212yescomplemented
99C2×#12658C2212yescomplemented
100C2×#12647C2218yescomplemented
101C2×#12605C2212yes—
102C2×#12605C2212yes—
103C2×#12594C2212yescomplemented
104C2×C4×#347C2212yescomplemented
105C24×D8—21no—
106C24×D8C2312yes—
107C2×#3444—21no—
108C23×#127—21no—
109C23×C4×D4—22no—
110C23×C4×D4—42no—
111C22×#509C2318yes—
112#60673—24no—
113#60673—24no—
114#60673C2×C418yescomplemented
115#60673C2318yes—
116C2×#3170C2×C412yescomplemented
117C2×#3169C2×C412yescomplemented
118C2×#3168—22no—
119C2×#3168C2×C414yescomplemented
120C2×#3167—22no—
121C2×#3160C2311yescharacteristic
122C2×#3147C2311yescharacteristic
123C22×#493—24no—
124C22×#493—21no—
125C22×#493—21no—
126C22×#493—24no—
127C22×#493—22no—
128C22×#493—22no—
129C22×#493C2×C414yes—
130C22×#493C2×C414yes—
131C22×#493C2×C418yes—
132C22×#493C2312yes—
133C22×#493C2312yes—
134C22×#493C2318yes—
135C2×#3131—21no—
136C2×#3050—21no—
137C2×#3050C2312yes—
138#60204—216no—
139#60204—48no—
140C2×#2966—42no—
141C2×#2966—42no—
142C2×#2965—42no—
143C2×C8×#41—42no—
144C2×#2960—21no—
145C2×#2960—21no—
146C22×#444—21no—
147C22×#444—21no—
148C22×#444C2312yes—
149C22×#444C2312yes—
150C22×#442—22no—
151C22×#442—22no—
152C22×#442—22no—
153C22×#442—22no—
154C22×#442—216no—
155C22×#442—28no—
156C22×#442—22no—
157C22×#442—22no—
158C22×#442—416no—
159C22×#442—416no—
160C22×#442C2314yes—
161C22×#442C2314yes—
162C22×#442C23116yes—
163C2×C4×#135—21no—
164C2×C4×#135C2312yes—
165C2×#2931—21no—
166C2×#2931—21no—
167C2×#2929—22no—
168C2×#2929—22no—
169C2×#2922—22no—
170C2×#2920—21no—
171C23×#106—21no—
172C23×#106C2312yes—
173C23×#102—22no—
174C23×#102—22no—
175C2×C4×#131—22no—
176C23×#97D411yescharacteristic
177C23×#97D411yescharacteristic
178C23×#97C2311yescharacteristic
179C23×#97C2311yescharacteristic
180C23×C4×C8D411yescharacteristic
181C23×C4×C8C2311yescharacteristic
182C2×C4×#127—22no—
183C2×C4×#127—22no—
184C2×C4×#127—22no—
185C2×C4×#127—22no—
186C2×C4×#127—216no—
187C2×C4×#127—48no—
188C2×C4×#127—42no—
189C2×C4×#127—42no—
190C22×#390—22no—
191C22×#390—42no—
192C22×#384—21no—
193C22×C43D411yescharacteristic
194#33783C2×C41128yescomplemented
195#33774C2×C4164yescomplemented
196#33771C2×C4164yescomplemented
197#33717C2×C4116yescomplemented
198#33717C23116yes—
199C2×#2250C2×C418yescomplemented
200C2×#2248C2×C414yescomplemented
201C2×#2246C2×C414yescomplemented
202#33704C2×C4116yescomplemented
203#33704C23116yes—
204C2×#2244C2×C418yescomplemented
205C2×#2240C2×C418yescomplemented
206#33582C2×C4132yescomplemented
207#33582C23132yes—
208C2×#2207C2×C4116yescomplemented
209C2×#2206C2×C4116yescomplemented
210#33517C2×C4132yescomplemented
211#33517C23132yes—
212C2×#2187C2×C4116yescomplemented
213C2×#2184C2×C4116yescomplemented
214C2×AGL(1,ℤ/16)—432no—
215C2×AGL(1,ℤ/16)C23164yescomplemented
216#33418—24no—
217#33418C2×C418yescomplemented
218#33418C2318yes—
219#33418C2318yes—
220C2×#2163—22no—
221C2×#2163C2×C414yescomplemented
222C2×#2162—22no—
223C2×#2162C2×C414yescomplemented
224C22×#365C2318yes—
225C2×#2150C2312yes—
226C2×#2150C2312yes—
227C22×#361C2318yes—
228C22×#361C2318yes—
229C22×#360C2318yes—
230C2×#2140C2318yes—
231C2×#2112C2312yes—
232C2×#2112C2312yes—
233C22×#347C2314yes—
234C22×#347C2314yes—
235C2×C4×M32C2312yes—
236C2×C4×M32C2312yes—
237#21734—24no—
238#21734—24no—
239#21734C2318yescomplemented
240#21734C2318yescomplemented
241#21706—24no—
242#21706—24no—
243#21706C2318yescomplemented
244#21706C2318yescomplemented
245#21690—28no—
246#21690—28no—
247#21690—28no—
248#21690—28no—
249#21690—216no—
250#21690—216no—
251#21690—216no—
252#21690—216no—
253#21690C23116yes—
254#21690C23116yes—
255#21690C23116yes—
256#21690C23116yes—
257#21660—216no—
258#21660—216no—
259#21546—216no—
260#21546—216no—
261#21546—28no—
262#21546—28no—
263#21546C23116yes—
264#21546C23116yes—
265#21415—216no—
266C2×#1994—21no—
267C2×#1994—21no—
268#21293—216no—
269#21293—28no—
270#21293C23116yescomplemented
271C2×#1975—21no—
272C2×#1975—21no—
273C2×#1975C2312yes—
274C2×#1975C2312yes—
275C2×#1972—28no—
276C2×#1972—22no—
277C2×#1972—22no—
278C2×#1972—22no—
279C2×#1972—22no—
280C2×#1972—22no—
281C2×#1972—22no—
282C2×#1972—216no—
283C2×#1972C2314yes—
284C2×#1972C2314yes—
285C2×#1972C23116yes—
286C2×#1962—21no—
287C2×#1962—21no—
288C2×#1957—22no—
289C2×#1957—22no—
290C2×#1957—22no—
291C2×#1957—22no—
292C2×#1957—216no—
293C2×#1946—21no—
294C2×#1946—21no—
295C2×#1946C2312yes—
296C2×#1946C2312yes—
297C2×#1938—22no—
298C2×#1938—22no—
299C2×#1938—22no—
300C2×#1938—22no—
301C2×#1896—22no—
302C2×#1896—22no—
303#20826—24no—
304#20826C2318yes—
305C2×#1848C2311yescharacteristic
306C2×#1848C2311yescharacteristic
307C2×#1844—24no—
308C2×#1844—21no—
309C2×#1844—21no—
310C2×#1844C2312yes—
311C2×#1844C2318yes—
312C2×#1844C2312yes—
313C2×#1837—21no—
314C2×#1810—21no—
315C2×#1810C2312yes—
316C4×#444—216no—
317C4×#444—28no—
318C4×#444C23116yescomplemented
319C2×C4×#108—21no—
320C2×C4×#108C2312yes—
321C2×#1773—21no—
322C2×#1773—21no—
323C2×#1773C2312yes—
324C2×#1773C2312yes—
325C2×#1765—22no—
326C2×#1765—22no—
327C2×#1765—22no—
328C2×#1765—22no—
329C2×C4×#104—22no—
330C2×C4×#104—22no—
331C2×C4×#97D411yescharacteristic
332C2×C4×#97D411yescharacteristic
333C2×C4×#97D418yes—
334C2×C4×#97D411yescharacteristic
335C2×C4×#97D411yescharacteristic
336C2×C4×#97C2311yescharacteristic
337C2×C4×#97C2311yescharacteristic
338C2×C4×#97C2311yescharacteristic
339C2×C4×#97C2318yes—
340C2×C4×#97C2311yescharacteristic
341#13287C23116yescomplemented
342#13257C23132yes—
343#13249C23164yescomplemented
344#13213C23116yes—
345#13213C23116yes—
346#13210C23116yescomplemented
347#13183C23132yescomplemented
348#13155C23164yescomplemented
349#13142C23164yescomplemented
350#13040C23164yescomplemented
351#13037C23164yescomplemented
352#13001C23132yes—
353#12956C23164yescomplemented
354#12929C23132yes—
355#12903C23116yescomplemented
356#12886C23116yescomplemented
357#12816C23132yescomplemented
358#12736C23132yes—
359#12658C23116yescomplemented
360#12658C23116yescomplemented
361#12647C23164yescomplemented
362#12605C23116yes—
363#12605C23116yes—
364#12594C23116yescomplemented
365C2×#1386C2318yes—
366C2×#1383C2318yes—
367C2×#1375C2314yes—
368C2×#1375C2314yes—
369C4×#347C23116yescomplemented
370C24×D4—22no—
371C24×D4—42no—
372C25×C4—42no—
373C22×#135—21no—
374C22×#135C2412yes—
375C23×D8—24no—
376C23×D8—24no—
377C23×D8—28no—
378C23×D8—28no—
379C23×D8—22no—
380C23×D8—22no—
381C23×D8—24no—
382C23×D8—22no—
383C23×D8—24no—
384C23×D8—24no—
385C23×D8—48no—
386C23×D8—48no—
387C23×D8—48no—
388C23×D8—48no—
389C23×D8C22×C418yes—
390C23×D8C22×C418yes—
391C23×D8C2414yes—
392C23×D8C2418yes—
393C22×#131—22no—
394C22×#131—22no—
395C24×C8C2×D411yescharacteristic
396C24×C8C2×D411yescharacteristic
397C24×C8C2×D411yescharacteristic
398C24×C8C2411yescharacteristic
399#3444—28no—
400#3444—28no—
401#3444—44no—
402#3444—44no—
403C2×#533—21no—
404C2×#533—22no—
405C2×#532—22no—
406C2×#532—21no—
407C22×#127—24no—
408C22×#127—24no—
409C22×#127—28no—
410C22×#127—22no—
411C22×#127—22no—
412C22×#127—28no—
413C22×#127—42no—
414C22×#127—42no—
415C22×#127—44no—
416C22×#127—42no—
417C22×#127—44no—
418C2×#529—24no—
419C2×#529—42no—
420C2×#529—42no—
421C2×#525—22no—
422C2×#525—42no—
423C2×C4×#41—22no—
424C2×C4×#41—42no—
425C22×C4×D4—216no—
426C22×C4×D4—24no—
427C22×C4×D4—24no—
428C22×C4×D4—42no—
429C22×C4×D4—42no—
430C22×C4×D4—48no—
431C22×C4×D4—44no—
432C22×C4×D4—44no—
433C22×C4×D4—44no—
434C22×C4×D4—44no—
435C22×C4×D4—432no—
436C22×C4×D4—416no—
437C22×C4×D4—416no—
438C22×C4×D4—832no—
439C23×C4⋊C4—22no—
440C23×C4⋊C4—42no—
441C23×C22⋊C4—42no—
442C23×C22⋊C4—44no—
443C23×C42—22no—
444C23×C42C2×D411yescharacteristic
445C23×C42C2×D411yescharacteristic
446C23×C42C2×D411yescharacteristic
447C2×#509—416no—
448C2×#509—416no—
449C2×#509C22×C4132yescomplemented
450C2×#509C24132yes—
451C22×SD32C22×C4116yescomplemented
452C22×D16C22×C4116yescomplemented
453C22×M32C2414yes—
454C22×M32C2414yes—
455#3170—28no—
456#3170C22×C4116yescomplemented
457#3169—28no—
458#3169C22×C4116yescomplemented
459#3168—216no—
460#3168—216no—
461#3168—216no—
462#3168C22×C4132yescomplemented
463#3167—216no—
464#3167—216no—
465#3160—22no—
466#3160—22no—
467#3160C22×C414yescomplemented
468#3160C2414yes—
469C2×#500C22×C412yescomplemented
470C2×#499—21no—
471C2×#499C22×C412yescomplemented
472C2×#498—21no—
473#3147—22no—
474#3147—22no—
475#3147C22×C414yescomplemented
476#3147C2414yes—
477C2×#495—21no—
478C2×#495C22×C412yescomplemented
479C2×#494C22×C411yescharacteristic, complemented
480C2×#493—24no—
481C2×#493—24no—
482C2×#493—28no—
483C2×#493—216no—
484C2×#493—216no—
485C2×#493—216no—
486C2×#493—216no—
487C2×#493—24no—
488C2×#493—24no—
489C2×#493—28no—
490C2×#493—28no—
491C2×#493—24no—
492C2×#493—24no—
493C2×#493—28no—
494C2×#493—22no—
495C2×#493—22no—
496C2×#493—24no—
497C2×#493—216no—
498C2×#493—216no—
499C2×#493—24no—
500C2×#493—24no—
501C2×#493C22×C418yes—
502C2×#493C22×C418yes—
503C2×#493C22×C414yes—
504C2×#493C22×C414yes—
505C2×#493C22×C418yes—
506C2×#493C22×C4132yes—
507C2×#493C22×C4132yes—
508C2×#493C22×C411yescharacteristic, complemented
509C2×#493C2418yes—
510C2×#493C2418yes—
511C2×#492—21no—
512#3131—28no—
513#3131—28no—
514C2×#488—24no—
515C2×#487—22no—
516C2×#486—22no—
517#3050—28no—
518#3050—24no—
519#3050—28no—
520#3050—24no—
521#3050C22×C418yes—
522#3050C2418yes—
523C2×#467—22no—
524C2×#467C22×C414yes—
525C2×#466—22no—
526C2×#466C22×C414yes—
527C2×#465—24no—
528C2×#465—24no—
529#2966—432no—
530#2966—432no—
531#2965—432no—
532C8×#41—432no—
533#2960—28no—
534#2960—28no—
535#2960—44no—
536#2960—44no—
537C2×#446—42no—
538C2×#446—42no—
539C2×C8×Q8—42no—
540C2×C8×Q8—42no—
541C2×#444—28no—
542C2×#444—28no—
543C2×#444—24no—
544C2×#444—24no—
545C2×#444—216no—
546C2×#444—48no—
547C2×#444—48no—
548C2×#444—48no—
549C2×#444C2418yes—
550C2×#444C2418yes—
551C2×#442—216no—
552C2×#442—28no—
553C2×#442—216no—
554C2×#442—28no—
555C2×#442—216no—
556C2×#442—216no—
557C2×#442—216no—
558C2×#442—216no—
559C2×#442—232no—
560C2×#442—416no—
561C2×#442—464no—
562C2×#442—416no—
563C2×#442—416no—
564C2×#442—464no—
565C2×#442—4128no—
566C2×#442—416no—
567C2×#442—416no—
568C2×#442—416no—
569C2×#442—416no—
570C2×#442C24116yes—
571C2×#442C24116yes—
572C4×#135—28no—
573C4×#135—24no—
574C4×#135—28no—
575C4×#135—24no—
576C4×#135C22×C418yescomplemented
577C4×#135C2418yes—
578C2×C4×Q16—22no—
579C2×C4×Q16C22×C414yescomplemented
580C2×C4×SD16—24no—
581C2×C4×SD16—24no—
582C2×C4×D8—22no—
583C2×C4×D8C22×C414yescomplemented
584#2931—28no—
585#2931—28no—
586#2931—44no—
587#2931—44no—
588#2929—216no—
589#2929—216no—
590#2929—48no—
591#2929—48no—
592C2×#436—42no—
593C2×#436—42no—
594C2×#435—44no—
595C2×#435—44no—
596C2×C8×D4—44no—
597C2×C8×D4—44no—
598C2×C8×D4—42no—
599C2×C8×D4—42no—
600#2922—216no—
601#2922—48no—
602#2920—28no—
603#2920—44no—
604C2×#433—44no—
605C2×#432—42no—
606C2×#431—44no—
607C2×#431—42no—
608C22×#108—21no—
609C22×#108—21no—
610C22×#108C2412yes—
611C22×#108C2412yes—
612C2×#427—21no—
613C2×#427C2412yes—
614C22×#106—24no—
615C22×#106—22no—
616C22×#106—28no—
617C22×#106—22no—
618C22×#106—22no—
619C22×#106—48no—
620C22×#106—48no—
621C22×#106C2414yes—
622C22×#106C2418yes—
623C2×#424—22no—
624C2×#424—22no—
625C2×#423—21no—
626C2×#423—21no—
627C22×#104—22no—
628C22×#104—22no—
629C22×#104—22no—
630C22×#104—22no—
631C2×#416—22no—
632C2×#416—22no—
633C22×#102—24no—
634C22×#102—216no—
635C22×#102—24no—
636C22×#102—24no—
637C22×#102—216no—
638C22×#102—24no—
639C22×#102—416no—
640C22×#102—416no—
641C2×#408—22no—
642C2×#408—22no—
643C2×#407—22no—
644C4×#131—216no—
645C4×#131—48no—
646C2×#405—22no—
647C2×#405—22no—
648C2×#405—42no—
649C2×#405—42no—
650C2×C4×M16—22no—
651C2×C4×M16—42no—
652C22×#97—28no—
653C22×#97—28no—
654C22×#97—44no—
655C22×#97—44no—
656C22×#97C2×D411yescharacteristic
657C22×#97C2×D414yes—
658C22×#97C2×D418yes—
659C22×#97C2×D411yescharacteristic
660C22×#97C2×D411yescharacteristic
661C22×#97C2×D411yescharacteristic
662C22×#97C2×D411yescharacteristic
663C22×#97C2×D411yescharacteristic
664C22×#97C2×D411yescharacteristic
665C22×#97C2×D414yes—
666C22×#97C2×D418yes—
667C22×#97C2×D411yescharacteristic
668C22×#97C2×D411yescharacteristic
669C22×#97C2×D411yescharacteristic
670C22×#97C2×D411yescharacteristic
671C22×#97C2×D411yescharacteristic
672C22×#97C2411yescharacteristic
673C22×#97C2411yescharacteristic
674C22×#97C2414yes—
675C22×#97C2411yescharacteristic
676C22×#97C2414yes—
677C22×#97C2411yescharacteristic
678C22×C4×C8—22no—
679C22×C4×C8—22no—
680C22×C4×C8—24no—
681C22×C4×C8—42no—
682C22×C4×C8C22×C412yes—
683C22×C4×C8C22×C414yes—
684C22×C4×C8C22×C412yes—
685C22×C4×C8C2×D411yescharacteristic
686C22×C4×C8C2×D411yescharacteristic
687C22×C4×C8C2×D418yes—
688C22×C4×C8C2×D411yescharacteristic
689C22×C4×C8C2×D411yescharacteristic
690C22×C4×C8C2×D414yes—
691C22×C4×C8C2×D411yescharacteristic
692C22×C4×C8C2×D411yescharacteristic
693C22×C4×C8#4114yes—
694C22×C4×C8#4112yes—
695C22×C4×C8#4112yes—
696C22×C4×C8C2414yes—
697C22×C4×C8C2411yescharacteristic
698C22×C4×C8C2411yescharacteristic
699C4×#127—216no—
700C4×#127—216no—
701C4×#127—216no—
702C4×#127—216no—
703C4×#127—48no—
704C4×#127—48no—
705C4×#127—48no—
706C4×#127—48no—
707C4×#127—432no—
708C4×#127—432no—
709C2×#390—24no—
710C2×#390—24no—
711C2×#390—216no—
712C2×#390—44no—
713C2×#390—48no—
714C2×#390—44no—
715C2×#390—44no—
716C2×#390—44no—
717C2×#390—44no—
718C2×#390—432no—
719C2×#384—22no—
720C2×#384—22no—
721C2×#384—28no—
722C2×#384—42no—
723C2×#384—44no—
724C2×C43—22no—
725C2×C43—24no—
726C2×C43C2×D411yescharacteristic
727C2×C43C2×D411yescharacteristic
728C2×C43C2×D418yes—
729C2×C43C2×D411yescharacteristic
730C2×C43C2×D411yescharacteristic
731#2250C22×C4164yescomplemented
732#2248C22×C4132yescomplemented
733#2246C22×C4132yescomplemented
734#2244C22×C4164yescomplemented
735#2240C22×C4164yescomplemented
736#2207C22×C41128yescomplemented
737#2206C22×C41128yescomplemented
738#2187C22×C41128yescomplemented
739#2184C22×C41128yescomplemented
740AGL(1,ℤ/16)—4128no—
741#2163—216no—
742#2163C22×C4132yescomplemented
743#2162—216no—
744#2162C22×C4132yescomplemented
745C2×#365—416no—
746C2×#365C24132yes—
747#2150—24no—
748#2150C22×C418yescomplemented
749#2150C2418yes—
750#2150C2418yes—
751C2×C4⋊C16—24no—
752C2×C4⋊C16C22×C418yescomplemented
753C2×#361—416no—
754C2×#361—416no—
755C2×#361C24132yes—
756C2×#361C24132yes—
757C2×#360—416no—
758C2×#360C24132yes—
759#2140C22×C4132yescomplemented
760#2140C24132yes—
761C2×#357C22×C4132yescomplemented
762#2112—24no—
763#2112C22×C418yes—
764#2112C2418yes—
765#2112C2418yes—
766C2×C22⋊C16—24no—
767C2×C22⋊C16C22×C418yes—
768C2×#347—216no—
769C2×#347—48no—
770C2×#347C24116yes—
771C2×#347C24116yes—
772C4×M32—24no—
773C4×M32C22×C418yescomplemented
774C4×M32C2418yes—
775C4×M32C2418yes—
776C2×#346—22no—
777C2×#346C22×C414yescomplemented
778C2×C4×C16—22no—
779C2×C4×C16C22×C414yescomplemented
780#1994—28no—
781#1994—28no—
782#1975—24no—
783#1975—24no—
784#1975—28no—
785#1975—28no—
786#1975C2418yes—
787#1975C2418yes—
788#1972—28no—
789#1972—28no—
790#1972—216no—
791#1972—216no—
792#1972—216no—
793#1972—216no—
794#1972—216no—
795#1972—216no—
796#1972C24116yes—
797#1972C24116yes—
798#1962—28no—
799#1962—28no—
800#1957—216no—
801#1957—216no—
802#1957—216no—
803#1957—216no—
804#1946—28no—
805#1946—28no—
806#1946—24no—
807#1946—24no—
808#1946C2418yes—
809#1946C2418yes—
810#1938—216no—
811#1938—216no—
812#1938—216no—
813#1938—216no—
814#1896—216no—
815#1896—216no—
816#1848—22no—
817#1848—22no—
818#1848C2414yes—
819#1848C2414yes—
820#1844—28no—
821#1844—24no—
822#1844—28no—
823#1844—24no—
824#1844C2418yes—
825#1844C2418yes—
826#1837—28no—
827#1810—24no—
828#1810—28no—
829#1810C2418yes—
830C4×#108—24no—
831C4×#108—28no—
832C4×#108C2418yes—
833#1773—28no—
834#1773—28no—
835#1773—24no—
836#1773—24no—
837#1773C2418yes—
838#1773C2418yes—
839#1765—216no—
840#1765—216no—
841#1765—216no—
842#1765—216no—
843C4×#104—216no—
844C4×#104—216no—
845C2×#341—22no—
846C2×#341—22no—
847C2×#339—22no—
848C2×#339—22no—
849C2×#339—22no—
850C2×#339—22no—
851C4×#97C2×D414yes—
852C4×#97C2×D418yes—
853C4×#97C2×D414yes—
854C4×#97C2×D418yes—
855C4×#97C2×D418yes—
856C4×#97C2×D418yes—
857C4×#97C2×D414yes—
858C4×#97C2×D414yes—
859C4×#97C2414yes—
860C4×#97C2414yes—
861C4×#97C2414yes—
862C4×#97C2414yes—
863#1386C24132yes—
864#1383C24132yes—
865#1375C24116yes—
866#1375C24116yes—
867C26—42no—
868C22×#41—22no—
869C22×#41—42no—
870C23×D4—28no—
871C23×D4—28no—
872C23×D4—28no—
873C23×D4—24no—
874C23×D4—48no—
875C23×D4—48no—
876C23×D4—48no—
877C23×D4—48no—
878C23×D4—42no—
879C23×D4—44no—
880C23×D4—44no—
881C23×D4—44no—
882C23×D4—44no—
883C23×D4—44no—
884C23×D4—416no—
885C23×D4—44no—
886C23×D4—44no—
887C23×D4—44no—
888C23×D4—416no—
889C23×D4—44no—
890C23×D4—816no—
891C23×D4—816no—
892C24×C4—21no—
893C24×C4—21no—
894C24×C4—416no—
895C24×C4—44no—
896C24×C4—44no—
897C24×C4—42no—
898C24×C4—816no—
899C24×C4—832no—
900C24×C4AGL(1,ℤ/8)12yes—
901C24×C4C22×D411yescharacteristic
902C2×#135—24no—
903C2×#135—22no—
904C2×#135—24no—
905C2×#135—22no—
906C2×#135—28no—
907C2×#135—28no—
908C2×#135—44no—
909C2×#135—44no—
910C2×#135C23×C414yes—
911C2×#135C2514yes—
912C22×Q16—21no—
913C22×Q16C23×C412yes—
914C22×SD16—22no—
915C22×SD16—22no—
916C22×D8—28no—
917C22×D8—28no—
918C22×D8—216no—
919C22×D8—216no—
920C22×D8—28no—
921C22×D8—28no—
922C22×D8—232no—
923C22×D8—232no—
924C22×D8—24no—
925C22×D8—24no—
926C22×D8—28no—
927C22×D8—21no—
928C22×D8—28no—
929C22×D8—24no—
930C22×D8—28no—
931C22×D8—28no—
932C22×D8—216no—
933C22×D8—24no—
934C22×D8—24no—
935C22×D8—216no—
936C22×D8—216no—
937C22×D8—416no—
938C22×D8—432no—
939C22×D8—432no—
940C22×D8—416no—
941C22×D8—48no—
942C22×D8—48no—
943C22×D8—416no—
944C22×D8—432no—
945C22×D8—48no—
946C22×D8—48no—
947C22×D8—416no—
948C22×D8—432no—
949C22×D8—432no—
950C22×D8—464no—
951C22×D8—432no—
952C22×D8—432no—
953C22×D8—432no—
954C22×D8—48no—
955C22×D8—48no—
956C22×D8C23×C418yes—
957C22×D8C23×C418yes—
958C22×D8C23×C412yes—
959C22×D8C23×C4132yes—
960C22×D8C2518yes—
961C2×#131—28no—
962C2×#131—28no—
963C2×#131—44no—
964C2×#131—44no—
965C2×#131—48no—
966C2×#131—48no—
967C2×#131—48no—
968C2×#131—48no—
969C22×M16—22no—
970C22×M16—22no—
971C22×M16—42no—
972C22×M16—42no—
973C23×C8—24no—
974C23×C8—24no—
975C23×C8—24no—
976C23×C8—24no—
977C23×C8—22no—
978C23×C8—22no—
979C23×C8—22no—
980C23×C8—22no—
981C23×C8—24no—
982C23×C8—24no—
983C23×C8—42no—
984C23×C8—42no—
985C23×C8—42no—
986C23×C8—42no—
987C23×C8C4×D412yes—
988C23×C8C4×D412yes—
989C23×C8C4×D414yes—
990C23×C8C23×C412yes—
991C23×C8C23×C412yes—
992C23×C8C22×D411yescharacteristic
993C23×C8C22×D411yescharacteristic
994C23×C8C22×D414yes—
995C23×C8C22×D414yes—
996C23×C8C22×D412yes—
997C23×C8C22×D414yes—
998C23×C8C22×D411yescharacteristic
999C23×C8C22×D411yescharacteristic
1000C23×C8C22×D411yescharacteristic
1001C23×C8C22×D411yescharacteristic
1002C23×C8C22×D411yescharacteristic
1003C23×C8C2×#4112yes—
1004C23×C8C2×#4112yes—
1005C23×C8C2512yes—
1006C23×C8C2511yescharacteristic
1007#533—24no—
1008#533—216no—
1009#533—24no—
1010#533—42no—
1011#533—42no—
1012#533—48no—
1013#532—216no—
1014#532—24no—
1015#532—24no—
1016#532—42no—
1017#532—42no—
1018#532—48no—
1019C2×C4⋊Q8—22no—
1020C2×C4⋊Q8—21no—
1021C2×#127—21no—
1022C2×#127—28no—
1023C2×#127—28no—
1024C2×#127—24no—
1025C2×#127—232no—
1026C2×#127—24no—
1027C2×#127—28no—
1028C2×#127—232no—
1029C2×#127—28no—
1030C2×#127—28no—
1031C2×#127—44no—
1032C2×#127—416no—
1033C2×#127—44no—
1034C2×#127—42no—
1035C2×#127—44no—
1036C2×#127—44no—
1037C2×#127—416no—
1038C2×#127—416no—
1039C2×#127—44no—
1040C2×#127—42no—
1041C2×#127—44no—
1042C2×#127—44no—
1043C2×#127—416no—
1044C2×#127—44no—
1045C2×#127—44no—
1046C2×#127—416no—
1047C2×#127—416no—
1048C2×#127—416no—
1049C2×#127—416no—
1050#529—232no—
1051#529—416no—
1052#529—416no—
1053#529—416no—
1054#529—416no—
1055#529—416no—
1056C2×#126—44no—
1057C2×#125—22no—
1058C2×#125—42no—
1059C2×#124—22no—
1060C2×#124—42no—
1061#525—28no—
1062#525—28no—
1063#525—44no—
1064#525—44no—
1065#525—416no—
1066#525—416no—
1067C2×#123—42no—
1068C2×#123—44no—
1069C2×C22⋊Q8—24no—
1070C2×C22⋊Q8—42no—
1071C2×C22⋊Q8—42no—
1072C2×#121—24no—
1073C2×#121—42no—
1074C2×#121—42no—
1075C2×#120—42no—
1076C4×#41—28no—
1077C4×#41—28no—
1078C4×#41—44no—
1079C4×#41—44no—
1080C4×#41—416no—
1081C4×#41—416no—
1082C2×C4×Q8—24no—
1083C2×C4×Q8—42no—
1084C2×C4×Q8—42no—
1085C2×C4×D4—24no—
1086C2×C4×D4—216no—
1087C2×C4×D4—216no—
1088C2×C4×D4—432no—
1089C2×C4×D4—432no—
1090C2×C4×D4—432no—
1091C2×C4×D4—432no—
1092C2×C4×D4—416no—
1093C2×C4×D4—416no—
1094C2×C4×D4—48no—
1095C2×C4×D4—48no—
1096C2×C4×D4—416no—
1097C2×C4×D4—416no—
1098C2×C4×D4—464no—
1099C2×C4×D4—464no—
1100C2×C4×D4—44no—
1101C2×C4×D4—44no—
1102C2×C4×D4—44no—
1103C2×C4×D4—416no—
1104C2×C4×D4—42no—
1105C2×C4×D4—416no—
1106C2×C4×D4—42no—
1107C2×C4×D4—816no—
1108C2×C4×D4—816no—
1109C2×C4×D4—864no—
1110C2×C4×D4—832no—
1111C2×C4×D4—832no—
1112C2×C4×D4—832no—
1113C2×C4×D4—832no—
1114C2×C4×D4—8256no—
1115C2×#117—22no—
1116C2×#117—42no—
1117C2×#117—42no—
1118C2×#117—44no—
1119C22×C4⋊C4—28no—
1120C22×C4⋊C4—24no—
1121C22×C4⋊C4—48no—
1122C22×C4⋊C4—48no—
1123C22×C4⋊C4—42no—
1124C22×C4⋊C4—44no—
1125C22×C4⋊C4—44no—
1126C22×C4⋊C4—44no—
1127C22×C4⋊C4—416no—
1128C22×C4⋊C4—816no—
1129C22×C22⋊C4—416no—
1130C22×C22⋊C4—44no—
1131C22×C22⋊C4—44no—
1132C22×C22⋊C4—432no—
1133C22×C22⋊C4—48no—
1134C22×C22⋊C4—48no—
1135C22×C22⋊C4—816no—
1136C22×C22⋊C4—832no—
1137C22×C42—21no—
1138C22×C42—22no—
1139C22×C42—24no—
1140C22×C42—24no—
1141C22×C42—22no—
1142C22×C42—22no—
1143C22×C42—22no—
1144C22×C42—22no—
1145C22×C42—216no—
1146C22×C42—21no—
1147C22×C42—22no—
1148C22×C42—42no—
1149C22×C42—42no—
1150C22×C42—416no—
1151C22×C42—42no—
1152C22×C42C4×D412yes—
1153C22×C42C4×D412yes—
1154C22×C42C4×D414yes—
1155C22×C42AGL(1,ℤ/8)12yes—
1156C22×C42AGL(1,ℤ/8)12yes—
1157C22×C42AGL(1,ℤ/8)14yes—
1158C22×C42AGL(1,ℤ/8)12yes—
1159C22×C42AGL(1,ℤ/8)14yes—
1160C22×C42C22×D411yescharacteristic
1161C22×C42C22×D411yescharacteristic
1162C22×C42C22×D414yes—
1163C22×C42C22×D411yescharacteristic
1164C22×C42C22×D411yescharacteristic
1165C22×C42C22×D414yes—
1166C22×C42C22×D411yescharacteristic
1167C22×C42C22×D411yescharacteristic
1168C22×C42C22×D414yes—
1169#509—464no—
1170#509—432no—
1171#509—432no—
1172C2×SD32—432no—
1173C2×SD32C23×C4164yescomplemented
1174C2×D16—432no—
1175C2×D16C23×C4164yescomplemented
1176C2×M32—28no—
1177C2×M32—28no—
1178C2×M32—24no—
1179C2×M32—28no—
1180C2×M32—28no—
1181C2×M32C23×C418yes—
1182C2×M32C2518yes—
1183C2×M32C2518yes—
1184C22×C16—24no—
1185C22×C16C23×C418yes—
1186#500—24no—
1187#500C23×C418yescomplemented
1188#499—24no—
1189#499—24no—
1190#499—24no—
1191#499C23×C418yescomplemented
1192#498—24no—
1193#498—24no—
1194#495—24no—
1195#495—24no—
1196#495—24no—
1197#495C23×C418yescomplemented
1198#494—22no—
1199#494C23×C414yescomplemented
1200#493—216no—
1201#493—232no—
1202#493—216no—
1203#493—232no—
1204#493—232no—
1205#493—232no—
1206#493—28no—
1207#493—28no—
1208#493—28no—
1209#493—28no—
1210#493—22no—
1211#493—28no—
1212#493—28no—
1213#493—216no—
1214#493C23×C4132yes—
1215#493C23×C4116yes—
1216#493C23×C4116yes—
1217#493C23×C414yescomplemented
1218#492—24no—
1219#492—24no—
1220#488—232no—
1221#487—216no—
1222#486—216no—
1223#467—28no—
1224#467—216no—
1225#467C23×C4116yes—
1226#466—28no—
1227#466—216no—
1228#466C23×C4116yes—
1229#465—216no—
1230#465—232no—
1231#465—216no—
1232#446—416no—
1233#446—416no—
1234C8×Q8—416no—
1235C8×Q8—416no—
1236#444—232no—
1237#444—416no—
1238#444—416no—
1239#444—432no—
1240#444—416no—
1241#444—432no—
1242#442—264no—
1243#442—432no—
1244#442—432no—
1245#442—464no—
1246#442—464no—
1247#442—464no—
1248#442—464no—
1249#442—464no—
1250#442—432no—
1251#442—464no—
1252C4×Q16—28no—
1253C4×Q16—216no—
1254C4×Q16C23×C4116yescomplemented
1255C4×SD16—216no—
1256C4×SD16—232no—
1257C4×SD16—216no—
1258C4×D8—28no—
1259C4×D8—216no—
1260C4×D8C23×C4116yescomplemented
1261#436—416no—
1262#436—416no—
1263#435—432no—
1264#435—432no—
1265C8×D4—416no—
1266C8×D4—416no—
1267C8×D4—432no—
1268C8×D4—432no—
1269#433—432no—
1270#432—416no—
1271#431—432no—
1272#431—416no—
1273C2×#108—28no—
1274C2×#108—28no—
1275C2×#108—22no—
1276C2×#108—22no—
1277C2×#108—24no—
1278C2×#108—24no—
1279C2×#108—44no—
1280C2×#108—44no—
1281C2×#108C2514yes—
1282C2×#108C2514yes—
1283#427—24no—
1284#427—22no—
1285#427—24no—
1286#427—22no—
1287#427C23×C414yes—
1288#427C2514yes—
1289C2×#107—22no—
1290C2×#107C23×C414yes—
1291C2×#106—22no—
1292C2×#106—22no—
1293C2×#106—216no—
1294C2×#106—28no—
1295C2×#106—24no—
1296C2×#106—28no—
1297C2×#106—28no—
1298C2×#106—416no—
1299C2×#106—48no—
1300C2×#106—48no—
1301C2×#106—416no—
1302C2×#106—432no—
1303C2×#106—48no—
1304C2×#106C2518yes—
1305#424—28no—
1306#424—28no—
1307#424—44no—
1308#424—44no—
1309#423—24no—
1310#423—24no—
1311#423—42no—
1312#423—42no—
1313C2×C4⋊C8—44no—
1314C2×C4⋊C8—44no—
1315C2×C4⋊C8—42no—
1316C2×C4⋊C8—42no—
1317C2×#104—28no—
1318C2×#104—28no—
1319C2×#104—28no—
1320C2×#104—28no—
1321C2×#104—48no—
1322C2×#104—48no—
1323C2×#104—48no—
1324C2×#104—48no—
1325#416—28no—
1326#416—28no—
1327#416—28no—
1328#416—28no—
1329C2×#103—24no—
1330C2×#103—24no—
1331C2×#102—24no—
1332C2×#102—24no—
1333C2×#102—216no—
1334C2×#102—216no—
1335C2×#102—216no—
1336C2×#102—216no—
1337C2×#102—416no—
1338C2×#102—416no—
1339C2×#102—464no—
1340C2×#102—464no—
1341C2×#102—416no—
1342C2×#102—416no—
1343#408—28no—
1344#408—28no—
1345#408—44no—
1346#408—44no—
1347#407—28no—
1348#407—44no—
1349C2×C22⋊C8—44no—
1350C2×C22⋊C8—44no—
1351C2×C22⋊C8—44no—
1352#405—28no—
1353#405—28no—
1354#405—416no—
1355#405—416no—
1356#405—44no—
1357#405—44no—
1358C4×M16—28no—
1359C4×M16—416no—
1360C4×M16—44no—
1361C2×#97—24no—
1362C2×#97—24no—
1363C2×#97—24no—
1364C2×#97—24no—
1365C2×#97—24no—
1366C2×#97—24no—
1367C2×#97—24no—
1368C2×#97—24no—
1369C2×#97—24no—
1370C2×#97—24no—
1371C2×#97—216no—
1372C2×#97—232no—
1373C2×#97—216no—
1374C2×#97—48no—
1375C2×#97—416no—
1376C2×#97—48no—
1377C2×#97—42no—
1378C2×#97—42no—
1379C2×#97—42no—
1380C2×#97—42no—
1381C2×#97—42no—
1382C2×#97—42no—
1383C2×#97—42no—
1384C2×#97AGL(1,ℤ/8)18yes—
1385C2×#97C22×D414yes—
1386C2×#97C22×D414yes—
1387C2×#97C22×D414yes—
1388C2×#97C22×D414yes—
1389C2×#97C22×D414yes—
1390C2×#97C22×D414yes—
1391C2×#97C22×D412yes—
1392C2×#97C22×D414yes—
1393C2×#97C22×D412yes—
1394C2×#97C22×D412yes—
1395C2×#97C22×D414yes—
1396C2×#97C22×D414yes—
1397C2×#97C22×D414yes—
1398C2×#97C22×D414yes—
1399C2×#97C22×D412yes—
1400C2×#97C22×D414yes—
1401C2×#97H(5,𝔽2)18yes—
1402C2×#97C2512yes—
1403C2×#97C2512yes—
1404C2×#97C2512yes—
1405C2×#97C2512yes—
1406C2×C4×C8—21no—
1407C2×C4×C8—21no—
1408C2×C4×C8—22no—
1409C2×C4×C8—21no—
1410C2×C4×C8—21no—
1411C2×C4×C8—22no—
1412C2×C4×C8—22no—
1413C2×C4×C8—22no—
1414C2×C4×C8—22no—
1415C2×C4×C8—22no—
1416C2×C4×C8—216no—
1417C2×C4×C8—216no—
1418C2×C4×C8—416no—
1419C2×C4×C8—42no—
1420C2×C4×C8—42no—
1421C2×C4×C8—42no—
1422C2×C4×C8C4×D412yes—
1423C2×C4×C8C4×D412yes—
1424C2×C4×C8C4×D414yes—
1425C2×C4×C8C4×D418yes—
1426C2×C4×C8C4×D418yes—
1427C2×C4×C8C4×D418yes—
1428C2×C4×C8C4×D418yes—
1429C2×C4×C8C4×D412yes—
1430C2×C4×C8C4×D412yes—
1431C2×C4×C8C4×D414yes—
1432C2×C4×C8C23×C411yescharacteristic
1433C2×C4×C8C23×C411yescharacteristic
1434C2×C4×C8C23×C412yes—
1435C2×C4×C8C23×C418yes—
1436C2×C4×C8C23×C418yes—
1437C2×C4×C8C23×C412yes—
1438C2×C4×C8C23×C412yes—
1439C2×C4×C8C22×D414yes—
1440C2×C4×C8C22×D414yes—
1441C2×C4×C8C22×D414yes—
1442C2×C4×C8C22×D414yes—
1443C2×C4×C8C22×D414yes—
1444C2×C4×C8C22×D412yes—
1445C2×C4×C8C22×D412yes—
1446C2×C4×C8C22×D414yes—
1447C2×C4×C8C2×#4111yescharacteristic
1448C2×C4×C8C2×#4111yescharacteristic
1449C2×C4×C8C2×#4112yes—
1450C2×C4×C8C2×#4118yes—
1451C2×C4×C8C2×#4118yes—
1452C2×C4×C8C2×#4112yes—
1453C2×C4×C8C2×#4112yes—
1454C2×C4×C8C2512yes—
1455C2×C4×C8C2512yes—
1456#390—216no—
1457#390—216no—
1458#390—432no—
1459#390—432no—
1460#390—432no—
1461#390—432no—
1462#390—432no—
1463#390—48no—
1464#390—48no—
1465#384—28no—
1466#384—28no—
1467#384—44no—
1468#384—416no—
1469#384—44no—
1470C43—22no—
1471C43—22no—
1472C43—216no—
1473C43—22no—
1474C43—22no—
1475C43C22×D414yes—
1476C43C22×D414yes—
1477C43C22×D414yes—
1478C43C22×D414yes—
1479#365—432no—
1480C4⋊C16—216no—
1481C4⋊C16C23×C4132yescomplemented
1482#361—432no—
1483#361—432no—
1484#360—432no—
1485#357C23×C41128yescomplemented
1486C22⋊C16—216no—
1487C22⋊C16C23×C4132yes—
1488#347—232no—
1489#347—416no—
1490#346—28no—
1491#346C23×C4116yescomplemented
1492C4×C16—28no—
1493C4×C16C23×C4116yescomplemented
1494#341—28no—
1495#341—28no—
1496#339—28no—
1497#339—28no—
1498#339—28no—
1499#339—28no—
1500C25—48no—
1501C25—48no—
1502C25—48no—
1503C25—44no—
1504C25—88no—
1505C25—816no—
1506C25—88no—
1507C25—816no—
1508C25C2×AGL(1,ℤ/8)11yescharacteristic
1509C2×#41—24no—
1510C2×#41—24no—
1511C2×#41—416no—
1512C2×#41—42no—
1513C2×#41—42no—
1514C2×#41—44no—
1515C2×#41—44no—
1516C2×#41—44no—
1517C2×#41—44no—
1518C2×#41—816no—
1519C22×Q8—22no—
1520C22×Q8—42no—
1521C22×D4—28no—
1522C22×D4—22no—
1523C22×D4—232no—
1524C22×D4—28no—
1525C22×D4—28no—
1526C22×D4—416no—
1527C22×D4—416no—
1528C22×D4—432no—
1529C22×D4—432no—
1530C22×D4—416no—
1531C22×D4—416no—
1532C22×D4—432no—
1533C22×D4—432no—
1534C22×D4—44no—
1535C22×D4—42no—
1536C22×D4—48no—
1537C22×D4—48no—
1538C22×D4—42no—
1539C22×D4—432no—
1540C22×D4—416no—
1541C22×D4—432no—
1542C22×D4—416no—
1543C22×D4—432no—
1544C22×D4—48no—
1545C22×D4—48no—
1546C22×D4—48no—
1547C22×D4—48no—
1548C22×D4—432no—
1549C22×D4—416no—
1550C22×D4—416no—
1551C22×D4—48no—
1552C22×D4—48no—
1553C22×D4—48no—
1554C22×D4—416no—
1555C22×D4—416no—
1556C22×D4—48no—
1557C22×D4—44no—
1558C22×D4—416no—
1559C22×D4—44no—
1560C22×D4—44no—
1561C22×D4—48no—
1562C22×D4—88no—
1563C22×D4—816no—
1564C22×D4—816no—
1565C22×D4—816no—
1566C22×D4—864no—
1567C22×D4—88no—
1568C22×D4—816no—
1569C22×D4—816no—
1570C22×D4—816no—
1571C22×D4—816no—
1572C22×D4—816no—
1573C22×D4—832no—
1574C22×D4—816no—
1575C22×D4—816no—
1576C22×D4—832no—
1577C22×D4—832no—
1578C22×D4—864no—
1579C22×D4—8128no—
1580C22×D4—832no—
1581C23×C4—22no—
1582C23×C4—22no—
1583C23×C4—216no—
1584C23×C4—22no—
1585C23×C4—22no—
1586C23×C4—28no—
1587C23×C4—24no—
1588C23×C4—21no—
1589C23×C4—21no—
1590C23×C4—24no—
1591C23×C4—21no—
1592C23×C4—21no—
1593C23×C4—416no—
1594C23×C4—416no—
1595C23×C4—48no—
1596C23×C4—48no—
1597C23×C4—44no—
1598C23×C4—44no—
1599C23×C4—42no—
1600C23×C4—48no—
1601C23×C4—44no—
1602C23×C4—864no—
1603C23×C4—816no—
1604C23×C4—816no—
1605C23×C4—8128no—
1606C23×C4—832no—
1607C23×C4—832no—
1608C23×C4—88no—
1609C23×C4—816no—
1610C23×C4—16128no—
1611C23×C4#44212yes—
1612C23×C4#44212yes—
1613C23×C4#44212yes—
1614C23×C4#44218yes—
1615C23×C4#44212yes—
1616C23×C4C2×C4×D412yes—
1617C23×C4C2×C4×D412yes—
1618C23×C4C2×AGL(1,ℤ/8)12yes—
1619C23×C4C2×AGL(1,ℤ/8)12yes—
1620C23×C4C2×AGL(1,ℤ/8)11yescharacteristic
1621C23×C4C2×AGL(1,ℤ/8)18yes—
1622C23×C4C2×AGL(1,ℤ/8)12yes—
1623C23×C4C2×AGL(1,ℤ/8)12yes—
1624C23×C4C2×AGL(1,ℤ/8)12yes—
1625C23×C4C23×D412yes—
1626C23×C4C23×D411yescharacteristic
1627#135—28no—
1628#135—28no—
1629#135—216no—
1630#135—44no—
1631#135—44no—
1632#135—416no—
1633#135—48no—
1634#135—48no—
1635#135—48no—
1636C2×Q16—24no—
1637C2×Q16—22no—
1638C2×Q16—28no—
1639C2×Q16—44no—
1640C2×Q16C24×C414yes—
1641C2×SD16—24no—
1642C2×SD16—28no—
1643C2×SD16—24no—
1644C2×SD16—48no—
1645C2×SD16—48no—
1646C2×D8—28no—
1647C2×D8—216no—
1648C2×D8—216no—
1649C2×D8—232no—
1650C2×D8—216no—
1651C2×D8—216no—
1652C2×D8—232no—
1653C2×D8—28no—
1654C2×D8—28no—
1655C2×D8—24no—
1656C2×D8—22no—
1657C2×D8—232no—
1658C2×D8—232no—
1659C2×D8—28no—
1660C2×D8—464no—
1661C2×D8—432no—
1662C2×D8—432no—
1663C2×D8—416no—
1664C2×D8—416no—
1665C2×D8—432no—
1666C2×D8—432no—
1667C2×D8—464no—
1668C2×D8—464no—
1669C2×D8—464no—
1670C2×D8—4128no—
1671C2×D8—4128no—
1672C2×D8—416no—
1673C2×D8—416no—
1674C2×D8—48no—
1675C2×D8—48no—
1676C2×D8—416no—
1677C2×D8—416no—
1678C2×D8—432no—
1679C2×D8—44no—
1680C2×D8—416no—
1681C2×D8—416no—
1682C2×D8—416no—
1683C2×D8—416no—
1684C2×D8C24×C4116yes—
1685C2×D8C24×C414yes—
1686#131—416no—
1687#131—416no—
1688#131—416no—
1689#131—416no—
1690#131—816no—
1691#131—816no—
1692C2×M16—24no—
1693C2×M16—24no—
1694C2×M16—48no—
1695C2×M16—48no—
1696C2×M16—42no—
1697C2×M16—42no—
1698C2×M16—44no—
1699C2×M16—44no—
1700C2×M16—44no—
1701C2×M16—44no—
1702C2×M16—88no—
1703C2×M16—88no—
1704C22×C8—22no—
1705C22×C8—22no—
1706C22×C8—22no—
1707C22×C8—21no—
1708C22×C8—21no—
1709C22×C8—21no—
1710C22×C8—21no—
1711C22×C8—22no—
1712C22×C8—22no—
1713C22×C8—22no—
1714C22×C8—24no—
1715C22×C8—24no—
1716C22×C8—28no—
1717C22×C8—28no—
1718C22×C8—24no—
1719C22×C8—24no—
1720C22×C8—28no—
1721C22×C8—28no—
1722C22×C8—216no—
1723C22×C8—28no—
1724C22×C8—28no—
1725C22×C8—28no—
1726C22×C8—28no—
1727C22×C8—22no—
1728C22×C8—22no—
1729C22×C8—21no—
1730C22×C8—21no—
1731C22×C8—21no—
1732C22×C8—21no—
1733C22×C8—28no—
1734C22×C8—28no—
1735C22×C8—22no—
1736C22×C8—22no—
1737C22×C8—28no—
1738C22×C8—28no—
1739C22×C8—44no—
1740C22×C8—44no—
1741C22×C8—48no—
1742C22×C8—48no—
1743C22×C8—48no—
1744C22×C8—48no—
1745C22×C8—48no—
1746C22×C8—48no—
1747C22×C8—42no—
1748C22×C8—42no—
1749C22×C8—88no—
1750C22×C8—88no—
1751C22×C8C2×C4×D412yes—
1752C22×C8C2×C4×D412yes—
1753C22×C8C2×C4×D418yes—
1754C22×C8C2×C4×D418yes—
1755C22×C8C2×C4×D412yes—
1756C22×C8C2×C4×D412yes—
1757C22×C8C2×C4×D414yes—
1758C22×C8C2×C4×D414yes—
1759C22×C8C2×C4×D411yescharacteristic
1760C22×C8C2×C4×D411yescharacteristic
1761C22×C8C2×C4×D412yes—
1762C22×C8#53514yes—
1763C22×C8C2×AGL(1,ℤ/8)14yes—
1764C22×C8C2×AGL(1,ℤ/8)14yes—
1765C22×C8#57514yes—
1766C22×C8C24×C414yes—
1767C22×C8C24×C411yescharacteristic
1768C22×C8C24×C411yescharacteristic
1769C22×C8C23×D412yes—
1770C22×C8C23×D412yes—
1771C22×C8C23×D412yes—
1772C22×C8C23×D412yes—
1773C22×C8C23×D412yes—
1774C22×C8C23×D412yes—
1775C22×C8C23×D411yescharacteristic
1776C22×C8C23×D412yes—
1777C22×C8C22×#4114yes—
1778C22×C8C22×#4111yescharacteristic
1779C22×C8C22×#4111yescharacteristic
1780C22×C8C2×H(5,𝔽2)14yes—
1781C22×C8#58514yes—
1782C22×C8C2611yescharacteristic
1783C4⋊Q8—28no—
1784C4⋊Q8—24no—
1785C4⋊Q8—44no—
1786C4⋊Q8—42no—
1787#127—232no—
1788#127—216no—
1789#127—216no—
1790#127—24no—
1791#127—48no—
1792#127—48no—
1793#127—432no—
1794#127—416no—
1795#127—416no—
1796#127—432no—
1797#127—48no—
1798#127—432no—
1799#127—432no—
1800#127—48no—
1801#127—42no—
1802#127—48no—
1803#127—48no—
1804#127—416no—
1805#126—432no—
1806#125—28no—
1807#125—44no—
1808#125—416no—
1809#124—28no—
1810#124—44no—
1811#124—416no—
1812#123—48no—
1813#123—432no—
1814#123—48no—
1815C22⋊Q8—216no—
1816C22⋊Q8—48no—
1817C22⋊Q8—48no—
1818C22⋊Q8—416no—
1819C22⋊Q8—48no—
1820#121—216no—
1821#121—48no—
1822#121—416no—
1823#121—48no—
1824#121—48no—
1825#120—48no—
1826#120—48no—
1827C4×Q8—216no—
1828C4×Q8—48no—
1829C4×Q8—48no—
1830C4×Q8—416no—
1831C4×Q8—48no—
1832C4×D4—216no—
1833C4×D4—432no—
1834C4×D4—432no—
1835C4×D4—416no—
1836C4×D4—416no—
1837C4×D4—432no—
1838C4×D4—416no—
1839C4×D4—416no—
1840C4×D4—432no—
1841C4×D4—48no—
1842C4×D4—416no—
1843C4×D4—48no—
1844C4×D4—48no—
1845C4×D4—432no—
1846C4×D4—864no—
1847C4×D4—864no—
1848C4×D4—832no—
1849C4×D4—832no—
1850C4×D4—8128no—
1851C4×D4—8128no—
1852C4×D4—8128no—
1853C4×D4—8128no—
1854#117—24no—
1855#117—24no—
1856#117—416no—
1857#117—42no—
1858#117—42no—
1859#117—48no—
1860#117—432no—
1861#117—48no—
1862C2×C4⋊C4—24no—
1863C2×C4⋊C4—28no—
1864C2×C4⋊C4—44no—
1865C2×C4⋊C4—42no—
1866C2×C4⋊C4—42no—
1867C2×C4⋊C4—44no—
1868C2×C4⋊C4—44no—
1869C2×C4⋊C4—416no—
1870C2×C4⋊C4—416no—
1871C2×C4⋊C4—48no—
1872C2×C4⋊C4—48no—
1873C2×C4⋊C4—48no—
1874C2×C4⋊C4—44no—
1875C2×C4⋊C4—416no—
1876C2×C4⋊C4—416no—
1877C2×C4⋊C4—88no—
1878C2×C4⋊C4—816no—
1879C2×C4⋊C4—816no—
1880C2×C4⋊C4—816no—
1881C2×C4⋊C4—864no—
1882C2×C22⋊C4—44no—
1883C2×C22⋊C4—42no—
1884C2×C22⋊C4—44no—
1885C2×C22⋊C4—44no—
1886C2×C22⋊C4—44no—
1887C2×C22⋊C4—416no—
1888C2×C22⋊C4—416no—
1889C2×C22⋊C4—432no—
1890C2×C22⋊C4—432no—
1891C2×C22⋊C4—864no—
1892C2×C22⋊C4—816no—
1893C2×C22⋊C4—816no—
1894C2×C22⋊C4—8128no—
1895C2×C22⋊C4—832no—
1896C2×C22⋊C4—832no—
1897C2×C42—28no—
1898C2×C42—216no—
1899C2×C42—22no—
1900C2×C42—24no—
1901C2×C42—21no—
1902C2×C42—21no—
1903C2×C42—22no—
1904C2×C42—28no—
1905C2×C42—28no—
1906C2×C42—22no—
1907C2×C42—22no—
1908C2×C42—22no—
1909C2×C42—22no—
1910C2×C42—28no—
1911C2×C42—28no—
1912C2×C42—28no—
1913C2×C42—28no—
1914C2×C42—24no—
1915C2×C42—21no—
1916C2×C42—21no—
1917C2×C42—44no—
1918C2×C42—44no—
1919C2×C42—48no—
1920C2×C42—48no—
1921C2×C42—48no—
1922C2×C42—48no—
1923C2×C42—464no—
1924C2×C42—44no—
1925C2×C42—48no—
1926C2×C42—44no—
1927C2×C42—42no—
1928C2×C42—48no—
1929C2×C42—48no—
1930C2×C42#44212yes—
1931C2×C42#44212yes—
1932C2×C42#44218yes—
1933C2×C42#44212yes—
1934C2×C42#44212yes—
1935C2×C42#44218yes—
1936C2×C42#44218yes—
1937C2×C42#44218yes—
1938C2×C42#44218yes—
1939C2×C42C2×C4×D412yes—
1940C2×C42C2×C4×D412yes—
1941C2×C42C2×C4×D411yescharacteristic
1942C2×C42C2×C4×D418yes—
1943C2×C42C2×C4×D411yescharacteristic
1944C2×C42C2×C4×D418yes—
1945C2×C42C2×C4×D412yes—
1946C2×C42#53514yes—
1947C2×C42C2×AGL(1,ℤ/8)14yes—
1948C2×C42C2×AGL(1,ℤ/8)12yes—
1949C2×C42C2×AGL(1,ℤ/8)18yes—
1950C2×C42C2×AGL(1,ℤ/8)12yes—
1951C2×C42C2×AGL(1,ℤ/8)11yescharacteristic
1952C2×C42C2×AGL(1,ℤ/8)12yes—
1953C2×C42C2×AGL(1,ℤ/8)12yes—
1954C2×C42C2×AGL(1,ℤ/8)18yes—
1955C2×C42C2×AGL(1,ℤ/8)18yes—
1956C2×C42C2×AGL(1,ℤ/8)12yes—
1957C2×C42C2×AGL(1,ℤ/8)11yescharacteristic
1958C2×C42C23×D412yes—
1959C2×C42C23×D412yes—
1960C2×C42C23×D412yes—
1961C2×C42C23×D412yes—
1962C2×C42C23×D412yes—
1963C2×C42C23×D412yes—
1964SD32—464no—
1965D16—464no—
1966M32—28no—
1967M32—28no—
1968M32—216no—
1969M32—28no—
1970M32—28no—
1971M32—48no—
1972C2×C16—216no—
1973C2×C16—28no—
1974C2×C16—48no—
1975C2×C16C24×C4116yes—
1976#108—28no—
1977#108—28no—
1978#108—44no—
1979#108—44no—
1980#108—48no—
1981#108—48no—
1982#107—28no—
1983#107—24no—
1984#107C24×C418yes—
1985#106—24no—
1986#106—28no—
1987#106—24no—
1988#106—216no—
1989#106—416no—
1990#106—416no—
1991#106—48no—
1992#106—416no—
1993C4⋊C8—416no—
1994C4⋊C8—416no—
1995C4⋊C8—48no—
1996C4⋊C8—48no—
1997#104—416no—
1998#104—416no—
1999#104—416no—
2000#104—416no—
2001#103—216no—
2002#103—216no—
2003#102—216no—
2004#102—216no—
2005#102—432no—
2006#102—432no—
2007#102—432no—
2008#102—432no—
2009C22⋊C8—416no—
2010C22⋊C8—416no—
2011C22⋊C8—416no—
2012#97—24no—
2013#97—24no—
2014#97—24no—
2015#97—28no—
2016#97—24no—
2017#97—24no—
2018#97—24no—
2019#97—28no—
2020#97—28no—
2021#97—28no—
2022#97—28no—
2023#97—28no—
2024#97—28no—
2025#97—44no—
2026#97—44no—
2027#97—44no—
2028#97—44no—
2029#97—48no—
2030#97—48no—
2031#97—48no—
2032#97#53518yes—
2033#97C2×AGL(1,ℤ/8)116yes—
2034#97C2×H(5,𝔽2)18yes—
2035C4×C8—24no—
2036C4×C8—24no—
2037C4×C8—24no—
2038C4×C8—24no—
2039C4×C8—28no—
2040C4×C8—28no—
2041C4×C8—48no—
2042C4×C8—48no—
2043C4×C8—48no—
2044C4×C8C2×C4×D418yes—
2045C4×C8C2×C4×D414yes—
2046C4×C8C2×C4×D418yes—
2047C4×C8C2×C4×D414yes—
2048C4×C8C2×C4×D418yes—
2049C4×C8C2×C4×D418yes—
2050C4×C8C2×C4×D412yes—
2051C4×C8C2×C4×D412yes—
2052C4×C8C2×C4×D412yes—
2053C4×C8C2×C4×D412yes—
2054C4×C8C24×C412yes—
2055C4×C8C24×C412yes—
2056C4×C8C24×C414yes—
2057C4×C8C22×#4112yes—
2058C4×C8C22×#4112yes—
2059C4×C8C22×#4114yes—
2060C24—22no—
2061C24—22no—
2062C24—28no—
2063C24—48no—
2064C24—432no—
2065C24—48no—
2066C24—42no—
2067C24—48no—
2068C24—816no—
2069C24—832no—
2070C24—816no—
2071C24—816no—
2072C24—832no—
2073C24—832no—
2074C24—832no—
2075C24—816no—
2076C24—864no—
2077C24—832no—
2078C24—88no—
2079C24—88no—
2080C24—832no—
2081C24—1632no—
2082C24—1632no—
2083C24—1664no—
2084C24C2×#44212yes—
2085C24C2×#44212yes—
2086C24C22×AGL(1,ℤ/8)12yes—
2087C24C22×AGL(1,ℤ/8)11yescharacteristic
2088#41—48no—
2089#41—44no—
2090#41—44no—
2091#41—44no—
2092#41—44no—
2093#41—48no—
2094#41—84no—
2095#41—84no—
2096#41—84no—
2097#41—84no—
2098#41—864no—
2099C2×Q8—24no—
2100C2×Q8—48no—
2101C2×Q8—42no—
2102C2×Q8—44no—
2103C2×Q8—44no—
2104C2×Q8—88no—
2105C2×D4—24no—
2106C2×D4—216no—
2107C2×D4—464no—
2108C2×D4—464no—
2109C2×D4—44no—
2110C2×D4—416no—
2111C2×D4—44no—
2112C2×D4—416no—
2113C2×D4—416no—
2114C2×D4—44no—
2115C2×D4—48no—
2116C2×D4—48no—
2117C2×D4—48no—
2118C2×D4—48no—
2119C2×D4—48no—
2120C2×D4—48no—
2121C2×D4—42no—
2122C2×D4—432no—
2123C2×D4—432no—
2124C2×D4—432no—
2125C2×D4—432no—
2126C2×D4—432no—
2127C2×D4—48no—
2128C2×D4—48no—
2129C2×D4—416no—
2130C2×D4—416no—
2131C2×D4—44no—
2132C2×D4—816no—
2133C2×D4—832no—
2134C2×D4—832no—
2135C2×D4—816no—
2136C2×D4—832no—
2137C2×D4—832no—
2138C2×D4—832no—
2139C2×D4—832no—
2140C2×D4—864no—
2141C2×D4—864no—
2142C2×D4—8128no—
2143C2×D4—832no—
2144C2×D4—832no—
2145C2×D4—832no—
2146C2×D4—832no—
2147C2×D4—864no—
2148C2×D4—8128no—
2149C2×D4—864no—
2150C2×D4—8128no—
2151C2×D4—84no—
2152C2×D4—84no—
2153C2×D4—816no—
2154C2×D4—88no—
2155C2×D4—88no—
2156C2×D4—88no—
2157C2×D4—88no—
2158C2×D4—88no—
2159C2×D4—88no—
2160C2×D4—832no—
2161C2×D4—832no—
2162C2×D4—88no—
2163C2×D4—8128no—
2164C22×C4—22no—
2165C22×C4—22no—
2166C22×C4—28no—
2167C22×C4—24no—
2168C22×C4—24no—
2169C22×C4—24no—
2170C22×C4—24no—
2171C22×C4—24no—
2172C22×C4—22no—
2173C22×C4—22no—
2174C22×C4—24no—
2175C22×C4—24no—
2176C22×C4—24no—
2177C22×C4—28no—
2178C22×C4—28no—
2179C22×C4—28no—
2180C22×C4—28no—
2181C22×C4—232no—
2182C22×C4—232no—
2183C22×C4—22no—
2184C22×C4—22no—
2185C22×C4—24no—
2186C22×C4—24no—
2187C22×C4—216no—
2188C22×C4—22no—
2189C22×C4—22no—
2190C22×C4—24no—
2191C22×C4—24no—
2192C22×C4—22no—
2193C22×C4—22no—
2194C22×C4—416no—
2195C22×C4—44no—
2196C22×C4—44no—
2197C22×C4—432no—
2198C22×C4—416no—
2199C22×C4—44no—
2200C22×C4—44no—
2201C22×C4—48no—
2202C22×C4—42no—
2203C22×C4—42no—
2204C22×C4—44no—
2205C22×C4—42no—
2206C22×C4—44no—
2207C22×C4—416no—
2208C22×C4—44no—
2209C22×C4—48no—
2210C22×C4—832no—
2211C22×C4—832no—
2212C22×C4—864no—
2213C22×C4—864no—
2214C22×C4—816no—
2215C22×C4—84no—
2216C22×C4—84no—
2217C22×C4—816no—
2218C22×C4—816no—
2219C22×C4—832no—
2220C22×C4—816no—
2221C22×C4—88no—
2222C22×C4—16256no—
2223C22×C4—1664no—
2224C22×C4—1664no—
2225C22×C4—1632no—
2226C22×C4AGL(1,ℤ/16)116yescomplemented
2227C22×C4C2×#44218yes—
2228C22×C4C2×#44214yes—
2229C22×C4C2×#44218yes—
2230C22×C4C2×#44214yes—
2231C22×C4C2×#44218yes—
2232C22×C4C2×#44214yes—
2233C22×C4C2×#44214yes—
2234C22×C4C2×#44212yes—
2235C22×C4C2×#44212yes—
2236C22×C4C2×#44212yes—
2237C22×C4C2×#44212yes—
2238C22×C4C2×#44212yes—
2239C22×C4C2×#44212yes—
2240C22×C4C2×#44218yes—
2241C22×C4C22×C4×D414yes—
2242C22×C4C22×C4×D411yescharacteristic
2243C22×C4C22×C4×D411yescharacteristic
2244C22×C4C2×#53512yes—
2245C22×C4#344912yes—
2246C22×C4C22×AGL(1,ℤ/8)14yes—
2247C22×C4C22×AGL(1,ℤ/8)12yes—
2248C22×C4C22×AGL(1,ℤ/8)14yes—
2249C22×C4C22×AGL(1,ℤ/8)14yes—
2250C22×C4C22×AGL(1,ℤ/8)11yescharacteristic
2251C22×C4C22×AGL(1,ℤ/8)12yes—
2252C22×C4C22×AGL(1,ℤ/8)11yescharacteristic
2253C22×C4C22×AGL(1,ℤ/8)11yescharacteristic
2254C22×C4C2×#57512yes—
2255C22×C4C24×D411yescharacteristic
2256Q16—28no—
2257Q16—44no—
2258Q16—48no—
2259SD16—48no—
2260SD16—48no—
2261SD16—416no—
2262D8—28no—
2263D8—232no—
2264D8—464no—
2265D8—464no—
2266D8—416no—
2267D8—416no—
2268D8—44no—
2269D8—416no—
2270D8—432no—
2271D8—432no—
2272D8—48no—
2273M16—44no—
2274M16—44no—
2275M16—44no—
2276M16—44no—
2277M16—816no—
2278M16—816no—
2279M16—84no—
2280M16—84no—
2281C2×C8—24no—
2282C2×C8—24no—
2283C2×C8—24no—
2284C2×C8—24no—
2285C2×C8—22no—
2286C2×C8—22no—
2287C2×C8—22no—
2288C2×C8—22no—
2289C2×C8—22no—
2290C2×C8—24no—
2291C2×C8—24no—
2292C2×C8—22no—
2293C2×C8—22no—
2294C2×C8—22no—
2295C2×C8—24no—
2296C2×C8—24no—
2297C2×C8—28no—
2298C2×C8—28no—
2299C2×C8—28no—
2300C2×C8—28no—
2301C2×C8—216no—
2302C2×C8—216no—
2303C2×C8—22no—
2304C2×C8—22no—
2305C2×C8—22no—
2306C2×C8—22no—
2307C2×C8—22no—
2308C2×C8—22no—
2309C2×C8—416no—
2310C2×C8—416no—
2311C2×C8—42no—
2312C2×C8—42no—
2313C2×C8—42no—
2314C2×C8—42no—
2315C2×C8—44no—
2316C2×C8—44no—
2317C2×C8—816no—
2318C2×C8—816no—
2319C2×C8—84no—
2320C2×C8—84no—
2321C2×C8C4×AGL(1,ℤ/8)14yes—
2322C2×C8C4×AGL(1,ℤ/8)14yes—
2323C2×C8C4×AGL(1,ℤ/8)18yes—
2324C2×C8C22×C4×D414yes—
2325C2×C8C22×C4×D414yes—
2326C2×C8C22×C4×D411yescharacteristic
2327C2×C8C22×C4×D411yescharacteristic
2328C2×C8C22×C4×D412yes—
2329C2×C8C22×C4×D412yes—
2330C2×C8C4×H(5,𝔽2)14yes—
2331C2×C8C4×H(5,𝔽2)14yes—
2332C2×C8C2×#53514yes—
2333C2×C8C2×#53512yes—
2334C2×C8#344912yes—
2335C2×C8#346014yes—
2336C2×C8#346014yes—
2337C2×C8C22×AGL(1,ℤ/8)14yes—
2338C2×C8C22×AGL(1,ℤ/8)14yes—
2339C2×C8C2×#57514yes—
2340C2×C8C25×C411yescharacteristic
2341C2×C8C23×#4111yescharacteristic
2342C2×C8C22×H(5,𝔽2)12yes—
2343C2×C8C2×#58512yes—
2344C4⋊C4—28no—
2345C4⋊C4—44no—
2346C4⋊C4—416no—
2347C4⋊C4—48no—
2348C4⋊C4—48no—
2349C4⋊C4—416no—
2350C4⋊C4—416no—
2351C4⋊C4—48no—
2352C4⋊C4—48no—
2353C4⋊C4—816no—
2354C4⋊C4—832no—
2355C4⋊C4—832no—
2356C4⋊C4—88no—
2357C22⋊C4—44no—
2358C22⋊C4—44no—
2359C22⋊C4—416no—
2360C22⋊C4—416no—
2361C22⋊C4—416no—
2362C22⋊C4—416no—
2363C22⋊C4—832no—
2364C22⋊C4—832no—
2365C22⋊C4—864no—
2366C22⋊C4—864no—
2367C42—216no—
2368C42—22no—
2369C42—24no—
2370C42—24no—
2371C42—22no—
2372C42—22no—
2373C42—22no—
2374C42—22no—
2375C42—22no—
2376C42—48no—
2377C42—416no—
2378C42—416no—
2379C42—416no—
2380C42—416no—
2381C42—42no—
2382C42—42no—
2383C42—44no—
2384C42—44no—
2385C42—416no—
2386C42C2×#44212yes—
2387C42C2×#44212yes—
2388C42C2×#44218yes—
2389C42C2×#44214yes—
2390C42C2×#44214yes—
2391C42C2×#44218yes—
2392C42C2×#44212yes—
2393C42C2×#44218yes—
2394C42C2×#44218yes—
2395C42C2×#44212yes—
2396C42C22×C4×D414yes—
2397C42C22×C4×D412yes—
2398C42C22×C4×D412yes—
2399C42C2×#53514yes—
2400C42C22×AGL(1,ℤ/8)14yes—
2401C42C22×AGL(1,ℤ/8)12yes—
2402C42C22×AGL(1,ℤ/8)12yes—
2403C42C22×AGL(1,ℤ/8)14yes—
2404C16—216no—
2405C16—48no—
2406C23—216no—
2407C23—216no—
2408C23—22no—
2409C23—22no—
2410C23—28no—
2411C23—24no—
2412C23—28no—
2413C23—24no—
2414C23—24no—
2415C23—24no—
2416C23—44no—
2417C23—416no—
2418C23—816no—
2419C23—864no—
2420C23—816no—
2421C23—864no—
2422C23—832no—
2423C23—88no—
2424C23—88no—
2425C23—88no—
2426C23—864no—
2427C23—832no—
2428C23—84no—
2429C23—816no—
2430C23—816no—
2431C23—1632no—
2432C23—1616no—
2433C23—1632no—
2434C23—1664no—
2435C23—16128no—
2436C23—1616no—
2437C23—1632no—
2438C23—16128no—
2439C23C2×AGL(1,ℤ/16)18yes—
2440C23C22×#44214yes—
2441C23C22×#44211yescharacteristic
2442C23C22×#44211yescharacteristic
2443C23#6079812yes—
2444C23#6096512yes—
2445C23C23×AGL(1,ℤ/8)11yescharacteristic
2446Q8—44no—
2447Q8—44no—
2448Q8—816no—
2449Q8—84no—
2450D4—416no—
2451D4—44no—
2452D4—416no—
2453D4—44no—
2454D4—864no—
2455D4—864no—
2456D4—864no—
2457D4—84no—
2458D4—84no—
2459D4—832no—
2460D4—88no—
2461D4—88no—
2462D4—88no—
2463D4—864no—
2464D4—864no—
2465D4—816no—
2466D4—816no—
2467D4—816no—
2468D4—84no—
2469C2×C4—22no—
2470C2×C4—22no—
2471C2×C4—216no—
2472C2×C4—24no—
2473C2×C4—24no—
2474C2×C4—24no—
2475C2×C4—24no—
2476C2×C4—24no—
2477C2×C4—24no—
2478C2×C4—24no—
2479C2×C4—24no—
2480C2×C4—28no—
2481C2×C4—28no—
2482C2×C4—28no—
2483C2×C4—216no—
2484C2×C4—28no—
2485C2×C4—216no—
2486C2×C4—28no—
2487C2×C4—28no—
2488C2×C4—24no—
2489C2×C4—24no—
2490C2×C4—44no—
2491C2×C4—44no—
2492C2×C4—432no—
2493C2×C4—48no—
2494C2×C4—48no—
2495C2×C4—44no—
2496C2×C4—44no—
2497C2×C4—48no—
2498C2×C4—44no—
2499C2×C4—42no—
2500C2×C4—42no—
2501C2×C4—816no—
2502C2×C4—84no—
2503C2×C4—84no—
2504C2×C4—88no—
2505C2×C4—84no—
2506C2×C4—84no—
2507C2×C4—84no—
2508C2×C4—832no—
2509C2×C4—88no—
2510C2×C4—816no—
2511C2×C4—88no—
2512C2×C4—1664no—
2513C2×C4—1664no—
2514C2×C4—1632no—
2515C2×C4—1616no—
2516C2×C4C2×AGL(1,ℤ/16)18yes—
2517C2×C4C2×AGL(1,ℤ/16)18yes—
2518C2×C4C2×AGL(1,ℤ/16)132yescomplemented
2519C2×C4C4×#53512yes—
2520C2×C4C4×#53512yes—
2521C2×C4C22×#44214yes—
2522C2×C4C22×#44214yes—
2523C2×C4C22×#44214yes—
2524C2×C4C22×#44214yes—
2525C2×C4C22×#44214yes—
2526C2×C4C22×#44211yescharacteristic
2527C2×C4C22×#44211yescharacteristic
2528C2×C4C2×C4×AGL(1,ℤ/8)12yes—
2529C2×C4C2×C4×AGL(1,ℤ/8)12yes—
2530C2×C4#6079812yes—
2531C2×C4#6080312yes—
2532C2×C4#6080312yes—
2533C2×C4#6096512yes—
2534C2×C4#6096812yes—
2535C2×C4#6096812yes—
2536C2×C4C23×C4×D411yescharacteristic
2537C2×C4C22×#53511yescharacteristic
2538C2×C4C2×#344911yescharacteristic
2539C2×C4C23×AGL(1,ℤ/8)11yescharacteristic
2540C2×C4C23×AGL(1,ℤ/8)11yescharacteristic
2541C2×C4C22×#57511yescharacteristic
2542C8—24no—
2543C8—24no—
2544C8—24no—
2545C8—24no—
2546C8—42no—
2547C8—42no—
2548C8—84no—
2549C8—84no—
2550C8C4×#53512yes—
2551C8C4×#53512yes—
2552C8C2×C4×AGL(1,ℤ/8)14yes—
2553C8C2×C4×AGL(1,ℤ/8)14yes—
2554C8C2×C4×H(5,𝔽2)12yes—
2555C8C2×#346012yes—
2556C22—28no—
2557C22—28no—
2558C22—216no—
2559C22—24no—
2560C22—24no—
2561C22—24no—
2562C22—216no—
2563C22—22no—
2564C22—24no—
2565C22—22no—
2566C22—84no—
2567C22—816no—
2568C22—88no—
2569C22—832no—
2570C22—168no—
2571C22—168no—
2572C22—1616no—
2573C22—16128no—
2574C22—1632no—
2575C22—168no—
2576C22—1632no—
2577C22#637771812yes—
2578C22#637771812yes—
2579C22C22×AGL(1,ℤ/16)18yes—
2580C22C22×AGL(1,ℤ/16)14yes—
2581C22C23×#44211yescharacteristic
2582C22C2×#6079811yescharacteristic
2583C22C2×#6096511yescharacteristic
2584C4—24no—
2585C4—24no—
2586C4—24no—
2587C4—44no—
2588C4—44no—
2589C4—82no—
2590C4—82no—
2591C4—84no—
2592C4—88no—
2593C4—168no—
2594C4#637771812yes—
2595C4#637771812yes—
2596C4C22×AGL(1,ℤ/16)18yes—
2597C4C22×AGL(1,ℤ/16)18yes—
2598C4C2×C4×#53511yescharacteristic
2599C4C22×C4×AGL(1,ℤ/8)11yescharacteristic
2600C4C2×#6080311yescharacteristic
2601C4C2×#6096811yescharacteristic
2602C2—21no—
2603C2—21no—
2604C2—28no—
2605C2—22no—
2606C2—164no—
2607C2—1616no—
2608C2C23×AGL(1,ℤ/16)12yes—
2609C2C2×#637771811yescharacteristic
2610C2#7226500914yesdirect product factor
subgroupG/H
center, socleC23C22×#442
commutatorC2×C8C25×C4
Frattini, cosocleC22×C8C26
prime radicalC2×#7623353C2
LCSG ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C42 ◁ C22×C4×#97 ◁ G
LECSG ▷ C22×C8 ▷ C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#496497C2semidirect
2. C2×#496728C2semidirect
3. C2×#496366C2semidirect
5. C2×#496836C2semidirect
6. C2×#497057C2semidirect
7. C2×#496059C2semidirect
8. C2×#497146C2semidirect
9. C2×#496976C2semidirect
10. #72265009C2direct (N × H)
11. C2×#495837C2semidirect
12. C2×#496124C2semidirect
13. C2×#495725C2semidirect
14. C2×#6373967C2semidirect
15. C2×#493177C2semidirect
16. C22×#21690C2semidirect
23. #7623353C4semidirect
25. C2×#33783C4semidirect
26. C2×#33774C4semidirect
27. C2×#33771C4semidirect
32. C22×AGL(1,ℤ/16)C22semidirect
36. #6373967C22semidirect
37. C2×#21734C22semidirect
38. C2×#21734C22semidirect
39. C2×#21706C22semidirect
40. C2×#21706C22semidirect
50. C2×#21690C22semidirect
59. C2×#21293C22semidirect
66. C2×C4×#444C22semidirect
68. #497146C22semidirect
69. #497057C22semidirect
70. #496976C22semidirect
71. #496836C22semidirect
72. #496728C22semidirect
73. #496497C22semidirect
74. #496366C22semidirect
75. #496124C22semidirect
76. #496059C22semidirect
77. #495837C22semidirect
78. #495725C22semidirect
79. C2×#13287C22semidirect
81. C2×#13249C22semidirect
84. C2×#13210C22semidirect
85. C2×#13183C22semidirect
86. C2×#13155C22semidirect
87. C2×#13142C22semidirect
88. C2×#13040C22semidirect
89. C2×#13037C22semidirect
91. C2×#12956C22semidirect
93. C2×#12903C22semidirect
94. C2×#12886C22semidirect
95. C2×#12816C22semidirect
97. #493177C22semidirect
98. C2×#12658C22semidirect
99. C2×#12658C22semidirect
100. C2×#12647C22semidirect
103. C2×#12594C22semidirect
104. C2×C4×#347C22semidirect
114. #60673C2×C4semidirect
116. C2×#3170C2×C4semidirect
117. C2×#3169C2×C4semidirect
119. C2×#3168C2×C4semidirect
194. #33783C2×C4semidirect
195. #33774C2×C4semidirect
196. #33771C2×C4semidirect
197. #33717C2×C4semidirect
199. C2×#2250C2×C4semidirect
200. C2×#2248C2×C4semidirect
201. C2×#2246C2×C4semidirect
202. #33704C2×C4semidirect
204. C2×#2244C2×C4semidirect
205. C2×#2240C2×C4semidirect
206. #33582C2×C4semidirect
208. C2×#2207C2×C4semidirect
209. C2×#2206C2×C4semidirect
210. #33517C2×C4semidirect
212. C2×#2187C2×C4semidirect
213. C2×#2184C2×C4semidirect
215. C2×AGL(1,ℤ/16)C23semidirect
217. #33418C2×C4semidirect
221. C2×#2163C2×C4semidirect
223. C2×#2162C2×C4semidirect
239. #21734C23semidirect
240. #21734C23semidirect
243. #21706C23semidirect
244. #21706C23semidirect
270. #21293C23semidirect
318. C4×#444C23semidirect
341. #13287C23semidirect
343. #13249C23semidirect
346. #13210C23semidirect
347. #13183C23semidirect
348. #13155C23semidirect
349. #13142C23semidirect
350. #13040C23semidirect
351. #13037C23semidirect
353. #12956C23semidirect
355. #12903C23semidirect
356. #12886C23semidirect
357. #12816C23semidirect
359. #12658C23semidirect
360. #12658C23semidirect
361. #12647C23semidirect
364. #12594C23semidirect
369. C4×#347C23semidirect
449. C2×#509C22×C4semidirect
451. C22×SD32C22×C4semidirect
452. C22×D16C22×C4semidirect
456. #3170C22×C4semidirect
458. #3169C22×C4semidirect
462. #3168C22×C4semidirect
467. #3160C22×C4semidirect
469. C2×#500C22×C4semidirect
471. C2×#499C22×C4semidirect
475. #3147C22×C4semidirect
478. C2×#495C22×C4semidirect
479. C2×#494C22×C4semidirect
508. C2×#493C22×C4semidirect
576. C4×#135C22×C4semidirect
579. C2×C4×Q16C22×C4semidirect
583. C2×C4×D8C22×C4semidirect
731. #2250C22×C4semidirect
732. #2248C22×C4semidirect
733. #2246C22×C4semidirect
734. #2244C22×C4semidirect
735. #2240C22×C4semidirect
736. #2207C22×C4semidirect
737. #2206C22×C4semidirect
738. #2187C22×C4semidirect
739. #2184C22×C4semidirect
742. #2163C22×C4semidirect
744. #2162C22×C4semidirect
748. #2150C22×C4semidirect
752. C2×C4⋊C16C22×C4semidirect
759. #2140C22×C4semidirect
761. C2×#357C22×C4semidirect
773. C4×M32C22×C4semidirect
777. C2×#346C22×C4semidirect
779. C2×C4×C16C22×C4semidirect
1173. C2×SD32C23×C4semidirect
1175. C2×D16C23×C4semidirect
1187. #500C23×C4semidirect
1191. #499C23×C4semidirect
1197. #495C23×C4semidirect
1199. #494C23×C4semidirect
1217. #493C23×C4semidirect
1254. C4×Q16C23×C4semidirect
1260. C4×D8C23×C4semidirect
1481. C4⋊C16C23×C4semidirect
1485. #357C23×C4semidirect
1491. #346C23×C4semidirect
1493. C4×C16C23×C4semidirect
2226. C22×C4AGL(1,ℤ/16)semidirect
2518. C2×C4C2×AGL(1,ℤ/16)semidirect
2610. C2#72265009direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#4964972
C2×#4967282
C2×#4963662
C2×#76233532
C2×#4968362
C2×#4970572
C2×#4960592
C2×#4971462
C2×#4969762
#722650092
C2×#4958372
C2×#4961242
C2×#4957252
C2×#63739672
C2×#4931772
C22×#216902