Finite Group Databasebeta

← #72270222

Subgroups — #72270222

Order 1536.

10092 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#932C211yesmaximal, characteristic, complemented
2C2×#83943C212yesmaximal, complemented
3#11661579C211yesmaximal, characteristic, complemented
4#11659117C211yesmaximal, characteristic, complemented
5#10831093C218yesmaximal, complemented
6#10831052C214yesmaximal, complemented
7#10831019C214yesmaximal, complemented
8#10823001C212yesmaximal, complemented
9#10822401C212yesmaximal, complemented
10#10799205C212yesmaximal, complemented
11#10794810C211yesmaximal, characteristic, complemented
12#10794349C211yesmaximal, characteristic, complemented
13C2×#72129C211yesmaximal, characteristic, complemented
14C2×C3×#3003C211yesmaximal, characteristic, complemented
15#6442584—31nomaximal, Sylow
16C24×C3×D4C2211yescharacteristic
17C23×#235C2211yescharacteristic
18C22×C3×AGL(1,ℤ/8)C2212yescomplemented
19C2×C3×#525C2211yescharacteristic
20C2×#5822C2212yescomplemented
21C2×#5819C2211yescharacteristic, complemented
22C23×#214C2212yescomplemented
23C22×#932—216no—
24C22×#932—24no—
25C22×#932—24no—
26C22×#932C2212yes—
27C22×#932C2212yes—
28C22×#932C2214yescomplemented
29C23×#213C2212yescomplemented
30C23×#208C2211yescharacteristic
31C3×#3003—24no—
32C3×#3003C2214yes—
33C3×#3003C2214yescomplemented
34C2×C3×#450—22no—
35C2×C3×#447—22no—
36C2×C3×#418C2212yescomplemented
37C2×C3×#407C2211yescharacteristic
38#84074C2211yescharacteristic, complemented
39C22×#833C2212yescomplemented
40C22×#833C2212yescomplemented
41C2×#5207C2211yescharacteristic
42C2×#5207C2211yescharacteristic
43#83943—216no—
44C2×#5199C2218yescomplemented
45C2×#5200C2218yescomplemented
46C2×#5132C2212yescomplemented
47C2×#5132C2212yescomplemented
48C2×#5124C2212yescomplemented
49#82933C2212yescomplemented
50#82928C2214yescomplemented
51#82927C2212yescomplemented
52#82926—24no—
53#82918—24no—
54#82917C2214yescomplemented
55#82916C2214yescomplemented
56#82735—22no—
57#82624—22no—
58D4×#208—24no—
59#82213C2212yescomplemented
60#82204C2211yescharacteristic, complemented
61#82202C2211yescharacteristic, complemented
62#72129C2214yescomplemented
63#72129C2214yescomplemented
64#72097C2218yescomplemented
65#72095C2218yescomplemented
66#71994C2212yescomplemented
67#70320C2218yescomplemented
68#70319C2218yescomplemented
69#70316C2218yescomplemented
70#70315C2218yescomplemented
71#69990C2212yescomplemented
72#69989C2214yescomplemented
73#69988C2212yescomplemented
74#69983C2214yescomplemented
75#69982C2214yescomplemented
76C23×AGL(1,ℤ/8)—31no—
77C2×#3068—32no—
78#60359—31no—
79C2×#3003D311yescharacteristic, complemented
80#60141—31no—
81#24284—38no—
82#24281—34no—
83#24278—34no—
84#23521—32no—
85#23439—32no—
86#21249—32no—
87#20667—31no—
88#20591—31no—
89C2×#1783—31no—
90C26×C3—21no—
91C22×C3×#41C2311yescharacteristic
92C23×C3×D4—21no—
93C23×C3×D4—21no—
94C23×C3×D4—21no—
95C23×C3×D4—28no—
96C23×C3×D4—22no—
97C23×C3×D4—22no—
98C23×C3×D4—22no—
99C23×C3×D4—22no—
100C23×C3×D4—44no—
101C23×C3×D4C2312yes—
102C23×C3×D4C2312yes—
103C23×C3×D4C2312yes—
104C24×C3×C4C2311yescharacteristic
105C23×#67—21no—
106C22×#235—21no—
107C22×#235—21no—
108C22×#235—22no—
109C22×#235—22no—
110C22×#235—28no—
111C22×#235—22no—
112C22×#235—22no—
113C22×#235—44no—
114C22×#235C2312yes—
115C22×#235C2312yes—
116C23×D12C2311yescharacteristic
117C23×C4×D3—21no—
118C23×Dic6C2311yescharacteristic
119C2×C3×AGL(1,ℤ/8)—24no—
120C2×C3×AGL(1,ℤ/8)—28no—
121C2×C3×AGL(1,ℤ/8)—44no—
122C2×C3×AGL(1,ℤ/8)C2318yes—
123C22×C3×SD16—22no—
124C22×C3×D8—22no—
125C22×C3×M16C2312yes—
126C3×#525—22no—
127C3×#525—21no—
128C3×#525—21no—
129C3×#525D414yes—
130C3×#525C2312yes—
131C3×#525C2312yes—
132C2×C3×#123—21no—
133C2×C3×C22⋊Q8D412yes—
134C2×C3×#121D412yes—
135C2×C3×#120—21no—
136C2×C3×C4×D4—22no—
137C2×C3×#117C2311yescharacteristic
138C2×#951C2314yescomplemented
139#5822—28no—
140#5822—44no—
141C2×#950—24no—
142C2×#949C2314yescomplemented
143#5819—28no—
144C2×#948—22no—
145C2×#948C2314yescomplemented
146C2×#942—22no—
147C22×#214—216no—
148C22×#214—28no—
149C22×#214C2314yes—
150C22×#214C2314yes—
151C2×#932—264no—
152C2×#932—264no—
153C2×#932—28no—
154C2×#932—28no—
155C2×#932—216no—
156C2×#932—22no—
157C2×#932—216no—
158C2×#932—24no—
159C2×#932—24no—
160C2×#932—28no—
161C2×#932—24no—
162C2×#932—24no—
163C2×#932—216no—
164C2×#932D4116yescomplemented
165C22×#213—216no—
166C22×#213—28no—
167C22×#213C2314yes—
168C22×#213C2314yes—
169C22×#208—28no—
170C22×#208—22no—
171C22×#208D414yes—
172C22×#208D414yes—
173C22×#208C2311yescharacteristic
174C22×#208C2311yescharacteristic
175C22×#208C2312yes—
176C22×#208C2311yescharacteristic
177C22×#208C2312yes—
178C22×#208C2311yescharacteristic
179C23×C3⋊C8C2312yes—
180C3×#450—28no—
181C3×#450—28no—
182C3×#447—28no—
183C3×#447—28no—
184C3×#418—24no—
185C3×#418C2318yes—
186C2×C3×#102—24no—
187C3×#407—22no—
188C3×#407C2312yes—
189C3×#407C2312yes—
190C2×C3×C22⋊C8—22no—
191#5234—22no—
192#5234C2314yescomplemented
193C2×#833—28no—
194C2×#833—44no—
195C2×#833C2318yes—
196C2×#833C2318yes—
197#5207—22no—
198#5207—22no—
199#5207—22no—
200#5207C2312yes—
201#5207C2312yes—
202#5207C2312yes—
203#5207C2312yes—
204C2×#830—22no—
205C2×#830—22no—
206#5200—232no—
207#5199—232no—
208C2×#824C2314yescomplemented
209C2×#824C2314yescomplemented
210#5132—28no—
211#5132—44no—
212C2×#823C2314yescomplemented
213C2×#823C2314yescomplemented
214#5124—28no—
215C2×#822C2318yescomplemented
216#5050—24no—
217#5047—28no—
218#5046—24no—
219#5040—24no—
220#5037—28no—
221#5036—24no—
222#5012—28no—
223#5011—28no—
224#5011—28no—
225D4×C3⋊C8—28no—
226#5004C2314yescomplemented
227#5002—24no—
228#5001C2314yescomplemented
229#4999—22no—
230#4999C2314yescomplemented
231#4997—22no—
232#4997C2314yescomplemented
233#4966—24no—
234#4924—22no—
235C4×#208—22no—
236#4558C2318yescomplemented
237C23×#41—31no—
238C24×D4C2×D311yescharacteristic
239C2×#575—32no—
240C22×AGL(1,ℤ/8)—32no—
241C22×AGL(1,ℤ/8)—32no—
242C22×AGL(1,ℤ/8)—34no—
243C22×AGL(1,ℤ/8)—64no—
244C22×AGL(1,ℤ/8)—64no—
245C22×AGL(1,ℤ/8)—616no—
246C22×AGL(1,ℤ/8)C2×D312yescomplemented
247C23×SD16—32no—
248C23×D8—32no—
249C2×#568—31no—
250C23×M16—31no—
251C2×#525C2×D311yescharacteristic
252#3068—616no—
253C2×#472—38no—
254C2×#471—38no—
255#3007—62no—
256#3006—62no—
257#3005—34no—
258#3004—32no—
259#3003—24no—
260#3003—32no—
261#3003C2×D314yes—
262#3003C2×D314yescomplemented
263#3002—64no—
264C2×#450—22no—
265C2×#447—22no—
266D4×M16—64no—
267#2933—64no—
268#2930—34no—
269#2929—34no—
270C2×#430—32no—
271#2905—31no—
272#2896—32no—
273C2×#418C2×D312yescomplemented
274C2×#413—32no—
275C2×#413—32no—
276C22×#100—32no—
277C22×#100—32no—
278#2879—31no—
279C2×#407—31no—
280C2×#407—31no—
281C2×#407C2×D311yescharacteristic
282#2873—31no—
283#2046—38no—
284#2045—38no—
285#2019—38no—
286#2018—38no—
287#1978—38no—
288#1977—38no—
289#1811—34no—
290#1810—34no—
291#1785—34no—
292#1784—32no—
293#1783—32no—
294#1783—34no—
295#1783—34no—
296#1738—32no—
297C25×C3—22no—
298C25×C3—22no—
299C25×C3—22no—
300C25×C3—48no—
301C25×C3—42no—
302C25×C3—42no—
303C25×C3—88no—
304C25×C3#4111yescharacteristic
305C24×D3—21no—
306C2×C3×#41—21no—
307C2×C3×#41—21no—
308C2×C3×#41—24no—
309C2×C3×#41—24no—
310C2×C3×#41C2×D412yes—
311C2×C3×#41C2412yes—
312C22×C3×Q8C2×D411yescharacteristic
313C22×C3×D4—216no—
314C22×C3×D4—216no—
315C22×C3×D4—28no—
316C22×C3×D4—28no—
317C22×C3×D4—21no—
318C22×C3×D4—22no—
319C22×C3×D4—22no—
320C22×C3×D4—22no—
321C22×C3×D4—24no—
322C22×C3×D4—24no—
323C22×C3×D4—22no—
324C22×C3×D4—22no—
325C22×C3×D4—24no—
326C22×C3×D4—24no—
327C22×C3×D4—24no—
328C22×C3×D4—22no—
329C22×C3×D4—22no—
330C22×C3×D4—22no—
331C22×C3×D4—24no—
332C22×C3×D4—24no—
333C22×C3×D4—44no—
334C22×C3×D4—44no—
335C22×C3×D4—416no—
336C22×C3×D4—416no—
337C22×C3×D4—48no—
338C22×C3×D4—48no—
339C22×C3×D4—48no—
340C22×C3×D4—48no—
341C22×C3×D4—48no—
342C22×C3×D4—42no—
343C22×C3×D4—42no—
344C22×C3×D4—42no—
345C22×C3×D4—42no—
346C22×C3×D4—42no—
347C22×C3×D4—42no—
348C22×C3×D4C2×D418yes—
349C22×C3×D4C2×D411yescharacteristic
350C22×C3×D4C2414yes—
351C23×C3×C4—24no—
352C23×C3×C4—24no—
353C23×C3×C4—21no—
354C23×C3×C4C2×D412yes—
355C23×C3×C4C2×D412yes—
356C23×C3×C4C2×D412yes—
357C23×C3×C4C2×D412yes—
358C23×C3×C4#4111yescharacteristic
359C23×C3×C4#4111yescharacteristic
360C23×C3×C4#4111yescharacteristic
361C23×C3×C4C2411yescharacteristic
362C23×C3×C4C2411yescharacteristic
363C23×C3×C4C2411yescharacteristic
364C22×#67—22no—
365C22×#67—22no—
366C22×#67—48no—
367C22×#67—42no—
368C22×#67—42no—
369C23×Dic3—21no—
370C2×#235—24no—
371C2×#235—216no—
372C2×#235—216no—
373C2×#235—22no—
374C2×#235—22no—
375C2×#235—24no—
376C2×#235—22no—
377C2×#235—22no—
378C2×#235—24no—
379C2×#235—24no—
380C2×#235—24no—
381C2×#235—24no—
382C2×#235—24no—
383C2×#235—42no—
384C2×#235—42no—
385C2×#235—48no—
386C2×#235—416no—
387C2×#235—416no—
388C2×#235—48no—
389C2×#235—48no—
390C2×#235—48no—
391C2×#235—42no—
392C2×#235—42no—
393C2×#235—42no—
394C2×#235—42no—
395C2×#235C2×D418yes—
396C22×D12—22no—
397C22×D12—24no—
398C22×D12—22no—
399C22×D12—21no—
400C22×D12—42no—
401C22×D12C2412yes—
402C22×C4×D3—22no—
403C22×C4×D3—22no—
404C22×C4×D3—48no—
405C22×C4×D3—42no—
406C22×C4×D3—42no—
407C22×Dic6—22no—
408C22×Dic6—24no—
409C22×Dic6—22no—
410C22×Dic6—21no—
411C22×Dic6—42no—
412C22×Dic6C2412yes—
413C3×AGL(1,ℤ/8)—216no—
414C3×AGL(1,ℤ/8)—48no—
415C3×AGL(1,ℤ/8)—416no—
416C2×C3×SD16—28no—
417C2×C3×SD16—48no—
418C2×C3×D8—28no—
419C2×C3×D8—48no—
420C2×C3×M16—22no—
421C2×C3×M16—24no—
422C2×C3×M16—24no—
423C2×C3×M16C2414yes—
424C22×C3×C8—22no—
425C3×#123—24no—
426C3×#123—22no—
427C3×#123—22no—
428C3×C22⋊Q8—22no—
429C3×C22⋊Q8—22no—
430C3×C22⋊Q8C2×D414yes—
431C3×C22⋊Q8C2×D414yes—
432C3×#121—22no—
433C3×#121—22no—
434C3×#121C2×D414yes—
435C3×#121C2×D414yes—
436C3×#120—24no—
437C3×#120—22no—
438C3×#120—22no—
439C3×C4×D4—24no—
440C3×C4×D4—24no—
441C3×C4×D4—24no—
442C3×C4×D4—24no—
443C3×#117—21no—
444C3×#117—21no—
445C3×#117C2×D412yes—
446C3×#117C2412yes—
447C2×C3×C4⋊C4—22no—
448C2×C3×C4⋊C4C2×D412yes—
449C2×C3×C22⋊C4—22no—
450C2×C3×C22⋊C4—21no—
451C2×C3×C22⋊C4—22no—
452C2×C3×C42—21no—
453#951—28no—
454#951—44no—
455#950—416no—
456#949—28no—
457#949—44no—
458#948—216no—
459#948—48no—
460C2×#216—24no—
461#942—48no—
462C2×#215—24no—
463C2×#214—264no—
464C2×#214—28no—
465C2×#214—28no—
466C2×#214—24no—
467C2×#214—28no—
468C2×#214—28no—
469C2×#214—28no—
470C2×#214C2×D4116yescomplemented
471#932—232no—
472#932—232no—
473#932—2128no—
474#932—232no—
475#932—232no—
476#932—48no—
477C2×#213—264no—
478C2×#213—28no—
479C2×#213—28no—
480C2×#213—24no—
481C2×#213—28no—
482C2×#213—28no—
483C2×#213—28no—
484C2×#213C2×D4116yescomplemented
485C2×#208—24no—
486C2×#208—216no—
487C2×#208—216no—
488C2×#208—21no—
489C2×#208—21no—
490C2×#208—22no—
491C2×#208—28no—
492C2×#208—24no—
493C2×#208—24no—
494C2×#208—24no—
495C2×#208—24no—
496C2×#208—24no—
497C2×#208—48no—
498C2×#208C2×D412yes—
499C2×#208C2×D412yes—
500C2×#208C2×D418yes—
501C2×#208C2×D418yes—
502C2×#208C2×D412yes—
503C2×#208C2×D412yes—
504C2×#208C2414yes—
505C2×#208C2412yes—
506C2×#208C2412yes—
507C22×C3⋊C8—28no—
508C22×C3⋊C8—21no—
509C22×C3⋊C8—21no—
510C22×C3⋊C8—22no—
511C22×C3⋊C8—24no—
512C22×C3⋊C8C2×D418yes—
513C22×C3⋊C8C2412yes—
514C22×C3⋊C8C2412yes—
515C3×#102—216no—
516C3×C22⋊C8—24no—
517C3×C22⋊C8—24no—
518#833—216no—
519#833—48no—
520#830—24no—
521#830—24no—
522#830—24no—
523#830—24no—
524#830—28no—
525#824—28no—
526#824—44no—
527#823—28no—
528#823—44no—
529#822—216no—
530#810—28no—
531#809—28no—
532C4⋊(C3⋊C8)—28no—
533#803—24no—
534C4×C3⋊C8—24no—
535C26—21no—
536C22×#41—32no—
537C22×#41—32no—
538C22×#41—68no—
539C22×#41—61no—
540C22×#41—61no—
541C22×#41—62no—
542C22×#41—62no—
543C22×#41—62no—
544C22×#41—62no—
545C22×#41—124no—
546C22×#41C22×D311yescharacteristic
547C23×Q8—31no—
548C23×D4—28no—
549C23×D4—22no—
550C23×D4—22no—
551C23×D4—21no—
552C23×D4—21no—
553C23×D4—21no—
554C23×D4—22no—
555C23×D4—22no—
556C23×D4—31no—
557C23×D4—44no—
558C23×D4—61no—
559C23×D4C22×D312yes—
560C23×D4C22×D312yes—
561C23×D4C22×D312yes—
562C24×C4—61no—
563C24×C4C22×D311yescharacteristic
564#575—68no—
565#575—124no—
566C2×#137—34no—
567C2×#137—62no—
568C2×AGL(1,ℤ/8)—24no—
569C2×AGL(1,ℤ/8)—28no—
570C2×AGL(1,ℤ/8)—316no—
571C2×AGL(1,ℤ/8)—34no—
572C2×AGL(1,ℤ/8)—44no—
573C2×AGL(1,ℤ/8)—64no—
574C2×AGL(1,ℤ/8)—64no—
575C2×AGL(1,ℤ/8)—68no—
576C2×AGL(1,ℤ/8)—64no—
577C2×AGL(1,ℤ/8)—64no—
578C2×AGL(1,ℤ/8)—616no—
579C2×AGL(1,ℤ/8)—616no—
580C2×AGL(1,ℤ/8)—616no—
581C2×AGL(1,ℤ/8)—68no—
582C2×AGL(1,ℤ/8)—664no—
583C2×AGL(1,ℤ/8)—664no—
584C2×AGL(1,ℤ/8)—68no—
585C2×AGL(1,ℤ/8)—62no—
586C2×AGL(1,ℤ/8)C22×D318yes—
587C2×#135—64no—
588C22×SD16—22no—
589C22×SD16—34no—
590C22×SD16—34no—
591C22×SD16—68no—
592C22×SD16—616no—
593C22×D8—22no—
594C22×D8—34no—
595C22×D8—34no—
596C22×D8—68no—
597C22×D8—616no—
598#568—68no—
599C2×#131—34no—
600C2×#131—62no—
601C22×M16—31no—
602C22×M16—34no—
603C22×M16—34no—
604C22×M16—32no—
605C22×M16—31no—
606C22×M16—31no—
607C22×M16—31no—
608C22×M16—32no—
609C22×M16—68no—
610C22×M16—62no—
611C22×M16C22×D312yes—
612C23×C8—32no—
613#525—22no—
614#525—21no—
615#525—21no—
616#525#6714yes—
617#525C22×D312yes—
618#525C22×D312yes—
619C2×#123—21no—
620C2×C22⋊Q8#6712yes—
621C2×#121#6712yes—
622C2×#120—21no—
623C2×C4×D4—22no—
624C2×#117C22×D311yescharacteristic
625#472—632no—
626#471—632no—
627#452—68no—
628#451—64no—
629#450—28no—
630#450—28no—
631#450—64no—
632#449—68no—
633#448—64no—
634#447—28no—
635#447—28no—
636#447—64no—
637#436—68no—
638#435—68no—
639#435—68no—
640C8×D4—68no—
641#430—68no—
642C2×#108—38no—
643#424—34no—
644#424—62no—
645#423—62no—
646#419—34no—
647#418—24no—
648#418—34no—
649#418C22×D318yes—
650#417—64no—
651#416—64no—
652C2×#102—24no—
653#413—68no—
654#413—124no—
655C2×#101—34no—
656C2×#101—34no—
657C2×#100—38no—
658C2×#100—34no—
659C2×#100—38no—
660C2×#100—34no—
661C2×#100—68no—
662C2×#100—124no—
663#408—34no—
664#408—62no—
665#407—22no—
666#407—32no—
667#407—32no—
668#407—32no—
669#407—32no—
670#407—62no—
671#407—62no—
672#407—62no—
673#407C22×D312yes—
674#407C22×D312yes—
675C2×C22⋊C8—22no—
676C2×C22⋊C8—62no—
677C2×C22⋊C8—62no—
678#405—34no—
679#405—62no—
680C4×M16—62no—
681#341—38no—
682C24×C3—24no—
683C24×C3—21no—
684C24×C3—28no—
685C24×C3—24no—
686C24×C3—44no—
687C24×C3—48no—
688C24×C3—48no—
689C24×C3—416no—
690C24×C3—416no—
691C24×C3—44no—
692C24×C3—44no—
693C24×C3—42no—
694C24×C3—42no—
695C24×C3—44no—
696C24×C3—88no—
697C24×C3—88no—
698C24×C3—88no—
699C24×C3—88no—
700C24×C3—88no—
701C24×C3—88no—
702C24×C3—88no—
703C24×C3—864no—
704C24×C3#12112yes—
705C24×C3#12112yes—
706C24×C3C2×#4111yescharacteristic
707C24×C3C2×#4111yescharacteristic
708C24×C3C2×#4111yescharacteristic
709C23×D3—22no—
710C23×D3—44no—
711C23×D3—42no—
712C23×D3—84no—
713C3×#41—28no—
714C3×#41—24no—
715C3×#41—24no—
716C3×#41—42no—
717C3×#41—42no—
718C3×#41—44no—
719C2×C3×Q8—21no—
720C2×C3×Q8—24no—
721C2×C3×Q8C22×D412yes—
722C2×C3×D4—216no—
723C2×C3×D4—216no—
724C2×C3×D4—24no—
725C2×C3×D4—22no—
726C2×C3×D4—22no—
727C2×C3×D4—24no—
728C2×C3×D4—28no—
729C2×C3×D4—28no—
730C2×C3×D4—21no—
731C2×C3×D4—24no—
732C2×C3×D4—28no—
733C2×C3×D4—28no—
734C2×C3×D4—28no—
735C2×C3×D4—24no—
736C2×C3×D4—24no—
737C2×C3×D4—24no—
738C2×C3×D4—24no—
739C2×C3×D4—24no—
740C2×C3×D4—416no—
741C2×C3×D4—416no—
742C2×C3×D4—48no—
743C2×C3×D4—48no—
744C2×C3×D4—416no—
745C2×C3×D4—416no—
746C2×C3×D4—416no—
747C2×C3×D4—416no—
748C2×C3×D4—416no—
749C2×C3×D4—416no—
750C2×C3×D4—48no—
751C2×C3×D4—48no—
752C2×C3×D4—44no—
753C2×C3×D4—44no—
754C2×C3×D4—44no—
755C2×C3×D4—42no—
756C2×C3×D4—42no—
757C2×C3×D4—44no—
758C2×C3×D4—44no—
759C2×C3×D4—44no—
760C2×C3×D4—44no—
761C2×C3×D4—44no—
762C2×C3×D4—84no—
763C2×C3×D4C22×D418yes—
764C2×C3×D4C22×D412yes—
765C22×C3×C4—24no—
766C22×C3×C4—24no—
767C22×C3×C4—24no—
768C22×C3×C4—24no—
769C22×C3×C4—24no—
770C22×C3×C4—28no—
771C22×C3×C4—28no—
772C22×C3×C4—24no—
773C22×C3×C4—24no—
774C22×C3×C4—22no—
775C22×C3×C4—22no—
776C22×C3×C4—22no—
777C22×C3×C4—22no—
778C22×C3×C4—21no—
779C22×C3×C4—22no—
780C22×C3×C4—22no—
781C22×C3×C4—22no—
782C22×C3×C4—42no—
783C22×C3×C4—42no—
784C22×C3×C4#12112yes—
785C22×C3×C4#12112yes—
786C22×C3×C4#12112yes—
787C22×C3×C4#12112yes—
788C22×C3×C4#12112yes—
789C22×C3×C4#12112yes—
790C22×C3×C4C22×D412yes—
791C22×C3×C4C22×D412yes—
792C22×C3×C4C22×D411yescharacteristic
793C22×C3×C4C22×D411yescharacteristic
794C22×C3×C4C22×D414yes—
795C22×C3×C4C22×D412yes—
796C22×C3×C4C22×D412yes—
797C22×C3×C4C22×D411yescharacteristic
798C22×C3×C4C22×D411yescharacteristic
799C22×C3×C4C2×#4111yescharacteristic
800C22×C3×C4C2×#4111yescharacteristic
801C22×C3×C4C2×#4111yescharacteristic
802C22×C3×C4H(5,𝔽2)14yes—
803C22×C3×C4C2511yescharacteristic
804C2×#67—28no—
805C2×#67—44no—
806C2×#67—44no—
807C2×#67—416no—
808C2×#67—416no—
809C2×#67—44no—
810C2×#67—42no—
811C2×#67—42no—
812C2×#67—44no—
813C22×Dic3—22no—
814C22×Dic3—44no—
815C22×Dic3—42no—
816#235—216no—
817#235—28no—
818#235—28no—
819#235—28no—
820#235—28no—
821#235—48no—
822#235—48no—
823#235—416no—
824#235—416no—
825#235—416no—
826#235—416no—
827#235—48no—
828#235—44no—
829#235—44no—
830#235—44no—
831#235—44no—
832C2×D12—28no—
833C2×D12—22no—
834C2×D12—22no—
835C2×D12—22no—
836C2×D12—22no—
837C2×D12—22no—
838C2×D12—48no—
839C2×D12—44no—
840C2×D12—44no—
841C2×D12—42no—
842C2×D12C22×D414yes—
843C2×C4×D3—28no—
844C2×C4×D3—44no—
845C2×C4×D3—44no—
846C2×C4×D3—416no—
847C2×C4×D3—416no—
848C2×C4×D3—44no—
849C2×C4×D3—42no—
850C2×C4×D3—42no—
851C2×C4×D3—44no—
852C2×Dic6—28no—
853C2×Dic6—22no—
854C2×Dic6—22no—
855C2×Dic6—22no—
856C2×Dic6—22no—
857C2×Dic6—22no—
858C2×Dic6—48no—
859C2×Dic6—44no—
860C2×Dic6—44no—
861C2×Dic6—42no—
862C2×Dic6C22×D414yes—
863C3×SD16—416no—
864C3×D8—416no—
865C3×M16—24no—
866C3×M16—24no—
867C3×M16—44no—
868C2×C3×C8—24no—
869C2×C3×C8—44no—
870C3×C4⋊C4—24no—
871C3×C4⋊C4—24no—
872C3×C4⋊C4—22no—
873C3×C4⋊C4C22×D414yes—
874C3×C22⋊C4—22no—
875C3×C22⋊C4—24no—
876C3×C22⋊C4—24no—
877C3×C22⋊C4—22no—
878C3×C22⋊C4—24no—
879C3×C22⋊C4—24no—
880C3×C42—22no—
881C3×C42—22no—
882#216—48no—
883#215—48no—
884#214—232no—
885#214—232no—
886#214—48no—
887#213—232no—
888#213—232no—
889#213—48no—
890#208—24no—
891#208—24no—
892#208—216no—
893#208—24no—
894#208—24no—
895#208—24no—
896#208—24no—
897#208—42no—
898#208—42no—
899#208—44no—
900#208—48no—
901#208#12018yes—
902#208#12018yes—
903C2×C3⋊C8—24no—
904C2×C3⋊C8—216no—
905C2×C3⋊C8—22no—
906C2×C3⋊C8—22no—
907C2×C3⋊C8—24no—
908C2×C3⋊C8—42no—
909C2×C3⋊C8—42no—
910C2×C3⋊C8—44no—
911C2×C3⋊C8—48no—
912C2×C3⋊C8C22×D414yes—
913C2×C3⋊C8C22×D414yes—
914C2×C3⋊C8C22×D418yes—
915C25—22no—
916C25—22no—
917C25—22no—
918C25—48no—
919C25—42no—
920C25—42no—
921C25—61no—
922C25—88no—
923C25#23711yescharacteristic
924C2×#41—21no—
925C2×#41—21no—
926C2×#41—24no—
927C2×#41—24no—
928C2×#41—38no—
929C2×#41—64no—
930C2×#41—64no—
931C2×#41—616no—
932C2×#41—616no—
933C2×#41—64no—
934C2×#41—64no—
935C2×#41—62no—
936C2×#41—62no—
937C2×#41—64no—
938C2×#41—64no—
939C2×#41—62no—
940C2×#41—62no—
941C2×#41—64no—
942C2×#41—128no—
943C2×#41—122no—
944C2×#41—122no—
945C2×#41—128no—
946C2×#41—1216no—
947C2×#41—1216no—
948C2×#41—128no—
949C2×#41—128no—
950C2×#41—122no—
951C2×#41—122no—
952C2×#41—122no—
953C2×#41—122no—
954C2×#41C2×#6712yes—
955C2×#41C23×D312yes—
956C22×Q8—32no—
957C22×Q8—64no—
958C22×Q8—61no—
959C22×Q8—62no—
960C22×Q8—62no—
961C22×Q8—122no—
962C22×Q8C2×#6711yescharacteristic
963C22×D4—216no—
964C22×D4—216no—
965C22×D4—28no—
966C22×D4—28no—
967C22×D4—21no—
968C22×D4—22no—
969C22×D4—24no—
970C22×D4—24no—
971C22×D4—24no—
972C22×D4—22no—
973C22×D4—22no—
974C22×D4—22no—
975C22×D4—22no—
976C22×D4—22no—
977C22×D4—24no—
978C22×D4—24no—
979C22×D4—22no—
980C22×D4—22no—
981C22×D4—24no—
982C22×D4—24no—
983C22×D4—32no—
984C22×D4—44no—
985C22×D4—44no—
986C22×D4—416no—
987C22×D4—416no—
988C22×D4—48no—
989C22×D4—48no—
990C22×D4—48no—
991C22×D4—48no—
992C22×D4—48no—
993C22×D4—42no—
994C22×D4—42no—
995C22×D4—42no—
996C22×D4—42no—
997C22×D4—42no—
998C22×D4—42no—
999C22×D4—64no—
1000C22×D4—62no—
1001C22×D4—62no—
1002C22×D4—62no—
1003C22×D4—61no—
1004C22×D4—62no—
1005C22×D4—122no—
1006C22×D4—128no—
1007C22×D4—122no—
1008C22×D4—122no—
1009C22×D4D3×D418yes—
1010C22×D4C2×#6711yescharacteristic
1011C22×D4C23×D314yes—
1012C23×C4—24no—
1013C23×C4—24no—
1014C23×C4—21no—
1015C23×C4—62no—
1016C23×C4—61no—
1017C23×C4—62no—
1018C23×C4—128no—
1019C23×C4—122no—
1020C23×C4—122no—
1021C23×C4D3×D412yes—
1022C23×C4D3×D412yes—
1023C23×C4#23711yescharacteristic
1024C23×C4#23711yescharacteristic
1025C23×C4#23711yescharacteristic
1026C23×C4C2×#6712yes—
1027C23×C4C2×#6712yes—
1028C23×C4C23×D311yescharacteristic
1029C23×C4C23×D311yescharacteristic
1030C23×C4C23×D311yescharacteristic
1031#137—68no—
1032#137—124no—
1033#137—128no—
1034AGL(1,ℤ/8)—216no—
1035AGL(1,ℤ/8)—48no—
1036AGL(1,ℤ/8)—416no—
1037AGL(1,ℤ/8)—632no—
1038AGL(1,ℤ/8)—632no—
1039AGL(1,ℤ/8)—6128no—
1040AGL(1,ℤ/8)—632no—
1041AGL(1,ℤ/8)—632no—
1042AGL(1,ℤ/8)—68no—
1043AGL(1,ℤ/8)—124no—
1044AGL(1,ℤ/8)—128no—
1045#135—1216no—
1046C2×Q16—64no—
1047C2×SD16—28no—
1048C2×SD16—316no—
1049C2×SD16—48no—
1050C2×SD16—68no—
1051C2×SD16—68no—
1052C2×SD16—68no—
1053C2×SD16—68no—
1054C2×SD16—664no—
1055C2×SD16—68no—
1056C2×SD16—64no—
1057C2×SD16—64no—
1058C2×D8—28no—
1059C2×D8—316no—
1060C2×D8—48no—
1061C2×D8—68no—
1062C2×D8—68no—
1063C2×D8—68no—
1064C2×D8—68no—
1065C2×D8—664no—
1066C2×D8—68no—
1067C2×D8—64no—
1068#131—616no—
1069#131—128no—
1070C2×M16—22no—
1071C2×M16—24no—
1072C2×M16—24no—
1073C2×M16—32no—
1074C2×M16—32no—
1075C2×M16—38no—
1076C2×M16—32no—
1077C2×M16—32no—
1078C2×M16—38no—
1079C2×M16—32no—
1080C2×M16—34no—
1081C2×M16—32no—
1082C2×M16—68no—
1083C2×M16—64no—
1084C2×M16—616no—
1085C2×M16—616no—
1086C2×M16—64no—
1087C2×M16—61no—
1088C2×M16—61no—
1089C2×M16—62no—
1090C2×M16—64no—
1091C2×M16—64no—
1092C2×M16—64no—
1093C2×M16—64no—
1094C2×M16—128no—
1095C2×M16C23×D314yes—
1096C22×C8—22no—
1097C22×C8—32no—
1098C22×C8—38no—
1099C22×C8—32no—
1100C22×C8—68no—
1101C22×C8—64no—
1102C22×C8—61no—
1103C22×C8—61no—
1104C22×C8—62no—
1105#123—24no—
1106#123—22no—
1107#123—22no—
1108C22⋊Q8—22no—
1109C22⋊Q8—22no—
1110C22⋊Q8C2×#6714yes—
1111C22⋊Q8C2×#6714yes—
1112#121—22no—
1113#121—22no—
1114#121C2×#6714yes—
1115#121C2×#6714yes—
1116#120—24no—
1117#120—22no—
1118#120—22no—
1119C4×D4—24no—
1120C4×D4—24no—
1121C4×D4—24no—
1122C4×D4—24no—
1123#117—21no—
1124#117—21no—
1125#117C2×#6712yes—
1126#117C23×D312yes—
1127C2×C4⋊C4—22no—
1128C2×C4⋊C4C2×#6712yes—
1129C2×C22⋊C4—22no—
1130C2×C22⋊C4—21no—
1131C2×C22⋊C4—22no—
1132C2×C42—21no—
1133#108—616no—
1134C4⋊C8—68no—
1135#103—68no—
1136#102—216no—
1137#102—68no—
1138#101—68no—
1139#101—124no—
1140#100—68no—
1141#100—616no—
1142#100—124no—
1143#100—128no—
1144C22⋊C8—24no—
1145C22⋊C8—24no—
1146C22⋊C8—68no—
1147C22⋊C8—64no—
1148C22⋊C8—64no—
1149C22⋊C8—64no—
1150C22⋊C8—64no—
1151#97—64no—
1152C4×C8—64no—
1153C23×C3—22no—
1154C23×C3—24no—
1155C23×C3—24no—
1156C23×C3—24no—
1157C23×C3—22no—
1158C23×C3—24no—
1159C23×C3—24no—
1160C23×C3—22no—
1161C23×C3—28no—
1162C23×C3—42no—
1163C23×C3—42no—
1164C23×C3—42no—
1165C23×C3—42no—
1166C23×C3—416no—
1167C23×C3—416no—
1168C23×C3—416no—
1169C23×C3—48no—
1170C23×C3—48no—
1171C23×C3—44no—
1172C23×C3—44no—
1173C23×C3—42no—
1174C23×C3—82no—
1175C23×C3—88no—
1176C23×C3—88no—
1177C23×C3—88no—
1178C23×C3—832no—
1179C23×C3—88no—
1180C23×C3—88no—
1181C23×C3—88no—
1182C23×C3—816no—
1183C23×C3—816no—
1184C23×C3—864no—
1185C23×C3—864no—
1186C23×C3—832no—
1187C23×C3—88no—
1188C23×C3C2×#12112yes—
1189C23×C3C2×#12111yescharacteristic
1190C23×C3C2×#12111yescharacteristic
1191C23×C3C2×#12112yes—
1192C23×C3#54614yes—
1193C23×C3C22×#4111yescharacteristic
1194C22×D3—24no—
1195C22×D3—48no—
1196C22×D3—42no—
1197C22×D3—42no—
1198C22×D3—816no—
1199C22×D3—84no—
1200C22×D3—84no—
1201C22×D3—84no—
1202C3×Q8—24no—
1203C3×Q8—42no—
1204C3×D4—28no—
1205C3×D4—24no—
1206C3×D4—28no—
1207C3×D4—416no—
1208C3×D4—416no—
1209C3×D4—44no—
1210C3×D4—44no—
1211C3×D4—48no—
1212C3×D4—48no—
1213C3×D4—48no—
1214C3×D4—42no—
1215C3×D4—44no—
1216C3×D4—44no—
1217C3×D4—84no—
1218C2×C3×C4—24no—
1219C2×C3×C4—24no—
1220C2×C3×C4—22no—
1221C2×C3×C4—22no—
1222C2×C3×C4—22no—
1223C2×C3×C4—22no—
1224C2×C3×C4—24no—
1225C2×C3×C4—24no—
1226C2×C3×C4—24no—
1227C2×C3×C4—24no—
1228C2×C3×C4—22no—
1229C2×C3×C4—22no—
1230C2×C3×C4—24no—
1231C2×C3×C4—24no—
1232C2×C3×C4—24no—
1233C2×C3×C4—22no—
1234C2×C3×C4—42no—
1235C2×C3×C4—42no—
1236C2×C3×C4—44no—
1237C2×C3×C4—42no—
1238C2×C3×C4—82no—
1239C2×C3×C4C2×#12012yes—
1240C2×C3×C4C2×#12012yes—
1241C2×C3×C4C2×#12112yes—
1242C2×C3×C4C2×#12112yes—
1243C2×C3×C4C2×#12111yescharacteristic
1244C2×C3×C4C2×#12111yescharacteristic
1245C2×C3×C4#53512yes—
1246C2×C3×C4#53512yes—
1247C2×C3×C4D4214yes—
1248C2×C3×C4D4214yes—
1249C2×C3×C4#54614yes—
1250C2×C3×C4C23×D411yescharacteristic
1251C2×C3×C4C23×D412yes—
1252C2×C3×C4C23×D411yescharacteristic
1253C2×C3×C4C2×H(5,𝔽2)12yes—
1254#67—416no—
1255#67—48no—
1256#67—48no—
1257C2×Dic3—24no—
1258C2×Dic3—48no—
1259C2×Dic3—42no—
1260C2×Dic3—42no—
1261D12—24no—
1262D12—24no—
1263D12—48no—
1264D12—42no—
1265D12—42no—
1266C4×D3—416no—
1267C4×D3—48no—
1268C4×D3—48no—
1269Dic6—24no—
1270Dic6—24no—
1271Dic6—48no—
1272Dic6—42no—
1273Dic6—42no—
1274C3×C8—44no—
1275C3⋊C8—24no—
1276C3⋊C8—42no—
1277C3⋊C8—42no—
1278C3⋊C8—44no—
1279C3⋊C8C2×#12018yes—
1280C24—24no—
1281C24—24no—
1282C24—21no—
1283C24—28no—
1284C24—44no—
1285C24—48no—
1286C24—48no—
1287C24—416no—
1288C24—416no—
1289C24—44no—
1290C24—44no—
1291C24—42no—
1292C24—42no—
1293C24—44no—
1294C24—62no—
1295C24—88no—
1296C24—88no—
1297C24—88no—
1298C24—88no—
1299C24—88no—
1300C24—88no—
1301C24—88no—
1302C24—864no—
1303C24—124no—
1304C24—122no—
1305C24—244no—
1306C24#93912yes—
1307C24#93912yes—
1308C24C2×#23711yescharacteristic
1309C24C2×#23711yescharacteristic
1310C24C2×#23711yescharacteristic
1311#41—24no—
1312#41—24no—
1313#41—28no—
1314#41—42no—
1315#41—44no—
1316#41—42no—
1317#41—616no—
1318#41—68no—
1319#41—68no—
1320#41—68no—
1321#41—68no—
1322#41—128no—
1323#41—128no—
1324#41—1216no—
1325#41—1216no—
1326#41—1216no—
1327#41—1216no—
1328#41—128no—
1329#41—124no—
1330#41—124no—
1331#41—124no—
1332#41—124no—
1333C2×Q8—21no—
1334C2×Q8—24no—
1335C2×Q8—34no—
1336C2×Q8—68no—
1337C2×Q8—62no—
1338C2×Q8—62no—
1339C2×Q8—62no—
1340C2×Q8—62no—
1341C2×Q8—62no—
1342C2×Q8—124no—
1343C2×Q8—128no—
1344C2×Q8—124no—
1345C2×Q8—122no—
1346C2×Q8C22×#6712yes—
1347C2×D4—216no—
1348C2×D4—216no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—28no—
1360C2×D4—28no—
1361C2×D4—21no—
1362C2×D4—28no—
1363C2×D4—28no—
1364C2×D4—28no—
1365C2×D4—34no—
1366C2×D4—416no—
1367C2×D4—416no—
1368C2×D4—48no—
1369C2×D4—48no—
1370C2×D4—416no—
1371C2×D4—416no—
1372C2×D4—416no—
1373C2×D4—416no—
1374C2×D4—416no—
1375C2×D4—416no—
1376C2×D4—48no—
1377C2×D4—48no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—68no—
1389C2×D4—68no—
1390C2×D4—62no—
1391C2×D4—62no—
1392C2×D4—62no—
1393C2×D4—62no—
1394C2×D4—62no—
1395C2×D4—84no—
1396C2×D4—128no—
1397C2×D4—124no—
1398C2×D4—124no—
1399C2×D4—124no—
1400C2×D4—124no—
1401C2×D4—1216no—
1402C2×D4—1216no—
1403C2×D4—124no—
1404C2×D4—122no—
1405C2×D4—122no—
1406C2×D4—124no—
1407C2×D4—122no—
1408C2×D4C2×D3×D418yes—
1409C2×D4C22×#6712yes—
1410C22×C4—24no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—28no—
1416C22×C4—28no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—21no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4—62no—
1430C22×C4—68no—
1431C22×C4—124no—
1432C22×C4—124no—
1433C22×C4—1216no—
1434C22×C4—1216no—
1435C22×C4—124no—
1436C22×C4—122no—
1437C22×C4—124no—
1438C22×C4—122no—
1439C22×C4—122no—
1440C22×C4—124no—
1441C22×C4#93912yes—
1442C22×C4#93912yes—
1443C22×C4#93912yes—
1444C22×C4#93912yes—
1445C22×C4#93912yes—
1446C22×C4#93912yes—
1447C22×C4C2×D3×D412yes—
1448C22×C4C2×D3×D412yes—
1449C22×C4C2×D3×D414yes—
1450C22×C4C2×D3×D411yescharacteristic
1451C22×C4C2×D3×D411yescharacteristic
1452C22×C4C2×#23711yescharacteristic
1453C22×C4C2×#23711yescharacteristic
1454C22×C4C2×#23711yescharacteristic
1455C22×C4#100414yes—
1456C22×C4C22×#6712yes—
1457C22×C4C22×#6712yes—
1458C22×C4C22×#6711yescharacteristic
1459C22×C4C22×#6711yescharacteristic
1460C22×C4C24×D311yescharacteristic
1461Q16—128no—
1462SD16—416no—
1463SD16—632no—
1464SD16—632no—
1465SD16—128no—
1466SD16—128no—
1467D8—416no—
1468D8—632no—
1469D8—632no—
1470D8—128no—
1471M16—24no—
1472M16—24no—
1473M16—38no—
1474M16—38no—
1475M16—44no—
1476M16—616no—
1477M16—64no—
1478M16—64no—
1479M16—64no—
1480M16—64no—
1481M16—64no—
1482M16—64no—
1483M16—128no—
1484M16—124no—
1485M16—122no—
1486M16—122no—
1487C2×C8—24no—
1488C2×C8—34no—
1489C2×C8—38no—
1490C2×C8—34no—
1491C2×C8—44no—
1492C2×C8—616no—
1493C2×C8—64no—
1494C2×C8—62no—
1495C2×C8—62no—
1496C2×C8—64no—
1497C2×C8—128no—
1498C2×C8—124no—
1499C2×C8—122no—
1500C2×C8—122no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4C22×#6714yes—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C42—22no—
1512C42—22no—
1513C22×C3—28no—
1514C22×C3—22no—
1515C22×C3—22no—
1516C22×C3—22no—
1517C22×C3—22no—
1518C22×C3—22no—
1519C22×C3—22no—
1520C22×C3—22no—
1521C22×C3—22no—
1522C22×C3—44no—
1523C22×C3—48no—
1524C22×C3—48no—
1525C22×C3—44no—
1526C22×C3—44no—
1527C22×C3—42no—
1528C22×C3—48no—
1529C22×C3—88no—
1530C22×C3—816no—
1531C22×C3—88no—
1532C22×C3—832no—
1533C22×C3—816no—
1534C22×C3—832no—
1535C22×C3—88no—
1536C22×C3—162no—
1537C22×C3#240812yes—
1538C22×C3#240812yes—
1539C22×C3#306814yescomplemented
1540C22×C3C22×#12111yescharacteristic
1541C22×C3C2×#54612yes—
1542C2×D3—44no—
1543C2×D3—84no—
1544C2×D3—816no—
1545C2×D3—84no—
1546C2×D3—84no—
1547C3×C4—22no—
1548C3×C4—22no—
1549C3×C4—44no—
1550C3×C4—42no—
1551C3×C4#240812yes—
1552C3×C4#240812yes—
1553C3×C4C22×#12011yescharacteristic
1554C3×C4C2×#53511yescharacteristic
1555C3×C4C2×D4212yes—
1556Dic3—44no—
1557C23—22no—
1558C23—24no—
1559C23—24no—
1560C23—24no—
1561C23—22no—
1562C23—24no—
1563C23—24no—
1564C23—22no—
1565C23—28no—
1566C23—42no—
1567C23—42no—
1568C23—42no—
1569C23—42no—
1570C23—416no—
1571C23—416no—
1572C23—416no—
1573C23—48no—
1574C23—48no—
1575C23—44no—
1576C23—44no—
1577C23—42no—
1578C23—64no—
1579C23—82no—
1580C23—88no—
1581C23—832no—
1582C23—88no—
1583C23—88no—
1584C23—88no—
1585C23—88no—
1586C23—88no—
1587C23—816no—
1588C23—816no—
1589C23—864no—
1590C23—864no—
1591C23—832no—
1592C23—88no—
1593C23—128no—
1594C23—122no—
1595C23—122no—
1596C23—244no—
1597C23—2416no—
1598C23—244no—
1599C23—244no—
1600C23#559114yes—
1601C23C2×#93912yes—
1602C23C2×#93911yescharacteristic
1603C23C2×#93911yescharacteristic
1604C23C2×#93912yes—
1605C23C22×#23711yescharacteristic
1606Q8—24no—
1607Q8—42no—
1608Q8—64no—
1609Q8—64no—
1610Q8—128no—
1611Q8—122no—
1612Q8—122no—
1613D4—28no—
1614D4—24no—
1615D4—28no—
1616D4—416no—
1617D4—416no—
1618D4—44no—
1619D4—44no—
1620D4—48no—
1621D4—48no—
1622D4—48no—
1623D4—42no—
1624D4—44no—
1625D4—44no—
1626D4—64no—
1627D4—64no—
1628D4—84no—
1629D4—128no—
1630D4—1216no—
1631D4—128no—
1632D4—128no—
1633D4—122no—
1634D4—122no—
1635C2×C4—24no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—42no—
1652C2×C4—44no—
1653C2×C4—42no—
1654C2×C4—42no—
1655C2×C4—64no—
1656C2×C4—82no—
1657C2×C4—1216no—
1658C2×C4—128no—
1659C2×C4—122no—
1660C2×C4—122no—
1661C2×C4—128no—
1662C2×C4—128no—
1663C2×C4D3×#12012yes—
1664C2×C4D3×#12012yes—
1665C2×C4#559114yes—
1666C2×C4#559212yes—
1667C2×C4#559212yes—
1668C2×C4D4×#6714yes—
1669C2×C4D4×#6714yes—
1670C2×C4C2×#93912yes—
1671C2×C4C2×#93912yes—
1672C2×C4C2×#93911yescharacteristic
1673C2×C4C2×#93911yescharacteristic
1674C2×C4C22×D3×D411yescharacteristic
1675C2×C4C22×D3×D412yes—
1676C2×C4C2×#100412yes—
1677C2×C4C23×#6711yescharacteristic
1678C8—38no—
1679C8—44no—
1680C8—64no—
1681C8—122no—
1682C8—122no—
1683C8—124no—
1684C2×C3—22no—
1685C2×C3—24no—
1686C2×C3—22no—
1687C2×C3—22no—
1688C2×C3—42no—
1689C2×C3—82no—
1690C2×C3—88no—
1691C2×C3C2×#240811yescharacteristic
1692C2×C3C2×#306812yes—
1693D3—84no—
1694C22—28no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—44no—
1704C22—48no—
1705C22—48no—
1706C22—44no—
1707C22—42no—
1708C22—48no—
1709C22—44no—
1710C22—88no—
1711C22—88no—
1712C22—832no—
1713C22—816no—
1714C22—816no—
1715C22—832no—
1716C22—88no—
1717C22—124no—
1718C22—162no—
1719C22—244no—
1720C22—244no—
1721C22—2416no—
1722C22—244no—
1723C22#8258212yes—
1724C22#8258212yes—
1725C22#8394314yescomplemented
1726C22C2×#559112yes—
1727C22C22×#93911yescharacteristic
1728C4—22no—
1729C4—22no—
1730C4—42no—
1731C4—44no—
1732C4—124no—
1733C4#8258212yes—
1734C4#8258212yes—
1735C4C2×#559211yescharacteristic
1736C4C2×D3×#12011yescharacteristic
1737C4C2×D4×#6712yes—
1738C3#644258411yescharacteristic, complemented, Sylow
1739C2—22no—
1740C2—24no—
1741C2—22no—
1742C2—22no—
1743C2—42no—
1744C2—82no—
1745C2—88no—
1746C2—244no—
1747C2C2×#8258211yescharacteristic
1748C2C2×#8394312yes—
subgroupG/H
centerC22C22×#939
commutator, cosocleC22×C3×C4C25
FrattiniC22×C4C24×D3
FittingC2×C3×#3003C2
socleC22×C3C22×#121
hypercenterC2×#3003D3
hypocenterC3#6442584
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C24×C4 ◁ C2×#3003

Complements

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

NH ≅ G/Ntype
1. C23×#932C2semidirect
2. C2×#83943C2semidirect
3. #11661579C2semidirect
4. #11659117C2semidirect
5. #10831093C2semidirect
6. #10831052C2semidirect
7. #10831019C2semidirect
8. #10823001C2semidirect
9. #10822401C2semidirect
10. #10799205C2semidirect
11. #10794810C2semidirect
12. #10794349C2semidirect
13. C2×#72129C2semidirect
14. C2×C3×#3003C2semidirect
18. C22×C3×AGL(1,ℤ/8)C22semidirect
20. C2×#5822C22semidirect
21. C2×#5819C22semidirect
22. C23×#214C22semidirect
28. C22×#932C22semidirect
29. C23×#213C22semidirect
33. C3×#3003C22semidirect
36. C2×C3×#418C22semidirect
38. #84074C22semidirect
39. C22×#833C22semidirect
40. C22×#833C22semidirect
44. C2×#5199C22semidirect
45. C2×#5200C22semidirect
46. C2×#5132C22semidirect
47. C2×#5132C22semidirect
48. C2×#5124C22semidirect
49. #82933C22semidirect
50. #82928C22semidirect
51. #82927C22semidirect
54. #82917C22semidirect
55. #82916C22semidirect
59. #82213C22semidirect
60. #82204C22semidirect
61. #82202C22semidirect
62. #72129C22semidirect
63. #72129C22semidirect
64. #72097C22semidirect
65. #72095C22semidirect
66. #71994C22semidirect
67. #70320C22semidirect
68. #70319C22semidirect
69. #70316C22semidirect
70. #70315C22semidirect
71. #69990C22semidirect
72. #69989C22semidirect
73. #69988C22semidirect
74. #69983C22semidirect
75. #69982C22semidirect
79. C2×#3003D3semidirect
138. C2×#951C23semidirect
142. C2×#949C23semidirect
145. C2×#948C23semidirect
164. C2×#932D4semidirect
192. #5234C23semidirect
208. C2×#824C23semidirect
209. C2×#824C23semidirect
212. C2×#823C23semidirect
213. C2×#823C23semidirect
215. C2×#822C23semidirect
226. #5004C23semidirect
228. #5001C23semidirect
230. #4999C23semidirect
232. #4997C23semidirect
236. #4558C23semidirect
246. C22×AGL(1,ℤ/8)C2×D3semidirect
262. #3003C2×D3semidirect
273. C2×#418C2×D3semidirect
470. C2×#214C2×D4semidirect
484. C2×#213C2×D4semidirect
1539. C22×C3#3068semidirect
1725. C22#83943semidirect
1738. C3#6442584semidirect

Maximal subgroups

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

subgroupindex
C23×#9322
C2×#839432
#116615792
#116591172
#108310932
#108310522
#108310192
#108230012
#108224012
#107992052
#107948102
#107943492
C2×#721292
C2×C3×#30032
#64425843