Finite Group Databasebeta

← D61×#3532 #30587128

Subgroups — D61×#3532 #30587128

Order 15616.

9542 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459976C211yesmaximal, characteristic, complemented
2#21459975C213yesmaximal, complemented
3#21459974C213yesmaximal, complemented
4#21459973C213yesmaximal, complemented
5#21459972C213yesmaximal, complemented
6#21459971C213yesmaximal, complemented
7#21459970C216yesmaximal, complemented
8#21459969C213yesmaximal, complemented
9#21459968C216yesmaximal, complemented
10H(3,𝔽4)×D61C211yesmaximal, characteristic, complemented
11#560×D61C213yesmaximal, complemented
12#551×D61C213yesmaximal, complemented
13#546×D61C216yesmaximal, complemented
14D42×D61C213yesmaximal, complemented
15#538×D61C216yesmaximal, complemented
16#535×D61C213yesmaximal, complemented
17#534×D61C213yesmaximal, complemented
18C2×#120×D61C213yesmaximal, complemented
19C61×#3532C211yesmaximal, characteristic, complemented
20C25×D61C2211yescharacteristic, complemented
21C2×#41×D61C2213yescomplemented
22C22×D4×D61C2216yescomplemented
23C22×D4×D61C2213yescomplemented
24C22×D4×D61C2213yescomplemented
25#16840505C2213yescomplemented
26#16840505C2213yescomplemented
27#16840504C2216yescomplemented
28#16840504C2213yescomplemented
29#16840503C2216yescomplemented
30#16840502C2216yescomplemented
31#16840502C2213yescomplemented
32#16840501C2216yescomplemented
33#16840501C2213yescomplemented
34#16840500C2216yescomplemented
35#16840500C2216yescomplemented
36#16840500C2216yescomplemented
37#16840499C2213yescomplemented
38#16840443C2213yescomplemented
39#16840442C2213yescomplemented
40#16840441C2216yescomplemented
41#16840440C2213yescomplemented
42#16840439C2216yescomplemented
43#16840438C2216yescomplemented
44#16840437C2216yescomplemented
45#16840436C2216yescomplemented
46#16840435C2216yescomplemented
47#16840409C2216yescomplemented
48#16840408C2216yescomplemented
49#16840407C2216yescomplemented
50#16840406C2216yescomplemented
51#16840405C2216yescomplemented
52#16840404C2216yescomplemented
53#16840404C2216yescomplemented
54#16840403C2216yescomplemented
55#16840402C2216yescomplemented
56#16840402C2216yescomplemented
57#16840401C2216yescomplemented
58#16840401C2216yescomplemented
59#16840400C2216yescomplemented
60#16840399C2216yescomplemented
61#16840399C2216yescomplemented
62D4×D244C2216yescomplemented
63#16840397C2213yescomplemented
64#16840396C2216yescomplemented
65#16840396C2216yescomplemented
66D4×C22⋊D61C2216yescomplemented
67D4×C22⋊D61C2216yescomplemented
68#16840394C2213yescomplemented
69#16840394C2213yescomplemented
70#16840394C2216yescomplemented
71#16840352C2216yescomplemented
72#16840351C2216yescomplemented
73#16840351C2216yescomplemented
74#16840350C2216yescomplemented
75#16840349C2216yescomplemented
76#16840348C2216yescomplemented
77#16840348C2216yescomplemented
78#16840347C2216yescomplemented
79#16840347C2216yescomplemented
80#16840346C2216yescomplemented
81#16840346C2216yescomplemented
82#16840345C2216yescomplemented
83#16840345C2216yescomplemented
84#16840344C2216yescomplemented
85#16840344C2216yescomplemented
86#16840331C2213yescomplemented
87#16840330C2213yescomplemented
88#16840330C2213yescomplemented
89#16840329C2213yescomplemented
90#16840328C2216yescomplemented
91#16840328C2216yescomplemented
92#16840327C2216yescomplemented
93#16840327C2216yescomplemented
94#16840326C2213yescomplemented
95#16840325C2213yescomplemented
96#16840325C2213yescomplemented
97#16840324C2213yescomplemented
98#16840323C2216yescomplemented
99#16840323C2213yescomplemented
100#16840323C2213yescomplemented
101#16840322C2213yescomplemented
102#16840322C2216yescomplemented
103#16840322C2213yescomplemented
104#16840321C2213yescomplemented
105#16840321C2213yescomplemented
106#16840320C2216yescomplemented
107#16840320C2216yescomplemented
108#127×D61C2213yescomplemented
109#127×D61C2211yescharacteristic, complemented
110#126×D61C2216yescomplemented
111#126×D61C2212yescomplemented
112#124×D61C2216yescomplemented
113#124×D61C2213yescomplemented
114#124×D61C2213yescomplemented
115#123×D61C2216yescomplemented
116#123×D61C2216yescomplemented
117#123×D61C2213yescomplemented
118#123×D61C2213yescomplemented
119C22⋊Q8×D61C2216yescomplemented
120#121×D61C2216yescomplemented
121#121×D61C2216yescomplemented
122#121×D61C2216yescomplemented
123#121×D61C2216yescomplemented
124#121×D61C2216yescomplemented
125C2×#14519747C2216yescomplemented
126C2×#14519747C2213yescomplemented
127C2×#14519746C2213yescomplemented
128C2×#14519745C2216yescomplemented
129C2×#14519745C2213yescomplemented
130#120×D61C2213yes—
131#120×D61C2213yescomplemented
132#120×D61C2216yescomplemented
133#120×D61C2216yescomplemented
134#120×D61C2213yescomplemented
135#120×D61C2213yescomplemented
136#120×D61C2213yescomplemented
137#120×D61C2211yescharacteristic, complemented
138#120×D61C2216yescomplemented
139#120×D61C2213yescomplemented
140#120×D61C2216yescomplemented
141#120×D61C2213yescomplemented
142#120×D61C2213yescomplemented
143#120×D61C2216yescomplemented
144#120×D61C2213yescomplemented
145C4×D4×D61C2216yescomplemented
146C4×D4×D61C2216yescomplemented
147#117×D61C2213yescomplemented
148C2×C22⋊C4×D61C2216yescomplemented
149C2×C22⋊C4×D61C2213yescomplemented
150C2×C22⋊C4×D61C2213yescomplemented
151C61×H(3,𝔽4)C2211yescharacteristic, complemented
152C61×#560C2213yescomplemented
153C61×#551C2213yescomplemented
154C61×#546C2216yescomplemented
155D42×C61C2213yescomplemented
156C61×#538C2216yescomplemented
157C61×#535C2213yescomplemented
158C61×#534C2213yescomplemented
159C2×#120×C61C2213yescomplemented
160C24×D61—412no—
161C24×D61C2313yes—
162C24×D61C2313yes—
163C24×D61C2313yes—
164C24×D61C2311yescharacteristic
165C24×D61C2311yescharacteristic, complemented
166C24×D61C2313yescomplemented
167C24×D61C2313yescomplemented
168C24×D61C2311yescharacteristic, complemented
169C2×#11758226C2313yescomplemented
170C2×#11758222C2316yescomplemented
171C2×#11758222C2313yescomplemented
172C2×#11758224C2313yescomplemented
173C2×#11758224C2316yescomplemented
174#41×D61—412no—
175C2×Q8×D61C2313yescomplemented
176C22×D244C2313yescomplemented
177C22×D244C2316yescomplemented
178C22×D244C2313yescomplemented
179C22×C22⋊D61C2313yescomplemented
180C22×C22⋊D61C2316yescomplemented
181C22×C22⋊D61C2313yescomplemented
182C22×C22⋊D61C2316yescomplemented
183C22×C22⋊D61C2313yescomplemented
184C22×C22⋊D61C2313yescomplemented
185C2×D4×D61—412no—
186C2×D4×D61—424no—
187C2×D4×D61—412no—
188C2×D4×D61C2316yes—
189C2×D4×D61C2316yes—
190C2×D4×D61C2313yes—
191C2×D4×D61C2313yes—
192C2×D4×D61C2316yes—
193C2×D4×D61C2313yes—
194C2×D4×D61C2316yes—
195C2×D4×D61C2313yes—
196C2×D4×D61C2313yescomplemented
197C2×D4×D61C2313yescomplemented
198C2×D4×D61C2313yescomplemented
199C2×D4×D61C2313yescomplemented
200C2×D4×D61C2316yescomplemented
201C2×D4×D61C2316yescomplemented
202C2×D4×D61C2316yescomplemented
203C2×D4×D61C2316yescomplemented
204C2×D4×D61C2313yescomplemented
205C2×D4×D61C2316yescomplemented
206C2×D4×D61C2316yescomplemented
207C2×D4×D61C2316yescomplemented
208C22×C4×D61C2313yes—
209C22×C4×D61C2316yes—
210C22×C4×D61C2316yescomplemented
211C22×C4×D61C2313yescomplemented
212#14519774C2313yescomplemented
213#14519774C2311yescharacteristic, complemented
214#14519773C2313yescomplemented
215#14519773C2316yescomplemented
216#14519773C2313yescomplemented
217#14519773C2316yescomplemented
218#14519773C2313yescomplemented
219#14519773C2313yescomplemented
220#14519772C2316yescomplemented
221#14519772C2316yescomplemented
222#14519772C2316yescomplemented
223#14519772C2316yescomplemented
224#14519771C2316yescomplemented
225#14519771C2312yescomplemented
226#14519770C2316yescomplemented
227#14519770C2316yescomplemented
228#14519770C2316yescomplemented
229#14519770C2316yescomplemented
230#14519766C2313yescomplemented
231#14519766C2316yescomplemented
232#14519766C2313yescomplemented
233#14519765C2313yescomplemented
234#14519765C2316yescomplemented
235#14519765C2313yescomplemented
236#14519764C2313yescomplemented
237#14519764C2316yescomplemented
238#14519764C2313yescomplemented
239#14519763C2316yescomplemented
240#14519763C2316yescomplemented
241#14519763C2316yescomplemented
242#14519763C2316yescomplemented
243#14519763C2316yescomplemented
244#14519763C2316yescomplemented
245#14519763C2316yescomplemented
246#14519763C2316yescomplemented
247#14519762C2316yescomplemented
248#14519762C2316yescomplemented
249#14519762C2316yescomplemented
250#14519762C2316yescomplemented
251#14519762C2316yescomplemented
252#14519762C2316yescomplemented
253#14519761C2313yescomplemented
254#14519761C2316yescomplemented
255#14519761C2313yescomplemented
256#14519761C2316yescomplemented
257#14519760C2313yescomplemented
258#14519760C2316yescomplemented
259#14519760C2313yescomplemented
260#14519760C2316yescomplemented
261#14519759C2316yescomplemented
262#14519759C2316yescomplemented
263#14519759C2316yescomplemented
264#14519759C2316yescomplemented
265#14519759C2316yescomplemented
266#14519759C2316yescomplemented
267#14519758C2313yescomplemented
268#14519758C2316yescomplemented
269#14519758C2313yescomplemented
270#14519758C2316yescomplemented
271#14519757C2316yescomplemented
272#14519756C2316yescomplemented
273#14519755C2316yescomplemented
274#14519755C2316yescomplemented
275#14519754C2316yescomplemented
276#14519754C2316yescomplemented
277#14519753C2316yescomplemented
278#14519752C2316yescomplemented
279#14519752C2316yescomplemented
280#14519752C2316yescomplemented
281#14519752C2316yescomplemented
282#14519752C2316yescomplemented
283#14519751C2316yescomplemented
284#14519751C2316yescomplemented
285#14519751C2316yescomplemented
286#14519751C2316yescomplemented
287#14519751C2316yescomplemented
288#14519750C2316yescomplemented
289#14519750C2316yescomplemented
290#14519750C2316yescomplemented
291#14519750C2316yescomplemented
292#14519750C2316yescomplemented
293#14519750C2316yescomplemented
294#14519750C2316yescomplemented
295#14519750C2316yescomplemented
296#14519750C2316yescomplemented
297#14519750C2316yescomplemented
298#14519749C2316yescomplemented
299#14519749C2316yescomplemented
300#14519749C2316yescomplemented
301#14519749C2316yescomplemented
302#14519749C2316yescomplemented
303#14519749C2316yescomplemented
304#14519749C2316yescomplemented
305#14519749C2316yescomplemented
306#14519749C2316yescomplemented
307#14519749C2316yescomplemented
308#14519748C2316yescomplemented
309#14519748C2316yescomplemented
310#14519748C2316yescomplemented
311#14519748C2316yescomplemented
312#14519748C2316yescomplemented
313#14519747C2316yes—
314#14519747C2313yes—
315#14519747C2313yescomplemented
316#14519747C2316yescomplemented
317#14519747C2316yescomplemented
318#14519747C2313yescomplemented
319#14519747C2316yescomplemented
320#14519747C2316yescomplemented
321#14519747C2316yescomplemented
322#14519747C2316yescomplemented
323#14519747C2316yescomplemented
324#14519747C2316yescomplemented
325#14519747C2316yescomplemented
326#14519747C2313yescomplemented
327#14519747C2316yescomplemented
328#14519747C2316yescomplemented
329#14519747C2316yescomplemented
330#14519747C2316yescomplemented
331#14519747C2313yescomplemented
332#14519747C2313yescomplemented
333#14519746C2313yes—
334#14519746C2313yescomplemented
335#14519746C2313yescomplemented
336#14519746C2316yescomplemented
337#14519746C2316yescomplemented
338#14519746C2313yescomplemented
339#14519746C2316yescomplemented
340#14519746C2313yescomplemented
341#14519746C2311yescharacteristic, complemented
342#14519745C2313yes—
343#14519745C2316yes—
344#14519745C2316yescomplemented
345#14519745C2313yescomplemented
346#14519745C2313yescomplemented
347#14519745C2316yescomplemented
348#14519745C2316yescomplemented
349#14519745C2316yescomplemented
350#14519745C2316yescomplemented
351#14519745C2316yescomplemented
352#14519745C2316yescomplemented
353#14519745C2316yescomplemented
354#14519745C2316yescomplemented
355#14519745C2313yescomplemented
356#14519745C2316yescomplemented
357#14519745C2316yescomplemented
358#14519745C2316yescomplemented
359#14519745C2316yescomplemented
360#14519745C2313yescomplemented
361#14519745C2313yescomplemented
362C4×D244C2316yescomplemented
363C4×D244C2316yescomplemented
364D4×Dic61C2316yescomplemented
365D4×Dic61C2316yescomplemented
366#14519739C2316yescomplemented
367#14519739C2316yescomplemented
368C4×C22⋊D61C2316yescomplemented
369C4×C22⋊D61C2316yescomplemented
370C4×C22⋊D61C2316yescomplemented
371C4×C22⋊D61C2316yescomplemented
372#14519737C2316yescomplemented
373#14519737C2316yescomplemented
374#14519737C2316yescomplemented
375#14519737C2316yescomplemented
376#14519736C2313yescomplemented
377#14519735C2316yescomplemented
378#14519734C2313yescomplemented
379#14519734C2313yescomplemented
380#14519733C2316yescomplemented
381C4⋊C4×D61C2316yescomplemented
382C4⋊C4×D61C2316yescomplemented
383C4⋊C4×D61C2316yescomplemented
384C2×C22⋊Dic61C2313yescomplemented
385C2×C22⋊Dic61C2316yescomplemented
386C2×C22⋊Dic61C2313yescomplemented
387C2×#11758198C2316yescomplemented
388C2×#11758198C2316yescomplemented
389C2×#11758198C2316yescomplemented
390C2×#11758198C2316yescomplemented
391C22⋊C4×D61C2316yes—
392C22⋊C4×D61C2316yes—
393C22⋊C4×D61C2313yes—
394C22⋊C4×D61C2316yes—
395C22⋊C4×D61C2316yes—
396C22⋊C4×D61C2316yes—
397C22⋊C4×D61C2313yes—
398C22⋊C4×D61C2313yescomplemented
399C22⋊C4×D61C2316yescomplemented
400C22⋊C4×D61C2313yescomplemented
401C22⋊C4×D61C2316yescomplemented
402C22⋊C4×D61C2316yescomplemented
403C22⋊C4×D61C2316yescomplemented
404C22⋊C4×D61C2316yescomplemented
405C22⋊C4×D61C2313yescomplemented
406C22⋊C4×D61C2313yescomplemented
407C22⋊C4×D61C2316yescomplemented
408C22⋊C4×D61C2313yescomplemented
409C22⋊C4×D61C2313yescomplemented
410C22⋊C4×D61C2316yescomplemented
411C22⋊C4×D61C2316yescomplemented
412C42×D61C2311yescharacteristic, complemented
413C42×D61C2313yescomplemented
414C42×D61C2312yescomplemented
415C25×C61C2311yescharacteristic, complemented
416C2×#41×C61C2313yescomplemented
417C22×D4×C61C2313yescomplemented
418C22×D4×C61C2316yescomplemented
419C22×D4×C61C2313yescomplemented
420#127×C61C2311yescharacteristic, complemented
421#127×C61C2313yescomplemented
422#126×C61C2312yescomplemented
423#126×C61C2316yescomplemented
424#124×C61C2313yescomplemented
425#124×C61C2313yescomplemented
426#124×C61C2316yescomplemented
427#123×C61C2313yescomplemented
428#123×C61C2313yescomplemented
429#123×C61C2316yescomplemented
430#123×C61C2316yescomplemented
431C22⋊Q8×C61C2316yescomplemented
432#121×C61C2316yescomplemented
433#121×C61C2316yescomplemented
434#121×C61C2316yescomplemented
435#121×C61C2316yescomplemented
436#121×C61C2316yescomplemented
437#120×C61C2313yes—
438#120×C61C2316yescomplemented
439#120×C61C2316yescomplemented
440#120×C61C2313yescomplemented
441#120×C61C2313yescomplemented
442#120×C61C2313yescomplemented
443#120×C61C2316yescomplemented
444#120×C61C2311yescharacteristic, complemented
445#120×C61C2313yescomplemented
446C4×D4×C61C2316yescomplemented
447C4×D4×C61C2316yescomplemented
448#117×C61C2313yescomplemented
449C2×C22⋊C4×C61C2313yescomplemented
450C2×C22⋊C4×C61C2316yescomplemented
451C2×C22⋊C4×C61C2313yescomplemented
452C24×C61—46no—
453C24×C61C2413yes—
454C24×C61C2413yes—
455C24×C61C2413yes—
456C24×C61C2411yescharacteristic
457C24×C61C2411yescharacteristic, complemented
458C23×D61—224no—
459C23×D61—212no—
460C23×D61—212no—
461C23×D61—46no—
462C23×D61—412no—
463C23×D61—46no—
464C23×D61—46no—
465C23×D61—412no—
466C23×D61—46no—
467C23×D61—412no—
468C23×D61—46no—
469C23×D61—412no—
470C23×D61—46no—
471C23×D61—464no—
472C23×D61C2413yes—
473C23×D61C2413yes—
474C23×D61C2413yes—
475C23×D61C2411yescharacteristic
476C23×D61C2413yes—
477C23×D61C2416yes—
478C23×D61C2413yes—
479C23×D61C2413yes—
480C23×D61C2413yes—
481C23×D61C2413yes—
482C23×D61C2413yes—
483C23×D61C2413yes—
484C23×D61C2413yes—
485C23×D61C2413yes—
486C23×D61C2413yescomplemented
487#41×C61—46no—
488C2×Q8×C61C2413yescomplemented
489C2×D4×C61—46no—
490C2×D4×C61—412no—
491C2×D4×C61—46no—
492C2×D4×C61C2416yes—
493C2×D4×C61C2416yes—
494C2×D4×C61C2413yes—
495C2×D4×C61C2413yes—
496C2×D4×C61C2416yes—
497C2×D4×C61C2413yes—
498C2×D4×C61C2416yes—
499C2×D4×C61C2413yes—
500C2×D4×C61C2416yescomplemented
501C2×D4×C61C2413yescomplemented
502C22×C4×C61C2413yes—
503C22×C4×C61C2416yes—
504C22×C4×C61C2413yescomplemented
505C22×C4×C61C2416yescomplemented
506C2×C22⋊D61—46no—
507C2×C22⋊D61—46no—
508C2×C22⋊D61—412no—
509C2×C22⋊D61—46no—
510C2×C22⋊D61—412no—
511C2×C22⋊D61—46no—
512C2×C22⋊D61C2416yes—
513C2×C22⋊D61C2416yes—
514C2×C22⋊D61C2416yes—
515C2×C22⋊D61C2416yes—
516C2×C22⋊D61C2413yes—
517C2×C22⋊D61C2413yes—
518C2×C22⋊D61C2416yes—
519C2×C22⋊D61C2413yes—
520C2×C22⋊D61C2416yes—
521C2×C22⋊D61C2413yes—
522C2×C22⋊D61C2413yes—
523C2×C22⋊D61C2416yes—
524C2×C22⋊D61C2413yes—
525C2×C22⋊D61C2413yes—
526C2×C22⋊D61C2413yes—
527C2×C22⋊D61C2416yes—
528C2×C22⋊D61C2416yescomplemented
529C2×C22⋊D61C2416yescomplemented
530C2×C22⋊D61C2416yescomplemented
531C22×Dic61C2413yes—
532C22×Dic61C2416yes—
533C22×Dic61C2413yescomplemented
534C22×Dic61C2416yescomplemented
535#11758226—46no—
536Q8×D61—46no—
537#11758224—46no—
538#11758224—412no—
539D4×D61—224no—
540D4×D61—224no—
541D4×D61—46no—
542D4×D61—46no—
543D4×D61—46no—
544D4×D61—46no—
545D4×D61—412no—
546D4×D61—412no—
547D4×D61—46no—
548D4×D61—46no—
549D4×D61—46no—
550D4×D61—46no—
551D4×D61—412no—
552D4×D61—46no—
553D4×D61—412no—
554D4×D61—412no—
555D4×D61—412no—
556D4×D61—412no—
557D4×D61—412no—
558D4×D61—412no—
559#11758222—412no—
560#11758222—46no—
561C2×D244—46no—
562C2×D244—412no—
563C2×D244—46no—
564C2×D244C2416yes—
565C2×D244C2416yes—
566C2×D244C2413yes—
567C2×D244C2416yes—
568C2×D244C2413yes—
569C2×D244C2413yes—
570C2×D244C2413yes—
571C2×D244C2416yes—
572C2×D244C2416yescomplemented
573C2×D244C2413yescomplemented
574C2×C4×D61—212no—
575C2×C4×D61—412no—
576C2×C4×D61—46no—
577C2×C4×D61—412no—
578C2×C4×D61C2413yes—
579C2×C4×D61C2416yes—
580C2×C4×D61C2416yes—
581C2×C4×D61C2413yes—
582C2×C4×D61C2413yes—
583C2×C4×D61C2413yes—
584C2×C4×D61C2416yes—
585C2×C4×D61C2416yes—
586C2×C4×D61C2416yescomplemented
587C2×C4×D61C2416yescomplemented
588C2×C4×D61C2416yescomplemented
589C2×Dic122C2413yescomplemented
590C2×Dic122C2416yescomplemented
591C4⋊C4×C61C2416yescomplemented
592C4⋊C4×C61C2416yescomplemented
593C4⋊C4×C61C2416yescomplemented
594C22⋊C4×C61C2416yes—
595C22⋊C4×C61C2416yes—
596C22⋊C4×C61C2413yes—
597C22⋊C4×C61C2416yes—
598C22⋊C4×C61C2416yes—
599C22⋊C4×C61C2416yes—
600C22⋊C4×C61C2413yes—
601C22⋊C4×C61C2413yescomplemented
602C22⋊C4×C61C2413yescomplemented
603C22⋊C4×C61C2416yescomplemented
604C22⋊C4×C61C2416yescomplemented
605C42×C61C2411yescharacteristic, complemented
606C42×C61C2413yescomplemented
607C42×C61C2412yescomplemented
608C22⋊Dic61C2416yes—
609C22⋊Dic61C2416yes—
610C22⋊Dic61C2413yes—
611C22⋊Dic61C2416yes—
612C22⋊Dic61C2416yes—
613C22⋊Dic61C2416yes—
614C22⋊Dic61C2413yes—
615C22⋊Dic61C2413yescomplemented
616C22⋊Dic61C2413yescomplemented
617C22⋊Dic61C2416yescomplemented
618C22⋊Dic61C2416yescomplemented
619#11758198C2416yes—
620#11758198C2416yes—
621#11758198C2416yes—
622#11758198C2416yes—
623#11758198C2416yes—
624#11758198C2416yes—
625#11758198C2416yes—
626#11758198C2416yes—
627#11758198C2416yes—
628#11758198C2416yes—
629#11758198C2416yes—
630#11758198C2416yes—
631#11758198C2416yescomplemented
632#11758198C2416yescomplemented
633#11758198C2416yescomplemented
634#11758198C2416yescomplemented
635#11758198C2416yescomplemented
636#11758198C2416yescomplemented
637C4⋊Dic61C2416yescomplemented
638C4⋊Dic61C2416yescomplemented
639C4⋊Dic61C2416yescomplemented
640#11758196C2416yescomplemented
641#11758196C2416yescomplemented
642#11758196C2416yescomplemented
643#11758196C2416yescomplemented
644#11758196C2416yescomplemented
645#11758196C2416yescomplemented
646C4×Dic61C2413yescomplemented
647C4×Dic61C2416yescomplemented
648C4×Dic61C2413yescomplemented
649C4×Dic61C2416yescomplemented
650C23×C61—212no—
651C23×C61—26no—
652C23×C61—26no—
653C23×C61—43no—
654C23×C61—46no—
655C23×C61—43no—
656C23×C61—46no—
657C23×C61—43no—
658C23×C61—416no—
659C23×C61C2513yes—
660C23×C61C2511yescharacteristic
661C23×C61C2513yes—
662C23×C61C2513yes—
663C23×C61C2513yes—
664C22×D61—212no—
665C22×D61—26no—
666C22×D61—212no—
667C22×D61—26no—
668C22×D61—212no—
669C22×D61—26no—
670C22×D61—212no—
671C22×D61—212no—
672C22×D61—26no—
673C22×D61—212no—
674C22×D61—26no—
675C22×D61—26no—
676C22×D61—26no—
677C22×D61—26no—
678C22×D61—212no—
679C22×D61—26no—
680C22×D61—26no—
681C22×D61—43no—
682C22×D61—46no—
683C22×D61—46no—
684C22×D61—46no—
685C22×D61—46no—
686C22×D61—46no—
687C22×D61—43no—
688C22×D61—448no—
689C22×D61—46no—
690C22×D61—43no—
691C22×D61—46no—
692C22×D61—46no—
693C22×D61—46no—
694C22×D61—448no—
695C22×D61—416no—
696C22×D61—448no—
697C22×D61—448no—
698C22×D61—416no—
699C22×D61—824no—
700C22×D61—88no—
701C22×D61H(5,𝔽2)112yes—
702C22×D61C2513yes—
703C22×D61C2511yescharacteristic
704C22×D61C2513yes—
705C22×D61C2513yes—
706C22×D61C2513yes—
707C22×D61C2511yescharacteristic
708Q8×C61—43no—
709D4×C61—212no—
710D4×C61—212no—
711D4×C61—43no—
712D4×C61—43no—
713D4×C61—46no—
714D4×C61—43no—
715D4×C61—43no—
716D4×C61—46no—
717D4×C61—46no—
718D4×C61—43no—
719C2×C4×C61—26no—
720C2×C4×C61—46no—
721C2×C4×C61—43no—
722C2×C4×C61—46no—
723C2×C4×C61C2513yes—
724C2×C4×C61C2516yes—
725C2×C4×C61C2516yes—
726C2×C4×C61C2513yes—
727C22⋊D61—212no—
728C22⋊D61—212no—
729C22⋊D61—212no—
730C22⋊D61—212no—
731C22⋊D61—46no—
732C22⋊D61—43no—
733C22⋊D61—43no—
734C22⋊D61—43no—
735C22⋊D61—43no—
736C22⋊D61—46no—
737C22⋊D61—46no—
738C22⋊D61—43no—
739C22⋊D61—43no—
740C22⋊D61—43no—
741C22⋊D61—43no—
742C22⋊D61—46no—
743C22⋊D61—46no—
744C22⋊D61—46no—
745C22⋊D61—46no—
746C2×Dic61—26no—
747C2×Dic61—46no—
748C2×Dic61—46no—
749C2×Dic61—43no—
750C2×Dic61C2513yes—
751C2×Dic61C2516yes—
752C2×Dic61C2516yes—
753C2×Dic61C2513yes—
754D244—212no—
755D244—212no—
756D244—43no—
757D244—43no—
758D244—46no—
759D244—43no—
760D244—43no—
761D244—46no—
762D244—46no—
763D244—43no—
764C4×D61—26no—
765C4×D61—26no—
766C4×D61—26no—
767C4×D61—26no—
768C4×D61—212no—
769C4×D61—212no—
770C4×D61—46no—
771C4×D61—46no—
772C4×D61—46no—
773C4×D61—46no—
774C4×D61—46no—
775Dic122—46no—
776Dic122—43no—
777C2×#3532—611nomaximal, Sylow
778C22×C61—26no—
779C22×C61—26no—
780C22×C61—23no—
781C22×C61—26no—
782C22×C61—23no—
783C22×C61—23no—
784C22×C61—26no—
785C22×C61—23no—
786C22×C61—412no—
787C22×C61—412no—
788C22×C61—44no—
789C22×C61—86no—
790C22×C61—82no—
791C22×C61C2×H(5,𝔽2)16yes—
792C22×C61C2611yescharacteristic
793C2×D61—26no—
794C2×D61—224no—
795C2×D61—26no—
796C2×D61—23no—
797C2×D61—26no—
798C2×D61—23no—
799C2×D61—23no—
800C2×D61—23no—
801C2×D61—26no—
802C2×D61—412no—
803C2×D61—424no—
804C2×D61—412no—
805C2×D61—412no—
806C2×D61—412no—
807C2×D61—412no—
808C2×D61—412no—
809C2×D61—44no—
810C2×D61—412no—
811C2×D61—412no—
812C2×D61—86no—
813C2×D61—86no—
814C2×D61—86no—
815C2×D61—86no—
816C2×D61C2×H(5,𝔽2)16yes—
817C2×D61C2×H(5,𝔽2)16yes—
818C4×C61—23no—
819C4×C61—26no—
820C4×C61—23no—
821C4×C61—26no—
822Dic61—23no—
823Dic61—26no—
824Dic61—23no—
825Dic61—26no—
826#3532—611no—
827#3532—613no—
828#3532—613no—
829#3532—616no—
830#3532—613no—
831#3532—616no—
832#3532—613no—
833#3532—613no—
834#3532—613no—
835#3532D6111yescharacteristic, direct product factor
836C2×H(3,𝔽4)—611no—
837C2×#560—613no—
838C2×#551—613no—
839C2×#546—616no—
840C2×D42—613no—
841C2×#538—616no—
842C2×#535—613no—
843C2×#534—613no—
844C22×#120—613no—
845C2×C61—26no—
846C2×C61—43no—
847C2×C61—41no—
848C2×C61—43no—
849C2×C61—43no—
850C2×C61C22×H(5,𝔽2)13yes—
851D61—26no—
852D61—43no—
853D61—41no—
854D61—43no—
855D61—43no—
856D61#353214yesdirect product factor
857C26—611no—
858C22×#41—613no—
859C23×D4—613no—
860C23×D4—616no—
861C23×D4—613no—
862H(3,𝔽4)—616no—
863H(3,𝔽4)—613no—
864H(3,𝔽4)—613no—
865H(3,𝔽4)—613no—
866H(3,𝔽4)C2×D6111yescharacteristic, complemented
867#560—613no—
868#560—616no—
869#560—616no—
870#560—613no—
871#560—616no—
872#560—616no—
873#560—616no—
874#560—613no—
875#560—616no—
876#560C2×D6113yescomplemented
877#551—616no—
878#551—613no—
879#551—616no—
880#551—613no—
881#551—616no—
882#551—613no—
883#551—616no—
884#551—616no—
885#551—616no—
886#551C2×D6113yescomplemented
887#546—616no—
888#546—616no—
889#546—616no—
890#546—616no—
891#546—616no—
892#546—616no—
893#546—616no—
894#546—616no—
895#546—616no—
896#546—616no—
897#546—616no—
898#546—616no—
899#546—616no—
900#546—616no—
901#546—616no—
902#546C2×D6116yescomplemented
903D42—616no—
904D42—616no—
905D42—613no—
906D42—616no—
907D42—616no—
908D42—613no—
909D42—616no—
910D42—613no—
911D42—616no—
912D42C2×D6113yescomplemented
913#538—616no—
914#538—616no—
915#538—616no—
916#538—616no—
917#538—616no—
918#538—616no—
919#538—616no—
920#538—616no—
921#538—616no—
922#538—616no—
923#538—616no—
924#538—616no—
925#538—616no—
926#538—616no—
927#538—616no—
928#538C2×D6116yescomplemented
929#535—613no—
930#535—613no—
931#535—613no—
932#535—613no—
933#535—613no—
934#535—613no—
935#535—616no—
936#535—616no—
937#535—616no—
938#535—616no—
939#535—613no—
940#535C2×D6113yescomplemented
941#534—613no—
942#534—613no—
943#534—616no—
944#534—613no—
945#534—613no—
946#534—616no—
947#534—616no—
948#534—616no—
949#534—613no—
950#534—613no—
951#534—613no—
952#534C2×D6113yescomplemented
953C2×#127—611no—
954C2×#127—613no—
955C2×#126—612no—
956C2×#126—616no—
957C2×#124—613no—
958C2×#124—613no—
959C2×#124—616no—
960C2×#123—613no—
961C2×#123—616no—
962C2×#123—613no—
963C2×#123—616no—
964C2×C22⋊Q8—616no—
965C2×#121—616no—
966C2×#121—616no—
967C2×#121—616no—
968C2×#121—616no—
969C2×#121—616no—
970C2×#120—613no—
971C2×#120—613no—
972C2×#120—616no—
973C2×#120—613no—
974C2×#120—613no—
975C2×#120—616no—
976C2×#120—616no—
977C2×#120—613no—
978C2×#120—613no—
979C2×#120—613no—
980C2×#120—616no—
981C2×#120—616no—
982C2×#120—613no—
983C2×#120—613no—
984C2×#120—613no—
985C2×#120—611no—
986C2×#120—613no—
987C2×#120—616no—
988C2×#120—616no—
989C2×#120—613no—
990C2×#120C2×D6113yescomplemented
991C2×C4×D4—616no—
992C2×C4×D4—616no—
993C2×#117—613no—
994C22×C22⋊C4—613no—
995C22×C22⋊C4—616no—
996C22×C22⋊C4—613no—
997C61C2×#353211yescharacteristic, complemented, Sylow
998C25—613no—
999C25—613no—
1000C25—613no—
1001C25—611no—
1002C25—611no—
1003C25—613no—
1004C25—613no—
1005C25—611no—
1006C25—24412no—
1007C25C22×D6111yescharacteristic, complemented
1008C2×#41—613no—
1009C2×#41—616no—
1010C2×#41—613no—
1011C2×#41—613no—
1012C2×#41—616no—
1013C2×#41—24412no—
1014C2×#41C22×D6113yescomplemented
1015C22×Q8—613no—
1016C22×D4—613no—
1017C22×D4—613no—
1018C22×D4—616no—
1019C22×D4—616no—
1020C22×D4—613no—
1021C22×D4—613no—
1022C22×D4—616no—
1023C22×D4—616no—
1024C22×D4—613no—
1025C22×D4—616no—
1026C22×D4—613no—
1027C22×D4—613no—
1028C22×D4—616no—
1029C22×D4—613no—
1030C22×D4—613no—
1031C22×D4—613no—
1032C22×D4—613no—
1033C22×D4—613no—
1034C22×D4—616no—
1035C22×D4—616no—
1036C22×D4—616no—
1037C22×D4—616no—
1038C22×D4—616no—
1039C22×D4—613no—
1040C22×D4—616no—
1041C22×D4—616no—
1042C22×D4—613no—
1043C22×D4—616no—
1044C22×D4—613no—
1045C22×D4—24412no—
1046C22×D4—24412no—
1047C22×D4—24424no—
1048C22×D4C22×D6113yescomplemented
1049C22×D4C22×D6116yescomplemented
1050C22×D4C22×D6113yescomplemented
1051C23×C4—613no—
1052C23×C4—616no—
1053C23×C4—616no—
1054C23×C4—613no—
1055#127—613no—
1056#127—616no—
1057#127—613no—
1058#127—613no—
1059#127—616no—
1060#127—613no—
1061#127—611no—
1062#127—613no—
1063#127C22×D6111yescharacteristic, complemented
1064#127C22×D6113yescomplemented
1065#126—616no—
1066#126—616no—
1067#126—616no—
1068#126—616no—
1069#126—616no—
1070#126—616no—
1071#126—616no—
1072#126—616no—
1073#126—612no—
1074#126—616no—
1075#126C22×D6112yescomplemented
1076#126C22×D6116yescomplemented
1077#124—613no—
1078#124—613no—
1079#124—616no—
1080#124—613no—
1081#124—613no—
1082#124—616no—
1083#124—616no—
1084#124—616no—
1085#124—616no—
1086#124—616no—
1087#124—616no—
1088#124—616no—
1089#124—616no—
1090#124—616no—
1091#124—613no—
1092#124—613no—
1093#124—616no—
1094#124C22×D6113yescomplemented
1095#124C22×D6113yescomplemented
1096#124C22×D6116yescomplemented
1097#123—613no—
1098#123—616no—
1099#123—613no—
1100#123—616no—
1101#123—616no—
1102#123—613no—
1103#123—613no—
1104#123—616no—
1105#123—616no—
1106#123—616no—
1107#123—616no—
1108#123—616no—
1109#123—616no—
1110#123—616no—
1111#123—616no—
1112#123—616no—
1113#123—616no—
1114#123—616no—
1115#123—616no—
1116#123—613no—
1117#123—616no—
1118#123—616no—
1119#123—613no—
1120#123—616no—
1121#123C22×D6113yescomplemented
1122#123C22×D6113yescomplemented
1123#123C22×D6116yescomplemented
1124#123C22×D6116yescomplemented
1125C22⋊Q8—616no—
1126C22⋊Q8—616no—
1127C22⋊Q8—616no—
1128C22⋊Q8—616no—
1129C22⋊Q8—616no—
1130C22⋊Q8—616no—
1131C22⋊Q8—616no—
1132C22⋊Q8C22×D6116yescomplemented
1133#121—616no—
1134#121—616no—
1135#121—616no—
1136#121—616no—
1137#121—616no—
1138#121—616no—
1139#121—616no—
1140#121—616no—
1141#121—616no—
1142#121—616no—
1143#121—616no—
1144#121—616no—
1145#121—616no—
1146#121—616no—
1147#121—616no—
1148#121—616no—
1149#121—616no—
1150#121—616no—
1151#121—616no—
1152#121—616no—
1153#121—616no—
1154#121—616no—
1155#121—616no—
1156#121—616no—
1157#121—616no—
1158#121—616no—
1159#121—616no—
1160#121—616no—
1161#121—616no—
1162#121—616no—
1163#121—616no—
1164#121—616no—
1165#121—616no—
1166#121—616no—
1167#121—616no—
1168#121C22×D6116yescomplemented
1169#121C22×D6116yescomplemented
1170#121C22×D6116yescomplemented
1171#121C22×D6116yescomplemented
1172#121C22×D6116yescomplemented
1173#120—616no—
1174#120—616no—
1175#120—613no—
1176#120—613no—
1177#120—613no—
1178#120—613no—
1179#120—616no—
1180#120—611no—
1181#120—613no—
1182#120—616no—
1183#120—616no—
1184#120—616no—
1185#120—616no—
1186#120—616no—
1187#120—616no—
1188#120—616no—
1189#120—613no—
1190#120—616no—
1191#120—613no—
1192#120—613no—
1193#120—616no—
1194#120—616no—
1195#120—613no—
1196#120—613no—
1197#120—613no—
1198#120—616no—
1199#120—616no—
1200#120—616no—
1201#120—616no—
1202#120—616no—
1203#120—616no—
1204#120—616no—
1205#120—616no—
1206#120—616no—
1207#120—616no—
1208#120—613no—
1209#120—616no—
1210#120—613no—
1211#120—616no—
1212#120—616no—
1213#120—613no—
1214#120—613no—
1215#120—616no—
1216#120—616no—
1217#120—613no—
1218#120—616no—
1219#120—613no—
1220#120—616no—
1221#120—616no—
1222#120C22×D6113yes—
1223#120C22×D6116yescomplemented
1224#120C22×D6116yescomplemented
1225#120C22×D6113yescomplemented
1226#120C22×D6113yescomplemented
1227#120C22×D6113yescomplemented
1228#120C22×D6116yescomplemented
1229#120C22×D6111yescharacteristic, complemented
1230#120C22×D6113yescomplemented
1231C4×D4—616no—
1232C4×D4—616no—
1233C4×D4—616no—
1234C4×D4—616no—
1235C4×D4—616no—
1236C4×D4—616no—
1237C4×D4—616no—
1238C4×D4—616no—
1239C4×D4—616no—
1240C4×D4—616no—
1241C4×D4—616no—
1242C4×D4—616no—
1243C4×D4—616no—
1244C4×D4—616no—
1245C4×D4C22×D6116yescomplemented
1246C4×D4C22×D6116yescomplemented
1247#117—613no—
1248#117—616no—
1249#117—616no—
1250#117—613no—
1251#117—613no—
1252#117C22×D6113yescomplemented
1253C2×C4⋊C4—616no—
1254C2×C4⋊C4—616no—
1255C2×C4⋊C4—616no—
1256C2×C22⋊C4—613no—
1257C2×C22⋊C4—616no—
1258C2×C22⋊C4—613no—
1259C2×C22⋊C4—616no—
1260C2×C22⋊C4—616no—
1261C2×C22⋊C4—616no—
1262C2×C22⋊C4—616no—
1263C2×C22⋊C4—616no—
1264C2×C22⋊C4—616no—
1265C2×C22⋊C4—613no—
1266C2×C22⋊C4—616no—
1267C2×C22⋊C4—616no—
1268C2×C22⋊C4—616no—
1269C2×C22⋊C4—613no—
1270C2×C22⋊C4—613no—
1271C2×C22⋊C4—616no—
1272C2×C22⋊C4—613no—
1273C2×C22⋊C4—616no—
1274C2×C22⋊C4—616no—
1275C2×C22⋊C4—616no—
1276C2×C22⋊C4—616no—
1277C2×C22⋊C4—616no—
1278C2×C22⋊C4—613no—
1279C2×C22⋊C4—613no—
1280C2×C22⋊C4—613no—
1281C2×C22⋊C4—613no—
1282C2×C22⋊C4—616no—
1283C2×C22⋊C4—616no—
1284C2×C22⋊C4C22×D6113yescomplemented
1285C2×C22⋊C4C22×D6116yescomplemented
1286C2×C22⋊C4C22×D6113yescomplemented
1287C2×C42—611no—
1288C2×C42—613no—
1289C2×C42—612no—
1290C24—46no—
1291C24—613no—
1292C24—613no—
1293C24—611no—
1294C24—613no—
1295C24—613no—
1296C24—613no—
1297C24—616no—
1298C24—613no—
1299C24—613no—
1300C24—613no—
1301C24—613no—
1302C24—613no—
1303C24—613no—
1304C24—613no—
1305C24—613no—
1306C24—12212no—
1307C24—12224no—
1308C24—12212no—
1309C24—24412no—
1310C24—2446no—
1311C24—24412no—
1312C24—2446no—
1313C24—2446no—
1314C24—24412no—
1315C24—2446no—
1316C24—2446no—
1317C24—24412no—
1318C24—2446no—
1319C24—24464no—
1320C24C23×D6113yes—
1321C24C23×D6113yes—
1322C24C23×D6113yes—
1323C24C23×D6111yescharacteristic
1324C24C23×D6111yescharacteristic, complemented
1325#41—46no—
1326#41—2446no—
1327#41—24412no—
1328#41—24412no—
1329#41—2446no—
1330#41—2446no—
1331C2×Q8—616no—
1332C2×Q8—613no—
1333C2×Q8—2446no—
1334C2×Q8C23×D6113yescomplemented
1335C2×D4—46no—
1336C2×D4—412no—
1337C2×D4—46no—
1338C2×D4—616no—
1339C2×D4—616no—
1340C2×D4—616no—
1341C2×D4—616no—
1342C2×D4—613no—
1343C2×D4—613no—
1344C2×D4—616no—
1345C2×D4—616no—
1346C2×D4—613no—
1347C2×D4—613no—
1348C2×D4—613no—
1349C2×D4—613no—
1350C2×D4—616no—
1351C2×D4—616no—
1352C2×D4—613no—
1353C2×D4—613no—
1354C2×D4—616no—
1355C2×D4—616no—
1356C2×D4—616no—
1357C2×D4—616no—
1358C2×D4—616no—
1359C2×D4—613no—
1360C2×D4—616no—
1361C2×D4—613no—
1362C2×D4—613no—
1363C2×D4—616no—
1364C2×D4—613no—
1365C2×D4—613no—
1366C2×D4—616no—
1367C2×D4—12224no—
1368C2×D4—12224no—
1369C2×D4—2446no—
1370C2×D4—24412no—
1371C2×D4—2446no—
1372C2×D4—2446no—
1373C2×D4—2446no—
1374C2×D4—2446no—
1375C2×D4—2446no—
1376C2×D4—2446no—
1377C2×D4—2446no—
1378C2×D4—2446no—
1379C2×D4—2446no—
1380C2×D4—24412no—
1381C2×D4—24412no—
1382C2×D4—24412no—
1383C2×D4—2446no—
1384C2×D4—2446no—
1385C2×D4—2446no—
1386C2×D4—24412no—
1387C2×D4—24412no—
1388C2×D4—24412no—
1389C2×D4—24412no—
1390C2×D4—24412no—
1391C2×D4—24412no—
1392C2×D4—2446no—
1393C2×D4—24412no—
1394C2×D4—2446no—
1395C2×D4—24412no—
1396C2×D4C23×D6116yes—
1397C2×D4C23×D6116yes—
1398C2×D4C23×D6113yes—
1399C2×D4C23×D6113yes—
1400C2×D4C23×D6116yes—
1401C2×D4C23×D6113yes—
1402C2×D4C23×D6116yes—
1403C2×D4C23×D6113yes—
1404C2×D4C23×D6113yescomplemented
1405C2×D4C23×D6116yescomplemented
1406C22×C4—613no—
1407C22×C4—616no—
1408C22×C4—616no—
1409C22×C4—613no—
1410C22×C4—613no—
1411C22×C4—616no—
1412C22×C4—616no—
1413C22×C4—613no—
1414C22×C4—613no—
1415C22×C4—613no—
1416C22×C4—616no—
1417C22×C4—616no—
1418C22×C4—616no—
1419C22×C4—616no—
1420C22×C4—616no—
1421C22×C4—12212no—
1422C22×C4—24412no—
1423C22×C4—2446no—
1424C22×C4—24412no—
1425C22×C4C23×D6113yes—
1426C22×C4C23×D6116yes—
1427C22×C4C23×D6116yescomplemented
1428C22×C4C23×D6113yescomplemented
1429C4⋊C4—616no—
1430C4⋊C4—616no—
1431C4⋊C4—616no—
1432C4⋊C4—616no—
1433C4⋊C4—616no—
1434C4⋊C4—616no—
1435C4⋊C4—616no—
1436C4⋊C4—616no—
1437C4⋊C4—616no—
1438C4⋊C4C23×D6116yescomplemented
1439C4⋊C4C23×D6116yescomplemented
1440C4⋊C4C23×D6116yescomplemented
1441C22⋊C4—616no—
1442C22⋊C4—616no—
1443C22⋊C4—613no—
1444C22⋊C4—616no—
1445C22⋊C4—616no—
1446C22⋊C4—616no—
1447C22⋊C4—613no—
1448C22⋊C4—613no—
1449C22⋊C4—613no—
1450C22⋊C4—616no—
1451C22⋊C4—616no—
1452C22⋊C4—616no—
1453C22⋊C4—616no—
1454C22⋊C4—616no—
1455C22⋊C4—616no—
1456C22⋊C4—616no—
1457C22⋊C4—616no—
1458C22⋊C4—616no—
1459C22⋊C4—616no—
1460C22⋊C4—616no—
1461C22⋊C4—616no—
1462C22⋊C4—616no—
1463C22⋊C4—616no—
1464C22⋊C4—616no—
1465C22⋊C4—616no—
1466C22⋊C4—616no—
1467C22⋊C4—616no—
1468C22⋊C4—616no—
1469C22⋊C4—616no—
1470C22⋊C4C23×D6116yes—
1471C22⋊C4C23×D6116yes—
1472C22⋊C4C23×D6113yes—
1473C22⋊C4C23×D6116yes—
1474C22⋊C4C23×D6116yes—
1475C22⋊C4C23×D6116yes—
1476C22⋊C4C23×D6113yes—
1477C22⋊C4C23×D6113yescomplemented
1478C22⋊C4C23×D6113yescomplemented
1479C22⋊C4C23×D6116yescomplemented
1480C22⋊C4C23×D6116yescomplemented
1481C42—613no—
1482C42—616no—
1483C42—613no—
1484C42—616no—
1485C42C23×D6111yescharacteristic, complemented
1486C42C23×D6113yescomplemented
1487C42C23×D6112yescomplemented
1488C23—212no—
1489C23—26no—
1490C23—26no—
1491C23—43no—
1492C23—46no—
1493C23—43no—
1494C23—46no—
1495C23—43no—
1496C23—416no—
1497C23—611no—
1498C23—6112no—
1499C23—613no—
1500C23—613no—
1501C23—611no—
1502C23—613no—
1503C23—613no—
1504C23—12212no—
1505C23—1226no—
1506C23—1226no—
1507C23—12212no—
1508C23—1226no—
1509C23—12212no—
1510C23—1226no—
1511C23—12212no—
1512C23—1226no—
1513C23—12212no—
1514C23—1226no—
1515C23—12212no—
1516C23—1226no—
1517C23—1226no—
1518C23—1226no—
1519C23—12212no—
1520C23—1226no—
1521C23—48824no—
1522C23—4888no—
1523C23—2446no—
1524C23—2446no—
1525C23—2443no—
1526C23—2446no—
1527C23—2446no—
1528C23—2446no—
1529C23—2446no—
1530C23—2443no—
1531C23—2446no—
1532C23—2446no—
1533C23—2443no—
1534C23—2446no—
1535C23—24448no—
1536C23—24448no—
1537C23—24448no—
1538C23—24448no—
1539C23—24416no—
1540C23—24416no—
1541C23C24×D6113yes—
1542C23C24×D6111yescharacteristic
1543C23C24×D6113yes—
1544C23C24×D6113yes—
1545C23C24×D6113yes—
1546Q8—43no—
1547Q8—2443no—
1548Q8—2446no—
1549D4—212no—
1550D4—212no—
1551D4—43no—
1552D4—43no—
1553D4—43no—
1554D4—43no—
1555D4—46no—
1556D4—46no—
1557D4—46no—
1558D4—43no—
1559D4—12212no—
1560D4—12212no—
1561D4—12212no—
1562D4—12212no—
1563D4—12212no—
1564D4—12212no—
1565D4—2443no—
1566D4—2443no—
1567D4—2443no—
1568D4—2443no—
1569D4—2446no—
1570D4—2446no—
1571D4—2446no—
1572D4—2443no—
1573D4—2443no—
1574D4—2443no—
1575D4—2443no—
1576D4—2443no—
1577D4—2443no—
1578D4—2443no—
1579D4—2443no—
1580D4—2443no—
1581D4—2446no—
1582D4—2446no—
1583D4—2446no—
1584D4—2446no—
1585D4—2446no—
1586D4—2446no—
1587D4—2446no—
1588C2×C4—26no—
1589C2×C4—46no—
1590C2×C4—43no—
1591C2×C4—46no—
1592C2×C4—613no—
1593C2×C4—616no—
1594C2×C4—616no—
1595C2×C4—613no—
1596C2×C4—1226no—
1597C2×C4—1226no—
1598C2×C4—1226no—
1599C2×C4—1226no—
1600C2×C4—12212no—
1601C2×C4—12212no—
1602C2×C4—1226no—
1603C2×C4—2446no—
1604C2×C4—2446no—
1605C2×C4—2446no—
1606C2×C4—2446no—
1607C2×C4—2446no—
1608C2×C4—2443no—
1609C2×C4—2446no—
1610C2×C4—2446no—
1611C2×C4C24×D6113yes—
1612C2×C4C24×D6116yes—
1613C2×C4C24×D6116yes—
1614C2×C4C24×D6113yes—
1615C22—26no—
1616C22—26no—
1617C22—23no—
1618C22—26no—
1619C22—23no—
1620C22—23no—
1621C22—26no—
1622C22—23no—
1623C22—412no—
1624C22—412no—
1625C22—44no—
1626C22—86no—
1627C22—82no—
1628C22—616no—
1629C22—616no—
1630C22—12224no—
1631C22—1226no—
1632C22—1226no—
1633C22—1223no—
1634C22—1226no—
1635C22—1223no—
1636C22—1223no—
1637C22—1226no—
1638C22—1223no—
1639C22—4886no—
1640C22—4886no—
1641C22—4886no—
1642C22—4886no—
1643C22—24424no—
1644C22—24412no—
1645C22—24412no—
1646C22—24412no—
1647C22—24412no—
1648C22—2444no—
1649C22—24412no—
1650C22—24412no—
1651C22—24412no—
1652C22—24412no—
1653C22H(5,𝔽2)×D6116yes—
1654C22C25×D6111yescharacteristic
1655C4—23no—
1656C4—23no—
1657C4—26no—
1658C4—26no—
1659C4—1223no—
1660C4—1223no—
1661C4—1226no—
1662C4—1226no—
1663C2—26no—
1664C2—43no—
1665C2—41no—
1666C2—43no—
1667C2—43no—
1668C2—614no—
1669C2—1226no—
1670C2—2443no—
1671C2—2443no—
1672C2—2443no—
1673C2—2441no—
1674C2C2×H(5,𝔽2)×D6113yes—
subgroupG/H
center, FrattiniC22C25×D61
commutator, socle, cosocleC22×C61C26
FittingC61×#3532C2
hypercenter#3532D61
hypocenterC61C2×#3532
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ #3532

Complements

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

NH ≅ G/Ntype
1. #21459976C2semidirect
2. #21459975C2semidirect
3. #21459974C2semidirect
4. #21459973C2semidirect
5. #21459972C2semidirect
6. #21459971C2semidirect
7. #21459970C2semidirect
8. #21459969C2semidirect
9. #21459968C2semidirect
10. H(3,𝔽4)×D61C2semidirect
11. #560×D61C2semidirect
12. #551×D61C2semidirect
13. #546×D61C2semidirect
14. D42×D61C2semidirect
15. #538×D61C2semidirect
16. #535×D61C2semidirect
17. #534×D61C2semidirect
18. C2×#120×D61C2semidirect
19. C61×#3532C2semidirect
20. C25×D61C22semidirect
21. C2×#41×D61C22semidirect
22. C22×D4×D61C22semidirect
23. C22×D4×D61C22semidirect
24. C22×D4×D61C22semidirect
25. #16840505C22semidirect
26. #16840505C22semidirect
27. #16840504C22semidirect
28. #16840504C22semidirect
29. #16840503C22semidirect
30. #16840502C22semidirect
31. #16840502C22semidirect
32. #16840501C22semidirect
33. #16840501C22semidirect
34. #16840500C22semidirect
35. #16840500C22semidirect
36. #16840500C22semidirect
37. #16840499C22semidirect
38. #16840443C22semidirect
39. #16840442C22semidirect
40. #16840441C22semidirect
41. #16840440C22semidirect
42. #16840439C22semidirect
43. #16840438C22semidirect
44. #16840437C22semidirect
45. #16840436C22semidirect
46. #16840435C22semidirect
47. #16840409C22semidirect
48. #16840408C22semidirect
49. #16840407C22semidirect
50. #16840406C22semidirect
51. #16840405C22semidirect
52. #16840404C22semidirect
53. #16840404C22semidirect
54. #16840403C22semidirect
55. #16840402C22semidirect
56. #16840402C22semidirect
57. #16840401C22semidirect
58. #16840401C22semidirect
59. #16840400C22semidirect
60. #16840399C22semidirect
61. #16840399C22semidirect
62. D4×D244C22semidirect
63. #16840397C22semidirect
64. #16840396C22semidirect
65. #16840396C22semidirect
66. D4×C22⋊D61C22semidirect
67. D4×C22⋊D61C22semidirect
68. #16840394C22semidirect
69. #16840394C22semidirect
70. #16840394C22semidirect
71. #16840352C22semidirect
72. #16840351C22semidirect
73. #16840351C22semidirect
74. #16840350C22semidirect
75. #16840349C22semidirect
76. #16840348C22semidirect
77. #16840348C22semidirect
78. #16840347C22semidirect
79. #16840347C22semidirect
80. #16840346C22semidirect
81. #16840346C22semidirect
82. #16840345C22semidirect
83. #16840345C22semidirect
84. #16840344C22semidirect
85. #16840344C22semidirect
86. #16840331C22semidirect
87. #16840330C22semidirect
88. #16840330C22semidirect
89. #16840329C22semidirect
90. #16840328C22semidirect
91. #16840328C22semidirect
92. #16840327C22semidirect
93. #16840327C22semidirect
94. #16840326C22semidirect
95. #16840325C22semidirect
96. #16840325C22semidirect
97. #16840324C22semidirect
98. #16840323C22semidirect
99. #16840323C22semidirect
100. #16840323C22semidirect
101. #16840322C22semidirect
102. #16840322C22semidirect
103. #16840322C22semidirect
104. #16840321C22semidirect
105. #16840321C22semidirect
106. #16840320C22semidirect
107. #16840320C22semidirect
108. #127×D61C22semidirect
109. #127×D61C22semidirect
110. #126×D61C22semidirect
111. #126×D61C22semidirect
112. #124×D61C22semidirect
113. #124×D61C22semidirect
114. #124×D61C22semidirect
115. #123×D61C22semidirect
116. #123×D61C22semidirect
117. #123×D61C22semidirect
118. #123×D61C22semidirect
119. C22⋊Q8×D61C22semidirect
120. #121×D61C22semidirect
121. #121×D61C22semidirect
122. #121×D61C22semidirect
123. #121×D61C22semidirect
124. #121×D61C22semidirect
125. C2×#14519747C22semidirect
126. C2×#14519747C22semidirect
127. C2×#14519746C22semidirect
128. C2×#14519745C22semidirect
129. C2×#14519745C22semidirect
131. #120×D61C22semidirect
132. #120×D61C22semidirect
133. #120×D61C22semidirect
134. #120×D61C22semidirect
135. #120×D61C22semidirect
136. #120×D61C22semidirect
137. #120×D61C22semidirect
138. #120×D61C22semidirect
139. #120×D61C22semidirect
140. #120×D61C22semidirect
141. #120×D61C22semidirect
142. #120×D61C22semidirect
143. #120×D61C22semidirect
144. #120×D61C22semidirect
145. C4×D4×D61C22semidirect
146. C4×D4×D61C22semidirect
147. #117×D61C22semidirect
148. C2×C22⋊C4×D61C22semidirect
149. C2×C22⋊C4×D61C22semidirect
150. C2×C22⋊C4×D61C22semidirect
151. C61×H(3,𝔽4)C22semidirect
152. C61×#560C22semidirect
153. C61×#551C22semidirect
154. C61×#546C22semidirect
155. D42×C61C22semidirect
156. C61×#538C22semidirect
157. C61×#535C22semidirect
158. C61×#534C22semidirect
159. C2×#120×C61C22semidirect
165. C24×D61C23semidirect
166. C24×D61C23semidirect
167. C24×D61C23semidirect
168. C24×D61C23semidirect
169. C2×#11758226C23semidirect
170. C2×#11758222C23semidirect
171. C2×#11758222C23semidirect
172. C2×#11758224C23semidirect
173. C2×#11758224C23semidirect
175. C2×Q8×D61C23semidirect
176. C22×D244C23semidirect
177. C22×D244C23semidirect
178. C22×D244C23semidirect
179. C22×C22⋊D61C23semidirect
180. C22×C22⋊D61C23semidirect
181. C22×C22⋊D61C23semidirect
182. C22×C22⋊D61C23semidirect
183. C22×C22⋊D61C23semidirect
184. C22×C22⋊D61C23semidirect
196. C2×D4×D61C23semidirect
197. C2×D4×D61C23semidirect
198. C2×D4×D61C23semidirect
199. C2×D4×D61C23semidirect
200. C2×D4×D61C23semidirect
201. C2×D4×D61C23semidirect
202. C2×D4×D61C23semidirect
203. C2×D4×D61C23semidirect
204. C2×D4×D61C23semidirect
205. C2×D4×D61C23semidirect
206. C2×D4×D61C23semidirect
207. C2×D4×D61C23semidirect
210. C22×C4×D61C23semidirect
211. C22×C4×D61C23semidirect
212. #14519774C23semidirect
213. #14519774C23semidirect
214. #14519773C23semidirect
215. #14519773C23semidirect
216. #14519773C23semidirect
217. #14519773C23semidirect
218. #14519773C23semidirect
219. #14519773C23semidirect
220. #14519772C23semidirect
221. #14519772C23semidirect
222. #14519772C23semidirect
223. #14519772C23semidirect
224. #14519771C23semidirect
225. #14519771C23semidirect
226. #14519770C23semidirect
227. #14519770C23semidirect
228. #14519770C23semidirect
229. #14519770C23semidirect
230. #14519766C23semidirect
231. #14519766C23semidirect
232. #14519766C23semidirect
233. #14519765C23semidirect
234. #14519765C23semidirect
235. #14519765C23semidirect
236. #14519764C23semidirect
237. #14519764C23semidirect
238. #14519764C23semidirect
239. #14519763C23semidirect
240. #14519763C23semidirect
241. #14519763C23semidirect
242. #14519763C23semidirect
243. #14519763C23semidirect
244. #14519763C23semidirect
245. #14519763C23semidirect
246. #14519763C23semidirect
247. #14519762C23semidirect
248. #14519762C23semidirect
249. #14519762C23semidirect
250. #14519762C23semidirect
251. #14519762C23semidirect
252. #14519762C23semidirect
253. #14519761C23semidirect
254. #14519761C23semidirect
255. #14519761C23semidirect
256. #14519761C23semidirect
257. #14519760C23semidirect
258. #14519760C23semidirect
259. #14519760C23semidirect
260. #14519760C23semidirect
261. #14519759C23semidirect
262. #14519759C23semidirect
263. #14519759C23semidirect
264. #14519759C23semidirect
265. #14519759C23semidirect
266. #14519759C23semidirect
267. #14519758C23semidirect
268. #14519758C23semidirect
269. #14519758C23semidirect
270. #14519758C23semidirect
271. #14519757C23semidirect
272. #14519756C23semidirect
273. #14519755C23semidirect
274. #14519755C23semidirect
275. #14519754C23semidirect
276. #14519754C23semidirect
277. #14519753C23semidirect
278. #14519752C23semidirect
279. #14519752C23semidirect
280. #14519752C23semidirect
281. #14519752C23semidirect
282. #14519752C23semidirect
283. #14519751C23semidirect
284. #14519751C23semidirect
285. #14519751C23semidirect
286. #14519751C23semidirect
287. #14519751C23semidirect
288. #14519750C23semidirect
289. #14519750C23semidirect
290. #14519750C23semidirect
291. #14519750C23semidirect
292. #14519750C23semidirect
293. #14519750C23semidirect
294. #14519750C23semidirect
295. #14519750C23semidirect
296. #14519750C23semidirect
297. #14519750C23semidirect
298. #14519749C23semidirect
299. #14519749C23semidirect
300. #14519749C23semidirect
301. #14519749C23semidirect
302. #14519749C23semidirect
303. #14519749C23semidirect
304. #14519749C23semidirect
305. #14519749C23semidirect
306. #14519749C23semidirect
307. #14519749C23semidirect
308. #14519748C23semidirect
309. #14519748C23semidirect
310. #14519748C23semidirect
311. #14519748C23semidirect
312. #14519748C23semidirect
315. #14519747C23semidirect
316. #14519747C23semidirect
317. #14519747C23semidirect
318. #14519747C23semidirect
319. #14519747C23semidirect
320. #14519747C23semidirect
321. #14519747C23semidirect
322. #14519747C23semidirect
323. #14519747C23semidirect
324. #14519747C23semidirect
325. #14519747C23semidirect
326. #14519747C23semidirect
327. #14519747C23semidirect
328. #14519747C23semidirect
329. #14519747C23semidirect
330. #14519747C23semidirect
331. #14519747C23semidirect
332. #14519747C23semidirect
334. #14519746C23semidirect
335. #14519746C23semidirect
336. #14519746C23semidirect
337. #14519746C23semidirect
338. #14519746C23semidirect
339. #14519746C23semidirect
340. #14519746C23semidirect
341. #14519746C23semidirect
344. #14519745C23semidirect
345. #14519745C23semidirect
346. #14519745C23semidirect
347. #14519745C23semidirect
348. #14519745C23semidirect
349. #14519745C23semidirect
350. #14519745C23semidirect
351. #14519745C23semidirect
352. #14519745C23semidirect
353. #14519745C23semidirect
354. #14519745C23semidirect
355. #14519745C23semidirect
356. #14519745C23semidirect
357. #14519745C23semidirect
358. #14519745C23semidirect
359. #14519745C23semidirect
360. #14519745C23semidirect
361. #14519745C23semidirect
362. C4×D244C23semidirect
363. C4×D244C23semidirect
364. D4×Dic61C23semidirect
365. D4×Dic61C23semidirect
366. #14519739C23semidirect
367. #14519739C23semidirect
368. C4×C22⋊D61C23semidirect
369. C4×C22⋊D61C23semidirect
370. C4×C22⋊D61C23semidirect
371. C4×C22⋊D61C23semidirect
372. #14519737C23semidirect
373. #14519737C23semidirect
374. #14519737C23semidirect
375. #14519737C23semidirect
376. #14519736C23semidirect
377. #14519735C23semidirect
378. #14519734C23semidirect
379. #14519734C23semidirect
380. #14519733C23semidirect
381. C4⋊C4×D61C23semidirect
382. C4⋊C4×D61C23semidirect
383. C4⋊C4×D61C23semidirect
384. C2×C22⋊Dic61C23semidirect
385. C2×C22⋊Dic61C23semidirect
386. C2×C22⋊Dic61C23semidirect
387. C2×#11758198C23semidirect
388. C2×#11758198C23semidirect
389. C2×#11758198C23semidirect
390. C2×#11758198C23semidirect
398. C22⋊C4×D61C23semidirect
399. C22⋊C4×D61C23semidirect
400. C22⋊C4×D61C23semidirect
401. C22⋊C4×D61C23semidirect
402. C22⋊C4×D61C23semidirect
403. C22⋊C4×D61C23semidirect
404. C22⋊C4×D61C23semidirect
405. C22⋊C4×D61C23semidirect
406. C22⋊C4×D61C23semidirect
407. C22⋊C4×D61C23semidirect
408. C22⋊C4×D61C23semidirect
409. C22⋊C4×D61C23semidirect
410. C22⋊C4×D61C23semidirect
411. C22⋊C4×D61C23semidirect
412. C42×D61C23semidirect
413. C42×D61C23semidirect
414. C42×D61C23semidirect
415. C25×C61C23semidirect
416. C2×#41×C61C23semidirect
417. C22×D4×C61C23semidirect
418. C22×D4×C61C23semidirect
419. C22×D4×C61C23semidirect
420. #127×C61C23semidirect
421. #127×C61C23semidirect
422. #126×C61C23semidirect
423. #126×C61C23semidirect
424. #124×C61C23semidirect
425. #124×C61C23semidirect
426. #124×C61C23semidirect
427. #123×C61C23semidirect
428. #123×C61C23semidirect
429. #123×C61C23semidirect
430. #123×C61C23semidirect
431. C22⋊Q8×C61C23semidirect
432. #121×C61C23semidirect
433. #121×C61C23semidirect
434. #121×C61C23semidirect
435. #121×C61C23semidirect
436. #121×C61C23semidirect
438. #120×C61C23semidirect
439. #120×C61C23semidirect
440. #120×C61C23semidirect
441. #120×C61C23semidirect
442. #120×C61C23semidirect
443. #120×C61C23semidirect
444. #120×C61C23semidirect
445. #120×C61C23semidirect
446. C4×D4×C61C23semidirect
447. C4×D4×C61C23semidirect
448. #117×C61C23semidirect
449. C2×C22⋊C4×C61C23semidirect
450. C2×C22⋊C4×C61C23semidirect
451. C2×C22⋊C4×C61C23semidirect
457. C24×C61C24semidirect
486. C23×D61C24semidirect
488. C2×Q8×C61C24semidirect
500. C2×D4×C61C24semidirect
501. C2×D4×C61C24semidirect
504. C22×C4×C61C24semidirect
505. C22×C4×C61C24semidirect
528. C2×C22⋊D61C24semidirect
529. C2×C22⋊D61C24semidirect
530. C2×C22⋊D61C24semidirect
533. C22×Dic61C24semidirect
534. C22×Dic61C24semidirect
572. C2×D244C24semidirect
573. C2×D244C24semidirect
586. C2×C4×D61C24semidirect
587. C2×C4×D61C24semidirect
588. C2×C4×D61C24semidirect
589. C2×Dic122C24semidirect
590. C2×Dic122C24semidirect
591. C4⋊C4×C61C24semidirect
592. C4⋊C4×C61C24semidirect
593. C4⋊C4×C61C24semidirect
601. C22⋊C4×C61C24semidirect
602. C22⋊C4×C61C24semidirect
603. C22⋊C4×C61C24semidirect
604. C22⋊C4×C61C24semidirect
605. C42×C61C24semidirect
606. C42×C61C24semidirect
607. C42×C61C24semidirect
615. C22⋊Dic61C24semidirect
616. C22⋊Dic61C24semidirect
617. C22⋊Dic61C24semidirect
618. C22⋊Dic61C24semidirect
631. #11758198C24semidirect
632. #11758198C24semidirect
633. #11758198C24semidirect
634. #11758198C24semidirect
635. #11758198C24semidirect
636. #11758198C24semidirect
637. C4⋊Dic61C24semidirect
638. C4⋊Dic61C24semidirect
639. C4⋊Dic61C24semidirect
640. #11758196C24semidirect
641. #11758196C24semidirect
642. #11758196C24semidirect
643. #11758196C24semidirect
644. #11758196C24semidirect
645. #11758196C24semidirect
646. C4×Dic61C24semidirect
647. C4×Dic61C24semidirect
648. C4×Dic61C24semidirect
649. C4×Dic61C24semidirect
835. #3532D61direct (N × H)
856. D61#3532direct (N × H)
866. H(3,𝔽4)C2×D61semidirect
876. #560C2×D61semidirect
886. #551C2×D61semidirect
902. #546C2×D61semidirect
912. D42C2×D61semidirect
928. #538C2×D61semidirect
940. #535C2×D61semidirect
952. #534C2×D61semidirect
990. C2×#120C2×D61semidirect
997. C61C2×#3532semidirect
1007. C25C22×D61semidirect
1014. C2×#41C22×D61semidirect
1048. C22×D4C22×D61semidirect
1049. C22×D4C22×D61semidirect
1050. C22×D4C22×D61semidirect
1063. #127C22×D61semidirect
1064. #127C22×D61semidirect
1075. #126C22×D61semidirect
1076. #126C22×D61semidirect
1094. #124C22×D61semidirect
1095. #124C22×D61semidirect
1096. #124C22×D61semidirect
1121. #123C22×D61semidirect
1122. #123C22×D61semidirect
1123. #123C22×D61semidirect
1124. #123C22×D61semidirect
1132. C22⋊Q8C22×D61semidirect
1168. #121C22×D61semidirect
1169. #121C22×D61semidirect
1170. #121C22×D61semidirect
1171. #121C22×D61semidirect
1172. #121C22×D61semidirect
1223. #120C22×D61semidirect
1224. #120C22×D61semidirect
1225. #120C22×D61semidirect
1226. #120C22×D61semidirect
1227. #120C22×D61semidirect
1228. #120C22×D61semidirect
1229. #120C22×D61semidirect
1230. #120C22×D61semidirect
1245. C4×D4C22×D61semidirect
1246. C4×D4C22×D61semidirect
1252. #117C22×D61semidirect
1284. C2×C22⋊C4C22×D61semidirect
1285. C2×C22⋊C4C22×D61semidirect
1286. C2×C22⋊C4C22×D61semidirect
1324. C24C23×D61semidirect
1334. C2×Q8C23×D61semidirect
1404. C2×D4C23×D61semidirect
1405. C2×D4C23×D61semidirect
1427. C22×C4C23×D61semidirect
1428. C22×C4C23×D61semidirect
1438. C4⋊C4C23×D61semidirect
1439. C4⋊C4C23×D61semidirect
1440. C4⋊C4C23×D61semidirect
1477. C22⋊C4C23×D61semidirect
1478. C22⋊C4C23×D61semidirect
1479. C22⋊C4C23×D61semidirect
1480. C22⋊C4C23×D61semidirect
1485. C42C23×D61semidirect
1486. C42C23×D61semidirect
1487. C42C23×D61semidirect

Maximal subgroups

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

subgroupindex
#214599762
#214599752
#214599742
#214599732
#214599722
#214599712
#214599702
#214599692
#214599682
H(3,𝔽4)×D612
#560×D612
#551×D612
#546×D612
D42×D612
#538×D612
#535×D612
#534×D612
C2×#120×D612
C61×#35322
C2×#353261