Finite Group Databasebeta

← #30573464

Subgroups — #30573464

Order 15616.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460403C211yesmaximal, characteristic, complemented
2#21459830C211yesmaximal, characteristic, complemented
3#21458898C211yesmaximal, characteristic, complemented
4#21458878C211yesmaximal, characteristic, complemented
5#21458637C211yesmaximal, characteristic, complemented
6#21458554C211yesmaximal, characteristic, complemented
7#21458001C211yesmaximal, characteristic, complemented
8#21457976C211yesmaximal, characteristic, complemented
9#21457892C211yesmaximal, characteristic, complemented
10#21457856C211yesmaximal, characteristic, complemented
11#21457761C211yesmaximal, characteristic, complemented
12#21457732C211yesmaximal, characteristic, complemented
13#21457555C211yesmaximal, characteristic, complemented
14#21457526C211yesmaximal, characteristic, complemented
15#21457399C211yesmaximal, characteristic, complemented
16#21457383C211yesmaximal, characteristic, complemented
17#21457368C211yesmaximal, characteristic, complemented
18#21457329C211yesmaximal, characteristic, complemented
19#21457247C211yesmaximal, characteristic, complemented
20#21457228C211yesmaximal, characteristic, complemented
21#21457153C211yesmaximal, characteristic, complemented
22#21456933C211yesmaximal, characteristic, complemented
23#21456913C211yesmaximal, characteristic, complemented
24#21456828C211yesmaximal, characteristic, complemented
25#21456119C211yesmaximal, characteristic, complemented
26#21456108C211yesmaximal, characteristic, complemented
27#21455927C211yesmaximal, characteristic, complemented
28#21455347C211yesmaximal, characteristic, complemented
29#21455269C211yesmaximal, characteristic, complemented
30#21454956C211yesmaximal, characteristic, complemented
31C61×#3043C211yesmaximal, characteristic, complemented
32C2×#14519806C2211yescharacteristic
33C2×#14519798C2211yescharacteristic
34C2×#14519798C2211yescharacteristic, complemented
35C2×Q16×D61C2211yescharacteristic, complemented
36#16840507—21no—
37#16840501—21no—
38#16840498C2211yescharacteristic
39Q8×Dic122C2211yescharacteristic, complemented
40#16840485—21no—
41#16840485C2211yescharacteristic, complemented
42#16840484—21no—
43#16840484C2211yescharacteristic, complemented
44#16840481C2211yescharacteristic
45#16840480—21no—
46#16840480C2211yescharacteristic
47#16840475—21no—
48#16840475C2211yescharacteristic
49#16840455—21no—
50#16840443—21no—
51#16840432C2211yescharacteristic
52Q8×C22⋊D61C2211yescharacteristic
53#16840424C2211yescharacteristic, complemented
54#16840423C2211yescharacteristic
55#16840420C2211yescharacteristic
56#16840419C2211yescharacteristic
57#16840411C2211yescharacteristic
58#16840406C2211yescharacteristic
59#16840406C2211yescharacteristic
60#16840384—21no—
61#16840384C2211yescharacteristic, complemented
62#16840383—21no—
63#16840383C2211yescharacteristic
64#16840374C2211yescharacteristic
65#16840366C2211yescharacteristic
66#16840362—21no—
67#16840357—21no—
68#16840347—21no—
69#16840347—21no—
70#16840332C2211yescharacteristic
71#16840316—21no—
72#16840316C2211yescharacteristic, complemented
73#16840310C2211yescharacteristic
74#16840291C2211yescharacteristic
75#16840290—21no—
76#16840290C2211yescharacteristic
77#16840238C2211yescharacteristic, complemented
78C4×#11758226C2211yescharacteristic, complemented
79#16840155C2211yescharacteristic, complemented
80#16840153C2211yescharacteristic
81#16840153C2211yescharacteristic, complemented
82#16840149C2211yescharacteristic
83#16840144C2211yescharacteristic
84#16840143C2211yescharacteristic
85#16840121C2211yescharacteristic
86#16840120C2211yescharacteristic
87#16840120C2211yescharacteristic
88#16840120C2211yescharacteristic, complemented
89#16840111C2211yescharacteristic, complemented
90#16840108C2211yescharacteristic
91#16840103C2211yescharacteristic
92#16840103C2211yescharacteristic
93#16840102C2211yescharacteristic, complemented
94#16840085C2211yescharacteristic
95#16840085C2211yescharacteristic, complemented
96#16840084C2211yescharacteristic
97#16840070C2211yescharacteristic, complemented
98#16840069C2211yescharacteristic, complemented
99#16840069C2211yescharacteristic, complemented
100#16840063C2211yescharacteristic, complemented
101#16840058C2211yescharacteristic, complemented
102#16840050C2211yescharacteristic
103#16840048C2211yescharacteristic, complemented
104#16840045C2211yescharacteristic, complemented
105#16840040C2211yescharacteristic
106#16840040C2211yescharacteristic, complemented
107#16840020C2211yescharacteristic
108#16840014C2211yescharacteristic, complemented
109#16840008C2211yescharacteristic
110#16840005C2211yescharacteristic
111#16840003C2211yescharacteristic
112#16840002C2211yescharacteristic, complemented
113#16840000C2211yescharacteristic, complemented
114#16839997C2211yescharacteristic
115#16839991C2211yescharacteristic
116#16839990C2211yescharacteristic
117#16839988C2211yescharacteristic
118#16839988C2211yescharacteristic, complemented
119#16839985C2211yescharacteristic, complemented
120#16839985C2211yescharacteristic, complemented
121#16839983C2211yescharacteristic
122#16839982C2211yescharacteristic
123#16839982C2211yescharacteristic
124#16839982C2211yescharacteristic, complemented
125#16839981C2211yescharacteristic
126#16839979C2211yescharacteristic
127#16839979C2211yescharacteristic, complemented
128#16839976C2211yescharacteristic
129#16839976C2211yescharacteristic, complemented
130#16839974C2211yescharacteristic
131#16839973C2211yescharacteristic, complemented
132#16839972C2211yescharacteristic, complemented
133#16839972C2211yescharacteristic, complemented
134#16839971C2211yescharacteristic, complemented
135#16839970C2211yescharacteristic, complemented
136#16839970C2211yescharacteristic, complemented
137#16839968C2211yescharacteristic, complemented
138#16839965C2211yescharacteristic
139#16839959C2211yescharacteristic
140#16839954C2211yescharacteristic
141#16839925C2211yescharacteristic
142#16839925C2211yescharacteristic, complemented
143#16839924C2211yescharacteristic
144#16839923C2211yescharacteristic, complemented
145#16839921C2211yescharacteristic
146#16839921C2211yescharacteristic
147#16839921C2211yescharacteristic, complemented
148#16839918C2211yescharacteristic
149#16839918C2211yescharacteristic
150#16839916C2211yescharacteristic, complemented
151#16839913C2211yescharacteristic
152#16839908C2211yescharacteristic
153#16839907C2211yescharacteristic
154#16839906C2211yescharacteristic
155#16839902C2211yescharacteristic, complemented
156#16839899C2211yescharacteristic
157#16839899C2211yescharacteristic, complemented
158#16839896C2211yescharacteristic
159#16839891C2211yescharacteristic, complemented
160#16839889C2211yescharacteristic, complemented
161#16839871C2211yescharacteristic
162#16839869C2211yescharacteristic, complemented
163#16839867C2211yescharacteristic, complemented
164#16839867C2211yescharacteristic, complemented
165#16839865C2211yescharacteristic, complemented
166#16839863C2211yescharacteristic
167#16839863C2211yescharacteristic, complemented
168#16839859C2211yescharacteristic
169C4×#11758202C2211yescharacteristic, complemented
170C4×#11758202C2211yescharacteristic, complemented
171#16839853C2211yescharacteristic, complemented
172SD16×Dic61C2211yescharacteristic
173#16839833C2211yescharacteristic
174#16839832C2211yescharacteristic, complemented
175#16839831C2211yescharacteristic
176#16839831C2211yescharacteristic
177#16839827C2211yescharacteristic, complemented
178C8×C22⋊D61C2211yescharacteristic
179#16839823C2211yescharacteristic
180#16839822C2211yescharacteristic, complemented
181#16839818C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839769C2211yescharacteristic, complemented
185#16839755C2211yescharacteristic
186#16839755C2211yescharacteristic
187#16839755C2211yescharacteristic, complemented
188C2×#137×C61C2211yescharacteristic
189C22×SD16×C61C2211yescharacteristic
190C61×#535C2211yescharacteristic
191C61×#519C2211yescharacteristic
192C61×#464C2211yescharacteristic
193C61×#464C2211yescharacteristic
194C61×#464C2211yescharacteristic
195C61×#464C2211yescharacteristic
196C61×#460C2211yescharacteristic
197C61×#460C2211yescharacteristic
198C61×#460C2211yescharacteristic
199C61×#460C2211yescharacteristic
200C61×#424C2211yescharacteristic
201C61×#418C2211yescharacteristic
202C61×#416C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758224C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209#14519806—42no—
210#14519798—42no—
211#14519798—42no—
212C2×Dic244C2311yescharacteristic
213C2×Dic244C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219Q16×D61—42no—
220C2×#11758190C2311yescharacteristic
221C2×#11758190C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227C2×#11758199C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758189C2311yescharacteristic
230C2×C8×D61C2311yescharacteristic
231C2×C8×D61C2311yescharacteristic
232C2×C8×D61C2311yescharacteristic
233#14519777—21no—
234#14519777C2311yescharacteristic
235#14519777C2311yescharacteristic
236#14519776—21no—
237#14519776—21no—
238#14519776C2311yescharacteristic
239#14519776C2311yescharacteristic
240#14519775—21no—
241#14519775C2311yescharacteristic
242#14519775C2311yescharacteristic
243#14519773—21no—
244#14519772—21no—
245#14519772—21no—
246#14519772—21no—
247#14519772—21no—
248#14519772D411yescharacteristic
249#14519771—21no—
250#14519771—21no—
251#14519771—21no—
252#14519770—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519770D411yescharacteristic
259#14519769C2311yescharacteristic
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767D411yescharacteristic
264#14519766—21no—
265#14519766C2311yescharacteristic
266#14519765—21no—
267#14519765—21no—
268#14519765—21no—
269#14519765—21no—
270#14519765C2311yescharacteristic
271#14519764—21no—
272#14519764—21no—
273#14519764C2311yescharacteristic
274#14519764C2311yescharacteristic
275#14519764C2311yescharacteristic
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763D411yescharacteristic
281#14519762—21no—
282#14519762D411yescharacteristic
283#14519760—21no—
284#14519759—21no—
285#14519759—21no—
286#14519759—21no—
287#14519759—21no—
288#14519759D411yescharacteristic
289#14519758—21no—
290#14519758—21no—
291#14519758—21no—
292#14519758—21no—
293#14519758—21no—
294#14519758—21no—
295#14519758—21no—
296#14519757—21no—
297#14519757C2311yescharacteristic
298#14519756—21no—
299#14519756—21no—
300#14519756C2311yescharacteristic
301#14519756C2311yescharacteristic
302#14519756C2311yescharacteristic
303#14519755—21no—
304#14519755—21no—
305#14519755—21no—
306#14519755—21no—
307#14519755D411yescharacteristic
308#14519754—21no—
309#14519754—21no—
310#14519754—21no—
311#14519754—21no—
312#14519753—21no—
313#14519753—21no—
314#14519753C2311yescharacteristic
315#14519753C2311yescharacteristic
316#14519753C2311yescharacteristic
317#14519752—21no—
318#14519752C2311yescharacteristic
319#14519751—21no—
320#14519751C2311yescharacteristic
321#14519750—21no—
322#14519750—21no—
323#14519750D411yescharacteristic
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749—21no—
328#14519749—21no—
329#14519749—21no—
330#14519749—21no—
331#14519748—21no—
332#14519748—21no—
333#14519748—21no—
334#14519748C2311yescharacteristic
335#14519748C2311yescharacteristic
336#14519748C2311yescharacteristic
337#14519746—21no—
338#14519746—21no—
339Q8×Dic61C2311yescharacteristic
340Q8×Dic61C2311yescharacteristic
341Q8×Dic61C2311yescharacteristic
342C4×Dic122—21no—
343C4×Dic122—21no—
344C4×Dic122—21no—
345C4×Dic122—21no—
346C4×Dic122—21no—
347C4×Dic122C2311yescharacteristic
348C4×Dic122C2311yescharacteristic
349C4×Dic122C2311yescharacteristic
350C4×Dic122C2311yescharacteristic
351#14519742—21no—
352#14519742C2311yescharacteristic
353C4×D244—21no—
354C4×D244—21no—
355C4×D244C2311yescharacteristic
356C4×D244C2311yescharacteristic
357D4×Dic61—21no—
358D4×Dic61—21no—
359D4×Dic61—21no—
360D4×Dic61—21no—
361D4×Dic61C2311yescharacteristic
362D4×Dic61C2311yescharacteristic
363D4×Dic61C2311yescharacteristic
364#14519739—21no—
365#14519739C2311yescharacteristic
366C4×C22⋊D61—21no—
367C4×C22⋊D61—21no—
368C4×C22⋊D61—21no—
369C4×C22⋊D61C2311yescharacteristic
370C4×C22⋊D61C2311yescharacteristic
371#14519737—21no—
372#14519737—21no—
373#14519735—21no—
374#14519735—21no—
375#14519735C2311yescharacteristic
376#14519735C2311yescharacteristic
377#14519734—21no—
378#14519734—21no—
379#14519734—21no—
380#14519734—21no—
381#14519734C2311yescharacteristic
382#14519733—21no—
383#14519733—21no—
384C2×#11758196—21no—
385C2×C22⋊Dic61—21no—
386C2×C22⋊Dic61—21no—
387C42×D61—21no—
388C42×D61C2311yescharacteristic
389#14519711C2311yescharacteristic
390#14519711C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519710C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519709C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428C22⋊#92418C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519688C2311yescharacteristic
434#14519687C2311yescharacteristic
435#14519687C2311yescharacteristic
436#14519687C2311yescharacteristic
437C4×#92418C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C22×Q8×C61C2311yescharacteristic
441C22×D4×C61C2311yescharacteristic
442#137×C61—42no—
443C2×Q16×C61C2311yescharacteristic
444C2×Q16×C61C2311yescharacteristic
445C2×SD16×C61—42no—
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×M16×C61C2311yescharacteristic
453C22×C8×C61C2311yescharacteristic
454#127×C61C2311yescharacteristic
455#127×C61C2311yescharacteristic
456#124×C61C2311yescharacteristic
457#124×C61C2311yescharacteristic
458#121×C61—21no—
459#121×C61—21no—
460#120×C61—21no—
461#120×C61—21no—
462C4×Q8×C61—21no—
463C4×Q8×C61—21no—
464C4×Q8×C61C2311yescharacteristic
465C4×Q8×C61C2311yescharacteristic
466C4×Q8×C61C2311yescharacteristic
467C4×Q8×C61C2311yescharacteristic
468#117×C61—21no—
469#117×C61—21no—
470#117×C61C2311yescharacteristic
471#117×C61C2311yescharacteristic
472C4⋊C8×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475C4⋊C8×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C24×C61—21no—
485#41×C61—41no—
486#41×C61—41no—
487C2×Q8×C61—21no—
488C2×Q8×C61—22no—
489C2×Q8×C61—41no—
490C2×Q8×C61C2411yescharacteristic
491C2×Q8×C61C2411yescharacteristic
492C2×Q8×C61C2411yescharacteristic
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—41no—
500C2×D4×C61—41no—
501C2×D4×C61C2411yescharacteristic
502C2×D4×C61C2411yescharacteristic
503C2×D4×C61C2411yescharacteristic
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61C2411yescharacteristic
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61C2×D411yescharacteristic
515C2×C22⋊D61C2×D411yescharacteristic
516C22×Dic61—21no—
517C22×Dic61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522#11758226—22no—
523#11758226—41no—
524Q8×D61—22no—
525Q8×D61—41no—
526Q8×D61—41no—
527Q8×D61—41no—
528#11758224—41no—
529#11758224—41no—
530#11758224—41no—
531#11758224—41no—
532#11758224—41no—
533#11758224—41no—
534C2×D244—21no—
535C2×D244—21no—
536C2×D244C2×D411yescharacteristic
537C2×D244C2411yescharacteristic
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61C2×D411yescharacteristic
544C2×C4×D61C2×D411yescharacteristic
545C2×C4×D61C2411yescharacteristic
546C2×C4×D61C2411yescharacteristic
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122—21no—
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122C2×D411yescharacteristic
553C2×Dic122C2411yescharacteristic
554C2×Dic122C2411yescharacteristic
555C2×Dic122C2411yescharacteristic
556Q16×C61—22no—
557Q16×C61—41no—
558SD16×C61—22no—
559SD16×C61—22no—
560SD16×C61—22no—
561SD16×C61—41no—
562SD16×C61—41no—
563SD16×C61—41no—
564M16×C61—41no—
565C2×C8×C61—41no—
566C2×C8×C61C2411yescharacteristic
567C2×C8×C61C2411yescharacteristic
568C2×C8×C61C2411yescharacteristic
569C2×C8×C61C2411yescharacteristic
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61C2×D411yescharacteristic
575C4⋊C4×C61C2×D411yescharacteristic
576C4⋊C4×C61C2411yescharacteristic
577C4⋊C4×C61C2411yescharacteristic
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61C2×D411yescharacteristic
584C22⋊C4×C61C2×D411yescharacteristic
585C42×C61—21no—
586C42×C61—21no—
587C42×C61—21no—
588C42×C61—21no—
589C42×C61—21no—
590C42×C61C2411yescharacteristic
591C42×C61C2411yescharacteristic
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61C2×D411yescharacteristic
608C22⋊Dic61C2×D411yescharacteristic
609#11758202—22no—
610#11758202—22no—
611#11758202—41no—
612#11758202—41no—
613#11758202—41no—
614#11758201—41no—
615#11758200—41no—
616#11758200—41no—
617#11758200—41no—
618#11758199—41no—
619#11758199—41no—
620#11758199—41no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198C2×D411yescharacteristic
636#11758198C2×D411yescharacteristic
637#11758198C2×D411yescharacteristic
638#11758198C2×D411yescharacteristic
639#11758198C2×D411yescharacteristic
640#11758198C2×D411yescharacteristic
641C4⋊Dic61—21no—
642C4⋊Dic61—21no—
643C4⋊Dic61—21no—
644C4⋊Dic61—21no—
645C4⋊Dic61—21no—
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61C2×D411yescharacteristic
649C4⋊Dic61C2×D411yescharacteristic
650C4⋊Dic61C2411yescharacteristic
651C4⋊Dic61C2411yescharacteristic
652C4⋊Dic61C2411yescharacteristic
653C4⋊Dic61C2411yescharacteristic
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61C2×D411yescharacteristic
688C4×Dic61C2×D411yescharacteristic
689C4×Dic61C2411yescharacteristic
690C4×Dic61C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695Dic244—41no—
696Dic244—41no—
697#11758190—41no—
698#11758190—41no—
699#11758189—41no—
700C8×D61—41no—
701C8×D61—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61—21no—
705C23×C61—21no—
706C23×C61—81no—
707C23×C61—81no—
708C23×C61—81no—
709C23×C61C22×D411yescharacteristic
710C22×D61—21no—
711C22×D61C22×D411yescharacteristic
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61—42no—
719Q8×C61H(5,𝔽2)12yes—
720D4×C61—21no—
721D4×C61—21no—
722D4×C61—21no—
723D4×C61—21no—
724D4×C61—21no—
725D4×C61—21no—
726D4×C61—81no—
727D4×C61—81no—
728D4×C61—81no—
729D4×C61—81no—
730D4×C61—81no—
731D4×C61—81no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—42no—
740C2×C4×C61—81no—
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C2511yescharacteristic
747C22⋊D61—41no—
748C22⋊D61—41no—
749C22⋊D61—81no—
750C22⋊D61—81no—
751C22⋊D61—81no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C22⋊D61—81no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—81no—
764C2×Dic61—81no—
765C2×Dic61—81no—
766C2×Dic61—81no—
767C2×Dic61—81no—
768C2×Dic61—81no—
769C2×Dic61C22×D411yescharacteristic
770C2×Dic61C22×D411yescharacteristic
771C2×Dic61C22×D411yescharacteristic
772C2×Dic61C22×D411yescharacteristic
773C2×Dic61C22×D411yescharacteristic
774C2×Dic61C22×D411yescharacteristic
775D244—21no—
776D244—21no—
777D244—41no—
778D244—42no—
779D244—81no—
780C4×D61—21no—
781C4×D61—21no—
782C4×D61—21no—
783C4×D61—21no—
784C4×D61—41no—
785C4×D61—41no—
786C4×D61—42no—
787C4×D61—42no—
788C4×D61—42no—
789C4×D61—81no—
790C4×D61—81no—
791Dic122—21no—
792Dic122—21no—
793Dic122—21no—
794Dic122—21no—
795Dic122—21no—
796Dic122—21no—
797Dic122—41no—
798Dic122—42no—
799Dic122—81no—
800Dic122—81no—
801Dic122—81no—
802Dic122—81no—
803C8×C61—21no—
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807#92418—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#62013—611nomaximal, Sylow
812C22×C61—21no—
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—162no—
825C22×C61C23×D411yescharacteristic
826C2×D61—21no—
827C2×D61—21no—
828C2×D61—21no—
829C2×D61—21no—
830C2×D61—21no—
831C2×D61—21no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61—22no—
840C4×C61—21no—
841C4×C61—41no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61—41no—
845C4×C61C2×H(5,𝔽2)11yescharacteristic
846C4×C61#58511yescharacteristic
847Dic61—21no—
848Dic61—21no—
849Dic61—21no—
850Dic61—21no—
851Dic61—21no—
852Dic61—21no—
853Dic61—41no—
854Dic61—41no—
855Dic61—41no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860#3562—611no—
861#3518—611no—
862#3402—611no—
863#3401—611no—
864#3375—611no—
865#3369—611no—
866#3321—611no—
867#3319—611no—
868#3313—611no—
869#3311—611no—
870#3304—611no—
871#3302—611no—
872#3285—611no—
873#3282—611no—
874#3271—611no—
875#3270—611no—
876#3269—611no—
877#3266—611no—
878#3258—611no—
879#3257—611no—
880#3248—611no—
881#3225—611no—
882#3224—611no—
883#3216—611no—
884#3127—611no—
885#3126—611no—
886#3111—611no—
887#3044—611no—
888#3043D6111yescharacteristic, complemented
889#3035—611no—
890#2992—611no—
891C2×C61—41no—
892C2×C61—81no—
893C2×C61—81no—
894C2×C61—81no—
895C2×C61#348811yescharacteristic
896C2×C61#358411yescharacteristic
897C2×C61#358611yescharacteristic
898D61—41no—
899D61—41no—
900D61—81no—
901C2×#137—611no—
902C2×#137C2×D6111yescharacteristic
903C2×#135—611no—
904C2×#135—611no—
905C22×Q16—611no—
906C22×SD16C2×D6111yescharacteristic
907#562—1221no—
908#560—1221no—
909#559—611no—
910Q82—611no—
911#556—611no—
912#556—611no—
913#556—611no—
914#556—611no—
915#556—1221no—
916#556—1221no—
917#556—1221no—
918#555—611no—
919#555—1221no—
920#553—1221no—
921#551—1221no—
922#550—611no—
923D4×Q8—611no—
924#548—611no—
925#548—611no—
926#548—611no—
927#548—611no—
928#547—611no—
929#546—611no—
930#546—611no—
931#542—611no—
932#542—611no—
933#542—1221no—
934#542—1221no—
935#541—611no—
936#540—611no—
937#540—1221no—
938#539—1221no—
939#538—1221no—
940#538—1221no—
941#536—611no—
942#535C2×D6111yescharacteristic
943#533—611no—
944#533—1221no—
945#532—611no—
946#529—611no—
947#529—611no—
948#529—1221no—
949#519—611no—
950#519C2×D6111yescharacteristic
951C4×#41—611no—
952#497—611no—
953#497—611no—
954#497—611no—
955#496—611no—
956#495—611no—
957#495—611no—
958#489—611no—
959#489—611no—
960#489—611no—
961#489—611no—
962#487—611no—
963#486—611no—
964#485—611no—
965#485—611no—
966#485—611no—
967#482—611no—
968#482—611no—
969#482—611no—
970#479—611no—
971#479—611no—
972#479—611no—
973#478—611no—
974#477—611no—
975#476—611no—
976#475—611no—
977#475—611no—
978#474—611no—
979#474—611no—
980#470—611no—
981#469—611no—
982#468—611no—
983#468—611no—
984#467—611no—
985#467—611no—
986#467—611no—
987#466—611no—
988#465—611no—
989#465—611no—
990#465—611no—
991#465—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#464C2×D6111yescharacteristic
1000#464C2×D6111yescharacteristic
1001#464C2×D6111yescharacteristic
1002#464C2×D6111yescharacteristic
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463—611no—
1008#462—611no—
1009#462—611no—
1010#462—611no—
1011#462—611no—
1012#462—611no—
1013#462—611no—
1014#461—611no—
1015#461—611no—
1016#460—611no—
1017#460C2×D6111yescharacteristic
1018#460C2×D6111yescharacteristic
1019#460C2×D6111yescharacteristic
1020#460C2×D6111yescharacteristic
1021#459—611no—
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452—611no—
1028#452—611no—
1029#451—611no—
1030#451—611no—
1031#451—611no—
1032#450—611no—
1033#449—611no—
1034#449—611no—
1035#449—611no—
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#447—611no—
1040#446—611no—
1041#446—611no—
1042#442—611no—
1043#441—611no—
1044#441—611no—
1045#441—611no—
1046#440—611no—
1047#440—611no—
1048#440—611no—
1049#440—611no—
1050C4×Q16—611no—
1051C4×Q16—611no—
1052C4×SD16—611no—
1053C4×SD16—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058C8×D4—611no—
1059C8×D4—611no—
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424C2×D6111yescharacteristic
1065C2×C4⋊C8—611no—
1066#419—611no—
1067#418C2×D6111yescharacteristic
1068#416—611no—
1069#416—611no—
1070#416—611no—
1071#416C2×D6111yescharacteristic
1072C61#6201311yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41—611no—
1077C2×#41C22×D6111yescharacteristic
1078C22×Q8—611no—
1079C22×Q8—611no—
1080C22×Q8C22×D6111yescharacteristic
1081C22×D4C22×D6111yescharacteristic
1082#137—42no—
1083#137—2442no—
1084#135—2442no—
1085#135—2442no—
1086C2×Q16—611no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16—611no—
1091C2×Q16—611no—
1092C2×Q16—611no—
1093C2×Q16—2442no—
1094C2×Q16C22×D6111yescharacteristic
1095C2×Q16C22×D6111yescharacteristic
1096C2×SD16—42no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16C22×D6111yescharacteristic
1104C2×SD16C22×D6111yescharacteristic
1105C2×SD16C22×D6111yescharacteristic
1106C2×SD16C22×D6111yescharacteristic
1107C2×SD16C22×D6111yescharacteristic
1108C2×SD16C22×D6111yescharacteristic
1109C2×D8—611no—
1110C2×D8—611no—
1111C2×D8—611no—
1112C2×M16—611no—
1113C2×M16C22×D6111yescharacteristic
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8—611no—
1117C22×C8C22×D6111yescharacteristic
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—611no—
1123C4⋊Q8—611no—
1124C4⋊Q8—1221no—
1125C4⋊Q8—1221no—
1126C4⋊Q8—1221no—
1127C4⋊Q8—1221no—
1128#127—1221no—
1129#127C22×D6111yescharacteristic
1130#127C22×D6111yescharacteristic
1131#126—611no—
1132#126—611no—
1133#126—1221no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#126—1221no—
1143#126—1221no—
1144#126—1221no—
1145#126—1221no—
1146#125—611no—
1147#125—611no—
1148#125—1221no—
1149#125—1221no—
1150#125—1221no—
1151#124—611no—
1152#124—611no—
1153#124—611no—
1154#124—611no—
1155#124—611no—
1156#124—611no—
1157#124—1221no—
1158#124—1221no—
1159#124—1221no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124—1221no—
1165#124—1221no—
1166#124—1221no—
1167#124—1221no—
1168#124C22×D6111yescharacteristic
1169#124C22×D6111yescharacteristic
1170#123—611no—
1171#123—611no—
1172#123—1221no—
1173#123—1221no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185C22⋊Q8—611no—
1186C22⋊Q8—611no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
1191C22⋊Q8—611no—
1192C22⋊Q8—611no—
1193C22⋊Q8—1221no—
1194C22⋊Q8—1221no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206#121—21no—
1207#121—21no—
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—611no—
1212#121—611no—
1213#121—611no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#120—21no—
1229#120—21no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—21no—
1233C4×Q8—21no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—611no—
1240C4×Q8—611no—
1241C4×Q8—611no—
1242C4×Q8—1221no—
1243C4×Q8—1221no—
1244C4×Q8—1221no—
1245C4×Q8—1221no—
1246C4×Q8—1221no—
1247C4×Q8—1221no—
1248C4×Q8C22×D6111yescharacteristic
1249C4×Q8C22×D6111yescharacteristic
1250C4×Q8C22×D6111yescharacteristic
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—611no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—611no—
1259C4×D4—611no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4—1221no—
1271C4×D4—1221no—
1272#117—21no—
1273#117—21no—
1274#117—611no—
1275#117—611no—
1276#117—611no—
1277#117—1221no—
1278#117—1221no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117C22×D6111yescharacteristic
1286#117C22×D6111yescharacteristic
1287C2×C4⋊C4—1221no—
1288C2×C22⋊C4—1221no—
1289C2×C22⋊C4—1221no—
1290C2×C42—611no—
1291C2×C42—1221no—
1292#107—611no—
1293#107—611no—
1294#107—611no—
1295#107—611no—
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106—611no—
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8C22×D6111yescharacteristic
1307C4⋊C8C22×D6111yescharacteristic
1308C4⋊C8C22×D6111yescharacteristic
1309C4⋊C8C22×D6111yescharacteristic
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103—611no—
1323#103—611no—
1324#103—611no—
1325#103—611no—
1326#103C22×D6111yescharacteristic
1327#103C22×D6111yescharacteristic
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102C22×D6111yescharacteristic
1337#102C22×D6111yescharacteristic
1338#102C22×D6111yescharacteristic
1339#102C22×D6111yescharacteristic
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8—611no—
1347C22⋊C8—611no—
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97—611no—
1352C4×C8—611no—
1353C4×C8—611no—
1354C24—21no—
1355#41—41no—
1356#41—41no—
1357#41—1222no—
1358#41—2441no—
1359#41—2441no—
1360#41—2441no—
1361#41—2441no—
1362#41—2441no—
1363#41—2441no—
1364#41—2441no—
1365C2×Q8—21no—
1366C2×Q8—22no—
1367C2×Q8—41no—
1368C2×Q8—611no—
1369C2×Q8—611no—
1370C2×Q8—611no—
1371C2×Q8—611no—
1372C2×Q8—1221no—
1373C2×Q8—1221no—
1374C2×Q8—1221no—
1375C2×Q8—1221no—
1376C2×Q8—1221no—
1377C2×Q8—1222no—
1378C2×Q8—2441no—
1379C2×Q8—2441no—
1380C2×Q8—2441no—
1381C2×Q8C23×D6111yescharacteristic
1382C2×Q8C23×D6111yescharacteristic
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—611no—
1393C2×D4—611no—
1394C2×D4—611no—
1395C2×D4—611no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4—1221no—
1405C2×D4C23×D6111yescharacteristic
1406C2×D4C23×D6111yescharacteristic
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—611no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—1221no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4—1221no—
1425C22×C4C23×D6111yescharacteristic
1426Q16—22no—
1427Q16—41no—
1428Q16—1222no—
1429Q16—1222no—
1430Q16—2441no—
1431Q16—2441no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—22no—
1436SD16—22no—
1437SD16—22no—
1438SD16—41no—
1439SD16—41no—
1440SD16—41no—
1441SD16—2441no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—2441no—
1448D8—2441no—
1449D8—2441no—
1450M16—41no—
1451M16—2441no—
1452C2×C8—41no—
1453C2×C8—611no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—611no—
1457C2×C8—2441no—
1458C2×C8—2441no—
1459C2×C8—2441no—
1460C2×C8C23×D6111yescharacteristic
1461C2×C8C23×D6111yescharacteristic
1462C2×C8C23×D6111yescharacteristic
1463C2×C8C23×D6111yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—611no—
1469C4⋊C4—611no—
1470C4⋊C4—611no—
1471C4⋊C4—611no—
1472C4⋊C4—611no—
1473C4⋊C4—611no—
1474C4⋊C4—611no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4D4×D6111yescharacteristic
1506C4⋊C4D4×D6111yescharacteristic
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—611no—
1515C22⋊C4—611no—
1516C22⋊C4—611no—
1517C22⋊C4—611no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4D4×D6111yescharacteristic
1552C22⋊C4D4×D6111yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—611no—
1559C42—611no—
1560C42—611no—
1561C42—611no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42—1221no—
1570C42—1221no—
1571C42C23×D6111yescharacteristic
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—81no—
1577C23—81no—
1578C23—81no—
1579C23—611no—
1580C23—611no—
1581C23—1221no—
1582C23C2×D4×D6111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—42no—
1589Q8—1221no—
1590Q8—1221no—
1591Q8—1221no—
1592Q8—1221no—
1593Q8—1221no—
1594Q8—1221no—
1595Q8—4881no—
1596Q8—4881no—
1597Q8—4881no—
1598Q8—4881no—
1599Q8—2441no—
1600Q8—2442no—
1601Q8#1451982212yes—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—1221no—
1615D4—1221no—
1616D4—4881no—
1617D4—4881no—
1618D4—4881no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—2441no—
1625D4—2442no—
1626D4—2441no—
1627D4—2441no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—42no—
1636C2×C4—81no—
1637C2×C4—611no—
1638C2×C4—611no—
1639C2×C4—611no—
1640C2×C4—611no—
1641C2×C4—611no—
1642C2×C4—611no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—4881no—
1655C2×C4—4881no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—4881no—
1662C2×C4—2441no—
1663C2×C4—2441no—
1664C2×C4—2442no—
1665C2×C4—2442no—
1666C2×C4—2442no—
1667C2×C4C2×D4×D6111yescharacteristic
1668C2×C4C2×D4×D6111yescharacteristic
1669C2×C4C2×D4×D6111yescharacteristic
1670C2×C4C2×D4×D6111yescharacteristic
1671C2×C4C2×D4×D6111yescharacteristic
1672C2×C4C24×D6111yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C8—1221no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—162no—
1694C22—1221no—
1695C22—1221no—
1696C22—1221no—
1697C22—1221no—
1698C22—1221no—
1699C22—1221no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22C22×D4×D6111yescharacteristic
1704C4—21no—
1705C4—22no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—1221no—
1715C4—1221no—
1716C4—1221no—
1717C4—1221no—
1718C4—1221no—
1719C4—1221no—
1720C4—2441no—
1721C4—2441no—
1722C4—2441no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4C2×#1451982211yescharacteristic
1728C4#1684059811yescharacteristic
1729C2—41no—
1730C2—81no—
1731C2—81no—
1732C2—81no—
1733C2—4881no—
1734C2—2441no—
1735C2—2441no—
1736C2#2145948411yescharacteristic
1737C2#2146059111yescharacteristic
1738C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3043C2
socleC22×C61C23×D4
hypercenter#3043D61
hypocenterC61#62013
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3043

Complements

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

NH ≅ G/Ntype
1. #21460403C2semidirect
2. #21459830C2semidirect
3. #21458898C2semidirect
4. #21458878C2semidirect
5. #21458637C2semidirect
6. #21458554C2semidirect
7. #21458001C2semidirect
8. #21457976C2semidirect
9. #21457892C2semidirect
10. #21457856C2semidirect
11. #21457761C2semidirect
12. #21457732C2semidirect
13. #21457555C2semidirect
14. #21457526C2semidirect
15. #21457399C2semidirect
16. #21457383C2semidirect
17. #21457368C2semidirect
18. #21457329C2semidirect
19. #21457247C2semidirect
20. #21457228C2semidirect
21. #21457153C2semidirect
22. #21456933C2semidirect
23. #21456913C2semidirect
24. #21456828C2semidirect
25. #21456119C2semidirect
26. #21456108C2semidirect
27. #21455927C2semidirect
28. #21455347C2semidirect
29. #21455269C2semidirect
30. #21454956C2semidirect
31. C61×#3043C2semidirect
34. C2×#14519798C22semidirect
35. C2×Q16×D61C22semidirect
39. Q8×Dic122C22semidirect
41. #16840485C22semidirect
43. #16840484C22semidirect
53. #16840424C22semidirect
61. #16840384C22semidirect
72. #16840316C22semidirect
77. #16840238C22semidirect
78. C4×#11758226C22semidirect
79. #16840155C22semidirect
81. #16840153C22semidirect
88. #16840120C22semidirect
89. #16840111C22semidirect
93. #16840102C22semidirect
95. #16840085C22semidirect
97. #16840070C22semidirect
98. #16840069C22semidirect
99. #16840069C22semidirect
100. #16840063C22semidirect
101. #16840058C22semidirect
103. #16840048C22semidirect
104. #16840045C22semidirect
106. #16840040C22semidirect
108. #16840014C22semidirect
112. #16840002C22semidirect
113. #16840000C22semidirect
118. #16839988C22semidirect
119. #16839985C22semidirect
120. #16839985C22semidirect
124. #16839982C22semidirect
127. #16839979C22semidirect
129. #16839976C22semidirect
131. #16839973C22semidirect
132. #16839972C22semidirect
133. #16839972C22semidirect
134. #16839971C22semidirect
135. #16839970C22semidirect
136. #16839970C22semidirect
137. #16839968C22semidirect
142. #16839925C22semidirect
144. #16839923C22semidirect
147. #16839921C22semidirect
150. #16839916C22semidirect
155. #16839902C22semidirect
157. #16839899C22semidirect
159. #16839891C22semidirect
160. #16839889C22semidirect
162. #16839869C22semidirect
163. #16839867C22semidirect
164. #16839867C22semidirect
165. #16839865C22semidirect
167. #16839863C22semidirect
169. C4×#11758202C22semidirect
170. C4×#11758202C22semidirect
171. #16839853C22semidirect
174. #16839832C22semidirect
177. #16839827C22semidirect
180. #16839822C22semidirect
181. #16839818C22semidirect
182. #16839787C22semidirect
183. C4⋊C8×D61C22semidirect
184. #16839769C22semidirect
187. #16839755C22semidirect
888. #3043D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214604032
#214598302
#214588982
#214588782
#214586372
#214585542
#214580012
#214579762
#214578922
#214578562
#214577612
#214577322
#214575552
#214575262
#214573992
#214573832
#214573682
#214573292
#214572472
#214572282
#214571532
#214569332
#214569132
#214568282
#214561192
#214561082
#214559272
#214553472
#214552692
#214549562
C61×#30432
#6201361