Finite Group Databasebeta

← #30575501

Subgroups — #30575501

Order 15616.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460339C211yesmaximal, characteristic, complemented
2#21459837C211yesmaximal, characteristic, complemented
3#21458887C211yesmaximal, characteristic, complemented
4#21458879C211yesmaximal, characteristic, complemented
5#21458633C211yesmaximal, characteristic, complemented
6#21458049C211yesmaximal, characteristic, complemented
7#21458047C211yesmaximal, characteristic, complemented
8#21457974C211yesmaximal, characteristic, complemented
9#21457972C211yesmaximal, characteristic, complemented
10#21457884C211yesmaximal, characteristic, complemented
11#21457882C211yesmaximal, characteristic, complemented
12#21457475C211yesmaximal, characteristic, complemented
13#21457471C211yesmaximal, characteristic, complemented
14#21457331C211yesmaximal, characteristic, complemented
15#21457324C211yesmaximal, characteristic, complemented
16#21457316C211yesmaximal, characteristic, complemented
17#21457309C211yesmaximal, characteristic, complemented
18#21457282C211yesmaximal, characteristic, complemented
19#21457279C211yesmaximal, characteristic, complemented
20#21457208C211yesmaximal, characteristic, complemented
21#21456916C211yesmaximal, characteristic, complemented
22#21456914C211yesmaximal, characteristic, complemented
23#21456823C211yesmaximal, characteristic, complemented
24#21456054C211yesmaximal, characteristic, complemented
25#21456046C211yesmaximal, characteristic, complemented
26#21455968C211yesmaximal, characteristic, complemented
27#21455338C211yesmaximal, characteristic, complemented
28#21455335C211yesmaximal, characteristic, complemented
29#21455310C211yesmaximal, characteristic, complemented
30#21454988C211yesmaximal, characteristic, complemented
31C61×#3375C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic, complemented
33C2×#14519809C2211yescharacteristic, complemented
34C2×#14519806C2211yescharacteristic, complemented
35C2×#14519804C2211yescharacteristic
36C2×SD16×D61C2211yescharacteristic, complemented
37C2×SD16×D61C2211yescharacteristic, complemented
38#16840509—21no—
39#16840504—21no—
40#16840497C2211yescharacteristic
41#16840486—21no—
42#16840486—21no—
43#16840486C2211yescharacteristic, complemented
44#16840486C2211yescharacteristic, complemented
45#16840485—21no—
46#16840485C2211yescharacteristic, complemented
47#16840478—21no—
48#16840478C2211yescharacteristic, complemented
49Q8×D244C2211yescharacteristic, complemented
50#16840424C2211yescharacteristic
51#16840424C2211yescharacteristic, complemented
52#16840424C2211yescharacteristic, complemented
53#16840420C2211yescharacteristic
54#16840408—21no—
55#16840407C2211yescharacteristic
56#16840405C2211yescharacteristic
57#16840404—21no—
58D4×D244C2211yescharacteristic
59#16840397C2211yescharacteristic
60#16840386—21no—
61#16840386—21no—
62#16840386C2211yescharacteristic, complemented
63#16840386C2211yescharacteristic, complemented
64#16840384C2211yescharacteristic
65#16840377C2211yescharacteristic
66#16840348—21no—
67#16840346—21no—
68#16840345—21no—
69#16840330C2211yescharacteristic
70#16840325C2211yescharacteristic
71#16840323—21no—
72#16840317—21no—
73#16840317C2211yescharacteristic, complemented
74#16840309C2211yescharacteristic
75#16840299—21no—
76#16840299C2211yescharacteristic
77#124×D61C2211yescharacteristic
78#16840238C2211yescharacteristic, complemented
79#16840238C2211yescharacteristic, complemented
80C4×#11758226C2211yescharacteristic, complemented
81#16840157C2211yescharacteristic, complemented
82#16840156C2211yescharacteristic, complemented
83#16840151C2211yescharacteristic
84#16840149C2211yescharacteristic
85#16840146C2211yescharacteristic, complemented
86#16840144C2211yescharacteristic, complemented
87#16840124C2211yescharacteristic, complemented
88#16840124C2211yescharacteristic, complemented
89#16840110C2211yescharacteristic
90#16840105C2211yescharacteristic, complemented
91#16840101C2211yescharacteristic, complemented
92#16840089C2211yescharacteristic
93#16840089C2211yescharacteristic, complemented
94#16840085C2211yescharacteristic
95#16840085C2211yescharacteristic, complemented
96#16840056C2211yescharacteristic, complemented
97#16840056C2211yescharacteristic, complemented
98#16840054C2211yescharacteristic, complemented
99#16840045C2211yescharacteristic, complemented
100#16840041C2211yescharacteristic, complemented
101#16840039C2211yescharacteristic, complemented
102#16840039C2211yescharacteristic, complemented
103#16840011C2211yescharacteristic, complemented
104#16840009C2211yescharacteristic
105#16840009C2211yescharacteristic, complemented
106#16840009C2211yescharacteristic, complemented
107#16840009C2211yescharacteristic, complemented
108#16840007C2211yescharacteristic
109#16840007C2211yescharacteristic, complemented
110#16840007C2211yescharacteristic, complemented
111#16840004C2211yescharacteristic, complemented
112#16840002C2211yescharacteristic, complemented
113#16839999C2211yescharacteristic
114#16839997C2211yescharacteristic
115#16839987C2211yescharacteristic, complemented
116#16839987C2211yescharacteristic, complemented
117#16839986C2211yescharacteristic, complemented
118#16839985C2211yescharacteristic, complemented
119#16839985C2211yescharacteristic, complemented
120#16839984C2211yescharacteristic, complemented
121#16839984C2211yescharacteristic, complemented
122#16839984C2211yescharacteristic, complemented
123#16839983C2211yescharacteristic, complemented
124#16839983C2211yescharacteristic, complemented
125#16839982C2211yescharacteristic, complemented
126#16839981C2211yescharacteristic, complemented
127#16839980C2211yescharacteristic, complemented
128#16839978C2211yescharacteristic, complemented
129#16839978C2211yescharacteristic, complemented
130#16839977C2211yescharacteristic, complemented
131#16839976C2211yescharacteristic, complemented
132#16839974C2211yescharacteristic, complemented
133#16839968C2211yescharacteristic, complemented
134#16839967C2211yescharacteristic, complemented
135#16839963C2211yescharacteristic
136#16839962C2211yescharacteristic
137#16839961C2211yescharacteristic, complemented
138#16839961C2211yescharacteristic, complemented
139#16839960C2211yescharacteristic, complemented
140#16839959C2211yescharacteristic
141#16839956C2211yescharacteristic, complemented
142#16839927C2211yescharacteristic, complemented
143#16839925C2211yescharacteristic, complemented
144#16839919C2211yescharacteristic, complemented
145#16839919C2211yescharacteristic, complemented
146#16839919C2211yescharacteristic, complemented
147#16839916C2211yescharacteristic, complemented
148#16839914C2211yescharacteristic
149#16839914C2211yescharacteristic
150#16839914C2211yescharacteristic, complemented
151#16839914C2211yescharacteristic, complemented
152#16839910C2211yescharacteristic, complemented
153#16839910C2211yescharacteristic, complemented
154#16839908C2211yescharacteristic, complemented
155#16839906C2211yescharacteristic, complemented
156#16839902C2211yescharacteristic
157#16839899C2211yescharacteristic
158#16839897C2211yescharacteristic, complemented
159#16839897C2211yescharacteristic, complemented
160#16839893C2211yescharacteristic, complemented
161#16839875C2211yescharacteristic, complemented
162#16839872C2211yescharacteristic, complemented
163#16839870C2211yescharacteristic, complemented
164#16839867C2211yescharacteristic, complemented
165#16839860C2211yescharacteristic, complemented
166#16839860C2211yescharacteristic, complemented
167C4×#11758202C2211yescharacteristic, complemented
168C4×#11758190C2211yescharacteristic, complemented
169C4×#11758200C2211yescharacteristic, complemented
170#16839841C2211yescharacteristic, complemented
171#16839839C2211yescharacteristic, complemented
172#16839835C2211yescharacteristic, complemented
173#16839835C2211yescharacteristic, complemented
174#16839832C2211yescharacteristic, complemented
175#16839832C2211yescharacteristic, complemented
176#16839824C2211yescharacteristic, complemented
177#16839821C2211yescharacteristic, complemented
178#16839817C2211yescharacteristic, complemented
179#16839787C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839784C2211yescharacteristic, complemented
182#16839769C2211yescharacteristic, complemented
183#16839765C2211yescharacteristic
184#16839765C2211yescharacteristic, complemented
185#16839765C2211yescharacteristic, complemented
186#16839757C2211yescharacteristic, complemented
187#16839755C2211yescharacteristic, complemented
188C61×#559C2211yescharacteristic
189Q82×C61C2211yescharacteristic, complemented
190C61×#489C2211yescharacteristic, complemented
191C61×#489C2211yescharacteristic, complemented
192C61×#486C2211yescharacteristic
193C61×#477C2211yescharacteristic, complemented
194C61×#474C2211yescharacteristic, complemented
195C61×#474C2211yescharacteristic, complemented
196C61×#464C2211yescharacteristic, complemented
197C61×#464C2211yescharacteristic, complemented
198C61×#460C2211yescharacteristic
199C61×#446C2211yescharacteristic, complemented
200C61×#440C2211yescharacteristic, complemented
201C61×#440C2211yescharacteristic, complemented
202C4×Q16×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758224C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C22×D244—21no—
211C2×D4×D61—21no—
212C2×D4×D61C2311yescharacteristic
213C2×D4×D61C2311yescharacteristic
214C2×D4×D61C2311yescharacteristic
215#14519809—42no—
216#14519809—42no—
217#14519806—42no—
218#14519804—42no—
219C2×Dic244C2311yescharacteristic
220C2×Dic244C2311yescharacteristic
221C2×#11758202C2311yescharacteristic
222C2×#11758202C2311yescharacteristic
223C2×#11758202C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758190C2311yescharacteristic
227C2×#11758190C2311yescharacteristic
228C2×#11758190C2311yescharacteristic
229C2×#11758200C2311yescharacteristic
230C2×#11758200C2311yescharacteristic
231C2×#11758200C2311yescharacteristic
232C2×#11758200C2311yescharacteristic
233C2×#11758201C2311yescharacteristic
234C2×#11758201C2311yescharacteristic
235C2×#11758201C2311yescharacteristic
236SD16×D61—42no—
237SD16×D61—42no—
238C2×D488C2311yescharacteristic
239C2×D488C2311yescharacteristic
240C2×#11758199C2311yescharacteristic
241C2×#11758199C2311yescharacteristic
242C2×#11758189C2311yescharacteristic
243C2×#11758189C2311yescharacteristic
244C2×#11758189C2311yescharacteristic
245C2×#11758189C2311yescharacteristic
246C2×C8×D61C2311yescharacteristic
247C2×C8×D61C2311yescharacteristic
248#14519777—21no—
249#14519777C2311yescharacteristic
250#14519776C2311yescharacteristic
251#14519774C2311yescharacteristic
252#14519773C2311yescharacteristic
253#14519772—21no—
254#14519772—21no—
255#14519772—21no—
256#14519772—21no—
257#14519772—21no—
258#14519772—21no—
259#14519772—21no—
260#14519772—21no—
261#14519772D411yescharacteristic
262#14519772D411yescharacteristic
263#14519771—21no—
264#14519770—21no—
265#14519768—21no—
266#14519768D411yescharacteristic
267#14519766—21no—
268#14519766—21no—
269#14519766—21no—
270#14519766—21no—
271#14519766—21no—
272#14519766—21no—
273#14519766—21no—
274#14519766D411yescharacteristic
275#14519766C2311yescharacteristic
276#14519765—21no—
277#14519765—21no—
278#14519765—21no—
279#14519765—21no—
280#14519765C2311yescharacteristic
281#14519765C2311yescharacteristic
282#14519765C2311yescharacteristic
283#14519765C2311yescharacteristic
284#14519764C2311yescharacteristic
285#14519763—21no—
286#14519763—21no—
287#14519763—21no—
288#14519763—21no—
289#14519763—21no—
290#14519762—21no—
291#14519762—21no—
292#14519762—21no—
293#14519762—21no—
294#14519762—21no—
295#14519762D411yescharacteristic
296#14519762D411yescharacteristic
297#14519761—21no—
298#14519760—21no—
299#14519759—21no—
300#14519757—21no—
301#14519757—21no—
302#14519757—21no—
303#14519757—21no—
304#14519757—21no—
305#14519757C2311yescharacteristic
306#14519757C2311yescharacteristic
307#14519757C2311yescharacteristic
308#14519757C2311yescharacteristic
309#14519757C2311yescharacteristic
310#14519756—21no—
311#14519755—21no—
312#14519754—21no—
313#14519753—21no—
314#14519753—21no—
315#14519753—21no—
316#14519753—21no—
317#14519753D411yescharacteristic
318#14519753C2311yescharacteristic
319#14519752—21no—
320#14519752—21no—
321#14519752—21no—
322#14519752—21no—
323#14519752D411yescharacteristic
324#14519752C2311yescharacteristic
325#14519752C2311yescharacteristic
326#14519752C2311yescharacteristic
327#14519752C2311yescharacteristic
328#14519751—21no—
329#14519751—21no—
330#14519750—21no—
331#14519750—21no—
332#14519750—21no—
333#14519750—21no—
334#14519750—21no—
335#14519749—21no—
336#14519749—21no—
337#14519748—21no—
338#14519748C2311yescharacteristic
339#14519748C2311yescharacteristic
340#14519747—21no—
341#14519747—21no—
342#14519747—21no—
343#14519747—21no—
344#14519747—21no—
345#14519747—21no—
346#14519745—21no—
347#14519745—21no—
348#14519745—21no—
349#14519745—21no—
350Q8×Dic61—21no—
351Q8×Dic61—21no—
352Q8×Dic61—21no—
353Q8×Dic61C2311yescharacteristic
354C4×Dic122—21no—
355C4×Dic122—21no—
356C4×Dic122C2311yescharacteristic
357C4×Dic122C2311yescharacteristic
358C4×Dic122C2311yescharacteristic
359#14519742—21no—
360#14519742—21no—
361#14519742C2311yescharacteristic
362#14519742C2311yescharacteristic
363C4×D244—21no—
364C4×D244—21no—
365C4×D244—21no—
366C4×D244—21no—
367C4×D244—21no—
368C4×D244C2311yescharacteristic
369C4×D244C2311yescharacteristic
370C4×D244C2311yescharacteristic
371C4×D244C2311yescharacteristic
372C4×D244C2311yescharacteristic
373C4×D244C2311yescharacteristic
374#14519739—21no—
375#14519739—21no—
376#14519739C2311yescharacteristic
377C4×C22⋊D61—21no—
378#14519737—21no—
379#14519735—21no—
380#14519735—21no—
381#14519735—21no—
382#14519735—21no—
383#14519735—21no—
384#14519735—21no—
385#14519735C2311yescharacteristic
386#14519735C2311yescharacteristic
387#14519735C2311yescharacteristic
388#14519734—21no—
389#14519734—21no—
390#14519734C2311yescharacteristic
391#14519734C2311yescharacteristic
392C2×#11758198—21no—
393C22⋊C4×D61—21no—
394C22⋊C4×D61—21no—
395C22⋊C4×D61—21no—
396C42×D61—21no—
397C42×D61C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519710C2311yescharacteristic
400#14519710C2311yescharacteristic
401#14519709C2311yescharacteristic
402#14519708C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404C4⋊#92418C2311yescharacteristic
405C4⋊#92418C2311yescharacteristic
406#14519706C2311yescharacteristic
407#14519706C2311yescharacteristic
408#14519706C2311yescharacteristic
409#14519706C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519700C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519688C2311yescharacteristic
439#14519688C2311yescharacteristic
440C4×#92418C2311yescharacteristic
441C2×Q16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C4⋊Q8×C61—21no—
445C4⋊Q8×C61—21no—
446C4⋊Q8×C61—21no—
447C4⋊Q8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449C4⋊Q8×C61C2311yescharacteristic
450#127×C61C2311yescharacteristic
451#124×C61—21no—
452#124×C61C2311yescharacteristic
453#124×C61C2311yescharacteristic
454#123×C61—21no—
455#123×C61—21no—
456C4×Q8×C61—21no—
457C4×Q8×C61C2311yescharacteristic
458C4×Q8×C61C2311yescharacteristic
459C4×Q8×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×Q8×C61C2311yescharacteristic
462C4×D4×C61—21no—
463C4×D4×C61C2311yescharacteristic
464C4×D4×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#107×C61C2311yescharacteristic
468C4⋊C8×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471#103×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#97×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C23×D61—21no—
486C23×D61—21no—
487C2×Q8×C61—21no—
488C2×Q8×C61—21no—
489C2×Q8×C61—21no—
490C2×Q8×C61C2×D411yescharacteristic
491C2×Q8×C61C2411yescharacteristic
492C2×Q8×C61C2411yescharacteristic
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61C2411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C22×C4×C61—21no—
498C22×C4×C61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C22×Dic61—21no—
508#11758226—22no—
509#11758226—41no—
510#11758226—41no—
511#11758226—41no—
512Q8×D61—22no—
513Q8×D61—22no—
514Q8×D61—41no—
515Q8×D61—41no—
516Q8×D61—41no—
517Q8×D61—41no—
518#11758224—41no—
519#11758224—41no—
520D4×D61—41no—
521D4×D61—41no—
522D4×D61—41no—
523D4×D61—41no—
524D4×D61—41no—
525D4×D61—41no—
526D4×D61—82no—
527#11758222—82no—
528C2×D244—21no—
529C2×D244—21no—
530C2×D244—21no—
531C2×D244—21no—
532C2×D244—21no—
533C2×D244—21no—
534C2×D244—21no—
535C2×D244—21no—
536C2×D244—82no—
537C2×D244C2×D411yescharacteristic
538C2×D244C2×D411yescharacteristic
539C2×D244C2×D411yescharacteristic
540C2×D244C2411yescharacteristic
541C2×D244C2411yescharacteristic
542C2×D244C2411yescharacteristic
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61—21no—
549C2×C4×D61—21no—
550C2×C4×D61—21no—
551C2×C4×D61—21no—
552C2×C4×D61C2×D411yescharacteristic
553C2×C4×D61C2×D411yescharacteristic
554C2×C4×D61C2411yescharacteristic
555C2×C4×D61C2411yescharacteristic
556C2×C4×D61C2411yescharacteristic
557C2×Dic122—21no—
558C2×Dic122—21no—
559C2×Dic122—21no—
560C2×Dic122—21no—
561C2×Dic122C2411yescharacteristic
562C2×Dic122C2411yescharacteristic
563C2×Dic122C2411yescharacteristic
564Q16×C61—22no—
565SD16×C61—22no—
566SD16×C61—22no—
567C2×C8×C61C2411yescharacteristic
568C2×C8×C61C2411yescharacteristic
569C2×C8×C61C2411yescharacteristic
570C2×C8×C61C2411yescharacteristic
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61C2×D411yescharacteristic
579C4⋊C4×C61C2×D411yescharacteristic
580C4⋊C4×C61C2×D411yescharacteristic
581C4⋊C4×C61C2411yescharacteristic
582C4⋊C4×C61C2411yescharacteristic
583C4⋊C4×C61C2411yescharacteristic
584C4⋊C4×C61C2411yescharacteristic
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C42×C61—21no—
592C42×C61—21no—
593C42×C61—21no—
594C42×C61—21no—
595C42×C61C2411yescharacteristic
596C42×C61C2411yescharacteristic
597C42×C61C2411yescharacteristic
598C22⋊Dic61—21no—
599C22⋊Dic61—21no—
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602#11758202—22no—
603#11758202—41no—
604#11758202—41no—
605#11758201—22no—
606#11758201—22no—
607#11758201—41no—
608#11758200—41no—
609#11758200—41no—
610#11758200—41no—
611#11758200—41no—
612#11758199—41no—
613#11758199—41no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
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#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198C2×D411yescharacteristic
642#11758198C2×D411yescharacteristic
643#11758198C2×D411yescharacteristic
644#11758198C2×D411yescharacteristic
645#11758198C2×D411yescharacteristic
646#11758198C2×D411yescharacteristic
647#11758198C2×D411yescharacteristic
648#11758198C2×D411yescharacteristic
649#11758198C2×D411yescharacteristic
650#11758198C2×D411yescharacteristic
651C4⋊Dic61—21no—
652C4⋊Dic61—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61—21no—
657C4⋊Dic61—21no—
658C4⋊Dic61—21no—
659C4⋊Dic61C2×D411yescharacteristic
660C4⋊Dic61C2×D411yescharacteristic
661C4⋊Dic61C2×D411yescharacteristic
662C4⋊Dic61C2411yescharacteristic
663C4⋊Dic61C2411yescharacteristic
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196C2×D411yescharacteristic
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675C4×Dic61—21no—
676C4×Dic61—21no—
677C4×Dic61—21no—
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61C2×D411yescharacteristic
685C4×Dic61C2×D411yescharacteristic
686C4×Dic61C2411yescharacteristic
687C2×#92418C2411yescharacteristic
688C2×#92418C2411yescharacteristic
689C2×#92418C2411yescharacteristic
690C2×#92418C2411yescharacteristic
691Dic244—41no—
692Dic244—41no—
693D488—41no—
694D488—41no—
695#11758190—41no—
696#11758190—41no—
697#11758190—41no—
698#11758190—41no—
699#11758190—41no—
700#11758189—41no—
701#11758189—41no—
702#11758189—41no—
703#11758189—41no—
704C8×D61—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C22×D61—21no—
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—42no—
712C22×D61—81no—
713C22×D61—81no—
714C22×D61—81no—
715C22×D61—81no—
716C22×D61—81no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61—81no—
720C22×D61C22×D411yescharacteristic
721C22×D61C22×D411yescharacteristic
722C22×D61C22×D411yescharacteristic
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—21no—
726Q8×C61—41no—
727Q8×C61—81no—
728Q8×C61—81no—
729Q8×C61—81no—
730Q8×C61H(5,𝔽2)12yes—
731D4×C61—21no—
732D4×C61—21no—
733D4×C61—21no—
734D4×C61—21no—
735D4×C61—81no—
736D4×C61—81no—
737C2×C4×C61—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—81no—
744C2×C4×C61—81no—
745C2×C4×C61C22×D411yescharacteristic
746C2×C4×C61C22×D411yescharacteristic
747C2×C4×C61C22×D411yescharacteristic
748C2×C4×C61C22×D411yescharacteristic
749C2×C4×C61C22×D411yescharacteristic
750C2×C4×C61C22×D411yescharacteristic
751C2×C4×C61C2511yescharacteristic
752C22⋊D61—42no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C22⋊D61—81no—
756C22⋊D61—81no—
757C22⋊D61—81no—
758C22⋊D61—81no—
759C22⋊D61—81no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—81no—
766C2×Dic61C22×D411yescharacteristic
767C2×Dic61C22×D411yescharacteristic
768C2×Dic61C22×D411yescharacteristic
769C2×Dic61C22×D411yescharacteristic
770C2×Dic61C22×D411yescharacteristic
771D244—21no—
772D244—21no—
773D244—21no—
774D244—21no—
775D244—21no—
776D244—21no—
777D244—41no—
778D244—41no—
779D244—41no—
780D244—42no—
781D244—42no—
782D244—81no—
783D244—81no—
784D244—81no—
785D244—81no—
786D244—81no—
787D244—81no—
788C4×D61—21no—
789C4×D61—21no—
790C4×D61—21no—
791C4×D61—21no—
792C4×D61—21no—
793C4×D61—21no—
794C4×D61—41no—
795C4×D61—41no—
796C4×D61—42no—
797C4×D61—42no—
798C4×D61—42no—
799C4×D61—42no—
800C4×D61—81no—
801C4×D61—81no—
802C4×D61—81no—
803C4×D61—81no—
804C4×D61—81no—
805Dic122—21no—
806Dic122—21no—
807Dic122—21no—
808Dic122—21no—
809Dic122—21no—
810Dic122—21no—
811Dic122—42no—
812Dic122—42no—
813Dic122—81no—
814Dic122—81no—
815C8×C61—21no—
816C8×C61—21no—
817C8×C61—21no—
818C8×C61—21no—
819#92418—21no—
820#92418—21no—
821#92418—21no—
822#92418—21no—
823#62092—611nomaximal, Sylow
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61C23×D411yescharacteristic
831C2×D61—21no—
832C2×D61—21no—
833C2×D61—21no—
834C2×D61—21no—
835C2×D61—21no—
836C2×D61—21no—
837C2×D61—21no—
838C2×D61—21no—
839C2×D61—21no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—162no—
850C2×D61—162no—
851C2×D61—162no—
852C4×C61—21no—
853C4×C61—21no—
854C4×C61—21no—
855C4×C61—21no—
856C4×C61—21no—
857C4×C61—21no—
858C4×C61—22no—
859C4×C61—41no—
860C4×C61—41no—
861C4×C61—41no—
862C4×C61—41no—
863C4×C61—41no—
864C4×C61C2×H(5,𝔽2)11yescharacteristic
865C4×C61#58511yescharacteristic
866Dic61—21no—
867Dic61—21no—
868Dic61—21no—
869Dic61—21no—
870Dic61—21no—
871Dic61—41no—
872Dic61—41no—
873Dic61—41no—
874Dic61—41no—
875Dic61—41no—
876#3558—611no—
877#3518—611no—
878#3401—611no—
879#3401—611no—
880#3375—611no—
881#3375D6111yescharacteristic, complemented
882#3324—611no—
883#3324—611no—
884#3319—611no—
885#3319—611no—
886#3313—611no—
887#3313—611no—
888#3277—611no—
889#3277—611no—
890#3266—611no—
891#3266—611no—
892#3265—611no—
893#3265—611no—
894#3262—611no—
895#3262—611no—
896#3254—611no—
897#3224—611no—
898#3224—611no—
899#3215—611no—
900#3121—611no—
901#3121—611no—
902#3115—611no—
903#3043—611no—
904#3043—611no—
905#3040—611no—
906#2995—611no—
907C2×C61—81no—
908C2×C61—81no—
909C2×C61#348811yescharacteristic
910C2×C61#358511yescharacteristic
911C2×C61#358611yescharacteristic
912D61—41no—
913D61—41no—
914D61—41no—
915D61—81no—
916D61—81no—
917D61—81no—
918C2×#137—611no—
919C2×#137—611no—
920C2×#137—611no—
921C2×AGL(1,ℤ/8)—611no—
922C22×SD16—611no—
923C22×SD16—611no—
924#562—1221no—
925H(3,𝔽4)—1221no—
926#559—611no—
927#559C2×D6111yescharacteristic
928Q82C2×D6111yescharacteristic, complemented
929#556—611no—
930#556—611no—
931#556—611no—
932#556—1221no—
933#556—1221no—
934#556—1221no—
935#555—611no—
936#555—1221no—
937D4×Q8—611no—
938#548—611no—
939#548—611no—
940#548—611no—
941#548—611no—
942#546—611no—
943#546—611no—
944#546—1221no—
945#546—1221no—
946D42—611no—
947D42—611no—
948#542—611no—
949#542—611no—
950#542—611no—
951#542—611no—
952#542—1221no—
953#542—1221no—
954#538—1221no—
955#538—1221no—
956#538—1221no—
957#535—611no—
958#535—611no—
959#534—1221no—
960#533—611no—
961#533—1221no—
962#532—611no—
963#529—611no—
964#529—1221no—
965C2×#124—611no—
966#519—611no—
967#519—611no—
968C4×#41—611no—
969#497—611no—
970#497—611no—
971#496—611no—
972#496—611no—
973#495—611no—
974#495—611no—
975#489—611no—
976#489—611no—
977#489C2×D6111yescharacteristic, complemented
978#489C2×D6111yescharacteristic, complemented
979#486—611no—
980#486C2×D6111yescharacteristic
981#485—611no—
982#485—611no—
983#482—611no—
984#482—611no—
985#482—611no—
986#482—611no—
987#477—611no—
988#477—611no—
989#477—611no—
990#477C2×D6111yescharacteristic, complemented
991#475—611no—
992#474—611no—
993#474—611no—
994#474—611no—
995#474C2×D6111yescharacteristic, complemented
996#474C2×D6111yescharacteristic, complemented
997#468—611no—
998#468—611no—
999#468—611no—
1000#468—611no—
1001#468—611no—
1002#468—611no—
1003#468—611no—
1004#468—611no—
1005#467—611no—
1006#467—611no—
1007#466—611no—
1008#466—611no—
1009#464—611no—
1010#464—611no—
1011#464—611no—
1012#464—611no—
1013#464—611no—
1014#464—611no—
1015#464—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464—611no—
1020#464—611no—
1021#464C2×D6111yescharacteristic, complemented
1022#464C2×D6111yescharacteristic, complemented
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463—611no—
1029#461—611no—
1030#461—611no—
1031#460—611no—
1032#460—611no—
1033#460—611no—
1034#460—611no—
1035#460—611no—
1036#460—611no—
1037#460C2×D6111yescharacteristic
1038#459—611no—
1039#452—611no—
1040#452—611no—
1041#451—611no—
1042#451—611no—
1043#451—611no—
1044#451—611no—
1045#450—611no—
1046#450—611no—
1047#450—611no—
1048#450—611no—
1049#449—611no—
1050#449—611no—
1051#449—611no—
1052#449—611no—
1053#448—611no—
1054#448—611no—
1055#447—611no—
1056#447—611no—
1057#446—611no—
1058#446C2×D6111yescharacteristic, complemented
1059#442—611no—
1060#442—611no—
1061#441—611no—
1062#441—611no—
1063#440—611no—
1064#440—611no—
1065#440C2×D6111yescharacteristic, complemented
1066#440C2×D6111yescharacteristic, complemented
1067C4×Q16—611no—
1068C4×Q16C2×D6111yescharacteristic, complemented
1069C4×SD16—611no—
1070C4×SD16—611no—
1071#436—611no—
1072#436—611no—
1073#435—611no—
1074#435—611no—
1075#435—611no—
1076#435—611no—
1077#433—611no—
1078#433—611no—
1079#432—611no—
1080#424—611no—
1081#424—611no—
1082#423—611no—
1083#419—611no—
1084#418—611no—
1085#418—611no—
1086#418—611no—
1087#416—611no—
1088#416—611no—
1089C61#6209211yescharacteristic, complemented, Sylow
1090C2×#41—611no—
1091C2×#41—611no—
1092C2×#41—611no—
1093C2×#41—1221no—
1094C22×Q8—611no—
1095C22×Q8—611no—
1096C22×Q8—611no—
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—611no—
1100C22×D4—1221no—
1101C22×D4—1221no—
1102#137—2442no—
1103#137—2442no—
1104#137—2442no—
1105AGL(1,ℤ/8)—2442no—
1106C2×Q16—611no—
1107C2×Q16—611no—
1108C2×Q16—611no—
1109C2×Q16—611no—
1110C2×Q16—611no—
1111C2×Q16C22×D6111yescharacteristic
1112C2×SD16—611no—
1113C2×SD16—611no—
1114C2×SD16—611no—
1115C2×SD16—611no—
1116C2×SD16—611no—
1117C2×SD16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—611no—
1122C2×SD16—611no—
1123C2×SD16—611no—
1124C2×SD16—2442no—
1125C2×SD16—2442no—
1126C2×SD16C22×D6111yescharacteristic
1127C2×SD16C22×D6111yescharacteristic
1128C2×D8—611no—
1129C2×D8—611no—
1130C2×D8—611no—
1131C2×D8—611no—
1132C2×M16—611no—
1133C2×M16—611no—
1134C2×M16—611no—
1135C2×M16—611no—
1136C22×C8—611no—
1137C22×C8—611no—
1138C4⋊Q8—21no—
1139C4⋊Q8—21no—
1140C4⋊Q8—21no—
1141C4⋊Q8—611no—
1142C4⋊Q8—611no—
1143C4⋊Q8—1221no—
1144C4⋊Q8C22×D6111yescharacteristic
1145C4⋊Q8C22×D6111yescharacteristic
1146C4⋊Q8C22×D6111yescharacteristic
1147#127—611no—
1148#127—611no—
1149#127C22×D6111yescharacteristic
1150#126—611no—
1151#126—611no—
1152#126—1221no—
1153#126—1221no—
1154#126—1221no—
1155#126—1221no—
1156#126—1221no—
1157#126—1221no—
1158#126—1221no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#125—611no—
1163#125—1221no—
1164#124—21no—
1165#124—611no—
1166#124—611no—
1167#124—611no—
1168#124—611no—
1169#124—611no—
1170#124—611no—
1171#124—611no—
1172#124—1221no—
1173#124—1221no—
1174#124—1221no—
1175#124—1221no—
1176#124—1221no—
1177#124—1221no—
1178#124—1221no—
1179#124—1221no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124C22×D6111yescharacteristic
1189#124C22×D6111yescharacteristic
1190#123—21no—
1191#123—21no—
1192#123—611no—
1193#123—611no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202C22⋊Q8—611no—
1203C22⋊Q8—611no—
1204C22⋊Q8—611no—
1205C22⋊Q8—611no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218C22⋊Q8—1221no—
1219C22⋊Q8—1221no—
1220C22⋊Q8—1221no—
1221#121—611no—
1222#121—611no—
1223#121—611no—
1224#121—611no—
1225#121—611no—
1226#121—611no—
1227#121—611no—
1228#121—1221no—
1229#121—1221no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#120—1221no—
1243#120—1221no—
1244#120—1221no—
1245#120—1221no—
1246#120—1221no—
1247#120—1221no—
1248#120—1221no—
1249#120—1221no—
1250#120—1221no—
1251#120—1221no—
1252C4×Q8—21no—
1253C4×Q8—611no—
1254C4×Q8—611no—
1255C4×Q8—611no—
1256C4×Q8—611no—
1257C4×Q8—611no—
1258C4×Q8—611no—
1259C4×Q8—1221no—
1260C4×Q8—1221no—
1261C4×Q8—1221no—
1262C4×Q8—1221no—
1263C4×Q8—1221no—
1264C4×Q8—1221no—
1265C4×Q8—1221no—
1266C4×Q8C22×D6111yescharacteristic
1267C4×Q8C22×D6111yescharacteristic
1268C4×Q8C22×D6111yescharacteristic
1269C4×Q8C22×D6111yescharacteristic
1270C4×Q8C22×D6111yescharacteristic
1271C4×D4—21no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—1221no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4C22×D6111yescharacteristic
1289C4×D4C22×D6111yescharacteristic
1290#117—611no—
1291#117—611no—
1292#117—611no—
1293#117—611no—
1294#117—611no—
1295#117—1221no—
1296#117—1221no—
1297#117—1221no—
1298#117—1221no—
1299#117—1221no—
1300#117—1221no—
1301#117—1221no—
1302#117—1221no—
1303C2×C22⋊C4—1221no—
1304C2×C22⋊C4—1221no—
1305C2×C22⋊C4—1221no—
1306C2×C22⋊C4—1221no—
1307C2×C42—611no—
1308C2×C42—1221no—
1309#107—611no—
1310#107—611no—
1311#107—611no—
1312#107C22×D6111yescharacteristic
1313#107C22×D6111yescharacteristic
1314#107C22×D6111yescharacteristic
1315#106—611no—
1316#106—611no—
1317C4⋊C8—611no—
1318C4⋊C8—611no—
1319C4⋊C8—611no—
1320C4⋊C8—611no—
1321C4⋊C8—611no—
1322C4⋊C8—611no—
1323C4⋊C8—611no—
1324C4⋊C8C22×D6111yescharacteristic
1325C4⋊C8C22×D6111yescharacteristic
1326C4⋊C8C22×D6111yescharacteristic
1327#103—611no—
1328#103—611no—
1329#103—611no—
1330#103—611no—
1331#103—611no—
1332#103—611no—
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103C22×D6111yescharacteristic
1338#103C22×D6111yescharacteristic
1339#103C22×D6111yescharacteristic
1340#103C22×D6111yescharacteristic
1341#102—611no—
1342#102—611no—
1343#102—611no—
1344#102—611no—
1345#102—611no—
1346#102—611no—
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102C22×D6111yescharacteristic
1354#102C22×D6111yescharacteristic
1355#102C22×D6111yescharacteristic
1356#102C22×D6111yescharacteristic
1357#102C22×D6111yescharacteristic
1358#102C22×D6111yescharacteristic
1359C22⋊C8—611no—
1360C22⋊C8—611no—
1361C22⋊C8—611no—
1362C22⋊C8—611no—
1363C22⋊C8—611no—
1364C22⋊C8—611no—
1365#97—611no—
1366#97—611no—
1367#97C22×D6111yescharacteristic
1368#97C22×D6111yescharacteristic
1369C4×C8—611no—
1370C4×C8C22×D6111yescharacteristic
1371C24—1221no—
1372C24—1221no—
1373C24—1221no—
1374#41—1222no—
1375#41—4882no—
1376#41—2441no—
1377#41—2441no—
1378#41—2441no—
1379#41—2441no—
1380#41—2441no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—21no—
1384C2×Q8—611no—
1385C2×Q8—611no—
1386C2×Q8—611no—
1387C2×Q8—1221no—
1388C2×Q8—1221no—
1389C2×Q8—1221no—
1390C2×Q8—1221no—
1391C2×Q8—1222no—
1392C2×Q8—1222no—
1393C2×Q8—2441no—
1394C2×Q8—2441no—
1395C2×Q8—2441no—
1396C2×Q8—2441no—
1397C2×Q8D4×D6111yescharacteristic
1398C2×Q8C23×D6111yescharacteristic
1399C2×Q8C23×D6111yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—611no—
1403C2×D4—611no—
1404C2×D4—611no—
1405C2×D4—611no—
1406C2×D4—611no—
1407C2×D4—611no—
1408C2×D4—1221no—
1409C2×D4—1221no—
1410C2×D4—1221no—
1411C2×D4—1221no—
1412C2×D4—1221no—
1413C2×D4—1221no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—4882no—
1425C2×D4—4882no—
1426C2×D4—2441no—
1427C2×D4—2441no—
1428C2×D4—2441no—
1429C2×D4—2441no—
1430C2×D4—2441no—
1431C2×D4—2441no—
1432C2×D4C23×D6111yescharacteristic
1433C2×D4C23×D6111yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—611no—
1437C22×C4—611no—
1438C22×C4—611no—
1439C22×C4—611no—
1440C22×C4—611no—
1441C22×C4—1221no—
1442C22×C4—1221no—
1443C22×C4—1221no—
1444C22×C4—1221no—
1445C22×C4—1221no—
1446C22×C4—1221no—
1447C22×C4—1221no—
1448C22×C4—1221no—
1449C22×C4—1221no—
1450C22×C4—1221no—
1451Q16—22no—
1452Q16—1222no—
1453Q16—2441no—
1454Q16—2441no—
1455Q16—2441no—
1456Q16—2441no—
1457SD16—22no—
1458SD16—22no—
1459SD16—1222no—
1460SD16—1222no—
1461SD16—2441no—
1462SD16—2441no—
1463SD16—2441no—
1464SD16—2441no—
1465SD16—2441no—
1466SD16—2441no—
1467SD16—2441no—
1468SD16—2441no—
1469SD16—2441no—
1470SD16—2441no—
1471D8—2441no—
1472D8—2441no—
1473D8—2441no—
1474D8—2441no—
1475M16—2441no—
1476M16—2441no—
1477M16—2441no—
1478M16—2441no—
1479C2×C8—611no—
1480C2×C8—611no—
1481C2×C8—611no—
1482C2×C8—611no—
1483C2×C8—2441no—
1484C2×C8—2441no—
1485C2×C8C23×D6111yescharacteristic
1486C2×C8C23×D6111yescharacteristic
1487C2×C8C23×D6111yescharacteristic
1488C2×C8C23×D6111yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—611no—
1497C4⋊C4—611no—
1498C4⋊C4—611no—
1499C4⋊C4—611no—
1500C4⋊C4—611no—
1501C4⋊C4—611no—
1502C4⋊C4—611no—
1503C4⋊C4—611no—
1504C4⋊C4—611no—
1505C4⋊C4—1221no—
1506C4⋊C4—1221no—
1507C4⋊C4—1221no—
1508C4⋊C4—1221no—
1509C4⋊C4—1221no—
1510C4⋊C4—1221no—
1511C4⋊C4—1221no—
1512C4⋊C4—1221no—
1513C4⋊C4—1221no—
1514C4⋊C4—1221no—
1515C4⋊C4—1221no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4D4×D6111yescharacteristic
1521C4⋊C4D4×D6111yescharacteristic
1522C4⋊C4D4×D6111yescharacteristic
1523C4⋊C4C23×D6111yescharacteristic
1524C4⋊C4C23×D6111yescharacteristic
1525C4⋊C4C23×D6111yescharacteristic
1526C4⋊C4C23×D6111yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—611no—
1534C22⋊C4—611no—
1535C22⋊C4—611no—
1536C22⋊C4—611no—
1537C22⋊C4—611no—
1538C22⋊C4—611no—
1539C22⋊C4—611no—
1540C22⋊C4—611no—
1541C22⋊C4—611no—
1542C22⋊C4—611no—
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⋊C4—1221no—
1552C22⋊C4—1221no—
1553C22⋊C4—1221no—
1554C22⋊C4—1221no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—611no—
1579C42—611no—
1580C42—611no—
1581C42—1221no—
1582C42—1221no—
1583C42—1221no—
1584C42—1221no—
1585C42—1221no—
1586C42—1221no—
1587C42—1221no—
1588C42—1221no—
1589C42—1221no—
1590C42C23×D6111yescharacteristic
1591C42C23×D6111yescharacteristic
1592C42C23×D6111yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—611no—
1596C23—611no—
1597C23—611no—
1598C23—1221no—
1599C23—1221no—
1600C23—1221no—
1601C23—4881no—
1602C23—4881no—
1603C23—4881no—
1604C23—4881no—
1605C23—4881no—
1606C23—4881no—
1607C23—4881no—
1608C23—4881no—
1609C23—2442no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—41no—
1614Q8—81no—
1615Q8—81no—
1616Q8—81no—
1617Q8—1221no—
1618Q8—1221no—
1619Q8—1221no—
1620Q8—1221no—
1621Q8—1221no—
1622Q8—1221no—
1623Q8—4881no—
1624Q8—4881no—
1625Q8—2442no—
1626Q8—2442no—
1627Q8#1451982312yes—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—81no—
1633D4—81no—
1634D4—1221no—
1635D4—1221no—
1636D4—1221no—
1637D4—1221no—
1638D4—1221no—
1639D4—1221no—
1640D4—4881no—
1641D4—4881no—
1642D4—4881no—
1643D4—4881no—
1644D4—4881no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—2441no—
1654D4—2441no—
1655D4—2441no—
1656D4—2442no—
1657D4—2442no—
1658D4—2442no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—611no—
1668C2×C4—611no—
1669C2×C4—611no—
1670C2×C4—611no—
1671C2×C4—611no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—4881no—
1684C2×C4—4881no—
1685C2×C4—4881no—
1686C2×C4—4881no—
1687C2×C4—4881no—
1688C2×C4—4881no—
1689C2×C4—2441no—
1690C2×C4—2441no—
1691C2×C4—2442no—
1692C2×C4—2442no—
1693C2×C4—2442no—
1694C2×C4—2442no—
1695C2×C4C2×D4×D6111yescharacteristic
1696C2×C4C2×D4×D6111yescharacteristic
1697C2×C4C2×D4×D6111yescharacteristic
1698C2×C4C2×D4×D6111yescharacteristic
1699C2×C4C2×D4×D6111yescharacteristic
1700C2×C4C2×D4×D6111yescharacteristic
1701C2×C4C24×D6111yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1221no—
1707C8—1221no—
1708C8—1221no—
1709C8—1221no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—1221no—
1717C22—1221no—
1718C22—1221no—
1719C22—1221no—
1720C22—1221no—
1721C22—1221no—
1722C22—1221no—
1723C22—1221no—
1724C22—1221no—
1725C22—9762no—
1726C22—9762no—
1727C22—9762no—
1728C22—2441no—
1729C22—2441no—
1730C22—2441no—
1731C22—2441no—
1732C22—2441no—
1733C22—2441no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22C22×D4×D6111yescharacteristic
1738C4—22no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—1221no—
1751C4—1221no—
1752C4—1221no—
1753C4—1221no—
1754C4—1221no—
1755C4—2441no—
1756C4—2441no—
1757C4—2441no—
1758C4—2441no—
1759C4—2441no—
1760C4C2×#1451982311yescharacteristic
1761C4#1684059911yescharacteristic
1762C2—81no—
1763C2—81no—
1764C2—4881no—
1765C2—4881no—
1766C2—4881no—
1767C2—2441no—
1768C2—2441no—
1769C2—2441no—
1770C2#2145948511yescharacteristic
1771C2#2146059411yescharacteristic
1772C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3375C2
socleC22×C61C23×D4
hypercenter#3375D61
hypocenterC61#62092
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3375

Complements

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

NH ≅ G/Ntype
1. #21460339C2semidirect
2. #21459837C2semidirect
3. #21458887C2semidirect
4. #21458879C2semidirect
5. #21458633C2semidirect
6. #21458049C2semidirect
7. #21458047C2semidirect
8. #21457974C2semidirect
9. #21457972C2semidirect
10. #21457884C2semidirect
11. #21457882C2semidirect
12. #21457475C2semidirect
13. #21457471C2semidirect
14. #21457331C2semidirect
15. #21457324C2semidirect
16. #21457316C2semidirect
17. #21457309C2semidirect
18. #21457282C2semidirect
19. #21457279C2semidirect
20. #21457208C2semidirect
21. #21456916C2semidirect
22. #21456914C2semidirect
23. #21456823C2semidirect
24. #21456054C2semidirect
25. #21456046C2semidirect
26. #21455968C2semidirect
27. #21455338C2semidirect
28. #21455335C2semidirect
29. #21455310C2semidirect
30. #21454988C2semidirect
31. C61×#3375C2semidirect
32. C2×#14519809C22semidirect
33. C2×#14519809C22semidirect
34. C2×#14519806C22semidirect
36. C2×SD16×D61C22semidirect
37. C2×SD16×D61C22semidirect
43. #16840486C22semidirect
44. #16840486C22semidirect
46. #16840485C22semidirect
48. #16840478C22semidirect
49. Q8×D244C22semidirect
51. #16840424C22semidirect
52. #16840424C22semidirect
62. #16840386C22semidirect
63. #16840386C22semidirect
73. #16840317C22semidirect
78. #16840238C22semidirect
79. #16840238C22semidirect
80. C4×#11758226C22semidirect
81. #16840157C22semidirect
82. #16840156C22semidirect
85. #16840146C22semidirect
86. #16840144C22semidirect
87. #16840124C22semidirect
88. #16840124C22semidirect
90. #16840105C22semidirect
91. #16840101C22semidirect
93. #16840089C22semidirect
95. #16840085C22semidirect
96. #16840056C22semidirect
97. #16840056C22semidirect
98. #16840054C22semidirect
99. #16840045C22semidirect
100. #16840041C22semidirect
101. #16840039C22semidirect
102. #16840039C22semidirect
103. #16840011C22semidirect
105. #16840009C22semidirect
106. #16840009C22semidirect
107. #16840009C22semidirect
109. #16840007C22semidirect
110. #16840007C22semidirect
111. #16840004C22semidirect
112. #16840002C22semidirect
115. #16839987C22semidirect
116. #16839987C22semidirect
117. #16839986C22semidirect
118. #16839985C22semidirect
119. #16839985C22semidirect
120. #16839984C22semidirect
121. #16839984C22semidirect
122. #16839984C22semidirect
123. #16839983C22semidirect
124. #16839983C22semidirect
125. #16839982C22semidirect
126. #16839981C22semidirect
127. #16839980C22semidirect
128. #16839978C22semidirect
129. #16839978C22semidirect
130. #16839977C22semidirect
131. #16839976C22semidirect
132. #16839974C22semidirect
133. #16839968C22semidirect
134. #16839967C22semidirect
137. #16839961C22semidirect
138. #16839961C22semidirect
139. #16839960C22semidirect
141. #16839956C22semidirect
142. #16839927C22semidirect
143. #16839925C22semidirect
144. #16839919C22semidirect
145. #16839919C22semidirect
146. #16839919C22semidirect
147. #16839916C22semidirect
150. #16839914C22semidirect
151. #16839914C22semidirect
152. #16839910C22semidirect
153. #16839910C22semidirect
154. #16839908C22semidirect
155. #16839906C22semidirect
158. #16839897C22semidirect
159. #16839897C22semidirect
160. #16839893C22semidirect
161. #16839875C22semidirect
162. #16839872C22semidirect
163. #16839870C22semidirect
164. #16839867C22semidirect
165. #16839860C22semidirect
166. #16839860C22semidirect
167. C4×#11758202C22semidirect
168. C4×#11758190C22semidirect
169. C4×#11758200C22semidirect
170. #16839841C22semidirect
171. #16839839C22semidirect
172. #16839835C22semidirect
173. #16839835C22semidirect
174. #16839832C22semidirect
175. #16839832C22semidirect
176. #16839824C22semidirect
177. #16839821C22semidirect
178. #16839817C22semidirect
179. #16839787C22semidirect
180. #16839787C22semidirect
181. #16839784C22semidirect
182. #16839769C22semidirect
184. #16839765C22semidirect
185. #16839765C22semidirect
186. #16839757C22semidirect
187. #16839755C22semidirect
189. Q82×C61C22semidirect
190. C61×#489C22semidirect
191. C61×#489C22semidirect
193. C61×#477C22semidirect
194. C61×#474C22semidirect
195. C61×#474C22semidirect
196. C61×#464C22semidirect
197. C61×#464C22semidirect
199. C61×#446C22semidirect
200. C61×#440C22semidirect
201. C61×#440C22semidirect
202. C4×Q16×C61C22semidirect
881. #3375D61semidirect
928. Q82C2×D61semidirect
977. #489C2×D61semidirect
978. #489C2×D61semidirect
990. #477C2×D61semidirect
995. #474C2×D61semidirect
996. #474C2×D61semidirect
1021. #464C2×D61semidirect
1022. #464C2×D61semidirect
1058. #446C2×D61semidirect
1065. #440C2×D61semidirect
1066. #440C2×D61semidirect
1068. C4×Q16C2×D61semidirect
1089. C61#62092semidirect

Maximal subgroups

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

subgroupindex
#214603392
#214598372
#214588872
#214588792
#214586332
#214580492
#214580472
#214579742
#214579722
#214578842
#214578822
#214574752
#214574712
#214573312
#214573242
#214573162
#214573092
#214572822
#214572792
#214572082
#214569162
#214569142
#214568232
#214560542
#214560462
#214559682
#214553382
#214553352
#214553102
#214549882
C61×#33752
#6209261