Finite Group Databasebeta

← #30555413

Subgroups — #30555413

Order 15616.

2764 conjugacy classes of subgroups.

The subgroup lattice has 2072 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840569C211yesmaximal, characteristic, complemented
2C22×#14519798C211yesmaximal, characteristic, complemented
3#21459490C211yesmaximal, characteristic, complemented
4#21459485C211yesmaximal, characteristic, complemented
5#21457550C211yesmaximal, characteristic, complemented
6#21457543C211yesmaximal, characteristic, complemented
7#21457526C211yesmaximal, characteristic, complemented
8#21457525C211yesmaximal, characteristic, complemented
9#21457523C211yesmaximal, characteristic, complemented
10D4×#11758190C211yesmaximal, characteristic, complemented
11#21457512C211yesmaximal, characteristic, complemented
12#21457410C211yesmaximal, characteristic, complemented
13#21457402C211yesmaximal, characteristic, complemented
14#21457393C211yesmaximal, characteristic, complemented
15#21457385C211yesmaximal, characteristic, complemented
16#21457347C211yesmaximal, characteristic, complemented
17#21457339C211yesmaximal, characteristic, complemented
18#21457300C211yesmaximal, characteristic, complemented
19#21457292C211yesmaximal, characteristic, complemented
20#21456290C211yesmaximal, characteristic, complemented
21#21455476C211yesmaximal, characteristic, complemented
22#465×D61C211yesmaximal, characteristic, complemented
23#21455372C211yesmaximal, characteristic, complemented
24#21455359C211yesmaximal, characteristic, complemented
25#21455138C211yesmaximal, characteristic, complemented
26#21455121C211yesmaximal, characteristic, complemented
27#21455078C211yesmaximal, characteristic, complemented
28#21455066C211yesmaximal, characteristic, complemented
29#21454697C211yesmaximal, characteristic, complemented
30#21454508C211yesmaximal, characteristic, complemented
31C61×#3282C211yesmaximal, characteristic, complemented
32C2×#14519824C2211yescharacteristic, complemented
33C2×#14519823C2211yescharacteristic, complemented
34C22×#11758226C2211yescharacteristic
35C22×#11758224C2211yescharacteristic, complemented
36#16840569—28no—
37C2×#14519809C2211yescharacteristic, complemented
38C2×#14519809C2211yescharacteristic, complemented
39C2×#14519809C2211yescharacteristic, complemented
40C2×#14519807C2211yescharacteristic, complemented
41C2×#14519802C2211yescharacteristic, complemented
42C2×#14519801C2211yescharacteristic, complemented
43C2×#14519801C2211yescharacteristic, complemented
44C2×#14519801C2211yescharacteristic, complemented
45C2×#14519798—28no—
46C2×#14519798C2211yescharacteristic
47C2×#14519798C2211yescharacteristic
48C2×#14519798C2211yescharacteristic, complemented
49C2×#14519798C2211yescharacteristic, complemented
50C2×#14519798C2211yescharacteristic, complemented
51C2×#14519798C2211yescharacteristic, complemented
52C2×#14519798C2211yescharacteristic, complemented
53C2×#14519798C2211yescharacteristic, complemented
54C2×#14519798C2211yescharacteristic, complemented
55C22×#11758202C2211yescharacteristic, complemented
56C22×#11758190C2211yescharacteristic, complemented
57C22×#11758190C2211yescharacteristic, complemented
58C2×SD16×D61C2211yescharacteristic, complemented
59C2×SD16×D61C2211yescharacteristic, complemented
60C22×#11758199C2211yescharacteristic, complemented
61C2×#14519783C2211yescharacteristic, complemented
62C22×C8×D61C2211yescharacteristic, complemented
63#16840434C2211yescharacteristic, complemented
64#16840431C2211yescharacteristic, complemented
65D4×Dic122C2211yescharacteristic, complemented
66#16840425C2211yescharacteristic, complemented
67#16840423C2211yescharacteristic
68#16840420C2211yescharacteristic, complemented
69#16840418C2211yescharacteristic, complemented
70#16840416C2211yescharacteristic, complemented
71#16840412—21no—
72#16840411C2211yescharacteristic, complemented
73#16840410—21no—
74#16840406C2211yescharacteristic, complemented
75#16840405—21no—
76#16840405C2211yescharacteristic, complemented
77#16840403—21no—
78#16840403C2211yescharacteristic, complemented
79#16840402—21no—
80#16840399—21no—
81D4×D244—21no—
82D4×D244C2211yescharacteristic
83#16840396—21no—
84#16840396C2211yescharacteristic
85#16840342—21no—
86#16840342C2211yescharacteristic, complemented
87#16840341C2211yescharacteristic, complemented
88#16840339—21no—
89#16840334—21no—
90#16840332C2211yescharacteristic, complemented
91#16840330—21no—
92#16840330C2211yescharacteristic, complemented
93#16840271—21no—
94#16840271C2211yescharacteristic
95#16840268—21no—
96C2×#14519754—21no—
97C22⋊Q8×D61C2211yescharacteristic, complemented
98#121×D61—21no—
99#121×D61C2211yescharacteristic
100#16840244C2211yescharacteristic, complemented
101#16840241C2211yescharacteristic, complemented
102#16840157C2211yescharacteristic, complemented
103#16840155C2211yescharacteristic, complemented
104#16840152C2211yescharacteristic, complemented
105#16840150C2211yescharacteristic, complemented
106#16840143C2211yescharacteristic, complemented
107#16840135C2211yescharacteristic, complemented
108#16840133C2211yescharacteristic, complemented
109#16840019C2211yescharacteristic, complemented
110#16840018C2211yescharacteristic, complemented
111#16840014C2211yescharacteristic, complemented
112#16840013C2211yescharacteristic, complemented
113#16839994C2211yescharacteristic, complemented
114#16839993C2211yescharacteristic, complemented
115#16839992C2211yescharacteristic, complemented
116#16839992C2211yescharacteristic, complemented
117#16839991C2211yescharacteristic, complemented
118#16839991C2211yescharacteristic, complemented
119#16839990C2211yescharacteristic, complemented
120#16839989C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839988C2211yescharacteristic, complemented
123#16839987C2211yescharacteristic, complemented
124#16839982C2211yescharacteristic, complemented
125#16839981C2211yescharacteristic, complemented
126#16839979C2211yescharacteristic, complemented
127#16839976C2211yescharacteristic, complemented
128#16839974C2211yescharacteristic, complemented
129#16839972C2211yescharacteristic, complemented
130#16839970C2211yescharacteristic, complemented
131#16839968C2211yescharacteristic, complemented
132#16839966C2211yescharacteristic, complemented
133#16839963C2211yescharacteristic, complemented
134#16839961C2211yescharacteristic, complemented
135#16839957C2211yescharacteristic, complemented
136#16839955C2211yescharacteristic, complemented
137#16839927C2211yescharacteristic, complemented
138#16839927C2211yescharacteristic, complemented
139#16839927C2211yescharacteristic, complemented
140#16839924C2211yescharacteristic, complemented
141#16839923C2211yescharacteristic, complemented
142#16839923C2211yescharacteristic, complemented
143#16839921C2211yescharacteristic, complemented
144#16839918C2211yescharacteristic, complemented
145#16839917C2211yescharacteristic, complemented
146#16839916C2211yescharacteristic, complemented
147#16839915C2211yescharacteristic, complemented
148#16839915C2211yescharacteristic, complemented
149#16839914C2211yescharacteristic, complemented
150#16839912C2211yescharacteristic, complemented
151#16839908C2211yescharacteristic, complemented
152#16839908C2211yescharacteristic, complemented
153#16839908C2211yescharacteristic, complemented
154#16839907C2211yescharacteristic, complemented
155#16839906C2211yescharacteristic, complemented
156#16839904C2211yescharacteristic, complemented
157#16839904C2211yescharacteristic, complemented
158#16839903C2211yescharacteristic, complemented
159#16839903C2211yescharacteristic, complemented
160#16839902C2211yescharacteristic, complemented
161#16839900C2211yescharacteristic, complemented
162#16839896C2211yescharacteristic, complemented
163#16839895C2211yescharacteristic, complemented
164#16839894C2211yescharacteristic, complemented
165#16839872C2211yescharacteristic, complemented
166#16839871C2211yescharacteristic, complemented
167#16839867C2211yescharacteristic, complemented
168#16839866C2211yescharacteristic, complemented
169C4×#11758190C2211yescharacteristic, complemented
170SD16×Dic61C2211yescharacteristic, complemented
171#16839849C2211yescharacteristic, complemented
172#16839836C2211yescharacteristic, complemented
173#16839834C2211yescharacteristic, complemented
174#16839832C2211yescharacteristic, complemented
175#16839830C2211yescharacteristic, complemented
176C8×D244C2211yescharacteristic, complemented
177C8×C22⋊D61C2211yescharacteristic, complemented
178C8×C22⋊D61C2211yescharacteristic, complemented
179#106×D61C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839762C2211yescharacteristic, complemented
182#16839762C2211yescharacteristic, complemented
183#16839760C2211yescharacteristic, complemented
184#16839760C2211yescharacteristic, complemented
185#103×D61C2211yescharacteristic, complemented
186#102×D61C2211yescharacteristic, complemented
187#16839727C2211yescharacteristic, complemented
188#16839724C2211yescharacteristic, complemented
189#16839716C2211yescharacteristic, complemented
190C2×#135×C61C2211yescharacteristic, complemented
191C22×SD16×C61C2211yescharacteristic, complemented
192C61×#548C2211yescharacteristic
193C61×#546C2211yescharacteristic, complemented
194C61×#495C2211yescharacteristic, complemented
195C61×#465C2211yescharacteristic, complemented
196C61×#465C2211yescharacteristic, complemented
197C61×#464C2211yescharacteristic, complemented
198C61×#463C2211yescharacteristic, complemented
199C61×#452C2211yescharacteristic, complemented
200C61×#451C2211yescharacteristic, complemented
201C61×#449C2211yescharacteristic, complemented
202C61×#447C2211yescharacteristic, complemented
203C4×SD16×C61C2211yescharacteristic, complemented
204C8×D4×C61C2211yescharacteristic, complemented
205#14519824—24no—
206#14519824—42no—
207#14519823—24no—
208#14519823—42no—
209C2×#11758226—21no—
210C2×#11758226—21no—
211C2×#11758226—24no—
212C2×#11758226—42no—
213C2×#11758226C2311yescharacteristic
214C2×#11758226C2311yescharacteristic
215C2×#11758226C2311yescharacteristic
216C2×#11758226C2311yescharacteristic
217C2×#11758226C2311yescharacteristic
218C2×#11758222—21no—
219C2×#11758222—21no—
220C2×#11758222C2311yescharacteristic
221C2×#11758224—24no—
222C2×#11758224—21no—
223C2×#11758224—21no—
224C2×#11758224—21no—
225C2×#11758224—21no—
226C2×#11758224—42no—
227C2×#11758224C2311yescharacteristic
228C2×#11758224C2311yescharacteristic
229C2×#11758224C2311yescharacteristic
230C2×#11758224C2311yescharacteristic
231C2×#11758224C2311yescharacteristic
232C22×Dic122—21no—
233C22×Dic122C2311yescharacteristic
234C22×Dic122C2311yescharacteristic
235C2×Q8×D61C2311yescharacteristic
236C2×Q8×D61C2311yescharacteristic
237C22×D244—21no—
238C22×D244—21no—
239C22×D244C2311yescharacteristic
240C22×D244C2311yescharacteristic
241C22×C22⋊D61—21no—
242C2×D4×D61—21no—
243C2×D4×D61—21no—
244C2×D4×D61—21no—
245C2×D4×D61—21no—
246C2×D4×D61—21no—
247C2×D4×D61C2311yescharacteristic
248C2×D4×D61C2311yescharacteristic
249C23×Dic61—21no—
250C22×C4×D61—21no—
251C22×C4×D61C2311yescharacteristic
252#14519809—24no—
253#14519809—24no—
254#14519809—42no—
255#14519807—24no—
256#14519802—24no—
257#14519801—24no—
258#14519801—24no—
259#14519801—42no—
260#14519798—24no—
261#14519798—24no—
262#14519798—24no—
263#14519798—24no—
264#14519798—24no—
265#14519798—24no—
266#14519798—24no—
267#14519798—24no—
268#14519798D418yescomplemented
269C2×#11758202—24no—
270C2×#11758202C2311yescharacteristic
271C2×#11758202C2311yescharacteristic
272C2×#11758202C2311yescharacteristic
273C2×#11758202C2311yescharacteristic
274C2×#11758202C2311yescharacteristic
275C2×#11758202C2311yescharacteristic
276C2×#11758190—24no—
277C2×#11758190—24no—
278C2×#11758190C2311yescharacteristic
279C2×#11758190C2311yescharacteristic
280C2×#11758190C2311yescharacteristic
281C2×#11758190C2311yescharacteristic
282C2×#11758190C2311yescharacteristic
283C2×#11758190C2311yescharacteristic
284C2×#11758190C2311yescharacteristic
285C2×#11758190C2311yescharacteristic
286C2×#11758190C2311yescharacteristic
287C2×#11758200C2311yescharacteristic
288C2×#11758200C2311yescharacteristic
289C2×#11758200C2311yescharacteristic
290C2×#11758201C2311yescharacteristic
291C2×#11758201C2311yescharacteristic
292C2×#11758201C2311yescharacteristic
293SD16×D61—24no—
294SD16×D61—24no—
295C2×#11758199—24no—
296C2×#11758199C2311yescharacteristic
297C2×#11758199C2311yescharacteristic
298C2×#11758199C2311yescharacteristic
299C2×#11758199C2311yescharacteristic
300C2×#11758199C2311yescharacteristic
301C2×#11758199C2311yescharacteristic
302#14519783—24no—
303C2×#11758194C2311yescharacteristic
304C2×#11758189C2311yescharacteristic
305C2×#11758189C2311yescharacteristic
306C2×#11758189C2311yescharacteristic
307C22×#92418C2311yescharacteristic
308C2×C8×D61—24no—
309C2×C8×D61C2311yescharacteristic
310C2×C8×D61C2311yescharacteristic
311C2×C8×D61C2311yescharacteristic
312C2×C8×D61C2311yescharacteristic
313C2×C8×D61C2311yescharacteristic
314#14519777C2311yescharacteristic
315#14519776—21no—
316#14519776—21no—
317#14519775C2311yescharacteristic
318#14519774—21no—
319#14519774C2311yescharacteristic
320#14519773—21no—
321#14519773C2311yescharacteristic
322#14519766—21no—
323#14519766C2311yescharacteristic
324#14519764C2311yescharacteristic
325#14519763—21no—
326#14519763—21no—
327#14519762—21no—
328#14519762D411yescharacteristic
329#14519761—21no—
330#14519761—21no—
331#14519760—21no—
332#14519759—21no—
333#14519759—21no—
334#14519759—21no—
335#14519759D411yescharacteristic
336#14519758—21no—
337#14519758—21no—
338#14519757C2311yescharacteristic
339#14519757C2311yescharacteristic
340#14519756C2311yescharacteristic
341#14519756C2311yescharacteristic
342#14519755—21no—
343#14519755—21no—
344#14519755—21no—
345#14519755D411yescharacteristic
346#14519754—21no—
347#14519754—21no—
348#14519754—21no—
349#14519754—21no—
350#14519754—21no—
351#14519754—21no—
352#14519754—21no—
353#14519754—21no—
354#14519754—21no—
355#14519754D411yescharacteristic
356#14519753—21no—
357#14519753C2311yescharacteristic
358#14519753C2311yescharacteristic
359#14519752—21no—
360#14519752—21no—
361#14519752—21no—
362#14519752—21no—
363#14519752—21no—
364#14519752C2311yescharacteristic
365#14519752C2311yescharacteristic
366#14519751—21no—
367#14519751—21no—
368#14519751—21no—
369#14519751C2311yescharacteristic
370#14519751C2311yescharacteristic
371#14519750—21no—
372#14519750—21no—
373#14519750—21no—
374#14519750—21no—
375#14519750—21no—
376#14519750—21no—
377#14519750—21no—
378#14519750—21no—
379#14519750—21no—
380#14519750D411yescharacteristic
381#14519749—21no—
382#14519749—21no—
383#14519749—21no—
384#14519749—21no—
385#14519749—21no—
386#14519749D411yescharacteristic
387#14519748—21no—
388#14519748—21no—
389#14519748C2311yescharacteristic
390#14519748C2311yescharacteristic
391#14519747—21no—
392#14519747—21no—
393#14519747—21no—
394#14519747—21no—
395#14519747—21no—
396#14519747—21no—
397#14519747—21no—
398#14519747D411yescharacteristic
399#14519746—21no—
400#14519745—21no—
401#14519745D411yescharacteristic
402Q8×Dic61C2311yescharacteristic
403C4×Dic122C2311yescharacteristic
404#14519742C2311yescharacteristic
405C4×D244—21no—
406C4×D244—21no—
407C4×D244C2311yescharacteristic
408C4×D244C2311yescharacteristic
409D4×Dic61—21no—
410D4×Dic61—21no—
411D4×Dic61C2311yescharacteristic
412#14519739—21no—
413#14519739C2311yescharacteristic
414C4×C22⋊D61—21no—
415C4×C22⋊D61—21no—
416C4×C22⋊D61—21no—
417C4×C22⋊D61C2311yescharacteristic
418C4×C22⋊D61C2311yescharacteristic
419#14519737—21no—
420#14519737—21no—
421#14519737—21no—
422#14519734—21no—
423#14519734C2311yescharacteristic
424#14519733—21no—
425C2×C4⋊Dic61—21no—
426C2×#11758196—21no—
427C2×#11758196—21no—
428C4⋊C4×D61—21no—
429C4⋊C4×D61—21no—
430C4⋊C4×D61C2311yescharacteristic
431C4⋊C4×D61C2311yescharacteristic
432C2×C22⋊Dic61—21no—
433C22⋊C4×D61—21no—
434C22⋊C4×D61—21no—
435C22⋊C4×D61—21no—
436C22⋊C4×D61—21no—
437#14519709C2311yescharacteristic
438#14519708C2311yescharacteristic
439#14519708C2311yescharacteristic
440C4⋊#92418C2311yescharacteristic
441#14519706C2311yescharacteristic
442#14519706C2311yescharacteristic
443#14519702C2311yescharacteristic
444#14519702C2311yescharacteristic
445#14519702C2311yescharacteristic
446#14519701C2311yescharacteristic
447#14519701C2311yescharacteristic
448#14519701C2311yescharacteristic
449#14519700C2311yescharacteristic
450#14519700C2311yescharacteristic
451#14519700C2311yescharacteristic
452#14519699C2311yescharacteristic
453#14519699C2311yescharacteristic
454#14519699C2311yescharacteristic
455#14519698C2311yescharacteristic
456#14519698C2311yescharacteristic
457#14519698C2311yescharacteristic
458#14519697C2311yescharacteristic
459#14519697C2311yescharacteristic
460#14519697C2311yescharacteristic
461C22⋊#92418C2311yescharacteristic
462C22⋊#92418C2311yescharacteristic
463#14519689C2311yescharacteristic
464#14519689C2311yescharacteristic
465#14519689C2311yescharacteristic
466#14519689C2311yescharacteristic
467#14519688C2311yescharacteristic
468#14519687C2311yescharacteristic
469C8×Dic61C2311yescharacteristic
470C2×#41×C61C2311yescharacteristic
471C2×#41×C61C2311yescharacteristic
472C22×Q8×C61C2311yescharacteristic
473C22×D4×C61C2311yescharacteristic
474#135×C61—24no—
475C2×Q16×C61C2311yescharacteristic
476C2×Q16×C61C2311yescharacteristic
477C2×SD16×C61—24no—
478C2×SD16×C61C2311yescharacteristic
479C2×SD16×C61C2311yescharacteristic
480C2×SD16×C61C2311yescharacteristic
481C2×SD16×C61C2311yescharacteristic
482C2×SD16×C61C2311yescharacteristic
483C2×D8×C61C2311yescharacteristic
484C2×D8×C61C2311yescharacteristic
485C22×C8×C61C2311yescharacteristic
486C22×C8×C61C2311yescharacteristic
487#124×C61—21no—
488#124×C61C2311yescharacteristic
489#124×C61C2311yescharacteristic
490#123×C61—21no—
491C22⋊Q8×C61—21no—
492C22⋊Q8×C61C2311yescharacteristic
493C22⋊Q8×C61C2311yescharacteristic
494#121×C61—21no—
495#121×C61—21no—
496#121×C61C2311yescharacteristic
497#121×C61C2311yescharacteristic
498#120×C61—21no—
499C4×Q8×C61C2311yescharacteristic
500C4×D4×C61—21no—
501C4×D4×C61C2311yescharacteristic
502C4×D4×C61C2311yescharacteristic
503C2×C22⋊C4×C61—21no—
504#106×C61C2311yescharacteristic
505C4⋊C8×C61C2311yescharacteristic
506#103×C61C2311yescharacteristic
507#103×C61C2311yescharacteristic
508#103×C61C2311yescharacteristic
509#102×C61C2311yescharacteristic
510#102×C61C2311yescharacteristic
511#102×C61C2311yescharacteristic
512C22⋊C8×C61C2311yescharacteristic
513C22⋊C8×C61C2311yescharacteristic
514C4×C8×C61C2311yescharacteristic
515C24×C61—21no—
516C23×D61—21no—
517C23×D61—21no—
518C23×D61—21no—
519C23×D61—21no—
520C23×D61C2×D411yescharacteristic
521#41×C61—22no—
522#41×C61—22no—
523#41×C61—41no—
524#41×C61—41no—
525C2×Q8×C61—21no—
526C2×Q8×C61—22no—
527C2×Q8×C61—41no—
528C2×Q8×C61C2411yescharacteristic
529C2×Q8×C61C2411yescharacteristic
530C2×Q8×C61C2411yescharacteristic
531C2×D4×C61—22no—
532C2×D4×C61—21no—
533C2×D4×C61—21no—
534C2×D4×C61—21no—
535C2×D4×C61—21no—
536C2×D4×C61—21no—
537C2×D4×C61—41no—
538C2×D4×C61C2×D411yescharacteristic
539C2×D4×C61C2411yescharacteristic
540C2×D4×C61C2411yescharacteristic
541C2×D4×C61C2411yescharacteristic
542C22×C4×C61—21no—
543C22×C4×C61—21no—
544C22×C4×C61—21no—
545C22×C4×C61—21no—
546C22×C4×C61C2411yescharacteristic
547C22×C4×C61C2411yescharacteristic
548C2×C22⋊D61—21no—
549C2×C22⋊D61—21no—
550C2×C22⋊D61—21no—
551C2×C22⋊D61—21no—
552C2×C22⋊D61—21no—
553C2×C22⋊D61—21no—
554C2×C22⋊D61—21no—
555C2×C22⋊D61—21no—
556C2×C22⋊D61—21no—
557C2×C22⋊D61—21no—
558C2×C22⋊D61—21no—
559C2×C22⋊D61—21no—
560C2×C22⋊D61—21no—
561C2×C22⋊D61—44no—
562C2×C22⋊D61C2×D411yescharacteristic
563C2×C22⋊D61C2×D411yescharacteristic
564C2×C22⋊D61C2×D411yescharacteristic
565C2×C22⋊D61C2×D411yescharacteristic
566C22×Dic61—21no—
567C22×Dic61—21no—
568C22×Dic61—21no—
569C22×Dic61—21no—
570C22×Dic61—21no—
571C22×Dic61—21no—
572C22×Dic61—21no—
573C22×Dic61—21no—
574C22×Dic61—44no—
575C22×Dic61C2×D411yescharacteristic
576#11758226—22no—
577#11758226—22no—
578#11758226—22no—
579#11758226—22no—
580#11758226—22no—
581#11758226—22no—
582#11758226—44no—
583#11758226—41no—
584#11758226—41no—
585#11758226—41no—
586#11758226—44no—
587#11758226C2×D414yes—
588Q8×D61—22no—
589Q8×D61—22no—
590Q8×D61—22no—
591Q8×D61—41no—
592#11758224—22no—
593#11758224—22no—
594#11758224—22no—
595#11758224—22no—
596#11758224—22no—
597#11758224—22no—
598#11758224—41no—
599#11758224—41no—
600#11758224—41no—
601#11758224—44no—
602#11758224—44no—
603#11758224—44no—
604#11758224—44no—
605#11758224C2×D414yescomplemented
606D4×D61—22no—
607D4×D61—22no—
608D4×D61—22no—
609D4×D61—41no—
610D4×D61—44no—
611D4×D61—44no—
612D4×D61—82no—
613D4×D61—82no—
614D4×D61—82no—
615#11758222—22no—
616#11758222—22no—
617#11758222—44no—
618#11758222—44no—
619C2×D244—21no—
620C2×D244—22no—
621C2×D244—22no—
622C2×D244—21no—
623C2×D244—21no—
624C2×D244—21no—
625C2×D244—21no—
626C2×D244—21no—
627C2×D244—21no—
628C2×D244—21no—
629C2×D244—21no—
630C2×D244—21no—
631C2×D244—21no—
632C2×D244—41no—
633C2×D244—41no—
634C2×D244—44no—
635C2×D244—44no—
636C2×D244C2×D411yescharacteristic
637C2×D244C2×D411yescharacteristic
638C2×D244C2411yescharacteristic
639C2×D244C2411yescharacteristic
640C2×D244C2411yescharacteristic
641C2×C4×D61—21no—
642C2×C4×D61—22no—
643C2×C4×D61—22no—
644C2×C4×D61—21no—
645C2×C4×D61—21no—
646C2×C4×D61—21no—
647C2×C4×D61—21no—
648C2×C4×D61—21no—
649C2×C4×D61—21no—
650C2×C4×D61—21no—
651C2×C4×D61—21no—
652C2×C4×D61—21no—
653C2×C4×D61—21no—
654C2×C4×D61—44no—
655C2×C4×D61C2×D411yescharacteristic
656C2×C4×D61C2×D411yescharacteristic
657C2×C4×D61C2411yescharacteristic
658C2×C4×D61C2411yescharacteristic
659C2×C4×D61C2411yescharacteristic
660C2×Dic122—22no—
661C2×Dic122—22no—
662C2×Dic122—21no—
663C2×Dic122—21no—
664C2×Dic122—21no—
665C2×Dic122—21no—
666C2×Dic122—41no—
667C2×Dic122—41no—
668C2×Dic122—44no—
669C2×Dic122C2×D411yescharacteristic
670C2×Dic122C2411yescharacteristic
671C2×Dic122C2411yescharacteristic
672C2×Dic122C2411yescharacteristic
673Q16×C61—22no—
674Q16×C61—41no—
675SD16×C61—22no—
676SD16×C61—22no—
677SD16×C61—22no—
678SD16×C61—22no—
679SD16×C61C2×D414yescomplemented
680D8×C61—22no—
681D8×C61—41no—
682C2×C8×C61—22no—
683C2×C8×C61—22no—
684C2×C8×C61C2411yescharacteristic
685C2×C8×C61C2411yescharacteristic
686C2×C8×C61C2411yescharacteristic
687C2×C8×C61C2411yescharacteristic
688C4⋊C4×C61—21no—
689C4⋊C4×C61—21no—
690C4⋊C4×C61—21no—
691C4⋊C4×C61C2×D411yescharacteristic
692C4⋊C4×C61C2411yescharacteristic
693C4⋊C4×C61C2411yescharacteristic
694C22⋊C4×C61—21no—
695C22⋊C4×C61—21no—
696C22⋊C4×C61—21no—
697C22⋊C4×C61—21no—
698C22⋊C4×C61—21no—
699C22⋊C4×C61—21no—
700C22⋊C4×C61—21no—
701C22⋊C4×C61—21no—
702C22⋊C4×C61—21no—
703C22⋊C4×C61C2×D411yescharacteristic
704C22⋊C4×C61C2×D411yescharacteristic
705C42×C61—21no—
706C42×C61C2411yescharacteristic
707C22⋊Dic61—21no—
708C22⋊Dic61—21no—
709C22⋊Dic61—21no—
710C22⋊Dic61—21no—
711C22⋊Dic61—21no—
712C22⋊Dic61—21no—
713C22⋊Dic61—21no—
714C22⋊Dic61C2×D411yescharacteristic
715C22⋊Dic61C2×D411yescharacteristic
716#11758202—22no—
717#11758202—22no—
718#11758202—22no—
719#11758202—22no—
720#11758202—41no—
721#11758202C2×D414yescomplemented
722#11758201—22no—
723#11758201—22no—
724#11758201—41no—
725#11758200—22no—
726#11758200—22no—
727#11758200—41no—
728#11758199—22no—
729#11758199—22no—
730#11758199—22no—
731#11758199—22no—
732#11758199—41no—
733#11758199C2×D414yescomplemented
734#11758198—21no—
735#11758198—21no—
736#11758198—21no—
737#11758198—21no—
738#11758198—21no—
739#11758198—21no—
740#11758198—21no—
741#11758198—21no—
742#11758198—21no—
743#11758198—21no—
744#11758198—21no—
745#11758198—21no—
746#11758198C2×D411yescharacteristic
747#11758198C2×D411yescharacteristic
748#11758198C2×D411yescharacteristic
749#11758198C2×D411yescharacteristic
750#11758198C2×D411yescharacteristic
751#11758198C2×D411yescharacteristic
752C4⋊Dic61—21no—
753C4⋊Dic61—21no—
754C4⋊Dic61—21no—
755C4⋊Dic61—21no—
756C4⋊Dic61—21no—
757C4⋊Dic61C2×D411yescharacteristic
758C4⋊Dic61C2411yescharacteristic
759C4⋊Dic61C2411yescharacteristic
760#11758196—21no—
761#11758196—21no—
762#11758196—21no—
763#11758196—21no—
764#11758196—21no—
765#11758196—21no—
766#11758196—21no—
767#11758196—21no—
768#11758196—21no—
769#11758196—21no—
770#11758196C2×D411yescharacteristic
771#11758196C2×D411yescharacteristic
772#11758196C2×D411yescharacteristic
773#11758196C2×D411yescharacteristic
774C4×Dic61—21no—
775C4×Dic61—21no—
776C4×Dic61—21no—
777C4×Dic61C2411yescharacteristic
778#11758194—22no—
779C2×#92418—22no—
780C2×#92418C2411yescharacteristic
781C2×#92418C2411yescharacteristic
782C2×#92418C2411yescharacteristic
783C2×#92418C2411yescharacteristic
784#11758190—22no—
785#11758190—22no—
786#11758190—22no—
787#11758190—22no—
788#11758190—22no—
789#11758190—22no—
790#11758190—41no—
791#11758190—41no—
792#11758190C2×D414yescomplemented
793#11758189—22no—
794#11758189—22no—
795#11758189—22no—
796C8×D61—22no—
797C8×D61—22no—
798C8×D61—22no—
799C8×D61—22no—
800C8×D61C2×D414yescomplemented
801C23×C61—21no—
802C23×C61—21no—
803C23×C61—21no—
804C23×C61—42no—
805C23×C61—42no—
806C23×C61—81no—
807C23×C61C22×D411yescharacteristic
808C23×C61C22×D411yescharacteristic
809C22×D61—22no—
810C22×D61—21no—
811C22×D61—22no—
812C22×D61—21no—
813C22×D61—21no—
814C22×D61—41no—
815C22×D61—42no—
816C22×D61—42no—
817C22×D61—42no—
818C22×D61—42no—
819C22×D61—42no—
820C22×D61—81no—
821C22×D61—81no—
822C22×D61—81no—
823C22×D61—81no—
824C22×D61—81no—
825C22×D61—81no—
826C22×D61—81no—
827C22×D61C22×D411yescharacteristic
828C22×D61C22×D411yescharacteristic
829C22×D61C22×D411yescharacteristic
830Q8×C61—21no—
831Q8×C61—21no—
832Q8×C61—21no—
833Q8×C61—21no—
834Q8×C61—21no—
835Q8×C61—42no—
836Q8×C61C22×D412yes—
837D4×C61—22no—
838D4×C61—21no—
839D4×C61—21no—
840D4×C61—21no—
841D4×C61—21no—
842D4×C61—21no—
843D4×C61—42no—
844D4×C61—42no—
845D4×C61—42no—
846D4×C61—42no—
847D4×C61—81no—
848D4×C61C22×D412yes—
849C2×C4×C61—21no—
850C2×C4×C61—21no—
851C2×C4×C61—21no—
852C2×C4×C61—21no—
853C2×C4×C61—21no—
854C2×C4×C61—21no—
855C2×C4×C61—21no—
856C2×C4×C61—21no—
857C2×C4×C61—21no—
858C2×C4×C61—42no—
859C2×C4×C61—42no—
860C2×C4×C61—42no—
861C2×C4×C61—81no—
862C2×C4×C61C22×D411yescharacteristic
863C2×C4×C61C22×D411yescharacteristic
864C2×C4×C61C22×D411yescharacteristic
865C2×C4×C61C22×D411yescharacteristic
866C2×C4×C61C2511yescharacteristic
867C22⋊D61—22no—
868C22⋊D61—22no—
869C22⋊D61—24no—
870C22⋊D61—22no—
871C22⋊D61—41no—
872C22⋊D61—42no—
873C22⋊D61—42no—
874C22⋊D61—42no—
875C22⋊D61—42no—
876C22⋊D61—42no—
877C22⋊D61—42no—
878C22⋊D61—42no—
879C22⋊D61—81no—
880C22⋊D61—81no—
881C22⋊D61—81no—
882C22⋊D61—81no—
883C22⋊D61—81no—
884C2×Dic61—21no—
885C2×Dic61—24no—
886C2×Dic61—22no—
887C2×Dic61—21no—
888C2×Dic61—21no—
889C2×Dic61—21no—
890C2×Dic61—21no—
891C2×Dic61—42no—
892C2×Dic61—42no—
893C2×Dic61—42no—
894C2×Dic61—42no—
895C2×Dic61—42no—
896C2×Dic61—42no—
897C2×Dic61—81no—
898C2×Dic61C22×D411yescharacteristic
899C2×Dic61C22×D411yescharacteristic
900C2×Dic61C22×D411yescharacteristic
901C2×Dic61C22×D411yescharacteristic
902C2×Dic61C22×D411yescharacteristic
903D244—24no—
904D244—22no—
905D244—21no—
906D244—21no—
907D244—21no—
908D244—21no—
909D244—21no—
910D244—41no—
911D244—42no—
912D244—42no—
913D244—42no—
914D244—42no—
915D244—42no—
916D244—42no—
917D244—81no—
918D244—81no—
919D244—81no—
920D244—81no—
921D244C22×D412yes—
922C4×D61—22no—
923C4×D61—21no—
924C4×D61—21no—
925C4×D61—21no—
926C4×D61—21no—
927C4×D61—22no—
928C4×D61—24no—
929C4×D61—42no—
930C4×D61—42no—
931C4×D61—42no—
932C4×D61—42no—
933C4×D61—42no—
934C4×D61—42no—
935C4×D61—81no—
936C4×D61—81no—
937C4×D61—81no—
938C4×D61—81no—
939C4×D61C22×D412yes—
940C4×D61H(5,𝔽2)12yes—
941Dic122—21no—
942Dic122—22no—
943Dic122—21no—
944Dic122—21no—
945Dic122—21no—
946Dic122—21no—
947Dic122—42no—
948Dic122—42no—
949Dic122—42no—
950Dic122—42no—
951Dic122C22×D412yes—
952C8×C61—21no—
953C8×C61—21no—
954C8×C61—21no—
955C8×C61C22×D412yes—
956#92418—21no—
957#92418—21no—
958#92418—21no—
959#92418C22×D412yes—
960#61055—611nomaximal, Sylow
961C22×C61—21no—
962C22×C61—21no—
963C22×C61—21no—
964C22×C61—22no—
965C22×C61—21no—
966C22×C61—21no—
967C22×C61—41no—
968C22×C61—41no—
969C22×C61—41no—
970C22×C61—41no—
971C22×C61—41no—
972C22×C61—41no—
973C22×C61—41no—
974C22×C61—41no—
975C22×C61—84no—
976C22×C61#57712yescomplemented
977C22×C61C23×D411yescharacteristic
978C2×D61—21no—
979C2×D61—21no—
980C2×D61—21no—
981C2×D61—21no—
982C2×D61—21no—
983C2×D61—21no—
984C2×D61—22no—
985C2×D61—21no—
986C2×D61—21no—
987C2×D61—44no—
988C2×D61—41no—
989C2×D61—41no—
990C2×D61—41no—
991C2×D61—41no—
992C2×D61—41no—
993C2×D61—41no—
994C2×D61—41no—
995C2×D61—41no—
996C2×D61—84no—
997C2×D61—162no—
998C2×D61—162no—
999C2×D61—162no—
1000C2×D61D4212yes—
1001C4×C61—21no—
1002C4×C61—21no—
1003C4×C61—21no—
1004C4×C61—22no—
1005C4×C61—21no—
1006C4×C61—41no—
1007C4×C61—41no—
1008C4×C61—41no—
1009C4×C61—41no—
1010C4×C61C23×D411yescharacteristic
1011C4×C61C2×H(5,𝔽2)11yescharacteristic
1012Dic61—21no—
1013Dic61—21no—
1014Dic61—22no—
1015Dic61—21no—
1016Dic61—21no—
1017Dic61—41no—
1018Dic61—41no—
1019Dic61—41no—
1020Dic61—41no—
1021Dic61D4212yes—
1022C2×#577—611no—
1023C22×#135—611no—
1024#3489—611no—
1025#3488—611no—
1026#3284—611no—
1027#3284—611no—
1028#3282—611no—
1029#3282—611no—
1030#3282—611no—
1031#3282D6111yescharacteristic, complemented
1032D4×SD16—611no—
1033D4×SD16—611no—
1034#3271—611no—
1035#3271—611no—
1036#3270—611no—
1037#3270—611no—
1038#3267—611no—
1039#3267—611no—
1040#3264—611no—
1041#3264—611no—
1042#3154—611no—
1043#3060—611no—
1044C2×#465—611no—
1045#3046—611no—
1046#3045—611no—
1047#3013—611no—
1048#3012—611no—
1049#3007—611no—
1050#3006—611no—
1051#2952—611no—
1052#2929—611no—
1053C2×C61—22no—
1054C2×C61—41no—
1055C2×C61—42no—
1056C2×C61—81no—
1057C2×C61—81no—
1058C2×C61C2×D4211yescharacteristic
1059C2×C61C2×#57711yescharacteristic
1060C2×C61#358411yescharacteristic
1061D61—22no—
1062D61—41no—
1063D61—41no—
1064D61—42no—
1065D61—81no—
1066D61—81no—
1067C2×2−1+4—611no—
1068C2×H(5,𝔽2)—611no—
1069C22×#41—611no—
1070C22×#41—611no—
1071#577—1228no—
1072C2×#137—611no—
1073C2×#137—611no—
1074C2×#137—611no—
1075C2×#137—611no—
1076C2×AGL(1,ℤ/8)—611no—
1077C2×AGL(1,ℤ/8)—611no—
1078C2×AGL(1,ℤ/8)—611no—
1079C2×AGL(1,ℤ/8)—611no—
1080C2×#135—611no—
1081C2×#135—611no—
1082C2×#135—611no—
1083C2×#135—611no—
1084C2×#135—611no—
1085C2×#135—611no—
1086C2×#135—611no—
1087C2×#135—611no—
1088C2×#135—611no—
1089C2×#135—1228no—
1090C2×#135C2×D6111yescharacteristic, complemented
1091C22×Q16—611no—
1092C22×SD16—611no—
1093C22×SD16—611no—
1094C22×SD16—611no—
1095C22×SD16—611no—
1096C22×SD16C2×D6111yescharacteristic, complemented
1097C22×D8—611no—
1098C2×#131—611no—
1099C23×C8—611no—
1100#550—611no—
1101#550—611no—
1102D4×Q8—611no—
1103D4×Q8—611no—
1104#548—611no—
1105#548—611no—
1106#548—611no—
1107#548C2×D6111yescharacteristic
1108#547—611no—
1109#547—611no—
1110#547—1221no—
1111#547—1221no—
1112#546—611no—
1113#546—611no—
1114#546—611no—
1115#546—1221no—
1116#546—1221no—
1117#546—1221no—
1118#546—1221no—
1119#546C2×D6111yescharacteristic, complemented
1120D42—611no—
1121D42—611no—
1122D42—1221no—
1123D42—1221no—
1124#537—611no—
1125#537—611no—
1126#537—1221no—
1127#537—1221no—
1128#536—611no—
1129#536—1221no—
1130#535—611no—
1131#535—1221no—
1132#525—611no—
1133#525—1221no—
1134#525—1221no—
1135C2×C22⋊Q8—611no—
1136C2×C22⋊Q8—1221no—
1137C2×#121—611no—
1138C2×#121—1221no—
1139#520—611no—
1140#520—611no—
1141#497—611no—
1142#497—611no—
1143#496—611no—
1144#496—611no—
1145#495—611no—
1146#495C2×D6111yescharacteristic, complemented
1147#492—611no—
1148#492—611no—
1149#470—611no—
1150#470—611no—
1151#469—611no—
1152#469—611no—
1153#465—611no—
1154#465—611no—
1155#465—611no—
1156#465—611no—
1157#465—611no—
1158#465—611no—
1159#465—611no—
1160#465—611no—
1161#465—611no—
1162#465—611no—
1163#465C2×D6111yescharacteristic, complemented
1164#465C2×D6111yescharacteristic, complemented
1165#464—611no—
1166#464—611no—
1167#464—611no—
1168#464C2×D6111yescharacteristic, complemented
1169#463—611no—
1170#463—611no—
1171#463—611no—
1172#463C2×D6111yescharacteristic, complemented
1173#462—611no—
1174#462—611no—
1175#461—611no—
1176#461—611no—
1177#460—611no—
1178#460—611no—
1179#459—611no—
1180#459—611no—
1181#452—611no—
1182#452—611no—
1183#452—611no—
1184#452—611no—
1185#452—611no—
1186#452—611no—
1187#452—611no—
1188#452C2×D6111yescharacteristic, complemented
1189#451—611no—
1190#451—611no—
1191#451—611no—
1192#451C2×D6111yescharacteristic, complemented
1193#450—611no—
1194#450—611no—
1195#450—611no—
1196#450—611no—
1197#449—611no—
1198#449—611no—
1199#449—611no—
1200#449—611no—
1201#449—611no—
1202#449—611no—
1203#449—611no—
1204#449C2×D6111yescharacteristic, complemented
1205#448—611no—
1206#448—611no—
1207#448—611no—
1208#448—611no—
1209#447—611no—
1210#447—611no—
1211#447—611no—
1212#447C2×D6111yescharacteristic, complemented
1213#442—611no—
1214#442—611no—
1215#441—611no—
1216#441—611no—
1217C4×SD16—611no—
1218C4×SD16—611no—
1219C4×SD16—611no—
1220C4×SD16C2×D6111yescharacteristic, complemented
1221#435—611no—
1222#435—611no—
1223#435—611no—
1224#435—611no—
1225C8×D4—611no—
1226C8×D4—611no—
1227C8×D4—611no—
1228C8×D4C2×D6111yescharacteristic, complemented
1229C2×#106—611no—
1230#424—611no—
1231#417—611no—
1232#417—611no—
1233#417—611no—
1234#417—611no—
1235C2×#103—611no—
1236C2×#102—611no—
1237#408—611no—
1238#407—611no—
1239#405—611no—
1240C61#6105511yescharacteristic, complemented, Sylow
12412−1+4—1224no—
12422−1+4—2442no—
1243H(5,𝔽2)—1224no—
1244H(5,𝔽2)—2442no—
1245C2×#41—611no—
1246C2×#41—611no—
1247C2×#41—611no—
1248C2×#41—611no—
1249C2×#41—611no—
1250C2×#41—611no—
1251C2×#41—611no—
1252C2×#41—611no—
1253C2×#41—611no—
1254C2×#41—611no—
1255C2×#41—611no—
1256C2×#41—1221no—
1257C2×#41—1221no—
1258C2×#41—1221no—
1259C2×#41—1221no—
1260C2×#41—1221no—
1261C2×#41—1221no—
1262C2×#41—1221no—
1263C2×#41—1221no—
1264C2×#41—1224no—
1265C2×#41—1224no—
1266C2×#41—2442no—
1267C2×#41—2442no—
1268C2×#41C22×D6111yescharacteristic
1269C2×#41C22×D6111yescharacteristic
1270C22×Q8—611no—
1271C22×Q8—611no—
1272C22×Q8—611no—
1273C22×Q8—611no—
1274C22×Q8—1221no—
1275C22×Q8C22×D6111yescharacteristic
1276C22×D4—611no—
1277C22×D4—611no—
1278C22×D4—611no—
1279C22×D4—611no—
1280C22×D4—1221no—
1281C22×D4—1221no—
1282C22×D4—1221no—
1283C22×D4—1221no—
1284C22×D4—1221no—
1285C22×D4—1221no—
1286C22×D4—1221no—
1287C22×D4—1221no—
1288C22×D4C22×D6111yescharacteristic
1289C23×C4—611no—
1290C23×C4—1221no—
1291C23×C4—1221no—
1292#137—1224no—
1293#137—1224no—
1294#137—1224no—
1295#137—2442no—
1296AGL(1,ℤ/8)—1224no—
1297AGL(1,ℤ/8)—1224no—
1298AGL(1,ℤ/8)—1224no—
1299AGL(1,ℤ/8)—2442no—
1300#135—24no—
1301#135—618no—
1302#135—1224no—
1303#135—1224no—
1304#135—1224no—
1305#135—1224no—
1306#135—1224no—
1307#135—1224no—
1308#135—1224no—
1309#135—1224no—
1310C2×Q16—611no—
1311C2×Q16—611no—
1312C2×Q16—611no—
1313C2×Q16—611no—
1314C2×Q16—611no—
1315C2×Q16—611no—
1316C2×Q16—1224no—
1317C2×Q16C22×D6111yescharacteristic
1318C2×Q16C22×D6111yescharacteristic
1319C2×SD16—24no—
1320C2×SD16—611no—
1321C2×SD16—611no—
1322C2×SD16—611no—
1323C2×SD16—611no—
1324C2×SD16—611no—
1325C2×SD16—611no—
1326C2×SD16—611no—
1327C2×SD16—611no—
1328C2×SD16—611no—
1329C2×SD16—611no—
1330C2×SD16—611no—
1331C2×SD16—611no—
1332C2×SD16—611no—
1333C2×SD16—611no—
1334C2×SD16—611no—
1335C2×SD16—1224no—
1336C2×SD16—1224no—
1337C2×SD16—1224no—
1338C2×SD16—1224no—
1339C2×SD16C22×D6111yescharacteristic
1340C2×SD16C22×D6111yescharacteristic
1341C2×SD16C22×D6111yescharacteristic
1342C2×SD16C22×D6111yescharacteristic
1343C2×SD16C22×D6111yescharacteristic
1344C2×D8—611no—
1345C2×D8—611no—
1346C2×D8—611no—
1347C2×D8—611no—
1348C2×D8—611no—
1349C2×D8—611no—
1350C2×D8—1224no—
1351C2×D8C22×D6111yescharacteristic
1352C2×D8C22×D6111yescharacteristic
1353#131—1224no—
1354C2×M16—611no—
1355C2×M16—611no—
1356C2×M16—611no—
1357C2×M16—611no—
1358C22×C8—611no—
1359C22×C8—611no—
1360C22×C8—611no—
1361C22×C8—611no—
1362C22×C8—611no—
1363C22×C8—611no—
1364C22×C8—1224no—
1365C22×C8C22×D6111yescharacteristic
1366C22×C8C22×D6111yescharacteristic
1367C4⋊Q8—611no—
1368C4⋊Q8—611no—
1369C4⋊Q8—1221no—
1370C4⋊Q8—1221no—
1371#127—611no—
1372#127—611no—
1373#127—1221no—
1374#127—1221no—
1375#124—21no—
1376#124—611no—
1377#124—611no—
1378#124—1221no—
1379#124—1221no—
1380#124—1221no—
1381#124C22×D6111yescharacteristic
1382#124C22×D6111yescharacteristic
1383#123—21no—
1384#123—611no—
1385#123—611no—
1386#123—1221no—
1387#123—1221no—
1388#123—1221no—
1389#123—1221no—
1390#123—1221no—
1391#123—1221no—
1392#123—1221no—
1393#123—1221no—
1394#123—1221no—
1395C22⋊Q8—21no—
1396C22⋊Q8—611no—
1397C22⋊Q8—611no—
1398C22⋊Q8—611no—
1399C22⋊Q8—611no—
1400C22⋊Q8—611no—
1401C22⋊Q8—611no—
1402C22⋊Q8—611no—
1403C22⋊Q8—611no—
1404C22⋊Q8—1221no—
1405C22⋊Q8—1221no—
1406C22⋊Q8—1221no—
1407C22⋊Q8—1221no—
1408C22⋊Q8—1221no—
1409C22⋊Q8—1221no—
1410C22⋊Q8—1221no—
1411C22⋊Q8—1221no—
1412C22⋊Q8—1221no—
1413C22⋊Q8—1221no—
1414C22⋊Q8—1221no—
1415C22⋊Q8—1221no—
1416C22⋊Q8—1221no—
1417C22⋊Q8C22×D6111yescharacteristic
1418C22⋊Q8C22×D6111yescharacteristic
1419#121—21no—
1420#121—21no—
1421#121—611no—
1422#121—611no—
1423#121—611no—
1424#121—611no—
1425#121—611no—
1426#121—611no—
1427#121—611no—
1428#121—611no—
1429#121—1221no—
1430#121—1221no—
1431#121—1221no—
1432#121—1221no—
1433#121—1221no—
1434#121—1221no—
1435#121—1221no—
1436#121—1221no—
1437#121—1221no—
1438#121—1221no—
1439#121—1221no—
1440#121—1221no—
1441#121—1221no—
1442#121—1221no—
1443#121—1221no—
1444#121—1221no—
1445#121—1221no—
1446#121—1221no—
1447#121—1221no—
1448#121—1221no—
1449#121—1221no—
1450#121—1221no—
1451#121—1221no—
1452#121—1221no—
1453#121C22×D6111yescharacteristic
1454#121C22×D6111yescharacteristic
1455#120—21no—
1456#120—611no—
1457#120—611no—
1458#120—1221no—
1459#120—1221no—
1460#120—1221no—
1461#120—1221no—
1462#120—1221no—
1463#120—1221no—
1464#120—1221no—
1465#120—1221no—
1466#120—1221no—
1467C4×Q8—611no—
1468C4×Q8—611no—
1469C4×Q8—611no—
1470C4×Q8C22×D6111yescharacteristic
1471C4×D4—21no—
1472C4×D4—611no—
1473C4×D4—611no—
1474C4×D4—611no—
1475C4×D4—611no—
1476C4×D4—611no—
1477C4×D4—611no—
1478C4×D4—1221no—
1479C4×D4—1221no—
1480C4×D4—1221no—
1481C4×D4—1221no—
1482C4×D4—1221no—
1483C4×D4—1221no—
1484C4×D4—1221no—
1485C4×D4—1221no—
1486C4×D4—1221no—
1487C4×D4—1221no—
1488C4×D4—1221no—
1489C4×D4C22×D6111yescharacteristic
1490C4×D4C22×D6111yescharacteristic
1491#117—611no—
1492#117—1221no—
1493#117—1221no—
1494C2×C4⋊C4—611no—
1495C2×C4⋊C4—611no—
1496C2×C4⋊C4—1221no—
1497C2×C4⋊C4—1221no—
1498C2×C4⋊C4—1221no—
1499C2×C4⋊C4—1221no—
1500C2×C4⋊C4—1221no—
1501C2×C22⋊C4—21no—
1502C2×C22⋊C4—1221no—
1503C2×C22⋊C4—1221no—
1504C2×C22⋊C4—1221no—
1505C2×C22⋊C4—1221no—
1506C2×C22⋊C4—1221no—
1507#106—611no—
1508#106—611no—
1509#106—611no—
1510#106C22×D6111yescharacteristic
1511C4⋊C8—611no—
1512C4⋊C8—611no—
1513C4⋊C8—611no—
1514C4⋊C8C22×D6111yescharacteristic
1515#103—611no—
1516#103—611no—
1517#103—611no—
1518#103—611no—
1519#103—611no—
1520#103—611no—
1521#103—611no—
1522#103—611no—
1523#103—611no—
1524#103C22×D6111yescharacteristic
1525#103C22×D6111yescharacteristic
1526#103C22×D6111yescharacteristic
1527#102—611no—
1528#102—611no—
1529#102—611no—
1530#102—611no—
1531#102—611no—
1532#102—611no—
1533#102—611no—
1534#102—611no—
1535#102—611no—
1536#102C22×D6111yescharacteristic
1537#102C22×D6111yescharacteristic
1538#102C22×D6111yescharacteristic
1539C22⋊C8—611no—
1540C22⋊C8—611no—
1541C22⋊C8—611no—
1542C22⋊C8—611no—
1543C22⋊C8—611no—
1544C22⋊C8—611no—
1545C22⋊C8C22×D6111yescharacteristic
1546C22⋊C8C22×D6111yescharacteristic
1547#97—611no—
1548#97—611no—
1549C4×C8—611no—
1550C4×C8C22×D6111yescharacteristic
1551C24—21no—
1552C24—611no—
1553C24—1221no—
1554C24—1221no—
1555C24—1221no—
1556C24—1221no—
1557#41—22no—
1558#41—22no—
1559#41—41no—
1560#41—41no—
1561#41—614no—
1562#41—614no—
1563#41—1222no—
1564#41—1222no—
1565#41—1222no—
1566#41—1222no—
1567#41—1222no—
1568#41—1222no—
1569#41—1222no—
1570#41—1222no—
1571#41—1222no—
1572#41—1222no—
1573#41—1222no—
1574#41—1222no—
1575#41—1222no—
1576#41—1222no—
1577#41—2444no—
1578#41—2444no—
1579#41—2444no—
1580#41—2444no—
1581#41—2441no—
1582#41—2441no—
1583#41—2441no—
1584#41—2444no—
1585#41—2444no—
1586#41—2441no—
1587#41—2441no—
1588#41—2441no—
1589#41—2444no—
1590#41—2444no—
1591C2×Q8—21no—
1592C2×Q8—22no—
1593C2×Q8—41no—
1594C2×Q8—611no—
1595C2×Q8—611no—
1596C2×Q8—611no—
1597C2×Q8—611no—
1598C2×Q8—1221no—
1599C2×Q8—1221no—
1600C2×Q8—1222no—
1601C2×Q8—1222no—
1602C2×Q8—1222no—
1603C2×Q8—1222no—
1604C2×Q8—1221no—
1605C2×Q8—1221no—
1606C2×Q8—1222no—
1607C2×Q8—2441no—
1608C2×Q8—2441no—
1609C2×Q8—2444no—
1610C2×Q8—2441no—
1611C2×Q8C23×D6111yescharacteristic
1612C2×Q8C23×D6111yescharacteristic
1613C2×Q8C23×D6111yescharacteristic
1614C2×D4—22no—
1615C2×D4—21no—
1616C2×D4—21no—
1617C2×D4—21no—
1618C2×D4—21no—
1619C2×D4—21no—
1620C2×D4—41no—
1621C2×D4—611no—
1622C2×D4—611no—
1623C2×D4—611no—
1624C2×D4—611no—
1625C2×D4—611no—
1626C2×D4—611no—
1627C2×D4—611no—
1628C2×D4—611no—
1629C2×D4—611no—
1630C2×D4—1222no—
1631C2×D4—1222no—
1632C2×D4—1221no—
1633C2×D4—1221no—
1634C2×D4—1221no—
1635C2×D4—1221no—
1636C2×D4—1221no—
1637C2×D4—1221no—
1638C2×D4—1221no—
1639C2×D4—1222no—
1640C2×D4—1222no—
1641C2×D4—1221no—
1642C2×D4—1221no—
1643C2×D4—1221no—
1644C2×D4—1221no—
1645C2×D4—1222no—
1646C2×D4—1221no—
1647C2×D4—1221no—
1648C2×D4—1221no—
1649C2×D4—1221no—
1650C2×D4—1221no—
1651C2×D4—1221no—
1652C2×D4—1221no—
1653C2×D4—1221no—
1654C2×D4—1221no—
1655C2×D4—1221no—
1656C2×D4—1221no—
1657C2×D4—1221no—
1658C2×D4—1221no—
1659C2×D4—4882no—
1660C2×D4—4882no—
1661C2×D4—4882no—
1662C2×D4—2441no—
1663C2×D4—2441no—
1664C2×D4—2444no—
1665C2×D4—2444no—
1666C2×D4—2441no—
1667C2×D4—2444no—
1668C2×D4—2444no—
1669C2×D4—2444no—
1670C2×D4D4×D6111yescharacteristic
1671C2×D4C23×D6111yescharacteristic
1672C2×D4C23×D6111yescharacteristic
1673C2×D4C23×D6111yescharacteristic
1674C22×C4—21no—
1675C22×C4—21no—
1676C22×C4—21no—
1677C22×C4—21no—
1678C22×C4—611no—
1679C22×C4—611no—
1680C22×C4—611no—
1681C22×C4—611no—
1682C22×C4—611no—
1683C22×C4—611no—
1684C22×C4—1221no—
1685C22×C4—1222no—
1686C22×C4—1222no—
1687C22×C4—1221no—
1688C22×C4—1221no—
1689C22×C4—1221no—
1690C22×C4—1221no—
1691C22×C4—1221no—
1692C22×C4—1221no—
1693C22×C4—1221no—
1694C22×C4—1221no—
1695C22×C4—1221no—
1696C22×C4—1221no—
1697C22×C4—1221no—
1698C22×C4—1221no—
1699C22×C4—1221no—
1700C22×C4—1221no—
1701C22×C4—1221no—
1702C22×C4—1221no—
1703C22×C4—1221no—
1704C22×C4—1221no—
1705C22×C4—2444no—
1706C22×C4—2444no—
1707C22×C4C23×D6111yescharacteristic
1708C22×C4C23×D6111yescharacteristic
1709Q16—22no—
1710Q16—41no—
1711Q16—614no—
1712Q16—1222no—
1713Q16—1222no—
1714Q16—1222no—
1715Q16—1222no—
1716Q16—2441no—
1717SD16—22no—
1718SD16—22no—
1719SD16—22no—
1720SD16—22no—
1721SD16—614no—
1722SD16—1222no—
1723SD16—1222no—
1724SD16—1222no—
1725SD16—1222no—
1726SD16—1222no—
1727SD16—1222no—
1728SD16—1222no—
1729SD16—1222no—
1730SD16—1222no—
1731SD16—1222no—
1732SD16—2441no—
1733SD16—2441no—
1734SD16—2441no—
1735SD16—2441no—
1736SD16D4×D6114yescomplemented
1737D8—22no—
1738D8—41no—
1739D8—614no—
1740D8—1222no—
1741D8—1222no—
1742D8—1222no—
1743D8—1222no—
1744D8—2441no—
1745M16—1222no—
1746M16—1222no—
1747M16—1222no—
1748M16—1222no—
1749C2×C8—22no—
1750C2×C8—22no—
1751C2×C8—611no—
1752C2×C8—614no—
1753C2×C8—611no—
1754C2×C8—611no—
1755C2×C8—611no—
1756C2×C8—1222no—
1757C2×C8—1222no—
1758C2×C8—1222no—
1759C2×C8—1222no—
1760C2×C8—1222no—
1761C2×C8C23×D6111yescharacteristic
1762C2×C8C23×D6111yescharacteristic
1763C2×C8C23×D6111yescharacteristic
1764C2×C8C23×D6111yescharacteristic
1765C4⋊C4—21no—
1766C4⋊C4—21no—
1767C4⋊C4—21no—
1768C4⋊C4—611no—
1769C4⋊C4—611no—
1770C4⋊C4—611no—
1771C4⋊C4—611no—
1772C4⋊C4—611no—
1773C4⋊C4—611no—
1774C4⋊C4—611no—
1775C4⋊C4—1221no—
1776C4⋊C4—1221no—
1777C4⋊C4—1221no—
1778C4⋊C4—1221no—
1779C4⋊C4—1221no—
1780C4⋊C4—1221no—
1781C4⋊C4—1221no—
1782C4⋊C4—1221no—
1783C4⋊C4—1221no—
1784C4⋊C4—1221no—
1785C4⋊C4—1221no—
1786C4⋊C4—1221no—
1787C4⋊C4—1221no—
1788C4⋊C4—1221no—
1789C4⋊C4—1221no—
1790C4⋊C4D4×D6111yescharacteristic
1791C4⋊C4C23×D6111yescharacteristic
1792C4⋊C4C23×D6111yescharacteristic
1793C22⋊C4—21no—
1794C22⋊C4—21no—
1795C22⋊C4—21no—
1796C22⋊C4—21no—
1797C22⋊C4—21no—
1798C22⋊C4—21no—
1799C22⋊C4—21no—
1800C22⋊C4—21no—
1801C22⋊C4—21no—
1802C22⋊C4—611no—
1803C22⋊C4—611no—
1804C22⋊C4—611no—
1805C22⋊C4—611no—
1806C22⋊C4—611no—
1807C22⋊C4—611no—
1808C22⋊C4—611no—
1809C22⋊C4—611no—
1810C22⋊C4—1221no—
1811C22⋊C4—1221no—
1812C22⋊C4—1221no—
1813C22⋊C4—1221no—
1814C22⋊C4—1221no—
1815C22⋊C4—1221no—
1816C22⋊C4—1221no—
1817C22⋊C4—1221no—
1818C22⋊C4—1221no—
1819C22⋊C4—1221no—
1820C22⋊C4—1221no—
1821C22⋊C4—1221no—
1822C22⋊C4—1221no—
1823C22⋊C4—1221no—
1824C22⋊C4—1221no—
1825C22⋊C4—1221no—
1826C22⋊C4—1221no—
1827C22⋊C4—1221no—
1828C22⋊C4—1221no—
1829C22⋊C4D4×D6111yescharacteristic
1830C22⋊C4D4×D6111yescharacteristic
1831C42—21no—
1832C42—611no—
1833C42—1221no—
1834C42—1221no—
1835C42—1221no—
1836C42C23×D6111yescharacteristic
1837C23—21no—
1838C23—21no—
1839C23—21no—
1840C23—42no—
1841C23—42no—
1842C23—81no—
1843C23—611no—
1844C23—611no—
1845C23—611no—
1846C23—1222no—
1847C23—1222no—
1848C23—1221no—
1849C23—1221no—
1850C23—1221no—
1851C23—4881no—
1852C23—4881no—
1853C23—4881no—
1854C23—4881no—
1855C23—4881no—
1856C23—4881no—
1857C23—4881no—
1858C23—2441no—
1859C23—2442no—
1860C23—2442no—
1861C23—2442no—
1862C23—2442no—
1863C23—2442no—
1864C23C2×D4×D6111yescharacteristic
1865C23C2×D4×D6111yescharacteristic
1866Q8—21no—
1867Q8—21no—
1868Q8—21no—
1869Q8—21no—
1870Q8—21no—
1871Q8—42no—
1872Q8—612no—
1873Q8—1222no—
1874Q8—1221no—
1875Q8—1221no—
1876Q8—1221no—
1877Q8—1221no—
1878Q8—1221no—
1879Q8—2442no—
1880Q8—2442no—
1881Q8—2442no—
1882Q8—2442no—
1883Q8C2×D4×D6112yes—
1884D4—22no—
1885D4—21no—
1886D4—21no—
1887D4—21no—
1888D4—21no—
1889D4—21no—
1890D4—42no—
1891D4—42no—
1892D4—42no—
1893D4—42no—
1894D4—81no—
1895D4—612no—
1896D4—1222no—
1897D4—1224no—
1898D4—1222no—
1899D4—1222no—
1900D4—1224no—
1901D4—1222no—
1902D4—1221no—
1903D4—1221no—
1904D4—1221no—
1905D4—1221no—
1906D4—1221no—
1907D4—4881no—
1908D4—4881no—
1909D4—4881no—
1910D4—4881no—
1911D4—4881no—
1912D4—4881no—
1913D4—4881no—
1914D4—4881no—
1915D4—4881no—
1916D4—2441no—
1917D4—2442no—
1918D4—2442no—
1919D4—2442no—
1920D4—2442no—
1921D4—2442no—
1922D4—2442no—
1923D4—2442no—
1924D4—2441no—
1925D4—2442no—
1926D4—2442no—
1927D4—2442no—
1928D4—2442no—
1929D4—2442no—
1930D4—2442no—
1931D4C2×D4×D6112yes—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—21no—
1939C2×C4—21no—
1940C2×C4—21no—
1941C2×C4—42no—
1942C2×C4—42no—
1943C2×C4—42no—
1944C2×C4—81no—
1945C2×C4—611no—
1946C2×C4—612no—
1947C2×C4—612no—
1948C2×C4—611no—
1949C2×C4—611no—
1950C2×C4—611no—
1951C2×C4—611no—
1952C2×C4—1222no—
1953C2×C4—1224no—
1954C2×C4—1222no—
1955C2×C4—1222no—
1956C2×C4—1224no—
1957C2×C4—1221no—
1958C2×C4—1221no—
1959C2×C4—1221no—
1960C2×C4—1221no—
1961C2×C4—1221no—
1962C2×C4—1221no—
1963C2×C4—1221no—
1964C2×C4—1221no—
1965C2×C4—1221no—
1966C2×C4—4881no—
1967C2×C4—4881no—
1968C2×C4—4881no—
1969C2×C4—4881no—
1970C2×C4—4881no—
1971C2×C4—2442no—
1972C2×C4—2442no—
1973C2×C4—2442no—
1974C2×C4—2442no—
1975C2×C4—2442no—
1976C2×C4—2442no—
1977C2×C4—2442no—
1978C2×C4—2442no—
1979C2×C4—2442no—
1980C2×C4—2442no—
1981C2×C4—2442no—
1982C2×C4—2442no—
1983C2×C4C2×D4×D6111yescharacteristic
1984C2×C4C2×D4×D6111yescharacteristic
1985C2×C4C2×D4×D6111yescharacteristic
1986C2×C4C2×D4×D6111yescharacteristic
1987C2×C4C24×D6111yescharacteristic
1988C8—21no—
1989C8—21no—
1990C8—21no—
1991C8—612no—
1992C8—1221no—
1993C8—1221no—
1994C8—1221no—
1995C8C2×D4×D6112yes—
1996C22—21no—
1997C22—21no—
1998C22—21no—
1999C22—22no—
2000C22—21no—
2001C22—21no—
2002C22—41no—
2003C22—41no—
2004C22—41no—
2005C22—41no—
2006C22—41no—
2007C22—41no—
2008C22—41no—
2009C22—41no—
2010C22—84no—
2011C22—612no—
2012C22—1221no—
2013C22—1221no—
2014C22—1221no—
2015C22—1221no—
2016C22—1222no—
2017C22—1221no—
2018C22—1221no—
2019C22—1221no—
2020C22—1221no—
2021C22—9762no—
2022C22—9762no—
2023C22—9762no—
2024C22—4884no—
2025C22—2444no—
2026C22—2441no—
2027C22—2441no—
2028C22—2441no—
2029C22—2441no—
2030C22—2441no—
2031C22—2441no—
2032C22—2441no—
2033C22—2441no—
2034C22#1684056912yescomplemented
2035C22C22×D4×D6111yescharacteristic
2036C4—21no—
2037C4—21no—
2038C4—22no—
2039C4—21no—
2040C4—21no—
2041C4—41no—
2042C4—41no—
2043C4—41no—
2044C4—41no—
2045C4—612no—
2046C4—1221no—
2047C4—1221no—
2048C4—1222no—
2049C4—1221no—
2050C4—1221no—
2051C4—2441no—
2052C4—2441no—
2053C4—2441no—
2054C4—2441no—
2055C4C22×D4×D6111yescharacteristic
2056C4H(5,𝔽2)×D6111yescharacteristic
2057C2—22no—
2058C2—41no—
2059C2—42no—
2060C2—81no—
2061C2—81no—
2062C2—1222no—
2063C2—4881no—
2064C2—4881no—
2065C2—2441no—
2066C2—2441no—
2067C2—2442no—
2068C2D42×D6111yescharacteristic
2069C2C2×#1684056911yescharacteristic
2070C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3282C2
socleC22×C61C23×D4
hypercenter#3282D61
hypocenterC61#61055
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. C2×#16840569C2semidirect
2. C22×#14519798C2semidirect
3. #21459490C2semidirect
4. #21459485C2semidirect
5. #21457550C2semidirect
6. #21457543C2semidirect
7. #21457526C2semidirect
8. #21457525C2semidirect
9. #21457523C2semidirect
10. D4×#11758190C2semidirect
11. #21457512C2semidirect
12. #21457410C2semidirect
13. #21457402C2semidirect
14. #21457393C2semidirect
15. #21457385C2semidirect
16. #21457347C2semidirect
17. #21457339C2semidirect
18. #21457300C2semidirect
19. #21457292C2semidirect
20. #21456290C2semidirect
21. #21455476C2semidirect
22. #465×D61C2semidirect
23. #21455372C2semidirect
24. #21455359C2semidirect
25. #21455138C2semidirect
26. #21455121C2semidirect
27. #21455078C2semidirect
28. #21455066C2semidirect
29. #21454697C2semidirect
30. #21454508C2semidirect
31. C61×#3282C2semidirect
32. C2×#14519824C22semidirect
33. C2×#14519823C22semidirect
35. C22×#11758224C22semidirect
37. C2×#14519809C22semidirect
38. C2×#14519809C22semidirect
39. C2×#14519809C22semidirect
40. C2×#14519807C22semidirect
41. C2×#14519802C22semidirect
42. C2×#14519801C22semidirect
43. C2×#14519801C22semidirect
44. C2×#14519801C22semidirect
48. C2×#14519798C22semidirect
49. C2×#14519798C22semidirect
50. C2×#14519798C22semidirect
51. C2×#14519798C22semidirect
52. C2×#14519798C22semidirect
53. C2×#14519798C22semidirect
54. C2×#14519798C22semidirect
55. C22×#11758202C22semidirect
56. C22×#11758190C22semidirect
57. C22×#11758190C22semidirect
58. C2×SD16×D61C22semidirect
59. C2×SD16×D61C22semidirect
60. C22×#11758199C22semidirect
61. C2×#14519783C22semidirect
62. C22×C8×D61C22semidirect
63. #16840434C22semidirect
64. #16840431C22semidirect
65. D4×Dic122C22semidirect
66. #16840425C22semidirect
68. #16840420C22semidirect
69. #16840418C22semidirect
70. #16840416C22semidirect
72. #16840411C22semidirect
74. #16840406C22semidirect
76. #16840405C22semidirect
78. #16840403C22semidirect
86. #16840342C22semidirect
87. #16840341C22semidirect
90. #16840332C22semidirect
92. #16840330C22semidirect
97. C22⋊Q8×D61C22semidirect
100. #16840244C22semidirect
101. #16840241C22semidirect
102. #16840157C22semidirect
103. #16840155C22semidirect
104. #16840152C22semidirect
105. #16840150C22semidirect
106. #16840143C22semidirect
107. #16840135C22semidirect
108. #16840133C22semidirect
109. #16840019C22semidirect
110. #16840018C22semidirect
111. #16840014C22semidirect
112. #16840013C22semidirect
113. #16839994C22semidirect
114. #16839993C22semidirect
115. #16839992C22semidirect
116. #16839992C22semidirect
117. #16839991C22semidirect
118. #16839991C22semidirect
119. #16839990C22semidirect
120. #16839989C22semidirect
121. #16839988C22semidirect
122. #16839988C22semidirect
123. #16839987C22semidirect
124. #16839982C22semidirect
125. #16839981C22semidirect
126. #16839979C22semidirect
127. #16839976C22semidirect
128. #16839974C22semidirect
129. #16839972C22semidirect
130. #16839970C22semidirect
131. #16839968C22semidirect
132. #16839966C22semidirect
133. #16839963C22semidirect
134. #16839961C22semidirect
135. #16839957C22semidirect
136. #16839955C22semidirect
137. #16839927C22semidirect
138. #16839927C22semidirect
139. #16839927C22semidirect
140. #16839924C22semidirect
141. #16839923C22semidirect
142. #16839923C22semidirect
143. #16839921C22semidirect
144. #16839918C22semidirect
145. #16839917C22semidirect
146. #16839916C22semidirect
147. #16839915C22semidirect
148. #16839915C22semidirect
149. #16839914C22semidirect
150. #16839912C22semidirect
151. #16839908C22semidirect
152. #16839908C22semidirect
153. #16839908C22semidirect
154. #16839907C22semidirect
155. #16839906C22semidirect
156. #16839904C22semidirect
157. #16839904C22semidirect
158. #16839903C22semidirect
159. #16839903C22semidirect
160. #16839902C22semidirect
161. #16839900C22semidirect
162. #16839896C22semidirect
163. #16839895C22semidirect
164. #16839894C22semidirect
165. #16839872C22semidirect
166. #16839871C22semidirect
167. #16839867C22semidirect
168. #16839866C22semidirect
169. C4×#11758190C22semidirect
170. SD16×Dic61C22semidirect
171. #16839849C22semidirect
172. #16839836C22semidirect
173. #16839834C22semidirect
174. #16839832C22semidirect
175. #16839830C22semidirect
176. C8×D244C22semidirect
177. C8×C22⋊D61C22semidirect
178. C8×C22⋊D61C22semidirect
179. #106×D61C22semidirect
180. #16839787C22semidirect
181. #16839762C22semidirect
182. #16839762C22semidirect
183. #16839760C22semidirect
184. #16839760C22semidirect
185. #103×D61C22semidirect
186. #102×D61C22semidirect
187. #16839727C22semidirect
188. #16839724C22semidirect
189. #16839716C22semidirect
190. C2×#135×C61C22semidirect
191. C22×SD16×C61C22semidirect
193. C61×#546C22semidirect
194. C61×#495C22semidirect
195. C61×#465C22semidirect
196. C61×#465C22semidirect
197. C61×#464C22semidirect
198. C61×#463C22semidirect
199. C61×#452C22semidirect
200. C61×#451C22semidirect
201. C61×#449C22semidirect
202. C61×#447C22semidirect
203. C4×SD16×C61C22semidirect
204. C8×D4×C61C22semidirect
268. #14519798D4semidirect
605. #11758224C2×D4semidirect
679. SD16×C61C2×D4semidirect
721. #11758202C2×D4semidirect
733. #11758199C2×D4semidirect
792. #11758190C2×D4semidirect
800. C8×D61C2×D4semidirect
976. C22×C61#577semidirect
1031. #3282D61semidirect
1090. C2×#135C2×D61semidirect
1096. C22×SD16C2×D61semidirect
1119. #546C2×D61semidirect
1146. #495C2×D61semidirect
1163. #465C2×D61semidirect
1164. #465C2×D61semidirect
1168. #464C2×D61semidirect
1172. #463C2×D61semidirect
1188. #452C2×D61semidirect
1192. #451C2×D61semidirect
1204. #449C2×D61semidirect
1212. #447C2×D61semidirect
1220. C4×SD16C2×D61semidirect
1228. C8×D4C2×D61semidirect
1240. C61#61055semidirect
1736. SD16D4×D61semidirect
2034. C22#16840569semidirect

Maximal subgroups

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

subgroupindex
C2×#168405692
C22×#145197982
#214594902
#214594852
#214575502
#214575432
#214575262
#214575252
#214575232
D4×#117581902
#214575122
#214574102
#214574022
#214573932
#214573852
#214573472
#214573392
#214573002
#214572922
#214562902
#214554762
#465×D612
#214553722
#214553592
#214551382
#214551212
#214550782
#214550662
#214546972
#214545082
C61×#32822
#6105561