Finite Group Databasebeta

← D61×#3118 #30548236

Subgroups — D61×#3118 #30548236

Order 15616.

2274 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#542×D61C211yesmaximal, characteristic, complemented
2#518×D61C211yesmaximal, characteristic, complemented
3#21456010C211yesmaximal, characteristic, complemented
4#21456009C211yesmaximal, characteristic, complemented
5#21456008C211yesmaximal, characteristic, complemented
6#21456007C211yesmaximal, characteristic, complemented
7#21456006C211yesmaximal, characteristic, complemented
8#21456005C211yesmaximal, characteristic, complemented
9#21456004C211yesmaximal, characteristic, complemented
10#21456003C211yesmaximal, characteristic, complemented
11#21456002C211yesmaximal, characteristic, complemented
12#21456001C211yesmaximal, characteristic, complemented
13#21456000C211yesmaximal, characteristic, complemented
14#21455999C211yesmaximal, characteristic, complemented
15#21455998C211yesmaximal, characteristic, complemented
16#21455997C211yesmaximal, characteristic, complemented
17#21455996C211yesmaximal, characteristic, complemented
18#485×D61C211yesmaximal, characteristic, complemented
19#482×D61C211yesmaximal, characteristic, complemented
20#476×D61C211yesmaximal, characteristic, complemented
21#474×D61C211yesmaximal, characteristic, complemented
22#463×D61C211yesmaximal, characteristic, complemented
23#463×D61C211yesmaximal, characteristic, complemented
24#450×D61C211yesmaximal, characteristic, complemented
25#447×D61C211yesmaximal, characteristic
26#442×D61C211yesmaximal, characteristic, complemented
27#440×D61C211yesmaximal, characteristic, complemented
28C4×SD16×D61C211yesmaximal, characteristic, complemented
29C4×D8×D61C211yesmaximal, characteristic, complemented
30#433×D61C211yesmaximal, characteristic, complemented
31C61×#3118C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C2×SD16×D61C2211yescharacteristic
34C2×SD16×D61C2211yescharacteristic
35C2×D8×D61C2211yescharacteristic
36C2×D8×D61C2211yescharacteristic
37#16840386C2211yescharacteristic, complemented
38#16840385C2211yescharacteristic, complemented
39#16840384C2211yescharacteristic, complemented
40#16840383C2211yescharacteristic, complemented
41#16840382—21no—
42#16840381C2211yescharacteristic, complemented
43#16840380—21no—
44#16840379C2211yescharacteristic, complemented
45#16840378—21no—
46#16840377C2211yescharacteristic, complemented
47#16840376—21no—
48C4⋊Q8×D61C2211yescharacteristic, complemented
49#126×D61—21no—
50#124×D61—21no—
51#124×D61C2211yescharacteristic, complemented
52#123×D61—21no—
53C22⋊Q8×D61—21no—
54C22⋊Q8×D61C2211yescharacteristic
55#121×D61C2211yescharacteristic
56#16840237C2211yescharacteristic, complemented
57#16840236C2211yescharacteristic, complemented
58#16840236C2211yescharacteristic, complemented
59#16840235—21no—
60#16840235—21no—
61#16840234—21no—
62#16840234—21no—
63#16840234C2211yescharacteristic, complemented
64#16840234C2211yescharacteristic, complemented
65#16840234C2211yescharacteristic, complemented
66#16840234C2211yescharacteristic, complemented
67C4×Q8×D61C2211yescharacteristic, complemented
68C4×D4×D61—21no—
69C4×D4×D61—21no—
70C4×D4×D61C2211yescharacteristic
71C4×D4×D61C2211yescharacteristic
72C4×D4×D61C2211yescharacteristic
73C4×D4×D61C2211yescharacteristic
74C4×D4×D61C2211yescharacteristic, complemented
75#117×D61C2211yescharacteristic
76#117×D61C2211yescharacteristic
77C2×C22⋊C4×D61—21no—
78C2×C22⋊C4×D61—21no—
79#16840106C2211yescharacteristic, complemented
80#16840105C2211yescharacteristic, complemented
81#16840104C2211yescharacteristic, complemented
82#16840103C2211yescharacteristic, complemented
83#16840102C2211yescharacteristic, complemented
84#16840101C2211yescharacteristic, complemented
85#16840100C2211yescharacteristic, complemented
86#16840089C2211yescharacteristic, complemented
87#16840088C2211yescharacteristic, complemented
88#16840087C2211yescharacteristic, complemented
89#16840086C2211yescharacteristic, complemented
90#16840085C2211yescharacteristic, complemented
91#16840084C2211yescharacteristic, complemented
92#16840083C2211yescharacteristic, complemented
93#16840053C2211yescharacteristic, complemented
94#16840052C2211yescharacteristic, complemented
95#16840051C2211yescharacteristic, complemented
96#16840051C2211yescharacteristic, complemented
97#16840050C2211yescharacteristic, complemented
98#16840050C2211yescharacteristic, complemented
99#16840049C2211yescharacteristic, complemented
100#16840043C2211yescharacteristic, complemented
101#16840042C2211yescharacteristic, complemented
102#16840041C2211yescharacteristic, complemented
103#16840041C2211yescharacteristic, complemented
104#16840040C2211yescharacteristic, complemented
105#16840040C2211yescharacteristic, complemented
106#16840039C2211yescharacteristic, complemented
107#16839980C2211yescharacteristic, complemented
108#16839980C2211yescharacteristic, complemented
109#16839979C2211yescharacteristic, complemented
110#16839979C2211yescharacteristic, complemented
111#16839978C2211yescharacteristic, complemented
112#16839978C2211yescharacteristic, complemented
113#16839977C2211yescharacteristic, complemented
114#16839977C2211yescharacteristic, complemented
115#16839976C2211yescharacteristic, complemented
116#16839976C2211yescharacteristic, complemented
117#16839975C2211yescharacteristic, complemented
118#16839975C2211yescharacteristic, complemented
119#16839974C2211yescharacteristic, complemented
120#16839974C2211yescharacteristic, complemented
121#16839915C2211yescharacteristic, complemented
122#16839914C2211yescharacteristic, complemented
123#16839914C2211yescharacteristic, complemented
124#16839913C2211yescharacteristic, complemented
125#16839912C2211yescharacteristic, complemented
126#16839911C2211yescharacteristic, complemented
127#16839911C2211yescharacteristic, complemented
128#16839898C2211yescharacteristic
129#16839897C2211yescharacteristic
130#16839897C2211yescharacteristic
131#16839896C2211yescharacteristic
132#16839895C2211yescharacteristic
133#16839894C2211yescharacteristic
134#16839894C2211yescharacteristic
135#16839875C2211yescharacteristic, complemented
136#16839874C2211yescharacteristic, complemented
137#16839873C2211yescharacteristic, complemented
138#16839872C2211yescharacteristic, complemented
139#16839872C2211yescharacteristic, complemented
140#16839871C2211yescharacteristic, complemented
141#16839871C2211yescharacteristic, complemented
142#16839865C2211yescharacteristic, complemented
143#16839864C2211yescharacteristic, complemented
144#16839863C2211yescharacteristic, complemented
145#16839862C2211yescharacteristic, complemented
146#16839861C2211yescharacteristic, complemented
147#16839860C2211yescharacteristic, complemented
148#16839859C2211yescharacteristic, complemented
149#16839853C2211yescharacteristic, complemented
150C4×#11758190C2211yescharacteristic, complemented
151SD16×Dic61C2211yescharacteristic, complemented
152C4×#11758201C2211yescharacteristic, complemented
153#16839849C2211yescharacteristic, complemented
154C4×#11758200C2211yescharacteristic, complemented
155#16839847C2211yescharacteristic, complemented
156C4×D488C2211yescharacteristic, complemented
157D8×Dic61C2211yescharacteristic, complemented
158#16839844C2211yescharacteristic, complemented
159C4×#11758199C2211yescharacteristic, complemented
160C4×#11758199C2211yescharacteristic, complemented
161#16839842C2211yescharacteristic, complemented
162#16839842C2211yescharacteristic, complemented
163#16839824C2211yescharacteristic, complemented
164#16839823C2211yescharacteristic, complemented
165#16839822C2211yescharacteristic, complemented
166#16839822C2211yescharacteristic, complemented
167#16839821C2211yescharacteristic, complemented
168#16839820C2211yescharacteristic, complemented
169#16839820C2211yescharacteristic, complemented
170#107×D61C2211yescharacteristic, complemented
171#107×D61C2211yescharacteristic, complemented
172#106×D61C2211yescharacteristic, complemented
173#106×D61C2211yescharacteristic, complemented
174C4⋊C8×D61C2211yescharacteristic, complemented
175C4⋊C8×D61C2211yescharacteristic, complemented
176#103×D61C2211yescharacteristic, complemented
177#103×D61C2211yescharacteristic, complemented
178#102×D61C2211yescharacteristic
179#102×D61C2211yescharacteristic
180#102×D61C2211yescharacteristic
181#102×D61C2211yescharacteristic
182#102×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184C22⋊C8×D61C2211yescharacteristic
185C22⋊C8×D61C2211yescharacteristic
186#97×D61C2211yescharacteristic, complemented
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#542C2211yescharacteristic, complemented
189C61×#518C2211yescharacteristic, complemented
190C61×#485C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic, complemented
192C61×#476C2211yescharacteristic, complemented
193C61×#474C2211yescharacteristic, complemented
194C61×#463C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic, complemented
196C61×#450C2211yescharacteristic, complemented
197C61×#447C2211yescharacteristic
198C61×#442C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C4×SD16×C61C2211yescharacteristic, complemented
201C4×D8×C61C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203C24×D61—21no—
204C2×Q8×D61—21no—
205C2×Q8×D61C2311yescharacteristic
206C22×D244C2311yescharacteristic
207C22×C22⋊D61—21no—
208C2×D4×D61—24no—
209C2×D4×D61—24no—
210C2×D4×D61—21no—
211C2×D4×D61—21no—
212C2×D4×D61—21no—
213C2×D4×D61C2311yescharacteristic
214C2×D4×D61C2311yescharacteristic
215C2×D4×D61C2311yescharacteristic
216C2×D4×D61C2311yescharacteristic
217C2×D4×D61C2311yescharacteristic
218C22×C4×D61—21no—
219C22×C4×D61—21no—
220C22×C4×D61—21no—
221C22×C4×D61—21no—
222C22×C4×D61—21no—
223C22×C4×D61C2311yescharacteristic
224C2×#11758190C2311yescharacteristic
225C2×#11758190C2311yescharacteristic
226C2×#11758200C2311yescharacteristic
227C2×#11758200C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229C2×#11758201C2311yescharacteristic
230SD16×D61—24no—
231SD16×D61—24no—
232C2×D488C2311yescharacteristic
233C2×D488C2311yescharacteristic
234C2×#11758199C2311yescharacteristic
235C2×#11758199C2311yescharacteristic
236C2×#11758199C2311yescharacteristic
237C2×#11758199C2311yescharacteristic
238D8×D61—24no—
239D8×D61—24no—
240C2×C8×D61C2311yescharacteristic
241C2×C8×D61C2311yescharacteristic
242C2×C8×D61C2311yescharacteristic
243C2×C8×D61C2311yescharacteristic
244#14519777C2311yescharacteristic, complemented
245#14519776—21no—
246#14519776C2311yescharacteristic, complemented
247#14519776C2311yescharacteristic, complemented
248#14519775—21no—
249#14519772—21no—
250#14519772—21no—
251#14519772—21no—
252#14519771—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770—21no—
256#14519766—21no—
257#14519766C2311yescharacteristic, complemented
258#14519765—21no—
259#14519765C2311yescharacteristic, complemented
260#14519764—21no—
261#14519764C2311yescharacteristic, complemented
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519763—21no—
266#14519763—21no—
267#14519763—21no—
268#14519762—21no—
269#14519762—21no—
270#14519761—21no—
271#14519760—21no—
272#14519759—21no—
273#14519759—21no—
274#14519758—21no—
275#14519757—21no—
276#14519757C2311yescharacteristic
277#14519756—21no—
278#14519756C2311yescharacteristic
279#14519755—21no—
280#14519755—21no—
281#14519755—21no—
282#14519754—21no—
283#14519754—21no—
284#14519754—21no—
285#14519753—21no—
286#14519753C2311yescharacteristic
287#14519752C2311yescharacteristic
288#14519751C2311yescharacteristic
289#14519750—21no—
290#14519749—21no—
291#14519748C2311yescharacteristic
292Q8×Dic61C2311yescharacteristic, complemented
293C4×Dic122—21no—
294C4×Dic122C2311yescharacteristic, complemented
295#14519742—21no—
296#14519742C2311yescharacteristic, complemented
297C4×D244—21no—
298C4×D244—21no—
299C4×D244C2311yescharacteristic
300C4×D244C2311yescharacteristic
301C4×D244C2311yescharacteristic
302C4×D244C2311yescharacteristic
303C4×D244C2311yescharacteristic, complemented
304D4×Dic61—21no—
305D4×Dic61—21no—
306D4×Dic61C2311yescharacteristic
307D4×Dic61C2311yescharacteristic
308D4×Dic61C2311yescharacteristic
309D4×Dic61C2311yescharacteristic
310D4×Dic61C2311yescharacteristic, complemented
311#14519739—21no—
312#14519739—21no—
313#14519739C2311yescharacteristic
314#14519739C2311yescharacteristic
315#14519739C2311yescharacteristic
316#14519739C2311yescharacteristic
317#14519739C2311yescharacteristic, complemented
318C4×C22⋊D61—21no—
319C4×C22⋊D61—21no—
320C4×C22⋊D61—21no—
321C4×C22⋊D61—21no—
322C4×C22⋊D61—21no—
323C4×C22⋊D61—21no—
324C4×C22⋊D61—21no—
325C4×C22⋊D61—21no—
326C4×C22⋊D61—21no—
327#14519737—21no—
328#14519737—21no—
329#14519737—21no—
330#14519737—21no—
331#14519737—21no—
332#14519737—21no—
333#14519737—21no—
334#14519737—21no—
335#14519737—21no—
336#14519736C2311yescharacteristic
337#14519736C2311yescharacteristic
338#14519735D411yescharacteristic
339#14519735D411yescharacteristic
340#14519735C2311yescharacteristic
341#14519735C2311yescharacteristic
342#14519734—21no—
343#14519734C2311yescharacteristic
344#14519734C2311yescharacteristic
345#14519733—21no—
346#14519733D411yescharacteristic
347#14519733D411yescharacteristic
348C4⋊C4×D61—21no—
349C4⋊C4×D61—21no—
350C4⋊C4×D61—21no—
351C4⋊C4×D61D411yescharacteristic
352C4⋊C4×D61D411yescharacteristic
353C4⋊C4×D61C2311yescharacteristic
354C4⋊C4×D61C2311yescharacteristic
355C4⋊C4×D61C2311yescharacteristic
356C4⋊C4×D61C2311yescharacteristic
357C2×C22⋊Dic61—21no—
358C2×C22⋊Dic61—21no—
359C2×#11758198—21no—
360C2×#11758198—21no—
361C2×#11758198—21no—
362C2×#11758198—21no—
363C22⋊C4×D61—21no—
364C22⋊C4×D61—21no—
365C22⋊C4×D61—21no—
366C22⋊C4×D61—21no—
367C22⋊C4×D61—21no—
368C22⋊C4×D61—21no—
369C22⋊C4×D61—21no—
370C22⋊C4×D61—21no—
371C22⋊C4×D61—21no—
372C22⋊C4×D61—21no—
373C22⋊C4×D61—21no—
374C22⋊C4×D61—21no—
375C22⋊C4×D61—21no—
376C22⋊C4×D61—21no—
377C22⋊C4×D61—21no—
378C22⋊C4×D61—21no—
379C22⋊C4×D61—21no—
380C22⋊C4×D61—21no—
381C22⋊C4×D61D411yescharacteristic
382C22⋊C4×D61D411yescharacteristic
383C42×D61—21no—
384C42×D61—21no—
385C42×D61C2311yescharacteristic
386C42×D61C2311yescharacteristic
387#14519711C2311yescharacteristic, complemented
388#14519711C2311yescharacteristic, complemented
389#14519710C2311yescharacteristic, complemented
390#14519710C2311yescharacteristic, complemented
391#14519710C2311yescharacteristic, complemented
392#14519710C2311yescharacteristic, complemented
393#14519709C2311yescharacteristic, complemented
394#14519709C2311yescharacteristic, complemented
395#14519708C2311yescharacteristic, complemented
396#14519708C2311yescharacteristic, complemented
397#14519708C2311yescharacteristic, complemented
398#14519708C2311yescharacteristic, complemented
399C4⋊#92418C2311yescharacteristic, complemented
400C4⋊#92418C2311yescharacteristic, complemented
401#14519706C2311yescharacteristic, complemented
402#14519706C2311yescharacteristic, complemented
403#14519706C2311yescharacteristic, complemented
404#14519706C2311yescharacteristic, complemented
405#14519702C2311yescharacteristic, complemented
406#14519702C2311yescharacteristic, complemented
407#14519701C2311yescharacteristic, complemented
408#14519701C2311yescharacteristic, complemented
409#14519700C2311yescharacteristic, complemented
410#14519700C2311yescharacteristic, complemented
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic, complemented
416#14519699C2311yescharacteristic, complemented
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic, complemented
422#14519698C2311yescharacteristic, complemented
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic, complemented
428#14519697C2311yescharacteristic, complemented
429C22⋊#92418C2311yescharacteristic
430C22⋊#92418C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519689C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519688C2311yescharacteristic, complemented
436#14519687C2311yescharacteristic, complemented
437#14519687C2311yescharacteristic, complemented
438C4×#92418C2311yescharacteristic, complemented
439C8×Dic61C2311yescharacteristic, complemented
440C8×Dic61C2311yescharacteristic, complemented
441C22×D4×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446C4⋊Q8×C61C2311yescharacteristic, complemented
447#126×C61—21no—
448#124×C61—21no—
449#124×C61C2311yescharacteristic, complemented
450#123×C61—21no—
451C22⋊Q8×C61—21no—
452C22⋊Q8×C61C2311yescharacteristic
453#121×C61C2311yescharacteristic
454C4×Q8×C61C2311yescharacteristic, complemented
455C4×D4×C61—21no—
456C4×D4×C61—21no—
457C4×D4×C61C2311yescharacteristic
458C4×D4×C61C2311yescharacteristic
459C4×D4×C61C2311yescharacteristic
460C4×D4×C61C2311yescharacteristic
461C4×D4×C61C2311yescharacteristic, complemented
462#117×C61C2311yescharacteristic
463#117×C61C2311yescharacteristic
464C2×C22⋊C4×C61—21no—
465C2×C22⋊C4×C61—21no—
466#107×C61C2311yescharacteristic, complemented
467#107×C61C2311yescharacteristic, complemented
468#106×C61C2311yescharacteristic, complemented
469#106×C61C2311yescharacteristic, complemented
470C4⋊C8×C61C2311yescharacteristic, complemented
471C4⋊C8×C61C2311yescharacteristic, complemented
472#103×C61C2311yescharacteristic, complemented
473#103×C61C2311yescharacteristic, complemented
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic, complemented
479#102×C61C2311yescharacteristic, complemented
480C22⋊C8×C61C2311yescharacteristic
481C22⋊C8×C61C2311yescharacteristic
482#97×C61C2311yescharacteristic, complemented
483C4×C8×C61C2311yescharacteristic, complemented
484C24×C61—21no—
485C23×D61—28no—
486C23×D61—21no—
487C23×D61—21no—
488C23×D61—21no—
489C23×D61—21no—
490C23×D61—21no—
491C23×D61—21no—
492C23×D61—82no—
493C23×D61—82no—
494C23×D61C2×D411yescharacteristic
495C2×Q8×C61—21no—
496C2×Q8×C61C2411yescharacteristic
497C2×D4×C61—22no—
498C2×D4×C61—22no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61C2411yescharacteristic
502C2×D4×C61C2411yescharacteristic
503C2×D4×C61C2411yescharacteristic
504C22×C4×C61—21no—
505C22×C4×C61—21no—
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61C2411yescharacteristic
510C2×C22⋊D61—28no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C22×Dic61—21no—
519C22×Dic61—21no—
520C22×Dic61—21no—
521C22×Dic61—21no—
522C22×Dic61—21no—
523C22×Dic61C2×D411yescharacteristic
524Q8×D61—22no—
525Q8×D61—22no—
526Q8×D61—82no—
527D4×D61—28no—
528D4×D61—28no—
529D4×D61—22no—
530D4×D61—22no—
531D4×D61—22no—
532D4×D61—22no—
533D4×D61—22no—
534D4×D61—22no—
535D4×D61—22no—
536D4×D61—22no—
537D4×D61—82no—
538D4×D61#4114yes—
539D4×D61#4114yes—
540C2×D244—21no—
541C2×D244—22no—
542C2×D244—22no—
543C2×D244—21no—
544C2×D244C2411yescharacteristic
545C2×D244C2411yescharacteristic
546C2×D244C2411yescharacteristic
547C2×C4×D61—22no—
548C2×C4×D61—22no—
549C2×C4×D61—21no—
550C2×C4×D61—21no—
551C2×C4×D61—21no—
552C2×C4×D61—21no—
553C2×C4×D61—21no—
554C2×C4×D61—21no—
555C2×C4×D61—21no—
556C2×C4×D61—21no—
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61—21no—
564C2×C4×D61—82no—
565C2×C4×D61—82no—
566C2×C4×D61—82no—
567C2×C4×D61—82no—
568C2×C4×D61—82no—
569C2×C4×D61C2×D411yescharacteristic
570C2×C4×D61C2×D411yescharacteristic
571C2×C4×D61C2×D411yescharacteristic
572C2×C4×D61C2×D411yescharacteristic
573C2×C4×D61C2×D411yescharacteristic
574C2×C4×D61C2×D411yescharacteristic
575C2×C4×D61C2411yescharacteristic
576C2×C4×D61C2411yescharacteristic
577C2×Dic122—21no—
578C2×Dic122—21no—
579C2×Dic122—21no—
580C2×Dic122—21no—
581C2×Dic122C2411yescharacteristic
582SD16×C61—22no—
583SD16×C61—22no—
584D8×C61—22no—
585D8×C61—22no—
586C2×C8×C61C2411yescharacteristic
587C2×C8×C61C2411yescharacteristic
588C2×C8×C61C2411yescharacteristic
589C2×C8×C61C2411yescharacteristic
590C4⋊C4×C61—21no—
591C4⋊C4×C61—21no—
592C4⋊C4×C61—21no—
593C4⋊C4×C61C2×D411yescharacteristic
594C4⋊C4×C61C2×D411yescharacteristic
595C4⋊C4×C61C2411yescharacteristic
596C4⋊C4×C61C2411yescharacteristic
597C4⋊C4×C61C2411yescharacteristic
598C4⋊C4×C61C2411yescharacteristic
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61—21no—
602C22⋊C4×C61—21no—
603C22⋊C4×C61—21no—
604C22⋊C4×C61—21no—
605C22⋊C4×C61—21no—
606C22⋊C4×C61—21no—
607C22⋊C4×C61—21no—
608C22⋊C4×C61—21no—
609C22⋊C4×C61C2×D411yescharacteristic
610C22⋊C4×C61C2×D411yescharacteristic
611C42×C61—21no—
612C42×C61—21no—
613C42×C61C2411yescharacteristic
614C42×C61C2411yescharacteristic
615C22⋊Dic61—21no—
616C22⋊Dic61—21no—
617C22⋊Dic61—21no—
618C22⋊Dic61—21no—
619C22⋊Dic61—21no—
620C22⋊Dic61—21no—
621C22⋊Dic61—21no—
622C22⋊Dic61—21no—
623C22⋊Dic61—21no—
624C22⋊Dic61—21no—
625C22⋊Dic61C2×D411yescharacteristic
626C22⋊Dic61C2×D411yescharacteristic
627#11758201—22no—
628#11758201—22no—
629#11758200—22no—
630#11758200—22no—
631#11758199—22no—
632#11758199—22no—
633#11758199—22no—
634#11758199—22no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198—21no—
654#11758198—21no—
655#11758198C2×D411yescharacteristic
656#11758198C2×D411yescharacteristic
657#11758198C2×D411yescharacteristic
658#11758198C2×D411yescharacteristic
659C4⋊Dic61—21no—
660C4⋊Dic61—21no—
661C4⋊Dic61—21no—
662C4⋊Dic61C2×D411yescharacteristic
663C4⋊Dic61C2×D411yescharacteristic
664C4⋊Dic61C2411yescharacteristic
665C4⋊Dic61C2411yescharacteristic
666C4⋊Dic61C2411yescharacteristic
667C4⋊Dic61C2411yescharacteristic
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
678#11758196C2×D411yescharacteristic
679#11758196C2×D411yescharacteristic
680#11758196C2×D411yescharacteristic
681#11758196C2×D411yescharacteristic
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61—21no—
688C4×Dic61C2×D411yescharacteristic
689C4×Dic61C2×D411yescharacteristic
690C4×Dic61C2×D411yescharacteristic
691C4×Dic61C2×D411yescharacteristic
692C4×Dic61C2411yescharacteristic
693C4×Dic61C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695C2×#92418C2411yescharacteristic
696C2×#92418C2411yescharacteristic
697C2×#92418C2411yescharacteristic
698D488—22no—
699D488—22no—
700#11758190—22no—
701#11758190—22no—
702C8×D61—22no—
703C8×D61—22no—
704C8×D61—22no—
705C8×D61—22no—
706C23×C61—24no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61—21no—
710C23×C61—81no—
711C23×C61—81no—
712C23×C61C22×D411yescharacteristic
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—24no—
716C22×D61—24no—
717C22×D61—24no—
718C22×D61—22no—
719C22×D61—24no—
720C22×D61—24no—
721C22×D61—22no—
722C22×D61—22no—
723C22×D61—21no—
724C22×D61—42no—
725C22×D61—42no—
726C22×D61—42no—
727C22×D61—42no—
728C22×D61—42no—
729C22×D61—42no—
730C22×D61—42no—
731C22×D61—81no—
732C22×D61—81no—
733C22×D61—81no—
734C22×D61—81no—
735C22×D61—816no—
736C22×D61—81no—
737C22×D61—81no—
738C22×D61C22×D411yescharacteristic
739C22×D61C22×D411yescharacteristic
740Q8×C61—21no—
741Q8×C61—21no—
742Q8×C61—81no—
743D4×C61—24no—
744D4×C61—21no—
745D4×C61—21no—
746D4×C61—21no—
747D4×C61—21no—
748D4×C61—81no—
749D4×C61C2×#4112yes—
750D4×C61C2×#4112yes—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—81no—
759C2×C4×C61—81no—
760C2×C4×C61—81no—
761C2×C4×C61—81no—
762C2×C4×C61—81no—
763C2×C4×C61C22×D411yescharacteristic
764C2×C4×C61C22×D411yescharacteristic
765C2×C4×C61C22×D411yescharacteristic
766C2×C4×C61C22×D411yescharacteristic
767C2×C4×C61C22×D411yescharacteristic
768C2×C4×C61C2511yescharacteristic
769C22⋊D61—24no—
770C22⋊D61—24no—
771C22⋊D61—24no—
772C22⋊D61—24no—
773C22⋊D61—42no—
774C22⋊D61—81no—
775C22⋊D61—81no—
776C2×Dic61—22no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—81no—
783C2×Dic61—81no—
784C2×Dic61—81no—
785C2×Dic61—81no—
786C2×Dic61—81no—
787C2×Dic61C22×D411yescharacteristic
788C2×Dic61C22×D411yescharacteristic
789C2×Dic61C22×D411yescharacteristic
790C2×Dic61C22×D411yescharacteristic
791C2×Dic61C22×D411yescharacteristic
792C2×Dic61C22×D411yescharacteristic
793D244—24no—
794D244—21no—
795D244—21no—
796D244—21no—
797D244—21no—
798D244—81no—
799D244C2×#4112yes—
800D244C2×#4112yes—
801C4×D61—22no—
802C4×D61—22no—
803C4×D61—22no—
804C4×D61—22no—
805C4×D61—22no—
806C4×D61—21no—
807C4×D61—21no—
808C4×D61—22no—
809C4×D61—42no—
810C4×D61—42no—
811C4×D61—42no—
812C4×D61—42no—
813C4×D61—42no—
814C4×D61—81no—
815C4×D61—81no—
816C4×D61—81no—
817C4×D61—81no—
818C4×D61—81no—
819C4×D61—81no—
820C4×D61—81no—
821C4×D61—81no—
822C4×D61—81no—
823C4×D61—81no—
824C4×D61C2×#4112yes—
825C4×D61C2×#4112yes—
826Dic122—21no—
827Dic122—21no—
828Dic122—42no—
829Dic122—81no—
830Dic122—81no—
831Dic122—81no—
832C8×C61—21no—
833C8×C61—21no—
834C8×C61—21no—
835C8×C61—21no—
836#92418—21no—
837#92418—21no—
838#92418—21no—
839#92418—21no—
840C2×#3118—611nomaximal, Sylow
841C22×C61—21no—
842C22×C61—22no—
843C22×C61—22no—
844C22×C61—21no—
845C22×C61—21no—
846C22×C61—41no—
847C22×C61—41no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61—41no—
851C22×C61—41no—
852C22×C61—41no—
853C22×C61—84no—
854C22×C61C23×D411yescharacteristic
855C2×D61—21no—
856C2×D61—22no—
857C2×D61—22no—
858C2×D61—21no—
859C2×D61—21no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—44no—
865C2×D61—48no—
866C2×D61—48no—
867C2×D61—41no—
868C2×D61—41no—
869C2×D61—41no—
870C2×D61—84no—
871C2×D61—84no—
872C2×D61—84no—
873C2×D61—84no—
874C2×D61#52512yes—
875C2×D61#57612yes—
876C2×D61#57712yes—
877C4×C61—21no—
878C4×C61—21no—
879C4×C61—21no—
880C4×C61—21no—
881C4×C61—21no—
882C4×C61—41no—
883C4×C61—41no—
884C4×C61—41no—
885C4×C61—41no—
886C4×C61—41no—
887C4×C61C22×#4111yescharacteristic
888C4×C61C22×#4111yescharacteristic
889Dic61—21no—
890Dic61—21no—
891Dic61—21no—
892Dic61—21no—
893Dic61—21no—
894Dic61—41no—
895Dic61—41no—
896Dic61—41no—
897Dic61—41no—
898Dic61—41no—
899Dic61#52512yes—
900C2×#542—611no—
901C2×#518—611no—
902#3118—611no—
903#3118—611no—
904#3118—611no—
905#3118—611no—
906#3118—611no—
907#3118—611no—
908#3118—611no—
909#3118—611no—
910#3118—611no—
911#3118—611no—
912#3118—611no—
913#3118—611no—
914#3118—611no—
915#3118—611no—
916#3118—611no—
917#3118D6111yescharacteristic, direct product factor
918C2×#485—611no—
919C2×#482—611no—
920C2×#476—611no—
921C2×#474—611no—
922C2×#463—611no—
923C2×#463—611no—
924C2×#450—611no—
925C2×#447—611no—
926C2×#442—611no—
927C2×#440—611no—
928C2×C4×SD16—611no—
929C2×C4×D8—611no—
930C2×#433—611no—
931C2×C61—41no—
932C2×C61—42no—
933C2×C61—42no—
934C2×C61—81no—
935C2×C61C2×#52511yescharacteristic
936C2×C61C2×#57611yescharacteristic
937C2×C61C2×#57711yescharacteristic
938D61—41no—
939D61—42no—
940D61—42no—
941D61—81no—
942D61#311814yesdirect product factor
943C23×D4—611no—
944C22×SD16—611no—
945C22×SD16—611no—
946C22×D8—611no—
947C22×D8—611no—
948#542—611no—
949#542—611no—
950#542—611no—
951#542—611no—
952#542—611no—
953#542—611no—
954#542—611no—
955#542—1221no—
956#542—1221no—
957#542—1221no—
958#542—1221no—
959#542C2×D6111yescharacteristic, complemented
960C2×C4⋊Q8—611no—
961C2×#126—1221no—
962C2×#124—611no—
963C2×#124—1221no—
964C2×#123—1221no—
965C2×C22⋊Q8—611no—
966C2×C22⋊Q8—1221no—
967C2×#121—611no—
968#518—611no—
969#518—611no—
970#518—611no—
971#518—611no—
972#518—611no—
973#518—611no—
974#518—611no—
975#518—1221no—
976#518—1221no—
977#518—1221no—
978#518—1221no—
979#518C2×D6111yescharacteristic, complemented
980C2×C4×Q8—611no—
981C2×C4×D4—611no—
982C2×C4×D4—611no—
983C2×C4×D4—611no—
984C2×C4×D4—611no—
985C2×C4×D4—611no—
986C2×C4×D4—1221no—
987C2×C4×D4—1221no—
988C2×#117—611no—
989C2×#117—611no—
990C22×C22⋊C4—1221no—
991C22×C22⋊C4—1221no—
992#485—611no—
993#485—611no—
994#485—611no—
995#485—611no—
996#485—611no—
997#485—611no—
998#485—611no—
999#485C2×D6111yescharacteristic, complemented
1000#482—611no—
1001#482—611no—
1002#482—611no—
1003#482—611no—
1004#482—611no—
1005#482—611no—
1006#482—611no—
1007#482C2×D6111yescharacteristic, complemented
1008#476—611no—
1009#476—611no—
1010#476—611no—
1011#476—611no—
1012#476—611no—
1013#476—611no—
1014#476—611no—
1015#476C2×D6111yescharacteristic, complemented
1016#474—611no—
1017#474—611no—
1018#474—611no—
1019#474—611no—
1020#474—611no—
1021#474—611no—
1022#474—611no—
1023#474C2×D6111yescharacteristic, complemented
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463—611no—
1029#463—611no—
1030#463—611no—
1031#463—611no—
1032#463—611no—
1033#463—611no—
1034#463—611no—
1035#463—611no—
1036#463—611no—
1037#463—611no—
1038#463C2×D6111yescharacteristic, complemented
1039#463C2×D6111yescharacteristic, complemented
1040#450—611no—
1041#450—611no—
1042#450—611no—
1043#450—611no—
1044#450—611no—
1045#450—611no—
1046#450—611no—
1047#450C2×D6111yescharacteristic, complemented
1048#447—611no—
1049#447—611no—
1050#447—611no—
1051#447—611no—
1052#447—611no—
1053#447—611no—
1054#447—611no—
1055#447C2×D6111yescharacteristic
1056#442—611no—
1057#442—611no—
1058#442—611no—
1059#442—611no—
1060#442—611no—
1061#442—611no—
1062#442—611no—
1063#442C2×D6111yescharacteristic, complemented
1064#440—611no—
1065#440—611no—
1066#440—611no—
1067#440—611no—
1068#440—611no—
1069#440—611no—
1070#440—611no—
1071#440C2×D6111yescharacteristic, complemented
1072C4×SD16—611no—
1073C4×SD16—611no—
1074C4×SD16—611no—
1075C4×SD16—611no—
1076C4×SD16—611no—
1077C4×SD16—611no—
1078C4×SD16—611no—
1079C4×SD16C2×D6111yescharacteristic, complemented
1080C4×D8—611no—
1081C4×D8—611no—
1082C4×D8—611no—
1083C4×D8—611no—
1084C4×D8—611no—
1085C4×D8—611no—
1086C4×D8—611no—
1087C4×D8C2×D6111yescharacteristic, complemented
1088#433—611no—
1089#433—611no—
1090#433—611no—
1091#433—611no—
1092#433—611no—
1093#433—611no—
1094#433—611no—
1095#433C2×D6111yescharacteristic, complemented
1096C2×#107—611no—
1097C2×#107—611no—
1098C2×#106—611no—
1099C2×#106—611no—
1100C2×C4⋊C8—611no—
1101C2×C4⋊C8—611no—
1102C2×#103—611no—
1103C2×#103—611no—
1104C2×#102—611no—
1105C2×#102—611no—
1106C2×#102—611no—
1107C2×#102—611no—
1108C2×#102—611no—
1109C2×#102—611no—
1110C2×C22⋊C8—611no—
1111C2×C22⋊C8—611no—
1112C2×#97—611no—
1113C2×C4×C8—611no—
1114C61C2×#311811yescharacteristic, complemented, Sylow
1115C25—1221no—
1116C22×Q8—611no—
1117C22×Q8—1221no—
1118C22×D4—611no—
1119C22×D4—611no—
1120C22×D4—611no—
1121C22×D4—611no—
1122C22×D4—611no—
1123C22×D4—611no—
1124C22×D4—1221no—
1125C22×D4—1221no—
1126C22×D4—1221no—
1127C22×D4—1224no—
1128C22×D4—1224no—
1129C22×D4—1221no—
1130C22×D4C22×D6111yescharacteristic
1131C23×C4—611no—
1132C23×C4—1221no—
1133C23×C4—1221no—
1134C23×C4—1221no—
1135C23×C4—1221no—
1136C23×C4—1221no—
1137C2×SD16—611no—
1138C2×SD16—611no—
1139C2×SD16—611no—
1140C2×SD16—611no—
1141C2×SD16—611no—
1142C2×SD16—611no—
1143C2×SD16—1224no—
1144C2×SD16—1224no—
1145C2×SD16C22×D6111yescharacteristic
1146C2×SD16C22×D6111yescharacteristic
1147C2×D8—611no—
1148C2×D8—611no—
1149C2×D8—611no—
1150C2×D8—611no—
1151C2×D8—611no—
1152C2×D8—611no—
1153C2×D8—1224no—
1154C2×D8—1224no—
1155C2×D8C22×D6111yescharacteristic
1156C2×D8C22×D6111yescharacteristic
1157C22×C8—611no—
1158C22×C8—611no—
1159C22×C8—611no—
1160C22×C8—611no—
1161C4⋊Q8—611no—
1162C4⋊Q8—611no—
1163C4⋊Q8—611no—
1164C4⋊Q8—1221no—
1165C4⋊Q8—1221no—
1166C4⋊Q8C22×D6111yescharacteristic, complemented
1167#126—21no—
1168#126—1221no—
1169#126—1221no—
1170#126—1221no—
1171#126—1221no—
1172#126—1221no—
1173#126—1221no—
1174#126—1221no—
1175#124—21no—
1176#124—611no—
1177#124—611no—
1178#124—611no—
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, complemented
1189#123—21no—
1190#123—1221no—
1191#123—1221no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197C22⋊Q8—21no—
1198C22⋊Q8—611no—
1199C22⋊Q8—611no—
1200C22⋊Q8—611no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206C22⋊Q8—1221no—
1207C22⋊Q8—1221no—
1208C22⋊Q8—1221no—
1209C22⋊Q8—1221no—
1210C22⋊Q8C22×D6111yescharacteristic
1211#121—611no—
1212#121—611no—
1213#121—611no—
1214#121—1221no—
1215#121—1221no—
1216#121C22×D6111yescharacteristic
1217C4×Q8—611no—
1218C4×Q8—611no—
1219C4×Q8—611no—
1220C4×Q8—1221no—
1221C4×Q8—1221no—
1222C4×Q8C22×D6111yescharacteristic, complemented
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—611no—
1226C4×D4—611no—
1227C4×D4—611no—
1228C4×D4—611no—
1229C4×D4—611no—
1230C4×D4—611no—
1231C4×D4—611no—
1232C4×D4—611no—
1233C4×D4—611no—
1234C4×D4—611no—
1235C4×D4—611no—
1236C4×D4—611no—
1237C4×D4—611no—
1238C4×D4—611no—
1239C4×D4—611no—
1240C4×D4—1221no—
1241C4×D4—1221no—
1242C4×D4—1221no—
1243C4×D4—1221no—
1244C4×D4—1221no—
1245C4×D4—1221no—
1246C4×D4—1221no—
1247C4×D4—1221no—
1248C4×D4—1221no—
1249C4×D4—1221no—
1250C4×D4—1221no—
1251C4×D4—1221no—
1252C4×D4—1221no—
1253C4×D4—1221no—
1254C4×D4—1221no—
1255C4×D4—1221no—
1256C4×D4—1221no—
1257C4×D4—1221no—
1258C4×D4—1221no—
1259C4×D4—1221no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4C22×D6111yescharacteristic
1265C4×D4C22×D6111yescharacteristic
1266C4×D4C22×D6111yescharacteristic
1267C4×D4C22×D6111yescharacteristic
1268C4×D4C22×D6111yescharacteristic, complemented
1269#117—611no—
1270#117—611no—
1271#117—611no—
1272#117—611no—
1273#117—611no—
1274#117—611no—
1275#117—611no—
1276#117—611no—
1277#117—611no—
1278#117—611no—
1279#117—1221no—
1280#117—1221no—
1281#117C22×D6111yescharacteristic
1282#117C22×D6111yescharacteristic
1283C2×C4⋊C4—611no—
1284C2×C4⋊C4—611no—
1285C2×C4⋊C4—611no—
1286C2×C4⋊C4—611no—
1287C2×C4⋊C4—611no—
1288C2×C4⋊C4—611no—
1289C2×C4⋊C4—1221no—
1290C2×C4⋊C4—1221no—
1291C2×C4⋊C4—1221no—
1292C2×C22⋊C4—21no—
1293C2×C22⋊C4—21no—
1294C2×C22⋊C4—611no—
1295C2×C22⋊C4—611no—
1296C2×C22⋊C4—1221no—
1297C2×C22⋊C4—1221no—
1298C2×C22⋊C4—1221no—
1299C2×C22⋊C4—1221no—
1300C2×C22⋊C4—1221no—
1301C2×C22⋊C4—1221no—
1302C2×C22⋊C4—1221no—
1303C2×C22⋊C4—1221no—
1304C2×C22⋊C4—1221no—
1305C2×C22⋊C4—1221no—
1306C2×C22⋊C4—1221no—
1307C2×C22⋊C4—1221no—
1308C2×C22⋊C4—1221no—
1309C2×C22⋊C4—1221no—
1310C2×C22⋊C4—1221no—
1311C2×C22⋊C4—1221no—
1312C2×C22⋊C4—1221no—
1313C2×C22⋊C4—1221no—
1314C2×C22⋊C4—1221no—
1315C2×C22⋊C4—1221no—
1316C2×C22⋊C4—1221no—
1317C2×C22⋊C4—1221no—
1318C2×C22⋊C4—1221no—
1319C2×C22⋊C4—1221no—
1320C2×C42—611no—
1321C2×C42—611no—
1322C2×C42—1221no—
1323C2×C42—1221no—
1324#107—611no—
1325#107—611no—
1326#107—611no—
1327#107—611no—
1328#107—611no—
1329#107—611no—
1330#107C22×D6111yescharacteristic, complemented
1331#107C22×D6111yescharacteristic, complemented
1332#106—611no—
1333#106—611no—
1334#106—611no—
1335#106—611no—
1336#106—611no—
1337#106—611no—
1338#106C22×D6111yescharacteristic, complemented
1339#106C22×D6111yescharacteristic, complemented
1340C4⋊C8—611no—
1341C4⋊C8—611no—
1342C4⋊C8—611no—
1343C4⋊C8—611no—
1344C4⋊C8—611no—
1345C4⋊C8—611no—
1346C4⋊C8C22×D6111yescharacteristic, complemented
1347C4⋊C8C22×D6111yescharacteristic, complemented
1348#103—611no—
1349#103—611no—
1350#103—611no—
1351#103—611no—
1352#103—611no—
1353#103—611no—
1354#103C22×D6111yescharacteristic, complemented
1355#103C22×D6111yescharacteristic, complemented
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102—611no—
1361#102—611no—
1362#102—611no—
1363#102—611no—
1364#102—611no—
1365#102—611no—
1366#102—611no—
1367#102—611no—
1368#102—611no—
1369#102—611no—
1370#102—611no—
1371#102—611no—
1372#102—611no—
1373#102—611no—
1374#102C22×D6111yescharacteristic
1375#102C22×D6111yescharacteristic
1376#102C22×D6111yescharacteristic
1377#102C22×D6111yescharacteristic
1378#102C22×D6111yescharacteristic, complemented
1379#102C22×D6111yescharacteristic, complemented
1380C22⋊C8—611no—
1381C22⋊C8—611no—
1382C22⋊C8—611no—
1383C22⋊C8—611no—
1384C22⋊C8—611no—
1385C22⋊C8—611no—
1386C22⋊C8C22×D6111yescharacteristic
1387C22⋊C8C22×D6111yescharacteristic
1388#97—611no—
1389#97—611no—
1390#97—611no—
1391#97C22×D6111yescharacteristic, complemented
1392C4×C8—611no—
1393C4×C8—611no—
1394C4×C8—611no—
1395C4×C8C22×D6111yescharacteristic, complemented
1396C24—21no—
1397C24—611no—
1398C24—1221no—
1399C24—1221no—
1400C24—1221no—
1401C24—1221no—
1402C24—1221no—
1403C24—1228no—
1404C24—1221no—
1405C24—4882no—
1406C24—4882no—
1407C2×Q8—21no—
1408C2×Q8—611no—
1409C2×Q8—1221no—
1410C2×Q8—1221no—
1411C2×Q8—1221no—
1412C2×Q8—1222no—
1413C2×Q8—1222no—
1414C2×Q8—1221no—
1415C2×Q8—4882no—
1416C2×Q8C23×D6111yescharacteristic
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—614no—
1422C2×D4—614no—
1423C2×D4—611no—
1424C2×D4—611no—
1425C2×D4—611no—
1426C2×D4—1222no—
1427C2×D4—1222no—
1428C2×D4—1221no—
1429C2×D4—1222no—
1430C2×D4—1222no—
1431C2×D4—1222no—
1432C2×D4—1222no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—1221no—
1437C2×D4—1221no—
1438C2×D4—1222no—
1439C2×D4—1222no—
1440C2×D4—1228no—
1441C2×D4—1228no—
1442C2×D4—1228no—
1443C2×D4—1222no—
1444C2×D4—1222no—
1445C2×D4—1221no—
1446C2×D4—1221no—
1447C2×D4—1221no—
1448C2×D4—4882no—
1449C2×D4C23×D6111yescharacteristic
1450C2×D4C23×D6111yescharacteristic
1451C2×D4C23×D6111yescharacteristic
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—611no—
1458C22×C4—611no—
1459C22×C4—611no—
1460C22×C4—611no—
1461C22×C4—611no—
1462C22×C4—611no—
1463C22×C4—611no—
1464C22×C4—611no—
1465C22×C4—611no—
1466C22×C4—1222no—
1467C22×C4—1222no—
1468C22×C4—1221no—
1469C22×C4—1221no—
1470C22×C4—1221no—
1471C22×C4—1221no—
1472C22×C4—1221no—
1473C22×C4—1221no—
1474C22×C4—1221no—
1475C22×C4—1221no—
1476C22×C4—1221no—
1477C22×C4—1221no—
1478C22×C4—1221no—
1479C22×C4—1221no—
1480C22×C4—1221no—
1481C22×C4—1221no—
1482C22×C4—1221no—
1483C22×C4—1221no—
1484C22×C4—1221no—
1485C22×C4—1221no—
1486C22×C4—1221no—
1487C22×C4—1221no—
1488C22×C4—4882no—
1489C22×C4—4882no—
1490C22×C4—4882no—
1491C22×C4—4882no—
1492C22×C4—4882no—
1493C22×C4C23×D6111yescharacteristic
1494SD16—22no—
1495SD16—22no—
1496SD16—1222no—
1497SD16—1222no—
1498SD16—1222no—
1499SD16—1222no—
1500SD16—1222no—
1501SD16—1222no—
1502D8—22no—
1503D8—22no—
1504D8—1222no—
1505D8—1222no—
1506D8—1222no—
1507D8—1222no—
1508D8—1222no—
1509D8—1222no—
1510C2×C8—611no—
1511C2×C8—611no—
1512C2×C8—611no—
1513C2×C8—611no—
1514C2×C8—1222no—
1515C2×C8—1222no—
1516C2×C8—1222no—
1517C2×C8—1222no—
1518C2×C8C23×D6111yescharacteristic
1519C2×C8C23×D6111yescharacteristic
1520C2×C8C23×D6111yescharacteristic
1521C2×C8C23×D6111yescharacteristic
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4—611no—
1526C4⋊C4—611no—
1527C4⋊C4—611no—
1528C4⋊C4—611no—
1529C4⋊C4—611no—
1530C4⋊C4—611no—
1531C4⋊C4—611no—
1532C4⋊C4—611no—
1533C4⋊C4—611no—
1534C4⋊C4—611no—
1535C4⋊C4—1221no—
1536C4⋊C4—1221no—
1537C4⋊C4—1221no—
1538C4⋊C4—1221no—
1539C4⋊C4—1221no—
1540C4⋊C4—1221no—
1541C4⋊C4—1221no—
1542C4⋊C4—1221no—
1543C4⋊C4—1221no—
1544C4⋊C4—1221no—
1545C4⋊C4—1221no—
1546C4⋊C4—1221no—
1547C4⋊C4—1221no—
1548C4⋊C4D4×D6111yescharacteristic
1549C4⋊C4D4×D6111yescharacteristic
1550C4⋊C4C23×D6111yescharacteristic
1551C4⋊C4C23×D6111yescharacteristic
1552C4⋊C4C23×D6111yescharacteristic
1553C4⋊C4C23×D6111yescharacteristic
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—611no—
1565C22⋊C4—611no—
1566C22⋊C4—611no—
1567C22⋊C4—611no—
1568C22⋊C4—611no—
1569C22⋊C4—611no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4—1221no—
1583C22⋊C4—1221no—
1584C22⋊C4—1221no—
1585C22⋊C4—1221no—
1586C22⋊C4—1221no—
1587C22⋊C4—1221no—
1588C22⋊C4—1221no—
1589C22⋊C4—1221no—
1590C22⋊C4—1221no—
1591C22⋊C4—1221no—
1592C22⋊C4—1221no—
1593C22⋊C4—1221no—
1594C22⋊C4—1221no—
1595C22⋊C4—1221no—
1596C22⋊C4—1221no—
1597C22⋊C4—1221no—
1598C22⋊C4—1221no—
1599C22⋊C4—1221no—
1600C22⋊C4D4×D6111yescharacteristic
1601C22⋊C4D4×D6111yescharacteristic
1602C42—21no—
1603C42—21no—
1604C42—611no—
1605C42—611no—
1606C42—611no—
1607C42—611no—
1608C42—611no—
1609C42—611no—
1610C42—1221no—
1611C42—1221no—
1612C42—1221no—
1613C42—1221no—
1614C42—1221no—
1615C42—1221no—
1616C42C23×D6111yescharacteristic
1617C42C23×D6111yescharacteristic
1618C23—24no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—81no—
1623C23—81no—
1624C23—611no—
1625C23—611no—
1626C23—1222no—
1627C23—1224no—
1628C23—1224no—
1629C23—1222no—
1630C23—1222no—
1631C23—1224no—
1632C23—1224no—
1633C23—1224no—
1634C23—1221no—
1635C23—1221no—
1636C23—1221no—
1637C23—4881no—
1638C23—4881no—
1639C23—4881no—
1640C23—4881no—
1641C23—4881no—
1642C23—4881no—
1643C23—48816no—
1644C23—2442no—
1645C23—2442no—
1646C23—2442no—
1647C23—2442no—
1648C23—2442no—
1649C23—2442no—
1650C23—2442no—
1651C23C2×D4×D6111yescharacteristic
1652Q8—21no—
1653Q8—21no—
1654Q8—81no—
1655Q8—1221no—
1656Q8—1221no—
1657Q8—4881no—
1658Q8—4881no—
1659Q8—4881no—
1660Q8—2442no—
1661D4—24no—
1662D4—21no—
1663D4—21no—
1664D4—21no—
1665D4—21no—
1666D4—81no—
1667D4—612no—
1668D4—612no—
1669D4—1224no—
1670D4—1224no—
1671D4—1224no—
1672D4—1224no—
1673D4—1224no—
1674D4—1221no—
1675D4—1221no—
1676D4—1221no—
1677D4—1221no—
1678D4—4881no—
1679D4—4881no—
1680D4—4881no—
1681D4—2442no—
1682D4#41×D6112yes—
1683D4#41×D6112yes—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—611no—
1697C2×C4—612no—
1698C2×C4—612no—
1699C2×C4—611no—
1700C2×C4—611no—
1701C2×C4—611no—
1702C2×C4—611no—
1703C2×C4—611no—
1704C2×C4—1222no—
1705C2×C4—1222no—
1706C2×C4—1222no—
1707C2×C4—1222no—
1708C2×C4—1222no—
1709C2×C4—1222no—
1710C2×C4—1222no—
1711C2×C4—1221no—
1712C2×C4—1221no—
1713C2×C4—1221no—
1714C2×C4—1221no—
1715C2×C4—1221no—
1716C2×C4—1221no—
1717C2×C4—1221no—
1718C2×C4—4881no—
1719C2×C4—4881no—
1720C2×C4—4881no—
1721C2×C4—4881no—
1722C2×C4—4881no—
1723C2×C4—4881no—
1724C2×C4—4881no—
1725C2×C4—4881no—
1726C2×C4—4881no—
1727C2×C4—4881no—
1728C2×C4—4881no—
1729C2×C4—4881no—
1730C2×C4—4881no—
1731C2×C4—4881no—
1732C2×C4—4881no—
1733C2×C4—2442no—
1734C2×C4—2442no—
1735C2×C4—2442no—
1736C2×C4—2442no—
1737C2×C4—2442no—
1738C2×C4C2×D4×D6111yescharacteristic
1739C2×C4C2×D4×D6111yescharacteristic
1740C2×C4C2×D4×D6111yescharacteristic
1741C2×C4C2×D4×D6111yescharacteristic
1742C2×C4C2×D4×D6111yescharacteristic
1743C2×C4C24×D6111yescharacteristic
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—21no—
1748C8—1221no—
1749C8—1221no—
1750C8—1221no—
1751C8—1221no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—22no—
1756C22—22no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—84no—
1765C22—612no—
1766C22—612no—
1767C22—612no—
1768C22—1221no—
1769C22—1221no—
1770C22—1221no—
1771C22—1222no—
1772C22—1222no—
1773C22—4884no—
1774C22—4884no—
1775C22—4884no—
1776C22—4884no—
1777C22—2444no—
1778C22—2448no—
1779C22—2448no—
1780C22—2441no—
1781C22—2441no—
1782C22—2441no—
1783C22—2441no—
1784C22—2441no—
1785C22—2441no—
1786C22—2441no—
1787C22C22×D4×D6111yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—612no—
1799C4—1221no—
1800C4—1221no—
1801C4—1221no—
1802C4—1221no—
1803C4—1221no—
1804C4—2441no—
1805C4—2441no—
1806C4—2441no—
1807C4—2441no—
1808C4—2441no—
1809C4C2×#41×D6111yescharacteristic
1810C4C2×#41×D6111yescharacteristic
1811C2—41no—
1812C2—42no—
1813C2—42no—
1814C2—81no—
1815C2—614no—
1816C2—4881no—
1817C2—2441no—
1818C2—2442no—
1819C2—2442no—
1820C2#525×D6111yescharacteristic
1821C2#576×D6111yescharacteristic
1822C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3118C2
socleC22×C61C23×D4
prime radical#447×D61C2
hypercenter#3118D61
hypocenterC61C2×#3118
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #542×D61C2semidirect
2. #518×D61C2semidirect
3. #21456010C2semidirect
4. #21456009C2semidirect
5. #21456008C2semidirect
6. #21456007C2semidirect
7. #21456006C2semidirect
8. #21456005C2semidirect
9. #21456004C2semidirect
10. #21456003C2semidirect
11. #21456002C2semidirect
12. #21456001C2semidirect
13. #21456000C2semidirect
14. #21455999C2semidirect
15. #21455998C2semidirect
16. #21455997C2semidirect
17. #21455996C2semidirect
18. #485×D61C2semidirect
19. #482×D61C2semidirect
20. #476×D61C2semidirect
21. #474×D61C2semidirect
22. #463×D61C2semidirect
23. #463×D61C2semidirect
24. #450×D61C2semidirect
26. #442×D61C2semidirect
27. #440×D61C2semidirect
28. C4×SD16×D61C2semidirect
29. C4×D8×D61C2semidirect
30. #433×D61C2semidirect
31. C61×#3118C2semidirect
37. #16840386C22semidirect
38. #16840385C22semidirect
39. #16840384C22semidirect
40. #16840383C22semidirect
42. #16840381C22semidirect
44. #16840379C22semidirect
46. #16840377C22semidirect
48. C4⋊Q8×D61C22semidirect
51. #124×D61C22semidirect
56. #16840237C22semidirect
57. #16840236C22semidirect
58. #16840236C22semidirect
63. #16840234C22semidirect
64. #16840234C22semidirect
65. #16840234C22semidirect
66. #16840234C22semidirect
67. C4×Q8×D61C22semidirect
74. C4×D4×D61C22semidirect
79. #16840106C22semidirect
80. #16840105C22semidirect
81. #16840104C22semidirect
82. #16840103C22semidirect
83. #16840102C22semidirect
84. #16840101C22semidirect
85. #16840100C22semidirect
86. #16840089C22semidirect
87. #16840088C22semidirect
88. #16840087C22semidirect
89. #16840086C22semidirect
90. #16840085C22semidirect
91. #16840084C22semidirect
92. #16840083C22semidirect
93. #16840053C22semidirect
94. #16840052C22semidirect
95. #16840051C22semidirect
96. #16840051C22semidirect
97. #16840050C22semidirect
98. #16840050C22semidirect
99. #16840049C22semidirect
100. #16840043C22semidirect
101. #16840042C22semidirect
102. #16840041C22semidirect
103. #16840041C22semidirect
104. #16840040C22semidirect
105. #16840040C22semidirect
106. #16840039C22semidirect
107. #16839980C22semidirect
108. #16839980C22semidirect
109. #16839979C22semidirect
110. #16839979C22semidirect
111. #16839978C22semidirect
112. #16839978C22semidirect
113. #16839977C22semidirect
114. #16839977C22semidirect
115. #16839976C22semidirect
116. #16839976C22semidirect
117. #16839975C22semidirect
118. #16839975C22semidirect
119. #16839974C22semidirect
120. #16839974C22semidirect
121. #16839915C22semidirect
122. #16839914C22semidirect
123. #16839914C22semidirect
124. #16839913C22semidirect
125. #16839912C22semidirect
126. #16839911C22semidirect
127. #16839911C22semidirect
135. #16839875C22semidirect
136. #16839874C22semidirect
137. #16839873C22semidirect
138. #16839872C22semidirect
139. #16839872C22semidirect
140. #16839871C22semidirect
141. #16839871C22semidirect
142. #16839865C22semidirect
143. #16839864C22semidirect
144. #16839863C22semidirect
145. #16839862C22semidirect
146. #16839861C22semidirect
147. #16839860C22semidirect
148. #16839859C22semidirect
149. #16839853C22semidirect
150. C4×#11758190C22semidirect
151. SD16×Dic61C22semidirect
152. C4×#11758201C22semidirect
153. #16839849C22semidirect
154. C4×#11758200C22semidirect
155. #16839847C22semidirect
156. C4×D488C22semidirect
157. D8×Dic61C22semidirect
158. #16839844C22semidirect
159. C4×#11758199C22semidirect
160. C4×#11758199C22semidirect
161. #16839842C22semidirect
162. #16839842C22semidirect
163. #16839824C22semidirect
164. #16839823C22semidirect
165. #16839822C22semidirect
166. #16839822C22semidirect
167. #16839821C22semidirect
168. #16839820C22semidirect
169. #16839820C22semidirect
170. #107×D61C22semidirect
171. #107×D61C22semidirect
172. #106×D61C22semidirect
173. #106×D61C22semidirect
174. C4⋊C8×D61C22semidirect
175. C4⋊C8×D61C22semidirect
176. #103×D61C22semidirect
177. #103×D61C22semidirect
182. #102×D61C22semidirect
183. #102×D61C22semidirect
186. #97×D61C22semidirect
187. C4×C8×D61C22semidirect
188. C61×#542C22semidirect
189. C61×#518C22semidirect
190. C61×#485C22semidirect
191. C61×#482C22semidirect
192. C61×#476C22semidirect
193. C61×#474C22semidirect
194. C61×#463C22semidirect
195. C61×#463C22semidirect
196. C61×#450C22semidirect
198. C61×#442C22semidirect
199. C61×#440C22semidirect
200. C4×SD16×C61C22semidirect
201. C4×D8×C61C22semidirect
202. C61×#433C22semidirect
244. #14519777C23semidirect
246. #14519776C23semidirect
247. #14519776C23semidirect
257. #14519766C23semidirect
259. #14519765C23semidirect
261. #14519764C23semidirect
292. Q8×Dic61C23semidirect
294. C4×Dic122C23semidirect
296. #14519742C23semidirect
303. C4×D244C23semidirect
310. D4×Dic61C23semidirect
317. #14519739C23semidirect
387. #14519711C23semidirect
388. #14519711C23semidirect
389. #14519710C23semidirect
390. #14519710C23semidirect
391. #14519710C23semidirect
392. #14519710C23semidirect
393. #14519709C23semidirect
394. #14519709C23semidirect
395. #14519708C23semidirect
396. #14519708C23semidirect
397. #14519708C23semidirect
398. #14519708C23semidirect
399. C4⋊#92418C23semidirect
400. C4⋊#92418C23semidirect
401. #14519706C23semidirect
402. #14519706C23semidirect
403. #14519706C23semidirect
404. #14519706C23semidirect
405. #14519702C23semidirect
406. #14519702C23semidirect
407. #14519701C23semidirect
408. #14519701C23semidirect
409. #14519700C23semidirect
410. #14519700C23semidirect
415. #14519699C23semidirect
416. #14519699C23semidirect
421. #14519698C23semidirect
422. #14519698C23semidirect
427. #14519697C23semidirect
428. #14519697C23semidirect
435. #14519688C23semidirect
436. #14519687C23semidirect
437. #14519687C23semidirect
438. C4×#92418C23semidirect
439. C8×Dic61C23semidirect
440. C8×Dic61C23semidirect
446. C4⋊Q8×C61C23semidirect
449. #124×C61C23semidirect
454. C4×Q8×C61C23semidirect
461. C4×D4×C61C23semidirect
466. #107×C61C23semidirect
467. #107×C61C23semidirect
468. #106×C61C23semidirect
469. #106×C61C23semidirect
470. C4⋊C8×C61C23semidirect
471. C4⋊C8×C61C23semidirect
472. #103×C61C23semidirect
473. #103×C61C23semidirect
478. #102×C61C23semidirect
479. #102×C61C23semidirect
482. #97×C61C23semidirect
483. C4×C8×C61C23semidirect
917. #3118D61direct (N × H)
942. D61#3118direct (N × H)
959. #542C2×D61semidirect
979. #518C2×D61semidirect
999. #485C2×D61semidirect
1007. #482C2×D61semidirect
1015. #476C2×D61semidirect
1023. #474C2×D61semidirect
1038. #463C2×D61semidirect
1039. #463C2×D61semidirect
1047. #450C2×D61semidirect
1063. #442C2×D61semidirect
1071. #440C2×D61semidirect
1079. C4×SD16C2×D61semidirect
1087. C4×D8C2×D61semidirect
1095. #433C2×D61semidirect
1114. C61C2×#3118semidirect
1166. C4⋊Q8C22×D61semidirect
1188. #124C22×D61semidirect
1222. C4×Q8C22×D61semidirect
1268. C4×D4C22×D61semidirect
1330. #107C22×D61semidirect
1331. #107C22×D61semidirect
1338. #106C22×D61semidirect
1339. #106C22×D61semidirect
1346. C4⋊C8C22×D61semidirect
1347. C4⋊C8C22×D61semidirect
1354. #103C22×D61semidirect
1355. #103C22×D61semidirect
1378. #102C22×D61semidirect
1379. #102C22×D61semidirect
1391. #97C22×D61semidirect
1395. C4×C8C22×D61semidirect

Maximal subgroups

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

subgroupindex
#542×D612
#518×D612
#214560102
#214560092
#214560082
#214560072
#214560062
#214560052
#214560042
#214560032
#214560022
#214560012
#214560002
#214559992
#214559982
#214559972
#214559962
#485×D612
#482×D612
#476×D612
#474×D612
#463×D612
#450×D612
#447×D612
#442×D612
#440×D612
C4×SD16×D612
C4×D8×D612
#433×D612
C61×#31182
C2×#311861