Finite Group Databasebeta

← D61×#3308 #30556579

Subgroups — D61×#3308 #30556579

Order 15616.

2374 conjugacy classes of subgroups.

The subgroup lattice has 1892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#548×D61C211yesmaximal, characteristic, complemented
2#547×D61C211yesmaximal, characteristic, complemented
3#21457817C211yesmaximal, characteristic, complemented
4#21457816C211yesmaximal, characteristic, complemented
5#21457815C211yesmaximal, characteristic, complemented
6#21457814C211yesmaximal, characteristic, complemented
7#21457813C211yesmaximal, characteristic, complemented
8#21457812C211yesmaximal, characteristic, complemented
9#21457811C211yesmaximal, characteristic, complemented
10#21457810C211yesmaximal, characteristic, complemented
11#21457809C211yesmaximal, characteristic, complemented
12#21457808C211yesmaximal, characteristic, complemented
13#21457807C211yesmaximal, characteristic, complemented
14#21457806C211yesmaximal, characteristic, complemented
15#21457805C211yesmaximal, characteristic, complemented
16#21457804C211yesmaximal, characteristic, complemented
17#21457803C211yesmaximal, characteristic, complemented
18#489×D61C211yesmaximal, characteristic, complemented
19#484×D61C211yesmaximal, characteristic, complemented
20#480×D61C211yesmaximal, characteristic, complemented
21#477×D61C211yesmaximal, characteristic, complemented
22#468×D61C211yesmaximal, characteristic, complemented
23#466×D61C211yesmaximal, characteristic, complemented
24#463×D61C211yesmaximal, characteristic, complemented
25#449×D61C211yesmaximal, characteristic, complemented
26#448×D61C211yesmaximal, characteristic, complemented
27#440×D61C211yesmaximal, characteristic, complemented
28#435×D61C211yesmaximal, characteristic, complemented
29#417×D61C211yesmaximal, characteristic, complemented
30C2×#103×D61C211yesmaximal, characteristic, complemented
31C61×#3308C211yesmaximal, characteristic, complemented
32C2×#41×D61—21no—
33C2×#41×D61C2211yescharacteristic
34C22×Q8×D61C2211yescharacteristic
35C2×SD16×D61C2211yescharacteristic
36C2×SD16×D61C2211yescharacteristic
37C2×D8×D61C2211yescharacteristic
38C2×M16×D61C2211yescharacteristic
39C22×C8×D61C2211yescharacteristic
40#16840424C2211yescharacteristic, complemented
41#16840423C2211yescharacteristic, complemented
42#16840422—21no—
43#16840422C2211yescharacteristic, complemented
44#16840421—21no—
45#16840421C2211yescharacteristic, complemented
46#16840420—21no—
47#16840420C2211yescharacteristic, complemented
48#16840419C2211yescharacteristic, complemented
49#16840418—21no—
50#16840418C2211yescharacteristic, complemented
51#16840417C2211yescharacteristic, complemented
52#16840416C2211yescharacteristic, complemented
53#16840415C2211yescharacteristic, complemented
54#16840414—21no—
55#16840413C2211yescharacteristic, complemented
56#16840413C2211yescharacteristic, complemented
57#16840412C2211yescharacteristic, complemented
58#16840412C2211yescharacteristic, complemented
59#16840411—21no—
60#16840410—21no—
61#16840410—21no—
62C4⋊Q8×D61C2211yescharacteristic
63#124×D61—21no—
64#124×D61C2211yescharacteristic
65#123×D61—21no—
66#123×D61—21no—
67C22⋊Q8×D61—21no—
68C22⋊Q8×D61—21no—
69C22⋊Q8×D61C2211yescharacteristic
70#121×D61—21no—
71#121×D61C2211yescharacteristic
72#121×D61C2211yescharacteristic
73#121×D61C2211yescharacteristic
74C4×Q8×D61C2211yescharacteristic
75C4×D4×D61—21no—
76C4×D4×D61C2211yescharacteristic
77C4×D4×D61C2211yescharacteristic
78C2×C4⋊C4×D61C2211yescharacteristic
79C2×C4⋊C4×D61C2211yescharacteristic
80#16840124C2211yescharacteristic, complemented
81#16840123C2211yescharacteristic, complemented
82#16840123C2211yescharacteristic, complemented
83#16840122C2211yescharacteristic, complemented
84#16840121C2211yescharacteristic, complemented
85#16840120C2211yescharacteristic, complemented
86#16840120C2211yescharacteristic, complemented
87#16840099C2211yescharacteristic, complemented
88#16840099C2211yescharacteristic, complemented
89#16840098C2211yescharacteristic, complemented
90#16840097C2211yescharacteristic, complemented
91#16840096C2211yescharacteristic, complemented
92#16840096C2211yescharacteristic, complemented
93#16840095C2211yescharacteristic, complemented
94#16840077C2211yescharacteristic, complemented
95#16840077C2211yescharacteristic, complemented
96#16840076C2211yescharacteristic, complemented
97#16840075C2211yescharacteristic, complemented
98#16840074C2211yescharacteristic, complemented
99#16840074C2211yescharacteristic, complemented
100#16840073C2211yescharacteristic, complemented
101#16840058C2211yescharacteristic, complemented
102#16840057C2211yescharacteristic, complemented
103#16840056C2211yescharacteristic, complemented
104#16840056C2211yescharacteristic, complemented
105#16840055C2211yescharacteristic, complemented
106#16840055C2211yescharacteristic, complemented
107#16840054C2211yescharacteristic, complemented
108#16840011C2211yescharacteristic, complemented
109#16840010C2211yescharacteristic, complemented
110#16840009C2211yescharacteristic, complemented
111#16840008C2211yescharacteristic, complemented
112#16840007C2211yescharacteristic, complemented
113#16840006C2211yescharacteristic, complemented
114#16840005C2211yescharacteristic, complemented
115#16839999C2211yescharacteristic, complemented
116#16839998C2211yescharacteristic, complemented
117#16839997C2211yescharacteristic, complemented
118#16839997C2211yescharacteristic, complemented
119#16839996C2211yescharacteristic, complemented
120#16839996C2211yescharacteristic, complemented
121#16839995C2211yescharacteristic, complemented
122#16839980C2211yescharacteristic, complemented
123#16839979C2211yescharacteristic, complemented
124#16839978C2211yescharacteristic, complemented
125#16839977C2211yescharacteristic, complemented
126#16839976C2211yescharacteristic, complemented
127#16839975C2211yescharacteristic, complemented
128#16839974C2211yescharacteristic, complemented
129#16839910C2211yescharacteristic, complemented
130#16839909C2211yescharacteristic, complemented
131#16839908C2211yescharacteristic, complemented
132#16839907C2211yescharacteristic, complemented
133#16839906C2211yescharacteristic, complemented
134#16839905C2211yescharacteristic, complemented
135#16839904C2211yescharacteristic, complemented
136#16839903C2211yescharacteristic, complemented
137#16839902C2211yescharacteristic, complemented
138#16839902C2211yescharacteristic, complemented
139#16839901C2211yescharacteristic, complemented
140#16839900C2211yescharacteristic, complemented
141#16839899C2211yescharacteristic, complemented
142#16839899C2211yescharacteristic, complemented
143#16839865C2211yescharacteristic, complemented
144#16839864C2211yescharacteristic, complemented
145#16839863C2211yescharacteristic, complemented
146#16839862C2211yescharacteristic, complemented
147#16839861C2211yescharacteristic, complemented
148#16839860C2211yescharacteristic, complemented
149#16839859C2211yescharacteristic, complemented
150#16839836C2211yescharacteristic, complemented
151#16839835C2211yescharacteristic, complemented
152#16839834C2211yescharacteristic, complemented
153#16839833C2211yescharacteristic, complemented
154#16839832C2211yescharacteristic, complemented
155#16839831C2211yescharacteristic, complemented
156#16839830C2211yescharacteristic, complemented
157#107×D61C2211yescharacteristic
158#107×D61C2211yescharacteristic
159#107×D61C2211yescharacteristic
160C4⋊C8×D61C2211yescharacteristic
161#16839764C2211yescharacteristic, complemented
162#16839763C2211yescharacteristic, complemented
163#16839762C2211yescharacteristic, complemented
164#16839762C2211yescharacteristic, complemented
165#16839761C2211yescharacteristic, complemented
166#16839760C2211yescharacteristic, complemented
167#16839760C2211yescharacteristic, complemented
168C2×#14519702C2211yescharacteristic, complemented
169C2×#14519701C2211yescharacteristic, complemented
170C2×#14519700C2211yescharacteristic, complemented
171#103×D61C2211yescharacteristic
172#103×D61C2211yescharacteristic
173#103×D61C2211yescharacteristic
174#103×D61C2211yescharacteristic
175#103×D61C2211yescharacteristic
176#103×D61C2211yescharacteristic
177#103×D61C2211yescharacteristic, complemented
178#103×D61C2211yescharacteristic, complemented
179#103×D61C2211yescharacteristic, complemented
180#103×D61C2211yescharacteristic, complemented
181#102×D61C2211yescharacteristic
182#102×D61C2211yescharacteristic
183#102×D61C2211yescharacteristic
184#102×D61C2211yescharacteristic
185C22⋊C8×D61C2211yescharacteristic
186C22⋊C8×D61C2211yescharacteristic
187#97×D61C2211yescharacteristic
188C61×#548C2211yescharacteristic, complemented
189C61×#547C2211yescharacteristic, complemented
190C61×#489C2211yescharacteristic, complemented
191C61×#484C2211yescharacteristic, complemented
192C61×#480C2211yescharacteristic, complemented
193C61×#477C2211yescharacteristic, complemented
194C61×#468C2211yescharacteristic, complemented
195C61×#466C2211yescharacteristic, complemented
196C61×#463C2211yescharacteristic, complemented
197C61×#449C2211yescharacteristic, complemented
198C61×#448C2211yescharacteristic, complemented
199C61×#440C2211yescharacteristic, complemented
200C61×#435C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C2×#103×C61C2211yescharacteristic, complemented
203C2×#11758226—21no—
204C2×#11758226C2311yescharacteristic
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758222—21no—
208C2×#11758222—21no—
209C2×#11758222C2311yescharacteristic
210C2×#11758224—21no—
211C2×#11758224—21no—
212C2×#11758224—21no—
213C2×#11758224—21no—
214C2×#11758224C2311yescharacteristic
215#41×D61—24no—
216#41×D61—42no—
217#41×D61—48no—
218C22×Dic122—21no—
219C22×Dic122C2311yescharacteristic
220C2×Q8×D61—21no—
221C2×Q8×D61—21no—
222C2×Q8×D61—21no—
223C2×Q8×D61—24no—
224C2×Q8×D61—42no—
225C2×Q8×D61C2311yescharacteristic
226C2×Q8×D61C2311yescharacteristic
227C2×Q8×D61C2311yescharacteristic
228C2×Q8×D61C2311yescharacteristic
229C2×D4×D61—21no—
230C2×D4×D61—21no—
231C2×D4×D61—21no—
232C2×D4×D61—21no—
233C2×D4×D61D411yescharacteristic
234C2×D4×D61C2311yescharacteristic
235C2×D4×D61C2311yescharacteristic
236C22×C4×D61—21no—
237C22×C4×D61—21no—
238C22×C4×D61—21no—
239C22×C4×D61—21no—
240C22×C4×D61—21no—
241C22×C4×D61C2311yescharacteristic
242C22×C4×D61C2311yescharacteristic
243C2×#11758190C2311yescharacteristic
244C2×#11758190C2311yescharacteristic
245C2×#11758200C2311yescharacteristic
246C2×#11758200C2311yescharacteristic
247C2×#11758201C2311yescharacteristic
248C2×#11758201C2311yescharacteristic
249SD16×D61—24no—
250SD16×D61—42no—
251C2×D488C2311yescharacteristic
252C2×#11758199C2311yescharacteristic
253C2×#11758199C2311yescharacteristic
254D8×D61—42no—
255C2×#11758194C2311yescharacteristic
256C2×#11758189C2311yescharacteristic
257C2×#11758189C2311yescharacteristic
258M16×D61—42no—
259C22×#92418C2311yescharacteristic
260C2×C8×D61—42no—
261C2×C8×D61C2311yescharacteristic
262C2×C8×D61C2311yescharacteristic
263C2×C8×D61C2311yescharacteristic
264C2×C8×D61C2311yescharacteristic
265C2×C8×D61C2311yescharacteristic
266C2×C8×D61C2311yescharacteristic
267#14519777C2311yescharacteristic
268#14519776—21no—
269#14519776C2311yescharacteristic
270#14519776C2311yescharacteristic
271#14519775—21no—
272#14519766—21no—
273#14519766C2311yescharacteristic
274#14519765—21no—
275#14519765C2311yescharacteristic
276#14519764—21no—
277#14519764C2311yescharacteristic
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519762—21no—
285#14519762—21no—
286#14519762—21no—
287#14519762—21no—
288#14519761—21no—
289#14519761—21no—
290#14519760—21no—
291#14519760—21no—
292#14519759—21no—
293#14519759—21no—
294#14519759—21no—
295#14519759—21no—
296#14519758—21no—
297#14519758—21no—
298#14519757—21no—
299#14519757—21no—
300#14519757C2311yescharacteristic
301#14519756—21no—
302#14519756—21no—
303#14519756C2311yescharacteristic
304#14519755—21no—
305#14519755—21no—
306#14519755—21no—
307#14519755—21no—
308#14519755—21no—
309#14519754—21no—
310#14519754—21no—
311#14519754—21no—
312#14519754—21no—
313#14519754—21no—
314#14519753—21no—
315#14519753—21no—
316#14519753C2311yescharacteristic
317#14519752—21no—
318#14519752C2311yescharacteristic
319#14519752C2311yescharacteristic
320#14519752C2311yescharacteristic
321#14519751—21no—
322#14519751C2311yescharacteristic
323#14519751C2311yescharacteristic
324#14519751C2311yescharacteristic
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750—21no—
329#14519750—21no—
330#14519749—21no—
331#14519749—21no—
332#14519749—21no—
333#14519749—21no—
334#14519749—21no—
335#14519748—21no—
336#14519748C2311yescharacteristic
337#14519748C2311yescharacteristic
338#14519748C2311yescharacteristic
339Q8×Dic61C2311yescharacteristic
340C4×Dic122—21no—
341C4×Dic122C2311yescharacteristic
342#14519742—21no—
343#14519742C2311yescharacteristic
344C4×D244—21no—
345C4×D244C2311yescharacteristic
346C4×D244C2311yescharacteristic
347D4×Dic61—21no—
348D4×Dic61D411yescharacteristic
349D4×Dic61C2311yescharacteristic
350#14519739—21no—
351#14519739D411yescharacteristic
352#14519739C2311yescharacteristic
353C4×C22⋊D61—21no—
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61C2311yescharacteristic
357C4×C22⋊D61C2311yescharacteristic
358#14519737—21no—
359#14519737—21no—
360#14519737—21no—
361#14519737D411yescharacteristic
362#14519737D411yescharacteristic
363C2×C4⋊Dic61C2311yescharacteristic
364C2×C4⋊Dic61C2311yescharacteristic
365C2×#11758196—21no—
366C2×#11758196—21no—
367C4⋊C4×D61—21no—
368C4⋊C4×D61—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61—21no—
372C4⋊C4×D61—21no—
373C4⋊C4×D61—21no—
374C4⋊C4×D61D411yescharacteristic
375C4⋊C4×D61C2311yescharacteristic
376C4⋊C4×D61C2311yescharacteristic
377C4⋊C4×D61C2311yescharacteristic
378C4⋊C4×D61C2311yescharacteristic
379C4⋊C4×D61C2311yescharacteristic
380C4⋊C4×D61C2311yescharacteristic
381C4⋊C4×D61C2311yescharacteristic
382C4⋊C4×D61C2311yescharacteristic
383C22⋊C4×D61—21no—
384C22⋊C4×D61—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C22⋊C4×D61—21no—
388C22⋊C4×D61—21no—
389C22⋊C4×D61—21no—
390C22⋊C4×D61D411yescharacteristic
391C22⋊C4×D61D411yescharacteristic
392C42×D61—21no—
393C42×D61C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519711C2311yescharacteristic
396#14519711C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519710C2311yescharacteristic
400#14519710C2311yescharacteristic
401#14519710C2311yescharacteristic
402#14519710C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519700C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519700C2311yescharacteristic
422#14519700C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519699C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435#14519697C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437C22⋊#92418C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519688C2311yescharacteristic
443#14519687C2311yescharacteristic
444#14519687C2311yescharacteristic
445C2×#41×C61—21no—
446C2×#41×C61C2311yescharacteristic
447C22×Q8×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×D8×C61C2311yescharacteristic
451C2×M16×C61C2311yescharacteristic
452C22×C8×C61C2311yescharacteristic
453C4⋊Q8×C61C2311yescharacteristic
454#124×C61—21no—
455#124×C61C2311yescharacteristic
456#123×C61—21no—
457#123×C61—21no—
458C22⋊Q8×C61—21no—
459C22⋊Q8×C61—21no—
460C22⋊Q8×C61C2311yescharacteristic
461#121×C61—21no—
462#121×C61C2311yescharacteristic
463#121×C61C2311yescharacteristic
464#121×C61C2311yescharacteristic
465C4×Q8×C61C2311yescharacteristic
466C4×D4×C61—21no—
467C4×D4×C61C2311yescharacteristic
468C4×D4×C61C2311yescharacteristic
469C2×C4⋊C4×C61C2311yescharacteristic
470C2×C4⋊C4×C61C2311yescharacteristic
471#107×C61C2311yescharacteristic
472#107×C61C2311yescharacteristic
473#107×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485C22⋊C8×C61C2311yescharacteristic
486C22⋊C8×C61C2311yescharacteristic
487#97×C61C2311yescharacteristic
488C23×D61—21no—
489C23×D61—21no—
490C23×D61C2×D411yescharacteristic
491C23×D61C2×D411yescharacteristic
492#41×C61—22no—
493#41×C61—41no—
494#41×C61—44no—
495C2×Q8×C61—21no—
496C2×Q8×C61—21no—
497C2×Q8×C61—22no—
498C2×Q8×C61—41no—
499C2×Q8×C61C2411yescharacteristic
500C2×Q8×C61C2411yescharacteristic
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61C2×D411yescharacteristic
506C2×D4×C61C2411yescharacteristic
507C2×D4×C61C2411yescharacteristic
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61—21no—
512C22×C4×C61—21no—
513C22×C4×C61C2411yescharacteristic
514C22×C4×C61C2411yescharacteristic
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61C2×D411yescharacteristic
526C2×C22⋊D61C2×D411yescharacteristic
527C22×Dic61—21no—
528C22×Dic61—21no—
529C22×Dic61—21no—
530C22×Dic61—21no—
531C22×Dic61—21no—
532C22×Dic61C2×D411yescharacteristic
533C22×Dic61C2×D411yescharacteristic
534#11758226—22no—
535#11758226—41no—
536#11758226—44no—
537Q8×D61—22no—
538Q8×D61—22no—
539Q8×D61—22no—
540Q8×D61—22no—
541Q8×D61—22no—
542Q8×D61—41no—
543Q8×D61—41no—
544Q8×D61—44no—
545Q8×D61—44no—
546Q8×D61—44no—
547Q8×D61#4114yescomplemented
548#11758224—22no—
549#11758224—41no—
550#11758224—44no—
551#11758224—44no—
552#11758224—44no—
553#11758224—44no—
554D4×D61—24no—
555D4×D61—22no—
556D4×D61—22no—
557D4×D61—22no—
558D4×D61—22no—
559D4×D61—44no—
560D4×D61—44no—
561D4×D61—44no—
562D4×D61—44no—
563#11758222—22no—
564#11758222—44no—
565#11758222—41no—
566#11758222—44no—
567#11758222—44no—
568#11758222—44no—
569C2×D244—21no—
570C2×D244—21no—
571C2×D244—21no—
572C2×D244—21no—
573C2×D244C2×D411yescharacteristic
574C2×D244C2411yescharacteristic
575C2×D244C2411yescharacteristic
576C2×C4×D61—21no—
577C2×C4×D61—22no—
578C2×C4×D61—22no—
579C2×C4×D61—22no—
580C2×C4×D61—22no—
581C2×C4×D61—21no—
582C2×C4×D61—21no—
583C2×C4×D61—21no—
584C2×C4×D61—21no—
585C2×C4×D61—21no—
586C2×C4×D61—21no—
587C2×C4×D61—21no—
588C2×C4×D61—21no—
589C2×C4×D61—21no—
590C2×C4×D61—21no—
591C2×C4×D61—21no—
592C2×C4×D61—21no—
593C2×C4×D61—21no—
594C2×C4×D61—21no—
595C2×C4×D61—21no—
596C2×C4×D61—44no—
597C2×C4×D61—44no—
598C2×C4×D61—44no—
599C2×C4×D61—44no—
600C2×C4×D61—44no—
601C2×C4×D61C2×D411yescharacteristic
602C2×C4×D61C2×D411yescharacteristic
603C2×C4×D61C2×D411yescharacteristic
604C2×C4×D61C2×D411yescharacteristic
605C2×C4×D61C2×D411yescharacteristic
606C2×C4×D61C2×D411yescharacteristic
607C2×C4×D61C2411yescharacteristic
608C2×C4×D61C2411yescharacteristic
609C2×C4×D61C2411yescharacteristic
610C2×Dic122—21no—
611C2×Dic122—22no—
612C2×Dic122—21no—
613C2×Dic122—21no—
614C2×Dic122—21no—
615C2×Dic122—21no—
616C2×Dic122—21no—
617C2×Dic122—21no—
618C2×Dic122—21no—
619C2×Dic122—41no—
620C2×Dic122—44no—
621C2×Dic122C2411yescharacteristic
622C2×Dic122C2411yescharacteristic
623SD16×C61—22no—
624SD16×C61—41no—
625D8×C61—41no—
626M16×C61—41no—
627C2×C8×C61—41no—
628C2×C8×C61C2411yescharacteristic
629C2×C8×C61C2411yescharacteristic
630C2×C8×C61C2411yescharacteristic
631C2×C8×C61C2411yescharacteristic
632C4⋊C4×C61—21no—
633C4⋊C4×C61—21no—
634C4⋊C4×C61—21no—
635C4⋊C4×C61—21no—
636C4⋊C4×C61—21no—
637C4⋊C4×C61C2×D411yescharacteristic
638C4⋊C4×C61C2411yescharacteristic
639C4⋊C4×C61C2411yescharacteristic
640C4⋊C4×C61C2411yescharacteristic
641C4⋊C4×C61C2411yescharacteristic
642C22⋊C4×C61—21no—
643C22⋊C4×C61—21no—
644C22⋊C4×C61—21no—
645C22⋊C4×C61—21no—
646C22⋊C4×C61—21no—
647C22⋊C4×C61—21no—
648C22⋊C4×C61—21no—
649C22⋊C4×C61C2×D411yescharacteristic
650C22⋊C4×C61C2×D411yescharacteristic
651C42×C61—21no—
652C42×C61C2411yescharacteristic
653C22⋊Dic61—21no—
654C22⋊Dic61—21no—
655C22⋊Dic61—21no—
656C22⋊Dic61—21no—
657C22⋊Dic61—21no—
658C22⋊Dic61—21no—
659C22⋊Dic61—21no—
660C22⋊Dic61C2×D411yescharacteristic
661C22⋊Dic61C2×D411yescharacteristic
662#11758201—22no—
663#11758201—41no—
664#11758200—22no—
665#11758200—41no—
666#11758199—41no—
667#11758199—41no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198—21no—
672#11758198—21no—
673#11758198—21no—
674#11758198—21no—
675#11758198—21no—
676#11758198—21no—
677#11758198—21no—
678#11758198—21no—
679#11758198—21no—
680#11758198—21no—
681#11758198—21no—
682#11758198C2×D411yescharacteristic
683#11758198C2×D411yescharacteristic
684#11758198C2×D411yescharacteristic
685#11758198C2×D411yescharacteristic
686C4⋊Dic61—21no—
687C4⋊Dic61—21no—
688C4⋊Dic61—21no—
689C4⋊Dic61—21no—
690C4⋊Dic61—21no—
691C4⋊Dic61C2×D411yescharacteristic
692C4⋊Dic61C2411yescharacteristic
693C4⋊Dic61C2411yescharacteristic
694C4⋊Dic61C2411yescharacteristic
695C4⋊Dic61C2411yescharacteristic
696#11758196—21no—
697#11758196—21no—
698#11758196—21no—
699#11758196—21no—
700#11758196—21no—
701#11758196—21no—
702#11758196—21no—
703#11758196—21no—
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196—21no—
708#11758196—21no—
709#11758196—21no—
710#11758196C2×D411yescharacteristic
711#11758196C2×D411yescharacteristic
712C4×Dic61—21no—
713C4×Dic61—21no—
714C4×Dic61—21no—
715C4×Dic61C2×D411yescharacteristic
716C4×Dic61C2×D411yescharacteristic
717C4×Dic61C2411yescharacteristic
718#11758194—41no—
719C2×#92418—41no—
720C2×#92418C2411yescharacteristic
721C2×#92418C2411yescharacteristic
722C2×#92418C2411yescharacteristic
723C2×#92418C2411yescharacteristic
724D488—41no—
725#11758190—22no—
726#11758190—41no—
727#11758189—41no—
728#11758189—41no—
729C8×D61—22no—
730C8×D61—22no—
731C8×D61—22no—
732C8×D61—22no—
733C8×D61—41no—
734C8×D61—41no—
735C23×C61—21no—
736C23×C61—21no—
737C23×C61C22×D411yescharacteristic
738C23×C61C22×D411yescharacteristic
739C22×D61—22no—
740C22×D61—22no—
741C22×D61—22no—
742C22×D61—22no—
743C22×D61—22no—
744C22×D61—21no—
745C22×D61—21no—
746C22×D61—42no—
747C22×D61—42no—
748C22×D61—42no—
749C22×D61—42no—
750C22×D61—42no—
751C22×D61—42no—
752C22×D61AGL(1,ℤ/8)14yes—
753C22×D61C22×D411yescharacteristic
754C22×D61C22×D411yescharacteristic
755C22×D61C22×D411yescharacteristic
756Q8×C61—21no—
757Q8×C61—21no—
758Q8×C61—21no—
759Q8×C61—42no—
760Q8×C61—42no—
761Q8×C61C2×#4112yescomplemented
762D4×C61—22no—
763D4×C61—21no—
764D4×C61—21no—
765D4×C61—21no—
766D4×C61—21no—
767D4×C61—42no—
768D4×C61—42no—
769D4×C61—42no—
770D4×C61—42no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—21no—
781C2×C4×C61—42no—
782C2×C4×C61—42no—
783C2×C4×C61—42no—
784C2×C4×C61—42no—
785C2×C4×C61—42no—
786C2×C4×C61C22×D411yescharacteristic
787C2×C4×C61C22×D411yescharacteristic
788C2×C4×C61C22×D411yescharacteristic
789C2×C4×C61C22×D411yescharacteristic
790C2×C4×C61C2511yescharacteristic
791C22⋊D61—22no—
792C22⋊D61—22no—
793C22⋊D61—42no—
794C22⋊D61—42no—
795C22⋊D61—42no—
796C22⋊D61—42no—
797C22⋊D61—42no—
798C22⋊D61—42no—
799C22⋊D61—42no—
800C22⋊D61—42no—
801C22⋊D61—42no—
802C22⋊D61—42no—
803C2×Dic61—21no—
804C2×Dic61—22no—
805C2×Dic61—22no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—42no—
812C2×Dic61—42no—
813C2×Dic61—42no—
814C2×Dic61—42no—
815C2×Dic61—42no—
816C2×Dic61C22×D411yescharacteristic
817C2×Dic61C22×D411yescharacteristic
818C2×Dic61C22×D411yescharacteristic
819C2×Dic61C22×D411yescharacteristic
820C2×Dic61C22×D411yescharacteristic
821D244—22no—
822D244—21no—
823D244—21no—
824D244—21no—
825D244—21no—
826D244—42no—
827D244—42no—
828D244—42no—
829D244—42no—
830C4×D61—22no—
831C4×D61—22no—
832C4×D61—24no—
833C4×D61—22no—
834C4×D61—22no—
835C4×D61—21no—
836C4×D61—21no—
837C4×D61—21no—
838C4×D61—21no—
839C4×D61—22no—
840C4×D61—22no—
841C4×D61—42no—
842C4×D61—42no—
843C4×D61—42no—
844C4×D61—42no—
845C4×D61—42no—
846C4×D61—42no—
847C4×D61—42no—
848C4×D61—42no—
849C4×D61—42no—
850C4×D61—42no—
851C4×D61—42no—
852C4×D61—42no—
853C4×D61—42no—
854C4×D61—42no—
855C4×D61—42no—
856C4×D61C2×#4112yes—
857C4×D61H(5,𝔽2)12yes—
858Dic122—21no—
859Dic122—24no—
860Dic122—21no—
861Dic122—21no—
862Dic122—42no—
863Dic122—42no—
864Dic122—42no—
865Dic122—42no—
866Dic122—42no—
867Dic122—42no—
868Dic122—42no—
869Dic122C2×#4112yescomplemented
870C8×C61—21no—
871C8×C61—21no—
872C8×C61—21no—
873C8×C61—21no—
874#92418—21no—
875#92418—21no—
876#92418—21no—
877#92418—21no—
878C2×#3308—611nomaximal, Sylow
879C22×C61—21no—
880C22×C61—21no—
881C22×C61—21no—
882C22×C61—21no—
883C22×C61—21no—
884C22×C61—41no—
885C22×C61—41no—
886C22×C61—41no—
887C22×C61—41no—
888C22×C61—41no—
889C22×C61—41no—
890C22×C61C2×AGL(1,ℤ/8)12yes—
891C22×C61C23×D411yescharacteristic
892C2×D61—21no—
893C2×D61—21no—
894C2×D61—28no—
895C2×D61—21no—
896C2×D61—21no—
897C2×D61—21no—
898C2×D61—44no—
899C2×D61—41no—
900C2×D61—41no—
901C2×D61—41no—
902C2×D61—41no—
903C2×D61—41no—
904C2×D61—41no—
905C2×D61—84no—
906C2×D61—84no—
907C2×D61#54612yes—
908C2×D61C2×AGL(1,ℤ/8)12yes—
909C2×D61C2×AGL(1,ℤ/8)12yes—
910C2×D61#57812yes—
911C4×C61—22no—
912C4×C61—21no—
913C4×C61—21no—
914C4×C61—21no—
915C4×C61—21no—
916C4×C61—41no—
917C4×C61—41no—
918C4×C61—41no—
919C4×C61—41no—
920C4×C61—41no—
921C4×C61C22×#4111yescharacteristic
922C4×C61C2×H(5,𝔽2)11yescharacteristic
923Dic61—22no—
924Dic61—21no—
925Dic61—21no—
926Dic61—21no—
927Dic61—21no—
928Dic61—41no—
929Dic61—41no—
930Dic61—41no—
931Dic61—41no—
932Dic61—41no—
933Dic61#54612yes—
934C2×#548—611no—
935C2×#547—611no—
936#3308—611no—
937#3308—611no—
938#3308—611no—
939#3308—611no—
940#3308—611no—
941#3308—611no—
942#3308—611no—
943#3308—611no—
944#3308—611no—
945#3308—611no—
946#3308—611no—
947#3308—611no—
948#3308—611no—
949#3308—611no—
950#3308—611no—
951#3308D6111yescharacteristic, direct product factor
952C2×#489—611no—
953C2×#484—611no—
954C2×#480—611no—
955C2×#477—611no—
956C2×#468—611no—
957C2×#466—611no—
958C2×#463—611no—
959C2×#449—611no—
960C2×#448—611no—
961C2×#440—611no—
962C2×#435—611no—
963C2×#417—611no—
964C22×#103—611no—
965C2×C61—22no—
966C2×C61—41no—
967C2×C61—81no—
968C2×C61—81no—
969C2×C61C2×#54611yescharacteristic
970C2×C61C22×AGL(1,ℤ/8)11yescharacteristic
971C2×C61C2×#57811yescharacteristic
972D61—22no—
973D61—41no—
974D61—81no—
975D61—81no—
976D61#330814yesdirect product factor
977C22×#41—611no—
978C22×#41—1221no—
979C23×Q8—611no—
980C22×SD16—611no—
981C22×SD16—611no—
982C22×D8—611no—
983C22×M16—611no—
984C23×C8—611no—
985#548—611no—
986#548—611no—
987#548—611no—
988#548—611no—
989#548—611no—
990#548—611no—
991#548—611no—
992#548—1221no—
993#548—1221no—
994#548—1221no—
995#548—1221no—
996#548C2×D6111yescharacteristic, complemented
997#547—611no—
998#547—611no—
999#547—611no—
1000#547—611no—
1001#547—611no—
1002#547—611no—
1003#547—611no—
1004#547—1221no—
1005#547—1221no—
1006#547—1221no—
1007#547—1221no—
1008#547C2×D6111yescharacteristic, complemented
1009C2×C4⋊Q8—611no—
1010C2×#124—611no—
1011C2×#124—1221no—
1012C2×#123—1221no—
1013C2×#123—1221no—
1014C2×C22⋊Q8—611no—
1015C2×C22⋊Q8—1221no—
1016C2×C22⋊Q8—1221no—
1017C2×#121—611no—
1018C2×#121—611no—
1019C2×#121—611no—
1020C2×#121—1221no—
1021C2×C4×Q8—611no—
1022C2×C4×D4—611no—
1023C2×C4×D4—611no—
1024C2×C4×D4—1221no—
1025C22×C4⋊C4—611no—
1026C22×C4⋊C4—611no—
1027#489—611no—
1028#489—611no—
1029#489—611no—
1030#489—611no—
1031#489—611no—
1032#489—611no—
1033#489—611no—
1034#489C2×D6111yescharacteristic, complemented
1035#484—611no—
1036#484—611no—
1037#484—611no—
1038#484—611no—
1039#484—611no—
1040#484—611no—
1041#484—611no—
1042#484C2×D6111yescharacteristic, complemented
1043#480—611no—
1044#480—611no—
1045#480—611no—
1046#480—611no—
1047#480—611no—
1048#480—611no—
1049#480—611no—
1050#480C2×D6111yescharacteristic, complemented
1051#477—611no—
1052#477—611no—
1053#477—611no—
1054#477—611no—
1055#477—611no—
1056#477—611no—
1057#477—611no—
1058#477C2×D6111yescharacteristic, complemented
1059#468—611no—
1060#468—611no—
1061#468—611no—
1062#468—611no—
1063#468—611no—
1064#468—611no—
1065#468—611no—
1066#468C2×D6111yescharacteristic, complemented
1067#466—611no—
1068#466—611no—
1069#466—611no—
1070#466—611no—
1071#466—611no—
1072#466—611no—
1073#466—611no—
1074#466C2×D6111yescharacteristic, complemented
1075#463—611no—
1076#463—611no—
1077#463—611no—
1078#463—611no—
1079#463—611no—
1080#463—611no—
1081#463—611no—
1082#463C2×D6111yescharacteristic, complemented
1083#449—611no—
1084#449—611no—
1085#449—611no—
1086#449—611no—
1087#449—611no—
1088#449—611no—
1089#449—611no—
1090#449C2×D6111yescharacteristic, complemented
1091#448—611no—
1092#448—611no—
1093#448—611no—
1094#448—611no—
1095#448—611no—
1096#448—611no—
1097#448—611no—
1098#448C2×D6111yescharacteristic, complemented
1099#440—611no—
1100#440—611no—
1101#440—611no—
1102#440—611no—
1103#440—611no—
1104#440—611no—
1105#440—611no—
1106#440C2×D6111yescharacteristic, complemented
1107#435—611no—
1108#435—611no—
1109#435—611no—
1110#435—611no—
1111#435—611no—
1112#435—611no—
1113#435—611no—
1114#435C2×D6111yescharacteristic, complemented
1115C2×#107—611no—
1116C2×#107—611no—
1117C2×#107—611no—
1118C2×C4⋊C8—611no—
1119#417—611no—
1120#417—611no—
1121#417—611no—
1122#417—611no—
1123#417—611no—
1124#417—611no—
1125#417—611no—
1126#417C2×D6111yescharacteristic, complemented
1127C2×#103—611no—
1128C2×#103—611no—
1129C2×#103—611no—
1130C2×#103—611no—
1131C2×#103—611no—
1132C2×#103—611no—
1133C2×#103—611no—
1134C2×#103—611no—
1135C2×#103—611no—
1136C2×#103—611no—
1137C2×#103—611no—
1138C2×#103—611no—
1139C2×#103—611no—
1140C2×#103C2×D6111yescharacteristic, complemented
1141C2×#102—611no—
1142C2×#102—611no—
1143C2×#102—611no—
1144C2×#102—611no—
1145C2×C22⋊C8—611no—
1146C2×C22⋊C8—611no—
1147C2×#97—611no—
1148C61C2×#330811yescharacteristic, complemented, Sylow
1149C2×#41—21no—
1150C2×#41—611no—
1151C2×#41—611no—
1152C2×#41—611no—
1153C2×#41—1221no—
1154C2×#41—1221no—
1155C2×#41—1221no—
1156C2×#41—1221no—
1157C2×#41—1221no—
1158C2×#41—1221no—
1159C2×#41—1221no—
1160C2×#41—1221no—
1161C2×#41—1221no—
1162C2×#41—1224no—
1163C2×#41—2442no—
1164C2×#41—2448no—
1165C2×#41C22×D6111yescharacteristic
1166C22×Q8—611no—
1167C22×Q8—611no—
1168C22×Q8—611no—
1169C22×Q8—611no—
1170C22×Q8—611no—
1171C22×Q8—1221no—
1172C22×Q8—1221no—
1173C22×Q8—1221no—
1174C22×Q8—1221no—
1175C22×Q8—1224no—
1176C22×Q8—2442no—
1177C22×Q8C22×D6111yescharacteristic
1178C22×D4—611no—
1179C22×D4—611no—
1180C22×D4—611no—
1181C22×D4—1221no—
1182C22×D4—1221no—
1183C22×D4—1221no—
1184C22×D4—1221no—
1185C23×C4—611no—
1186C23×C4—611no—
1187C23×C4—1221no—
1188C23×C4—1221no—
1189C23×C4—1221no—
1190C23×C4—1221no—
1191C23×C4—1221no—
1192C2×SD16—611no—
1193C2×SD16—611no—
1194C2×SD16—611no—
1195C2×SD16—611no—
1196C2×SD16—611no—
1197C2×SD16—611no—
1198C2×SD16—1224no—
1199C2×SD16—2442no—
1200C2×SD16C22×D6111yescharacteristic
1201C2×SD16C22×D6111yescharacteristic
1202C2×D8—611no—
1203C2×D8—611no—
1204C2×D8—611no—
1205C2×D8—2442no—
1206C2×D8C22×D6111yescharacteristic
1207C2×M16—611no—
1208C2×M16—611no—
1209C2×M16—611no—
1210C2×M16—2442no—
1211C2×M16C22×D6111yescharacteristic
1212C22×C8—611no—
1213C22×C8—611no—
1214C22×C8—611no—
1215C22×C8—611no—
1216C22×C8—611no—
1217C22×C8—611no—
1218C22×C8—611no—
1219C22×C8—2442no—
1220C22×C8C22×D6111yescharacteristic
1221C4⋊Q8—611no—
1222C4⋊Q8—611no—
1223C4⋊Q8—611no—
1224C4⋊Q8—1221no—
1225C4⋊Q8—1221no—
1226C4⋊Q8C22×D6111yescharacteristic
1227#124—21no—
1228#124—611no—
1229#124—611no—
1230#124—611no—
1231#124—1221no—
1232#124—1221no—
1233#124—1221no—
1234#124—1221no—
1235#124—1221no—
1236#124—1221no—
1237#124—1221no—
1238#124—1221no—
1239#124—1221no—
1240#124C22×D6111yescharacteristic
1241#123—21no—
1242#123—21no—
1243#123—1221no—
1244#123—1221no—
1245#123—1221no—
1246#123—1221no—
1247#123—1221no—
1248#123—1221no—
1249#123—1221no—
1250#123—1221no—
1251#123—1221no—
1252#123—1221no—
1253#123—1221no—
1254#123—1221no—
1255#123—1221no—
1256#123—1221no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—611no—
1260C22⋊Q8—611no—
1261C22⋊Q8—611no—
1262C22⋊Q8—1221no—
1263C22⋊Q8—1221no—
1264C22⋊Q8—1221no—
1265C22⋊Q8—1221no—
1266C22⋊Q8—1221no—
1267C22⋊Q8—1221no—
1268C22⋊Q8—1221no—
1269C22⋊Q8—1221no—
1270C22⋊Q8—1221no—
1271C22⋊Q8—1221no—
1272C22⋊Q8—1221no—
1273C22⋊Q8—1221no—
1274C22⋊Q8—1221no—
1275C22⋊Q8—1221no—
1276C22⋊Q8—1221no—
1277C22⋊Q8—1221no—
1278C22⋊Q8C22×D6111yescharacteristic
1279#121—21no—
1280#121—611no—
1281#121—611no—
1282#121—611no—
1283#121—611no—
1284#121—611no—
1285#121—611no—
1286#121—611no—
1287#121—611no—
1288#121—611no—
1289#121—1221no—
1290#121—1221no—
1291#121—1221no—
1292#121—1221no—
1293#121—1221no—
1294#121—1221no—
1295#121—1221no—
1296#121—1221no—
1297#121—1221no—
1298#121—1221no—
1299#121—1221no—
1300#121—1221no—
1301#121—1221no—
1302#121C22×D6111yescharacteristic
1303#121C22×D6111yescharacteristic
1304#121C22×D6111yescharacteristic
1305C4×Q8—611no—
1306C4×Q8—611no—
1307C4×Q8—611no—
1308C4×Q8—1221no—
1309C4×Q8—1221no—
1310C4×Q8C22×D6111yescharacteristic
1311C4×D4—21no—
1312C4×D4—611no—
1313C4×D4—611no—
1314C4×D4—611no—
1315C4×D4—611no—
1316C4×D4—611no—
1317C4×D4—611no—
1318C4×D4—611no—
1319C4×D4—611no—
1320C4×D4—611no—
1321C4×D4—611no—
1322C4×D4—1221no—
1323C4×D4—1221no—
1324C4×D4—1221no—
1325C4×D4—1221no—
1326C4×D4—1221no—
1327C4×D4—1221no—
1328C4×D4—1221no—
1329C4×D4—1221no—
1330C4×D4—1221no—
1331C4×D4C22×D6111yescharacteristic
1332C4×D4C22×D6111yescharacteristic
1333C2×C4⋊C4—611no—
1334C2×C4⋊C4—611no—
1335C2×C4⋊C4—611no—
1336C2×C4⋊C4—611no—
1337C2×C4⋊C4—611no—
1338C2×C4⋊C4—611no—
1339C2×C4⋊C4—611no—
1340C2×C4⋊C4—611no—
1341C2×C4⋊C4—611no—
1342C2×C4⋊C4—611no—
1343C2×C4⋊C4—611no—
1344C2×C4⋊C4—1221no—
1345C2×C4⋊C4—1221no—
1346C2×C4⋊C4—1221no—
1347C2×C4⋊C4—1221no—
1348C2×C4⋊C4—1221no—
1349C2×C4⋊C4—1221no—
1350C2×C4⋊C4—1221no—
1351C2×C4⋊C4—1221no—
1352C2×C4⋊C4—1221no—
1353C2×C4⋊C4C22×D6111yescharacteristic
1354C2×C4⋊C4C22×D6111yescharacteristic
1355C2×C22⋊C4—611no—
1356C2×C22⋊C4—611no—
1357C2×C22⋊C4—1221no—
1358C2×C22⋊C4—1221no—
1359C2×C22⋊C4—1221no—
1360C2×C22⋊C4—1221no—
1361C2×C22⋊C4—1221no—
1362C2×C22⋊C4—1221no—
1363C2×C22⋊C4—1221no—
1364C2×C42—611no—
1365C2×C42—1221no—
1366#107—611no—
1367#107—611no—
1368#107—611no—
1369#107—611no—
1370#107—611no—
1371#107—611no—
1372#107—611no—
1373#107—611no—
1374#107—611no—
1375#107C22×D6111yescharacteristic
1376#107C22×D6111yescharacteristic
1377#107C22×D6111yescharacteristic
1378C4⋊C8—611no—
1379C4⋊C8—611no—
1380C4⋊C8—611no—
1381C4⋊C8C22×D6111yescharacteristic
1382#103—611no—
1383#103—611no—
1384#103—611no—
1385#103—611no—
1386#103—611no—
1387#103—611no—
1388#103—611no—
1389#103—611no—
1390#103—611no—
1391#103—611no—
1392#103—611no—
1393#103—611no—
1394#103—611no—
1395#103—611no—
1396#103—611no—
1397#103—611no—
1398#103—611no—
1399#103—611no—
1400#103C22×D6111yescharacteristic
1401#103C22×D6111yescharacteristic
1402#103C22×D6111yescharacteristic
1403#103C22×D6111yescharacteristic
1404#103C22×D6111yescharacteristic
1405#103C22×D6111yescharacteristic
1406#102—611no—
1407#102—611no—
1408#102—611no—
1409#102—611no—
1410#102—611no—
1411#102—611no—
1412#102—611no—
1413#102—611no—
1414#102—611no—
1415#102—611no—
1416#102—611no—
1417#102—611no—
1418#102C22×D6111yescharacteristic
1419#102C22×D6111yescharacteristic
1420#102C22×D6111yescharacteristic
1421#102C22×D6111yescharacteristic
1422C22⋊C8—611no—
1423C22⋊C8—611no—
1424C22⋊C8—611no—
1425C22⋊C8—611no—
1426C22⋊C8—611no—
1427C22⋊C8—611no—
1428C22⋊C8C22×D6111yescharacteristic
1429C22⋊C8C22×D6111yescharacteristic
1430#97—611no—
1431#97—611no—
1432#97—611no—
1433#97C22×D6111yescharacteristic
1434C24—611no—
1435C24—611no—
1436C24—1221no—
1437C24—1221no—
1438#41—22no—
1439#41—41no—
1440#41—44no—
1441#41—1222no—
1442#41—1222no—
1443#41—1222no—
1444#41—2441no—
1445#41—2444no—
1446#41—2444no—
1447#41—2444no—
1448#41—2444no—
1449#41—2441no—
1450#41—2444no—
1451#41—2441no—
1452#41—2444no—
1453#41—2444no—
1454#41—2444no—
1455#41—2444no—
1456C2×Q8—21no—
1457C2×Q8—21no—
1458C2×Q8—22no—
1459C2×Q8—41no—
1460C2×Q8—614no—
1461C2×Q8—611no—
1462C2×Q8—611no—
1463C2×Q8—1221no—
1464C2×Q8—1221no—
1465C2×Q8—1221no—
1466C2×Q8—1221no—
1467C2×Q8—1221no—
1468C2×Q8—1221no—
1469C2×Q8—1222no—
1470C2×Q8—1222no—
1471C2×Q8—1222no—
1472C2×Q8—1222no—
1473C2×Q8—1221no—
1474C2×Q8—1221no—
1475C2×Q8—1222no—
1476C2×Q8—1222no—
1477C2×Q8—2441no—
1478C2×Q8—2444no—
1479C2×Q8—2444no—
1480C2×Q8—2441no—
1481C2×Q8—2441no—
1482C2×Q8—2444no—
1483C2×Q8—2444no—
1484C2×Q8C23×D6111yescharacteristic
1485C2×Q8C23×D6111yescharacteristic
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—611no—
1491C2×D4—611no—
1492C2×D4—611no—
1493C2×D4—611no—
1494C2×D4—611no—
1495C2×D4—1221no—
1496C2×D4—1221no—
1497C2×D4—1221no—
1498C2×D4—1221no—
1499C2×D4—1222no—
1500C2×D4—1222no—
1501C2×D4—1222no—
1502C2×D4—1222no—
1503C2×D4—1221no—
1504C2×D4—1221no—
1505C2×D4—1224no—
1506C2×D4—1221no—
1507C2×D4—1221no—
1508C2×D4—1221no—
1509C2×D4—1221no—
1510C2×D4—1221no—
1511C2×D4—1221no—
1512C2×D4—1221no—
1513C2×D4—1221no—
1514C2×D4—2444no—
1515C2×D4—2444no—
1516C2×D4—2444no—
1517C2×D4—2444no—
1518C2×D4D4×D6111yescharacteristic
1519C2×D4C23×D6111yescharacteristic
1520C2×D4C23×D6111yescharacteristic
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—611no—
1527C22×C4—611no—
1528C22×C4—611no—
1529C22×C4—611no—
1530C22×C4—611no—
1531C22×C4—611no—
1532C22×C4—611no—
1533C22×C4—611no—
1534C22×C4—611no—
1535C22×C4—611no—
1536C22×C4—611no—
1537C22×C4—1222no—
1538C22×C4—1222no—
1539C22×C4—1222no—
1540C22×C4—1222no—
1541C22×C4—1221no—
1542C22×C4—1221no—
1543C22×C4—1221no—
1544C22×C4—1221no—
1545C22×C4—1221no—
1546C22×C4—1221no—
1547C22×C4—1221no—
1548C22×C4—1221no—
1549C22×C4—1221no—
1550C22×C4—1221no—
1551C22×C4—1221no—
1552C22×C4—1221no—
1553C22×C4—1221no—
1554C22×C4—1221no—
1555C22×C4—1221no—
1556C22×C4—1221no—
1557C22×C4—1221no—
1558C22×C4—1221no—
1559C22×C4—1221no—
1560C22×C4—1221no—
1561C22×C4—1221no—
1562C22×C4—2444no—
1563C22×C4—2444no—
1564C22×C4—2444no—
1565C22×C4—2444no—
1566C22×C4—2444no—
1567C22×C4C23×D6111yescharacteristic
1568C22×C4C23×D6111yescharacteristic
1569SD16—22no—
1570SD16—41no—
1571SD16—1222no—
1572SD16—1222no—
1573SD16—1222no—
1574SD16—2441no—
1575SD16—2441no—
1576SD16—2441no—
1577D8—41no—
1578D8—2441no—
1579D8—2441no—
1580D8—2441no—
1581M16—41no—
1582M16—2441no—
1583M16—2441no—
1584M16—2441no—
1585C2×C8—41no—
1586C2×C8—611no—
1587C2×C8—611no—
1588C2×C8—611no—
1589C2×C8—611no—
1590C2×C8—1222no—
1591C2×C8—1222no—
1592C2×C8—1222no—
1593C2×C8—1222no—
1594C2×C8—2441no—
1595C2×C8—2441no—
1596C2×C8—2441no—
1597C2×C8C23×D6111yescharacteristic
1598C2×C8C23×D6111yescharacteristic
1599C2×C8C23×D6111yescharacteristic
1600C2×C8C23×D6111yescharacteristic
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—611no—
1607C4⋊C4—611no—
1608C4⋊C4—611no—
1609C4⋊C4—611no—
1610C4⋊C4—611no—
1611C4⋊C4—611no—
1612C4⋊C4—611no—
1613C4⋊C4—1221no—
1614C4⋊C4—1221no—
1615C4⋊C4—1221no—
1616C4⋊C4—1221no—
1617C4⋊C4—1221no—
1618C4⋊C4—1221no—
1619C4⋊C4—1221no—
1620C4⋊C4—1221no—
1621C4⋊C4—1221no—
1622C4⋊C4—1221no—
1623C4⋊C4—1221no—
1624C4⋊C4—1221no—
1625C4⋊C4—1221no—
1626C4⋊C4—1221no—
1627C4⋊C4—1221no—
1628C4⋊C4—1221no—
1629C4⋊C4—1221no—
1630C4⋊C4—1221no—
1631C4⋊C4—1221no—
1632C4⋊C4D4×D6111yescharacteristic
1633C4⋊C4C23×D6111yescharacteristic
1634C4⋊C4C23×D6111yescharacteristic
1635C4⋊C4C23×D6111yescharacteristic
1636C4⋊C4C23×D6111yescharacteristic
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—611no—
1645C22⋊C4—611no—
1646C22⋊C4—611no—
1647C22⋊C4—611no—
1648C22⋊C4—611no—
1649C22⋊C4—611no—
1650C22⋊C4—1221no—
1651C22⋊C4—1221no—
1652C22⋊C4—1221no—
1653C22⋊C4—1221no—
1654C22⋊C4—1221no—
1655C22⋊C4—1221no—
1656C22⋊C4—1221no—
1657C22⋊C4—1221no—
1658C22⋊C4—1221no—
1659C22⋊C4—1221no—
1660C22⋊C4—1221no—
1661C22⋊C4—1221no—
1662C22⋊C4—1221no—
1663C22⋊C4—1221no—
1664C22⋊C4—1221no—
1665C22⋊C4—1221no—
1666C22⋊C4—1221no—
1667C22⋊C4—1221no—
1668C22⋊C4—1221no—
1669C22⋊C4—1221no—
1670C22⋊C4—1221no—
1671C22⋊C4D4×D6111yescharacteristic
1672C22⋊C4D4×D6111yescharacteristic
1673C42—21no—
1674C42—611no—
1675C42—611no—
1676C42—611no—
1677C42—1221no—
1678C42—1221no—
1679C42—1221no—
1680C42C23×D6111yescharacteristic
1681C23—21no—
1682C23—21no—
1683C23—611no—
1684C23—614no—
1685C23—611no—
1686C23—611no—
1687C23—1222no—
1688C23—1222no—
1689C23—1222no—
1690C23—1222no—
1691C23—1222no—
1692C23—1221no—
1693C23—1221no—
1694C23—2442no—
1695C23—2442no—
1696C23—2442no—
1697C23—2442no—
1698C23—2442no—
1699C23—2442no—
1700C23C2×D4×D6111yescharacteristic
1701C23C2×D4×D6111yescharacteristic
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—42no—
1706Q8—42no—
1707Q8—612no—
1708Q8—1224no—
1709Q8—1221no—
1710Q8—1221no—
1711Q8—1221no—
1712Q8—2442no—
1713Q8—2442no—
1714Q8—2442no—
1715Q8—2442no—
1716Q8—2442no—
1717Q8—2442no—
1718Q8—2442no—
1719Q8#41×D6112yescomplemented
1720D4—22no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—42no—
1729D4—1222no—
1730D4—1222no—
1731D4—1222no—
1732D4—1221no—
1733D4—1221no—
1734D4—1221no—
1735D4—1221no—
1736D4—2442no—
1737D4—2442no—
1738D4—2442no—
1739D4—2442no—
1740D4—2442no—
1741D4—2442no—
1742D4—2442no—
1743D4—2442no—
1744D4—2442no—
1745D4—2442no—
1746D4—2442no—
1747D4—2442no—
1748D4—2442no—
1749D4—2442no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—42no—
1761C2×C4—42no—
1762C2×C4—42no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—611no—
1766C2×C4—612no—
1767C2×C4—612no—
1768C2×C4—611no—
1769C2×C4—611no—
1770C2×C4—611no—
1771C2×C4—611no—
1772C2×C4—1222no—
1773C2×C4—1222no—
1774C2×C4—1222no—
1775C2×C4—1222no—
1776C2×C4—1222no—
1777C2×C4—1222no—
1778C2×C4—1224no—
1779C2×C4—1222no—
1780C2×C4—1222no—
1781C2×C4—1221no—
1782C2×C4—1221no—
1783C2×C4—1221no—
1784C2×C4—1221no—
1785C2×C4—1221no—
1786C2×C4—1221no—
1787C2×C4—1221no—
1788C2×C4—1221no—
1789C2×C4—1221no—
1790C2×C4—1221no—
1791C2×C4—2442no—
1792C2×C4—2442no—
1793C2×C4—2442no—
1794C2×C4—2442no—
1795C2×C4—2442no—
1796C2×C4—2442no—
1797C2×C4—2442no—
1798C2×C4—2442no—
1799C2×C4—2442no—
1800C2×C4—2442no—
1801C2×C4—2442no—
1802C2×C4—2442no—
1803C2×C4—2442no—
1804C2×C4—2442no—
1805C2×C4—2442no—
1806C2×C4—2442no—
1807C2×C4—2442no—
1808C2×C4—2442no—
1809C2×C4—2442no—
1810C2×C4—2442no—
1811C2×C4C2×D4×D6111yescharacteristic
1812C2×C4C2×D4×D6111yescharacteristic
1813C2×C4C2×D4×D6111yescharacteristic
1814C2×C4C2×D4×D6111yescharacteristic
1815C2×C4C24×D6111yescharacteristic
1816C8—21no—
1817C8—21no—
1818C8—21no—
1819C8—21no—
1820C8—1221no—
1821C8—1221no—
1822C8—1221no—
1823C8—1221no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—612no—
1836C22—612no—
1837C22—612no—
1838C22—612no—
1839C22—1228no—
1840C22—1221no—
1841C22—1221no—
1842C22—1221no—
1843C22—1221no—
1844C22—1221no—
1845C22—4884no—
1846C22—4884no—
1847C22—2444no—
1848C22—2441no—
1849C22—2441no—
1850C22—2441no—
1851C22—2441no—
1852C22—2441no—
1853C22—2441no—
1854C22AGL(1,ℤ/8)×D6112yes—
1855C22C22×D4×D6111yescharacteristic
1856C4—21no—
1857C4—21no—
1858C4—22no—
1859C4—21no—
1860C4—21no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—41no—
1865C4—41no—
1866C4—612no—
1867C4—1221no—
1868C4—1221no—
1869C4—1222no—
1870C4—1221no—
1871C4—1221no—
1872C4—2441no—
1873C4—2441no—
1874C4—2441no—
1875C4—2441no—
1876C4—2441no—
1877C4C2×#41×D6111yescharacteristic
1878C4H(5,𝔽2)×D6111yescharacteristic
1879C2—22no—
1880C2—41no—
1881C2—81no—
1882C2—81no—
1883C2—614no—
1884C2—1222no—
1885C2—4881no—
1886C2—4881no—
1887C2—2441no—
1888C2#546×D6111yescharacteristic
1889C2C2×AGL(1,ℤ/8)×D6111yescharacteristic
1890C2#578×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3308C2
socleC22×C61C23×D4
hypercenter#3308D61
hypocenterC61C2×#3308
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #548×D61C2semidirect
2. #547×D61C2semidirect
3. #21457817C2semidirect
4. #21457816C2semidirect
5. #21457815C2semidirect
6. #21457814C2semidirect
7. #21457813C2semidirect
8. #21457812C2semidirect
9. #21457811C2semidirect
10. #21457810C2semidirect
11. #21457809C2semidirect
12. #21457808C2semidirect
13. #21457807C2semidirect
14. #21457806C2semidirect
15. #21457805C2semidirect
16. #21457804C2semidirect
17. #21457803C2semidirect
18. #489×D61C2semidirect
19. #484×D61C2semidirect
20. #480×D61C2semidirect
21. #477×D61C2semidirect
22. #468×D61C2semidirect
23. #466×D61C2semidirect
24. #463×D61C2semidirect
25. #449×D61C2semidirect
26. #448×D61C2semidirect
27. #440×D61C2semidirect
28. #435×D61C2semidirect
29. #417×D61C2semidirect
30. C2×#103×D61C2semidirect
31. C61×#3308C2semidirect
40. #16840424C22semidirect
41. #16840423C22semidirect
43. #16840422C22semidirect
45. #16840421C22semidirect
47. #16840420C22semidirect
48. #16840419C22semidirect
50. #16840418C22semidirect
51. #16840417C22semidirect
52. #16840416C22semidirect
53. #16840415C22semidirect
55. #16840413C22semidirect
56. #16840413C22semidirect
57. #16840412C22semidirect
58. #16840412C22semidirect
80. #16840124C22semidirect
81. #16840123C22semidirect
82. #16840123C22semidirect
83. #16840122C22semidirect
84. #16840121C22semidirect
85. #16840120C22semidirect
86. #16840120C22semidirect
87. #16840099C22semidirect
88. #16840099C22semidirect
89. #16840098C22semidirect
90. #16840097C22semidirect
91. #16840096C22semidirect
92. #16840096C22semidirect
93. #16840095C22semidirect
94. #16840077C22semidirect
95. #16840077C22semidirect
96. #16840076C22semidirect
97. #16840075C22semidirect
98. #16840074C22semidirect
99. #16840074C22semidirect
100. #16840073C22semidirect
101. #16840058C22semidirect
102. #16840057C22semidirect
103. #16840056C22semidirect
104. #16840056C22semidirect
105. #16840055C22semidirect
106. #16840055C22semidirect
107. #16840054C22semidirect
108. #16840011C22semidirect
109. #16840010C22semidirect
110. #16840009C22semidirect
111. #16840008C22semidirect
112. #16840007C22semidirect
113. #16840006C22semidirect
114. #16840005C22semidirect
115. #16839999C22semidirect
116. #16839998C22semidirect
117. #16839997C22semidirect
118. #16839997C22semidirect
119. #16839996C22semidirect
120. #16839996C22semidirect
121. #16839995C22semidirect
122. #16839980C22semidirect
123. #16839979C22semidirect
124. #16839978C22semidirect
125. #16839977C22semidirect
126. #16839976C22semidirect
127. #16839975C22semidirect
128. #16839974C22semidirect
129. #16839910C22semidirect
130. #16839909C22semidirect
131. #16839908C22semidirect
132. #16839907C22semidirect
133. #16839906C22semidirect
134. #16839905C22semidirect
135. #16839904C22semidirect
136. #16839903C22semidirect
137. #16839902C22semidirect
138. #16839902C22semidirect
139. #16839901C22semidirect
140. #16839900C22semidirect
141. #16839899C22semidirect
142. #16839899C22semidirect
143. #16839865C22semidirect
144. #16839864C22semidirect
145. #16839863C22semidirect
146. #16839862C22semidirect
147. #16839861C22semidirect
148. #16839860C22semidirect
149. #16839859C22semidirect
150. #16839836C22semidirect
151. #16839835C22semidirect
152. #16839834C22semidirect
153. #16839833C22semidirect
154. #16839832C22semidirect
155. #16839831C22semidirect
156. #16839830C22semidirect
161. #16839764C22semidirect
162. #16839763C22semidirect
163. #16839762C22semidirect
164. #16839762C22semidirect
165. #16839761C22semidirect
166. #16839760C22semidirect
167. #16839760C22semidirect
168. C2×#14519702C22semidirect
169. C2×#14519701C22semidirect
170. C2×#14519700C22semidirect
177. #103×D61C22semidirect
178. #103×D61C22semidirect
179. #103×D61C22semidirect
180. #103×D61C22semidirect
188. C61×#548C22semidirect
189. C61×#547C22semidirect
190. C61×#489C22semidirect
191. C61×#484C22semidirect
192. C61×#480C22semidirect
193. C61×#477C22semidirect
194. C61×#468C22semidirect
195. C61×#466C22semidirect
196. C61×#463C22semidirect
197. C61×#449C22semidirect
198. C61×#448C22semidirect
199. C61×#440C22semidirect
200. C61×#435C22semidirect
201. C61×#417C22semidirect
202. C2×#103×C61C22semidirect
547. Q8×D61#41semidirect
761. Q8×C61C2×#41semidirect
869. Dic122C2×#41semidirect
951. #3308D61direct (N × H)
976. D61#3308direct (N × H)
996. #548C2×D61semidirect
1008. #547C2×D61semidirect
1034. #489C2×D61semidirect
1042. #484C2×D61semidirect
1050. #480C2×D61semidirect
1058. #477C2×D61semidirect
1066. #468C2×D61semidirect
1074. #466C2×D61semidirect
1082. #463C2×D61semidirect
1090. #449C2×D61semidirect
1098. #448C2×D61semidirect
1106. #440C2×D61semidirect
1114. #435C2×D61semidirect
1126. #417C2×D61semidirect
1140. C2×#103C2×D61semidirect
1148. C61C2×#3308semidirect
1719. Q8#41×D61semidirect

Maximal subgroups

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

subgroupindex
#548×D612
#547×D612
#214578172
#214578162
#214578152
#214578142
#214578132
#214578122
#214578112
#214578102
#214578092
#214578082
#214578072
#214578062
#214578052
#214578042
#214578032
#489×D612
#484×D612
#480×D612
#477×D612
#468×D612
#466×D612
#463×D612
#449×D612
#448×D612
#440×D612
#435×D612
#417×D612
C2×#103×D612
C61×#33082
C2×#330861