Finite Group Databasebeta

← #30573472

Subgroups — #30573472

Order 15616.

1790 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460395C211yesmaximal, characteristic, complemented
2#21459830C211yesmaximal, characteristic, complemented
3#21458893C211yesmaximal, characteristic, complemented
4#21458889C211yesmaximal, characteristic, complemented
5#21458628C211yesmaximal, characteristic, complemented
6#21458563C211yesmaximal, characteristic, complemented
7#21458006C211yesmaximal, characteristic, complemented
8#21457971C211yesmaximal, characteristic, complemented
9#21457886C211yesmaximal, characteristic, complemented
10#21457862C211yesmaximal, characteristic, complemented
11#21457754C211yesmaximal, characteristic, complemented
12#21457739C211yesmaximal, characteristic, complemented
13#21457560C211yesmaximal, characteristic, complemented
14#21457521C211yesmaximal, characteristic, complemented
15#21457398C211yesmaximal, characteristic, complemented
16#21457389C211yesmaximal, characteristic, complemented
17#21457369C211yesmaximal, characteristic, complemented
18#21457323C211yesmaximal, characteristic, complemented
19#21457243C211yesmaximal, characteristic, complemented
20#21457232C211yesmaximal, characteristic, complemented
21#21457153C211yesmaximal, characteristic, complemented
22#21456928C211yesmaximal, characteristic, complemented
23#21456920C211yesmaximal, characteristic, complemented
24#21456829C211yesmaximal, characteristic, complemented
25#21456117C211yesmaximal, characteristic, complemented
26#21456110C211yesmaximal, characteristic, complemented
27#21455927C211yesmaximal, characteristic, complemented
28#21455338C211yesmaximal, characteristic, complemented
29#21455277C211yesmaximal, characteristic, complemented
30#21454956C211yesmaximal, characteristic, complemented
31C61×#3044C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519800C2211yescharacteristic
34C2×#14519800C2211yescharacteristic, complemented
35C2×SD16×D61C2211yescharacteristic
36#16840508—21no—
37#16840502—21no—
38#16840494C2211yescharacteristic
39Q8×Dic122C2211yescharacteristic, complemented
40#16840486C2211yescharacteristic
41#16840485—21no—
42#16840485C2211yescharacteristic
43#16840484—21no—
44#16840484C2211yescharacteristic, complemented
45#16840480—21no—
46#16840480C2211yescharacteristic, complemented
47#16840475—21no—
48#16840475C2211yescharacteristic
49#16840457—21no—
50#16840439—21no—
51#16840431C2211yescharacteristic
52Q8×C22⋊D61C2211yescharacteristic
53#16840424C2211yescharacteristic
54#16840423C2211yescharacteristic
55#16840423C2211yescharacteristic
56#16840423C2211yescharacteristic, complemented
57#16840415C2211yescharacteristic
58#16840405C2211yescharacteristic
59#16840400C2211yescharacteristic
60#16840384—21no—
61#16840384C2211yescharacteristic
62#16840383—21no—
63#16840383C2211yescharacteristic, complemented
64#16840373C2211yescharacteristic
65#16840367C2211yescharacteristic
66#16840364—21no—
67#16840358—21no—
68#16840352—21no—
69#16840348—21no—
70#16840330C2211yescharacteristic
71#16840316—21no—
72#16840316C2211yescharacteristic, complemented
73#16840313C2211yescharacteristic
74#16840291C2211yescharacteristic
75#16840290—21no—
76#16840290C2211yescharacteristic
77#16840238C2211yescharacteristic
78C4×#11758226C2211yescharacteristic, complemented
79#16840155C2211yescharacteristic
80#16840155C2211yescharacteristic, complemented
81#16840154C2211yescharacteristic, complemented
82#16840148C2211yescharacteristic
83#16840147C2211yescharacteristic
84#16840144C2211yescharacteristic
85#16840123C2211yescharacteristic
86#16840123C2211yescharacteristic
87#16840123C2211yescharacteristic, complemented
88#16840121C2211yescharacteristic
89#16840112C2211yescharacteristic, complemented
90#16840107C2211yescharacteristic
91#16840102C2211yescharacteristic
92#16840102C2211yescharacteristic, complemented
93#16840101C2211yescharacteristic
94#16840086C2211yescharacteristic
95#16840086C2211yescharacteristic, complemented
96#16840085C2211yescharacteristic
97#16840070C2211yescharacteristic, complemented
98#16840069C2211yescharacteristic, complemented
99#16840069C2211yescharacteristic, complemented
100#16840063C2211yescharacteristic, complemented
101#16840055C2211yescharacteristic, complemented
102#16840053C2211yescharacteristic
103#16840045C2211yescharacteristic, complemented
104#16840045C2211yescharacteristic, complemented
105#16840043C2211yescharacteristic, complemented
106#16840040C2211yescharacteristic
107#16840017C2211yescharacteristic
108#16840015C2211yescharacteristic, complemented
109#16840011C2211yescharacteristic
110#16840008C2211yescharacteristic
111#16840002C2211yescharacteristic, complemented
112#16840000C2211yescharacteristic
113#16840000C2211yescharacteristic, complemented
114#16839998C2211yescharacteristic
115#16839994C2211yescharacteristic
116#16839991C2211yescharacteristic, complemented
117#16839990C2211yescharacteristic
118#16839988C2211yescharacteristic
119#16839987C2211yescharacteristic
120#16839986C2211yescharacteristic
121#16839986C2211yescharacteristic
122#16839986C2211yescharacteristic, complemented
123#16839986C2211yescharacteristic, complemented
124#16839986C2211yescharacteristic, complemented
125#16839981C2211yescharacteristic
126#16839980C2211yescharacteristic
127#16839980C2211yescharacteristic, complemented
128#16839978C2211yescharacteristic
129#16839978C2211yescharacteristic, complemented
130#16839974C2211yescharacteristic
131#16839970C2211yescharacteristic, complemented
132#16839969C2211yescharacteristic, complemented
133#16839965C2211yescharacteristic
134#16839964C2211yescharacteristic, complemented
135#16839963C2211yescharacteristic
136#16839962C2211yescharacteristic
137#16839962C2211yescharacteristic
138#16839961C2211yescharacteristic
139#16839960C2211yescharacteristic
140#16839958C2211yescharacteristic
141#16839927C2211yescharacteristic
142#16839927C2211yescharacteristic, complemented
143#16839924C2211yescharacteristic
144#16839923C2211yescharacteristic
145#16839923C2211yescharacteristic
146#16839923C2211yescharacteristic, complemented
147#16839923C2211yescharacteristic, complemented
148#16839918C2211yescharacteristic, complemented
149#16839916C2211yescharacteristic
150#16839916C2211yescharacteristic
151#16839911C2211yescharacteristic
152#16839910C2211yescharacteristic
153#16839907C2211yescharacteristic
154#16839906C2211yescharacteristic
155#16839901C2211yescharacteristic
156#16839901C2211yescharacteristic, complemented
157#16839901C2211yescharacteristic, complemented
158#16839897C2211yescharacteristic
159#16839891C2211yescharacteristic, complemented
160#16839889C2211yescharacteristic, complemented
161#16839871C2211yescharacteristic
162#16839869C2211yescharacteristic, complemented
163#16839869C2211yescharacteristic, complemented
164#16839866C2211yescharacteristic, complemented
165#16839865C2211yescharacteristic, complemented
166#16839863C2211yescharacteristic
167#16839860C2211yescharacteristic
168#16839860C2211yescharacteristic, complemented
169Q16×Dic61C2211yescharacteristic, complemented
170#16839854C2211yescharacteristic, complemented
171C4×#11758201C2211yescharacteristic
172C4×#11758201C2211yescharacteristic, complemented
173#16839833C2211yescharacteristic
174#16839832C2211yescharacteristic
175#16839831C2211yescharacteristic
176#16839831C2211yescharacteristic, complemented
177#16839827C2211yescharacteristic
178C8×C22⋊D61C2211yescharacteristic, complemented
179#16839823C2211yescharacteristic, complemented
180#16839822C2211yescharacteristic
181#16839818C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839765C2211yescharacteristic
185#16839757C2211yescharacteristic
186#16839757C2211yescharacteristic
187#16839757C2211yescharacteristic, complemented
188C2×#137×C61C2211yescharacteristic
189C22×Q16×C61C2211yescharacteristic, complemented
190C61×#536C2211yescharacteristic
191C61×#519C2211yescharacteristic, complemented
192C61×#464C2211yescharacteristic
193C61×#464C2211yescharacteristic
194C61×#464C2211yescharacteristic
195C61×#464C2211yescharacteristic
196C61×#462C2211yescharacteristic, complemented
197C61×#462C2211yescharacteristic, complemented
198C61×#462C2211yescharacteristic, complemented
199C61×#462C2211yescharacteristic, complemented
200C61×#424C2211yescharacteristic, complemented
201C61×#419C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758226C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×D4×D61C2311yescharacteristic
209#14519809—42no—
210#14519800—42no—
211#14519800—42no—
212C2×#11758202C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758202C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758200C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×#11758201C2311yescharacteristic
220C2×#11758201C2311yescharacteristic
221C2×#11758201C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223C2×#11758201C2311yescharacteristic
224C2×#11758201C2311yescharacteristic
225SD16×D61—42no—
226C2×D488C2311yescharacteristic
227C2×D488C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758189C2311yescharacteristic
230C2×C8×D61C2311yescharacteristic
231C2×C8×D61C2311yescharacteristic
232C2×C8×D61C2311yescharacteristic
233#14519777—21no—
234#14519777C2311yescharacteristic
235#14519776—21no—
236#14519776—21no—
237#14519776C2311yescharacteristic
238#14519776C2311yescharacteristic
239#14519775—21no—
240#14519775C2311yescharacteristic
241#14519774C2311yescharacteristic
242#14519773—21no—
243#14519773C2311yescharacteristic
244#14519772—21no—
245#14519772—21no—
246#14519772—21no—
247#14519772—21no—
248#14519772—21no—
249#14519772—21no—
250#14519772—21no—
251#14519772—21no—
252#14519772D411yescharacteristic
253#14519771—21no—
254#14519771—21no—
255#14519771—21no—
256#14519770—21no—
257#14519770—21no—
258#14519770D411yescharacteristic
259#14519769C2311yescharacteristic
260#14519767—21no—
261#14519767—21no—
262#14519767—21no—
263#14519767D411yescharacteristic
264#14519766—21no—
265#14519766—21no—
266#14519766—21no—
267#14519766C2311yescharacteristic
268#14519766C2311yescharacteristic
269#14519766C2311yescharacteristic
270#14519766C2311yescharacteristic
271#14519765—21no—
272#14519765—21no—
273#14519765—21no—
274#14519765—21no—
275#14519765C2311yescharacteristic
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763D411yescharacteristic
281#14519762—21no—
282#14519762—21no—
283#14519762—21no—
284#14519762—21no—
285#14519762—21no—
286#14519762D411yescharacteristic
287#14519761—21no—
288#14519760—21no—
289#14519759—21no—
290#14519759—21no—
291#14519759—21no—
292#14519759—21no—
293#14519759D411yescharacteristic
294#14519757—21no—
295#14519757—21no—
296#14519757C2311yescharacteristic
297#14519756—21no—
298#14519756C2311yescharacteristic
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519755—21no—
303#14519755D411yescharacteristic
304#14519753—21no—
305#14519753—21no—
306#14519753—21no—
307#14519753—21no—
308#14519753C2311yescharacteristic
309#14519753C2311yescharacteristic
310#14519753C2311yescharacteristic
311#14519753C2311yescharacteristic
312#14519753C2311yescharacteristic
313#14519752—21no—
314#14519752—21no—
315#14519752—21no—
316#14519752—21no—
317#14519752C2311yescharacteristic
318#14519751—21no—
319#14519751—21no—
320#14519751—21no—
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#14519750—21no—
331#14519750D411yescharacteristic
332#14519749—21no—
333#14519748—21no—
334#14519748C2311yescharacteristic
335#14519747—21no—
336#14519747—21no—
337#14519747—21no—
338#14519745—21no—
339Q8×Dic61C2311yescharacteristic
340Q8×Dic61C2311yescharacteristic
341Q8×Dic61C2311yescharacteristic
342Q8×Dic61C2311yescharacteristic
343Q8×Dic61C2311yescharacteristic
344C4×Dic122—21no—
345C4×Dic122—21no—
346C4×Dic122—21no—
347C4×Dic122—21no—
348C4×Dic122—21no—
349C4×Dic122C2311yescharacteristic
350C4×Dic122C2311yescharacteristic
351#14519742—21no—
352#14519742C2311yescharacteristic
353C4×D244—21no—
354C4×D244—21no—
355C4×D244C2311yescharacteristic
356C4×D244C2311yescharacteristic
357C4×D244C2311yescharacteristic
358C4×D244C2311yescharacteristic
359D4×Dic61C2311yescharacteristic
360#14519739—21no—
361#14519739—21no—
362#14519739—21no—
363#14519739C2311yescharacteristic
364C4×C22⋊D61—21no—
365C4×C22⋊D61—21no—
366C4×C22⋊D61—21no—
367C4×C22⋊D61—21no—
368C4×C22⋊D61—21no—
369C4×C22⋊D61C2311yescharacteristic
370C4×C22⋊D61C2311yescharacteristic
371#14519737—21no—
372#14519737—21no—
373#14519735—21no—
374#14519735—21no—
375#14519735—21no—
376#14519735C2311yescharacteristic
377#14519735C2311yescharacteristic
378#14519734—21no—
379#14519734—21no—
380#14519734—21no—
381#14519734—21no—
382#14519734C2311yescharacteristic
383#14519733—21no—
384C4⋊C4×D61—21no—
385C2×#11758198—21no—
386C22⋊C4×D61—21no—
387C42×D61—21no—
388C42×D61C2311yescharacteristic
389#14519711C2311yescharacteristic
390#14519711C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519710C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519709C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428C22⋊#92418C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519688C2311yescharacteristic
434#14519687C2311yescharacteristic
435#14519687C2311yescharacteristic
436#14519687C2311yescharacteristic
437C4×#92418C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C22×Q8×C61C2311yescharacteristic
441C22×Q8×C61C2311yescharacteristic
442#137×C61—42no—
443C2×Q16×C61—42no—
444C2×Q16×C61C2311yescharacteristic
445C2×Q16×C61C2311yescharacteristic
446C2×Q16×C61C2311yescharacteristic
447C2×Q16×C61C2311yescharacteristic
448C2×Q16×C61C2311yescharacteristic
449C2×Q16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×M16×C61C2311yescharacteristic
453C22×C8×C61C2311yescharacteristic
454C4⋊Q8×C61C2311yescharacteristic
455C4⋊Q8×C61C2311yescharacteristic
456#124×C61C2311yescharacteristic
457#124×C61C2311yescharacteristic
458#123×C61—21no—
459#123×C61—21no—
460C22⋊Q8×C61—21no—
461C22⋊Q8×C61—21no—
462C4×Q8×C61—21no—
463C4×Q8×C61—21no—
464C4×Q8×C61C2311yescharacteristic
465C4×Q8×C61C2311yescharacteristic
466C4×Q8×C61C2311yescharacteristic
467C4×Q8×C61C2311yescharacteristic
468#117×C61—21no—
469#117×C61—21no—
470#117×C61C2311yescharacteristic
471#117×C61C2311yescharacteristic
472C4⋊C8×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475C4⋊C8×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#103×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C23×D61—21no—
485#41×C61—41no—
486#41×C61—41no—
487C2×Q8×C61—21no—
488C2×Q8×C61—21no—
489C2×Q8×C61—22no—
490C2×Q8×C61—41no—
491C2×Q8×C61—41no—
492C2×Q8×C61—41no—
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×Q8×C61C2411yescharacteristic
496C2×Q8×C61C2411yescharacteristic
497C2×Q8×C61C2411yescharacteristic
498C2×D4×C61—21no—
499C2×D4×C61C2411yescharacteristic
500C22×C4×C61—21no—
501C22×C4×C61—21no—
502C22×C4×C61—21no—
503C22×C4×C61C2411yescharacteristic
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61—21no—
507C2×C22⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61C2×D411yescharacteristic
512C2×C22⋊D61C2×D411yescharacteristic
513C22×Dic61—21no—
514#11758226—22no—
515#11758226—41no—
516#11758226—41no—
517#11758226—41no—
518#11758226—41no—
519#11758226—41no—
520#11758226—41no—
521#11758226—41no—
522Q8×D61—22no—
523Q8×D61—41no—
524D4×D61—41no—
525D4×D61—41no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244—21no—
529C2×D244—21no—
530C2×D244—21no—
531C2×D244—21no—
532C2×D244—21no—
533C2×D244C2×D411yescharacteristic
534C2×D244C2411yescharacteristic
535C2×D244C2411yescharacteristic
536C2×D244C2411yescharacteristic
537C2×C4×D61—21no—
538C2×C4×D61—21no—
539C2×C4×D61—21no—
540C2×C4×D61—21no—
541C2×C4×D61—21no—
542C2×C4×D61—21no—
543C2×C4×D61—21no—
544C2×C4×D61—21no—
545C2×C4×D61—21no—
546C2×C4×D61C2×D411yescharacteristic
547C2×C4×D61C2×D411yescharacteristic
548C2×C4×D61C2411yescharacteristic
549C2×C4×D61C2411yescharacteristic
550C2×Dic122—21no—
551C2×Dic122—21no—
552C2×Dic122—21no—
553C2×Dic122—21no—
554C2×Dic122C2×D411yescharacteristic
555C2×Dic122C2411yescharacteristic
556Q16×C61—22no—
557Q16×C61—22no—
558Q16×C61—22no—
559Q16×C61—41no—
560Q16×C61—41no—
561Q16×C61—41no—
562SD16×C61—22no—
563SD16×C61—41no—
564M16×C61—41no—
565C2×C8×C61—41no—
566C2×C8×C61C2411yescharacteristic
567C2×C8×C61C2411yescharacteristic
568C2×C8×C61C2411yescharacteristic
569C2×C8×C61C2411yescharacteristic
570C4⋊C4×C61—21no—
571C4⋊C4×C61—21no—
572C4⋊C4×C61—21no—
573C4⋊C4×C61—21no—
574C4⋊C4×C61—21no—
575C4⋊C4×C61—21no—
576C4⋊C4×C61—21no—
577C4⋊C4×C61—21no—
578C4⋊C4×C61C2×D411yescharacteristic
579C4⋊C4×C61C2×D411yescharacteristic
580C4⋊C4×C61C2411yescharacteristic
581C4⋊C4×C61C2411yescharacteristic
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61—21no—
585C22⋊C4×C61—21no—
586C22⋊C4×C61—21no—
587C22⋊C4×C61C2×D411yescharacteristic
588C22⋊C4×C61C2×D411yescharacteristic
589C42×C61—21no—
590C42×C61—21no—
591C42×C61—21no—
592C42×C61—21no—
593C42×C61—21no—
594C42×C61C2411yescharacteristic
595C42×C61C2411yescharacteristic
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598C22⋊Dic61—21no—
599C22⋊Dic61C2×D411yescharacteristic
600C22⋊Dic61C2×D411yescharacteristic
601#11758202—41no—
602#11758202—41no—
603#11758202—41no—
604#11758201—22no—
605#11758201—22no—
606#11758201—41no—
607#11758201—41no—
608#11758201—41no—
609#11758201—41no—
610#11758201—41no—
611#11758200—41no—
612#11758199—41no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622#11758198—21no—
623#11758198—21no—
624#11758198—21no—
625#11758198—21no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198C2×D411yescharacteristic
640#11758198C2×D411yescharacteristic
641#11758198C2×D411yescharacteristic
642#11758198C2×D411yescharacteristic
643#11758198C2×D411yescharacteristic
644#11758198C2×D411yescharacteristic
645C4⋊Dic61—21no—
646C4⋊Dic61—21no—
647C4⋊Dic61—21no—
648C4⋊Dic61—21no—
649C4⋊Dic61—21no—
650C4⋊Dic61—21no—
651C4⋊Dic61—21no—
652C4⋊Dic61C2×D411yescharacteristic
653C4⋊Dic61C2×D411yescharacteristic
654C4⋊Dic61C2411yescharacteristic
655C4⋊Dic61C2411yescharacteristic
656C4⋊Dic61C2411yescharacteristic
657C4⋊Dic61C2411yescharacteristic
658#11758196—21no—
659#11758196—21no—
660#11758196—21no—
661#11758196—21no—
662#11758196—21no—
663#11758196—21no—
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196C2×D411yescharacteristic
673#11758196C2×D411yescharacteristic
674#11758196C2×D411yescharacteristic
675#11758196C2×D411yescharacteristic
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678C4×Dic61—21no—
679C4×Dic61—21no—
680C4×Dic61—21no—
681C4×Dic61—21no—
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61C2×D411yescharacteristic
688C4×Dic61C2×D411yescharacteristic
689C4×Dic61C2411yescharacteristic
690C4×Dic61C2411yescharacteristic
691C2×#92418C2411yescharacteristic
692C2×#92418C2411yescharacteristic
693C2×#92418C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695D488—41no—
696D488—41no—
697#11758190—41no—
698#11758190—41no—
699#11758189—41no—
700C8×D61—41no—
701C8×D61—41no—
702C8×D61—41no—
703C23×C61—21no—
704C23×C61C22×D411yescharacteristic
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—81no—
709C22×D61—81no—
710C22×D61—81no—
711C22×D61C22×D411yescharacteristic
712C22×D61C22×D411yescharacteristic
713Q8×C61—21no—
714Q8×C61—21no—
715Q8×C61—21no—
716Q8×C61—21no—
717Q8×C61—21no—
718Q8×C61—21no—
719Q8×C61—21no—
720Q8×C61—21no—
721Q8×C61—21no—
722Q8×C61—42no—
723Q8×C61—81no—
724Q8×C61H(5,𝔽2)12yes—
725D4×C61—21no—
726D4×C61—21no—
727D4×C61—81no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—42no—
738C2×C4×C61—81no—
739C2×C4×C61—81no—
740C2×C4×C61C22×D411yescharacteristic
741C2×C4×C61C22×D411yescharacteristic
742C2×C4×C61C22×D411yescharacteristic
743C2×C4×C61C22×D411yescharacteristic
744C2×C4×C61C22×D411yescharacteristic
745C2×C4×C61C2511yescharacteristic
746C22⋊D61—41no—
747C22⋊D61—41no—
748C22⋊D61—81no—
749C22⋊D61—81no—
750C22⋊D61—81no—
751C22⋊D61—81no—
752C22⋊D61—81no—
753C22⋊D61—81no—
754C22⋊D61—81no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—81no—
761C2×Dic61C22×D411yescharacteristic
762C2×Dic61C22×D411yescharacteristic
763C2×Dic61C22×D411yescharacteristic
764C2×Dic61C22×D411yescharacteristic
765C2×Dic61C22×D411yescharacteristic
766C2×Dic61C22×D411yescharacteristic
767D244—21no—
768D244—21no—
769D244—21no—
770D244—21no—
771D244—21no—
772D244—21no—
773D244—41no—
774D244—42no—
775D244—81no—
776D244—81no—
777D244—81no—
778D244—81no—
779D244—81no—
780D244—81no—
781C4×D61—21no—
782C4×D61—21no—
783C4×D61—21no—
784C4×D61—21no—
785C4×D61—41no—
786C4×D61—41no—
787C4×D61—42no—
788C4×D61—42no—
789C4×D61—42no—
790C4×D61—81no—
791C4×D61—81no—
792C4×D61—81no—
793C4×D61—81no—
794C4×D61—81no—
795C4×D61—81no—
796Dic122—21no—
797Dic122—21no—
798Dic122—41no—
799Dic122—42no—
800Dic122—81no—
801Dic122—81no—
802Dic122—81no—
803C8×C61—21no—
804C8×C61—21no—
805C8×C61—21no—
806C8×C61—21no—
807#92418—21no—
808#92418—21no—
809#92418—21no—
810#92418—21no—
811#62013—611nomaximal, Sylow
812C22×C61—21no—
813C22×C61—21no—
814C22×C61—21no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61C23×D411yescharacteristic
819C2×D61—21no—
820C2×D61—21no—
821C2×D61—21no—
822C2×D61—21no—
823C2×D61—21no—
824C2×D61—21no—
825C2×D61—41no—
826C2×D61—41no—
827C2×D61—41no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—162no—
835C4×C61—21no—
836C4×C61—21no—
837C4×C61—21no—
838C4×C61—21no—
839C4×C61—22no—
840C4×C61—21no—
841C4×C61—41no—
842C4×C61—41no—
843C4×C61—41no—
844C4×C61—41no—
845C4×C61—41no—
846C4×C61—41no—
847C4×C61C2×H(5,𝔽2)11yescharacteristic
848C4×C61#58511yescharacteristic
849Dic61—21no—
850Dic61—21no—
851Dic61—21no—
852Dic61—21no—
853Dic61—21no—
854Dic61—21no—
855Dic61—41no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860#3562—611no—
861#3518—611no—
862#3402—611no—
863#3401—611no—
864#3375—611no—
865#3369—611no—
866#3321—611no—
867#3319—611no—
868#3313—611no—
869#3311—611no—
870#3304—611no—
871#3302—611no—
872#3285—611no—
873#3282—611no—
874#3271—611no—
875#3270—611no—
876#3269—611no—
877#3266—611no—
878#3258—611no—
879#3257—611no—
880#3248—611no—
881#3225—611no—
882#3224—611no—
883#3216—611no—
884#3127—611no—
885#3126—611no—
886#3111—611no—
887#3044D6111yescharacteristic, complemented
888#3043—611no—
889#3035—611no—
890#2992—611no—
891C2×C61—41no—
892C2×C61—81no—
893C2×C61#348811yescharacteristic
894C2×C61#358411yescharacteristic
895C2×C61#358611yescharacteristic
896D61—41no—
897D61—41no—
898D61—81no—
899D61—81no—
900D61—81no—
901C2×#137—611no—
902C2×#137C2×D6111yescharacteristic
903C2×#135—611no—
904C2×#135—611no—
905C22×Q16C2×D6111yescharacteristic, complemented
906C22×SD16—611no—
907#562—1221no—
908#560—1221no—
909#559—611no—
910Q82—611no—
911#556—611no—
912#556—611no—
913#556—611no—
914#556—611no—
915#556—1221no—
916#556—1221no—
917#556—1221no—
918#555—611no—
919#555—1221no—
920#553—1221no—
921#551—1221no—
922#550—611no—
923D4×Q8—611no—
924#548—611no—
925#548—611no—
926#548—611no—
927#548—611no—
928#547—611no—
929#546—611no—
930#546—611no—
931#542—611no—
932#542—611no—
933#542—1221no—
934#542—1221no—
935#541—611no—
936#540—611no—
937#540—1221no—
938#539—1221no—
939#538—1221no—
940#538—1221no—
941#536C2×D6111yescharacteristic
942#535—611no—
943#533—611no—
944#533—1221no—
945#532—611no—
946#529—611no—
947#529—611no—
948#529—1221no—
949#519—611no—
950#519C2×D6111yescharacteristic, complemented
951C4×#41—611no—
952#497—611no—
953#497—611no—
954#497—611no—
955#496—611no—
956#495—611no—
957#495—611no—
958#489—611no—
959#489—611no—
960#489—611no—
961#489—611no—
962#487—611no—
963#486—611no—
964#485—611no—
965#485—611no—
966#485—611no—
967#482—611no—
968#482—611no—
969#482—611no—
970#479—611no—
971#479—611no—
972#479—611no—
973#478—611no—
974#477—611no—
975#476—611no—
976#475—611no—
977#475—611no—
978#474—611no—
979#474—611no—
980#470—611no—
981#469—611no—
982#468—611no—
983#468—611no—
984#467—611no—
985#467—611no—
986#467—611no—
987#466—611no—
988#465—611no—
989#465—611no—
990#465—611no—
991#465—611no—
992#464—611no—
993#464—611no—
994#464—611no—
995#464—611no—
996#464—611no—
997#464—611no—
998#464—611no—
999#464C2×D6111yescharacteristic
1000#464C2×D6111yescharacteristic
1001#464C2×D6111yescharacteristic
1002#464C2×D6111yescharacteristic
1003#463—611no—
1004#463—611no—
1005#463—611no—
1006#463—611no—
1007#463—611no—
1008#462—611no—
1009#462—611no—
1010#462C2×D6111yescharacteristic, complemented
1011#462C2×D6111yescharacteristic, complemented
1012#462C2×D6111yescharacteristic, complemented
1013#462C2×D6111yescharacteristic, complemented
1014#461—611no—
1015#461—611no—
1016#460—611no—
1017#460—611no—
1018#460—611no—
1019#460—611no—
1020#460—611no—
1021#459—611no—
1022#452—611no—
1023#452—611no—
1024#452—611no—
1025#452—611no—
1026#452—611no—
1027#452—611no—
1028#452—611no—
1029#451—611no—
1030#451—611no—
1031#451—611no—
1032#450—611no—
1033#449—611no—
1034#449—611no—
1035#449—611no—
1036#448—611no—
1037#448—611no—
1038#448—611no—
1039#447—611no—
1040#446—611no—
1041#446—611no—
1042#442—611no—
1043#441—611no—
1044#441—611no—
1045#441—611no—
1046#440—611no—
1047#440—611no—
1048#440—611no—
1049#440—611no—
1050C4×Q16—611no—
1051C4×Q16—611no—
1052C4×SD16—611no—
1053C4×SD16—611no—
1054#435—611no—
1055#435—611no—
1056#435—611no—
1057#435—611no—
1058C8×D4—611no—
1059C8×D4—611no—
1060#433—611no—
1061#433—611no—
1062#432—611no—
1063#424—611no—
1064#424C2×D6111yescharacteristic, complemented
1065C2×C4⋊C8—611no—
1066#419C2×D6111yescharacteristic, complemented
1067#418—611no—
1068#416—611no—
1069#416—611no—
1070#416—611no—
1071#416C2×D6111yescharacteristic
1072C61#6201311yescharacteristic, complemented, Sylow
1073C2×#41—611no—
1074C2×#41—611no—
1075C2×#41—611no—
1076C2×#41—611no—
1077C2×#41C22×D6111yescharacteristic
1078C22×Q8—611no—
1079C22×Q8C22×D6111yescharacteristic
1080C22×Q8C22×D6111yescharacteristic
1081C22×D4—611no—
1082#137—42no—
1083#137—2442no—
1084#135—2442no—
1085#135—2442no—
1086C2×Q16—42no—
1087C2×Q16—611no—
1088C2×Q16—611no—
1089C2×Q16—611no—
1090C2×Q16C22×D6111yescharacteristic
1091C2×Q16C22×D6111yescharacteristic
1092C2×Q16C22×D6111yescharacteristic
1093C2×Q16C22×D6111yescharacteristic
1094C2×Q16C22×D6111yescharacteristic
1095C2×Q16C22×D6111yescharacteristic
1096C2×SD16—611no—
1097C2×SD16—611no—
1098C2×SD16—611no—
1099C2×SD16—611no—
1100C2×SD16—611no—
1101C2×SD16—611no—
1102C2×SD16—611no—
1103C2×SD16—611no—
1104C2×SD16—611no—
1105C2×SD16—611no—
1106C2×SD16—2442no—
1107C2×SD16C22×D6111yescharacteristic
1108C2×SD16C22×D6111yescharacteristic
1109C2×D8—611no—
1110C2×D8—611no—
1111C2×D8—611no—
1112C2×M16—611no—
1113C2×M16C22×D6111yescharacteristic
1114C22×C8—611no—
1115C22×C8—611no—
1116C22×C8—611no—
1117C22×C8C22×D6111yescharacteristic
1118C4⋊Q8—611no—
1119C4⋊Q8—611no—
1120C4⋊Q8—611no—
1121C4⋊Q8—611no—
1122C4⋊Q8—1221no—
1123C4⋊Q8—1221no—
1124C4⋊Q8—1221no—
1125C4⋊Q8—1221no—
1126C4⋊Q8C22×D6111yescharacteristic
1127C4⋊Q8C22×D6111yescharacteristic
1128#127—611no—
1129#127—611no—
1130#127—1221no—
1131#126—611no—
1132#126—611no—
1133#126—1221no—
1134#126—1221no—
1135#126—1221no—
1136#126—1221no—
1137#126—1221no—
1138#126—1221no—
1139#126—1221no—
1140#126—1221no—
1141#126—1221no—
1142#126—1221no—
1143#126—1221no—
1144#126—1221no—
1145#126—1221no—
1146#125—611no—
1147#125—611no—
1148#125—1221no—
1149#125—1221no—
1150#125—1221no—
1151#124—611no—
1152#124—611no—
1153#124—611no—
1154#124—611no—
1155#124—611no—
1156#124—611no—
1157#124—1221no—
1158#124—1221no—
1159#124—1221no—
1160#124—1221no—
1161#124—1221no—
1162#124—1221no—
1163#124—1221no—
1164#124—1221no—
1165#124—1221no—
1166#124—1221no—
1167#124—1221no—
1168#124C22×D6111yescharacteristic
1169#124C22×D6111yescharacteristic
1170#123—21no—
1171#123—21no—
1172#123—611no—
1173#123—611no—
1174#123—1221no—
1175#123—1221no—
1176#123—1221no—
1177#123—1221no—
1178#123—1221no—
1179#123—1221no—
1180#123—1221no—
1181#123—1221no—
1182#123—1221no—
1183#123—1221no—
1184#123—1221no—
1185C22⋊Q8—21no—
1186C22⋊Q8—21no—
1187C22⋊Q8—611no—
1188C22⋊Q8—611no—
1189C22⋊Q8—611no—
1190C22⋊Q8—611no—
1191C22⋊Q8—611no—
1192C22⋊Q8—611no—
1193C22⋊Q8—611no—
1194C22⋊Q8—611no—
1195C22⋊Q8—1221no—
1196C22⋊Q8—1221no—
1197C22⋊Q8—1221no—
1198C22⋊Q8—1221no—
1199C22⋊Q8—1221no—
1200C22⋊Q8—1221no—
1201C22⋊Q8—1221no—
1202C22⋊Q8—1221no—
1203C22⋊Q8—1221no—
1204C22⋊Q8—1221no—
1205C22⋊Q8—1221no—
1206#121—611no—
1207#121—611no—
1208#121—611no—
1209#121—611no—
1210#121—611no—
1211#121—611no—
1212#121—1221no—
1213#121—1221no—
1214#121—1221no—
1215#121—1221no—
1216#121—1221no—
1217#121—1221no—
1218#121—1221no—
1219#121—1221no—
1220#121—1221no—
1221#121—1221no—
1222#121—1221no—
1223#121—1221no—
1224#121—1221no—
1225#121—1221no—
1226#121—1221no—
1227#121—1221no—
1228#120—1221no—
1229#120—1221no—
1230#120—1221no—
1231#120—1221no—
1232C4×Q8—21no—
1233C4×Q8—21no—
1234C4×Q8—611no—
1235C4×Q8—611no—
1236C4×Q8—611no—
1237C4×Q8—611no—
1238C4×Q8—611no—
1239C4×Q8—611no—
1240C4×Q8—611no—
1241C4×Q8—611no—
1242C4×Q8—1221no—
1243C4×Q8—1221no—
1244C4×Q8—1221no—
1245C4×Q8—1221no—
1246C4×Q8—1221no—
1247C4×Q8—1221no—
1248C4×Q8C22×D6111yescharacteristic
1249C4×Q8C22×D6111yescharacteristic
1250C4×Q8C22×D6111yescharacteristic
1251C4×Q8C22×D6111yescharacteristic
1252C4×D4—611no—
1253C4×D4—611no—
1254C4×D4—611no—
1255C4×D4—611no—
1256C4×D4—611no—
1257C4×D4—611no—
1258C4×D4—611no—
1259C4×D4—611no—
1260C4×D4—1221no—
1261C4×D4—1221no—
1262C4×D4—1221no—
1263C4×D4—1221no—
1264C4×D4—1221no—
1265C4×D4—1221no—
1266C4×D4—1221no—
1267C4×D4—1221no—
1268C4×D4—1221no—
1269C4×D4—1221no—
1270C4×D4—1221no—
1271C4×D4—1221no—
1272#117—21no—
1273#117—21no—
1274#117—611no—
1275#117—611no—
1276#117—611no—
1277#117—1221no—
1278#117—1221no—
1279#117—1221no—
1280#117—1221no—
1281#117—1221no—
1282#117—1221no—
1283#117—1221no—
1284#117—1221no—
1285#117C22×D6111yescharacteristic
1286#117C22×D6111yescharacteristic
1287C2×C4⋊C4—1221no—
1288C2×C22⋊C4—1221no—
1289C2×C22⋊C4—1221no—
1290C2×C42—611no—
1291C2×C42—1221no—
1292#107—611no—
1293#107—611no—
1294#107—611no—
1295#107—611no—
1296#106—611no—
1297#106—611no—
1298#106—611no—
1299#106—611no—
1300C4⋊C8—611no—
1301C4⋊C8—611no—
1302C4⋊C8—611no—
1303C4⋊C8—611no—
1304C4⋊C8—611no—
1305C4⋊C8—611no—
1306C4⋊C8C22×D6111yescharacteristic
1307C4⋊C8C22×D6111yescharacteristic
1308C4⋊C8C22×D6111yescharacteristic
1309C4⋊C8C22×D6111yescharacteristic
1310#103—611no—
1311#103—611no—
1312#103—611no—
1313#103—611no—
1314#103—611no—
1315#103—611no—
1316#103—611no—
1317#103—611no—
1318#103—611no—
1319#103—611no—
1320#103—611no—
1321#103—611no—
1322#103C22×D6111yescharacteristic
1323#103C22×D6111yescharacteristic
1324#103C22×D6111yescharacteristic
1325#103C22×D6111yescharacteristic
1326#103C22×D6111yescharacteristic
1327#103C22×D6111yescharacteristic
1328#102—611no—
1329#102—611no—
1330#102—611no—
1331#102—611no—
1332#102—611no—
1333#102—611no—
1334#102—611no—
1335#102—611no—
1336#102—611no—
1337#102—611no—
1338#102—611no—
1339#102—611no—
1340#102C22×D6111yescharacteristic
1341#102C22×D6111yescharacteristic
1342C22⋊C8—611no—
1343C22⋊C8—611no—
1344C22⋊C8—611no—
1345C22⋊C8—611no—
1346C22⋊C8—611no—
1347C22⋊C8—611no—
1348#97—611no—
1349#97—611no—
1350#97—611no—
1351#97—611no—
1352C4×C8—611no—
1353C4×C8—611no—
1354C24—1221no—
1355#41—41no—
1356#41—41no—
1357#41—1222no—
1358#41—2441no—
1359#41—2441no—
1360#41—2441no—
1361#41—2441no—
1362#41—2441no—
1363#41—2441no—
1364#41—2441no—
1365C2×Q8—21no—
1366C2×Q8—21no—
1367C2×Q8—22no—
1368C2×Q8—41no—
1369C2×Q8—41no—
1370C2×Q8—41no—
1371C2×Q8—611no—
1372C2×Q8—611no—
1373C2×Q8—1221no—
1374C2×Q8—1221no—
1375C2×Q8—1221no—
1376C2×Q8—1221no—
1377C2×Q8—1222no—
1378C2×Q8—2441no—
1379C2×Q8C23×D6111yescharacteristic
1380C2×Q8C23×D6111yescharacteristic
1381C2×Q8C23×D6111yescharacteristic
1382C2×Q8C23×D6111yescharacteristic
1383C2×Q8C23×D6111yescharacteristic
1384C2×D4—21no—
1385C2×D4—611no—
1386C2×D4—611no—
1387C2×D4—611no—
1388C2×D4—611no—
1389C2×D4—611no—
1390C2×D4—611no—
1391C2×D4—1221no—
1392C2×D4—1221no—
1393C2×D4—1221no—
1394C2×D4—1221no—
1395C2×D4—1221no—
1396C2×D4—1221no—
1397C2×D4—1221no—
1398C2×D4—1221no—
1399C2×D4—1221no—
1400C2×D4—1221no—
1401C2×D4—1221no—
1402C2×D4—1221no—
1403C2×D4—1221no—
1404C2×D4—1221no—
1405C2×D4—2441no—
1406C2×D4—2441no—
1407C2×D4C23×D6111yescharacteristic
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—611no—
1415C22×C4—1221no—
1416C22×C4—1221no—
1417C22×C4—1221no—
1418C22×C4—1221no—
1419C22×C4—1221no—
1420C22×C4—1221no—
1421C22×C4—1221no—
1422C22×C4—1221no—
1423C22×C4—1221no—
1424C22×C4—1221no—
1425C22×C4C23×D6111yescharacteristic
1426Q16—22no—
1427Q16—22no—
1428Q16—22no—
1429Q16—41no—
1430Q16—41no—
1431Q16—41no—
1432Q16—2441no—
1433Q16—2441no—
1434Q16—2441no—
1435SD16—22no—
1436SD16—41no—
1437SD16—1222no—
1438SD16—1222no—
1439SD16—2441no—
1440SD16—2441no—
1441SD16—2441no—
1442SD16—2441no—
1443SD16—2441no—
1444SD16—2441no—
1445SD16—2441no—
1446SD16—2441no—
1447D8—2441no—
1448D8—2441no—
1449D8—2441no—
1450M16—41no—
1451M16—2441no—
1452C2×C8—41no—
1453C2×C8—611no—
1454C2×C8—611no—
1455C2×C8—611no—
1456C2×C8—611no—
1457C2×C8—2441no—
1458C2×C8—2441no—
1459C2×C8—2441no—
1460C2×C8C23×D6111yescharacteristic
1461C2×C8C23×D6111yescharacteristic
1462C2×C8C23×D6111yescharacteristic
1463C2×C8C23×D6111yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—611no—
1473C4⋊C4—611no—
1474C4⋊C4—611no—
1475C4⋊C4—611no—
1476C4⋊C4—611no—
1477C4⋊C4—611no—
1478C4⋊C4—611no—
1479C4⋊C4—611no—
1480C4⋊C4—611no—
1481C4⋊C4—611no—
1482C4⋊C4—611no—
1483C4⋊C4—611no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4—1221no—
1493C4⋊C4—1221no—
1494C4⋊C4—1221no—
1495C4⋊C4—1221no—
1496C4⋊C4—1221no—
1497C4⋊C4—1221no—
1498C4⋊C4—1221no—
1499C4⋊C4—1221no—
1500C4⋊C4—1221no—
1501C4⋊C4—1221no—
1502C4⋊C4—1221no—
1503C4⋊C4—1221no—
1504C4⋊C4—1221no—
1505C4⋊C4D4×D6111yescharacteristic
1506C4⋊C4D4×D6111yescharacteristic
1507C4⋊C4C23×D6111yescharacteristic
1508C4⋊C4C23×D6111yescharacteristic
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—611no—
1515C22⋊C4—611no—
1516C22⋊C4—611no—
1517C22⋊C4—611no—
1518C22⋊C4—611no—
1519C22⋊C4—611no—
1520C22⋊C4—611no—
1521C22⋊C4—611no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4—1221no—
1537C22⋊C4—1221no—
1538C22⋊C4—1221no—
1539C22⋊C4—1221no—
1540C22⋊C4—1221no—
1541C22⋊C4—1221no—
1542C22⋊C4—1221no—
1543C22⋊C4—1221no—
1544C22⋊C4—1221no—
1545C22⋊C4—1221no—
1546C22⋊C4—1221no—
1547C22⋊C4—1221no—
1548C22⋊C4—1221no—
1549C22⋊C4—1221no—
1550C22⋊C4—1221no—
1551C22⋊C4D4×D6111yescharacteristic
1552C22⋊C4D4×D6111yescharacteristic
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—611no—
1559C42—611no—
1560C42—611no—
1561C42—611no—
1562C42—1221no—
1563C42—1221no—
1564C42—1221no—
1565C42—1221no—
1566C42—1221no—
1567C42—1221no—
1568C42—1221no—
1569C42—1221no—
1570C42—1221no—
1571C42C23×D6111yescharacteristic
1572C42C23×D6111yescharacteristic
1573C23—21no—
1574C23—611no—
1575C23—611no—
1576C23—1221no—
1577C23—1221no—
1578C23—1221no—
1579C23—4881no—
1580C23—4881no—
1581C23—4881no—
1582C23C2×D4×D6111yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—21no—
1592Q8—42no—
1593Q8—81no—
1594Q8—1221no—
1595Q8—1221no—
1596Q8—4881no—
1597Q8—4881no—
1598Q8—4881no—
1599Q8—2441no—
1600Q8—2442no—
1601Q8#1451982212yes—
1602D4—21no—
1603D4—21no—
1604D4—81no—
1605D4—1221no—
1606D4—1221no—
1607D4—1221no—
1608D4—1221no—
1609D4—1221no—
1610D4—1221no—
1611D4—4881no—
1612D4—4881no—
1613D4—4881no—
1614D4—4881no—
1615D4—4881no—
1616D4—4881no—
1617D4—4881no—
1618D4—4881no—
1619D4—4881no—
1620D4—4881no—
1621D4—4881no—
1622D4—4881no—
1623D4—4881no—
1624D4—2441no—
1625D4—2442no—
1626D4—2441no—
1627D4—2441no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—42no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—611no—
1641C2×C4—611no—
1642C2×C4—611no—
1643C2×C4—611no—
1644C2×C4—611no—
1645C2×C4—611no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—4881no—
1656C2×C4—4881no—
1657C2×C4—4881no—
1658C2×C4—4881no—
1659C2×C4—4881no—
1660C2×C4—4881no—
1661C2×C4—4881no—
1662C2×C4—2441no—
1663C2×C4—2441no—
1664C2×C4—2442no—
1665C2×C4—2442no—
1666C2×C4—2442no—
1667C2×C4C2×D4×D6111yescharacteristic
1668C2×C4C2×D4×D6111yescharacteristic
1669C2×C4C2×D4×D6111yescharacteristic
1670C2×C4C2×D4×D6111yescharacteristic
1671C2×C4C2×D4×D6111yescharacteristic
1672C2×C4C24×D6111yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—1221no—
1678C8—1221no—
1679C8—1221no—
1680C8—1221no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—1221no—
1688C22—1221no—
1689C22—1221no—
1690C22—1221no—
1691C22—1221no—
1692C22—1221no—
1693C22—9762no—
1694C22—2441no—
1695C22—2441no—
1696C22—2441no—
1697C22—2441no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22C22×D4×D6111yescharacteristic
1704C4—21no—
1705C4—22no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—1221no—
1717C4—1221no—
1718C4—1221no—
1719C4—1221no—
1720C4—1221no—
1721C4—1221no—
1722C4—2441no—
1723C4—2441no—
1724C4—2441no—
1725C4—2441no—
1726C4—2441no—
1727C4C2×#1451982211yescharacteristic
1728C4#1684059811yescharacteristic
1729C2—41no—
1730C2—81no—
1731C2—4881no—
1732C2—4881no—
1733C2—4881no—
1734C2—2441no—
1735C2—2441no—
1736C2#2145948411yescharacteristic
1737C2#2146058911yescharacteristic
1738C2#2146060411yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3044C2
socleC22×C61C23×D4
hypercenter#3044D61
hypocenterC61#62013
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3044

Complements

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

NH ≅ G/Ntype
1. #21460395C2semidirect
2. #21459830C2semidirect
3. #21458893C2semidirect
4. #21458889C2semidirect
5. #21458628C2semidirect
6. #21458563C2semidirect
7. #21458006C2semidirect
8. #21457971C2semidirect
9. #21457886C2semidirect
10. #21457862C2semidirect
11. #21457754C2semidirect
12. #21457739C2semidirect
13. #21457560C2semidirect
14. #21457521C2semidirect
15. #21457398C2semidirect
16. #21457389C2semidirect
17. #21457369C2semidirect
18. #21457323C2semidirect
19. #21457243C2semidirect
20. #21457232C2semidirect
21. #21457153C2semidirect
22. #21456928C2semidirect
23. #21456920C2semidirect
24. #21456829C2semidirect
25. #21456117C2semidirect
26. #21456110C2semidirect
27. #21455927C2semidirect
28. #21455338C2semidirect
29. #21455277C2semidirect
30. #21454956C2semidirect
31. C61×#3044C2semidirect
34. C2×#14519800C22semidirect
39. Q8×Dic122C22semidirect
44. #16840484C22semidirect
46. #16840480C22semidirect
56. #16840423C22semidirect
63. #16840383C22semidirect
72. #16840316C22semidirect
78. C4×#11758226C22semidirect
80. #16840155C22semidirect
81. #16840154C22semidirect
87. #16840123C22semidirect
89. #16840112C22semidirect
92. #16840102C22semidirect
95. #16840086C22semidirect
97. #16840070C22semidirect
98. #16840069C22semidirect
99. #16840069C22semidirect
100. #16840063C22semidirect
101. #16840055C22semidirect
103. #16840045C22semidirect
104. #16840045C22semidirect
105. #16840043C22semidirect
108. #16840015C22semidirect
111. #16840002C22semidirect
113. #16840000C22semidirect
116. #16839991C22semidirect
122. #16839986C22semidirect
123. #16839986C22semidirect
124. #16839986C22semidirect
127. #16839980C22semidirect
129. #16839978C22semidirect
131. #16839970C22semidirect
132. #16839969C22semidirect
134. #16839964C22semidirect
142. #16839927C22semidirect
146. #16839923C22semidirect
147. #16839923C22semidirect
148. #16839918C22semidirect
156. #16839901C22semidirect
157. #16839901C22semidirect
159. #16839891C22semidirect
160. #16839889C22semidirect
162. #16839869C22semidirect
163. #16839869C22semidirect
164. #16839866C22semidirect
165. #16839865C22semidirect
168. #16839860C22semidirect
169. Q16×Dic61C22semidirect
170. #16839854C22semidirect
172. C4×#11758201C22semidirect
176. #16839831C22semidirect
178. C8×C22⋊D61C22semidirect
179. #16839823C22semidirect
181. #16839818C22semidirect
183. C4⋊C8×D61C22semidirect
187. #16839757C22semidirect
189. C22×Q16×C61C22semidirect
191. C61×#519C22semidirect
196. C61×#462C22semidirect
197. C61×#462C22semidirect
198. C61×#462C22semidirect
199. C61×#462C22semidirect
200. C61×#424C22semidirect
201. C61×#419C22semidirect
887. #3044D61semidirect
905. C22×Q16C2×D61semidirect
950. #519C2×D61semidirect
1010. #462C2×D61semidirect
1011. #462C2×D61semidirect
1012. #462C2×D61semidirect
1013. #462C2×D61semidirect
1064. #424C2×D61semidirect
1066. #419C2×D61semidirect
1072. C61#62013semidirect

Maximal subgroups

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

subgroupindex
#214603952
#214598302
#214588932
#214588892
#214586282
#214585632
#214580062
#214579712
#214578862
#214578622
#214577542
#214577392
#214575602
#214575212
#214573982
#214573892
#214573692
#214573232
#214572432
#214572322
#214571532
#214569282
#214569202
#214568292
#214561172
#214561102
#214559272
#214553382
#214552772
#214549562
C61×#30442
#6201361