Finite Group Databasebeta

← #30575500

Subgroups — #30575500

Order 15616.

1840 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460337C211yesmaximal, characteristic, complemented
2#21459830C211yesmaximal, characteristic, complemented
3#21458889C211yesmaximal, characteristic, complemented
4#21458878C211yesmaximal, characteristic, complemented
5#21458637C211yesmaximal, characteristic, complemented
6#21458628C211yesmaximal, characteristic, complemented
7#21458053C211yesmaximal, characteristic, complemented
8#21458046C211yesmaximal, characteristic, complemented
9#21457976C211yesmaximal, characteristic, complemented
10#21457971C211yesmaximal, characteristic, complemented
11#21457892C211yesmaximal, characteristic, complemented
12#21457881C211yesmaximal, characteristic, complemented
13#21457471C211yesmaximal, characteristic, complemented
14#21457470C211yesmaximal, characteristic, complemented
15#21457329C211yesmaximal, characteristic, complemented
16#21457323C211yesmaximal, characteristic, complemented
17#21457314C211yesmaximal, characteristic, complemented
18#21457309C211yesmaximal, characteristic, complemented
19#21457280C211yesmaximal, characteristic, complemented
20#21457278C211yesmaximal, characteristic, complemented
21#21457204C211yesmaximal, characteristic, complemented
22#21456918C211yesmaximal, characteristic, complemented
23#21456913C211yesmaximal, characteristic, complemented
24#21456820C211yesmaximal, characteristic, complemented
25#21456048C211yesmaximal, characteristic, complemented
26#21456047C211yesmaximal, characteristic, complemented
27#21455969C211yesmaximal, characteristic, complemented
28#21455335C211yesmaximal, characteristic, complemented
29#21455310C211yesmaximal, characteristic, complemented
30#21454987C211yesmaximal, characteristic, complemented
31C61×#3043C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic, complemented
33C2×#14519806C2211yescharacteristic, complemented
34C2×#14519804C2211yescharacteristic
35C2×SD16×D61C2211yescharacteristic, complemented
36#16840507—21no—
37#16840505—21no—
38#16840498C2211yescharacteristic
39#16840494C2211yescharacteristic
40Q8×Dic122C2211yescharacteristic, complemented
41#16840485—21no—
42#16840485C2211yescharacteristic, complemented
43#16840484—21no—
44#16840484C2211yescharacteristic, complemented
45#16840480—21no—
46#16840480C2211yescharacteristic, complemented
47#16840475—21no—
48#16840475C2211yescharacteristic, complemented
49Q8×C22⋊D61C2211yescharacteristic, complemented
50#16840424C2211yescharacteristic, complemented
51#16840423C2211yescharacteristic, complemented
52#16840420C2211yescharacteristic
53#16840419C2211yescharacteristic
54#16840406C2211yescharacteristic
55#16840401—21no—
56#16840400C2211yescharacteristic
57#16840399—21no—
58#16840397C2211yescharacteristic
59D4×C22⋊D61C2211yescharacteristic
60#16840384—21no—
61#16840384C2211yescharacteristic, complemented
62#16840383—21no—
63#16840383C2211yescharacteristic
64#16840383C2211yescharacteristic, complemented
65#16840381C2211yescharacteristic
66#16840349—21no—
67#16840347—21no—
68#16840344—21no—
69#16840325C2211yescharacteristic
70#16840322—21no—
71#16840316—21no—
72#16840316C2211yescharacteristic, complemented
73#16840310C2211yescharacteristic
74#16840290—21no—
75#16840290C2211yescharacteristic
76#124×D61C2211yescharacteristic
77#16840238C2211yescharacteristic, complemented
78C4×#11758226C2211yescharacteristic, complemented
79#16840155C2211yescharacteristic, complemented
80#16840153C2211yescharacteristic, complemented
81#16840149C2211yescharacteristic
82#16840148C2211yescharacteristic
83#16840144C2211yescharacteristic, complemented
84#16840143C2211yescharacteristic, complemented
85#16840123C2211yescharacteristic, complemented
86#16840121C2211yescharacteristic, complemented
87#16840120C2211yescharacteristic, complemented
88#16840120C2211yescharacteristic, complemented
89#16840108C2211yescharacteristic
90#16840107C2211yescharacteristic
91#16840103C2211yescharacteristic, complemented
92#16840102C2211yescharacteristic, complemented
93#16840086C2211yescharacteristic
94#16840084C2211yescharacteristic
95#16840084C2211yescharacteristic, complemented
96#16840084C2211yescharacteristic, complemented
97#16840058C2211yescharacteristic, complemented
98#16840058C2211yescharacteristic, complemented
99#16840057C2211yescharacteristic, complemented
100#16840055C2211yescharacteristic, complemented
101#16840047C2211yescharacteristic, complemented
102#16840043C2211yescharacteristic, complemented
103#16840043C2211yescharacteristic, complemented
104#16840040C2211yescharacteristic, complemented
105#16840040C2211yescharacteristic, complemented
106#16840040C2211yescharacteristic, complemented
107#16840011C2211yescharacteristic, complemented
108#16840008C2211yescharacteristic
109#16840008C2211yescharacteristic, complemented
110#16840007C2211yescharacteristic, complemented
111#16840007C2211yescharacteristic, complemented
112#16840005C2211yescharacteristic
113#16840005C2211yescharacteristic, complemented
114#16840005C2211yescharacteristic, complemented
115#16840003C2211yescharacteristic, complemented
116#16840000C2211yescharacteristic, complemented
117#16839998C2211yescharacteristic
118#16839997C2211yescharacteristic
119#16839986C2211yescharacteristic, complemented
120#16839986C2211yescharacteristic, complemented
121#16839985C2211yescharacteristic, complemented
122#16839985C2211yescharacteristic, complemented
123#16839984C2211yescharacteristic, complemented
124#16839984C2211yescharacteristic, complemented
125#16839983C2211yescharacteristic, complemented
126#16839982C2211yescharacteristic, complemented
127#16839982C2211yescharacteristic, complemented
128#16839981C2211yescharacteristic, complemented
129#16839980C2211yescharacteristic, complemented
130#16839979C2211yescharacteristic, complemented
131#16839978C2211yescharacteristic, complemented
132#16839978C2211yescharacteristic, complemented
133#16839976C2211yescharacteristic, complemented
134#16839974C2211yescharacteristic, complemented
135#16839965C2211yescharacteristic, complemented
136#16839965C2211yescharacteristic, complemented
137#16839961C2211yescharacteristic
138#16839960C2211yescharacteristic
139#16839959C2211yescharacteristic, complemented
140#16839954C2211yescharacteristic, complemented
141#16839924C2211yescharacteristic, complemented
142#16839921C2211yescharacteristic, complemented
143#16839919C2211yescharacteristic, complemented
144#16839918C2211yescharacteristic, complemented
145#16839916C2211yescharacteristic, complemented
146#16839916C2211yescharacteristic, complemented
147#16839914C2211yescharacteristic
148#16839913C2211yescharacteristic, complemented
149#16839911C2211yescharacteristic
150#16839911C2211yescharacteristic, complemented
151#16839908C2211yescharacteristic, complemented
152#16839907C2211yescharacteristic, complemented
153#16839906C2211yescharacteristic, complemented
154#16839906C2211yescharacteristic, complemented
155#16839901C2211yescharacteristic
156#16839899C2211yescharacteristic
157#16839897C2211yescharacteristic, complemented
158#16839896C2211yescharacteristic, complemented
159#16839891C2211yescharacteristic, complemented
160#16839889C2211yescharacteristic, complemented
161#16839871C2211yescharacteristic, complemented
162#16839871C2211yescharacteristic, complemented
163#16839867C2211yescharacteristic, complemented
164#16839866C2211yescharacteristic, complemented
165#16839863C2211yescharacteristic, complemented
166#16839863C2211yescharacteristic, complemented
167#16839863C2211yescharacteristic, complemented
168#16839860C2211yescharacteristic, complemented
169Q16×Dic61C2211yescharacteristic, complemented
170C4×#11758202C2211yescharacteristic, complemented
171#16839853C2211yescharacteristic, complemented
172C4×#11758201C2211yescharacteristic, complemented
173#16839839C2211yescharacteristic, complemented
174#16839838C2211yescharacteristic, complemented
175#16839833C2211yescharacteristic, complemented
176#16839833C2211yescharacteristic, complemented
177#16839832C2211yescharacteristic, complemented
178#16839831C2211yescharacteristic, complemented
179#16839823C2211yescharacteristic, complemented
180#16839822C2211yescharacteristic, complemented
181#16839818C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic, complemented
183#16839784C2211yescharacteristic, complemented
184#16839769C2211yescharacteristic, complemented
185#16839765C2211yescharacteristic
186#16839765C2211yescharacteristic, complemented
187#16839755C2211yescharacteristic, complemented
188C2×#137×C61C2211yescharacteristic, complemented
189C22×SD16×C61C2211yescharacteristic, complemented
190C61×#535C2211yescharacteristic
191C61×#519C2211yescharacteristic, complemented
192C61×#464C2211yescharacteristic, complemented
193C61×#464C2211yescharacteristic, complemented
194C61×#464C2211yescharacteristic, complemented
195C61×#464C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic
197C61×#460C2211yescharacteristic
198C61×#460C2211yescharacteristic, complemented
199C61×#460C2211yescharacteristic, complemented
200C61×#424C2211yescharacteristic, complemented
201C61×#418C2211yescharacteristic, complemented
202C61×#416C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758224—21no—
205C2×#11758224C2311yescharacteristic
206C2×Q8×D61C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C22×C22⋊D61—21no—
209C2×D4×D61—21no—
210C2×D4×D61C2311yescharacteristic
211C2×D4×D61C2311yescharacteristic
212#14519809—42no—
213#14519806—42no—
214#14519804—42no—
215C2×Dic244C2311yescharacteristic
216C2×#11758202C2311yescharacteristic
217C2×#11758202C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758190C2311yescharacteristic
220C2×#11758190C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758201C2311yescharacteristic
225C2×#11758201C2311yescharacteristic
226C2×#11758201C2311yescharacteristic
227SD16×D61—42no—
228C2×D488C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230C2×#11758199C2311yescharacteristic
231C2×#11758199C2311yescharacteristic
232C2×#11758189C2311yescharacteristic
233C2×#11758189C2311yescharacteristic
234C2×#11758189C2311yescharacteristic
235C2×C8×D61C2311yescharacteristic
236#14519777—21no—
237#14519777C2311yescharacteristic
238#14519777C2311yescharacteristic
239#14519776—21no—
240#14519776—21no—
241#14519776C2311yescharacteristic
242#14519776C2311yescharacteristic
243#14519775—21no—
244#14519775C2311yescharacteristic
245#14519773C2311yescharacteristic
246#14519772—21no—
247#14519772—21no—
248#14519772—21no—
249#14519772—21no—
250#14519772—21no—
251#14519772D411yescharacteristic
252#14519771—21no—
253#14519771—21no—
254#14519771—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770D411yescharacteristic
258#14519767—21no—
259#14519767D411yescharacteristic
260#14519766—21no—
261#14519766C2311yescharacteristic
262#14519766C2311yescharacteristic
263#14519765—21no—
264#14519765—21no—
265#14519765—21no—
266#14519765—21no—
267#14519765C2311yescharacteristic
268#14519765C2311yescharacteristic
269#14519764—21no—
270#14519764—21no—
271#14519764—21no—
272#14519764C2311yescharacteristic
273#14519764C2311yescharacteristic
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519763—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763D411yescharacteristic
284#14519762—21no—
285#14519762D411yescharacteristic
286#14519761—21no—
287#14519761—21no—
288#14519760—21no—
289#14519759—21no—
290#14519759—21no—
291#14519759—21no—
292#14519759D411yescharacteristic
293#14519758—21no—
294#14519758—21no—
295#14519758—21no—
296#14519757—21no—
297#14519757C2311yescharacteristic
298#14519756—21no—
299#14519756—21no—
300#14519756C2311yescharacteristic
301#14519756C2311yescharacteristic
302#14519755—21no—
303#14519755—21no—
304#14519755—21no—
305#14519755—21no—
306#14519755—21no—
307#14519755D411yescharacteristic
308#14519754—21no—
309#14519754—21no—
310#14519753—21no—
311#14519753—21no—
312#14519753C2311yescharacteristic
313#14519753C2311yescharacteristic
314#14519753C2311yescharacteristic
315#14519752—21no—
316#14519752C2311yescharacteristic
317#14519751—21no—
318#14519751C2311yescharacteristic
319#14519751C2311yescharacteristic
320#14519750—21no—
321#14519750—21no—
322#14519750D411yescharacteristic
323#14519749—21no—
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519749—21no—
328#14519748—21no—
329#14519748—21no—
330#14519748—21no—
331#14519748C2311yescharacteristic
332#14519748C2311yescharacteristic
333#14519748C2311yescharacteristic
334#14519746—21no—
335#14519746—21no—
336#14519745—21no—
337#14519745—21no—
338#14519745—21no—
339#14519745—21no—
340#14519745—21no—
341#14519745—21no—
342Q8×Dic61C2311yescharacteristic
343Q8×Dic61C2311yescharacteristic
344Q8×Dic61C2311yescharacteristic
345C4×Dic122—21no—
346C4×Dic122—21no—
347C4×Dic122—21no—
348C4×Dic122—21no—
349C4×Dic122—21no—
350C4×Dic122C2311yescharacteristic
351C4×Dic122C2311yescharacteristic
352C4×Dic122C2311yescharacteristic
353#14519742—21no—
354#14519742C2311yescharacteristic
355C4×D244—21no—
356C4×D244—21no—
357C4×D244C2311yescharacteristic
358C4×D244C2311yescharacteristic
359C4×D244C2311yescharacteristic
360D4×Dic61—21no—
361D4×Dic61—21no—
362D4×Dic61C2311yescharacteristic
363D4×Dic61C2311yescharacteristic
364D4×Dic61C2311yescharacteristic
365#14519739—21no—
366#14519739C2311yescharacteristic
367C4×C22⋊D61—21no—
368C4×C22⋊D61—21no—
369C4×C22⋊D61—21no—
370C4×C22⋊D61C2311yescharacteristic
371C4×C22⋊D61C2311yescharacteristic
372#14519737—21no—
373#14519737—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
383C2×C22⋊Dic61—21no—
384C2×#11758198—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C42×D61—21no—
388C42×D61C2311yescharacteristic
389#14519711C2311yescharacteristic
390#14519711C2311yescharacteristic
391#14519711C2311yescharacteristic
392#14519711C2311yescharacteristic
393#14519710C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
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×D4×C61C2311yescharacteristic
442#137×C61—42no—
443C2×Q16×C61C2311yescharacteristic
444C2×Q16×C61C2311yescharacteristic
445C2×SD16×C61—42no—
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×SD16×C61C2311yescharacteristic
450C2×SD16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×M16×C61C2311yescharacteristic
453C22×C8×C61C2311yescharacteristic
454#127×C61C2311yescharacteristic
455#127×C61C2311yescharacteristic
456#124×C61C2311yescharacteristic
457#124×C61C2311yescharacteristic
458#121×C61—21no—
459#121×C61—21no—
460#120×C61—21no—
461#120×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#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C24×C61—21no—
485C23×D61—21no—
486C23×D61—21no—
487#41×C61—41no—
488#41×C61—41no—
489C2×Q8×C61—21no—
490C2×Q8×C61—22no—
491C2×Q8×C61—41no—
492C2×Q8×C61C2411yescharacteristic
493C2×Q8×C61C2411yescharacteristic
494C2×Q8×C61C2411yescharacteristic
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—21no—
501C2×D4×C61—41no—
502C2×D4×C61—41no—
503C2×D4×C61C2411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61C2411yescharacteristic
509C2×C22⋊D61—21no—
510C2×C22⋊D61—21no—
511C2×C22⋊D61—21no—
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—82no—
520C2×C22⋊D61C2×D411yescharacteristic
521C2×C22⋊D61C2×D411yescharacteristic
522C22×Dic61—21no—
523C22×Dic61—21no—
524C22×Dic61—21no—
525C22×Dic61—21no—
526#11758226—22no—
527#11758226—41no—
528Q8×D61—22no—
529Q8×D61—41no—
530Q8×D61—41no—
531Q8×D61—41no—
532#11758224—41no—
533#11758224—41no—
534#11758224—82no—
535D4×D61—41no—
536D4×D61—41no—
537D4×D61—41no—
538D4×D61—41no—
539D4×D61—82no—
540C2×D244—21no—
541C2×D244—21no—
542C2×D244C2×D411yescharacteristic
543C2×D244C2411yescharacteristic
544C2×D244C2411yescharacteristic
545C2×C4×D61—21no—
546C2×C4×D61—21no—
547C2×C4×D61—21no—
548C2×C4×D61—21no—
549C2×C4×D61—21no—
550C2×C4×D61—21no—
551C2×C4×D61C2×D411yescharacteristic
552C2×C4×D61C2×D411yescharacteristic
553C2×C4×D61C2411yescharacteristic
554C2×C4×D61C2411yescharacteristic
555C2×Dic122—21no—
556C2×Dic122—21no—
557C2×Dic122—21no—
558C2×Dic122—21no—
559C2×Dic122—21no—
560C2×Dic122—21no—
561C2×Dic122C2×D411yescharacteristic
562C2×Dic122C2411yescharacteristic
563C2×Dic122C2411yescharacteristic
564Q16×C61—22no—
565Q16×C61—41no—
566SD16×C61—22no—
567SD16×C61—22no—
568SD16×C61—22no—
569SD16×C61—41no—
570SD16×C61—41no—
571SD16×C61—41no—
572M16×C61—41no—
573C2×C8×C61—41no—
574C2×C8×C61C2411yescharacteristic
575C2×C8×C61C2411yescharacteristic
576C2×C8×C61C2411yescharacteristic
577C2×C8×C61C2411yescharacteristic
578C4⋊C4×C61—21no—
579C4⋊C4×C61—21no—
580C4⋊C4×C61—21no—
581C4⋊C4×C61—21no—
582C4⋊C4×C61C2×D411yescharacteristic
583C4⋊C4×C61C2×D411yescharacteristic
584C4⋊C4×C61C2411yescharacteristic
585C4⋊C4×C61C2411yescharacteristic
586C22⋊C4×C61—21no—
587C22⋊C4×C61—21no—
588C22⋊C4×C61—21no—
589C22⋊C4×C61—21no—
590C22⋊C4×C61—21no—
591C22⋊C4×C61C2×D411yescharacteristic
592C22⋊C4×C61C2×D411yescharacteristic
593C42×C61—21no—
594C42×C61—21no—
595C42×C61—21no—
596C42×C61—21no—
597C42×C61—21no—
598C42×C61C2411yescharacteristic
599C42×C61C2411yescharacteristic
600C22⋊Dic61—21no—
601C22⋊Dic61—21no—
602C22⋊Dic61—21no—
603C22⋊Dic61—21no—
604C22⋊Dic61—21no—
605C22⋊Dic61—21no—
606C22⋊Dic61—21no—
607C22⋊Dic61—21no—
608C22⋊Dic61—21no—
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61C2×D411yescharacteristic
613C22⋊Dic61C2×D411yescharacteristic
614#11758202—22no—
615#11758202—41no—
616#11758202—41no—
617#11758201—22no—
618#11758201—41no—
619#11758201—41no—
620#11758200—41no—
621#11758200—41no—
622#11758200—41no—
623#11758199—41no—
624#11758199—41no—
625#11758199—41no—
626#11758198—21no—
627#11758198—21no—
628#11758198—21no—
629#11758198—21no—
630#11758198—21no—
631#11758198—21no—
632#11758198—21no—
633#11758198—21no—
634#11758198—21no—
635#11758198—21no—
636#11758198—21no—
637#11758198—21no—
638#11758198—21no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198C2×D411yescharacteristic
647#11758198C2×D411yescharacteristic
648#11758198C2×D411yescharacteristic
649#11758198C2×D411yescharacteristic
650#11758198C2×D411yescharacteristic
651#11758198C2×D411yescharacteristic
652C4⋊Dic61—21no—
653C4⋊Dic61—21no—
654C4⋊Dic61—21no—
655C4⋊Dic61—21no—
656C4⋊Dic61—21no—
657C4⋊Dic61—21no—
658C4⋊Dic61C2×D411yescharacteristic
659C4⋊Dic61C2×D411yescharacteristic
660C4⋊Dic61C2411yescharacteristic
661C4⋊Dic61C2411yescharacteristic
662C4⋊Dic61C2411yescharacteristic
663C4⋊Dic61C2411yescharacteristic
664#11758196—21no—
665#11758196—21no—
666#11758196—21no—
667#11758196—21no—
668#11758196—21no—
669#11758196—21no—
670#11758196—21no—
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196C2×D411yescharacteristic
677#11758196C2×D411yescharacteristic
678#11758196C2×D411yescharacteristic
679#11758196C2×D411yescharacteristic
680#11758196C2×D411yescharacteristic
681#11758196C2×D411yescharacteristic
682C4×Dic61—21no—
683C4×Dic61—21no—
684C4×Dic61—21no—
685C4×Dic61—21no—
686C4×Dic61—21no—
687C4×Dic61—21no—
688C4×Dic61—21no—
689C4×Dic61—21no—
690C4×Dic61C2×D411yescharacteristic
691C4×Dic61C2×D411yescharacteristic
692C4×Dic61C2411yescharacteristic
693C4×Dic61C2411yescharacteristic
694C2×#92418C2411yescharacteristic
695C2×#92418C2411yescharacteristic
696C2×#92418C2411yescharacteristic
697C2×#92418C2411yescharacteristic
698Dic244—41no—
699D488—41no—
700#11758190—41no—
701#11758190—41no—
702#11758189—41no—
703#11758189—41no—
704#11758189—41no—
705C8×D61—41no—
706C23×C61—21no—
707C23×C61—21no—
708C23×C61—21no—
709C23×C61—81no—
710C23×C61—81no—
711C23×C61—81no—
712C23×C61C22×D411yescharacteristic
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—42no—
716C22×D61—81no—
717C22×D61—81no—
718C22×D61—81no—
719C22×D61—81no—
720C22×D61—81no—
721C22×D61C22×D411yescharacteristic
722C22×D61C22×D411yescharacteristic
723Q8×C61—21no—
724Q8×C61—21no—
725Q8×C61—21no—
726Q8×C61—21no—
727Q8×C61—21no—
728Q8×C61—42no—
729Q8×C61H(5,𝔽2)12yes—
730D4×C61—21no—
731D4×C61—21no—
732D4×C61—21no—
733D4×C61—21no—
734D4×C61—21no—
735D4×C61—21no—
736D4×C61—81no—
737D4×C61—81no—
738D4×C61—81no—
739D4×C61—81no—
740D4×C61—81no—
741D4×C61—81no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—42no—
750C2×C4×C61—81no—
751C2×C4×C61C22×D411yescharacteristic
752C2×C4×C61C22×D411yescharacteristic
753C2×C4×C61C22×D411yescharacteristic
754C2×C4×C61C22×D411yescharacteristic
755C2×C4×C61C22×D411yescharacteristic
756C2×C4×C61C2511yescharacteristic
757C22⋊D61—41no—
758C22⋊D61—41no—
759C22⋊D61—42no—
760C22⋊D61—42no—
761C22⋊D61—81no—
762C22⋊D61—81no—
763C22⋊D61—81no—
764C22⋊D61—81no—
765C22⋊D61—81no—
766C22⋊D61—81no—
767C22⋊D61—81no—
768C22⋊D61—81no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—81no—
776C2×Dic61—81no—
777C2×Dic61—81no—
778C2×Dic61—81no—
779C2×Dic61C22×D411yescharacteristic
780C2×Dic61C22×D411yescharacteristic
781C2×Dic61C22×D411yescharacteristic
782C2×Dic61C22×D411yescharacteristic
783C2×Dic61C22×D411yescharacteristic
784C2×Dic61C22×D411yescharacteristic
785D244—21no—
786D244—21no—
787D244—21no—
788D244—21no—
789D244—41no—
790D244—42no—
791D244—81no—
792C4×D61—21no—
793C4×D61—21no—
794C4×D61—21no—
795C4×D61—21no—
796C4×D61—41no—
797C4×D61—41no—
798C4×D61—42no—
799C4×D61—42no—
800C4×D61—42no—
801C4×D61—81no—
802C4×D61—81no—
803C4×D61—81no—
804Dic122—21no—
805Dic122—21no—
806Dic122—21no—
807Dic122—21no—
808Dic122—41no—
809Dic122—42no—
810Dic122—81no—
811Dic122—81no—
812Dic122—81no—
813Dic122—81no—
814Dic122—81no—
815C8×C61—21no—
816C8×C61—21no—
817C8×C61—21no—
818C8×C61—21no—
819#92418—21no—
820#92418—21no—
821#92418—21no—
822#92418—21no—
823#62092—611nomaximal, Sylow
824C22×C61—21no—
825C22×C61—21no—
826C22×C61—21no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—162no—
837C22×C61C23×D411yescharacteristic
838C2×D61—21no—
839C2×D61—21no—
840C2×D61—21no—
841C2×D61—21no—
842C2×D61—21no—
843C2×D61—21no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—162no—
851C2×D61—162no—
852C4×C61—21no—
853C4×C61—21no—
854C4×C61—21no—
855C4×C61—21no—
856C4×C61—22no—
857C4×C61—21no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61—41no—
861C4×C61—41no—
862C4×C61C2×H(5,𝔽2)11yescharacteristic
863C4×C61#58511yescharacteristic
864Dic61—21no—
865Dic61—21no—
866Dic61—21no—
867Dic61—21no—
868Dic61—21no—
869Dic61—21no—
870Dic61—41no—
871Dic61—41no—
872Dic61—41no—
873Dic61—41no—
874Dic61—41no—
875Dic61—41no—
876#3558—611no—
877#3518—611no—
878#3401—611no—
879#3401—611no—
880#3375—611no—
881#3375—611no—
882#3324—611no—
883#3324—611no—
884#3319—611no—
885#3319—611no—
886#3313—611no—
887#3313—611no—
888#3277—611no—
889#3277—611no—
890#3266—611no—
891#3266—611no—
892#3265—611no—
893#3265—611no—
894#3262—611no—
895#3262—611no—
896#3254—611no—
897#3224—611no—
898#3224—611no—
899#3215—611no—
900#3121—611no—
901#3121—611no—
902#3115—611no—
903#3043—611no—
904#3043D6111yescharacteristic, complemented
905#3040—611no—
906#2995—611no—
907C2×C61—41no—
908C2×C61—81no—
909C2×C61—81no—
910C2×C61—81no—
911C2×C61#348811yescharacteristic
912C2×C61#358511yescharacteristic
913C2×C61#358611yescharacteristic
914D61—41no—
915D61—41no—
916D61—81no—
917D61—81no—
918C2×#137—611no—
919C2×#137—611no—
920C2×#137C2×D6111yescharacteristic, complemented
921C2×AGL(1,ℤ/8)—611no—
922C22×SD16—611no—
923C22×SD16C2×D6111yescharacteristic, complemented
924#562—1221no—
925H(3,𝔽4)—1221no—
926#559—611no—
927#559—611no—
928Q82—611no—
929#556—611no—
930#556—611no—
931#556—611no—
932#556—1221no—
933#556—1221no—
934#556—1221no—
935#555—611no—
936#555—1221no—
937D4×Q8—611no—
938#548—611no—
939#548—611no—
940#548—611no—
941#548—611no—
942#546—611no—
943#546—611no—
944#546—1221no—
945#546—1221no—
946D42—611no—
947D42—611no—
948#542—611no—
949#542—611no—
950#542—611no—
951#542—611no—
952#542—1221no—
953#542—1221no—
954#538—1221no—
955#538—1221no—
956#538—1221no—
957#535—611no—
958#535C2×D6111yescharacteristic
959#534—1221no—
960#533—611no—
961#533—1221no—
962#532—611no—
963#529—611no—
964#529—1221no—
965C2×#124—611no—
966#519—611no—
967#519C2×D6111yescharacteristic, complemented
968C4×#41—611no—
969#497—611no—
970#497—611no—
971#496—611no—
972#496—611no—
973#495—611no—
974#495—611no—
975#489—611no—
976#489—611no—
977#489—611no—
978#489—611no—
979#486—611no—
980#486—611no—
981#485—611no—
982#485—611no—
983#482—611no—
984#482—611no—
985#482—611no—
986#482—611no—
987#477—611no—
988#477—611no—
989#477—611no—
990#477—611no—
991#475—611no—
992#474—611no—
993#474—611no—
994#474—611no—
995#474—611no—
996#474—611no—
997#468—611no—
998#468—611no—
999#468—611no—
1000#468—611no—
1001#468—611no—
1002#468—611no—
1003#468—611no—
1004#468—611no—
1005#467—611no—
1006#467—611no—
1007#466—611no—
1008#466—611no—
1009#464—611no—
1010#464—611no—
1011#464—611no—
1012#464—611no—
1013#464—611no—
1014#464—611no—
1015#464—611no—
1016#464—611no—
1017#464—611no—
1018#464—611no—
1019#464C2×D6111yescharacteristic, complemented
1020#464C2×D6111yescharacteristic, complemented
1021#464C2×D6111yescharacteristic, complemented
1022#464C2×D6111yescharacteristic, complemented
1023#463—611no—
1024#463—611no—
1025#463—611no—
1026#463—611no—
1027#463—611no—
1028#463—611no—
1029#461—611no—
1030#461—611no—
1031#460—611no—
1032#460—611no—
1033#460—611no—
1034#460C2×D6111yescharacteristic
1035#460C2×D6111yescharacteristic
1036#460C2×D6111yescharacteristic, complemented
1037#460C2×D6111yescharacteristic, complemented
1038#459—611no—
1039#452—611no—
1040#452—611no—
1041#451—611no—
1042#451—611no—
1043#451—611no—
1044#451—611no—
1045#450—611no—
1046#450—611no—
1047#450—611no—
1048#450—611no—
1049#449—611no—
1050#449—611no—
1051#449—611no—
1052#449—611no—
1053#448—611no—
1054#448—611no—
1055#447—611no—
1056#447—611no—
1057#446—611no—
1058#446—611no—
1059#442—611no—
1060#442—611no—
1061#441—611no—
1062#441—611no—
1063#440—611no—
1064#440—611no—
1065#440—611no—
1066#440—611no—
1067C4×Q16—611no—
1068C4×Q16—611no—
1069C4×SD16—611no—
1070C4×SD16—611no—
1071#436—611no—
1072#436—611no—
1073#435—611no—
1074#435—611no—
1075#435—611no—
1076#435—611no—
1077#433—611no—
1078#433—611no—
1079#432—611no—
1080#424—611no—
1081#424C2×D6111yescharacteristic, complemented
1082#423—611no—
1083#419—611no—
1084#418—611no—
1085#418—611no—
1086#418C2×D6111yescharacteristic, complemented
1087#416—611no—
1088#416C2×D6111yescharacteristic, complemented
1089C61#6209211yescharacteristic, complemented, Sylow
1090C2×#41—611no—
1091C2×#41—611no—
1092C2×#41—1221no—
1093C2×#41C22×D6111yescharacteristic
1094C22×Q8—611no—
1095C22×Q8—611no—
1096C22×Q8C22×D6111yescharacteristic
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—1221no—
1100C22×D4—1221no—
1101C22×D4C22×D6111yescharacteristic
1102#137—42no—
1103#137—2442no—
1104#137—2442no—
1105AGL(1,ℤ/8)—2442no—
1106C2×Q16—611no—
1107C2×Q16—611no—
1108C2×Q16—611no—
1109C2×Q16—611no—
1110C2×Q16C22×D6111yescharacteristic
1111C2×Q16C22×D6111yescharacteristic
1112C2×SD16—42no—
1113C2×SD16—611no—
1114C2×SD16—611no—
1115C2×SD16—611no—
1116C2×SD16—611no—
1117C2×SD16—611no—
1118C2×SD16—611no—
1119C2×SD16—611no—
1120C2×SD16—611no—
1121C2×SD16—2442no—
1122C2×SD16C22×D6111yescharacteristic
1123C2×SD16C22×D6111yescharacteristic
1124C2×SD16C22×D6111yescharacteristic
1125C2×SD16C22×D6111yescharacteristic
1126C2×SD16C22×D6111yescharacteristic
1127C2×SD16C22×D6111yescharacteristic
1128C2×D8—611no—
1129C2×D8—611no—
1130C2×D8—611no—
1131C2×D8—611no—
1132C2×M16—611no—
1133C2×M16—611no—
1134C2×M16—611no—
1135C2×M16C22×D6111yescharacteristic
1136C22×C8—611no—
1137C22×C8C22×D6111yescharacteristic
1138C4⋊Q8—611no—
1139C4⋊Q8—611no—
1140C4⋊Q8—611no—
1141C4⋊Q8—611no—
1142C4⋊Q8—611no—
1143C4⋊Q8—1221no—
1144C4⋊Q8—1221no—
1145C4⋊Q8—1221no—
1146C4⋊Q8—1221no—
1147#127—611no—
1148#127C22×D6111yescharacteristic
1149#127C22×D6111yescharacteristic
1150#126—611no—
1151#126—611no—
1152#126—1221no—
1153#126—1221no—
1154#126—1221no—
1155#126—1221no—
1156#126—1221no—
1157#126—1221no—
1158#126—1221no—
1159#126—1221no—
1160#126—1221no—
1161#126—1221no—
1162#125—611no—
1163#125—1221no—
1164#124—611no—
1165#124—611no—
1166#124—611no—
1167#124—611no—
1168#124—611no—
1169#124—611no—
1170#124—611no—
1171#124—1221no—
1172#124—1221no—
1173#124—1221no—
1174#124—1221no—
1175#124—1221no—
1176#124—1221no—
1177#124—1221no—
1178#124—1221no—
1179#124—1221no—
1180#124—1221no—
1181#124—1221no—
1182#124—1221no—
1183#124—1221no—
1184#124—1221no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124C22×D6111yescharacteristic
1189#124C22×D6111yescharacteristic
1190#123—611no—
1191#123—611no—
1192#123—1221no—
1193#123—1221no—
1194#123—1221no—
1195#123—1221no—
1196#123—1221no—
1197#123—1221no—
1198#123—1221no—
1199#123—1221no—
1200#123—1221no—
1201#123—1221no—
1202C22⋊Q8—611no—
1203C22⋊Q8—611no—
1204C22⋊Q8—611no—
1205C22⋊Q8—611no—
1206C22⋊Q8—611no—
1207C22⋊Q8—611no—
1208C22⋊Q8—611no—
1209C22⋊Q8—1221no—
1210C22⋊Q8—1221no—
1211C22⋊Q8—1221no—
1212C22⋊Q8—1221no—
1213C22⋊Q8—1221no—
1214C22⋊Q8—1221no—
1215C22⋊Q8—1221no—
1216C22⋊Q8—1221no—
1217C22⋊Q8—1221no—
1218C22⋊Q8—1221no—
1219C22⋊Q8—1221no—
1220C22⋊Q8—1221no—
1221#121—21no—
1222#121—21no—
1223#121—611no—
1224#121—611no—
1225#121—611no—
1226#121—611no—
1227#121—611no—
1228#121—611no—
1229#121—611no—
1230#121—1221no—
1231#121—1221no—
1232#121—1221no—
1233#121—1221no—
1234#121—1221no—
1235#121—1221no—
1236#121—1221no—
1237#121—1221no—
1238#121—1221no—
1239#121—1221no—
1240#121—1221no—
1241#121—1221no—
1242#120—21no—
1243#120—21no—
1244#120—1221no—
1245#120—1221no—
1246#120—1221no—
1247#120—1221no—
1248#120—1221no—
1249#120—1221no—
1250#120—1221no—
1251#120—1221no—
1252C4×Q8—21no—
1253C4×Q8—21no—
1254C4×Q8—611no—
1255C4×Q8—611no—
1256C4×Q8—611no—
1257C4×Q8—611no—
1258C4×Q8—611no—
1259C4×Q8—611no—
1260C4×Q8—611no—
1261C4×Q8—1221no—
1262C4×Q8—1221no—
1263C4×Q8—1221no—
1264C4×Q8—1221no—
1265C4×Q8—1221no—
1266C4×Q8—1221no—
1267C4×Q8C22×D6111yescharacteristic
1268C4×Q8C22×D6111yescharacteristic
1269C4×Q8C22×D6111yescharacteristic
1270C4×Q8C22×D6111yescharacteristic
1271C4×D4—611no—
1272C4×D4—611no—
1273C4×D4—611no—
1274C4×D4—611no—
1275C4×D4—611no—
1276C4×D4—611no—
1277C4×D4—611no—
1278C4×D4—611no—
1279C4×D4—611no—
1280C4×D4—1221no—
1281C4×D4—1221no—
1282C4×D4—1221no—
1283C4×D4—1221no—
1284C4×D4—1221no—
1285C4×D4—1221no—
1286C4×D4—1221no—
1287C4×D4—1221no—
1288C4×D4—1221no—
1289C4×D4—1221no—
1290#117—21no—
1291#117—21no—
1292#117—611no—
1293#117—611no—
1294#117—611no—
1295#117—1221no—
1296#117—1221no—
1297#117—1221no—
1298#117—1221no—
1299#117—1221no—
1300#117—1221no—
1301#117C22×D6111yescharacteristic
1302#117C22×D6111yescharacteristic
1303C2×C22⋊C4—1221no—
1304C2×C22⋊C4—1221no—
1305C2×C22⋊C4—1221no—
1306C2×C22⋊C4—1221no—
1307C2×C42—611no—
1308C2×C42—1221no—
1309#107—611no—
1310#107—611no—
1311#107—611no—
1312#107—611no—
1313#107—611no—
1314#107—611no—
1315#106—611no—
1316#106—611no—
1317C4⋊C8—611no—
1318C4⋊C8—611no—
1319C4⋊C8—611no—
1320C4⋊C8—611no—
1321C4⋊C8—611no—
1322C4⋊C8—611no—
1323C4⋊C8C22×D6111yescharacteristic
1324C4⋊C8C22×D6111yescharacteristic
1325C4⋊C8C22×D6111yescharacteristic
1326C4⋊C8C22×D6111yescharacteristic
1327#103—611no—
1328#103—611no—
1329#103—611no—
1330#103—611no—
1331#103—611no—
1332#103—611no—
1333#103—611no—
1334#103—611no—
1335#103—611no—
1336#103—611no—
1337#103—611no—
1338#103—611no—
1339#103C22×D6111yescharacteristic
1340#103C22×D6111yescharacteristic
1341#102—611no—
1342#102—611no—
1343#102—611no—
1344#102—611no—
1345#102—611no—
1346#102—611no—
1347#102—611no—
1348#102—611no—
1349#102—611no—
1350#102—611no—
1351#102—611no—
1352#102—611no—
1353#102C22×D6111yescharacteristic
1354#102C22×D6111yescharacteristic
1355#102C22×D6111yescharacteristic
1356#102C22×D6111yescharacteristic
1357#102C22×D6111yescharacteristic
1358#102C22×D6111yescharacteristic
1359C22⋊C8—611no—
1360C22⋊C8—611no—
1361C22⋊C8—611no—
1362C22⋊C8—611no—
1363C22⋊C8—611no—
1364C22⋊C8—611no—
1365#97—611no—
1366#97—611no—
1367#97—611no—
1368#97—611no—
1369C4×C8—611no—
1370C4×C8—611no—
1371C24—21no—
1372C24—1221no—
1373C24—1221no—
1374#41—41no—
1375#41—41no—
1376#41—1222no—
1377#41—4882no—
1378#41—2441no—
1379#41—2441no—
1380#41—2441no—
1381C2×Q8—21no—
1382C2×Q8—22no—
1383C2×Q8—41no—
1384C2×Q8—611no—
1385C2×Q8—611no—
1386C2×Q8—611no—
1387C2×Q8—1221no—
1388C2×Q8—1221no—
1389C2×Q8—1221no—
1390C2×Q8—1221no—
1391C2×Q8—1221no—
1392C2×Q8—1221no—
1393C2×Q8—1222no—
1394C2×Q8—2441no—
1395C2×Q8—2441no—
1396C2×Q8—2441no—
1397C2×Q8C23×D6111yescharacteristic
1398C2×Q8C23×D6111yescharacteristic
1399C2×Q8C23×D6111yescharacteristic
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—611no—
1409C2×D4—611no—
1410C2×D4—611no—
1411C2×D4—611no—
1412C2×D4—611no—
1413C2×D4—1221no—
1414C2×D4—1221no—
1415C2×D4—1221no—
1416C2×D4—1221no—
1417C2×D4—1221no—
1418C2×D4—1221no—
1419C2×D4—1221no—
1420C2×D4—1221no—
1421C2×D4—1221no—
1422C2×D4—1221no—
1423C2×D4—1221no—
1424C2×D4—1221no—
1425C2×D4—4882no—
1426C2×D4—4882no—
1427C2×D4—2441no—
1428C2×D4—2441no—
1429C2×D4—2441no—
1430C2×D4—2441no—
1431C2×D4C23×D6111yescharacteristic
1432C2×D4C23×D6111yescharacteristic
1433C2×D4C23×D6111yescharacteristic
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—611no—
1437C22×C4—611no—
1438C22×C4—611no—
1439C22×C4—611no—
1440C22×C4—1221no—
1441C22×C4—1221no—
1442C22×C4—1221no—
1443C22×C4—1221no—
1444C22×C4—1221no—
1445C22×C4—1221no—
1446C22×C4—1221no—
1447C22×C4—1221no—
1448C22×C4—1221no—
1449C22×C4—1221no—
1450C22×C4C23×D6111yescharacteristic
1451Q16—22no—
1452Q16—41no—
1453Q16—1222no—
1454Q16—2441no—
1455Q16—2441no—
1456Q16—2441no—
1457SD16—22no—
1458SD16—22no—
1459SD16—22no—
1460SD16—41no—
1461SD16—41no—
1462SD16—41no—
1463SD16—1222no—
1464SD16—2441no—
1465SD16—2441no—
1466SD16—2441no—
1467SD16—2441no—
1468SD16—2441no—
1469SD16—2441no—
1470SD16—2441no—
1471D8—2441no—
1472D8—2441no—
1473D8—2441no—
1474D8—2441no—
1475M16—41no—
1476M16—2441no—
1477M16—2441no—
1478M16—2441no—
1479C2×C8—41no—
1480C2×C8—611no—
1481C2×C8—611no—
1482C2×C8—611no—
1483C2×C8—611no—
1484C2×C8—2441no—
1485C2×C8C23×D6111yescharacteristic
1486C2×C8C23×D6111yescharacteristic
1487C2×C8C23×D6111yescharacteristic
1488C2×C8C23×D6111yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—611no—
1494C4⋊C4—611no—
1495C4⋊C4—611no—
1496C4⋊C4—611no—
1497C4⋊C4—611no—
1498C4⋊C4—611no—
1499C4⋊C4—611no—
1500C4⋊C4—611no—
1501C4⋊C4—611no—
1502C4⋊C4—611no—
1503C4⋊C4—611no—
1504C4⋊C4—611no—
1505C4⋊C4—1221no—
1506C4⋊C4—1221no—
1507C4⋊C4—1221no—
1508C4⋊C4—1221no—
1509C4⋊C4—1221no—
1510C4⋊C4—1221no—
1511C4⋊C4—1221no—
1512C4⋊C4—1221no—
1513C4⋊C4—1221no—
1514C4⋊C4—1221no—
1515C4⋊C4—1221no—
1516C4⋊C4—1221no—
1517C4⋊C4—1221no—
1518C4⋊C4—1221no—
1519C4⋊C4—1221no—
1520C4⋊C4—1221no—
1521C4⋊C4—1221no—
1522C4⋊C4—1221no—
1523C4⋊C4D4×D6111yescharacteristic
1524C4⋊C4D4×D6111yescharacteristic
1525C4⋊C4C23×D6111yescharacteristic
1526C4⋊C4C23×D6111yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—611no—
1533C22⋊C4—611no—
1534C22⋊C4—611no—
1535C22⋊C4—611no—
1536C22⋊C4—611no—
1537C22⋊C4—611no—
1538C22⋊C4—611no—
1539C22⋊C4—611no—
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⋊C4—1221no—
1552C22⋊C4—1221no—
1553C22⋊C4—1221no—
1554C22⋊C4—1221no—
1555C22⋊C4—1221no—
1556C22⋊C4—1221no—
1557C22⋊C4—1221no—
1558C22⋊C4—1221no—
1559C22⋊C4—1221no—
1560C22⋊C4—1221no—
1561C22⋊C4—1221no—
1562C22⋊C4—1221no—
1563C22⋊C4—1221no—
1564C22⋊C4—1221no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4D4×D6111yescharacteristic
1573C22⋊C4D4×D6111yescharacteristic
1574C42—21no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—611no—
1580C42—611no—
1581C42—611no—
1582C42—611no—
1583C42—1221no—
1584C42—1221no—
1585C42—1221no—
1586C42—1221no—
1587C42—1221no—
1588C42—1221no—
1589C42—1221no—
1590C42—1221no—
1591C42C23×D6111yescharacteristic
1592C42C23×D6111yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—81no—
1597C23—81no—
1598C23—81no—
1599C23—611no—
1600C23—611no—
1601C23—1221no—
1602C23—1221no—
1603C23—4881no—
1604C23—4881no—
1605C23—4881no—
1606C23—4881no—
1607C23—4881no—
1608C23—2442no—
1609C23C2×D4×D6111yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—42no—
1616Q8—1221no—
1617Q8—1221no—
1618Q8—1221no—
1619Q8—1221no—
1620Q8—4881no—
1621Q8—4881no—
1622Q8—4881no—
1623Q8—4881no—
1624Q8—4881no—
1625Q8—2441no—
1626Q8—2442no—
1627Q8#1451982212yes—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—1221no—
1641D4—1221no—
1642D4—1221no—
1643D4—1221no—
1644D4—4881no—
1645D4—4881no—
1646D4—4881no—
1647D4—4881no—
1648D4—4881no—
1649D4—4881no—
1650D4—4881no—
1651D4—4881no—
1652D4—4881no—
1653D4—2441no—
1654D4—2442no—
1655D4—2441no—
1656D4—2441no—
1657D4—2442no—
1658D4—2442no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—42no—
1667C2×C4—81no—
1668C2×C4—611no—
1669C2×C4—611no—
1670C2×C4—611no—
1671C2×C4—611no—
1672C2×C4—611no—
1673C2×C4—611no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—4881no—
1685C2×C4—4881no—
1686C2×C4—4881no—
1687C2×C4—4881no—
1688C2×C4—4881no—
1689C2×C4—4881no—
1690C2×C4—4881no—
1691C2×C4—2441no—
1692C2×C4—2441no—
1693C2×C4—2442no—
1694C2×C4—2442no—
1695C2×C4—2442no—
1696C2×C4C2×D4×D6111yescharacteristic
1697C2×C4C2×D4×D6111yescharacteristic
1698C2×C4C2×D4×D6111yescharacteristic
1699C2×C4C2×D4×D6111yescharacteristic
1700C2×C4C2×D4×D6111yescharacteristic
1701C2×C4C24×D6111yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1221no—
1707C8—1221no—
1708C8—1221no—
1709C8—1221no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—162no—
1723C22—1221no—
1724C22—1221no—
1725C22—1221no—
1726C22—1221no—
1727C22—1221no—
1728C22—1221no—
1729C22—9762no—
1730C22—9762no—
1731C22—2441no—
1732C22—2441no—
1733C22—2441no—
1734C22—2441no—
1735C22—2441no—
1736C22—2441no—
1737C22C22×D4×D6111yescharacteristic
1738C4—21no—
1739C4—22no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—1221no—
1749C4—1221no—
1750C4—1221no—
1751C4—1221no—
1752C4—1221no—
1753C4—1221no—
1754C4—2441no—
1755C4—2441no—
1756C4—2441no—
1757C4—2441no—
1758C4—2441no—
1759C4—2441no—
1760C4C2×#1451982211yescharacteristic
1761C4#1684059811yescharacteristic
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—4881no—
1767C2—4881no—
1768C2—2441no—
1769C2—2441no—
1770C2#2145948411yescharacteristic
1771C2#2146059711yescharacteristic
1772C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3043C2
socleC22×C61C23×D4
hypercenter#3043D61
hypocenterC61#62092
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3043

Complements

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

NH ≅ G/Ntype
1. #21460337C2semidirect
2. #21459830C2semidirect
3. #21458889C2semidirect
4. #21458878C2semidirect
5. #21458637C2semidirect
6. #21458628C2semidirect
7. #21458053C2semidirect
8. #21458046C2semidirect
9. #21457976C2semidirect
10. #21457971C2semidirect
11. #21457892C2semidirect
12. #21457881C2semidirect
13. #21457471C2semidirect
14. #21457470C2semidirect
15. #21457329C2semidirect
16. #21457323C2semidirect
17. #21457314C2semidirect
18. #21457309C2semidirect
19. #21457280C2semidirect
20. #21457278C2semidirect
21. #21457204C2semidirect
22. #21456918C2semidirect
23. #21456913C2semidirect
24. #21456820C2semidirect
25. #21456048C2semidirect
26. #21456047C2semidirect
27. #21455969C2semidirect
28. #21455335C2semidirect
29. #21455310C2semidirect
30. #21454987C2semidirect
31. C61×#3043C2semidirect
32. C2×#14519809C22semidirect
33. C2×#14519806C22semidirect
35. C2×SD16×D61C22semidirect
40. Q8×Dic122C22semidirect
42. #16840485C22semidirect
44. #16840484C22semidirect
46. #16840480C22semidirect
48. #16840475C22semidirect
49. Q8×C22⋊D61C22semidirect
50. #16840424C22semidirect
51. #16840423C22semidirect
61. #16840384C22semidirect
64. #16840383C22semidirect
72. #16840316C22semidirect
77. #16840238C22semidirect
78. C4×#11758226C22semidirect
79. #16840155C22semidirect
80. #16840153C22semidirect
83. #16840144C22semidirect
84. #16840143C22semidirect
85. #16840123C22semidirect
86. #16840121C22semidirect
87. #16840120C22semidirect
88. #16840120C22semidirect
91. #16840103C22semidirect
92. #16840102C22semidirect
95. #16840084C22semidirect
96. #16840084C22semidirect
97. #16840058C22semidirect
98. #16840058C22semidirect
99. #16840057C22semidirect
100. #16840055C22semidirect
101. #16840047C22semidirect
102. #16840043C22semidirect
103. #16840043C22semidirect
104. #16840040C22semidirect
105. #16840040C22semidirect
106. #16840040C22semidirect
107. #16840011C22semidirect
109. #16840008C22semidirect
110. #16840007C22semidirect
111. #16840007C22semidirect
113. #16840005C22semidirect
114. #16840005C22semidirect
115. #16840003C22semidirect
116. #16840000C22semidirect
119. #16839986C22semidirect
120. #16839986C22semidirect
121. #16839985C22semidirect
122. #16839985C22semidirect
123. #16839984C22semidirect
124. #16839984C22semidirect
125. #16839983C22semidirect
126. #16839982C22semidirect
127. #16839982C22semidirect
128. #16839981C22semidirect
129. #16839980C22semidirect
130. #16839979C22semidirect
131. #16839978C22semidirect
132. #16839978C22semidirect
133. #16839976C22semidirect
134. #16839974C22semidirect
135. #16839965C22semidirect
136. #16839965C22semidirect
139. #16839959C22semidirect
140. #16839954C22semidirect
141. #16839924C22semidirect
142. #16839921C22semidirect
143. #16839919C22semidirect
144. #16839918C22semidirect
145. #16839916C22semidirect
146. #16839916C22semidirect
148. #16839913C22semidirect
150. #16839911C22semidirect
151. #16839908C22semidirect
152. #16839907C22semidirect
153. #16839906C22semidirect
154. #16839906C22semidirect
157. #16839897C22semidirect
158. #16839896C22semidirect
159. #16839891C22semidirect
160. #16839889C22semidirect
161. #16839871C22semidirect
162. #16839871C22semidirect
163. #16839867C22semidirect
164. #16839866C22semidirect
165. #16839863C22semidirect
166. #16839863C22semidirect
167. #16839863C22semidirect
168. #16839860C22semidirect
169. Q16×Dic61C22semidirect
170. C4×#11758202C22semidirect
171. #16839853C22semidirect
172. C4×#11758201C22semidirect
173. #16839839C22semidirect
174. #16839838C22semidirect
175. #16839833C22semidirect
176. #16839833C22semidirect
177. #16839832C22semidirect
178. #16839831C22semidirect
179. #16839823C22semidirect
180. #16839822C22semidirect
181. #16839818C22semidirect
182. #16839787C22semidirect
183. #16839784C22semidirect
184. #16839769C22semidirect
186. #16839765C22semidirect
187. #16839755C22semidirect
188. C2×#137×C61C22semidirect
189. C22×SD16×C61C22semidirect
191. C61×#519C22semidirect
192. C61×#464C22semidirect
193. C61×#464C22semidirect
194. C61×#464C22semidirect
195. C61×#464C22semidirect
198. C61×#460C22semidirect
199. C61×#460C22semidirect
200. C61×#424C22semidirect
201. C61×#418C22semidirect
202. C61×#416C22semidirect
904. #3043D61semidirect
920. C2×#137C2×D61semidirect
923. C22×SD16C2×D61semidirect
967. #519C2×D61semidirect
1019. #464C2×D61semidirect
1020. #464C2×D61semidirect
1021. #464C2×D61semidirect
1022. #464C2×D61semidirect
1036. #460C2×D61semidirect
1037. #460C2×D61semidirect
1081. #424C2×D61semidirect
1086. #418C2×D61semidirect
1088. #416C2×D61semidirect
1089. C61#62092semidirect

Maximal subgroups

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

subgroupindex
#214603372
#214598302
#214588892
#214588782
#214586372
#214586282
#214580532
#214580462
#214579762
#214579712
#214578922
#214578812
#214574712
#214574702
#214573292
#214573232
#214573142
#214573092
#214572802
#214572782
#214572042
#214569182
#214569132
#214568202
#214560482
#214560472
#214559692
#214553352
#214553102
#214549872
C61×#30432
#6209261