Finite Group Databasebeta

← #33978928

Subgroups — #33978928

Order 18688.

1880 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#22623886C211yesmaximal, characteristic, complemented
2#22623489C211yesmaximal, characteristic, complemented
3#22623009C211yesmaximal, characteristic, complemented
4#22622994C211yesmaximal, characteristic, complemented
5#22622755C211yesmaximal, characteristic, complemented
6#22622681C211yesmaximal, characteristic, complemented
7#22622124C211yesmaximal, characteristic, complemented
8#22622094C211yesmaximal, characteristic, complemented
9#22621978C211yesmaximal, characteristic, complemented
10#22621948C211yesmaximal, characteristic, complemented
11#22621814C211yesmaximal, characteristic, complemented
12#22621762C211yesmaximal, characteristic, complemented
13#22621638C211yesmaximal, characteristic, complemented
14#22621616C211yesmaximal, characteristic, complemented
15#22621492C211yesmaximal, characteristic, complemented
16#22621451C211yesmaximal, characteristic, complemented
17#22621441C211yesmaximal, characteristic, complemented
18#22621411C211yesmaximal, characteristic, complemented
19#22621329C211yesmaximal, characteristic, complemented
20#22621280C211yesmaximal, characteristic, complemented
21#22621269C211yesmaximal, characteristic, complemented
22#22620967C211yesmaximal, characteristic, complemented
23#22620934C211yesmaximal, characteristic, complemented
24#22620894C211yesmaximal, characteristic, complemented
25#22620069C211yesmaximal, characteristic, complemented
26#22620037C211yesmaximal, characteristic, complemented
27#22619946C211yesmaximal, characteristic, complemented
28#22619420C211yesmaximal, characteristic, complemented
29#22619383C211yesmaximal, characteristic, complemented
30#22619053C211yesmaximal, characteristic, complemented
31C2×#463×C73C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic, complemented
33C2×#14556615C2211yescharacteristic
34C2×#14556612C2211yescharacteristic, complemented
35C2×#14556610C2211yescharacteristic, complemented
36#17989319C2211yescharacteristic, complemented
37#17989307C2211yescharacteristic, complemented
38#17989306C2211yescharacteristic, complemented
39#17989302C2211yescharacteristic, complemented
40#17989299—21no—
41#17989294C2211yescharacteristic, complemented
42#17989283—21no—
43#17989277—21no—
44#17989272C2211yescharacteristic
45#17989272C2211yescharacteristic, complemented
46#17989267—21no—
47#17989263—21no—
48#17989263—21no—
49#17989263—21no—
50Q8×C22⋊D73C2211yescharacteristic
51#17989248C2211yescharacteristic
52#17989245C2211yescharacteristic, complemented
53#17989241C2211yescharacteristic, complemented
54#17989231C2211yescharacteristic
55#17989231C2211yescharacteristic
56#17989231C2211yescharacteristic, complemented
57#17989230C2211yescharacteristic, complemented
58#17989227—21no—
59D4×C22⋊D73C2211yescharacteristic
60#17989201—21no—
61#17989175—21no—
62#17989171—21no—
63#17989144C2211yescharacteristic, complemented
64#17989136C2211yescharacteristic, complemented
65#17989121C2211yescharacteristic
66#17989119C2211yescharacteristic, complemented
67#17989119C2211yescharacteristic, complemented
68#17989117—21no—
69#17989117—21no—
70#17989116C2211yescharacteristic, complemented
71#17989116C2211yescharacteristic, complemented
72#124×D73C2211yescharacteristic, complemented
73#17989098—21no—
74#17989060—21no—
75C4×#11924028C2211yescharacteristic
76C4×#11924027C2211yescharacteristic, complemented
77C4×#11924027C2211yescharacteristic, complemented
78C2×#14556550—21no—
79#17988982C2211yescharacteristic, complemented
80#17988982C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic
83#17988970C2211yescharacteristic
84#17988968C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988946C2211yescharacteristic, complemented
88#17988946C2211yescharacteristic, complemented
89#17988943C2211yescharacteristic, complemented
90#17988940C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988926C2211yescharacteristic, complemented
93#17988917C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988900C2211yescharacteristic
97#17988896C2211yescharacteristic, complemented
98#17988895C2211yescharacteristic, complemented
99#17988895C2211yescharacteristic, complemented
100#17988892C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988887C2211yescharacteristic, complemented
103#17988887C2211yescharacteristic, complemented
104#17988885C2211yescharacteristic, complemented
105#17988873C2211yescharacteristic, complemented
106#17988868C2211yescharacteristic, complemented
107#17988844C2211yescharacteristic, complemented
108#17988837C2211yescharacteristic
109#17988832C2211yescharacteristic, complemented
110#17988830C2211yescharacteristic, complemented
111#17988828C2211yescharacteristic, complemented
112#17988828C2211yescharacteristic, complemented
113#17988827C2211yescharacteristic, complemented
114#17988820C2211yescharacteristic
115#17988816C2211yescharacteristic
116#17988816C2211yescharacteristic
117#17988815C2211yescharacteristic, complemented
118#17988813C2211yescharacteristic, complemented
119#17988812C2211yescharacteristic, complemented
120#17988810C2211yescharacteristic, complemented
121#17988810C2211yescharacteristic, complemented
122#17988808C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988807C2211yescharacteristic, complemented
125#17988806C2211yescharacteristic, complemented
126#17988806C2211yescharacteristic, complemented
127#17988806C2211yescharacteristic, complemented
128#17988806C2211yescharacteristic, complemented
129#17988804C2211yescharacteristic, complemented
130#17988802C2211yescharacteristic, complemented
131#17988802C2211yescharacteristic, complemented
132#17988800C2211yescharacteristic
133#17988800C2211yescharacteristic
134#17988800C2211yescharacteristic, complemented
135#17988798C2211yescharacteristic, complemented
136#17988796C2211yescharacteristic, complemented
137#17988793C2211yescharacteristic, complemented
138#17988790C2211yescharacteristic, complemented
139#17988786C2211yescharacteristic, complemented
140#17988780C2211yescharacteristic
141#17988752C2211yescharacteristic, complemented
142#17988750C2211yescharacteristic, complemented
143#17988746C2211yescharacteristic, complemented
144#17988746C2211yescharacteristic, complemented
145#17988744C2211yescharacteristic, complemented
146#17988743C2211yescharacteristic, complemented
147#17988743C2211yescharacteristic, complemented
148#17988739C2211yescharacteristic, complemented
149#17988738C2211yescharacteristic
150#17988738C2211yescharacteristic
151#17988738C2211yescharacteristic, complemented
152#17988731C2211yescharacteristic, complemented
153#17988729C2211yescharacteristic
154#17988729C2211yescharacteristic
155#17988729C2211yescharacteristic, complemented
156#17988724C2211yescharacteristic, complemented
157#17988721C2211yescharacteristic
158#17988719C2211yescharacteristic
159#17988716C2211yescharacteristic, complemented
160#17988716C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic
162#17988697C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988691C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988687C2211yescharacteristic, complemented
167#17988687C2211yescharacteristic, complemented
168#17988684C2211yescharacteristic, complemented
169#17988679C2211yescharacteristic, complemented
170#17988678C2211yescharacteristic, complemented
171SD16×Dic73C2211yescharacteristic, complemented
172D8×Dic73C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic
174#17988658C2211yescharacteristic
175#17988657C2211yescharacteristic, complemented
176#17988657C2211yescharacteristic, complemented
177C8×C22⋊D73C2211yescharacteristic, complemented
178C8×C22⋊D73C2211yescharacteristic, complemented
179#17988644C2211yescharacteristic, complemented
180#17988643C2211yescharacteristic, complemented
181#17988639C2211yescharacteristic, complemented
182#17988609C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988594C2211yescharacteristic, complemented
185#17988590C2211yescharacteristic, complemented
186#17988582C2211yescharacteristic, complemented
187#17988580C2211yescharacteristic, complemented
188C22×SD16×C73C2211yescharacteristic, complemented
189C22×D8×C73C2211yescharacteristic
190C2×#124×C73C2211yescharacteristic
191C2×C4×D4×C73C2211yescharacteristic, complemented
192#463×C73C2211yescharacteristic
193#463×C73C2211yescharacteristic
194#463×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic
196#463×C73C2211yescharacteristic, complemented
197#463×C73C2211yescharacteristic, complemented
198#463×C73C2211yescharacteristic, complemented
199#463×C73C2211yescharacteristic, complemented
200C2×C4⋊C8×C73C2211yescharacteristic, complemented
201C2×#103×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C22×C22⋊D73—21no—
210C2×D4×D73C2311yescharacteristic
211#14556620—42no—
212#14556615—42no—
213#14556612—42no—
214#14556610—42no—
215C2×Dic292C2311yescharacteristic
216C2×Dic292C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235#14556591C2311yescharacteristic
236#14556591C2311yescharacteristic
237#14556589—21no—
238#14556589C2311yescharacteristic
239#14556587C2311yescharacteristic
240#14556586—21no—
241#14556586—21no—
242#14556585—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556583—21no—
252#14556583C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556582C2311yescharacteristic
255#14556581—21no—
256#14556581—21no—
257#14556580—21no—
258#14556580C2311yescharacteristic
259#14556579C2311yescharacteristic
260#14556578C2311yescharacteristic
261#14556578C2311yescharacteristic
262#14556578C2311yescharacteristic
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556575—21no—
270#14556575—21no—
271#14556575—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556572—21no—
282#14556572—21no—
283#14556572—21no—
284#14556571C2311yescharacteristic
285#14556571C2311yescharacteristic
286#14556570—21no—
287#14556570—21no—
288#14556570—21no—
289#14556570—21no—
290#14556570C2311yescharacteristic
291#14556570C2311yescharacteristic
292#14556570C2311yescharacteristic
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556567—21no—
298#14556567—21no—
299#14556567C2311yescharacteristic
300#14556567C2311yescharacteristic
301#14556565—21no—
302#14556565—21no—
303#14556565—21no—
304#14556565C2311yescharacteristic
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556562C2311yescharacteristic
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556562C2311yescharacteristic
317#14556561—21no—
318#14556560—21no—
319#14556560—21no—
320#14556560—21no—
321#14556560—21no—
322#14556559—21no—
323Q8×Dic73C2311yescharacteristic
324Q8×Dic73C2311yescharacteristic
325C4×Dic146—21no—
326C4×Dic146D411yescharacteristic
327C4×Dic146C2311yescharacteristic
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331#14556556C2311yescharacteristic
332#14556556C2311yescharacteristic
333C4×D292D411yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73D411yescharacteristic
348C4×C22⋊D73D411yescharacteristic
349C4×C22⋊D73C2311yescharacteristic
350C4×C22⋊D73C2311yescharacteristic
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556550—21no—
360#14556550—21no—
361#14556550—21no—
362#14556550—21no—
363#14556550—21no—
364#14556550—21no—
365#14556550—21no—
366#14556550D411yescharacteristic
367#14556549C2311yescharacteristic
368#14556549C2311yescharacteristic
369#14556548—21no—
370#14556548D411yescharacteristic
371#14556548D411yescharacteristic
372#14556547—21no—
373#14556547—21no—
374#14556547—21no—
375#14556547—21no—
376#14556547—21no—
377C2×C4⋊Dic73—21no—
378C2×C4⋊Dic73—21no—
379C2×C22⋊Dic73—21no—
380C2×C22⋊Dic73—21no—
381C2×C22⋊Dic73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C2×C4×Dic73—21no—
386C2×C4×Dic73—21no—
387C42×D73C2311yescharacteristic
388C42×D73C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556525C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428C22⋊#10596831C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C22×Q8×C73C2311yescharacteristic
440C22×D4×C73C2311yescharacteristic
441C22×D4×C73C2311yescharacteristic
442C23×C4×C73—21no—
443C2×SD16×C73—42no—
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×D8×C73—42no—
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454C22×C8×C73C2311yescharacteristic
455#124×C73—21no—
456#124×C73—21no—
457#124×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#124×C73C2311yescharacteristic
460#124×C73C2311yescharacteristic
461C4×D4×C73—21no—
462C4×D4×C73—21no—
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467C2×C4⋊C4×C73C2311yescharacteristic
468C2×C22⋊C4×C73—21no—
469C2×C22⋊C4×C73—21no—
470C2×C22⋊C4×C73—21no—
471C2×C42×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—41no—
486#11924029—41no—
487#11924028—42no—
488#11924027—22no—
489#11924027—22no—
490#11924027—41no—
491#11924027—41no—
492#11924027—41no—
493#11924027—41no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146C2×D411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×Dic146C2411yescharacteristic
500Q8×D73—41no—
501Q8×D73—41no—
502C2×D292—21no—
503C2×D292C2×D411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—44no—
517C2×C22⋊D73C2×D411yescharacteristic
518C2×C22⋊D73C2×D411yescharacteristic
519D4×D73—41no—
520D4×D73—41no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73C2×D411yescharacteristic
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2×D411yescharacteristic
534C2×C4×D73C2×D411yescharacteristic
535C2×C4×D73C2411yescharacteristic
536C2×C4×D73C2411yescharacteristic
537Dic292—41no—
538Dic292—41no—
539#11924018—41no—
540#11924018—41no—
541#11924018—41no—
542#11924018—41no—
543#11924017—41no—
544#11924017—41no—
545#11924016—22no—
546#11924016—41no—
547#11924016—41no—
548#11924016—41no—
549#11924016—41no—
550#11924016—41no—
551#11924013—22no—
552#11924013—41no—
553#11924011—41no—
554#11924011—41no—
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C8×D73—41no—
560C8×D73—41no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73C2×D411yescharacteristic
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73C2×D411yescharacteristic
614C22⋊Dic73C2×D411yescharacteristic
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C24×C73—21no—
647C24×C73—21no—
648C2×Q8×C73—21no—
649C2×Q8×C73—41no—
650C2×Q8×C73—41no—
651C2×Q8×C73C2411yescharacteristic
652C2×Q8×C73C2411yescharacteristic
653C2×D4×C73—22no—
654C2×D4×C73—21no—
655C2×D4×C73—21no—
656C2×D4×C73—41no—
657C2×D4×C73—41no—
658C2×D4×C73—41no—
659C2×D4×C73C2411yescharacteristic
660C2×D4×C73C2411yescharacteristic
661C2×D4×C73C2411yescharacteristic
662C2×D4×C73C2411yescharacteristic
663C22×C4×C73—21no—
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—44no—
670C22×C4×C73C2×D411yescharacteristic
671C22×C4×C73C2×D411yescharacteristic
672C22×C4×C73C2411yescharacteristic
673SD16×C73—22no—
674SD16×C73—22no—
675SD16×C73—41no—
676SD16×C73—41no—
677D8×C73—22no—
678D8×C73—22no—
679D8×C73—41no—
680D8×C73—41no—
681C2×C8×C73—41no—
682C2×C8×C73—41no—
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—42no—
711C23×C73—42no—
712C23×C73—42no—
713C23×C73—81no—
714C23×C73—81no—
715C23×C73—81no—
716C23×C73C22×D411yescharacteristic
717C22×D73—21no—
718C22×D73—42no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73C22×D411yescharacteristic
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—81no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—42no—
736D4×C73—81no—
737D4×C73H(5,𝔽2)12yes—
738C2×C4×C73—22no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—41no—
746C2×C4×C73—42no—
747C2×C4×C73—42no—
748C2×C4×C73—42no—
749C2×C4×C73—42no—
750C2×C4×C73—42no—
751C2×C4×C73—81no—
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C2511yescharacteristic
758C22⋊D73—22no—
759C22⋊D73—22no—
760C22⋊D73—42no—
761C22⋊D73—42no—
762C22⋊D73—42no—
763C22⋊D73—42no—
764C22⋊D73—42no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—42no—
779C2×Dic73—42no—
780C2×Dic73—42no—
781C2×Dic73—81no—
782C2×Dic73—81no—
783C2×Dic73—81no—
784C2×Dic73—81no—
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791D292—21no—
792D292—21no—
793D292—41no—
794D292—81no—
795C4×D73—21no—
796C4×D73—21no—
797C4×D73—21no—
798C4×D73—21no—
799C4×D73—41no—
800C4×D73—41no—
801C4×D73—41no—
802C4×D73—41no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806Dic146—21no—
807Dic146—21no—
808Dic146—21no—
809Dic146—21no—
810Dic146—21no—
811Dic146—21no—
812Dic146—41no—
813Dic146—81no—
814Dic146—81no—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—22no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—84no—
838C22×C73—162no—
839C22×C73#57512yes—
840C22×C73C23×D411yescharacteristic
841C2×D73—21no—
842C2×D73—21no—
843C2×D73—21no—
844C2×D73—21no—
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—162no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—21no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73C2×H(5,𝔽2)11yescharacteristic
861C4×C73#58511yescharacteristic
862Dic73—21no—
863Dic73—21no—
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—41no—
869Dic73—41no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874Dic73—41no—
875#61990—731nomaximal, Sylow
876C2×C73—22no—
877C2×C73—42no—
878C2×C73—81no—
879C2×C73—81no—
880C2×C73—81no—
881C2×C73#348811yescharacteristic
882C2×C73C2×#57511yescharacteristic
883C2×C73#358411yescharacteristic
884D73—41no—
885D73—41no—
886D73—81no—
887#3514—731no—
888#3475—731no—
889#3402—731no—
890#3401—731no—
891#3376—731no—
892#3370—731no—
893#3321—731no—
894#3319—731no—
895#3312—731no—
896#3310—731no—
897#3300—731no—
898#3296—731no—
899#3282—731no—
900#3280—731no—
901#3269—731no—
902#3267—731no—
903#3266—731no—
904#3264—731no—
905#3256—731no—
906#3250—731no—
907#3248—731no—
908#3219—731no—
909#3215—731no—
910#3211—731no—
911#3114—731no—
912#3111—731no—
913#3102—731no—
914#3040—731no—
915#3035—731no—
916C2×#463D7311yescharacteristic, complemented
917#2990—731no—
918C73#6199011yescharacteristic, complemented, Sylow
919C2×#137—731no—
920C2×AGL(1,ℤ/8)—731no—
921C2×#135—731no—
922C2×#135—731no—
923C22×SD16C2×D7311yescharacteristic, complemented
924C22×D8C2×D7311yescharacteristic
925#559—731no—
926#556—731no—
927#556—731no—
928#555—731no—
929#555—1461no—
930#554—731no—
931#553—1461no—
932#552—731no—
933#552—731no—
934#552—1461no—
935#551—1461no—
936#551—1461no—
937#551—1461no—
938#551—1461no—
939D4×Q8—731no—
940#548—731no—
941#548—731no—
942#547—731no—
943#546—731no—
944#546—731no—
945#546—731no—
946#546—731no—
947#546—1461no—
948D42—731no—
949#542—1461no—
950#538—1461no—
951#538—1461no—
952#533—731no—
953#532—731no—
954#529—731no—
955#529—731no—
956#529—731no—
957#529—731no—
958#529—731no—
959#529—1461no—
960#529—1461no—
961C2×#124—731no—
962C2×#124C2×D7311yescharacteristic
963#525—1461no—
964#518—1461no—
965C4×#41—731no—
966C4×#41—731no—
967C4×#41—731no—
968C2×C4×D4C2×D7311yescharacteristic, complemented
969C2×#117—1461no—
970#497—731no—
971#497—731no—
972#497—731no—
973#496—731no—
974#495—731no—
975#495—731no—
976#491—731no—
977#490—731no—
978#489—731no—
979#489—731no—
980#488—731no—
981#488—731no—
982#485—731no—
983#485—731no—
984#483—731no—
985#482—731no—
986#482—731no—
987#480—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#479—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#478—731no—
996#475—731no—
997#474—731no—
998#470—731no—
999#469—731no—
1000#468—731no—
1001#468—731no—
1002#467—731no—
1003#467—731no—
1004#467—731no—
1005#466—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#465—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463C2×D7311yescharacteristic
1027#463C2×D7311yescharacteristic
1028#463C2×D7311yescharacteristic
1029#463C2×D7311yescharacteristic
1030#463C2×D7311yescharacteristic, complemented
1031#463C2×D7311yescharacteristic, complemented
1032#463C2×D7311yescharacteristic, complemented
1033#463C2×D7311yescharacteristic, complemented
1034#462—731no—
1035#462—731no—
1036#461—731no—
1037#461—731no—
1038#460—731no—
1039#459—731no—
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#452—731no—
1044#451—731no—
1045#451—731no—
1046#451—731no—
1047#450—731no—
1048#450—731no—
1049#450—731no—
1050#450—731no—
1051#449—731no—
1052#449—731no—
1053#449—731no—
1054#449—731no—
1055#448—731no—
1056#447—731no—
1057#447—731no—
1058#446—731no—
1059#446—731no—
1060#442—731no—
1061#442—731no—
1062#442—731no—
1063#441—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067#440—731no—
1068C4×Q16—731no—
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×D8—731no—
1072#435—731no—
1073#435—731no—
1074#435—731no—
1075#435—731no—
1076C8×D4—731no—
1077C8×D4—731no—
1078#432—731no—
1079#432—731no—
1080#431—731no—
1081#423—731no—
1082C2×C4⋊C8—731no—
1083C2×C4⋊C8C2×D7311yescharacteristic, complemented
1084#419—731no—
1085#418—731no—
1086#416—731no—
1087#416—731no—
1088C2×#103C2×D7311yescharacteristic, complemented
1089C2×#102C2×D7311yescharacteristic
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—731no—
1094C2×#41—731no—
1095C22×Q8—731no—
1096C22×Q8C22×D7311yescharacteristic
1097C22×D4—731no—
1098C22×D4—1461no—
1099C22×D4C22×D7311yescharacteristic
1100C22×D4C22×D7311yescharacteristic
1101C23×C4—21no—
1102#137—2922no—
1103AGL(1,ℤ/8)—2922no—
1104#135—2922no—
1105#135—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16—731no—
1109C2×Q16—731no—
1110C2×Q16—731no—
1111C2×Q16—731no—
1112C2×SD16—42no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16C22×D7311yescharacteristic
1122C2×SD16C22×D7311yescharacteristic
1123C2×SD16C22×D7311yescharacteristic
1124C2×SD16C22×D7311yescharacteristic
1125C2×D8—42no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8C22×D7311yescharacteristic
1129C2×D8C22×D7311yescharacteristic
1130C2×D8C22×D7311yescharacteristic
1131C2×D8C22×D7311yescharacteristic
1132C2×M16—731no—
1133C2×M16—731no—
1134C22×C8—731no—
1135C22×C8—731no—
1136C22×C8C22×D7311yescharacteristic
1137C22×C8C22×D7311yescharacteristic
1138C4⋊Q8—731no—
1139C4⋊Q8—731no—
1140C4⋊Q8—731no—
1141C4⋊Q8—1461no—
1142#127—731no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#125—731no—
1155#125—731no—
1156#125—731no—
1157#125—1461no—
1158#125—1461no—
1159#125—1461no—
1160#124—21no—
1161#124—21no—
1162#124—731no—
1163#124—731no—
1164#124—731no—
1165#124—731no—
1166#124—731no—
1167#124—1461no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124C22×D7311yescharacteristic
1175#124C22×D7311yescharacteristic
1176#124C22×D7311yescharacteristic
1177#124C22×D7311yescharacteristic
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193C22⋊Q8—731no—
1194C22⋊Q8—731no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—731no—
1199C22⋊Q8—731no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210#121—731no—
1211#121—731no—
1212#121—731no—
1213#121—731no—
1214#121—731no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#120—1461no—
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231#120—1461no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—731no—
1237C4×Q8—731no—
1238C4×Q8—731no—
1239C4×Q8—731no—
1240C4×Q8—731no—
1241C4×Q8—1461no—
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4C22×D7311yescharacteristic
1271C4×D4C22×D7311yescharacteristic
1272C4×D4C22×D7311yescharacteristic
1273C4×D4C22×D7311yescharacteristic
1274#117—731no—
1275#117—731no—
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117—1461no—
1292C2×C4⋊C4—1461no—
1293C2×C4⋊C4—1461no—
1294C2×C4⋊C4C22×D7311yescharacteristic
1295C2×C22⋊C4—21no—
1296C2×C22⋊C4—21no—
1297C2×C22⋊C4—21no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C42—731no—
1305C2×C42—731no—
1306C2×C42—1461no—
1307C2×C42—1461no—
1308C2×C42C22×D7311yescharacteristic
1309#107—731no—
1310#107—731no—
1311#107—731no—
1312#107—731no—
1313#106—731no—
1314#106—731no—
1315#106—731no—
1316#106—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8C22×D7311yescharacteristic
1324C4⋊C8C22×D7311yescharacteristic
1325C4⋊C8C22×D7311yescharacteristic
1326C4⋊C8C22×D7311yescharacteristic
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103C22×D7311yescharacteristic
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
1342#103C22×D7311yescharacteristic
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358#102C22×D7311yescharacteristic
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8—731no—
1364C22⋊C8—731no—
1365#97—731no—
1366#97—731no—
1367#97—731no—
1368#97—731no—
1369C4×C8—731no—
1370C4×C8—731no—
1371C24—21no—
1372C24—21no—
1373C24—1461no—
1374#41—2922no—
1375#41—2921no—
1376#41—2921no—
1377#41—2921no—
1378#41—2921no—
1379#41—2921no—
1380#41—2921no—
1381#41—1462no—
1382#41—1462no—
1383C2×Q8—21no—
1384C2×Q8—41no—
1385C2×Q8—41no—
1386C2×Q8—2921no—
1387C2×Q8—2921no—
1388C2×Q8—731no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—731no—
1392C2×Q8—1461no—
1393C2×Q8—1461no—
1394C2×Q8C23×D7311yescharacteristic
1395C2×Q8C23×D7311yescharacteristic
1396C2×D4—22no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—2924no—
1403C2×D4—2921no—
1404C2×D4—2921no—
1405C2×D4—731no—
1406C2×D4—731no—
1407C2×D4—731no—
1408C2×D4—731no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4C23×D7311yescharacteristic
1422C2×D4C23×D7311yescharacteristic
1423C2×D4C23×D7311yescharacteristic
1424C2×D4C23×D7311yescharacteristic
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—44no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—731no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4D4×D7311yescharacteristic
1449C22×C4D4×D7311yescharacteristic
1450C22×C4C23×D7311yescharacteristic
1451Q16—2921no—
1452Q16—2921no—
1453Q16—2921no—
1454Q16—2921no—
1455Q16—2921no—
1456Q16—2921no—
1457SD16—22no—
1458SD16—22no—
1459SD16—41no—
1460SD16—41no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—2921no—
1467SD16—2921no—
1468SD16—1462no—
1469D8—22no—
1470D8—22no—
1471D8—41no—
1472D8—41no—
1473D8—2921no—
1474D8—1462no—
1475M16—2921no—
1476M16—2921no—
1477C2×C8—41no—
1478C2×C8—41no—
1479C2×C8—2921no—
1480C2×C8—2921no—
1481C2×C8—731no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—731no—
1494C4⋊C4—731no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4C23×D7311yescharacteristic
1526C4⋊C4C23×D7311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—731no—
1540C22⋊C4—731no—
1541C22⋊C4—731no—
1542C22⋊C4—731no—
1543C22⋊C4—731no—
1544C22⋊C4—731no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C42—731no—
1575C42—731no—
1576C42—731no—
1577C42—731no—
1578C42—731no—
1579C42—731no—
1580C42—1461no—
1581C42—1461no—
1582C42—1461no—
1583C42—1461no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42D4×D7311yescharacteristic
1590C42D4×D7311yescharacteristic
1591C42C23×D7311yescharacteristic
1592C42C23×D7311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—42no—
1598C23—42no—
1599C23—42no—
1600C23—81no—
1601C23—81no—
1602C23—81no—
1603C23—2922no—
1604C23—5841no—
1605C23—5841no—
1606C23—731no—
1607C23—731no—
1608C23—1461no—
1609C23C2×D4×D7311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—81no—
1615Q8—2921no—
1616Q8—5841no—
1617Q8—5841no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8—1461no—
1621Q8—1461no—
1622Q8—1461no—
1623Q8—1461no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—42no—
1632D4—81no—
1633D4—2921no—
1634D4—2922no—
1635D4—2922no—
1636D4—2922no—
1637D4—2922no—
1638D4—2922no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—5841no—
1645D4—5841no—
1646D4—1462no—
1647D4—1462no—
1648D4—1461no—
1649D4—1461no—
1650D4#1455663612yes—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—41no—
1659C2×C4—42no—
1660C2×C4—42no—
1661C2×C4—42no—
1662C2×C4—42no—
1663C2×C4—42no—
1664C2×C4—81no—
1665C2×C4—2921no—
1666C2×C4—2921no—
1667C2×C4—2921no—
1668C2×C4—2921no—
1669C2×C4—2922no—
1670C2×C4—2922no—
1671C2×C4—2922no—
1672C2×C4—5841no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—731no—
1680C2×C4—731no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—731no—
1685C2×C4—1461no—
1686C2×C4—1461no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4—1461no—
1694C2×C4—1461no—
1695C2×C4—1461no—
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C2×D4×D7311yescharacteristic
1700C2×C4C2×D4×D7311yescharacteristic
1701C2×C4C24×D7311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C8—1461no—
1710C22—21no—
1711C22—21no—
1712C22—22no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—84no—
1725C22—162no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—11682no—
1730C22—1461no—
1731C22—1461no—
1732C22—1461no—
1733C22—1461no—
1734C22—1461no—
1735C22—1461no—
1736C22#1798938312yes—
1737C22C22×D4×D7311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—2921no—
1748C4—2921no—
1749C4—2921no—
1750C4—2921no—
1751C4—2921no—
1752C4—2921no—
1753C4—2921no—
1754C4—1461no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4—1461no—
1759C4—1461no—
1760C4C2×#1455663611yescharacteristic
1761C4#1798942311yescharacteristic
1762C2—22no—
1763C2—42no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—2921no—
1768C2—2921no—
1769C2—5841no—
1770C2#2262359611yescharacteristic
1771C2C2×#1798938311yescharacteristic
1772C2#2262470011yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#463×C73C2
socleC22×C73C23×D4
hypercenterC2×#463D73
hypocenterC73#61990
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#463

Complements

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

NH ≅ G/Ntype
1. #22623886C2semidirect
2. #22623489C2semidirect
3. #22623009C2semidirect
4. #22622994C2semidirect
5. #22622755C2semidirect
6. #22622681C2semidirect
7. #22622124C2semidirect
8. #22622094C2semidirect
9. #22621978C2semidirect
10. #22621948C2semidirect
11. #22621814C2semidirect
12. #22621762C2semidirect
13. #22621638C2semidirect
14. #22621616C2semidirect
15. #22621492C2semidirect
16. #22621451C2semidirect
17. #22621441C2semidirect
18. #22621411C2semidirect
19. #22621329C2semidirect
20. #22621280C2semidirect
21. #22621269C2semidirect
22. #22620967C2semidirect
23. #22620934C2semidirect
24. #22620894C2semidirect
25. #22620069C2semidirect
26. #22620037C2semidirect
27. #22619946C2semidirect
28. #22619420C2semidirect
29. #22619383C2semidirect
30. #22619053C2semidirect
31. C2×#463×C73C2semidirect
32. C2×#14556620C22semidirect
34. C2×#14556612C22semidirect
35. C2×#14556610C22semidirect
36. #17989319C22semidirect
37. #17989307C22semidirect
38. #17989306C22semidirect
39. #17989302C22semidirect
41. #17989294C22semidirect
45. #17989272C22semidirect
52. #17989245C22semidirect
53. #17989241C22semidirect
56. #17989231C22semidirect
57. #17989230C22semidirect
63. #17989144C22semidirect
64. #17989136C22semidirect
66. #17989119C22semidirect
67. #17989119C22semidirect
70. #17989116C22semidirect
71. #17989116C22semidirect
72. #124×D73C22semidirect
76. C4×#11924027C22semidirect
77. C4×#11924027C22semidirect
79. #17988982C22semidirect
80. #17988982C22semidirect
81. #17988978C22semidirect
84. #17988968C22semidirect
85. #17988954C22semidirect
86. #17988950C22semidirect
87. #17988946C22semidirect
88. #17988946C22semidirect
89. #17988943C22semidirect
90. #17988940C22semidirect
91. #17988927C22semidirect
92. #17988926C22semidirect
93. #17988917C22semidirect
94. #17988910C22semidirect
95. #17988909C22semidirect
97. #17988896C22semidirect
98. #17988895C22semidirect
99. #17988895C22semidirect
100. #17988892C22semidirect
101. #17988889C22semidirect
102. #17988887C22semidirect
103. #17988887C22semidirect
104. #17988885C22semidirect
105. #17988873C22semidirect
106. #17988868C22semidirect
107. #17988844C22semidirect
109. #17988832C22semidirect
110. #17988830C22semidirect
111. #17988828C22semidirect
112. #17988828C22semidirect
113. #17988827C22semidirect
117. #17988815C22semidirect
118. #17988813C22semidirect
119. #17988812C22semidirect
120. #17988810C22semidirect
121. #17988810C22semidirect
122. #17988808C22semidirect
123. #17988807C22semidirect
124. #17988807C22semidirect
125. #17988806C22semidirect
126. #17988806C22semidirect
127. #17988806C22semidirect
128. #17988806C22semidirect
129. #17988804C22semidirect
130. #17988802C22semidirect
131. #17988802C22semidirect
134. #17988800C22semidirect
135. #17988798C22semidirect
136. #17988796C22semidirect
137. #17988793C22semidirect
138. #17988790C22semidirect
139. #17988786C22semidirect
141. #17988752C22semidirect
142. #17988750C22semidirect
143. #17988746C22semidirect
144. #17988746C22semidirect
145. #17988744C22semidirect
146. #17988743C22semidirect
147. #17988743C22semidirect
148. #17988739C22semidirect
151. #17988738C22semidirect
152. #17988731C22semidirect
155. #17988729C22semidirect
156. #17988724C22semidirect
159. #17988716C22semidirect
160. #17988716C22semidirect
162. #17988697C22semidirect
163. #17988697C22semidirect
164. #17988691C22semidirect
165. #17988688C22semidirect
166. #17988687C22semidirect
167. #17988687C22semidirect
168. #17988684C22semidirect
169. #17988679C22semidirect
170. #17988678C22semidirect
171. SD16×Dic73C22semidirect
172. D8×Dic73C22semidirect
175. #17988657C22semidirect
176. #17988657C22semidirect
177. C8×C22⋊D73C22semidirect
178. C8×C22⋊D73C22semidirect
179. #17988644C22semidirect
180. #17988643C22semidirect
181. #17988639C22semidirect
182. #17988609C22semidirect
183. C4⋊C8×D73C22semidirect
184. #17988594C22semidirect
185. #17988590C22semidirect
186. #17988582C22semidirect
187. #17988580C22semidirect
188. C22×SD16×C73C22semidirect
191. C2×C4×D4×C73C22semidirect
196. #463×C73C22semidirect
197. #463×C73C22semidirect
198. #463×C73C22semidirect
199. #463×C73C22semidirect
200. C2×C4⋊C8×C73C22semidirect
201. C2×#103×C73C22semidirect
916. C2×#463D73semidirect
918. C73#61990semidirect
923. C22×SD16C2×D73semidirect
968. C2×C4×D4C2×D73semidirect
1030. #463C2×D73semidirect
1031. #463C2×D73semidirect
1032. #463C2×D73semidirect
1033. #463C2×D73semidirect
1083. C2×C4⋊C8C2×D73semidirect
1088. C2×#103C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238862
#226234892
#226230092
#226229942
#226227552
#226226812
#226221242
#226220942
#226219782
#226219482
#226218142
#226217622
#226216382
#226216162
#226214922
#226214512
#226214412
#226214112
#226213292
#226212802
#226212692
#226209672
#226209342
#226208942
#226200692
#226200372
#226199462
#226194202
#226193832
#226190532
C2×#463×C732
#6199073